21.890 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.073 * * * [progress]: [2/2] Setting up program. 0.076 * [progress]: [Phase 2 of 3] Improving. 0.076 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.076 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.076 * * [simplify]: iteration 0: 6 enodes 0.077 * * [simplify]: iteration 1: 11 enodes 0.079 * * [simplify]: iteration 2: 12 enodes 0.080 * * [simplify]: iteration complete: 12 enodes 0.080 * * [simplify]: Extracting #0: cost 1 inf + 0 0.080 * * [simplify]: Extracting #1: cost 4 inf + 0 0.080 * * [simplify]: Extracting #2: cost 6 inf + 0 0.080 * * [simplify]: Extracting #3: cost 4 inf + 183 0.081 * * [simplify]: Extracting #4: cost 0 inf + 560 0.081 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.081 * * [progress]: iteration 1 / 4 0.081 * * * [progress]: picking best candidate 0.084 * * * * [pick]: Picked # 0.084 * * * [progress]: localizing error 0.097 * * * [progress]: generating rewritten candidates 0.097 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.103 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.116 * * * [progress]: generating series expansions 0.116 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.119 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.119 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.120 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.120 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.120 * [taylor]: Taking taylor expansion of N in N 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [taylor]: Taking taylor expansion of 1 in N 0.120 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (+ 0 1) into 1 0.122 * [backup-simplify]: Simplify (log 1) into 0 0.122 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.122 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.122 * [taylor]: Taking taylor expansion of N in N 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [taylor]: Taking taylor expansion of 1 in N 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (+ 0 1) into 1 0.122 * [backup-simplify]: Simplify (log 1) into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ 1 0) into 1 0.124 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.124 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.126 * [backup-simplify]: Simplify -1/2 into -1/2 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [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 0.129 * [backup-simplify]: Simplify 1/3 into 1/3 0.144 * [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))) 0.145 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.145 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.145 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.145 * [taylor]: Taking taylor expansion of N in N 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of 1 in N 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (+ 1 0) into 1 0.147 * [backup-simplify]: Simplify (log 1) into 0 0.147 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [taylor]: Taking taylor expansion of 1 in N 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (+ 1 0) into 1 0.148 * [backup-simplify]: Simplify (log 1) into 0 0.148 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.148 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 1) into 1 0.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.152 * [backup-simplify]: Simplify -1/2 into -1/2 0.152 * [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)))) 0.152 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.152 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.152 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.152 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.152 * [taylor]: Taking taylor expansion of 1 in N 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [backup-simplify]: Simplify (- 1) into -1 0.153 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.153 * [backup-simplify]: Simplify (log -1) into (log -1) 0.154 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.154 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.154 * [taylor]: Taking taylor expansion of 1 in N 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.154 * [taylor]: Taking taylor expansion of N in N 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [backup-simplify]: Simplify (- 1) into -1 0.154 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.155 * [backup-simplify]: Simplify (log -1) into (log -1) 0.155 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.155 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 1 0) into 1 0.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.157 * [backup-simplify]: Simplify -1 into -1 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (- 0) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.162 * [backup-simplify]: Simplify -1/2 into -1/2 0.163 * [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)))) 0.164 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.164 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.164 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.164 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.164 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.164 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [taylor]: Taking taylor expansion of 1 in N 0.164 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (+ 0 1) into 1 0.165 * [backup-simplify]: Simplify (log 1) into 0 0.165 * [taylor]: Taking taylor expansion of (log N) in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (log 1) into 0 0.166 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.166 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.166 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.166 * [taylor]: Taking taylor expansion of N in N 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of 1 in N 0.166 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (+ 0 1) into 1 0.167 * [backup-simplify]: Simplify (log 1) into 0 0.167 * [taylor]: Taking taylor expansion of (log N) in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (log 1) into 0 0.168 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.168 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.168 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.168 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.169 * [backup-simplify]: Simplify (+ 1 0) into 1 0.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.172 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.172 * [backup-simplify]: Simplify (- 0) into 0 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.178 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.179 * [backup-simplify]: Simplify (- 0) into 0 0.179 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.179 * [backup-simplify]: Simplify -1/2 into -1/2 0.180 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.180 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.180 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.180 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.180 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.180 * [taylor]: Taking taylor expansion of N in N 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [taylor]: Taking taylor expansion of 1 in N 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (+ 1 0) into 1 0.181 * [backup-simplify]: Simplify (log 1) into 0 0.181 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.181 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.181 * [taylor]: Taking taylor expansion of N in N 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [backup-simplify]: Simplify (log 1) into 0 0.182 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.182 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.182 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.182 * [taylor]: Taking taylor expansion of N in N 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (/ 1 1) into 1 0.183 * [taylor]: Taking taylor expansion of 1 in N 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (+ 1 0) into 1 0.183 * [backup-simplify]: Simplify (log 1) into 0 0.184 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [backup-simplify]: Simplify (log 1) into 0 0.185 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.185 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.185 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.185 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 1) into 1 0.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.190 * [backup-simplify]: Simplify (- 0) into 0 0.190 * [backup-simplify]: Simplify (+ 1 0) into 1 0.190 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.198 * [backup-simplify]: Simplify (- 0) into 0 0.199 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.199 * [backup-simplify]: Simplify -1/2 into -1/2 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [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 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [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 0.210 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.210 * [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 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.211 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.211 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.211 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.211 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.211 * [taylor]: Taking taylor expansion of 1 in N 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [taylor]: Taking taylor expansion of (/ 1 N) 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 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [backup-simplify]: Simplify (- 1) into -1 0.212 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.213 * [backup-simplify]: Simplify (log -1) into (log -1) 0.213 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.213 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.213 * [taylor]: Taking taylor expansion of -1 in N 0.213 * [backup-simplify]: Simplify -1 into -1 0.213 * [taylor]: Taking taylor expansion of N in N 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (/ -1 1) into -1 0.214 * [backup-simplify]: Simplify (log -1) into (log -1) 0.214 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.214 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.214 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.214 * [taylor]: Taking taylor expansion of 1 in N 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.214 * [taylor]: Taking taylor expansion of N in N 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [backup-simplify]: Simplify (- 1) into -1 0.215 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.215 * [backup-simplify]: Simplify (log -1) into (log -1) 0.215 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.215 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.215 * [taylor]: Taking taylor expansion of -1 in N 0.215 * [backup-simplify]: Simplify -1 into -1 0.215 * [taylor]: Taking taylor expansion of N in N 0.215 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (/ -1 1) into -1 0.216 * [backup-simplify]: Simplify (log -1) into (log -1) 0.217 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.218 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.218 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.219 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (- 0) into 0 0.220 * [backup-simplify]: Simplify (+ 1 0) into 1 0.222 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.225 * [backup-simplify]: Simplify (- 0) into 0 0.225 * [backup-simplify]: Simplify (+ -1 0) into -1 0.225 * [backup-simplify]: Simplify -1 into -1 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.235 * [backup-simplify]: Simplify -1/2 into -1/2 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (- 0) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [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 0.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [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 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.250 * [backup-simplify]: Simplify -1/3 into -1/3 0.250 * [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)))) 0.250 * * * [progress]: simplifying candidates 0.250 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.251 * * * * [progress]: [ 16 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.252 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 27 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.253 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.254 * [simplify]: Simplifying: (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 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))) (- (+ 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)))) (- 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)))) 0.256 * * [simplify]: iteration 0: 97 enodes 0.286 * * [simplify]: iteration 1: 200 enodes 0.336 * * [simplify]: iteration 2: 452 enodes 0.498 * * [simplify]: iteration 3: 1329 enodes 1.703 * * [simplify]: iteration 4: 3749 enodes 2.804 * * [simplify]: iteration complete: 5001 enodes 2.804 * * [simplify]: Extracting #0: cost 41 inf + 0 2.805 * * [simplify]: Extracting #1: cost 232 inf + 1 2.807 * * [simplify]: Extracting #2: cost 658 inf + 2201 2.817 * * [simplify]: Extracting #3: cost 608 inf + 38354 2.853 * * [simplify]: Extracting #4: cost 373 inf + 98233 2.917 * * [simplify]: Extracting #5: cost 165 inf + 194562 2.981 * * [simplify]: Extracting #6: cost 32 inf + 218575 3.036 * * [simplify]: Extracting #7: cost 0 inf + 228567 3.069 * [simplify]: Simplified to: (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ 1 N))) (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) 0 (log (+ 1 N)) 0 (log (+ 1 N)) (log (+ (* (* N N) N) 1)) (log (- (+ (* N N) 1) N)) (log (- (* N N) 1)) (log (- N 1)) (log (+ 1 N)) (log (log (+ 1 N))) (+ 1 N) (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) (cbrt (log (+ 1 N))) (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N))) (real->posit16 (log (+ 1 N))) (/ (+ 1 N) N) (log (- (log (+ 1 N)) (log N))) (/ (+ 1 N) N) (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))) (cbrt (- (log (+ 1 N)) (log N))) (* (* (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N))) (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (- (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (* (log N) (* (log