19.696 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.068 * * * [progress]: [2/2] Setting up program. 0.071 * [progress]: [Phase 2 of 3] Improving. 0.071 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.071 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.071 * * [simplify]: iteration 0: 6 enodes 0.072 * * [simplify]: iteration 1: 11 enodes 0.074 * * [simplify]: iteration 2: 12 enodes 0.075 * * [simplify]: iteration complete: 12 enodes 0.075 * * [simplify]: Extracting #0: cost 1 inf + 0 0.075 * * [simplify]: Extracting #1: cost 4 inf + 0 0.075 * * [simplify]: Extracting #2: cost 6 inf + 0 0.075 * * [simplify]: Extracting #3: cost 4 inf + 183 0.075 * * [simplify]: Extracting #4: cost 0 inf + 560 0.075 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.076 * * [progress]: iteration 1 / 4 0.076 * * * [progress]: picking best candidate 0.078 * * * * [pick]: Picked # 0.078 * * * [progress]: localizing error 0.099 * * * [progress]: generating rewritten candidates 0.099 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.109 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.113 * * * [progress]: generating series expansions 0.113 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.113 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.113 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.113 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.113 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.113 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.113 * [taylor]: Taking taylor expansion of N in N 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [taylor]: Taking taylor expansion of 1 in N 0.113 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (+ 0 1) into 1 0.114 * [backup-simplify]: Simplify (log 1) into 0 0.114 * [taylor]: Taking taylor expansion of (log N) in N 0.114 * [taylor]: Taking taylor expansion of N in N 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (log 1) into 0 0.115 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.115 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.115 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.115 * [taylor]: Taking taylor expansion of N in N 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [taylor]: Taking taylor expansion of 1 in N 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (+ 0 1) into 1 0.115 * [backup-simplify]: Simplify (log 1) into 0 0.115 * [taylor]: Taking taylor expansion of (log N) in N 0.115 * [taylor]: Taking taylor expansion of N in N 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (log 1) into 0 0.116 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.116 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.116 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.116 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.130 * [backup-simplify]: Simplify (+ 1 0) into 1 0.131 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.132 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.132 * [backup-simplify]: Simplify (- 0) into 0 0.132 * [backup-simplify]: Simplify (+ 1 0) into 1 0.132 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.137 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.138 * [backup-simplify]: Simplify -1/2 into -1/2 0.138 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.138 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.138 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.138 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.138 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.138 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [taylor]: Taking taylor expansion of 1 in N 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (+ 1 0) into 1 0.139 * [backup-simplify]: Simplify (log 1) into 0 0.139 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.139 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.139 * [taylor]: Taking taylor expansion of N in N 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [backup-simplify]: Simplify (log 1) into 0 0.140 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.140 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.140 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.140 * [taylor]: Taking taylor expansion of N in N 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [taylor]: Taking taylor expansion of 1 in N 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (+ 1 0) into 1 0.140 * [backup-simplify]: Simplify (log 1) into 0 0.140 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.140 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.140 * [taylor]: Taking taylor expansion of N in N 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [backup-simplify]: Simplify (log 1) into 0 0.141 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.142 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.142 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.142 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (+ 0 1) into 1 0.143 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [backup-simplify]: Simplify (+ 1 0) into 1 0.145 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.154 * [backup-simplify]: Simplify (- 0) into 0 0.154 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.154 * [backup-simplify]: Simplify -1/2 into -1/2 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [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 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [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 0.169 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.169 * [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 0.170 * [taylor]: Taking taylor expansion of 1 in N 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [backup-simplify]: Simplify (- 1) into -1 0.171 * [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 0.172 * [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 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [backup-simplify]: Simplify (- 1) into -1 0.174 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.174 * [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 0.175 * [backup-simplify]: Simplify (/ -1 1) into -1 0.175 * [backup-simplify]: Simplify (log -1) into (log -1) 0.176 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.177 * [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)) 0.178 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (- 0) into 0 0.180 * [backup-simplify]: Simplify (+ 1 0) into 1 0.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.182 * [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 0.184 * [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 0.187 * [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 0.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.195 * [backup-simplify]: Simplify (- 0) into 0 0.196 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.196 * [backup-simplify]: Simplify -1/2 into -1/2 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [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 0.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [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 0.210 * [backup-simplify]: Simplify (- 0) into 0 0.211 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.211 * [backup-simplify]: Simplify -1/3 into -1/3 0.211 * [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)))) 0.211 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.211 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.211 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.211 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.211 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.211 * [taylor]: Taking taylor expansion of N in N 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [taylor]: Taking taylor expansion of 1 in N 0.211 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (+ 0 1) into 1 0.212 * [backup-simplify]: Simplify (log 1) into 0 0.212 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.212 * [taylor]: Taking taylor expansion of (+ N 1) 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 0.213 * [taylor]: Taking taylor expansion of 1 in N 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (+ 0 1) into 1 0.213 * [backup-simplify]: Simplify (log 1) into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify (+ 1 0) into 1 0.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.215 * [backup-simplify]: Simplify 1 into 1 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 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [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 0.224 * [backup-simplify]: Simplify 1/3 into 1/3 0.224 * [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))) 0.224 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.224 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.225 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.225 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.225 * [taylor]: Taking taylor expansion of N in N 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [taylor]: Taking taylor expansion of 1 in N 0.225 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (+ 1 0) into 1 0.226 * [backup-simplify]: Simplify (log 1) into 0 0.226 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.226 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.226 * [taylor]: Taking taylor expansion of N in N 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [taylor]: Taking taylor expansion of 1 in N 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (+ 1 0) into 1 0.228 * [backup-simplify]: Simplify (log 1) into 0 0.228 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.228 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ 0 1) into 1 0.231 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.231 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.235 * [backup-simplify]: Simplify -1/2 into -1/2 0.235 * [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)))) 0.235 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.235 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.235 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.236 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.236 * [taylor]: Taking taylor expansion of 1 in N 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [backup-simplify]: Simplify (- 1) into -1 0.237 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.237 * [backup-simplify]: Simplify (log -1) into (log -1) 0.237 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.237 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.237 * [taylor]: Taking taylor expansion of 1 in N 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.237 * [taylor]: Taking taylor expansion of N in N 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [backup-simplify]: Simplify (- 1) into -1 0.239 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.239 * [backup-simplify]: Simplify (log -1) into (log -1) 0.240 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.240 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (- 0) into 0 0.242 * [backup-simplify]: Simplify (+ 1 0) into 1 0.244 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.244 * [backup-simplify]: Simplify -1 into -1 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.248 * [backup-simplify]: Simplify -1/2 into -1/2 0.249 * [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)))) 0.249 * * * [progress]: simplifying candidates 0.249 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.249 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.249 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.250 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.250 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.250 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.250 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.250 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.250 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.250 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.250 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.250 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.250 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.250 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.250 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.250 * * * * [progress]: [ 16 / 49 ] simplifiying candidate # 0.250 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.250 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.250 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 27 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.251 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.252 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.253 * [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)))) 0.255 * * [simplify]: iteration 0: 97 enodes 0.282 * * [simplify]: iteration 1: 199 enodes 0.352 * * [simplify]: iteration 2: 463 enodes 0.498 * * [simplify]: iteration 3: 1350 enodes 0.776 * * [simplify]: iteration 4: 2006 enodes 1.229 * * [simplify]: iteration complete: 2006 enodes 1.229 * * [simplify]: Extracting #0: cost 42 inf + 0 1.230 * * [simplify]: Extracting #1: cost 207 inf + 1 1.233 * * [simplify]: Extracting #2: cost 469 inf + 868 1.240 * * [simplify]: Extracting #3: cost 434 inf + 20839 1.264 * * [simplify]: Extracting #4: cost 137 inf + 89967 1.295 * * [simplify]: Extracting #5: cost 55 inf + 116652 1.324 * * [simplify]: Extracting #6: cost 14 inf + 123267 1.342 * * [simplify]: Extracting #7: cost 0 inf + 127159 1.361 * [simplify]: Simplified to: (/ (+ N 1) N) (log (- (log (+ N 1)) (log N))) (/ (+ N 1) 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))) (- (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) (* (* (log N) (log N)) (log N))) (+ (* (log N) (+ (log N) (log (+ N 1)))) (* (log (+ N 1)) (log (+ N 1)))) (- (log N)) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (+ (log N) (log (+ N 1))) (+ (sqrt (log N)) (sqrt (log (+ N 1)))) (- (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))) (log (cbrt N))) (- (log (+ N 1)) (log (sqrt N))) (log (+ N 1)) (- (log (cbrt (+ N 1))) (log N)) (- (log (sqrt (+ N 1))) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (+ (log (+ (- 1 N) (* N N))) (log N)) (+ (log N) (log (- N 1))) (- (log N)) (real->posit16 (- (log (+ N 1)) (log N))) (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) 0 (log (+ N 1)) 0 (log (+ N 1)) (log (+ 1 (* (* N N) N))) (log (+ (- 1 N) (* N N))) (log (+ -1 (* N N))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (+ 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)) (* (* N N) -1/2)) (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (+ N (* (* N N) (- (* 1/3 N) 1/2))) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (log N)) (+ (+ (+ 0 (log N)) (/ -1/2 (* N N))) (/ 1 N)) 1.364 * * * [progress]: adding candidates to table 1.517 * * [progress]: iteration 2 / 4 1.517 * * * [progress]: picking best candidate 1.529 * * * * [pick]: Picked # 1.529 * * * [progress]: localizing error 1.554 * * * [progress]: generating rewritten candidates 1.554 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.655 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.662 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.666 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.679 * * * [progress]: generating series expansions 1.679 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.679 * [backup-simplify]: Simplify (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1.679 * [approximate]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 1.679 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 1.679 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 1.679 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.679 * [taylor]: