21.376 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.067 * * * [progress]: [2/2] Setting up program. 0.071 * [progress]: [Phase 2 of 3] Improving. 0.071 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.072 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.072 * * [simplify]: iteration 0: 6 enodes 0.074 * * [simplify]: iteration 1: 11 enodes 0.076 * * [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 0.080 * * [simplify]: Extracting #4: cost 0 inf + 560 0.080 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.081 * * [progress]: iteration 1 / 4 0.081 * * * [progress]: picking best candidate 0.086 * * * * [pick]: Picked # 0.086 * * * [progress]: localizing error 0.135 * * * [progress]: generating rewritten candidates 0.135 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.152 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.159 * * * [progress]: generating series expansions 0.159 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.159 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.159 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.159 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.159 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.159 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.159 * [taylor]: Taking taylor expansion of N in N 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [taylor]: Taking taylor expansion of 1 in N 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (+ 0 1) into 1 0.161 * [backup-simplify]: Simplify (log 1) into 0 0.161 * [taylor]: Taking taylor expansion of (log N) in N 0.161 * [taylor]: Taking taylor expansion of N in N 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (log 1) into 0 0.161 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.161 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.162 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.162 * [taylor]: Taking taylor expansion of N in N 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [taylor]: Taking taylor expansion of 1 in N 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (+ 0 1) into 1 0.162 * [backup-simplify]: Simplify (log 1) into 0 0.163 * [taylor]: Taking taylor expansion of (log N) in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (log 1) into 0 0.164 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.164 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.164 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.164 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.165 * [backup-simplify]: Simplify (+ 1 0) into 1 0.166 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.167 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.168 * [backup-simplify]: Simplify (- 0) into 0 0.168 * [backup-simplify]: Simplify (+ 1 0) into 1 0.168 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.175 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.176 * [backup-simplify]: Simplify (- 0) into 0 0.176 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.176 * [backup-simplify]: Simplify -1/2 into -1/2 0.176 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.177 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.177 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.177 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.177 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [taylor]: Taking taylor expansion of 1 in N 0.177 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (+ 1 0) into 1 0.179 * [backup-simplify]: Simplify (log 1) into 0 0.179 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.179 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.179 * [taylor]: Taking taylor expansion of N in N 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [backup-simplify]: Simplify (log 1) into 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 0.180 * [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 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [backup-simplify]: Simplify (log 1) into 0 0.182 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.183 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.183 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.183 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (+ 0 1) into 1 0.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.192 * [backup-simplify]: Simplify (- 0) into 0 0.192 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.192 * [backup-simplify]: Simplify -1/2 into -1/2 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [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 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [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 0.200 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.200 * [backup-simplify]: Simplify 1/3 into 1/3 0.200 * [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)))) 0.200 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.200 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.200 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.200 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.200 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.200 * [taylor]: Taking taylor expansion of 1 in N 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.200 * [taylor]: Taking taylor expansion of N in N 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [backup-simplify]: Simplify (- 1) into -1 0.201 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.202 * [backup-simplify]: Simplify (log -1) into (log -1) 0.202 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.202 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.202 * [taylor]: Taking taylor expansion of -1 in N 0.202 * [backup-simplify]: Simplify -1 into -1 0.202 * [taylor]: Taking taylor expansion of N in N 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (/ -1 1) into -1 0.202 * [backup-simplify]: Simplify (log -1) into (log -1) 0.202 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.202 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.202 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.202 * [taylor]: Taking taylor expansion of 1 in N 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.202 * [taylor]: Taking taylor expansion of N in N 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [backup-simplify]: Simplify (- 1) into -1 0.203 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.203 * [backup-simplify]: Simplify (log -1) into (log -1) 0.203 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.204 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.204 * [taylor]: Taking taylor expansion of -1 in N 0.204 * [backup-simplify]: Simplify -1 into -1 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (/ -1 1) into -1 0.204 * [backup-simplify]: Simplify (log -1) into (log -1) 0.205 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.205 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.206 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.206 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (- 0) into 0 0.207 * [backup-simplify]: Simplify (+ 1 0) into 1 0.208 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.210 * [backup-simplify]: Simplify (- 0) into 0 0.210 * [backup-simplify]: Simplify (+ -1 0) into -1 0.210 * [backup-simplify]: Simplify -1 into -1 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (- 0) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.215 * [backup-simplify]: Simplify (- 0) into 0 0.215 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.215 * [backup-simplify]: Simplify -1/2 into -1/2 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [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 0.