N) (log N)))) (+ (* (log (+ 1 N)) (+ (log (+ 1 N)) (log N))) (* (log N) (log N))) (- (log N)) (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) (+ (log (+ 1 N)) (log N)) (+ (sqrt (log (+ 1 N))) (sqrt (log N))) (- (sqrt (log (+ 1 N))) (sqrt (log N))) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (- (log (+ 1 N)) (log (cbrt N))) (log (cbrt N))) (- (log (+ 1 N)) (log (sqrt N))) (log (+ 1 N)) (- (log (cbrt (+ 1 N))) (log N)) (- (log (sqrt (+ 1 N))) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (+ (log (- (+ (* N N) 1) N)) (log N)) (+ (log N) (log (- N 1))) (- (log N)) (real->posit16 (- (log (+ 1 N)) (log N))) (+ (* N (* N (+ (* N 1/3) -1/2))) N) (- (+ (/ 1 N) (log N)) (/ (/ 1/2 N) N)) (- (+ (/ 1 N) (log N)) (/ (/ 1/2 N) N)) (- (- N (log N)) (/ (* N N) 2)) (- (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) (- (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) 3.071 * * * [progress]: adding candidates to table 3.224 * * [progress]: iteration 2 / 4 3.224 * * * [progress]: picking best candidate 3.228 * * * * [pick]: Picked # 3.228 * * * [progress]: localizing error 3.237 * * * [progress]: generating rewritten candidates 3.237 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.243 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.270 * * * [progress]: generating series expansions 3.270 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.271 * [backup-simplify]: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 3.271 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 3.271 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.271 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.271 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.271 * [taylor]: Taking taylor expansion of N in N 3.271 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify 1 into 1 3.271 * [taylor]: Taking taylor expansion of 1 in N 3.271 * [backup-simplify]: Simplify 1 into 1 3.271 * [taylor]: Taking taylor expansion of N in N 3.271 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify 1 into 1 3.272 * [backup-simplify]: Simplify (+ 0 1) into 1 3.272 * [backup-simplify]: Simplify (/ 1 1) into 1 3.272 * [backup-simplify]: Simplify (log 1) into 0 3.272 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.272 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.272 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.273 * [taylor]: Taking taylor expansion of N in N 3.273 * [backup-simplify]: Simplify 0 into 0 3.273 * [backup-simplify]: Simplify 1 into 1 3.273 * [taylor]: Taking taylor expansion of 1 in N 3.273 * [backup-simplify]: Simplify 1 into 1 3.273 * [taylor]: Taking taylor expansion of N in N 3.273 * [backup-simplify]: Simplify 0 into 0 3.273 * [backup-simplify]: Simplify 1 into 1 3.273 * [backup-simplify]: Simplify (+ 0 1) into 1 3.273 * [backup-simplify]: Simplify (/ 1 1) into 1 3.274 * [backup-simplify]: Simplify (log 1) into 0 3.274 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.274 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 3.275 * [backup-simplify]: Simplify (+ 1 0) into 1 3.276 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.277 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.277 * [backup-simplify]: Simplify 1 into 1 3.277 * [backup-simplify]: Simplify (+ 0 0) into 0 3.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.281 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.281 * [backup-simplify]: Simplify -1/2 into -1/2 3.281 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 3.281 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 3.281 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 3.281 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.281 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.281 * [taylor]: Taking taylor expansion of N in N 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify 1 into 1 3.281 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.281 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.281 * [taylor]: Taking taylor expansion of N in N 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify 1 into 1 3.282 * [backup-simplify]: Simplify (/ 1 1) into 1 3.282 * [taylor]: Taking taylor expansion of 1 in N 3.282 * [backup-simplify]: Simplify 1 into 1 3.282 * [backup-simplify]: Simplify (+ 1 0) into 1 3.282 * [backup-simplify]: Simplify (* 0 1) into 0 3.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.283 * [backup-simplify]: Simplify (+ 0 1) into 1 3.283 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.284 * [backup-simplify]: Simplify (log 1) into 0 3.284 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.284 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.284 * [taylor]: Taking taylor expansion of N in N 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify 1 into 1 3.284 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.284 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.284 * [taylor]: Taking taylor expansion of N in N 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify 1 into 1 3.284 * [backup-simplify]: Simplify (/ 1 1) into 1 3.284 * [taylor]: Taking taylor expansion of 1 in N 3.284 * [backup-simplify]: Simplify 1 into 1 3.285 * [backup-simplify]: Simplify (+ 1 0) into 1 3.285 * [backup-simplify]: Simplify (* 0 1) into 0 3.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.286 * [backup-simplify]: Simplify (+ 0 1) into 1 3.286 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.286 * [backup-simplify]: Simplify (log 1) into 0 3.286 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.287 * [backup-simplify]: Simplify (+ 0 0) into 0 3.287 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.288 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.288 * [backup-simplify]: Simplify 1 into 1 3.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.289 * [backup-simplify]: Simplify (+ 0 0) into 0 3.290 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.291 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.291 * [backup-simplify]: Simplify -1/2 into -1/2 3.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.292 * [backup-simplify]: Simplify (+ 0 0) into 0 3.293 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.296 * [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 3.296 * [backup-simplify]: Simplify 1/3 into 1/3 3.296 * [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)))) 3.296 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 3.296 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 3.296 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.296 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.296 * [taylor]: Taking taylor expansion of -1 in N 3.296 * [backup-simplify]: Simplify -1 into -1 3.296 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.296 * [taylor]: Taking taylor expansion of N in N 3.296 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify 1 into 1 3.296 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.296 * [taylor]: Taking taylor expansion of 1 in N 3.296 * [backup-simplify]: Simplify 1 into 1 3.296 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.296 * [taylor]: Taking taylor expansion of N in N 3.296 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify 1 into 1 3.297 * [backup-simplify]: Simplify (/ 1 1) into 1 3.297 * [backup-simplify]: Simplify (- 1) into -1 3.297 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.297 * [backup-simplify]: Simplify (* 0 -1) into 0 3.298 * [backup-simplify]: Simplify (* -1 0) into 0 3.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.298 * [backup-simplify]: Simplify (- 0) into 0 3.299 * [backup-simplify]: Simplify (+ 1 0) into 1 3.299 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.299 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.302 * [backup-simplify]: Simplify (log 1) into 0 3.302 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.303 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.303 * [taylor]: Taking taylor expansion of -1 in N 3.303 * [backup-simplify]: Simplify -1 into -1 3.303 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.303 * [taylor]: Taking taylor expansion of N in N 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify 1 into 1 3.303 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.303 * [taylor]: Taking taylor expansion of 1 in N 3.303 * [backup-simplify]: Simplify 1 into 1 3.303 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.303 * [taylor]: Taking taylor expansion of N in N 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify 1 into 1 3.303 * [backup-simplify]: Simplify (/ 1 1) into 1 3.303 * [backup-simplify]: Simplify (- 1) into -1 3.304 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.304 * [backup-simplify]: Simplify (* 0 -1) into 0 3.304 * [backup-simplify]: Simplify (* -1 0) into 0 3.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.305 * [backup-simplify]: Simplify (- 0) into 0 3.305 * [backup-simplify]: Simplify (+ 1 0) into 1 3.306 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.306 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.306 * [backup-simplify]: Simplify (log 1) into 0 3.306 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.307 * [backup-simplify]: Simplify (- 0) into 0 3.307 * [backup-simplify]: Simplify (+ 0 0) into 0 3.308 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.309 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.309 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.310 * [backup-simplify]: Simplify -1 into -1 3.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.311 * [backup-simplify]: Simplify (- 0) into 0 3.311 * [backup-simplify]: Simplify (+ 0 0) into 0 3.313 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.314 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.317 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.317 * [backup-simplify]: Simplify -1/2 into -1/2 3.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.318 * [backup-simplify]: Simplify (- 0) into 0 3.319 * [backup-simplify]: Simplify (+ 0 0) into 0 3.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.322 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.327 * [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 3.327 * [backup-simplify]: Simplify -1/3 into -1/3 3.328 * [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)))) 3.328 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.328 * [backup-simplify]: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 3.328 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 3.328 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.328 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.328 * [taylor]: Taking taylor expansion of N in N 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify 1 into 1 3.328 * [taylor]: Taking taylor expansion of 1 in N 3.328 * [backup-simplify]: Simplify 1 into 1 3.328 * [taylor]: Taking taylor expansion of N in N 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify 1 into 1 3.328 * [backup-simplify]: Simplify (+ 0 1) into 1 3.329 * [backup-simplify]: Simplify (/ 1 1) into 1 3.329 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.329 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.329 * [taylor]: Taking taylor expansion of N in N 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify 1 into 1 3.329 * [taylor]: Taking taylor expansion of 1 in N 3.329 * [backup-simplify]: Simplify 1 into 1 3.329 * [taylor]: Taking taylor expansion of N in N 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify 1 into 1 3.330 * [backup-simplify]: Simplify (+ 0 1) into 1 3.330 * [backup-simplify]: Simplify (/ 1 1) into 1 3.330 * [backup-simplify]: Simplify 1 into 1 3.330 * [backup-simplify]: Simplify (+ 1 0) into 1 3.331 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.331 * [backup-simplify]: Simplify 1 into 1 3.332 * [backup-simplify]: Simplify (+ 0 0) into 0 3.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify (+ 0 0) into 0 3.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.334 * [backup-simplify]: Simplify 0 into 0 3.335 * [backup-simplify]: Simplify (+ 0 0) into 0 3.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.336 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify (+ 0 0) into 0 3.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify (+ 0 0) into 0 3.338 * [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 3.338 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify (+ 0 0) into 0 3.340 * [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 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 3.340 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 3.340 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 3.340 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.340 * [taylor]: Taking taylor expansion of N in N 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify 1 into 1 3.340 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.340 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.340 * [taylor]: Taking taylor expansion of N in N 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify 1 into 1 3.341 * [backup-simplify]: Simplify (/ 1 1) into 1 3.341 * [taylor]: Taking taylor expansion of 1 in N 3.341 * [backup-simplify]: Simplify 1 into 1 3.341 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.341 * [taylor]: Taking taylor expansion of N in N 3.341 * [backup-simplify]: Simplify 0 into 0 3.341 * [backup-simplify]: Simplify 1 into 1 3.341 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.341 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.341 * [taylor]: Taking taylor expansion of N in N 3.341 * [backup-simplify]: Simplify 0 into 0 3.341 * [backup-simplify]: Simplify 1 into 1 3.341 * [backup-simplify]: Simplify (/ 1 1) into 1 3.341 * [taylor]: Taking taylor expansion of 1 in N 3.341 * [backup-simplify]: Simplify 1 into 1 3.342 * [backup-simplify]: Simplify (+ 1 0) into 1 3.342 * [backup-simplify]: Simplify (* 0 1) into 0 3.342 * [backup-simplify]: Simplify 0 into 0 3.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.343 * [backup-simplify]: Simplify (+ 0 1) into 1 3.344 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.344 * [backup-simplify]: Simplify 1 into 1 3.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.345 * [backup-simplify]: Simplify (+ 0 0) into 0 3.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.346 * [backup-simplify]: Simplify 1 into 1 3.