Taking taylor expansion of N in N 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify (/ 1 1) into 1 1.680 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 1.680 * [taylor]: Taking taylor expansion of 1/3 in N 1.680 * [backup-simplify]: Simplify 1/3 into 1/3 1.680 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.680 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.680 * [taylor]: Taking taylor expansion of N in N 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify (* 1 1) into 1 1.680 * [backup-simplify]: Simplify (* 1 1) into 1 1.680 * [backup-simplify]: Simplify (/ 1 1) into 1 1.680 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 1.681 * [taylor]: Taking taylor expansion of 1/2 in N 1.681 * [backup-simplify]: Simplify 1/2 into 1/2 1.681 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.681 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.681 * [taylor]: Taking taylor expansion of N in N 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [backup-simplify]: Simplify (* 1 1) into 1 1.681 * [backup-simplify]: Simplify (/ 1 1) into 1 1.681 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 1.681 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 1.681 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.681 * [taylor]: Taking taylor expansion of N in N 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [backup-simplify]: Simplify (/ 1 1) into 1 1.681 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 1.681 * [taylor]: Taking taylor expansion of 1/3 in N 1.681 * [backup-simplify]: Simplify 1/3 into 1/3 1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.682 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.682 * [taylor]: Taking taylor expansion of N in N 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.682 * [backup-simplify]: Simplify (* 1 1) into 1 1.682 * [backup-simplify]: Simplify (* 1 1) into 1 1.682 * [backup-simplify]: Simplify (/ 1 1) into 1 1.682 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 1.682 * [taylor]: Taking taylor expansion of 1/2 in N 1.682 * [backup-simplify]: Simplify 1/2 into 1/2 1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.682 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.682 * [taylor]: Taking taylor expansion of N in N 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.683 * [backup-simplify]: Simplify (* 1 1) into 1 1.683 * [backup-simplify]: Simplify (/ 1 1) into 1 1.683 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 1.684 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 1.684 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 1.684 * [backup-simplify]: Simplify 1/3 into 1/3 1.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1.686 * [backup-simplify]: Simplify (+ 0 0) into 0 1.686 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.686 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.687 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.687 * [backup-simplify]: Simplify -1/2 into -1/2 1.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.689 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 1.689 * [backup-simplify]: Simplify (+ 1 0) into 1 1.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.690 * [backup-simplify]: Simplify (- 0) into 0 1.691 * [backup-simplify]: Simplify (+ 1 0) into 1 1.691 * [backup-simplify]: Simplify 1 into 1 1.691 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1.691 * [backup-simplify]: Simplify (+ (+ (/ -1/2 (* (/ 1 N) (/ 1 N))) (/ 1 (/ 1 N))) (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N)))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1.691 * [approximate]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in (N) around 0 1.691 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 1.691 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 1.691 * [taylor]: Taking taylor expansion of N in N 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 1 into 1 1.691 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 1.691 * [taylor]: Taking taylor expansion of 1/3 in N 1.691 * [backup-simplify]: Simplify 1/3 into 1/3 1.691 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.691 * [taylor]: Taking taylor expansion of N in N 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 1 into 1 1.691 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.692 * [taylor]: Taking taylor expansion of 1/2 in N 1.692 * [backup-simplify]: Simplify 1/2 into 1/2 1.692 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.692 * [taylor]: Taking taylor expansion of N in N 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 1.692 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 1.692 * [taylor]: Taking taylor expansion of N in N 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 1.692 * [taylor]: Taking taylor expansion of 1/3 in N 1.692 * [backup-simplify]: Simplify 1/3 into 1/3 1.692 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.692 * [taylor]: Taking taylor expansion of N in N 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.692 * [taylor]: Taking taylor expansion of 1/2 in N 1.692 * [backup-simplify]: Simplify 1/2 into 1/2 1.692 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.692 * [taylor]: Taking taylor expansion of N in N 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [backup-simplify]: Simplify (+ 0 0) into 0 1.693 * [backup-simplify]: Simplify (+ 0 0) into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify (+ 1 0) into 1 1.693 * [backup-simplify]: Simplify (+ 1 0) into 1 1.693 * [backup-simplify]: Simplify 1 into 1 1.693 * [backup-simplify]: Simplify (+ 0 0) into 0 1.694 * [backup-simplify]: Simplify (* 1 1) into 1 1.694 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.694 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.694 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.695 * [backup-simplify]: Simplify -1/2 into -1/2 1.695 * [backup-simplify]: Simplify (* 1 1) into 1 1.695 * [backup-simplify]: Simplify (* 1 1) into 1 1.695 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 1.696 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 1.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.697 * [backup-simplify]: Simplify (- 0) into 0 1.697 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 1.697 * [backup-simplify]: Simplify 1/3 into 1/3 1.697 * [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)))) 1.697 * [backup-simplify]: Simplify (+ (+ (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (/ 1 (- N)))) (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) 1.698 * [approximate]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in (N) around 0 1.698 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 1.698 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 1.698 * [taylor]: Taking taylor expansion of N in N 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 1.698 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.698 * [taylor]: Taking taylor expansion of 1/2 in N 1.698 * [backup-simplify]: Simplify 1/2 into 1/2 1.698 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.698 * [taylor]: Taking taylor expansion of N in N 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 1.698 * [taylor]: Taking taylor expansion of 1/3 in N 1.698 * [backup-simplify]: Simplify 1/3 into 1/3 1.698 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.698 * [taylor]: Taking taylor expansion of N in N 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 1.698 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 1.698 * [taylor]: Taking taylor expansion of N in N 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 1.698 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.698 * [taylor]: Taking taylor expansion of 1/2 in N 1.698 * [backup-simplify]: Simplify 1/2 into 1/2 1.698 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.698 * [taylor]: Taking taylor expansion of N in N 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 1.698 * [taylor]: Taking taylor expansion of 1/3 in N 1.698 * [backup-simplify]: Simplify 1/3 into 1/3 1.698 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.698 * [taylor]: Taking taylor expansion of N in N 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [backup-simplify]: Simplify (+ 0 0) into 0 1.699 * [backup-simplify]: Simplify (- 0) into 0 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify (+ 1 0) into 1 1.699 * [backup-simplify]: Simplify (- 1) into -1 1.699 * [backup-simplify]: Simplify -1 into -1 1.699 * [backup-simplify]: Simplify (* 1 1) into 1 1.700 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.700 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.700 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.701 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.701 * [backup-simplify]: Simplify -1/2 into -1/2 1.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.702 * [backup-simplify]: Simplify (* 1 1) into 1 1.702 * [backup-simplify]: Simplify (* 1 1) into 1 1.703 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 1.703 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 1.704 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 1.704 * [backup-simplify]: Simplify (- 1/3) into -1/3 1.704 * [backup-simplify]: Simplify -1/3 into -1/3 1.705 * [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)))) 1.705 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.705 * [backup-simplify]: Simplify (/ -1/2 (* N N)) into (/ -1/2 (pow N 2)) 1.705 * [approximate]: Taking taylor expansion of (/ -1/2 (pow N 2)) in (N) around 0 1.705 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N 1.705 * [taylor]: Taking taylor expansion of -1/2 in N 1.705 * [backup-simplify]: Simplify -1/2 into -1/2 1.705 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.705 * [taylor]: Taking taylor expansion of N in N 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.705 * [backup-simplify]: Simplify (* 1 1) into 1 1.706 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.706 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N 1.706 * [taylor]: Taking taylor expansion of -1/2 in N 1.706 * [backup-simplify]: Simplify -1/2 into -1/2 1.706 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.706 * [taylor]: Taking taylor expansion of N in N 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 1 into 1 1.706 * [backup-simplify]: Simplify (* 1 1) into 1 1.707 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.707 * [backup-simplify]: Simplify -1/2 into -1/2 1.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.715 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.718 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.720 * [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 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2)) 1.721 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 N) (/ 1 N))) into (* -1/2 (pow N 2)) 1.721 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0 1.721 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 1.721 * [taylor]: Taking taylor expansion of -1/2 in N 1.721 * [backup-simplify]: Simplify -1/2 into -1/2 1.721 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.721 * [taylor]: Taking taylor expansion of N in N 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify 1 into 1 1.721 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 1.721 * [taylor]: Taking taylor expansion of -1/2 in N 1.721 * [backup-simplify]: Simplify -1/2 into -1/2 1.721 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.721 * [taylor]: Taking taylor expansion of N in N 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify 1 into 1 1.721 * [backup-simplify]: Simplify (* 1 1) into 1 1.722 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.722 * [backup-simplify]: Simplify -1/2 into -1/2 1.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.723 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0 1.723 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.725 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.725 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.728 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.728 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.730 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.731 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.731 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.733 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2)) 1.733 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1/2 (pow N 2)) 1.733 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0 1.733 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 1.733 * [taylor]: Taking taylor expansion of -1/2 in N 1.733 * [backup-simplify]: Simplify -1/2 into -1/2 1.733 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.733 * [taylor]: Taking taylor expansion of N in N 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify 1 into 1 1.733 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 1.733 * [taylor]: Taking taylor expansion of -1/2 in N 1.733 * [backup-simplify]: Simplify -1/2 into -1/2 1.733 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.733 * [taylor]: Taking taylor expansion of N in N 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify 1 into 1 1.734 * [backup-simplify]: Simplify (* 1 1) into 1 1.734 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.734 * [backup-simplify]: Simplify -1/2 into -1/2 1.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.735 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.736 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.736 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.738 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.738 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.740 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.740 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.743 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.743 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.747 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 (- N)) 2)) into (/ -1/2 (pow N 2)) 1.747 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.747 * [backup-simplify]: Simplify (/ 1/3 N) into (/ 1/3 N) 1.747 * [approximate]: Taking taylor expansion of (/ 1/3 N) in (N) around 0 1.747 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 1.747 * [taylor]: Taking taylor expansion of 1/3 in N 1.747 * [backup-simplify]: Simplify 1/3 into 1/3 1.747 * [taylor]: Taking taylor expansion of N in N 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 1.748 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 1.748 * [taylor]: Taking taylor expansion of 1/3 in N 1.748 * [backup-simplify]: Simplify 1/3 into 1/3 1.748 * [taylor]: Taking taylor expansion of N in N 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 1.748 * [backup-simplify]: Simplify 1/3 into 1/3 1.