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.228 * [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 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.230 * [backup-simplify]: Simplify -1/3 into -1/3 0.230 * [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)))) 0.230 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.231 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.231 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.231 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.231 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.231 * [taylor]: Taking taylor expansion of N in N 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of 1 in N 0.231 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (+ 0 1) into 1 0.232 * [backup-simplify]: Simplify (log 1) into 0 0.232 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.232 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.232 * [taylor]: Taking taylor expansion of N in N 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [taylor]: Taking taylor expansion of 1 in N 0.232 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (+ 0 1) into 1 0.233 * [backup-simplify]: Simplify (log 1) into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (+ 1 0) into 1 0.235 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.235 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.245 * [backup-simplify]: Simplify -1/2 into -1/2 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [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 0.248 * [backup-simplify]: Simplify 1/3 into 1/3 0.248 * [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))) 0.248 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.248 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.248 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.248 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.248 * [taylor]: Taking taylor expansion of N in N 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (/ 1 1) into 1 0.249 * [taylor]: Taking taylor expansion of 1 in N 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (+ 1 0) into 1 0.249 * [backup-simplify]: Simplify (log 1) into 0 0.249 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.249 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.249 * [taylor]: Taking taylor expansion of N in N 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (/ 1 1) into 1 0.250 * [taylor]: Taking taylor expansion of 1 in N 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (+ 1 0) into 1 0.250 * [backup-simplify]: Simplify (log 1) into 0 0.251 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.251 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (+ 0 1) into 1 0.252 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.252 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.254 * [backup-simplify]: Simplify -1/2 into -1/2 0.254 * [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)))) 0.255 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.255 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.255 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.255 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.255 * [taylor]: Taking taylor expansion of 1 in N 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.255 * [taylor]: Taking taylor expansion of N in N 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [backup-simplify]: Simplify (- 1) into -1 0.256 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.256 * [backup-simplify]: Simplify (log -1) into (log -1) 0.256 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.256 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.256 * [taylor]: Taking taylor expansion of 1 in N 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.256 * [taylor]: Taking taylor expansion of N in N 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [backup-simplify]: Simplify (- 1) into -1 0.257 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.257 * [backup-simplify]: Simplify (log -1) into (log -1) 0.257 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.258 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ 1 0) into 1 0.259 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.259 * [backup-simplify]: Simplify -1 into -1 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.262 * [backup-simplify]: Simplify -1/2 into -1/2 0.262 * [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)))) 0.262 * * * [progress]: simplifying candidates 0.262 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 16 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 27 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.263 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.263 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.264 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.264 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.264 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.264 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.264 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.264 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.264 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.264 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.264 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.264 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.264 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.264 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.264 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.264 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.264 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.264 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.264 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.264 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.264 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.264 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.265 * [simplify]: Simplifying: (/ (+ N 1) N) (log (- (log (+ N 1)) (log N))) (exp (- (log (+ N 1)) (log N))) (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) (cbrt (- (log (+ N 1)) (log N))) (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (- (pow (log (+ N 1)) 3) (pow (log N) 3)) (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N)))) (- (log N)) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (+ (log (+ N 1)) (log N)) (+ (sqrt (log (+ N 1))) (sqrt (log N))) (- (sqrt (log (+ N 1))) (sqrt (log N))) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1)) (log (sqrt N))) (- (log (+ N 1)) (log 1)) (- (log (cbrt (+ N 1))) (log N)) (- (log (sqrt (+ N 1))) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)) (+ (log (- N 1)) (log N)) (- (log N)) (real->posit16 (- (log (+ N 1)) (log N))) (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) (log 1) (log (+ N 1)) (log 1) (log (+ N 1)) (log (+ (pow N 3) (pow 1 3))) (log (+ (* N N) (- (* 1 1) (* N 1)))) (log (- (* N N) (* 1 1))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (exp (log (+ N 1))) (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (real->posit16 (log (+ N 1))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.265 * * [simplify]: iteration 0: 97 enodes 0.287 * * [simplify]: iteration 1: 199 enodes 0.341 * * [simplify]: iteration 2: 463 enodes 0.538 * * [simplify]: iteration 3: 1350 enodes 