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.347 * [backup-simplify]: Simplify (+ 0 0) into 0 3.348 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.348 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.350 * [backup-simplify]: Simplify (+ 0 0) into 0 3.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.351 * [backup-simplify]: Simplify 0 into 0 3.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.353 * [backup-simplify]: Simplify (+ 0 0) into 0 3.354 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 3.354 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.356 * [backup-simplify]: Simplify (+ 0 0) into 0 3.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 3.357 * [backup-simplify]: Simplify 0 into 0 3.358 * [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 3.359 * [backup-simplify]: Simplify (+ 0 0) into 0 3.360 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 3.360 * [backup-simplify]: Simplify 0 into 0 3.361 * [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 3.362 * [backup-simplify]: Simplify (+ 0 0) into 0 3.363 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 3.364 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 3.364 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 3.364 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.364 * [taylor]: Taking taylor expansion of -1 in N 3.364 * [backup-simplify]: Simplify -1 into -1 3.364 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.364 * [taylor]: Taking taylor expansion of N in N 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 1 into 1 3.364 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.364 * [taylor]: Taking taylor expansion of 1 in N 3.364 * [backup-simplify]: Simplify 1 into 1 3.364 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.364 * [taylor]: Taking taylor expansion of N in N 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 1 into 1 3.365 * [backup-simplify]: Simplify (/ 1 1) into 1 3.365 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.365 * [taylor]: Taking taylor expansion of -1 in N 3.365 * [backup-simplify]: Simplify -1 into -1 3.365 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.365 * [taylor]: Taking taylor expansion of N in N 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 1 into 1 3.365 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.365 * [taylor]: Taking taylor expansion of 1 in N 3.365 * [backup-simplify]: Simplify 1 into 1 3.365 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.365 * [taylor]: Taking taylor expansion of N in N 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 1 into 1 3.365 * [backup-simplify]: Simplify (/ 1 1) into 1 3.366 * [backup-simplify]: Simplify (- 1) into -1 3.366 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.367 * [backup-simplify]: Simplify (* 0 -1) into 0 3.367 * [backup-simplify]: Simplify (* -1 0) into 0 3.367 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.368 * [backup-simplify]: Simplify (- 0) into 0 3.369 * [backup-simplify]: Simplify (+ 1 0) into 1 3.369 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.370 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.370 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.370 * [backup-simplify]: Simplify (- 0) into 0 3.371 * [backup-simplify]: Simplify (+ 0 0) into 0 3.371 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.372 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.372 * [backup-simplify]: Simplify -1 into -1 3.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.373 * [backup-simplify]: Simplify (- 0) into 0 3.373 * [backup-simplify]: Simplify (+ 0 0) into 0 3.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.374 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.374 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.375 * [backup-simplify]: Simplify (- 0) into 0 3.375 * [backup-simplify]: Simplify (+ 0 0) into 0 3.376 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.377 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.377 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.378 * [backup-simplify]: Simplify (- 0) into 0 3.378 * [backup-simplify]: Simplify (+ 0 0) into 0 3.379 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 3.380 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 3.380 * [backup-simplify]: Simplify 0 into 0 3.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.381 * [backup-simplify]: Simplify (- 0) into 0 3.381 * [backup-simplify]: Simplify (+ 0 0) into 0 3.382 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 3.383 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 3.383 * [backup-simplify]: Simplify 0 into 0 3.384 * [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 3.384 * [backup-simplify]: Simplify (- 0) into 0 3.384 * [backup-simplify]: Simplify (+ 0 0) into 0 3.385 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 3.386 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 3.386 * [backup-simplify]: Simplify 0 into 0 3.387 * [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 3.387 * [backup-simplify]: Simplify (- 0) into 0 3.387 * [backup-simplify]: Simplify (+ 0 0) into 0 3.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 3.390 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 3.390 * [backup-simplify]: Simplify 0 into 0 3.390 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 3.390 * * * [progress]: simplifying candidates 3.390 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 3.390 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 3.390 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 3.390 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 3.390 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 3.390 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 3.390 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 3.390 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 3.390 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 3.390 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 3.390 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 3.390 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 3.390 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ N 1) N)))))> 3.391 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 3.391 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ N 1) N)))))> 3.392 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 3.392 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 3.393 * [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) 3.394 * * [simplify]: iteration 0: 102 enodes 3.441 * * [simplify]: iteration 1: 233 enodes 3.520 * * [simplify]: iteration 2: 620 enodes 3.990 * * [simplify]: iteration 3: 2563 enodes 4.894 * * [simplify]: iteration complete: 5021 enodes 4.894 * * [simplify]: Extracting #0: cost 65 inf + 0 4.903 * * [simplify]: Extracting #1: cost 811 inf + 2 4.913 * * [simplify]: Extracting #2: cost 1697 inf + 7911 4.947 * * [simplify]: Extracting #3: cost 1456 inf + 130242 5.008 * * [simplify]: Extracting #4: cost 392 inf + 384181 5.089 * * [simplify]: Extracting #5: cost 10 inf + 502968 5.170 * * [simplify]: Extracting #6: cost 0 inf + 506109 5.238 * [simplify]: Simplified to: (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)) (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) 0 (log (/ (+ 1 N) N)) (log (+ 1 N)) (- (log N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (/ (+ 1 N) N) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (* (/ (+ 1 N) N) (* (/ (+ 1 N) N) (/ (+ 1 N) N))) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (/ (+ 1 N) N) (* (/ (+ 1 N) N) (/ (+ 1 N) N))) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- -1 N) (- N) (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N)))) (/ (cbrt (+ 1 N)) (sqrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (/ (+ 1 N) (cbrt N)) (cbrt N)) (/ (+ 1 N) (sqrt N)) (+ 1 N) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (* N (+ (- 1 N) (* N N))) (* (- N 1) N) (real->posit16 (/ (+ 1 N) 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)) 5.241 * * * [progress]: adding candidates to table 5.453 * * [progress]: iteration 3 / 4 5.454 * * * [progress]: picking best candidate 5.466 * * * * [pick]: Picked # 5.466 * * * [progress]: localizing error 5.483 * * * [progress]: generating rewritten candidates 5.483 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 5.490 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 5.512 * * * [progress]: generating series expansions 5.512 * * * * [progress]: [ 1 / 2 ] generating series at (2) 5.512 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 5.512 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 5.512 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 5.512 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.512 * [taylor]: Taking taylor expansion of (+ N 1) 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 * [taylor]: Taking taylor expansion of 1 in N 5.512 * [backup-simplify]: Simplify 1 into 1 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 5.513 * [backup-simplify]: Simplify (+ 0 1) into 1 5.513 * [backup-simplify]: Simplify (/ 1 1) into 1 5.513 * [backup-simplify]: Simplify (log 1) into 0 5.513 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 5.513 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.513 * [taylor]: Taking taylor expansion of (+ N 1) 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 5.513 * [taylor]: Taking taylor expansion of 1 in N 5.513 * [backup-simplify]: Simplify 1 into 1 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 (+ 0 1) into 1 5.514 * [backup-simplify]: Simplify (/ 1 1) into 1 5.514 * [backup-simplify]: Simplify (log 1) into 0 5.514 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.515 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.515 * [backup-simplify]: Simplify (+ 1 0) into 1 5.515 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.516 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.516 * [backup-simplify]: Simplify 1 into 1 5.516 * [backup-simplify]: Simplify (+ 0 0) into 0 5.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.518 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.518 * [backup-simplify]: Simplify -1/2 into -1/2 5.519 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 5.519 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 5.519 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 5.519 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 5.519 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 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 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.519 * [taylor]: Taking taylor expansion of (/ 1 N) in N 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 5.519 * [taylor]: Taking taylor expansion of 1 in N 5.519 * [backup-simplify]: Simplify 1 into 1 5.519 * [backup-simplify]: Simplify (+ 1 0) into 1 5.520 * [backup-simplify]: Simplify (* 0 1) into 0 5.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.520 * [backup-simplify]: Simplify (+ 0 1) into 1 5.521 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.521 * [backup-simplify]: Simplify (log 1) into 0 5.521 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 5.521 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 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 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.521 * [taylor]: Taking taylor expansion of (/ 1 N) in N 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 * [taylor]: Taking taylor expansion of 1 in N 5.521 * [backup-simplify]: Simplify 1 into 1 5.522 * [backup-simplify]: Simplify (+ 1 0) into 1 5.522 * [backup-simplify]: Simplify (* 0 1) into 0 5.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.523 * [backup-simplify]: Simplify (+ 0 1) into 1 5.523 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.523 * [backup-simplify]: Simplify (log 1) into 0 5.523 * [backup-simplify]: Simplify 0 into 0 5.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.524 * [backup-simplify]: Simplify (+ 0 0) into 0 5.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.525 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.525 * [backup-simplify]: Simplify 1 into 1 5.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.527 * [backup-simplify]: Simplify (+ 0 0) into 0 5.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.530 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.531 * [backup-simplify]: Simplify -1/2 into -1/2 5.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.532 * [backup-simplify]: Simplify (+ 0 0) into 0 5.533 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 5.538 * [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 5.538 * [backup-simplify]: Simplify 1/3 into 1/3 5.539 * [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)))) 5.539 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 5.539 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 5.539 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 5.539 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.539 * [taylor]: Taking taylor expansion of -1 in N 5.539 * [backup-simplify]: Simplify -1 into -1 5.539 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.539 * [taylor]: Taking taylor expansion of N in N 5.539 * [backup-simplify]: Simplify 0 into 0 5.539 * [backup-simplify]: Simplify 1 into 1 5.540 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.540 * [taylor]: Taking taylor expansion of 1 in N 5.540 * [backup-simplify]: Simplify 1 into 1 5.540 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.540 * [taylor]: Taking taylor expansion of N in N 5.540 * [backup-simplify]: Simplify 0 into 0 5.540 * [backup-simplify]: Simplify 1 into 1 5.540 * [backup-simplify]: Simplify (/ 1 1) into 1 5.540 * [backup-simplify]: Simplify (- 1) into -1 5.541 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.541 * [backup-simplify]: Simplify (* 0 -1) into 0 5.542 * [backup-simplify]: Simplify (* -1 0) into 0 5.