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 1.749 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.750 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.753 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.754 * [backup-simplify]: Simplify 0 into 0 1.755 * [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 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 1.755 * [backup-simplify]: Simplify (/ 1/3 (/ 1 N)) into (* 1/3 N) 1.755 * [approximate]: Taking taylor expansion of (* 1/3 N) in (N) around 0 1.755 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 1.755 * [taylor]: Taking taylor expansion of 1/3 in N 1.755 * [backup-simplify]: Simplify 1/3 into 1/3 1.755 * [taylor]: Taking taylor expansion of N in N 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 1 into 1 1.755 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 1.755 * [taylor]: Taking taylor expansion of 1/3 in N 1.755 * [backup-simplify]: Simplify 1/3 into 1/3 1.755 * [taylor]: Taking taylor expansion of N in N 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 1 into 1 1.756 * [backup-simplify]: Simplify (* 1/3 0) into 0 1.756 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1.757 * [backup-simplify]: Simplify 1/3 into 1/3 1.758 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 1.758 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.760 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.762 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.764 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 1.766 * [backup-simplify]: Simplify (/ 1/3 (/ 1 (- N))) into (* -1/3 N) 1.766 * [approximate]: Taking taylor expansion of (* -1/3 N) in (N) around 0 1.766 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 1.766 * [taylor]: Taking taylor expansion of -1/3 in N 1.766 * [backup-simplify]: Simplify -1/3 into -1/3 1.766 * [taylor]: Taking taylor expansion of N in N 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify 1 into 1 1.766 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 1.766 * [taylor]: Taking taylor expansion of -1/3 in N 1.766 * [backup-simplify]: Simplify -1/3 into -1/3 1.766 * [taylor]: Taking taylor expansion of N in N 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify 1 into 1 1.767 * [backup-simplify]: Simplify (* -1/3 0) into 0 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify (+ (* -1/3 1) (* 0 0)) into -1/3 1.767 * [backup-simplify]: Simplify -1/3 into -1/3 1.768 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 1) (* 0 0))) into 0 1.768 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.770 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.772 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.776 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify (* -1/3 (/ 1 (- N))) into (/ 1/3 N) 1.778 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.778 * [backup-simplify]: Simplify (/ (/ 1/3 N) (* N N)) into (/ 1/3 (pow N 3)) 1.778 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 3)) in (N) around 0 1.779 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 1.779 * [taylor]: Taking taylor expansion of 1/3 in N 1.779 * [backup-simplify]: Simplify 1/3 into 1/3 1.779 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.779 * [taylor]: Taking taylor expansion of N in N 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (* 1 1) into 1 1.780 * [backup-simplify]: Simplify (* 1 1) into 1 1.780 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 1.780 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 1.780 * [taylor]: Taking taylor expansion of 1/3 in N 1.780 * [backup-simplify]: Simplify 1/3 into 1/3 1.780 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.780 * [taylor]: Taking taylor expansion of N in N 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 1 into 1 1.781 * [backup-simplify]: Simplify (* 1 1) into 1 1.781 * [backup-simplify]: Simplify (* 1 1) into 1 1.781 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 1.781 * [backup-simplify]: Simplify 1/3 into 1/3 1.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 1.784 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.787 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.791 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify (+ (* 1 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 (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.798 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.802 * [backup-simplify]: Simplify 0 into 0 1.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.806 * [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 1.806 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 1.807 * [backup-simplify]: Simplify (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N))) into (* 1/3 (pow N 3)) 1.807 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 3)) in (N) around 0 1.807 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 1.807 * [taylor]: Taking taylor expansion of 1/3 in N 1.807 * [backup-simplify]: Simplify 1/3 into 1/3 1.807 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.807 * [taylor]: Taking taylor expansion of N in N 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify 1 into 1 1.807 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 1.807 * [taylor]: Taking taylor expansion of 1/3 in N 1.807 * [backup-simplify]: Simplify 1/3 into 1/3 1.807 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.807 * [taylor]: Taking taylor expansion of N in N 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify 1 into 1 1.808 * [backup-simplify]: Simplify (* 1 1) into 1 1.808 * [backup-simplify]: Simplify (* 1 1) into 1 1.808 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 1.808 * [backup-simplify]: Simplify 1/3 into 1/3 1.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.810 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1.810 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.813 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 1.813 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.816 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.816 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify (+ (* 1 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 1))))) into 0 1.819 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.819 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.823 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.823 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.827 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.827 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 1.828 * [backup-simplify]: Simplify (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1/3 (pow N 3)) 1.828 * [approximate]: Taking taylor expansion of (* -1/3 (pow N 3)) in (N) around 0 1.828 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 1.828 * [taylor]: Taking taylor expansion of -1/3 in N 1.828 * [backup-simplify]: Simplify -1/3 into -1/3 1.828 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.828 * [taylor]: Taking taylor expansion of N in N 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 1 into 1 1.828 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 1.828 * [taylor]: Taking taylor expansion of -1/3 in N 1.828 * [backup-simplify]: Simplify -1/3 into -1/3 1.828 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.828 * [taylor]: Taking taylor expansion of N in N 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 1 into 1 1.829 * [backup-simplify]: Simplify (* 1 1) into 1 1.829 * [backup-simplify]: Simplify (* 1 1) into 1 1.829 * [backup-simplify]: Simplify (* -1/3 1) into -1/3 1.829 * [backup-simplify]: Simplify -1/3 into -1/3 1.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.831 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 1)) into 0 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.833 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 1))) into 0 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.835 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.835 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.837 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.837 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.840 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.840 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.843 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (- N)) 3)) into (/ 1/3 (pow N 3)) 1.844 * * * [progress]: simplifying candidates 1.844 * * * * [progress]: [ 1 / 129 ] simplifiying candidate # 1.844 * * * * [progress]: [ 2 / 129 ] simplifiying candidate # 1.844 * * * * [progress]: [ 3 / 129 ] simplifiying candidate # 1.844 * * * * [progress]: [ 4 / 129 ] simplifiying candidate # 1.844 * * * * [progress]: [ 5 / 129 ] simplifiying candidate # 1.844 * * * * [progress]: [ 6 / 129 ] simplifiying candidate # 1.844 * * * * [progress]: [ 7 / 129 ] simplifiying candidate # 1.844 * * * * [progress]: [ 8 / 129 ] simplifiying candidate # 1.844 * * * * [progress]: [ 9 / 129 ] simplifiying candidate # 1.844 * * * * [progress]: [ 10 / 129 ] simplifiying candidate # 1.844 * * * * [progress]: [ 11 / 129 ] simplifiying candidate # 1.846 * * * * [progress]: [ 12 / 129 ] simplifiying candidate # 1.846 * * * * [progress]: [ 13 / 129 ] simplifiying candidate # 1.846 * * * * [progress]: [ 14 / 129 ] simplifiying candidate # 1.846 * * * * [progress]: [ 15 / 129 ] simplifiying candidate # 1.846 * * * * [progress]: [ 16 / 129 ] simplifiying candidate # 1.846 * * * * [progress]: [ 17 / 129 ] simplifiying candidate # 1.846 * * * * [progress]: [ 18 / 129 ] simplifiying candidate # 1.846 * * * * [progress]: [ 19 / 129 ] simplifiying candidate #real (real->posit16 (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))))))> 1.846 * * * * [progress]: [ 20 / 129 ] simplifiying candidate # 1.846 * * * * [progress]: [ 21 / 129 ] simplifiying candidate # 1.846 * * * * [progress]: [ 22 / 129 ] simplifiying candidate # 1.846 * * * * [progress]: [ 23 / 129 ] simplifiying candidate # 1.846 * * * * [progress]: [ 24 / 129 ] simplifiying candidate # 1.846 * * * * [progress]: [ 25 / 129 ] simplifiying candidate # 1.846 * * * * [progress]: [ 26 / 129 ] simplifiying candidate # 1.846 * * * * [progress]: [ 27 / 129 ] simplifiying candidate # 1.846 * * * * [progress]: [ 28 / 129 ] simplifiying candidate # 1.847 * * * * [progress]: [ 29 / 129 ] simplifiying candidate # 1.847 * * * * [progress]: [ 30 / 129 ] simplifiying candidate # 1.847 * * * * [progress]: [ 31 / 129 ] simplifiying candidate # 1.847 * * * * [progress]: [ 32 / 129 ] simplifiying candidate # 1.847 * * * * [progress]: [ 33 / 129 ] simplifiying candidate # 1.847 * * * * [progress]: [ 34 / 129 ] simplifiying candidate # 1.847 * * * * [progress]: [ 35 / 129 ] simplifiying candidate # 1.847 * * * * [progress]: [ 36 / 129 ] simplifiying candidate # 1.847 * * * * [progress]: [ 37 / 129 ] simplifiying candidate # 1.847 * * * * [progress]: [ 38 / 129 ] simplifiying candidate # 1.847 * * * * [progress]: [ 39 / 129 ] simplifiying candidate # 1.847 * * * * [progress]: [ 40 / 129 ] simplifiying candidate # 1.847 * * * * [progress]: [ 41 / 129 ] simplifiying candidate # 1.847 * * * * [progress]: [ 42 / 129 ] simplifiying candidate #real (real->posit16 (/ -1/2 (* N N)))) (/ 1 N)) (/ (/ 1/3 N) (* N N))))> 1.847 * * * * [progress]: [ 43 / 129 ] simplifiying candidate # 1.847 * * * * [progress]: [ 44 / 129 ] simplifiying candidate # 1.847 * * * * [progress]: [ 45 / 129 ] simplifiying candidate # 1.847 * * * * [progress]: [ 46 / 129 ] simplifiying candidate # 1.847 * * * * [progress]: [ 47 / 129 ] simplifiying candidate # 1.847 * * * * [progress]: [ 48 / 129 ] simplifiying candidate # 1.847 * * * * [progress]: [ 49 / 129 ] simplifiying candidate # 1.847 * * * * [progress]: [ 50 / 129 ] simplifiying candidate # 1.848 * * * * [progress]: [ 51 / 129 ] simplifiying candidate # 1.848 * * * * [progress]: [ 52 / 129 ] simplifiying candidate # 1.848 * * * * [progress]: [ 53 / 129 ] simplifiying candidate # 1.848 * * * * [progress]: [ 54 / 129 ] simplifiying candidate # 1.848 * * * * [progress]: [ 55 / 129 ] simplifiying candidate # 1.848 * * * * [progress]: [ 56 / 129 ] simplifiying candidate # 1.848 * * * * [progress]: [ 57 / 129 ] simplifiying candidate # 1.848 * * * * [progress]: [ 58 / 129 ] simplifiying candidate # 1.848 * * * * [progress]: [ 59 / 129 ] simplifiying candidate # 1.848 * * * * [progress]: [ 60 / 129 ] simplifiying candidate # 1.848 * * * * [progress]: [ 61 / 129 ] simplifiying candidate # 1.848 * * * * [progress]: [ 62 / 129 ] simplifiying candidate # 1.848 * * * * [progress]: [ 63 / 129 ] simplifiying candidate # 1.848 * * * * [progress]: [ 64 / 129 ] simplifiying candidate # 1.848 * * * * [progress]: [ 65 / 129 ] simplifiying candidate # 1.848 * * * * [progress]: [ 66 / 129 ] simplifiying candidate # 1.848 * * * * [progress]: [ 67 / 129 ] simplifiying candidate # 1.848 * * * * [progress]: [ 68 / 129 ] simplifiying candidate # 1.848 * * * * [progress]: [ 69 / 129 ] simplifiying candidate # 1.848 * * * * [progress]: [ 70 / 129 ] simplifiying candidate #real (real->posit16 (/ 1/3 N))) (* N N))))> 1.848 * * * * [progress]: [ 71 / 129 ] simplifiying candidate # 1.848 * * * * [progress]: [ 72 / 129 ] simplifiying candidate # 1.849 * * * * [progress]: [ 73 / 129 ] simplifiying candidate # 1.849 * * * * [progress]: [ 74 / 129 ] simplifiying candidate # 1.849 * * * * [progress]: [ 75 / 129 ] simplifiying candidate # 1.849 * * * * [progress]: [ 76 / 129 ] simplifiying candidate # 1.849 * * * * [progress]: [ 77 / 129 ] simplifiying candidate # 1.849 * * * * [progress]: [ 78 / 129 ] simplifiying candidate # 1.849 * * * * [progress]: [ 79 / 129 ] simplifiying candidate # 1.849 * * * * [progress]: [ 80 / 129 ] simplifiying candidate # 1.849 * * * * [progress]: [ 81 / 129 ] simplifiying candidate # 1.849 * * * * [progress]: [ 82 / 129 ] simplifiying candidate # 1.849 * * * * [progress]: [ 83 / 129 ] simplifiying candidate # 1.849 * * * * [progress]: [ 84 / 129 ] simplifiying candidate # 1.849 * * * * [progress]: [ 85 / 129 ] simplifiying candidate # 1.849 * * * * [progress]: [ 86 / 129 ] simplifiying candidate # 1.849 * * * * [progress]: [ 87 / 129 ] simplifiying candidate # 1.849 * * * * [progress]: [ 88 / 129 ] simplifiying candidate # 1.849 * * * * [progress]: [ 89 / 129 ] simplifiying candidate # 1.849 * * * * [progress]: [ 90 / 129 ] simplifiying candidate # 1.849 * * * * [progress]: [ 91 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 92 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 93 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 94 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 95 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 96 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 97 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 98 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 99 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 100 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 101 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 102 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 103 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 104 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 105 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 106 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 107 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 108 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 109 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 110 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 111 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 112 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 113 / 129 ] simplifiying candidate # 1.850 * * * * [progress]: [ 114 / 129 ] simplifiying candidate # 1.851 * * * * [progress]: [ 115 / 129 ] simplifiying candidate # 1.851 * * * * [progress]: [ 116 / 129 ] simplifiying candidate # 1.851 * * * * [progress]: [ 117 / 129 ] simplifiying candidate #real (real->posit16 (/ (/ 1/3 N) (* N N))))))> 1.851 * * * * [progress]: [ 118 / 129 ] simplifiying candidate # 1.851 * * * * [progress]: [ 119 / 129 ] simplifiying candidate # 1.851 * * * * [progress]: [ 120 / 129 ] simplifiying candidate # 1.851 * * * * [progress]: [ 121 / 129 ] simplifiying candidate # 1.851 * * * * [progress]: [ 122 / 129 ] simplifiying candidate # 1.851 * * * * [progress]: [ 123 / 129 ] simplifiying candidate # 1.851 * * * * [progress]: [ 124 / 129 ] simplifiying candidate # 1.851 * * * * [progress]: [ 125 / 129 ] simplifiying candidate # 1.851 * * * * [progress]: [ 126 / 129 ] simplifiying candidate # 1.851 * * * * [progress]: [ 127 / 129 ] simplifiying candidate # 1.851 * * * * [progress]: [ 128 / 129 ] simplifiying candidate # 1.851 * * * * [progress]: [ 129 / 129 ] simplifiying candidate # 1.852 * [simplify]: Simplifying: (* (* (exp (/ -1/2 (* N N))) (exp (/ 1 N))) (exp (/ (/ 1/3 N) (* N N)))) (* (exp (+ (/ -1/2 (* N N)) (/ 1 N))) (exp (/ (/ 1/3 N) (* N N)))) (log (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (exp (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (* (cbrt (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (cbrt (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))))) (cbrt (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (* (* (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (sqrt (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (sqrt (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (+ (* (+ (* -1/2 N) (* (* N N) 1)) (* N N)) (* (* (* N N) N) (/ 1/3 N))) (* (* (* N N) N) (* N N)) (+ (* (+ (pow (/ -1/2 (* N N)) 3) (pow (/ 1 N) 3)) (* N N)) (* (+ (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ 1 N)))) (/ 1/3 N))) (* (+ (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ 1 N)))) (* N N)) (+ (* (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ 1 N))) (* N N)) (* (- (/ -1/2 (* N N)) (/ 1 N)) (/ 1/3 N))) (* (- (/ -1/2 (* N N)) (/ 1 N)) (* N N)) (+ (pow (+ (/ -1/2 (* N N)) (/ 1 N)) 3) (pow (/ (/ 1/3 N) (* N N)) 3)) (+ (* (+ (/ -1/2 (* N N)) (/ 1 N)) (+ (/ -1/2 (* N N)) (/ 1 N))) (- (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (* (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))))) (- (* (+ (/ -1/2 (* N N)) (/ 1 N)) (+ (/ -1/2 (* N N)) (/ 1 N))) (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)))) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) (real->posit16 (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* 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 (/ 1/3 N)) (exp (/ 1/3 N)) (/ (* (* 1/3 1/3) 1/3) (* (* N N) N)) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) (- 1/3) (- N) (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) 1) (/ (cbrt 1/3) N) (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) 1) (/ (sqrt 1/3) N) (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) (/ 1 1) (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ 1/3 (* (cbrt N) (cbrt N))) (/ 1/3 (sqrt N)) (/ 1/3 1) (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (real->posit16 (/ 1/3 N)) (- (- (log 1/3) (log N)) (+ (log N) (log N))) (- (- (log 1/3) (log N)) (log (* N N))) (- (log (/ 1/3 N)) (+ (log N) (log N))) (- (log (/ 1/3 N)) (log (* 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 N) (/ 1/3 N)) (/ 1/3 N)) (* (* (* N N) N) (* (* N N) N))) (/ (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 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 N)) (cbrt (/ 1/3 N))) N) (/ (cbrt (/ 1/3 N)) N) (/ (sqrt (/ 1/3 N)) N) (/ (sqrt (/ 1/3 N)) N) (/ (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) N) (/ (/ (cbrt 1/3) (cbrt N)) N) (/ (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) N) (/ (/ (cbrt 1/3) (sqrt N)) N) (/ (/ (* (cbrt 1/3) (cbrt 1/3)) 1) N) (/ (/ (cbrt 1/3) N) N) (/ (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) N) (/ (/ (sqrt 1/3) (cbrt N)) N) (/ (/ (sqrt 1/3) (sqrt N)) N) (/ (/ (sqrt 1/3) (sqrt N)) N) (/ (/ (sqrt 1/3) 1) N) (/ (/ (sqrt 1/3) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) N) (/ (/ 1/3 (cbrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 1/3 (sqrt N)) N) (/ (/ 1 1) N) (/ (/ 1/3 N) N) (/ 1 N) (/ (/ 1/3 N) N) (/ 1/3 N) (/ (/ 1 N) N) (/ 1 (* N N)) (/ (* N N) (/ 1/3 N)) (/ (/ 1/3 N) N) (/ (* N N) (cbrt (/ 1/3 N))) (/ (* N N) (sqrt (/ 1/3 N))) (/ (* N N) (/ (cbrt 1/3) (cbrt N))) (/ (* N N) (/ (cbrt 1/3) (sqrt N))) (/ (* N N) (/ (cbrt 1/3) N)) (/ (* N N) (/ (sqrt 1/3) (cbrt N))) (/ (* N N) (/ (sqrt 1/3) (sqrt N))) (/ (* N N) (/ (sqrt 1/3) N)) (/ (* N N) (/ 1/3 (cbrt N))) (/ (* N N) (/ 1/3 (sqrt N))) (/ (* N N) (/ 1/3 N)) (/ (* N N) (/ 1/3 N)) (/ (* N N) (/ 1 N)) (* (* N N) N) (real->posit16 (/ (/ 1/3 N) (* N N))) (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (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)))) (/ -1/2 (pow N 2)) (/ -1/2 (pow N 2)) (/ -1/2 (pow N 2)) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) 1.854 * * [simplify]: iteration 0: 200 enodes 1.951 * * [simplify]: iteration 1: 535 enodes 2.290 * * [simplify]: iteration 2: 1848 enodes 2.637 * * [simplify]: iteration 3: 2002 enodes 3.035 * * [simplify]: iteration complete: 2002 enodes 3.035 * * [simplify]: Extracting #0: cost 108 inf + 0 3.037 * * [simplify]: Extracting #1: cost 433 inf + 4 3.043 * * [simplify]: Extracting #2: cost 598 inf + 11714 3.081 * * [simplify]: Extracting #3: cost 217 inf + 92951 3.113 * * [simplify]: Extracting #4: cost 26 inf + 143596 3.153 * * [simplify]: Extracting #5: cost 2 inf + 150674 3.194 * * [simplify]: Extracting #6: cost 0 inf + 151362 3.240 * [simplify]: Simplified to: (exp (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N))) (exp (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N))) (log (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N))) (exp (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N))) (* (cbrt (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N))) (cbrt (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N)))) (cbrt (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N))) (* (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N)) (* (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N)) (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N)))) (sqrt (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N))) (sqrt (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N))) (+ (* (+ (* -1/2 N) (* N N)) (* N N)) (* (* (* N N) N) (/ 1/3 N))) (* (* (* N N) (* N N)) N) (+ (* (+ (/ (/ 1/4 (* N N)) (* N N)) (- (* (/ 1 N) (/ 1 N)) (/ (/ (/ -1/2 N) N) N))) (/ 1/3 N)) (* (* N N) (+ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (/ -1/8 (* (* (* N N) (* N N)) (* N N)))))) (* (+ (* (/ 1 N) (- (/ 1 N) (/ (/ -1/2 N) N))) (/ (/ 1/4 (* N N)) (* N N))) (* N N)) (+ (* (/ 1/3 N) (- (/ (/ -1/2 N) N) (/ 1 N))) (* (* N N) (- (/ (/ 1/4 (* N N)) (* N N)) (* (/ 1 N) (/ 1 N))))) (* (* N N) (- (/ (/ -1/2 N) N) (/ 1 N))) (+ (* (* (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N)) (/ (/ (/ 1/3 N) N) N)) (* (* (+ (/ (/ -1/2 N) N) (/ 1 N)) (+ (/ (/ -1/2 N) N) (/ 1 N))) (+ (/ (/ -1/2 N) N) (/ 1 N)))) (+ (* (+ (/ (/ -1/2 N) N) (/ 1 N)) (+ (/ (/ -1/2 N) N) (/ 1 N))) (* (/ (/ (/ 1/3 N) N) N) (- (/ (/ (/ 1/3 N) N) N) (+ (/ (/ -1/2 N) N) (/ 1 N))))) (- (* (+ (/ (/ -1/2 N) N) (/ 1 N)) (+ (/ (/ -1/2 N) N) (/ 1 N))) (* (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N))) (+ (- (/ 1 N) (/ (/ (/ 1/3 N) N) N)) (/ (/ -1/2 N) N)) (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N)) (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N)) (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N)) (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (real->posit16 (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 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) (/ 1 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 N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) -1/3 (- N) (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (* (/ (cbrt 1/3) (sqrt N)) (cbrt 1/3)) (/ (cbrt 1/3) (sqrt N)) (* (cbrt 1/3) (cbrt 1/3)) (/ (cbrt 1/3) N) (/ (/ (sqrt 1/3) (cbrt N)) (cbrt N)) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (sqrt 1/3) (/ (sqrt 1/3) N) (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) 1 (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ 1/3 (* (cbrt N) (cbrt N))) (/ 1/3 (sqrt N)) 1/3 (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (real->posit16 (/ 1/3 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)) (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)) (* (* (/ (/ (/ 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)) (/ N (cbrt (/ 1/3 N)))) (/ (cbrt (/ 1/3 N)) N) (/ (sqrt (/ 1/3 N)) N) (/ (sqrt (/ 1/3 N)) N) (/ (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) N) (/ (/ (cbrt 1/3) N) (cbrt N)) (* (/ (cbrt 1/3) N) (/ (cbrt 1/3) (sqrt N))) (/ (/ (cbrt 1/3) N) (sqrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) N) (/ (cbrt 1/3) (* N N)) (/ (sqrt 1/3) (* (* N (cbrt N)) (cbrt N))) (/ (/ (sqrt 1/3) (cbrt N)) N) (/ (/ (sqrt 1/3) (sqrt N)) N) (/ (/ (sqrt 1/3) (sqrt N)) N) (/ (sqrt 1/3) N) (/ (sqrt 1/3) (* N N)) (/ 1 (* (* N (cbrt N)) (cbrt N))) (/ (/ 1/3 (cbrt N)) N) (/ 1 (* N (sqrt N))) (/ 1/3 (* N (sqrt N))) (/ 1 N) (/ (/ 1/3 N) N) (/ 1 N) (/ (/ 1/3 N) N) (/ 1/3 N) (* (/ 1 N) (/ 1 N)) (* (/ 1 N) (/ 1 N)) (/ N (/ (/ 1/3 N) N)) (/ (/ 1/3 N) N) (/ (* N N) (cbrt (/ 1/3 N))) (* (/ N (sqrt (/ 1/3 N))) N) (/ (* N N) (/ (cbrt 1/3) (cbrt N))) (/ N (/ (/ (cbrt 1/3) N) (sqrt N))) (/ (* (* N N) N) (cbrt 1/3)) (* (/ (* N N) (sqrt 1/3)) (cbrt N)) (/ (* N N) (/ (sqrt 1/3) (sqrt N))) (/ (* (* N N) N) (sqrt 1/3)) (* (/ (* N N) 1/3) (cbrt N)) (* (/ (* N N) 1/3) (sqrt N)) (/ N (/ (/ 1/3 N) N)) (/ N (/ (/ 1/3 N) N)) (* (* N N) N) (* (* N N) N) (real->posit16 (/ (/ (/ 1/3 N) N) N)) (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N)) (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N)) (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N)) (/ (/ -1/2 N) N) (/ (/ -1/2 N) N) (/ (/ -1/2 N) N) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N) 3.255 * * * [progress]: adding candidates to table 3.769 * * [progress]: iteration 3 / 4 3.769 * * * [progress]: picking best candidate 3.785 * * * * [pick]: Picked # 3.785 * * * [progress]: localizing error 3.803 * * * [progress]: generating rewritten candidates 3.803 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.811 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.842 * * * [progress]: generating series expansions 3.842 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.842 * [backup-simplify]: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 3.842 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 3.842 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.842 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.842 * [taylor]: Taking taylor expansion of (+ N 1) in N 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 * [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 3.843 * [backup-simplify]: Simplify (/ 1 1) into 1 3.843 * [backup-simplify]: Simplify (log 1) into 0 3.843 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.843 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.843 * [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 (log 1) into 0 3.844 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.844 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 3.845 * [backup-simplify]: Simplify (+ 1 0) into 1 3.845 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.846 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.846 * [backup-simplify]: Simplify 1 into 1 3.846 * [backup-simplify]: Simplify (+ 0 0) into 0 3.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.848 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.849 * [backup-simplify]: Simplify -1/2 into -1/2 3.849 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 3.849 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 3.849 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 3.849 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.849 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.849 * [taylor]: Taking taylor expansion of N in N 3.849 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify 1 into 1 3.849 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.849 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.849 * [taylor]: Taking taylor expansion of N in N 3.849 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify 1 into 1 3.849 * [backup-simplify]: Simplify (/ 1 1) into 1 3.850 * [taylor]: Taking taylor expansion of 1 in N 3.850 * [backup-simplify]: Simplify 1 into 1 3.850 * [backup-simplify]: Simplify (+ 1 0) into 1 3.850 * [backup-simplify]: Simplify (* 0 1) into 0 3.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.851 * [backup-simplify]: Simplify (+ 0 1) into 1 3.851 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.852 * [backup-simplify]: Simplify (log 1) into 0 3.852 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.852 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.852 * [taylor]: Taking taylor expansion of N in N 3.852 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify 1 into 1 3.852 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.852 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.852 * [taylor]: Taking taylor expansion of N in N 3.852 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify 1 into 1 3.852 * [backup-simplify]: Simplify (/ 1 1) into 1 3.852 * [taylor]: Taking taylor expansion of 1 in N 3.852 * [backup-simplify]: Simplify 1 into 1 3.853 * [backup-simplify]: Simplify (+ 1 0) into 1 3.853 * [backup-simplify]: Simplify (* 0 1) into 0 3.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.854 * [backup-simplify]: Simplify (+ 0 1) into 1 3.854 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.854 * [backup-simplify]: Simplify (log 1) into 0 3.854 * [backup-simplify]: Simplify 0 into 0 3.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.855 * [backup-simplify]: Simplify (+ 0 0) into 0 3.856 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.860 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.860 * [backup-simplify]: Simplify 1 into 1 3.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.862 * [backup-simplify]: Simplify (+ 0 0) into 0 3.862 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.864 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.864 * [backup-simplify]: Simplify -1/2 into -1/2 3.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 0) (+ (* 0 1) (* 0 1))))) into 0 3.868 * [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 3.869 * [backup-simplify]: Simplify 1/3 into 1/3 3.869 * [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)))) 3.869 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 3.869 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 3.869 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.869 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.869 * [taylor]: Taking taylor expansion of -1 in N 3.869 * [backup-simplify]: Simplify -1 into -1 3.869 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.869 * [taylor]: Taking taylor expansion of N in N 3.869 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify 1 into 1 3.869 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.869 * [taylor]: Taking taylor expansion of 1 in N 3.869 * [backup-simplify]: Simplify 1 into 1 3.869 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.869 * [taylor]: Taking taylor expansion of N in N 3.869 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify 1 into 1 3.870 * [backup-simplify]: Simplify (/ 1 1) into 1 3.870 * [backup-simplify]: Simplify (- 1) into -1 3.870 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.870 * [backup-simplify]: Simplify (* 0 -1) into 0 3.871 * [backup-simplify]: Simplify (* -1 0) into 0 3.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.871 * [backup-simplify]: Simplify (- 0) into 0 3.872 * [backup-simplify]: Simplify (+ 1 0) into 1 3.872 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.873 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.873 * [backup-simplify]: Simplify (log 1) into 0 3.873 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.873 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.873 * [taylor]: Taking taylor expansion of -1 in N 3.873 * [backup-simplify]: Simplify -1 into -1 3.873 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.873 * [taylor]: Taking taylor expansion of N in N 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify 1 into 1 3.873 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.873 * [taylor]: Taking taylor expansion of 1 in N 3.873 * [backup-simplify]: Simplify 1 into 1 3.873 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.873 * [taylor]: Taking taylor expansion of N in N 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify 1 into 1 3.873 * [backup-simplify]: Simplify (/ 1 1) into 1 3.874 * [backup-simplify]: Simplify (- 1) into -1 3.874 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.874 * [backup-simplify]: Simplify (* 0 -1) into 0 3.874 * [backup-simplify]: Simplify (* -1 0) into 0 3.