1.459 * * [simplify]: iteration 4: 3864 enodes 2.405 * * [simplify]: iteration complete: 5000 enodes 2.405 * * [simplify]: Extracting #0: cost 41 inf + 0 2.406 * * [simplify]: Extracting #1: cost 269 inf + 1 2.411 * * [simplify]: Extracting #2: cost 697 inf + 1583 2.422 * * [simplify]: Extracting #3: cost 740 inf + 22713 2.454 * * [simplify]: Extracting #4: cost 379 inf + 101877 2.494 * * [simplify]: Extracting #5: cost 193 inf + 183061 2.540 * * [simplify]: Extracting #6: cost 32 inf + 221917 2.597 * * [simplify]: Extracting #7: cost 0 inf + 231379 2.632 * [simplify]: Simplified to: (/ (+ 1 N) N) (log (- (log (+ 1 N)) (log N))) (/ (+ 1 N) N) (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))) (cbrt (- (log (+ 1 N)) (log N))) (* (* (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N))) (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (- (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (* (* (log N) (log N)) (log N))) (+ (* (log (+ 1 N)) (+ (log (+ 1 N)) (log N))) (* (log N) (log N))) (- (log N)) (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) (+ (log N) (log (+ 1 N))) (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) (- (sqrt (log (+ 1 N))) (sqrt (log N))) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (- (log (+ 1 N)) (log (cbrt N))) (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 (+ (- 1 N) (* N N))) (log N)) (+ (log N) (log (- N 1))) (- (log N)) (real->posit16 (- (log (+ 1 N)) (log N))) (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (log (cbrt (+ 1 N))) (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) 0 (log (+ 1 N)) 0 (log (+ 1 N)) (log (+ 1 (* N (* N N)))) (log (+ (- 1 N) (* N N))) (log (+ -1 (* N N))) (log (- N 1)) (log (+ 1 N)) (log (log (+ 1 N))) (+ 1 N) (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) (cbrt (log (+ 1 N))) (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N))) (real->posit16 (log (+ 1 N))) (+ (- N (log N)) (* -1/2 (* N N))) (+ (/ 1 N) (/ (+ (/ 1/3 N) -1/2) (* N N))) (+ (/ 1 N) (/ (+ (/ 1/3 N) -1/2) (* N N))) (+ (* (+ (* 1/3 N) -1/2) (* N N)) N) (+ (+ (log N) (/ 1 N)) (/ -1/2 (* N N))) (+ (+ (log N) (/ 1 N)) (/ -1/2 (* N N))) 2.636 * * * [progress]: adding candidates to table 2.818 * * [progress]: iteration 2 / 4 2.818 * * * [progress]: picking best candidate 2.829 * * * * [pick]: Picked # 2.829 * * * [progress]: localizing error 2.838 * * * [progress]: generating rewritten candidates 2.838 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.841 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.856 * * * [progress]: generating series expansions 2.856 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.856 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 2.856 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 2.856 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.856 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.856 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.856 * [taylor]: Taking taylor expansion of N in N 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 1 into 1 2.856 * [taylor]: Taking taylor expansion of 1 in N 2.856 * [backup-simplify]: Simplify 1 into 1 2.856 * [taylor]: Taking taylor expansion of N in N 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 1 into 1 2.857 * [backup-simplify]: Simplify (+ 0 1) into 1 2.858 * [backup-simplify]: Simplify (/ 1 1) into 1 2.862 * [backup-simplify]: Simplify (log 1) into 0 2.862 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.862 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.862 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.862 * [taylor]: Taking taylor expansion of N in N 2.862 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify 1 into 1 2.863 * [taylor]: Taking taylor expansion of 1 in N 2.863 * [backup-simplify]: Simplify 1 into 1 2.863 * [taylor]: Taking taylor expansion of N in N 2.863 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify 1 into 1 2.863 * [backup-simplify]: Simplify (+ 0 1) into 1 2.863 * [backup-simplify]: Simplify (/ 1 1) into 1 2.864 * [backup-simplify]: Simplify (log 1) into 0 2.865 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.865 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.865 * [backup-simplify]: Simplify (+ 1 0) into 1 2.866 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.867 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.867 * [backup-simplify]: Simplify 1 into 1 2.868 * [backup-simplify]: Simplify (+ 0 0) into 0 2.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.871 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.871 * [backup-simplify]: Simplify -1/2 into -1/2 2.871 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 2.872 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 2.872 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 2.872 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.872 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.872 * [taylor]: Taking taylor expansion of N in N 2.872 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify 1 into 1 2.872 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.872 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.872 * [taylor]: Taking taylor expansion of N in N 2.872 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify 1 into 1 2.872 * [backup-simplify]: Simplify (/ 1 1) into 1 2.872 * [taylor]: Taking taylor expansion of 1 in N 2.872 * [backup-simplify]: Simplify 1 into 1 2.873 * [backup-simplify]: Simplify (+ 1 0) into 1 2.873 * [backup-simplify]: Simplify (* 0 1) into 0 2.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.874 * [backup-simplify]: Simplify (+ 0 1) into 1 2.875 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.875 * [backup-simplify]: Simplify (log 1) into 0 2.875 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.875 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.875 * [taylor]: Taking taylor expansion of N in N 2.875 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify 1 into 1 2.876 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.876 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.876 * [taylor]: Taking taylor expansion of N in N 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify 1 into 1 2.876 * [backup-simplify]: Simplify (/ 1 1) into 1 2.876 * [taylor]: Taking taylor expansion of 1 in N 2.876 * [backup-simplify]: Simplify 1 into 1 2.876 * [backup-simplify]: Simplify (+ 1 0) into 1 2.877 * [backup-simplify]: Simplify (* 0 1) into 0 2.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.878 * [backup-simplify]: Simplify (+ 0 1) into 1 2.879 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.879 * [backup-simplify]: Simplify (log 1) into 0 2.879 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.880 * [backup-simplify]: Simplify (+ 0 0) into 0 2.881 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.883 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.883 * [backup-simplify]: Simplify 1 into 1 2.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.884 * [backup-simplify]: Simplify (+ 0 0) into 0 2.885 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.888 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.888 * [backup-simplify]: Simplify -1/2 into -1/2 2.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.889 * [backup-simplify]: Simplify (+ 0 0) into 0 2.