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.543 * [backup-simplify]: Simplify (- 0) into 0 5.543 * [backup-simplify]: Simplify (+ 1 0) into 1 5.544 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.545 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.545 * [backup-simplify]: Simplify (log 1) into 0 5.545 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 5.545 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.545 * [taylor]: Taking taylor expansion of -1 in N 5.545 * [backup-simplify]: Simplify -1 into -1 5.545 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.545 * [taylor]: Taking taylor expansion of N in N 5.545 * [backup-simplify]: Simplify 0 into 0 5.545 * [backup-simplify]: Simplify 1 into 1 5.545 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.545 * [taylor]: Taking taylor expansion of 1 in N 5.545 * [backup-simplify]: Simplify 1 into 1 5.545 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.545 * [taylor]: Taking taylor expansion of N in N 5.545 * [backup-simplify]: Simplify 0 into 0 5.545 * [backup-simplify]: Simplify 1 into 1 5.546 * [backup-simplify]: Simplify (/ 1 1) into 1 5.546 * [backup-simplify]: Simplify (- 1) into -1 5.547 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.547 * [backup-simplify]: Simplify (* 0 -1) into 0 5.548 * [backup-simplify]: Simplify (* -1 0) into 0 5.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.549 * [backup-simplify]: Simplify (- 0) into 0 5.549 * [backup-simplify]: Simplify (+ 1 0) into 1 5.550 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.551 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.551 * [backup-simplify]: Simplify (log 1) into 0 5.551 * [backup-simplify]: Simplify 0 into 0 5.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.552 * [backup-simplify]: Simplify (- 0) into 0 5.553 * [backup-simplify]: Simplify (+ 0 0) into 0 5.554 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.555 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.556 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 5.556 * [backup-simplify]: Simplify -1 into -1 5.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.558 * [backup-simplify]: Simplify (- 0) into 0 5.558 * [backup-simplify]: Simplify (+ 0 0) into 0 5.559 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.561 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 5.563 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.563 * [backup-simplify]: Simplify -1/2 into -1/2 5.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.565 * [backup-simplify]: Simplify (- 0) into 0 5.565 * [backup-simplify]: Simplify (+ 0 0) into 0 5.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 5.568 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 5.574 * [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 5.574 * [backup-simplify]: Simplify -1/3 into -1/3 5.574 * [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)))) 5.574 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 5.575 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 5.575 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 5.575 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.575 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.575 * [taylor]: Taking taylor expansion of N in N 5.575 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify 1 into 1 5.575 * [taylor]: Taking taylor expansion of 1 in N 5.575 * [backup-simplify]: Simplify 1 into 1 5.575 * [taylor]: Taking taylor expansion of N in N 5.575 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify 1 into 1 5.575 * [backup-simplify]: Simplify (+ 0 1) into 1 5.576 * [backup-simplify]: Simplify (/ 1 1) into 1 5.576 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.576 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.576 * [taylor]: Taking taylor expansion of N in N 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify 1 into 1 5.576 * [taylor]: Taking taylor expansion of 1 in N 5.576 * [backup-simplify]: Simplify 1 into 1 5.576 * [taylor]: Taking taylor expansion of N in N 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify 1 into 1 5.576 * [backup-simplify]: Simplify (+ 0 1) into 1 5.577 * [backup-simplify]: Simplify (/ 1 1) into 1 5.577 * [backup-simplify]: Simplify 1 into 1 5.577 * [backup-simplify]: Simplify (+ 1 0) into 1 5.579 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.579 * [backup-simplify]: Simplify 1 into 1 5.579 * [backup-simplify]: Simplify (+ 0 0) into 0 5.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify (+ 0 0) into 0 5.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.581 * [backup-simplify]: Simplify 0 into 0 5.582 * [backup-simplify]: Simplify (+ 0 0) into 0 5.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.583 * [backup-simplify]: Simplify 0 into 0 5.583 * [backup-simplify]: Simplify (+ 0 0) into 0 5.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.584 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify (+ 0 0) into 0 5.585 * [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 5.585 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify (+ 0 0) into 0 5.587 * [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 5.587 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 5.587 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 5.587 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 5.587 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.587 * [taylor]: Taking taylor expansion of N in N 5.587 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify 1 into 1 5.587 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.587 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.587 * [taylor]: Taking taylor expansion of N in N 5.587 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify 1 into 1 5.588 * [backup-simplify]: Simplify (/ 1 1) into 1 5.588 * [taylor]: Taking taylor expansion of 1 in N 5.588 * [backup-simplify]: Simplify 1 into 1 5.588 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.588 * [taylor]: Taking taylor expansion of N in N 5.588 * [backup-simplify]: Simplify 0 into 0 5.588 * [backup-simplify]: Simplify 1 into 1 5.588 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.588 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.588 * [taylor]: Taking taylor expansion of N in N 5.588 * [backup-simplify]: Simplify 0 into 0 5.588 * [backup-simplify]: Simplify 1 into 1 5.588 * [backup-simplify]: Simplify (/ 1 1) into 1 5.588 * [taylor]: Taking taylor expansion of 1 in N 5.589 * [backup-simplify]: Simplify 1 into 1 5.589 * [backup-simplify]: Simplify (+ 1 0) into 1 5.589 * [backup-simplify]: Simplify (* 0 1) into 0 5.590 * [backup-simplify]: Simplify 0 into 0 5.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.591 * [backup-simplify]: Simplify (+ 0 1) into 1 5.592 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.592 * [backup-simplify]: Simplify 1 into 1 5.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.593 * [backup-simplify]: Simplify (+ 0 0) into 0 5.594 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.594 * [backup-simplify]: Simplify 1 into 1 5.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.595 * [backup-simplify]: Simplify (+ 0 0) into 0 5.596 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.596 * [backup-simplify]: Simplify 0 into 0 5.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.598 * [backup-simplify]: Simplify (+ 0 0) into 0 5.599 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 5.599 * [backup-simplify]: Simplify 0 into 0 5.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.600 * [backup-simplify]: Simplify (+ 0 0) into 0 5.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 5.601 * [backup-simplify]: Simplify 0 into 0 5.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.603 * [backup-simplify]: Simplify (+ 0 0) into 0 5.604 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 5.604 * [backup-simplify]: Simplify 0 into 0 5.605 * [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 5.606 * [backup-simplify]: Simplify (+ 0 0) into 0 5.607 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 5.607 * [backup-simplify]: Simplify 0 into 0 5.608 * [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 5.609 * [backup-simplify]: Simplify (+ 0 0) into 0 5.611 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 5.611 * [backup-simplify]: Simplify 0 into 0 5.611 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 5.611 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 5.611 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 5.611 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.611 * [taylor]: Taking taylor expansion of -1 in N 5.611 * [backup-simplify]: Simplify -1 into -1 5.611 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.611 * [taylor]: Taking taylor expansion of N in N 5.611 * [backup-simplify]: Simplify 0 into 0 5.611 * [backup-simplify]: Simplify 1 into 1 5.611 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.611 * [taylor]: Taking taylor expansion of 1 in N 5.611 * [backup-simplify]: Simplify 1 into 1 5.611 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.611 * [taylor]: Taking taylor expansion of N in N 5.611 * [backup-simplify]: Simplify 0 into 0 5.611 * [backup-simplify]: Simplify 1 into 1 5.612 * [backup-simplify]: Simplify (/ 1 1) into 1 5.612 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.612 * [taylor]: Taking taylor expansion of -1 in N 5.612 * [backup-simplify]: Simplify -1 into -1 5.612 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.612 * [taylor]: Taking taylor expansion of N in N 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify 1 into 1 5.612 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.612 * [taylor]: Taking taylor expansion of 1 in N 5.612 * [backup-simplify]: Simplify 1 into 1 5.612 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.612 * [taylor]: Taking taylor expansion of N in N 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify 1 into 1 5.613 * [backup-simplify]: Simplify (/ 1 1) into 1 5.613 * [backup-simplify]: Simplify (- 1) into -1 5.614 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.614 * [backup-simplify]: Simplify (* 0 -1) into 0 5.614 * [backup-simplify]: Simplify (* -1 0) into 0 5.614 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.616 * [backup-simplify]: Simplify (- 0) into 0 5.616 * [backup-simplify]: Simplify (+ 1 0) into 1 5.617 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.617 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.617 * [backup-simplify]: Simplify 1 into 1 5.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.619 * [backup-simplify]: Simplify (- 0) into 0 5.619 * [backup-simplify]: Simplify (+ 0 0) into 0 5.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.621 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.621 * [backup-simplify]: Simplify -1 into -1 5.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.623 * [backup-simplify]: Simplify (- 0) into 0 5.623 * [backup-simplify]: Simplify (+ 0 0) into 0 5.624 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.626 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 5.626 * [backup-simplify]: Simplify 0 into 0 5.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.627 * [backup-simplify]: Simplify (- 0) into 0 5.628 * [backup-simplify]: Simplify (+ 0 0) into 0 5.629 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 5.631 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 5.631 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.632 * [backup-simplify]: Simplify (- 0) into 0 5.632 * [backup-simplify]: Simplify (+ 0 0) into 0 5.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 5.636 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 5.636 * [backup-simplify]: Simplify 0 into 0 5.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.637 * [backup-simplify]: Simplify (- 0) into 0 5.637 * [backup-simplify]: Simplify (+ 0 0) into 0 5.641 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 5.643 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 5.644 * [backup-simplify]: Simplify 0 into 0 5.645 * [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 5.645 * [backup-simplify]: Simplify (- 0) into 0 5.645 * [backup-simplify]: Simplify (+ 0 0) into 0 5.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 5.649 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 5.649 * [backup-simplify]: Simplify 0 into 0 5.651 * [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 5.651 * [backup-simplify]: Simplify (- 0) into 0 5.651 * [backup-simplify]: Simplify (+ 0 0) into 0 5.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 5.656 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 5.656 * [backup-simplify]: Simplify 0 into 0 5.656 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 5.656 * * * [progress]: simplifying candidates 5.656 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 5.656 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 5.657 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 5.657 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 5.657 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 5.657 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 5.657 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 5.657 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 5.657 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 5.657 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 5.657 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 5.657 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 5.657 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 5.657 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 5.657 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 5.657 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 5.657 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 5.657 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 5.658 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 5.658 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 5.658 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 5.658 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 5.658 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 5.658 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 5.658 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 5.658 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 5.658 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 5.658 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 5.658 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 5.658 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 5.658 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 5.658 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 5.658 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 5.658 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 5.658 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 