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.875 * [backup-simplify]: Simplify (- 0) into 0 3.875 * [backup-simplify]: Simplify (+ 1 0) into 1 3.876 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.876 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.876 * [backup-simplify]: Simplify (log 1) into 0 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.878 * [backup-simplify]: Simplify (- 0) into 0 3.878 * [backup-simplify]: Simplify (+ 0 0) into 0 3.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.879 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.880 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.880 * [backup-simplify]: Simplify -1 into -1 3.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.881 * [backup-simplify]: Simplify (- 0) into 0 3.881 * [backup-simplify]: Simplify (+ 0 0) into 0 3.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.883 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.884 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.884 * [backup-simplify]: Simplify -1/2 into -1/2 3.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.885 * [backup-simplify]: Simplify (- 0) into 0 3.886 * [backup-simplify]: Simplify (+ 0 0) into 0 3.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.887 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.891 * [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 3.891 * [backup-simplify]: Simplify -1/3 into -1/3 3.892 * [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)))) 3.892 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.892 * [backup-simplify]: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 3.892 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 3.892 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.892 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.892 * [taylor]: Taking taylor expansion of N in N 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify 1 into 1 3.892 * [taylor]: Taking taylor expansion of 1 in N 3.892 * [backup-simplify]: Simplify 1 into 1 3.892 * [taylor]: Taking taylor expansion of N in N 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify 1 into 1 3.893 * [backup-simplify]: Simplify (+ 0 1) into 1 3.893 * [backup-simplify]: Simplify (/ 1 1) into 1 3.893 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.893 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.893 * [taylor]: Taking taylor expansion of N in N 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify 1 into 1 3.893 * [taylor]: Taking taylor expansion of 1 in N 3.893 * [backup-simplify]: Simplify 1 into 1 3.893 * [taylor]: Taking taylor expansion of N in N 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify 1 into 1 3.894 * [backup-simplify]: Simplify (+ 0 1) into 1 3.894 * [backup-simplify]: Simplify (/ 1 1) into 1 3.894 * [backup-simplify]: Simplify 1 into 1 3.895 * [backup-simplify]: Simplify (+ 1 0) into 1 3.895 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.896 * [backup-simplify]: Simplify 1 into 1 3.896 * [backup-simplify]: Simplify (+ 0 0) into 0 3.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.897 * [backup-simplify]: Simplify 0 into 0 3.897 * [backup-simplify]: Simplify (+ 0 0) into 0 3.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.898 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify (+ 0 0) into 0 3.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.900 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify (+ 0 0) into 0 3.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify (+ 0 0) into 0 3.902 * [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 3.902 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify (+ 0 0) into 0 3.904 * [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 3.904 * [backup-simplify]: Simplify 0 into 0 3.904 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 3.904 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 3.904 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 3.904 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.904 * [taylor]: Taking taylor expansion of N in N 3.904 * [backup-simplify]: Simplify 0 into 0 3.904 * [backup-simplify]: Simplify 1 into 1 3.904 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.904 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.904 * [taylor]: Taking taylor expansion of N in N 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 1 into 1 3.905 * [backup-simplify]: Simplify (/ 1 1) into 1 3.905 * [taylor]: Taking taylor expansion of 1 in N 3.905 * [backup-simplify]: Simplify 1 into 1 3.905 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.905 * [taylor]: Taking taylor expansion of N in N 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 1 into 1 3.905 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.905 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.905 * [taylor]: Taking taylor expansion of N in N 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 1 into 1 3.906 * [backup-simplify]: Simplify (/ 1 1) into 1 3.906 * [taylor]: Taking taylor expansion of 1 in N 3.906 * [backup-simplify]: Simplify 1 into 1 3.906 * [backup-simplify]: Simplify (+ 1 0) into 1 3.907 * [backup-simplify]: Simplify (* 0 1) into 0 3.907 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.908 * [backup-simplify]: Simplify (+ 0 1) into 1 3.909 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.909 * [backup-simplify]: Simplify 1 into 1 3.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.910 * [backup-simplify]: Simplify (+ 0 0) into 0 3.911 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.911 * [backup-simplify]: Simplify 1 into 1 3.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.912 * [backup-simplify]: Simplify (+ 0 0) into 0 3.913 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.913 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.914 * [backup-simplify]: Simplify (+ 0 0) into 0 3.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.915 * [backup-simplify]: Simplify 0 into 0 3.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.917 * [backup-simplify]: Simplify (+ 0 0) into 0 3.918 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 3.918 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.920 * [backup-simplify]: Simplify (+ 0 0) into 0 3.921 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 3.921 * [backup-simplify]: Simplify 0 into 0 3.922 * [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 3.923 * [backup-simplify]: Simplify (+ 0 0) into 0 3.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 3.924 * [backup-simplify]: Simplify 0 into 0 3.926 * [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 3.926 * [backup-simplify]: Simplify (+ 0 0) into 0 3.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 3.928 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 3.928 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 3.928 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.928 * [taylor]: Taking taylor expansion of -1 in N 3.928 * [backup-simplify]: Simplify -1 into -1 3.928 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.928 * [taylor]: Taking taylor expansion of N in N 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 1 into 1 3.929 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.929 * [taylor]: Taking taylor expansion of 1 in N 3.929 * [backup-simplify]: Simplify 1 into 1 3.929 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.929 * [taylor]: Taking taylor expansion of N in N 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 1 into 1 3.929 * [backup-simplify]: Simplify (/ 1 1) into 1 3.929 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.929 * [taylor]: Taking taylor expansion of -1 in N 3.929 * [backup-simplify]: Simplify -1 into -1 3.929 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.929 * [taylor]: Taking taylor expansion of N in N 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 1 into 1 3.929 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.929 * [taylor]: Taking taylor expansion of 1 in N 3.929 * [backup-simplify]: Simplify 1 into 1 3.929 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.929 * [taylor]: Taking taylor expansion of N in N 3.930 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify 1 into 1 3.930 * [backup-simplify]: Simplify (/ 1 1) into 1 3.930 * [backup-simplify]: Simplify (- 1) into -1 3.931 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.931 * [backup-simplify]: Simplify (* 0 -1) into 0 3.932 * [backup-simplify]: Simplify (* -1 0) into 0 3.932 * [backup-simplify]: Simplify 0 into 0 3.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.933 * [backup-simplify]: Simplify (- 0) into 0 3.933 * [backup-simplify]: Simplify (+ 1 0) into 1 3.934 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.935 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.935 * [backup-simplify]: Simplify 1 into 1 3.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.936 * [backup-simplify]: Simplify (- 0) into 0 3.936 * [backup-simplify]: Simplify (+ 0 0) into 0 3.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.939 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.939 * [backup-simplify]: Simplify -1 into -1 3.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.940 * [backup-simplify]: Simplify (- 0) into 0 3.941 * [backup-simplify]: Simplify (+ 0 0) into 0 3.942 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.943 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.943 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.945 * [backup-simplify]: Simplify (- 0) into 0 3.945 * [backup-simplify]: Simplify (+ 0 0) into 0 3.946 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.947 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.947 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.947 * [backup-simplify]: Simplify (- 0) into 0 3.948 * [backup-simplify]: Simplify (+ 0 0) into 0 3.949 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 3.949 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 3.949 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.950 * [backup-simplify]: Simplify (- 0) into 0 3.951 * [backup-simplify]: Simplify (+ 0 0) into 0 3.952 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 3.953 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [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 3.954 * [backup-simplify]: Simplify (- 0) into 0 3.954 * [backup-simplify]: Simplify (+ 0 0) into 0 3.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 3.956 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 3.956 * [backup-simplify]: Simplify 0 into 0 3.957 * [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 3.957 * [backup-simplify]: Simplify (- 0) into 0 3.957 * [backup-simplify]: Simplify (+ 0 0) into 0 3.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 3.960 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 3.960 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 3.960 * * * [progress]: simplifying candidates 3.960 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 3.960 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 3.960 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 3.960 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 3.960 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 3.960 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 3.960 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 3.960 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 3.960 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 3.960 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 3.960 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 3.960 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 3.960 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 3.960 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 3.960 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 3.960 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ N 1) N)))))> 3.961 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 3.961 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ N 1) N)))))> 3.962 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 3.962 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 3.963 * [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) 3.964 * * [simplify]: iteration 0: 102 enodes 4.005 * * [simplify]: iteration 1: 233 enodes 4.076 * * [simplify]: iteration 2: 620 enodes 4.269 * * [simplify]: iteration 3: 2000 enodes 4.699 * * [simplify]: iteration complete: 2000 enodes 4.699 * * [simplify]: Extracting #0: cost 66 inf + 0 4.700 * * [simplify]: Extracting #1: cost 319 inf + 2 4.704 * * [simplify]: Extracting #2: cost 729 inf + 490 4.716 * * [simplify]: Extracting #3: cost 517 inf + 38625 4.748 * * [simplify]: Extracting #4: cost 94 inf + 114118 4.792 * * [simplify]: Extracting #5: cost 8 inf + 130573 4.816 * * [simplify]: Extracting #6: cost 0 inf + 132597 4.836 * [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)) (+ (- N) -1) (- 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)) (* N (+ (- 1 N) (* N N))) (* (+ -1 N) N) (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)) 4.839 * * * [progress]: adding candidates to table 5.050 * * [progress]: iteration 4 / 4 5.050 * * * [progress]: picking best candidate 5.070 * * * * [pick]: Picked # 5.070 * * * [progress]: localizing error 5.091 * * * [progress]: generating rewritten candidates 5.091 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 5.122 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 5.143 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 5.148 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 5.156 * * * [progress]: generating series expansions 5.156 * * * * [progress]: [ 1 / 4 ] generating series at (2) 5.156 * [backup-simplify]: Simplify (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N)))) into (+ (log (* (+ N 1) (sqrt (/ 1 N)))) (log (sqrt (/ 1 N)))) 5.156 * [approximate]: Taking taylor expansion of (+ (log (* (+ N 1) (sqrt (/ 1 N)))) (log (sqrt (/ 1 N)))) in (N) around 0 5.156 * [taylor]: Taking taylor expansion of (+ (log (* (+ N 1) (sqrt (/ 1 N)))) (log (sqrt (/ 1 N)))) in N 5.156 * [taylor]: Taking taylor expansion of (log (* (+ N 1) (sqrt (/ 1 N)))) in N 5.156 * [taylor]: Taking taylor expansion of (* (+ N 1) (sqrt (/ 1 N))) in N 5.156 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.156 * [taylor]: Taking taylor expansion of N in N 5.156 * [backup-simplify]: Simplify 0 into 0 5.156 * [backup-simplify]: Simplify 1 into 1 5.156 * [taylor]: Taking taylor expansion of 1 in N 5.156 * [backup-simplify]: Simplify 1 into 1 5.156 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.156 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.156 * [taylor]: Taking taylor expansion of N in N 5.156 * [backup-simplify]: Simplify 0 into 0 5.156 * [backup-simplify]: Simplify 1 into 1 5.157 * [backup-simplify]: Simplify (/ 1 1) into 1 5.157 * [backup-simplify]: Simplify (sqrt 0) into 0 5.158 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.159 * [backup-simplify]: Simplify (+ 0 1) into 1 5.159 * [backup-simplify]: Simplify (* 1 0) into 0 5.159 * [backup-simplify]: Simplify (+ 1 0) into 1 5.160 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 1 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 (/ 1 N))) in N 5.161 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.161 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 5.162 * [backup-simplify]: Simplify (sqrt 0) into 0 5.163 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.163 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.163 * [taylor]: Taking taylor expansion of (+ (log (* (+ N 1) (sqrt (/ 1 N)))) (log (sqrt (/ 1 N)))) in N 5.163 * [taylor]: Taking taylor expansion of (log (* (+ N 1) (sqrt (/ 1 N)))) in N 5.163 * [taylor]: Taking taylor expansion of (* (+ N 1) (sqrt (/ 1 N))) in N 5.163 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.163 * [taylor]: Taking taylor expansion of N in N 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify 1 into 1 5.164 * [taylor]: Taking taylor expansion of 1 in N 5.164 * [backup-simplify]: Simplify 1 into 1 5.164 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.164 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.164 * [taylor]: Taking taylor expansion of N in N 5.164 * [backup-simplify]: Simplify 0 into 0 5.164 * [backup-simplify]: Simplify 1 into 1 5.164 * [backup-simplify]: Simplify (/ 1 1) into 1 5.164 * [backup-simplify]: Simplify (sqrt 0) into 0 5.166 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.166 * [backup-simplify]: Simplify (+ 0 1) into 1 5.166 * [backup-simplify]: Simplify (* 1 0) into 0 5.167 * [backup-simplify]: Simplify (+ 1 0) into 1 5.168 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 1 0)) into (- +nan.0) 5.169 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.169 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 5.169 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.169 * [taylor]: Taking taylor expansion of N in N 5.169 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify 1 into 1 5.170 * [backup-simplify]: Simplify (/ 1 1) into 1 5.170 * [backup-simplify]: Simplify (sqrt 0) into 0 5.171 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.172 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.174 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (log +nan.0)) into (+ (log (- +nan.0)) (log +nan.0)) 5.175 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (log +nan.0)) into (+ (log (- +nan.0)) (log +nan.0)) 5.