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.896 * [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 2.896 * [backup-simplify]: Simplify 1/3 into 1/3 2.896 * [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)))) 2.897 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 2.897 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 2.897 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.897 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.897 * [taylor]: Taking taylor expansion of -1 in N 2.897 * [backup-simplify]: Simplify -1 into -1 2.897 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.897 * [taylor]: Taking taylor expansion of N in N 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 1 into 1 2.897 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.897 * [taylor]: Taking taylor expansion of 1 in N 2.897 * [backup-simplify]: Simplify 1 into 1 2.897 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.897 * [taylor]: Taking taylor expansion of N in N 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 1 into 1 2.898 * [backup-simplify]: Simplify (/ 1 1) into 1 2.898 * [backup-simplify]: Simplify (- 1) into -1 2.898 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.898 * [backup-simplify]: Simplify (* 0 -1) into 0 2.899 * [backup-simplify]: Simplify (* -1 0) into 0 2.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.899 * [backup-simplify]: Simplify (- 0) into 0 2.900 * [backup-simplify]: Simplify (+ 1 0) into 1 2.900 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.901 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.901 * [backup-simplify]: Simplify (log 1) into 0 2.901 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.901 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.901 * [taylor]: Taking taylor expansion of -1 in N 2.901 * [backup-simplify]: Simplify -1 into -1 2.901 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.901 * [taylor]: Taking taylor expansion of N in N 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.901 * [taylor]: Taking taylor expansion of 1 in N 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.901 * [taylor]: Taking taylor expansion of N in N 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.902 * [backup-simplify]: Simplify (/ 1 1) into 1 2.902 * [backup-simplify]: Simplify (- 1) into -1 2.902 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.903 * [backup-simplify]: Simplify (* 0 -1) into 0 2.903 * [backup-simplify]: Simplify (* -1 0) into 0 2.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.904 * [backup-simplify]: Simplify (- 0) into 0 2.904 * [backup-simplify]: Simplify (+ 1 0) into 1 2.904 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.905 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.905 * [backup-simplify]: Simplify (log 1) into 0 2.905 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.906 * [backup-simplify]: Simplify (- 0) into 0 2.906 * [backup-simplify]: Simplify (+ 0 0) into 0 2.907 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.907 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 2.908 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.908 * [backup-simplify]: Simplify -1 into -1 2.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.909 * [backup-simplify]: Simplify (- 0) into 0 2.909 * [backup-simplify]: Simplify (+ 0 0) into 0 2.910 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.911 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 2.912 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.912 * [backup-simplify]: Simplify -1/2 into -1/2 2.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (- 0) into 0 2.913 * [backup-simplify]: Simplify (+ 0 0) into 0 2.914 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.915 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 2.918 * [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 2.918 * [backup-simplify]: Simplify -1/3 into -1/3 2.918 * [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)))) 2.918 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.918 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 2.918 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 2.918 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.918 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.918 * [taylor]: Taking taylor expansion of N in N 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 1 into 1 2.918 * [taylor]: Taking taylor expansion of 1 in N 2.918 * [backup-simplify]: Simplify 1 into 1 2.918 * [taylor]: Taking taylor expansion of N in N 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 1 into 1 2.919 * [backup-simplify]: Simplify (+ 0 1) into 1 2.919 * [backup-simplify]: Simplify (/ 1 1) into 1 2.919 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.919 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.919 * [taylor]: Taking taylor expansion of N in N 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 1 into 1 2.919 * [taylor]: Taking taylor expansion of 1 in N 2.919 * [backup-simplify]: Simplify 1 into 1 2.919 * [taylor]: Taking taylor expansion of N in N 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 1 into 1 2.919 * [backup-simplify]: Simplify (+ 0 1) into 1 2.920 * [backup-simplify]: Simplify (/ 1 1) into 1 2.920 * [backup-simplify]: Simplify 1 into 1 2.920 * [backup-simplify]: Simplify (+ 1 0) into 1 2.920 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.920 * [backup-simplify]: Simplify 1 into 1 2.921 * [backup-simplify]: Simplify (+ 0 0) into 0 2.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify (+ 0 0) into 0 2.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify (+ 0 0) into 0 2.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify (+ 0 0) into 0 2.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify (+ 0 0) into 0 2.925 * [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 2.925 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify (+ 0 0) into 0 2.925 * [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 2.925 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 2.926 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 2.926 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 2.926 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.926 * [taylor]: Taking taylor expansion of N in N 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 1 into 1 2.926 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.926 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.926 * [taylor]: Taking taylor expansion of N in N 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 1 into 1 2.926 * [backup-simplify]: Simplify (/ 1 1) into 1 2.926 * [taylor]: Taking taylor expansion of 1 in N 2.926 * [backup-simplify]: Simplify 1 into 1 2.926 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.926 * [taylor]: Taking taylor expansion of N in N 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 1 into 1 2.926 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.926 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.926 * [taylor]: Taking taylor expansion of N in N 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 1 into 1 2.926 * [backup-simplify]: Simplify (/ 1 1) into 1 2.926 * [taylor]: Taking taylor expansion of 1 in N 2.926 * [backup-simplify]: Simplify 1 into 1 2.927 * [backup-simplify]: Simplify (+ 1 0) into 1 2.927 * [backup-simplify]: Simplify (* 0 1) into 0 2.927 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify (+ 0 1) into 1 2.928 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.928 * [backup-simplify]: Simplify 1 into 1 2.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.929 * [backup-simplify]: Simplify (+ 0 0) into 0 2.