5.659 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 5.659 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 5.659 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 5.659 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 5.659 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 5.659 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 5.659 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 5.659 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 5.659 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 5.659 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 5.659 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 5.659 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 5.659 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 5.659 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 5.659 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 5.660 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 5.660 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 5.660 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 5.660 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 5.660 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 5.660 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 5.660 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 5.660 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 5.660 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 5.660 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 5.660 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 5.660 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 5.660 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 5.660 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 5.660 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 5.660 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 5.660 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 5.660 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 5.662 * [simplify]: Simplifying: (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1)) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log 1) (log (/ (+ 1 N) N)) (log (+ 1 N)) (log (/ 1 N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (exp (log (/ (+ 1 N) N))) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (- (log (+ 1 N)) (log N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (/ (* (* (+ 1 N) (+ 1 N)) (+ 1 N)) (* (* N N) N)) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- (+ 1 N)) (- N) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)) (/ (cbrt (+ 1 N)) (sqrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) 1) (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (/ (+ 1 N) 1) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (* N (+ (* 1 1) (- (* N N) (* 1 N)))) (* N (- 1 N)) (real->posit16 (/ (+ 1 N) 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) 5.663 * * [simplify]: iteration 0: 102 enodes 5.707 * * [simplify]: iteration 1: 233 enodes 5.773 * * [simplify]: iteration 2: 578 enodes 6.045 * * [simplify]: iteration 3: 2187 enodes 6.771 * * [simplify]: iteration complete: 5300 enodes 6.772 * * [simplify]: Extracting #0: cost 65 inf + 0 6.773 * * [simplify]: Extracting #1: cost 756 inf + 2 6.778 * * [simplify]: Extracting #2: cost 1734 inf + 5433 6.794 * * [simplify]: Extracting #3: cost 1883 inf + 94408 6.879 * * [simplify]: Extracting #4: cost 861 inf + 336335 6.966 * * [simplify]: Extracting #5: cost 122 inf + 569476 7.062 * * [simplify]: Extracting #6: cost 0 inf + 608229 7.159 * [simplify]: Simplified to: (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (+ (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 N)) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) N)) (log (/ (/ (sqrt (+ 1 N)) (cbrt N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) 0 (log (/ (+ 1 N) N)) (log (+ 1 N)) (- (log N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (/ (+ 1 N) N) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (* (/ (+ 1 N) N) (* (/ (+ 1 N) N) (/ (+ 1 N) N))) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (/ (+ 1 N) N) (* (/ (+ 1 N) N) (/ (+ 1 N) N))) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- -1 N) (- N) (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N)))) (/ (cbrt (+ 1 N)) (sqrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (cbrt (+ 1 N)) N) (/ (/ (sqrt (+ 1 N)) (cbrt N)) (cbrt N)) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (/ (+ 1 N) (cbrt N)) (cbrt N)) (/ (+ 1 N) (sqrt N)) (+ 1 N) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (+ (* N (- (* N N) N)) N) (* (- 1 N) N) (real->posit16 (/ (+ 1 N) N)) (- (+ N (* (* N N) -1/2)) (log N)) (+ (/ 1 N) (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2))) (+ (/ 1 N) (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 7.162 * * * [progress]: adding candidates to table 7.350 * * [progress]: iteration 4 / 4 7.350 * * * [progress]: picking best candidate 7.354 * * * * [pick]: Picked # 7.355 * * * [progress]: localizing error 7.385 * * * [progress]: generating rewritten candidates 7.385 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 7.394 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 7.435 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 7.464 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 7.488 * * * [progress]: generating series expansions 7.488 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 7.488 * [backup-simplify]: Simplify (log (sqrt (+ 1 N))) into (log (sqrt (+ N 1))) 7.489 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1))) in (N) around 0 7.489 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 7.489 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 7.489 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.489 * [taylor]: Taking taylor expansion of N in N 7.489 * [backup-simplify]: Simplify 0 into 0 7.489 * [backup-simplify]: Simplify 1 into 1 7.489 * [taylor]: Taking taylor expansion of 1 in N 7.489 * [backup-simplify]: Simplify 1 into 1 7.490 * [backup-simplify]: Simplify (+ 0 1) into 1 7.490 * [backup-simplify]: Simplify (sqrt 1) into 1 7.491 * [backup-simplify]: Simplify (+ 1 0) into 1 7.491 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.492 * [backup-simplify]: Simplify (log 1) into 0 7.492 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 7.492 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 7.492 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.492 * [taylor]: Taking taylor expansion of N in N 7.492 * [backup-simplify]: Simplify 0 into 0 7.492 * [backup-simplify]: Simplify 1 into 1 7.492 * [taylor]: Taking taylor expansion of 1 in N 7.492 * [backup-simplify]: Simplify 1 into 1 7.492 * [backup-simplify]: Simplify (+ 0 1) into 1 7.493 * [backup-simplify]: Simplify (sqrt 1) into 1 7.493 * [backup-simplify]: Simplify (+ 1 0) into 1 7.494 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.494 * [backup-simplify]: Simplify (log 1) into 0 7.494 * [backup-simplify]: Simplify 0 into 0 7.496 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 7.496 * [backup-simplify]: Simplify 1/2 into 1/2 7.496 * [backup-simplify]: Simplify (+ 0 0) into 0 7.497 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 7.500 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 7.501 * [backup-simplify]: Simplify -1/4 into -1/4 7.501 * [backup-simplify]: Simplify (+ 0 0) into 0 7.502 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 7.508 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 7.508 * [backup-simplify]: Simplify 1/6 into 1/6 7.509 * [backup-simplify]: Simplify (+ (* 1/6 (pow N 3)) (+ (* -1/4 (pow N 2)) (* 1/2 N))) into (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) 7.509 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 N)))) into (log (sqrt (+ (/ 1 N) 1))) 7.509 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in (N) around 0 7.509 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 7.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 7.509 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.509 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.509 * [taylor]: Taking taylor expansion of N in N 7.509 * [backup-simplify]: Simplify 0 into 0 7.509 * [backup-simplify]: Simplify 1 into 1 7.510 * [backup-simplify]: Simplify (/ 1 1) into 1 7.510 * [taylor]: Taking taylor expansion of 1 in N 7.510 * [backup-simplify]: Simplify 1 into 1 7.510 * [backup-simplify]: Simplify (+ 1 0) into 1 7.511 * [backup-simplify]: Simplify (sqrt 0) into 0 7.513 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.514 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.514 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 7.514 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 7.514 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.514 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.514 * [taylor]: Taking taylor expansion of N in N 7.514 * [backup-simplify]: Simplify 0 into 0 7.514 * [backup-simplify]: Simplify 1 into 1 7.514 * [backup-simplify]: Simplify (/ 1 1) into 1 7.514 * [taylor]: Taking taylor expansion of 1 in N 7.514 * [backup-simplify]: Simplify 1 into 1 7.515 * [backup-simplify]: Simplify (+ 1 0) into 1 7.515 * [backup-simplify]: Simplify (sqrt 0) into 0 7.516 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.517 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.517 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.519 * [backup-simplify]: Simplify (+ 0 1) into 1 7.522 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.528 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.528 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.530 * [backup-simplify]: Simplify (+ 0 0) into 0 7.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.547 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 7.547 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.548 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 7.548 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 (- N))))) into (log (sqrt (- 1 (/ 1 N)))) 7.548 * [approximate]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in (N) around 0 7.548 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 7.548 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 7.548 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.548 * [taylor]: Taking taylor expansion of 1 in N 7.548 * [backup-simplify]: Simplify 1 into 1 7.548 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.548 * [taylor]: Taking taylor expansion of N in N 7.548 * [backup-simplify]: Simplify 0 into 0 7.548 * [backup-simplify]: Simplify 1 into 1 7.549 * [backup-simplify]: Simplify (/ 1 1) into 1 7.549 * [backup-simplify]: Simplify (- 1) into -1 7.549 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.550 * [backup-simplify]: Simplify (sqrt 0) into 0 7.551 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.552 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.552 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 7.552 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 7.552 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.552 * [taylor]: Taking taylor expansion of 1 in N 7.552 * [backup-simplify]: Simplify 1 into 1 7.552 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.552 * [taylor]: Taking taylor expansion of N in N 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify 1 into 1 7.552 * [backup-simplify]: Simplify (/ 1 1) into 1 7.553 * [backup-simplify]: Simplify (- 1) into -1 7.553 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.554 * [backup-simplify]: Simplify (sqrt 0) into 0 7.555 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.556 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.556 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.557 * [backup-simplify]: Simplify (- 0) into 0 7.558 * [backup-simplify]: Simplify (+ 1 0) into 1 7.561 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.567 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.567 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.568 * [backup-simplify]: Simplify (- 0) into 0 7.569 * [backup-simplify]: Simplify (+ 0 0) into 0 7.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.586 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 7.586 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.587 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 7.587 * * * * [progress]: [ 2 / 4 ] generating series at (2) 7.587 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) into (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) 7.587 * [approximate]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in (N) around 0 7.587 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 7.587 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 7.587 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 7.587 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 7.587 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.587 * [taylor]: Taking taylor expansion of N in N 7.587 * [backup-simplify]: Simplify 0 into 0 7.587 * [backup-simplify]: Simplify 1 into 1 7.587 * [taylor]: Taking taylor expansion of 1 in N 7.587 * [backup-simplify]: Simplify 1 into 1 7.588 * [backup-simplify]: Simplify (+ 0 1) into 1 7.588 * [backup-simplify]: Simplify (sqrt 1) into 1 7.589 * [backup-simplify]: Simplify (+ 1 0) into 1 7.589 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.589 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.589 * [taylor]: Taking taylor expansion of N in N 7.589 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify 1 into 1 7.590 * [backup-simplify]: Simplify (/ 1 1) into 1 7.590 * [backup-simplify]: Simplify (* 1 1) into 1 7.590 * [backup-simplify]: Simplify (log 1) into 0 7.590 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 7.590 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 7.591 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.591 * [taylor]: Taking taylor expansion of N in N 7.591 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify 1 into 1 7.591 * [taylor]: Taking taylor expansion of 1 in N 7.591 * [backup-simplify]: Simplify 1 into 1 7.591 * [backup-simplify]: Simplify (+ 0 1) into 1 7.591 * [backup-simplify]: Simplify (sqrt 1) into 1 7.592 * [backup-simplify]: Simplify (+ 1 0) into 1 7.592 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.593 * [backup-simplify]: Simplify (log 1) into 0 7.593 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 7.593 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 7.593 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 7.593 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 7.593 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.593 * [taylor]: Taking taylor expansion of N in N 7.593 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify 1 into 1 7.593 * [taylor]: Taking taylor expansion of 1 in N 7.593 * [backup-simplify]: Simplify 1 into 1 7.593 * [backup-simplify]: Simplify (+ 0 1) into 1 7.594 * [backup-simplify]: Simplify (sqrt 1) into 1 7.594 * [backup-simplify]: Simplify (+ 1 0) into 1 7.595 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.595 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.595 * [taylor]: Taking taylor expansion of N in N 7.595 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify 1 into 1 7.595 * [backup-simplify]: Simplify (/ 1 1) into 1 7.596 * [backup-simplify]: Simplify (* 1 1) into 1 7.596 * [backup-simplify]: Simplify (log 1) into 0 7.596 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 7.596 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 7.596 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.596 * [taylor]: Taking taylor expansion of N in N 7.596 * [backup-simplify]: Simplify 0 into 0 7.596 * [backup-simplify]: Simplify 1 into 1 7.596 * [taylor]: Taking taylor expansion of 1 in N 7.596 * [backup-simplify]: Simplify 1 into 1 7.597 * [backup-simplify]: Simplify (+ 0 1) into 1 7.597 * [backup-simplify]: Simplify (sqrt 1) into 1 7.597 * [backup-simplify]: Simplify (+ 1 0) into 1 7.598 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.598 * [backup-simplify]: Simplify (log 1) into 0 7.599 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.599 * [backup-simplify]: Simplify (+ (- (log N)) 0) into (- (log N)) 7.599 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 7.