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.179 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.179 * [backup-simplify]: Simplify (+ 0 0) into 0 5.182 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 5.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.193 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.200 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.201 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.206 * [backup-simplify]: Simplify (+ 0 0) into 0 5.210 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.232 * [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 5.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.237 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.250 * [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 5.251 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.251 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.254 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (+ (log (- +nan.0)) (log +nan.0)))) into (- (+ (log (- +nan.0)) (log +nan.0)) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 5.254 * [backup-simplify]: Simplify (+ (log (/ 1 (sqrt (/ 1 N)))) (log (/ (+ (/ 1 N) 1) (sqrt (/ 1 N))))) into (+ (log (sqrt N)) (log (* (sqrt N) (+ (/ 1 N) 1)))) 5.254 * [approximate]: Taking taylor expansion of (+ (log (sqrt N)) (log (* (sqrt N) (+ (/ 1 N) 1)))) in (N) around 0 5.254 * [taylor]: Taking taylor expansion of (+ (log (sqrt N)) (log (* (sqrt N) (+ (/ 1 N) 1)))) in N 5.254 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 5.254 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.254 * [taylor]: Taking taylor expansion of N in N 5.254 * [backup-simplify]: Simplify 0 into 0 5.254 * [backup-simplify]: Simplify 1 into 1 5.254 * [backup-simplify]: Simplify (sqrt 0) into 0 5.256 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.256 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.257 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1))) in N 5.257 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1)) in N 5.257 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.257 * [taylor]: Taking taylor expansion of N in N 5.257 * [backup-simplify]: Simplify 0 into 0 5.257 * [backup-simplify]: Simplify 1 into 1 5.257 * [backup-simplify]: Simplify (sqrt 0) into 0 5.258 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.258 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.258 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.258 * [taylor]: Taking taylor expansion of N in N 5.258 * [backup-simplify]: Simplify 0 into 0 5.258 * [backup-simplify]: Simplify 1 into 1 5.259 * [backup-simplify]: Simplify (/ 1 1) into 1 5.259 * [taylor]: Taking taylor expansion of 1 in N 5.259 * [backup-simplify]: Simplify 1 into 1 5.259 * [backup-simplify]: Simplify (+ 1 0) into 1 5.260 * [backup-simplify]: Simplify (* 0 1) into 0 5.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.261 * [backup-simplify]: Simplify (+ 0 1) into 1 5.262 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1)) into (- +nan.0) 5.263 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.263 * [taylor]: Taking taylor expansion of (+ (log (sqrt N)) (log (* (sqrt N) (+ (/ 1 N) 1)))) in N 5.263 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 5.263 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.263 * [taylor]: Taking taylor expansion of N in N 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 1 into 1 5.264 * [backup-simplify]: Simplify (sqrt 0) into 0 5.265 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.265 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.265 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1))) in N 5.265 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1)) in N 5.265 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.265 * [taylor]: Taking taylor expansion of N in N 5.265 * [backup-simplify]: Simplify 0 into 0 5.265 * [backup-simplify]: Simplify 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 (+ (/ 1 N) 1) in N 5.267 * [taylor]: Taking taylor expansion of (/ 1 N) 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 5.268 * [backup-simplify]: Simplify (/ 1 1) into 1 5.268 * [taylor]: Taking taylor expansion of 1 in N 5.268 * [backup-simplify]: Simplify 1 into 1 5.268 * [backup-simplify]: Simplify (+ 1 0) into 1 5.269 * [backup-simplify]: Simplify (* 0 1) into 0 5.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.270 * [backup-simplify]: Simplify (+ 0 1) into 1 5.271 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1)) into (- +nan.0) 5.272 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.273 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 5.274 * [backup-simplify]: Simplify (+ (+ (log N) (log +nan.0)) (log (- +nan.0))) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 5.275 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 5.278 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.284 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.286 * [backup-simplify]: Simplify (+ 0 0) into 0 5.288 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1))) into (- +nan.0) 5.299 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 5.299 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.299 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.318 * [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 5.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.319 * [backup-simplify]: Simplify (+ 0 0) into 0 5.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.327 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1)))) into (- +nan.0) 5.339 * [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 5.340 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.340 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.341 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log (/ 1 N)) (log +nan.0))))) into (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.341 * [backup-simplify]: Simplify (+ (log (/ 1 (sqrt (/ 1 (- N))))) (log (/ (+ (/ 1 (- N)) 1) (sqrt (/ 1 (- N)))))) into (+ (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) (log (/ 1 (sqrt (/ -1 N))))) 5.341 * [approximate]: Taking taylor expansion of (+ (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) (log (/ 1 (sqrt (/ -1 N))))) in (N) around 0 5.341 * [taylor]: Taking taylor expansion of (+ (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) (log (/ 1 (sqrt (/ -1 N))))) in N 5.341 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) in N 5.341 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) in N 5.341 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.342 * [taylor]: Taking taylor expansion of 1 in N 5.342 * [backup-simplify]: Simplify 1 into 1 5.342 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.342 * [taylor]: Taking taylor expansion of N in N 5.342 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify 1 into 1 5.342 * [backup-simplify]: Simplify (/ 1 1) into 1 5.342 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.342 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.342 * [taylor]: Taking taylor expansion of -1 in N 5.342 * [backup-simplify]: Simplify -1 into -1 5.342 * [taylor]: Taking taylor expansion of N in N 5.342 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify 1 into 1 5.342 * [backup-simplify]: Simplify (/ -1 1) into -1 5.343 * [backup-simplify]: Simplify (sqrt 0) into 0 5.345 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.345 * [backup-simplify]: Simplify (- 1) into -1 5.345 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.346 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 5.346 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.346 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 5.346 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 5.346 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.346 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.346 * [taylor]: Taking taylor expansion of -1 in N 5.346 * [backup-simplify]: Simplify -1 into -1 5.346 * [taylor]: Taking taylor expansion of N in N 5.346 * [backup-simplify]: Simplify 0 into 0 5.346 * [backup-simplify]: Simplify 1 into 1 5.346 * [backup-simplify]: Simplify (/ -1 1) into -1 5.346 * [backup-simplify]: Simplify (sqrt 0) into 0 5.347 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.348 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.348 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.348 * [taylor]: Taking taylor expansion of (+ (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) (log (/ 1 (sqrt (/ -1 N))))) in N 5.348 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) in N 5.348 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) in N 5.348 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.348 * [taylor]: Taking taylor expansion of 1 in N 5.348 * [backup-simplify]: Simplify 1 into 1 5.348 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.348 * [taylor]: Taking taylor expansion of N in N 5.348 * [backup-simplify]: Simplify 0 into 0 5.348 * [backup-simplify]: Simplify 1 into 1 5.348 * [backup-simplify]: Simplify (/ 1 1) into 1 5.348 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.348 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.348 * [taylor]: Taking taylor expansion of -1 in N 5.348 * [backup-simplify]: Simplify -1 into -1 5.348 * [taylor]: Taking taylor expansion of N in N 5.348 * [backup-simplify]: Simplify 0 into 0 5.348 * [backup-simplify]: Simplify 1 into 1 5.349 * [backup-simplify]: Simplify (/ -1 1) into -1 5.349 * [backup-simplify]: Simplify (sqrt 0) into 0 5.350 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.350 * [backup-simplify]: Simplify (- 1) into -1 5.350 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.350 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 5.351 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.351 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 5.351 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 5.351 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.351 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.351 * [taylor]: Taking taylor expansion of -1 in N 5.351 * [backup-simplify]: Simplify -1 into -1 5.351 * [taylor]: Taking taylor expansion of N in N 5.351 * [backup-simplify]: Simplify 0 into 0 5.351 * [backup-simplify]: Simplify 1 into 1 5.351 * [backup-simplify]: Simplify (/ -1 1) into -1 5.351 * [backup-simplify]: Simplify (sqrt 0) into 0 5.352 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.352 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.353 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.353 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 5.354 * [backup-simplify]: Simplify (+ (- (log +nan.0) (log N)) (log +nan.0)) into (- (* 2 (log +nan.0)) (log N)) 5.354 * [backup-simplify]: Simplify (- (* 2 (log +nan.0)) (log N)) into (- (* 2 (log +nan.0)) (log N)) 5.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.355 * [backup-simplify]: Simplify (- 0) into 0 5.355 * [backup-simplify]: Simplify (+ 1 0) into 1 5.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.358 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.359 * [backup-simplify]: Simplify (- (/ 1 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.365 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.370 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.372 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.380 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.380 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.381 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.382 * [backup-simplify]: Simplify (- 0) into 0 5.382 * [backup-simplify]: Simplify (+ 0 0) into 0 5.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.392 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 5.409 * [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 5.