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.930 * [backup-simplify]: Simplify 1 into 1 2.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.931 * [backup-simplify]: Simplify (+ 0 0) into 0 2.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.932 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.933 * [backup-simplify]: Simplify (+ 0 0) into 0 2.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.934 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.936 * [backup-simplify]: Simplify (+ 0 0) into 0 2.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 2.937 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.938 * [backup-simplify]: Simplify (+ 0 0) into 0 2.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 2.940 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.941 * [backup-simplify]: Simplify (+ 0 0) into 0 2.943 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.944 * [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 2.944 * [backup-simplify]: Simplify (+ 0 0) into 0 2.946 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 2.947 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 2.947 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 2.947 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.947 * [taylor]: Taking taylor expansion of -1 in N 2.947 * [backup-simplify]: Simplify -1 into -1 2.947 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.947 * [taylor]: Taking taylor expansion of N in N 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 1 into 1 2.947 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.947 * [taylor]: Taking taylor expansion of 1 in N 2.947 * [backup-simplify]: Simplify 1 into 1 2.947 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.947 * [taylor]: Taking taylor expansion of N in N 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 1 into 1 2.947 * [backup-simplify]: Simplify (/ 1 1) into 1 2.947 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.947 * [taylor]: Taking taylor expansion of -1 in N 2.947 * [backup-simplify]: Simplify -1 into -1 2.948 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.948 * [taylor]: Taking taylor expansion of N in N 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify 1 into 1 2.948 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.948 * [taylor]: Taking taylor expansion of 1 in N 2.948 * [backup-simplify]: Simplify 1 into 1 2.948 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.948 * [taylor]: Taking taylor expansion of N in N 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify 1 into 1 2.948 * [backup-simplify]: Simplify (/ 1 1) into 1 2.949 * [backup-simplify]: Simplify (- 1) into -1 2.949 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.949 * [backup-simplify]: Simplify (* 0 -1) into 0 2.950 * [backup-simplify]: Simplify (* -1 0) into 0 2.950 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.951 * [backup-simplify]: Simplify (- 0) into 0 2.951 * [backup-simplify]: Simplify (+ 1 0) into 1 2.952 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.953 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.953 * [backup-simplify]: Simplify 1 into 1 2.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.954 * [backup-simplify]: Simplify (- 0) into 0 2.955 * [backup-simplify]: Simplify (+ 0 0) into 0 2.956 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.957 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 2.957 * [backup-simplify]: Simplify -1 into -1 2.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.958 * [backup-simplify]: Simplify (- 0) into 0 2.959 * [backup-simplify]: Simplify (+ 0 0) into 0 2.960 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.961 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 2.961 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.963 * [backup-simplify]: Simplify (- 0) into 0 2.963 * [backup-simplify]: Simplify (+ 0 0) into 0 2.964 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.966 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 2.966 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.967 * [backup-simplify]: Simplify (- 0) into 0 2.968 * [backup-simplify]: Simplify (+ 0 0) into 0 2.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 2.971 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.972 * [backup-simplify]: Simplify (- 0) into 0 2.973 * [backup-simplify]: Simplify (+ 0 0) into 0 2.974 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 2.975 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 2.975 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.976 * [backup-simplify]: Simplify (- 0) into 0 2.976 * [backup-simplify]: Simplify (+ 0 0) into 0 2.977 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 2.979 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [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 2.984 * [backup-simplify]: Simplify (- 0) into 0 2.984 * [backup-simplify]: Simplify (+ 0 0) into 0 2.986 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 2.987 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 2.987 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 2.987 * * * [progress]: simplifying candidates 2.987 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 2.987 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 2.987 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 2.987 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 2.987 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 2.987 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 2.987 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 2.987 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 2.987 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 2.987 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 2.987 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 2.988 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 2.988 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 2.989 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 2.989 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 2.990 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 2.990 * [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) 2.991 * * [simplify]: iteration 0: 102 enodes 3.015 * * [simplify]: iteration 1: 233 enodes 3.081 * * [simplify]: iteration 2: 578 enodes 3.350 * * [simplify]: iteration 3: 2187 enodes 3.935 * * [simplify]: iteration complete: 5300 enodes 3.935 * * [simplify]: Extracting #0: cost 65 inf + 0 3.936 * * [simplify]: Extracting #1: cost 756 inf + 2 3.944 * * [simplify]: Extracting #2: cost 1734 inf + 5433 3.974 * * [simplify]: Extracting #3: cost 1883 inf + 94408 4.051 * * [simplify]: Extracting #4: cost 861 inf + 336335 4.120 * * [simplify]: Extracting #5: cost 122 inf + 569476 4.204 * * [simplify]: Extracting #6: cost 0 inf + 608229 4.303 * [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) 4.307 * * * [progress]: adding candidates to table 4.549 * * [progress]: iteration 3 / 4 4.549 * * * [progress]: picking best candidate 4.562 * * * * [pick]: Picked # 4.563 * * * [progress]: localizing error 4.598 * * * [progress]: generating rewritten candidates 4.598 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.605 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.612 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 4.622 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 4.636 * * * [progress]: generating series