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 7.602 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 7.603 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 7.603 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 7.603 * [backup-simplify]: Simplify 1 into 1 7.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.605 * [backup-simplify]: Simplify (+ 0 0) into 0 7.606 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 7.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/2 0) (* -1/8 1))) into -1/8 7.610 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 7.610 * [backup-simplify]: Simplify (+ 0 0) into 0 7.610 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 7.612 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 7.612 * [backup-simplify]: Simplify (+ -1/4 -1/4) into -1/2 7.612 * [backup-simplify]: Simplify -1/2 into -1/2 7.612 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 7.613 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 (/ 1 N)))) (log (/ (sqrt (+ 1 (/ 1 N))) (/ 1 N)))) into (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) 7.613 * [approximate]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in (N) around 0 7.613 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 7.613 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 7.613 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 7.613 * [taylor]: Taking taylor expansion of N in N 7.613 * [backup-simplify]: Simplify 0 into 0 7.613 * [backup-simplify]: Simplify 1 into 1 7.613 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 7.613 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.613 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.613 * [taylor]: Taking taylor expansion of N in N 7.613 * [backup-simplify]: Simplify 0 into 0 7.613 * [backup-simplify]: Simplify 1 into 1 7.613 * [backup-simplify]: Simplify (/ 1 1) into 1 7.613 * [taylor]: Taking taylor expansion of 1 in N 7.613 * [backup-simplify]: Simplify 1 into 1 7.613 * [backup-simplify]: Simplify (+ 1 0) into 1 7.614 * [backup-simplify]: Simplify (sqrt 0) into 0 7.615 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.615 * [backup-simplify]: Simplify (* 0 0) into 0 7.615 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 7.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.616 * [backup-simplify]: Simplify (+ 0 1) into 1 7.620 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.621 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 7.622 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 7.622 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 7.622 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 7.622 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.622 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.622 * [taylor]: Taking taylor expansion of N in N 7.622 * [backup-simplify]: Simplify 0 into 0 7.622 * [backup-simplify]: Simplify 1 into 1 7.622 * [backup-simplify]: Simplify (/ 1 1) into 1 7.622 * [taylor]: Taking taylor expansion of 1 in N 7.622 * [backup-simplify]: Simplify 1 into 1 7.623 * [backup-simplify]: Simplify (+ 1 0) into 1 7.623 * [backup-simplify]: Simplify (sqrt 0) into 0 7.624 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.624 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.624 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 7.624 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 7.624 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 7.624 * [taylor]: Taking taylor expansion of N in N 7.624 * [backup-simplify]: Simplify 0 into 0 7.624 * [backup-simplify]: Simplify 1 into 1 7.624 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 7.624 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.624 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.624 * [taylor]: Taking taylor expansion of N in N 7.624 * [backup-simplify]: Simplify 0 into 0 7.624 * [backup-simplify]: Simplify 1 into 1 7.624 * [backup-simplify]: Simplify (/ 1 1) into 1 7.624 * [taylor]: Taking taylor expansion of 1 in N 7.624 * [backup-simplify]: Simplify 1 into 1 7.625 * [backup-simplify]: Simplify (+ 1 0) into 1 7.625 * [backup-simplify]: Simplify (sqrt 0) into 0 7.626 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.626 * [backup-simplify]: Simplify (* 0 0) into 0 7.626 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 7.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.627 * [backup-simplify]: Simplify (+ 0 1) into 1 7.629 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.631 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 7.631 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 7.631 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 7.631 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 7.631 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.631 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.631 * [taylor]: Taking taylor expansion of N in N 7.631 * [backup-simplify]: Simplify 0 into 0 7.631 * [backup-simplify]: Simplify 1 into 1 7.632 * [backup-simplify]: Simplify (/ 1 1) into 1 7.632 * [taylor]: Taking taylor expansion of 1 in N 7.632 * [backup-simplify]: Simplify 1 into 1 7.632 * [backup-simplify]: Simplify (+ 1 0) into 1 7.632 * [backup-simplify]: Simplify (sqrt 0) into 0 7.633 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.633 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.634 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 7.635 * [backup-simplify]: Simplify (+ (+ (log (- +nan.0)) (log N)) (log +nan.0)) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 7.636 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 7.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.636 * [backup-simplify]: Simplify (+ 0 0) into 0 7.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.644 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 7.652 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 7.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.653 * [backup-simplify]: Simplify (+ 0 1) into 1 7.656 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.664 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.664 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.665 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.666 * [backup-simplify]: Simplify (+ 0 0) into 0 7.671 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.674 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 7.684 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 7.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.685 * [backup-simplify]: Simplify (+ 0 0) into 0 7.687 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.695 * [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 7.695 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.696 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.697 * [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))))) 7.697 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 (/ 1 (- N))))) (log (/ (sqrt (+ 1 (/ 1 (- N)))) (/ 1 (- N))))) into (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) 7.697 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in (N) around 0 7.697 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 7.697 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 7.697 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 7.697 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.697 * [taylor]: Taking taylor expansion of 1 in N 7.697 * [backup-simplify]: Simplify 1 into 1 7.697 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.697 * [taylor]: Taking taylor expansion of N in N 7.697 * [backup-simplify]: Simplify 0 into 0 7.697 * [backup-simplify]: Simplify 1 into 1 7.698 * [backup-simplify]: Simplify (/ 1 1) into 1 7.698 * [backup-simplify]: Simplify (- 1) into -1 7.698 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.698 * [backup-simplify]: Simplify (sqrt 0) into 0 7.699 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.700 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.700 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 7.700 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 7.700 * [taylor]: Taking taylor expansion of -1 in N 7.700 * [backup-simplify]: Simplify -1 into -1 7.700 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 7.700 * [taylor]: Taking taylor expansion of N in N 7.700 * [backup-simplify]: Simplify 0 into 0 7.700 * [backup-simplify]: Simplify 1 into 1 7.700 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 7.700 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.700 * [taylor]: Taking taylor expansion of 1 in N 7.700 * [backup-simplify]: Simplify 1 into 1 7.700 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.700 * [taylor]: Taking taylor expansion of N in N 7.700 * [backup-simplify]: Simplify 0 into 0 7.700 * [backup-simplify]: Simplify 1 into 1 7.700 * [backup-simplify]: Simplify (/ 1 1) into 1 7.700 * [backup-simplify]: Simplify (- 1) into -1 7.700 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.701 * [backup-simplify]: Simplify (sqrt 0) into 0 7.702 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.702 * [backup-simplify]: Simplify (* 0 0) into 0 7.702 * [backup-simplify]: Simplify (* -1 0) into 0 7.703 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 7.704 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 7.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.705 * [backup-simplify]: Simplify (- 0) into 0 7.705 * [backup-simplify]: Simplify (+ 1 0) into 1 7.708 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.711 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 7.713 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 7.714 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 7.714 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 7.714 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 7.714 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 7.714 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.714 * [taylor]: Taking taylor expansion of 1 in N 7.715 * [backup-simplify]: Simplify 1 into 1 7.715 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.715 * [taylor]: Taking taylor expansion of N in N 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify 1 into 1 7.715 * [backup-simplify]: Simplify (/ 1 1) into 1 7.715 * [backup-simplify]: Simplify (- 1) into -1 7.716 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.716 * [backup-simplify]: Simplify (sqrt 0) into 0 7.717 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.718 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.718 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 7.718 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 7.718 * [taylor]: Taking taylor expansion of -1 in N 7.718 * [backup-simplify]: Simplify -1 into -1 7.718 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 7.718 * [taylor]: Taking taylor expansion of N in N 7.718 * [backup-simplify]: Simplify 0 into 0 7.718 * [backup-simplify]: Simplify 1 into 1 7.718 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 7.718 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.718 * [taylor]: Taking taylor expansion of 1 in N 7.718 * [backup-simplify]: Simplify 1 into 1 7.718 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.718 * [taylor]: Taking taylor expansion of N in N 7.718 * [backup-simplify]: Simplify 0 into 0 7.718 * [backup-simplify]: Simplify 1 into 1 7.719 * [backup-simplify]: Simplify (/ 1 1) into 1 7.719 * [backup-simplify]: Simplify (- 1) into -1 7.719 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.720 * [backup-simplify]: Simplify (sqrt 0) into 0 7.721 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.721 * [backup-simplify]: Simplify (* 0 0) into 0 7.722 * [backup-simplify]: Simplify (* -1 0) into 0 7.723 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 7.723 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 7.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.724 * [backup-simplify]: Simplify (- 0) into 0 7.725 * [backup-simplify]: Simplify (+ 1 0) into 1 7.728 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.730 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 7.731 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 7.732 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 7.733 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 7.734 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 7.734 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 7.