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.415 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.418 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 5.436 * [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 5.437 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.437 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.438 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- (* 2 (log +nan.0)) (log (/ 1 (- N)))))) into (- (* 2 (log +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log (/ -1 N)) (* +nan.0 (/ 1 N))))) 5.438 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 5.439 * [backup-simplify]: Simplify (/ (+ N 1) (sqrt N)) into (* (+ N 1) (sqrt (/ 1 N))) 5.439 * [approximate]: Taking taylor expansion of (* (+ N 1) (sqrt (/ 1 N))) in (N) around 0 5.439 * [taylor]: Taking taylor expansion of (* (+ N 1) (sqrt (/ 1 N))) in N 5.439 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.439 * [taylor]: Taking taylor expansion of N in N 5.439 * [backup-simplify]: Simplify 0 into 0 5.439 * [backup-simplify]: Simplify 1 into 1 5.439 * [taylor]: Taking taylor expansion of 1 in N 5.439 * [backup-simplify]: Simplify 1 into 1 5.439 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.439 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.439 * [taylor]: Taking taylor expansion of N in N 5.439 * [backup-simplify]: Simplify 0 into 0 5.439 * [backup-simplify]: Simplify 1 into 1 5.439 * [backup-simplify]: Simplify (/ 1 1) into 1 5.439 * [backup-simplify]: Simplify (sqrt 0) into 0 5.440 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.440 * [taylor]: Taking taylor expansion of (* (+ N 1) (sqrt (/ 1 N))) in N 5.440 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.440 * [taylor]: Taking taylor expansion of N in N 5.440 * [backup-simplify]: Simplify 0 into 0 5.440 * [backup-simplify]: Simplify 1 into 1 5.440 * [taylor]: Taking taylor expansion of 1 in N 5.440 * [backup-simplify]: Simplify 1 into 1 5.440 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.440 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.440 * [taylor]: Taking taylor expansion of N in N 5.440 * [backup-simplify]: Simplify 0 into 0 5.440 * [backup-simplify]: Simplify 1 into 1 5.441 * [backup-simplify]: Simplify (/ 1 1) into 1 5.441 * [backup-simplify]: Simplify (sqrt 0) into 0 5.442 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.442 * [backup-simplify]: Simplify (+ 0 1) into 1 5.442 * [backup-simplify]: Simplify (* 1 0) into 0 5.442 * [backup-simplify]: Simplify 0 into 0 5.443 * [backup-simplify]: Simplify (+ 1 0) into 1 5.443 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 1 0)) into (- +nan.0) 5.444 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.446 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.446 * [backup-simplify]: Simplify (+ 0 0) into 0 5.448 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.448 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.451 * [backup-simplify]: Simplify (+ 0 0) into 0 5.453 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.454 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.454 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- +nan.0))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 5.454 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1) (sqrt (/ 1 N))) into (* (sqrt N) (+ (/ 1 N) 1)) 5.454 * [approximate]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1)) in (N) around 0 5.454 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1)) in N 5.454 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.455 * [taylor]: Taking taylor expansion of N in N 5.455 * [backup-simplify]: Simplify 0 into 0 5.455 * [backup-simplify]: Simplify 1 into 1 5.455 * [backup-simplify]: Simplify (sqrt 0) into 0 5.456 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.456 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.456 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.456 * [taylor]: Taking taylor expansion of N in N 5.456 * [backup-simplify]: Simplify 0 into 0 5.456 * [backup-simplify]: Simplify 1 into 1 5.456 * [backup-simplify]: Simplify (/ 1 1) into 1 5.456 * [taylor]: Taking taylor expansion of 1 in N 5.456 * [backup-simplify]: Simplify 1 into 1 5.456 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1)) in N 5.456 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.456 * [taylor]: Taking taylor expansion of N in N 5.456 * [backup-simplify]: Simplify 0 into 0 5.456 * [backup-simplify]: Simplify 1 into 1 5.456 * [backup-simplify]: Simplify (sqrt 0) into 0 5.457 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.457 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.457 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.457 * [taylor]: Taking taylor expansion of N in N 5.457 * [backup-simplify]: Simplify 0 into 0 5.457 * [backup-simplify]: Simplify 1 into 1 5.457 * [backup-simplify]: Simplify (/ 1 1) into 1 5.457 * [taylor]: Taking taylor expansion of 1 in N 5.457 * [backup-simplify]: Simplify 1 into 1 5.458 * [backup-simplify]: Simplify (+ 1 0) into 1 5.458 * [backup-simplify]: Simplify (* 0 1) into 0 5.458 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.459 * [backup-simplify]: Simplify (+ 0 1) into 1 5.461 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1)) into (- +nan.0) 5.462 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.462 * [backup-simplify]: Simplify (+ 0 0) into 0 5.464 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.466 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1))) into (- +nan.0) 5.466 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.467 * [backup-simplify]: Simplify (+ 0 0) into 0 5.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.473 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1)))) into (- +nan.0) 5.473 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.475 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 5.475 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1) (sqrt (/ 1 (- N)))) into (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) 5.475 * [approximate]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) in (N) around 0 5.475 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) in N 5.475 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.475 * [taylor]: Taking taylor expansion of 1 in N 5.475 * [backup-simplify]: Simplify 1 into 1 5.475 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.475 * [taylor]: Taking taylor expansion of N in N 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify 1 into 1 5.476 * [backup-simplify]: Simplify (/ 1 1) into 1 5.476 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.476 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.476 * [taylor]: Taking taylor expansion of -1 in N 5.476 * [backup-simplify]: Simplify -1 into -1 5.476 * [taylor]: Taking taylor expansion of N in N 5.476 * [backup-simplify]: Simplify 0 into 0 5.476 * [backup-simplify]: Simplify 1 into 1 5.476 * [backup-simplify]: Simplify (/ -1 1) into -1 5.477 * [backup-simplify]: Simplify (sqrt 0) into 0 5.478 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.478 * [backup-simplify]: Simplify (- 1) into -1 5.479 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.479 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 5.479 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) in N 5.479 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.479 * [taylor]: Taking taylor expansion of 1 in N 5.480 * [backup-simplify]: Simplify 1 into 1 5.480 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.480 * [taylor]: Taking taylor expansion of N in N 5.480 * [backup-simplify]: Simplify 0 into 0 5.480 * [backup-simplify]: Simplify 1 into 1 5.480 * [backup-simplify]: Simplify (/ 1 1) into 1 5.480 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.480 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.480 * [taylor]: Taking taylor expansion of -1 in N 5.480 * [backup-simplify]: Simplify -1 into -1 5.480 * [taylor]: Taking taylor expansion of N in N 5.480 * [backup-simplify]: Simplify 0 into 0 5.480 * [backup-simplify]: Simplify 1 into 1 5.481 * [backup-simplify]: Simplify (/ -1 1) into -1 5.481 * [backup-simplify]: Simplify (sqrt 0) into 0 5.482 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.483 * [backup-simplify]: Simplify (- 1) into -1 5.483 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.484 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 5.484 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.485 * [backup-simplify]: Simplify (- 0) into 0 5.485 * [backup-simplify]: Simplify (+ 1 0) into 1 5.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.490 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.492 * [backup-simplify]: Simplify (- (/ 1 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.493 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.494 * [backup-simplify]: Simplify (- 0) into 0 5.495 * [backup-simplify]: Simplify (+ 0 0) into 0 5.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.500 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.503 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 5.503 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.504 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- N))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- N)))))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) 5.504 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 5.504 * [backup-simplify]: Simplify (/ 1 (sqrt N)) into (sqrt (/ 1 N)) 5.504 * [approximate]: Taking taylor expansion of (sqrt (/ 1 N)) in (N) around 0 5.504 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.504 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.504 * [taylor]: Taking taylor expansion of N in N 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [backup-simplify]: Simplify 1 into 1 5.504 * [backup-simplify]: Simplify (/ 1 1) into 1 5.504 * [backup-simplify]: Simplify (sqrt 0) into 0 5.505 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.505 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.505 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.505 * [taylor]: Taking taylor expansion of N in N 5.505 * [backup-simplify]: Simplify 0 into 0 5.505 * [backup-simplify]: Simplify 1 into 1 5.506 * [backup-simplify]: Simplify (/ 1 1) into 1 5.506 * [backup-simplify]: Simplify (sqrt 0) into 0 5.507 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.509 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.509 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.512 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.512 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.512 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 5.512 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 N))) into (sqrt N) 5.512 * [approximate]: Taking taylor expansion of (sqrt N) in (N) around 0 5.512 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.512 * [taylor]: Taking taylor expansion of N in N 5.512 * [backup-simplify]: Simplify 0 into 0 5.512 * [backup-simplify]: Simplify 1 into 1 5.512 * [backup-simplify]: Simplify (sqrt 0) into 0 5.513 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.513 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.513 * [taylor]: Taking taylor expansion of N in N 5.513 * [backup-simplify]: Simplify 0 into 0 5.513 * [backup-simplify]: Simplify 1 into 1 5.514 * [backup-simplify]: Simplify (sqrt 0) into 0 5.514 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.514 * [backup-simplify]: Simplify 0 into 0 5.514 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.516 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.516 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.519 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.519 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 3)) (+ (* +nan.0 (pow (/ 1 N) 2)) (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 5.519 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- N)))) into (/ 1 (sqrt (/ -1 N))) 5.519 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in (N) around 0 5.519 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 5.519 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.519 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.519 * [taylor]: Taking taylor expansion of -1 in N 5.519 * [backup-simplify]: Simplify -1 into -1 5.519 * [taylor]: Taking taylor expansion of N in N 5.519 * [backup-simplify]: Simplify 0 into 0 5.519 * [backup-simplify]: Simplify 1 into 1 5.519 * [backup-simplify]: Simplify (/ -1 1) into -1 5.520 * [backup-simplify]: Simplify (sqrt 0) into 0 5.520 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.521 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.521 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 5.521 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.521 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.521 * [taylor]: Taking taylor expansion of -1 in N 5.521 * [backup-simplify]: Simplify -1 into -1 5.521 * [taylor]: Taking taylor expansion of N in N 5.521 * [backup-simplify]: Simplify 0 into 0 5.521 * [backup-simplify]: Simplify 1 into 1 5.521 * [backup-simplify]: Simplify (/ -1 1) into -1 5.521 * [backup-simplify]: Simplify (sqrt 0) into 0 5.522 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.522 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.522 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.525 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.526 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.526 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.533 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 5.534 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.535 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 5.535 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 5.535 * [backup-simplify]: Simplify (log (/ (+ N 1) (sqrt N))) into (log (* (+ N 1) (sqrt (/ 1 N)))) 5.535 * [approximate]: Taking taylor expansion of (log (* (+ N 1) (sqrt (/ 1 N)))) in (N) around 0 5.535 * [taylor]: Taking taylor expansion of (log (* (+ N 1) (sqrt (/ 1 N)))) in N 5.535 * [taylor]: Taking taylor expansion of (* (+ N 1) (sqrt (/ 1 N))) in N 5.535 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.535 * [taylor]: Taking taylor expansion of N in N 5.535 * [backup-simplify]: Simplify 0 into 0 5.535 * [backup-simplify]: Simplify 1 into 1 5.535 * [taylor]: Taking taylor expansion of 1 in N 5.535 * [backup-simplify]: Simplify 1 into 1 5.535 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.535 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.535 * [taylor]: Taking taylor expansion of N in N 5.535 * [backup-simplify]: Simplify 0 into 0 5.535 * [backup-simplify]: Simplify 1 into 1 5.536 * [backup-simplify]: Simplify (/ 1 1) into 1 5.536 * [backup-simplify]: Simplify (sqrt 0) into 0 5.538 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.538 * [backup-simplify]: Simplify (+ 0 1) into 1 5.538 * [backup-simplify]: Simplify (* 1 0) into 0 5.539 * [backup-simplify]: Simplify (+ 1 0) into 1 5.540 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 1 0)) into (- +nan.0) 5.541 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.541 * [taylor]: Taking taylor expansion of (log (* (+ N 1) (sqrt (/ 1 N)))) in N 5.541 * [taylor]: Taking taylor expansion of (* (+ N 1) (sqrt (/ 1 N))) in N 5.541 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.541 * [taylor]: Taking taylor expansion of N in N 5.541 * [backup-simplify]: Simplify 0 into 0 5.541 * [backup-simplify]: Simplify 1 into 1 5.541 * [taylor]: Taking taylor expansion of 1 in N 5.541 * [backup-simplify]: Simplify 1 into 1 5.541 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.541 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.542 * [taylor]: Taking taylor expansion of N in N 5.542 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify 1 into 1 5.542 * [backup-simplify]: Simplify (/ 1 1) into 1 5.542 * [backup-simplify]: Simplify (sqrt 0) into 0 5.544 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.544 * [backup-simplify]: Simplify (+ 0 1) into 1 5.545 * [backup-simplify]: Simplify (* 1 0) into 0 5.545 * [backup-simplify]: Simplify (+ 1 0) into 1 5.547 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 1 0)) into (- +nan.0) 5.548 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.549 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.552 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.553 * [backup-simplify]: Simplify (+ 0 0) into 0 5.556 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.564 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 5.564 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.569 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.569 * [backup-simplify]: Simplify (+ 0 0) into 0 5.573 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.593 * [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 5.593 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.594 * [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))))) 5.595 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (sqrt (/ 1 N)))) into (log (* (sqrt N) (+ (/ 1 N) 1))) 5.595 * [approximate]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1))) in (N) around 0 5.595 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1))) in N 5.595 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1)) in N 5.595 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.595 * [taylor]: Taking taylor expansion of N in N 5.595 * [backup-simplify]: Simplify 0 into 0 5.595 * [backup-simplify]: Simplify 1 into 1 5.595 * [backup-simplify]: Simplify (sqrt 0) into 0 5.597 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.597 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.597 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.597 * [taylor]: Taking taylor expansion of N in N 5.597 * [backup-simplify]: Simplify 0 into 0 5.597 * [backup-simplify]: Simplify 1 into 1 5.597 * [backup-simplify]: Simplify (/ 1 1) into 1 5.597 * [taylor]: Taking taylor expansion of 1 in N 5.597 * [backup-simplify]: Simplify 1 into 1 5.598 * [backup-simplify]: Simplify (+ 1 0) into 1 5.598 * [backup-simplify]: Simplify (* 0 1) into 0 5.