expansions 4.636 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.636 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 4.636 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 4.636 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 4.636 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 4.636 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.636 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.636 * [taylor]: Taking taylor expansion of N in N 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 1 into 1 4.636 * [taylor]: Taking taylor expansion of 1 in N 4.636 * [backup-simplify]: Simplify 1 into 1 4.636 * [taylor]: Taking taylor expansion of N in N 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 1 into 1 4.637 * [backup-simplify]: Simplify (+ 0 1) into 1 4.637 * [backup-simplify]: Simplify (/ 1 1) into 1 4.638 * [backup-simplify]: Simplify (sqrt 0) into 0 4.640 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.640 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.640 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 4.640 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 4.640 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.640 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.640 * [taylor]: Taking taylor expansion of N in N 4.640 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify 1 into 1 4.641 * [taylor]: Taking taylor expansion of 1 in N 4.641 * [backup-simplify]: Simplify 1 into 1 4.641 * [taylor]: Taking taylor expansion of N in N 4.641 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify 1 into 1 4.641 * [backup-simplify]: Simplify (+ 0 1) into 1 4.641 * [backup-simplify]: Simplify (/ 1 1) into 1 4.642 * [backup-simplify]: Simplify (sqrt 0) into 0 4.643 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.644 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.644 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.645 * [backup-simplify]: Simplify (+ 1 0) into 1 4.646 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 4.649 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.655 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.656 * [backup-simplify]: Simplify (+ 0 0) into 0 4.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.661 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.675 * [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 4.675 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.675 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 4.676 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 4.676 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 4.676 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 4.676 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 4.676 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.676 * [taylor]: Taking taylor expansion of N in N 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 1 into 1 4.676 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.676 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.676 * [taylor]: Taking taylor expansion of N in N 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 1 into 1 4.676 * [backup-simplify]: Simplify (/ 1 1) into 1 4.676 * [taylor]: Taking taylor expansion of 1 in N 4.676 * [backup-simplify]: Simplify 1 into 1 4.677 * [backup-simplify]: Simplify (+ 1 0) into 1 4.677 * [backup-simplify]: Simplify (* 0 1) into 0 4.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.678 * [backup-simplify]: Simplify (+ 0 1) into 1 4.679 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.679 * [backup-simplify]: Simplify (sqrt 1) into 1 4.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.681 * [backup-simplify]: Simplify (+ 0 0) into 0 4.682 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 4.682 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.683 * [backup-simplify]: Simplify (log 1) into 0 4.683 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 4.683 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 4.683 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.683 * [taylor]: Taking taylor expansion of N in N 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 1 into 1 4.683 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.683 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.683 * [taylor]: Taking taylor expansion of N in N 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 1 into 1 4.683 * [backup-simplify]: Simplify (/ 1 1) into 1 4.683 * [taylor]: Taking taylor expansion of 1 in N 4.683 * [backup-simplify]: Simplify 1 into 1 4.684 * [backup-simplify]: Simplify (+ 1 0) into 1 4.684 * [backup-simplify]: Simplify (* 0 1) into 0 4.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.685 * [backup-simplify]: Simplify (+ 0 1) into 1 4.686 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.686 * [backup-simplify]: Simplify (sqrt 1) into 1 4.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.688 * [backup-simplify]: Simplify (+ 0 0) into 0 4.689 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 4.689 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.690 * [backup-simplify]: Simplify (log 1) into 0 4.690 * [backup-simplify]: Simplify 0 into 0 4.691 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 4.691 * [backup-simplify]: Simplify 1/2 into 1/2 4.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.693 * [backup-simplify]: Simplify (+ 0 0) into 0 4.694 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 4.695 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 4.698 * [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 4.698 * [backup-simplify]: Simplify -1/4 into -1/4 4.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.699 * [backup-simplify]: Simplify (+ 0 0) into 0 4.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 4.702 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 4.708 * [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 4.708 * [backup-simplify]: Simplify 1/6 into 1/6 4.708 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 4.709 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 4.709 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 4.709 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 4.709 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 4.709 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.709 * [taylor]: Taking taylor expansion of -1 in N 4.709 * [backup-simplify]: Simplify -1 into -1 4.709 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.709 * [taylor]: Taking taylor expansion of N in N 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify 1 into 1 4.709 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.709 * [taylor]: Taking taylor expansion of 1 in N 4.709 * [backup-simplify]: Simplify 1 into 1 4.709 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.709 * [taylor]: Taking taylor expansion of N in N 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify 1 into 1 4.710 * [backup-simplify]: Simplify (/ 1 1) into 1 4.710 * [backup-simplify]: Simplify (- 1) into -1 4.710 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.711 * [backup-simplify]: Simplify (* 0 -1) into 0 4.711 * [backup-simplify]: Simplify (* -1 0) into 0 4.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.719 * [backup-simplify]: Simplify (- 0) into 0 4.720 * [backup-simplify]: Simplify (+ 1 0) into 1 4.721 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 4.721 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.722 * [backup-simplify]: Simplify (sqrt 1) into 1 4.