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.735 * [backup-simplify]: Simplify (- 0) into 0 7.735 * [backup-simplify]: Simplify (+ 1 0) into 1 7.737 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.742 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.743 * [backup-simplify]: Simplify (- 0) into 0 7.743 * [backup-simplify]: Simplify (+ 0 0) into 0 7.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.748 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 7.750 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 7.758 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 7.758 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.759 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.760 * [backup-simplify]: Simplify (- 0) into 0 7.760 * [backup-simplify]: Simplify (+ 0 0) into 0 7.764 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.777 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 7.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.778 * [backup-simplify]: Simplify (- 0) into 0 7.778 * [backup-simplify]: Simplify (+ 0 0) into 0 7.781 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.783 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 7.785 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 7.795 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 7.795 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.795 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.797 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 7.797 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 7.797 * [backup-simplify]: Simplify (/ (sqrt (+ 1 N)) N) into (* (sqrt (+ N 1)) (/ 1 N)) 7.797 * [approximate]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in (N) around 0 7.797 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 7.797 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 7.797 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.797 * [taylor]: Taking taylor expansion of N in N 7.797 * [backup-simplify]: Simplify 0 into 0 7.797 * [backup-simplify]: Simplify 1 into 1 7.797 * [taylor]: Taking taylor expansion of 1 in N 7.797 * [backup-simplify]: Simplify 1 into 1 7.797 * [backup-simplify]: Simplify (+ 0 1) into 1 7.797 * [backup-simplify]: Simplify (sqrt 1) into 1 7.798 * [backup-simplify]: Simplify (+ 1 0) into 1 7.798 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.798 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.798 * [taylor]: Taking taylor expansion of N in N 7.798 * [backup-simplify]: Simplify 0 into 0 7.798 * [backup-simplify]: Simplify 1 into 1 7.798 * [backup-simplify]: Simplify (/ 1 1) into 1 7.798 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 7.798 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 7.798 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.799 * [taylor]: Taking taylor expansion of N in N 7.799 * [backup-simplify]: Simplify 0 into 0 7.799 * [backup-simplify]: Simplify 1 into 1 7.799 * [taylor]: Taking taylor expansion of 1 in N 7.799 * [backup-simplify]: Simplify 1 into 1 7.799 * [backup-simplify]: Simplify (+ 0 1) into 1 7.799 * [backup-simplify]: Simplify (sqrt 1) into 1 7.799 * [backup-simplify]: Simplify (+ 1 0) into 1 7.800 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.800 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.800 * [taylor]: Taking taylor expansion of N in N 7.800 * [backup-simplify]: Simplify 0 into 0 7.800 * [backup-simplify]: Simplify 1 into 1 7.800 * [backup-simplify]: Simplify (/ 1 1) into 1 7.800 * [backup-simplify]: Simplify (* 1 1) into 1 7.800 * [backup-simplify]: Simplify 1 into 1 7.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 7.801 * [backup-simplify]: Simplify 1/2 into 1/2 7.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.802 * [backup-simplify]: Simplify (+ 0 0) into 0 7.803 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 7.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/2 0) (* -1/8 1))) into -1/8 7.803 * [backup-simplify]: Simplify -1/8 into -1/8 7.803 * [backup-simplify]: Simplify (+ (* -1/8 N) (+ 1/2 (* 1 (/ 1 N)))) into (- (+ (/ 1 N) 1/2) (* 1/8 N)) 7.804 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 N))) (/ 1 N)) into (* N (sqrt (+ (/ 1 N) 1))) 7.804 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in (N) around 0 7.804 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 7.804 * [taylor]: Taking taylor expansion of N in N 7.804 * [backup-simplify]: Simplify 0 into 0 7.804 * [backup-simplify]: Simplify 1 into 1 7.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 7.804 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.804 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.804 * [taylor]: Taking taylor expansion of N in N 7.804 * [backup-simplify]: Simplify 0 into 0 7.804 * [backup-simplify]: Simplify 1 into 1 7.804 * [backup-simplify]: Simplify (/ 1 1) into 1 7.804 * [taylor]: Taking taylor expansion of 1 in N 7.804 * [backup-simplify]: Simplify 1 into 1 7.804 * [backup-simplify]: Simplify (+ 1 0) into 1 7.804 * [backup-simplify]: Simplify (sqrt 0) into 0 7.805 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.805 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 7.805 * [taylor]: Taking taylor expansion of N in N 7.805 * [backup-simplify]: Simplify 0 into 0 7.805 * [backup-simplify]: Simplify 1 into 1 7.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 7.806 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.806 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.806 * [taylor]: Taking taylor expansion of N in N 7.806 * [backup-simplify]: Simplify 0 into 0 7.806 * [backup-simplify]: Simplify 1 into 1 7.806 * [backup-simplify]: Simplify (/ 1 1) into 1 7.806 * [taylor]: Taking taylor expansion of 1 in N 7.806 * [backup-simplify]: Simplify 1 into 1 7.806 * [backup-simplify]: Simplify (+ 1 0) into 1 7.806 * [backup-simplify]: Simplify (sqrt 0) into 0 7.807 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.807 * [backup-simplify]: Simplify (* 0 0) into 0 7.807 * [backup-simplify]: Simplify 0 into 0 7.808 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 7.808 * [backup-simplify]: Simplify 0 into 0 7.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.809 * [backup-simplify]: Simplify (+ 0 1) into 1 7.811 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.814 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 7.815 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.816 * [backup-simplify]: Simplify (+ 0 0) into 0 7.820 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.824 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 7.824 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.826 * [backup-simplify]: Simplify (+ 0 0) into 0 7.833 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.836 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 7.837 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.839 * [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))))))) 7.839 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 (- N)))) (/ 1 (- N))) into (* -1 (* N (sqrt (- 1 (/ 1 N))))) 7.839 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in (N) around 0 7.839 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 7.839 * [taylor]: Taking taylor expansion of -1 in N 7.839 * [backup-simplify]: Simplify -1 into -1 7.839 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 7.839 * [taylor]: Taking taylor expansion of N in N 7.839 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify 1 into 1 7.839 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 7.839 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.839 * [taylor]: Taking taylor expansion of 1 in N 7.839 * [backup-simplify]: Simplify 1 into 1 7.839 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.839 * [taylor]: Taking taylor expansion of N in N 7.839 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify 1 into 1 7.840 * [backup-simplify]: Simplify (/ 1 1) into 1 7.840 * [backup-simplify]: Simplify (- 1) into -1 7.841 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.841 * [backup-simplify]: Simplify (sqrt 0) into 0 7.842 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.842 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 7.842 * [taylor]: Taking taylor expansion of -1 in N 7.842 * [backup-simplify]: Simplify -1 into -1 7.842 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 7.842 * [taylor]: Taking taylor expansion of N in N 7.842 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify 1 into 1 7.842 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 7.842 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.842 * [taylor]: Taking taylor expansion of 1 in N 7.842 * [backup-simplify]: Simplify 1 into 1 7.842 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.842 * [taylor]: Taking taylor expansion of N in N 7.842 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify 1 into 1 7.843 * [backup-simplify]: Simplify (/ 1 1) into 1 7.843 * [backup-simplify]: Simplify (- 1) into -1 7.843 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.843 * [backup-simplify]: Simplify (sqrt 0) into 0 7.844 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.844 * [backup-simplify]: Simplify (* 0 0) into 0 7.845 * [backup-simplify]: Simplify (* -1 0) into 0 7.845 * [backup-simplify]: Simplify 0 into 0 7.845 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 7.845 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 7.846 * [backup-simplify]: Simplify 0 into 0 7.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.846 * [backup-simplify]: Simplify (- 0) into 0 7.846 * [backup-simplify]: Simplify (+ 1 0) into 1 7.848 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.850 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 7.851 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 7.852 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.852 * [backup-simplify]: Simplify (- 0) into 0 7.853 * [backup-simplify]: Simplify (+ 0 0) into 0 7.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.857 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 7.859 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 7.859 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.860 * [backup-simplify]: Simplify (- 0) into 0 7.860 * [backup-simplify]: Simplify (+ 0 0) into 0 7.863 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.865 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 7.867 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 7.867 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.868 * [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))))))) 7.868 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 7.868 * [backup-simplify]: Simplify (sqrt (+ 1 N)) into (sqrt (+ N 1)) 7.869 * [approximate]: Taking taylor expansion of (sqrt (+ N 1)) in (N) around 0 7.869 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 7.869 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.869 * [taylor]: Taking taylor expansion of N in N 7.869 * [backup-simplify]: Simplify 0 into 0 7.869 * [backup-simplify]: Simplify 1 into 1 7.869 * [taylor]: Taking taylor expansion of 1 in N 7.869 * [backup-simplify]: Simplify 1 into 1 7.869 * [backup-simplify]: Simplify (+ 0 1) into 1 7.869 * [backup-simplify]: Simplify (sqrt 1) into 1 7.870 * [backup-simplify]: Simplify (+ 1 0) into 1 7.870 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.870 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 7.870 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.870 * [taylor]: Taking taylor expansion of N in N 7.870 * [backup-simplify]: Simplify 0 into 0 7.870 * [backup-simplify]: Simplify 1 into 1 7.871 * [taylor]: Taking taylor expansion of 1 in N 7.871 * [backup-simplify]: Simplify 1 into 1 7.871 * [backup-simplify]: Simplify (+ 0 1) into 1 7.872 * [backup-simplify]: Simplify (sqrt 1) into 1 7.872 * [backup-simplify]: Simplify (+ 1 0) into 1 7.873 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.873 * [backup-simplify]: Simplify 1 into 1 7.873 * [backup-simplify]: Simplify 1/2 into 1/2 7.873 * [backup-simplify]: Simplify (+ 0 0) into 0 7.875 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 7.875 * [backup-simplify]: Simplify -1/8 into -1/8 7.875 * [backup-simplify]: Simplify (+ (* -1/8 (pow N 2)) (+ (* 1/2 N) 1)) into (- (+ (* 1/2 N) 1) (* 1/8 (pow N 2))) 7.875 * [backup-simplify]: Simplify (sqrt (+ 1 (/ 1 N))) into (sqrt (+ (/ 1 N) 1)) 7.875 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in (N) around 0 7.875 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 7.875 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.875 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.875 * [taylor]: Taking taylor expansion of N in N 7.875 * [backup-simplify]: Simplify 0 into 0 7.875 * [backup-simplify]: Simplify 1 into 1 7.876 * [backup-simplify]: Simplify (/ 1 1) into 1 7.876 * [taylor]: Taking taylor expansion of 1 in N 7.876 * [backup-simplify]: Simplify 1 into 1 7.876 * [backup-simplify]: Simplify (+ 1 0) into 1 7.877 * [backup-simplify]: Simplify (sqrt 0) into 0 7.878 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.878 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 7.878 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.878 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.878 * [taylor]: Taking taylor expansion of N in N 7.878 * [backup-simplify]: Simplify 0 into 0 7.878 * [backup-simplify]: Simplify 1 into 1 7.878 * [backup-simplify]: Simplify (/ 1 1) into 1 7.879 * [taylor]: Taking taylor expansion of 1 in N 7.879 * [backup-simplify]: Simplify 1 into 1 7.879 * [backup-simplify]: Simplify (+ 1 0) into 1 7.879 * [backup-simplify]: Simplify (sqrt 0) into 0 7.881 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.881 * [backup-simplify]: Simplify 0 into 0 7.881 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.882 * [backup-simplify]: Simplify (+ 0 1) into 1 7.886 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.886 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.887 * [backup-simplify]: Simplify (+ 0 0) into 0 7.