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.599 * [backup-simplify]: Simplify (+ 0 1) into 1 5.601 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1)) into (- +nan.0) 5.602 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.602 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1))) in N 5.602 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1)) in N 5.602 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.602 * [taylor]: Taking taylor expansion of N in N 5.602 * [backup-simplify]: Simplify 0 into 0 5.602 * [backup-simplify]: Simplify 1 into 1 5.602 * [backup-simplify]: Simplify (sqrt 0) into 0 5.604 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.604 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.604 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.604 * [taylor]: Taking taylor expansion of N in N 5.604 * [backup-simplify]: Simplify 0 into 0 5.604 * [backup-simplify]: Simplify 1 into 1 5.604 * [backup-simplify]: Simplify (/ 1 1) into 1 5.604 * [taylor]: Taking taylor expansion of 1 in N 5.604 * [backup-simplify]: Simplify 1 into 1 5.605 * [backup-simplify]: Simplify (+ 1 0) into 1 5.605 * [backup-simplify]: Simplify (* 0 1) into 0 5.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.606 * [backup-simplify]: Simplify (+ 0 1) into 1 5.608 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1)) into (- +nan.0) 5.608 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.609 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.611 * [backup-simplify]: Simplify (+ 0 0) into 0 5.613 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.616 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1))) into (- +nan.0) 5.624 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 5.624 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.625 * [backup-simplify]: Simplify (+ 0 0) into 0 5.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.633 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1)))) into (- +nan.0) 5.650 * [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 5.650 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.651 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log (- +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.652 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (sqrt (/ 1 (- N))))) into (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) 5.652 * [approximate]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) in (N) around 0 5.652 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) in N 5.652 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) in N 5.652 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.652 * [taylor]: Taking taylor expansion of 1 in N 5.652 * [backup-simplify]: Simplify 1 into 1 5.652 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.652 * [taylor]: Taking taylor expansion of N in N 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify 1 into 1 5.652 * [backup-simplify]: Simplify (/ 1 1) into 1 5.652 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.652 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.652 * [taylor]: Taking taylor expansion of -1 in N 5.652 * [backup-simplify]: Simplify -1 into -1 5.653 * [taylor]: Taking taylor expansion of N in N 5.653 * [backup-simplify]: Simplify 0 into 0 5.653 * [backup-simplify]: Simplify 1 into 1 5.653 * [backup-simplify]: Simplify (/ -1 1) into -1 5.653 * [backup-simplify]: Simplify (sqrt 0) into 0 5.655 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.655 * [backup-simplify]: Simplify (- 1) into -1 5.656 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.656 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 5.657 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.657 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) in N 5.657 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) in N 5.657 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.657 * [taylor]: Taking taylor expansion of 1 in N 5.657 * [backup-simplify]: Simplify 1 into 1 5.657 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.657 * [taylor]: Taking taylor expansion of N in N 5.657 * [backup-simplify]: Simplify 0 into 0 5.657 * [backup-simplify]: Simplify 1 into 1 5.657 * [backup-simplify]: Simplify (/ 1 1) into 1 5.657 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.657 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.657 * [taylor]: Taking taylor expansion of -1 in N 5.657 * [backup-simplify]: Simplify -1 into -1 5.657 * [taylor]: Taking taylor expansion of N in N 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify 1 into 1 5.658 * [backup-simplify]: Simplify (/ -1 1) into -1 5.658 * [backup-simplify]: Simplify (sqrt 0) into 0 5.660 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.660 * [backup-simplify]: Simplify (- 1) into -1 5.660 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.661 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 5.661 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.662 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 5.663 * [backup-simplify]: Simplify (- (log +nan.0) (log N)) into (- (log +nan.0) (log N)) 5.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.664 * [backup-simplify]: Simplify (- 0) into 0 5.664 * [backup-simplify]: Simplify (+ 1 0) into 1 5.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.668 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.671 * [backup-simplify]: Simplify (- (/ 1 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.678 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.678 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.679 * [backup-simplify]: Simplify (- 0) into 0 5.679 * [backup-simplify]: Simplify (+ 0 0) into 0 5.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.682 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.685 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 5.695 * [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 5.695 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.695 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (- (log +nan.0) (log (/ 1 (- N)))))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log (/ -1 N)) (* +nan.0 (/ 1 N))))) 5.695 * * * [progress]: simplifying candidates 5.695 * * * * [progress]: [ 1 / 215 ] simplifiying candidate # 5.695 * * * * [progress]: [ 2 / 215 ] simplifiying candidate # 5.695 * * * * [progress]: [ 3 / 215 ] simplifiying candidate # 5.695 * * * * [progress]: [ 4 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 5 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 6 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 7 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 8 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 9 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 10 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 11 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 12 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 13 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 14 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 15 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 16 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 17 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 18 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 19 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 20 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 21 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 22 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 23 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 24 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 25 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 26 / 215 ] simplifiying candidate # 5.696 * * * * [progress]: [ 27 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 28 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 29 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 30 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 31 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 32 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 33 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 34 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 35 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 36 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 37 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 38 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 39 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 40 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 41 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 42 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 43 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 44 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 45 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 46 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 47 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 48 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 49 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 50 / 215 ] simplifiying candidate # 5.697 * * * * [progress]: [ 51 / 215 ] simplifiying candidate # 5.698 * * * * [progress]: [ 52 / 215 ] simplifiying candidate # 5.698 * * * * [progress]: [ 53 / 215 ] simplifiying candidate # 5.698 * * * * [progress]: [ 54 / 215 ] simplifiying candidate # 5.698 * * * * [progress]: [ 55 / 215 ] simplifiying candidate # 5.698 * * * * [progress]: [ 56 / 215 ] simplifiying candidate # 5.698 * * * * [progress]: [ 57 / 215 ] simplifiying candidate # 5.698 * * * * [progress]: [ 58 / 215 ] simplifiying candidate # 5.698 * * * * [progress]: [ 59 / 215 ] simplifiying candidate # 5.698 * * * * [progress]: [ 60 / 215 ] simplifiying candidate # 5.698 * * * * [progress]: [ 61 / 215 ] simplifiying candidate # 5.698 * * * * [progress]: [ 62 / 215 ] simplifiying candidate # 5.698 * * * * [progress]: [ 63 / 215 ] simplifiying candidate # 5.698 * * * * [progress]: [ 64 / 215 ] simplifiying candidate # 5.698 * * * * [progress]: [ 65 / 215 ] simplifiying candidate # 5.698 * * * * [progress]: [ 66 / 215 ] simplifiying candidate # 5.698 * * * * [progress]: [ 67 / 215 ] simplifiying candidate #real (real->posit16 (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N)))))))> 5.698 * * * * [progress]: [ 68 / 215 ] simplifiying candidate # 5.698 * * * * [progress]: [ 69 / 215 ] simplifiying candidate # 5.698 * * * * [progress]: [ 70 / 215 ] simplifiying candidate # 5.698 * * * * 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simplifiying candidate #real (real->posit16 (/ (+ N 1) (sqrt N)))))))> 5.700 * * * * [progress]: [ 118 / 215 ] simplifiying candidate # 5.700 * * * * [progress]: [ 119 / 215 ] simplifiying candidate # 5.700 * * * * [progress]: [ 120 / 215 ] simplifiying candidate # 5.700 * * * * [progress]: [ 121 / 215 ] simplifiying candidate # 5.700 * * * * [progress]: [ 122 / 215 ] simplifiying candidate # 5.700 * * * * [progress]: [ 123 / 215 ] simplifiying candidate # 5.700 * * * * [progress]: [ 124 / 215 ] simplifiying candidate # 5.700 * * * * [progress]: [ 125 / 215 ] simplifiying candidate # 5.700 * * * * [progress]: [ 126 / 215 ] simplifiying candidate # 5.700 * * * * [progress]: [ 127 / 215 ] simplifiying candidate # 5.700 * * * * [progress]: [ 128 / 215 ] simplifiying candidate # 5.701 * * * * [progress]: [ 129 / 215 ] simplifiying candidate # 5.701 * * * * [progress]: [ 130 / 215 ] simplifiying candidate # 5.701 * * * * [progress]: [ 131 / 215 ] simplifiying candidate # 5.701 * * * * 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5.702 * * * * [progress]: [ 163 / 215 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt N))))) (log (/ (+ N 1) (sqrt N)))))> 5.702 * * * * [progress]: [ 164 / 215 ] simplifiying candidate # 5.702 * * * * [progress]: [ 165 / 215 ] simplifiying candidate # 5.702 * * * * [progress]: [ 166 / 215 ] simplifiying candidate # 5.702 * * * * [progress]: [ 167 / 215 ] simplifiying candidate # 5.702 * * * * [progress]: [ 168 / 215 ] simplifiying candidate # 5.702 * * * * [progress]: [ 169 / 215 ] simplifiying candidate # 5.702 * * * * [progress]: [ 170 / 215 ] simplifiying candidate # 5.702 * * * * [progress]: [ 171 / 215 ] simplifiying candidate # 5.702 * * * * [progress]: [ 172 / 215 ] simplifiying candidate # 5.702 * * * * [progress]: [ 173 / 215 ] simplifiying candidate # 5.702 * * * * [progress]: [ 174 / 215 ] simplifiying candidate # 5.702 * * * * [progress]: [ 175 / 215 ] simplifiying candidate # 5.702 * * * * [progress]: [ 176 / 215 ] simplifiying candidate # 5.702 * * * * 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[progress]: [ 207 / 215 ] simplifiying candidate # 5.704 * * * * [progress]: [ 208 / 215 ] simplifiying candidate # 5.704 * * * * [progress]: [ 209 / 215 ] simplifiying candidate # 5.704 * * * * [progress]: [ 210 / 215 ] simplifiying candidate # 5.704 * * * * [progress]: [ 211 / 215 ] simplifiying candidate # 5.704 * * * * [progress]: [ 212 / 215 ] simplifiying candidate # 5.704 * * * * [progress]: [ 213 / 215 ] simplifiying candidate # 5.704 * * * * [progress]: [ 214 / 215 ] simplifiying candidate # 5.704 * * * * [progress]: [ 215 / 215 ] simplifiying candidate # 5.710 * [simplify]: Simplifying: (* (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N))) (log (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))))) (exp (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))))) (* (cbrt (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))))) (cbrt (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N)))))) (cbrt (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))))) (* (* (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N)))) 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6.665 * * [simplify]: Extracting #3: cost 384 inf + 36072 6.680 * * [simplify]: Extracting #4: cost 82 inf + 115142 6.712 * * [simplify]: Extracting #5: cost 19 inf + 135845 6.733 * * [simplify]: Extracting #6: cost 15 inf + 137726 6.762 * * [simplify]: Extracting #7: cost 4 inf + 139693 6.785 * * [simplify]: Extracting #8: cost 0 inf + 140705 6.828 * [simplify]: Simplified to: (/ (/ (+ N 1) (sqrt N)) (sqrt N)) (log (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (/ (/ (+ N 1) (sqrt N)) (sqrt N)) (* (cbrt (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (cbrt (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N))))) (cbrt (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (* (* (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (sqrt (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (sqrt (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (+ (* (log (/ (+ N 1) (sqrt N))) (* (log (/ (+ N 1) (sqrt N))) (log (/ (+ N 1) (sqrt 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[regimes]: Trying to branch on (- (log (+ N 1)) (log N)) from (# # # # # # #) 7.665 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 7.710 * * * [regime]: Found split indices: #