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.723 * [backup-simplify]: Simplify (- 0) into 0 4.723 * [backup-simplify]: Simplify (+ 0 0) into 0 4.725 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 4.726 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 4.726 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 4.727 * [backup-simplify]: Simplify (log 1) into 0 4.727 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 4.727 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 4.727 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.727 * [taylor]: Taking taylor expansion of -1 in N 4.727 * [backup-simplify]: Simplify -1 into -1 4.727 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.727 * [taylor]: Taking taylor expansion of N in N 4.727 * [backup-simplify]: Simplify 0 into 0 4.727 * [backup-simplify]: Simplify 1 into 1 4.727 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.727 * [taylor]: Taking taylor expansion of 1 in N 4.727 * [backup-simplify]: Simplify 1 into 1 4.727 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.727 * [taylor]: Taking taylor expansion of N in N 4.727 * [backup-simplify]: Simplify 0 into 0 4.727 * [backup-simplify]: Simplify 1 into 1 4.727 * [backup-simplify]: Simplify (/ 1 1) into 1 4.728 * [backup-simplify]: Simplify (- 1) into -1 4.728 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.729 * [backup-simplify]: Simplify (* 0 -1) into 0 4.729 * [backup-simplify]: Simplify (* -1 0) into 0 4.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.730 * [backup-simplify]: Simplify (- 0) into 0 4.731 * [backup-simplify]: Simplify (+ 1 0) into 1 4.732 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 4.732 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.733 * [backup-simplify]: Simplify (sqrt 1) into 1 4.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.734 * [backup-simplify]: Simplify (- 0) into 0 4.734 * [backup-simplify]: Simplify (+ 0 0) into 0 4.735 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 4.736 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 4.737 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 4.737 * [backup-simplify]: Simplify (log 1) into 0 4.738 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 4.739 * [backup-simplify]: Simplify -1/2 into -1/2 4.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.740 * [backup-simplify]: Simplify (- 0) into 0 4.741 * [backup-simplify]: Simplify (+ 0 0) into 0 4.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 4.743 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 4.744 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 4.748 * [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 4.748 * [backup-simplify]: Simplify -1/4 into -1/4 4.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.749 * [backup-simplify]: Simplify (- 0) into 0 4.750 * [backup-simplify]: Simplify (+ 0 0) into 0 4.751 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 4.753 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 4.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 4.761 * [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 4.761 * [backup-simplify]: Simplify -1/6 into -1/6 4.762 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 4.762 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.762 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 4.762 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 4.762 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 4.762 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 4.762 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.762 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.762 * [taylor]: Taking taylor expansion of N in N 4.762 * [backup-simplify]: Simplify 0 into 0 4.762 * [backup-simplify]: Simplify 1 into 1 4.762 * [taylor]: Taking taylor expansion of 1 in N 4.762 * [backup-simplify]: Simplify 1 into 1 4.762 * [taylor]: Taking taylor expansion of N in N 4.762 * [backup-simplify]: Simplify 0 into 0 4.762 * [backup-simplify]: Simplify 1 into 1 4.763 * [backup-simplify]: Simplify (+ 0 1) into 1 4.763 * [backup-simplify]: Simplify (/ 1 1) into 1 4.764 * [backup-simplify]: Simplify (sqrt 0) into 0 4.765 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.766 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.766 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 4.766 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 4.766 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.766 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.766 * [taylor]: Taking taylor expansion of N in N 4.766 * [backup-simplify]: Simplify 0 into 0 4.766 * [backup-simplify]: Simplify 1 into 1 4.766 * [taylor]: Taking taylor expansion of 1 in N 4.766 * [backup-simplify]: Simplify 1 into 1 4.766 * [taylor]: Taking taylor expansion of N in N 4.766 * [backup-simplify]: Simplify 0 into 0 4.766 * [backup-simplify]: Simplify 1 into 1 4.767 * [backup-simplify]: Simplify (+ 0 1) into 1 4.767 * [backup-simplify]: Simplify (/ 1 1) into 1 4.767 * [backup-simplify]: Simplify (sqrt 0) into 0 4.769 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.769 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.770 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.770 * [backup-simplify]: Simplify (+ 1 0) into 1 4.771 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 4.775 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.781 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.782 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.782 * [backup-simplify]: Simplify (+ 0 0) into 0 4.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.802 * [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 4.802 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.802 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 4.803 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 4.803 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 4.803 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 4.803 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 4.803 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.803 * [taylor]: Taking taylor expansion of N in N 4.803 * [backup-simplify]: Simplify 0 into 0 4.803 * [backup-simplify]: Simplify 1 into 1 4.803 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.803 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.803 * [taylor]: Taking taylor expansion of N in N 4.803 * [backup-simplify]: Simplify 0 into 0 4.803 * [backup-simplify]: Simplify 1 into 1 4.803 * [backup-simplify]: Simplify (/ 1 1) into 1 4.803 * [taylor]: Taking taylor expansion of 1 in N 4.804 * [backup-simplify]: Simplify 1 into 1 4.804 * [backup-simplify]: Simplify (+ 1 0) into 1 4.804 * [backup-simplify]: Simplify (* 0 1) into 0 4.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.806 * [backup-simplify]: Simplify (+ 0 1) into 1 4.806 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.807 * [backup-simplify]: Simplify (sqrt 1) into 1 4.