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.891 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.891 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 7.891 * [backup-simplify]: Simplify (sqrt (+ 1 (/ 1 (- N)))) into (sqrt (- 1 (/ 1 N))) 7.891 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in (N) around 0 7.891 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 7.891 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.891 * [taylor]: Taking taylor expansion of 1 in N 7.891 * [backup-simplify]: Simplify 1 into 1 7.891 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.892 * [taylor]: Taking taylor expansion of N in N 7.892 * [backup-simplify]: Simplify 0 into 0 7.892 * [backup-simplify]: Simplify 1 into 1 7.892 * [backup-simplify]: Simplify (/ 1 1) into 1 7.892 * [backup-simplify]: Simplify (- 1) into -1 7.893 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.893 * [backup-simplify]: Simplify (sqrt 0) into 0 7.894 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.895 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 7.895 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.895 * [taylor]: Taking taylor expansion of 1 in N 7.895 * [backup-simplify]: Simplify 1 into 1 7.895 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.895 * [taylor]: Taking taylor expansion of N in N 7.895 * [backup-simplify]: Simplify 0 into 0 7.895 * [backup-simplify]: Simplify 1 into 1 7.895 * [backup-simplify]: Simplify (/ 1 1) into 1 7.895 * [backup-simplify]: Simplify (- 1) into -1 7.896 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.896 * [backup-simplify]: Simplify (sqrt 0) into 0 7.898 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.898 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.899 * [backup-simplify]: Simplify (- 0) into 0 7.899 * [backup-simplify]: Simplify (+ 1 0) into 1 7.902 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.902 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.904 * [backup-simplify]: Simplify (- 0) into 0 7.904 * [backup-simplify]: Simplify (+ 0 0) into 0 7.908 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.908 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.909 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 7.909 * * * [progress]: simplifying candidates 7.909 * * * * [progress]: [ 1 / 147 ] simplifiying candidate # 7.909 * * * * [progress]: [ 2 / 147 ] simplifiying candidate # 7.909 * * * * [progress]: [ 3 / 147 ] simplifiying candidate # 7.909 * * * * [progress]: [ 4 / 147 ] simplifiying candidate # 7.909 * * * * [progress]: [ 5 / 147 ] simplifiying candidate # 7.909 * * * * [progress]: [ 6 / 147 ] simplifiying candidate # 7.909 * * * * [progress]: [ 7 / 147 ] simplifiying candidate # 7.909 * * * * [progress]: [ 8 / 147 ] simplifiying candidate # 7.909 * * * * [progress]: [ 9 / 147 ] simplifiying candidate # 7.909 * * * * [progress]: [ 10 / 147 ] simplifiying candidate # 7.910 * * * * [progress]: [ 11 / 147 ] simplifiying candidate # 7.910 * * * * [progress]: [ 12 / 147 ] simplifiying candidate # 7.910 * * * * [progress]: [ 13 / 147 ] simplifiying candidate # 7.910 * * * * [progress]: [ 14 / 147 ] simplifiying candidate # 7.910 * * * * [progress]: [ 15 / 147 ] simplifiying candidate # 7.910 * * * * [progress]: [ 16 / 147 ] simplifiying candidate # 7.910 * * * * [progress]: [ 17 / 147 ] simplifiying candidate # 7.910 * * * * [progress]: [ 18 / 147 ] simplifiying candidate # 7.910 * * * * [progress]: [ 19 / 147 ] simplifiying candidate # 7.910 * * * * [progress]: [ 20 / 147 ] simplifiying candidate # 7.910 * * * * [progress]: [ 21 / 147 ] simplifiying candidate #real (real->posit16 (log (sqrt (+ 1 N))))) (log (/ (sqrt (+ 1 N)) N))))> 7.910 * * * * [progress]: [ 22 / 147 ] simplifiying candidate # 7.910 * * * * [progress]: [ 23 / 147 ] simplifiying candidate # 7.910 * * * * [progress]: [ 24 / 147 ] simplifiying candidate # 7.910 * * * * [progress]: [ 25 / 147 ] simplifiying candidate # 7.910 * * * * [progress]: [ 26 / 147 ] simplifiying candidate # 7.911 * * * * [progress]: [ 27 / 147 ] simplifiying candidate # 7.911 * * * * [progress]: [ 28 / 147 ] simplifiying candidate # 7.911 * * * * [progress]: [ 29 / 147 ] simplifiying candidate # 7.911 * * * * [progress]: [ 30 / 147 ] simplifiying candidate # 7.911 * * * * [progress]: [ 31 / 147 ] simplifiying candidate # 7.911 * * * * [progress]: [ 32 / 147 ] simplifiying candidate # 7.911 * * * * [progress]: [ 33 / 147 ] simplifiying candidate # 7.911 * * * * [progress]: [ 34 / 147 ] simplifiying candidate # 7.911 * * * * [progress]: [ 35 / 147 ] simplifiying candidate # 7.911 * * * * [progress]: [ 36 / 147 ] simplifiying candidate # 7.911 * * * * [progress]: [ 37 / 147 ] simplifiying candidate # 7.911 * * * * [progress]: [ 38 / 147 ] simplifiying candidate # 7.911 * * * * [progress]: [ 39 / 147 ] simplifiying candidate # 7.911 * * * * [progress]: [ 40 / 147 ] simplifiying candidate # 7.912 * * * * [progress]: [ 41 / 147 ] simplifiying candidate # 7.912 * * * * [progress]: [ 42 / 147 ] simplifiying candidate # 7.912 * * * * [progress]: [ 43 / 147 ] simplifiying candidate # 7.912 * * * * [progress]: [ 44 / 147 ] simplifiying candidate # 7.912 * * * * [progress]: [ 45 / 147 ] simplifiying candidate # 7.912 * * * * [progress]: [ 46 / 147 ] simplifiying candidate # 7.912 * * * * [progress]: [ 47 / 147 ] simplifiying candidate # 7.912 * * * * [progress]: [ 48 / 147 ] simplifiying candidate # 7.912 * * * * [progress]: [ 49 / 147 ] simplifiying candidate # 7.912 * * * * [progress]: [ 50 / 147 ] simplifiying candidate # 7.912 * * * * [progress]: [ 51 / 147 ] simplifiying candidate # 7.912 * * * * [progress]: [ 52 / 147 ] simplifiying candidate # 7.912 * * * * [progress]: [ 53 / 147 ] simplifiying candidate # 7.912 * * * * [progress]: [ 54 / 147 ] simplifiying candidate # 7.912 * * * * [progress]: [ 55 / 147 ] simplifiying candidate # 7.913 * * * * [progress]: [ 56 / 147 ] simplifiying candidate # 7.913 * * * * [progress]: [ 57 / 147 ] simplifiying candidate # 7.913 * * * * [progress]: [ 58 / 147 ] simplifiying candidate # 7.913 * * * * [progress]: [ 59 / 147 ] simplifiying candidate # 7.913 * * * * [progress]: [ 60 / 147 ] simplifiying candidate # 7.913 * * * * [progress]: [ 61 / 147 ] simplifiying candidate # 7.913 * * * * [progress]: [ 62 / 147 ] simplifiying candidate # 7.913 * * * * [progress]: [ 63 / 147 ] simplifiying candidate # 7.913 * * * * [progress]: [ 64 / 147 ] simplifiying candidate # 7.913 * * * * [progress]: [ 65 / 147 ] simplifiying candidate # 7.913 * * * * [progress]: [ 66 / 147 ] simplifiying candidate # 7.913 * * * * [progress]: [ 67 / 147 ] simplifiying candidate # 7.913 * * * * [progress]: [ 68 / 147 ] simplifiying candidate # 7.913 * * * * [progress]: [ 69 / 147 ] simplifiying candidate # 7.913 * * * * [progress]: [ 70 / 147 ] simplifiying candidate # 7.914 * * * * [progress]: [ 71 / 147 ] simplifiying candidate #real (real->posit16 (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))))> 7.914 * * * * [progress]: [ 72 / 147 ] simplifiying candidate # 7.914 * * * * [progress]: [ 73 / 147 ] simplifiying candidate # 7.914 * * * * [progress]: [ 74 / 147 ] simplifiying candidate # 7.914 * * * * [progress]: [ 75 / 147 ] simplifiying candidate # 7.914 * * * * [progress]: [ 76 / 147 ] simplifiying candidate # 7.914 * * * * [progress]: [ 77 / 147 ] simplifiying candidate # 7.914 * * * * [progress]: [ 78 / 147 ] simplifiying candidate # 7.914 * * * * [progress]: [ 79 / 147 ] simplifiying candidate # 7.914 * * * * [progress]: [ 80 / 147 ] simplifiying candidate # 7.914 * * * * [progress]: [ 81 / 147 ] simplifiying candidate # 7.914 * * * * [progress]: [ 82 / 147 ] simplifiying candidate # 7.914 * * * * [progress]: [ 83 / 147 ] simplifiying candidate # 7.914 * * * * [progress]: [ 84 / 147 ] simplifiying candidate # 7.914 * * * * [progress]: [ 85 / 147 ] simplifiying candidate # 7.914 * * * * [progress]: [ 86 / 147 ] simplifiying candidate # 7.915 * * * * [progress]: [ 87 / 147 ] simplifiying candidate # 7.915 * * * * [progress]: [ 88 / 147 ] simplifiying candidate # 7.915 * * * * [progress]: [ 89 / 147 ] simplifiying candidate # 7.915 * * * * [progress]: [ 90 / 147 ] simplifiying candidate # 7.915 * * * * [progress]: [ 91 / 147 ] simplifiying candidate # 7.915 * * * * [progress]: [ 92 / 147 ] simplifiying candidate # 7.915 * * * * [progress]: [ 93 / 147 ] simplifiying candidate # 7.915 * * * * [progress]: [ 94 / 147 ] simplifiying candidate # 7.915 * * * * [progress]: [ 95 / 147 ] simplifiying candidate # 7.915 * * * * [progress]: [ 96 / 147 ] simplifiying candidate # 7.915 * * * * [progress]: [ 97 / 147 ] simplifiying candidate # 7.915 * * * * [progress]: [ 98 / 147 ] simplifiying candidate # 7.915 * * * * [progress]: [ 99 / 147 ] simplifiying candidate # 7.915 * * * * [progress]: [ 100 / 147 ] simplifiying candidate # 7.916 * * * * [progress]: [ 101 / 147 ] simplifiying candidate # 7.916 * * * * [progress]: [ 102 / 147 ] simplifiying candidate # 7.916 * * * * [progress]: [ 103 / 147 ] simplifiying candidate # 7.916 * * * * [progress]: [ 104 / 147 ] simplifiying candidate # 7.916 * * * * [progress]: [ 105 / 147 ] simplifiying candidate # 7.916 * * * * [progress]: [ 106 / 147 ] simplifiying candidate # 7.916 * * * * [progress]: [ 107 / 147 ] simplifiying candidate # 7.916 * * * * [progress]: [ 108 / 147 ] simplifiying candidate # 7.916 * * * * [progress]: [ 109 / 147 ] simplifiying candidate # 7.916 * * * * [progress]: [ 110 / 147 ] simplifiying candidate # 7.916 * * * * [progress]: [ 111 / 147 ] simplifiying candidate # 7.916 * * * * [progress]: [ 112 / 147 ] simplifiying candidate # 7.916 * * * * [progress]: [ 113 / 147 ] simplifiying candidate # 7.916 * * * * [progress]: [ 114 / 147 ] simplifiying candidate # 7.916 * * * * [progress]: [ 115 / 147 ] simplifiying candidate # 7.916 * * * * [progress]: [ 116 / 147 ] simplifiying candidate # 7.917 * * * * [progress]: [ 117 / 147 ] simplifiying candidate # 7.917 * * * * [progress]: [ 118 / 147 ] simplifiying candidate #real (real->posit16 (/ (sqrt (+ 1 N)) N))))))> 7.917 * * * * [progress]: [ 119 / 147 ] simplifiying candidate # 7.917 * * * * [progress]: [ 120 / 147 ] simplifiying candidate # 7.917 * * * * [progress]: [ 121 / 147 ] simplifiying candidate # 7.917 * * * * [progress]: [ 122 / 147 ] simplifiying candidate # 7.917 * * * * [progress]: [ 123 / 147 ] simplifiying candidate # 7.917 * * * * [progress]: [ 124 / 147 ] simplifiying candidate # 7.917 * * * * [progress]: [ 125 / 147 ] simplifiying candidate # 7.917 * * * * [progress]: [ 126 / 147 ] simplifiying candidate # 7.917 * * * * [progress]: [ 127 / 147 ] simplifiying candidate # 7.917 * * * * [progress]: [ 128 / 147 ] simplifiying candidate # 7.917 * * * * [progress]: [ 129 / 147 ] simplifiying candidate # 7.917 * * * * [progress]: [ 130 / 147 ] simplifiying candidate # 7.917 * * * * [progress]: [ 131 / 147 ] simplifiying candidate # 7.918 * * * * [progress]: [ 132 / 147 ] simplifiying candidate # 7.918 * * * * [progress]: [ 133 / 147 ] simplifiying candidate # 7.918 * * * * [progress]: [ 134 / 147 ] simplifiying candidate # 7.918 * * * * [progress]: [ 135 / 147 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 N)))) N))))> 7.918 * * * * [progress]: [ 136 / 147 ] simplifiying candidate # 7.918 * * * * [progress]: [ 137 / 147 ] simplifiying candidate # 7.918 * * * * [progress]: [ 138 / 147 ] simplifiying candidate # 7.918 * * * * [progress]: [ 139 / 147 ] simplifiying candidate # 7.918 * * * * [progress]: [ 140 / 147 ] simplifiying candidate # 7.918 * * * * [progress]: [ 141 / 147 ] simplifiying candidate # 7.918 * * * * [progress]: [ 142 / 147 ] simplifiying candidate # 7.918 * * * * [progress]: [ 143 / 147 ] simplifiying candidate # 7.918 * * * * [progress]: [ 144 / 147 ] simplifiying candidate # 7.918 * * * * [progress]: [ 145 / 147 ] simplifiying candidate # 7.918 * * * * [progress]: [ 146 / 147 ] simplifiying candidate # 7.918 * * * * [progress]: [ 147 / 147 ] simplifiying candidate # 7.921 * [simplify]: Simplifying: (log (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N))))) (log (cbrt (sqrt (+ 1 N)))) (log (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (log (sqrt (cbrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt 1)) (log (sqrt (+ 1 N))) (log (sqrt 1)) (log (sqrt (+ 1 N))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log 1) (log (sqrt (+ 1 N))) (log (sqrt (+ (pow 1 3) (pow N 3)))) (log (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (log (sqrt (- (* 1 1) (* N N)))) (log (sqrt (- 1 N))) (log (+ 1 N)) (log (sqrt (+ 1 N))) (log (+ 1 N)) (log (log (sqrt (+ 1 N)))) (exp (log (sqrt (+ 1 N)))) (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (* (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (real->posit16 (log (sqrt (+ 1 N)))) (* (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N)) (log (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (exp (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (* (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))) (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (* (* (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (sqrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (sqrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (+ (pow (log (sqrt (+ 1 N))) 3) (pow (log (/ (sqrt (+ 1 N)) N)) 3)) (+ (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (- (* (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N))) (* (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))) (- (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (* (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N)))) (- (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (* (cbrt (/ (sqrt (+ 1 N)) N)) (cbrt (/ (sqrt (+ 1 N)) N))))) (+ (log (sqrt (+ 1 N))) (log (sqrt (/ (sqrt (+ 1 N)) N)))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt N)))) (+ 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1/2 (sqrt (sqrt (+ N 1))) (sqrt (sqrt (+ N 1))) (real->posit16 (sqrt (+ N 1))) (+ (* N (+ (* (* N N) 1/6) 1/2)) (* -1/4 (* N N))) (+ (/ +nan.0 N) (- (log +nan.0) (/ (/ +nan.0 N) N))) (+ (/ +nan.0 N) (- (log +nan.0) (/ (/ +nan.0 N) N))) (- (- N (log N)) (* 1/2 (* N N))) (- (- (+ (log (- +nan.0)) (log +nan.0)) (log N)) (- (/ (/ +nan.0 N) N) (/ +nan.0 N))) (+ (log (- +nan.0)) (+ (log (/ -1 N)) (+ (/ +nan.0 N) (- (log +nan.0) (/ (/ +nan.0 N) N))))) (- (+ (/ 1 N) 1/2) (* 1/8 N)) (- (+ (- (/ (/ +nan.0 N) N)) (/ (/ +nan.0 N) (* N N))) (/ +nan.0 N)) (- (+ (- (/ (/ +nan.0 N) N)) (/ (/ +nan.0 N) (* N N))) (/ +nan.0 N)) (+ (* (* N N) -1/8) (+ (* 1/2 N) 1)) (- (- (/ +nan.0 N) (/ (/ +nan.0 N) N)) +nan.0) (- (- (/ +nan.0 N) (/ (/ +nan.0 N) N)) +nan.0) 10.690 * * * [progress]: adding candidates to table 11.308 * [progress]: [Phase 3 of 3] Extracting. 11.308 * * [regime]: Finding splitpoints for: (# # #) 11.311 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.311 * * * * [regimes]: Trying to branch on N from (# # #) 11.362 * * * [regime]: Found split indices: #