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.808 * [backup-simplify]: Simplify (+ 0 0) into 0 4.809 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 4.809 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.810 * [backup-simplify]: Simplify (log 1) into 0 4.810 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 4.810 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 4.810 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.810 * [taylor]: Taking taylor expansion of N in N 4.810 * [backup-simplify]: Simplify 0 into 0 4.810 * [backup-simplify]: Simplify 1 into 1 4.810 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.810 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.810 * [taylor]: Taking taylor expansion of N in N 4.810 * [backup-simplify]: Simplify 0 into 0 4.810 * [backup-simplify]: Simplify 1 into 1 4.810 * [backup-simplify]: Simplify (/ 1 1) into 1 4.810 * [taylor]: Taking taylor expansion of 1 in N 4.810 * [backup-simplify]: Simplify 1 into 1 4.811 * [backup-simplify]: Simplify (+ 1 0) into 1 4.811 * [backup-simplify]: Simplify (* 0 1) into 0 4.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.813 * [backup-simplify]: Simplify (+ 0 1) into 1 4.813 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.814 * [backup-simplify]: Simplify (sqrt 1) into 1 4.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.815 * [backup-simplify]: Simplify (+ 0 0) into 0 4.816 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 4.816 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.817 * [backup-simplify]: Simplify (log 1) into 0 4.817 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 4.818 * [backup-simplify]: Simplify 1/2 into 1/2 4.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.820 * [backup-simplify]: Simplify (+ 0 0) into 0 4.821 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 4.822 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 4.825 * [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 4.825 * [backup-simplify]: Simplify -1/4 into -1/4 4.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.826 * [backup-simplify]: Simplify (+ 0 0) into 0 4.828 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 4.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 4.835 * [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 4.835 * [backup-simplify]: Simplify 1/6 into 1/6 4.836 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 4.836 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 4.836 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 4.836 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 4.836 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 4.836 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.836 * [taylor]: Taking taylor expansion of -1 in N 4.836 * [backup-simplify]: Simplify -1 into -1 4.836 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.836 * [taylor]: Taking taylor expansion of N in N 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify 1 into 1 4.836 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.836 * [taylor]: Taking taylor expansion of 1 in N 4.836 * [backup-simplify]: Simplify 1 into 1 4.836 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.836 * [taylor]: Taking taylor expansion of N in N 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify 1 into 1 4.837 * [backup-simplify]: Simplify (/ 1 1) into 1 4.837 * [backup-simplify]: Simplify (- 1) into -1 4.838 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.838 * [backup-simplify]: Simplify (* 0 -1) into 0 4.839 * [backup-simplify]: Simplify (* -1 0) into 0 4.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.840 * [backup-simplify]: Simplify (- 0) into 0 4.840 * [backup-simplify]: Simplify (+ 1 0) into 1 4.841 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 4.842 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.842 * [backup-simplify]: Simplify (sqrt 1) into 1 4.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.843 * [backup-simplify]: Simplify (- 0) into 0 4.844 * [backup-simplify]: Simplify (+ 0 0) into 0 4.844 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 4.845 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 4.846 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 4.847 * [backup-simplify]: Simplify (log 1) into 0 4.847 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 4.847 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 4.847 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.847 * [taylor]: Taking taylor expansion of -1 in N 4.847 * [backup-simplify]: Simplify -1 into -1 4.847 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.847 * [taylor]: Taking taylor expansion of N in N 4.847 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify 1 into 1 4.847 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.847 * [taylor]: Taking taylor expansion of 1 in N 4.847 * [backup-simplify]: Simplify 1 into 1 4.847 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.847 * [taylor]: Taking taylor expansion of N in N 4.847 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify 1 into 1 4.847 * [backup-simplify]: Simplify (/ 1 1) into 1 4.848 * [backup-simplify]: Simplify (- 1) into -1 4.848 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.849 * [backup-simplify]: Simplify (* 0 -1) into 0 4.849 * [backup-simplify]: Simplify (* -1 0) into 0 4.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.850 * [backup-simplify]: Simplify (- 0) into 0 4.851 * [backup-simplify]: Simplify (+ 1 0) into 1 4.851 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 4.852 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.852 * [backup-simplify]: Simplify (sqrt 1) into 1 4.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.854 * [backup-simplify]: Simplify (- 0) into 0 4.854 * [backup-simplify]: Simplify (+ 0 0) into 0 4.855 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 4.856 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 4.857 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 4.858 * [backup-simplify]: Simplify (log 1) into 0 4.858 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 4.859 * [backup-simplify]: Simplify -1/2 into -1/2 4.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.859 * [backup-simplify]: Simplify (- 0) into 0 4.860 * [backup-simplify]: Simplify (+ 0 0) into 0 4.860 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 4.861 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 4.862 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 4.863 * [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 4.864 * [backup-simplify]: Simplify -1/4 into -1/4 4.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.870 * [backup-simplify]: Simplify (- 0) into 0 4.870 * [backup-simplify]: Simplify (+ 0 0) into 0 4.871 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 4.872 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 4.872 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 4.875 * [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 4.875 * [backup-simplify]: Simplify -1/6 into -1/6 4.876 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 4.876 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 4.876 * [backup-simplify]: Simplify (sqrt (/ (+ 1 N) N)) into (sqrt (/ (+ N 1) N)) 4.876 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 4.876 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 4.876 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.876 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.876 * [taylor]: Taking taylor expansion of N in N 4.876 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify 1 into 1 4.876 * [taylor]: Taking taylor expansion of 1 in N 4.876 * [backup-simplify]: Simplify 1 into 1 4.876 * [taylor]: Taking taylor expansion of N in N 4.876 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify 1 into 1 4.876 * [backup-simplify]: Simplify (+ 0 1) into 1 4.877 * [backup-simplify]: Simplify (/ 1 1) into 1 4.877 * [backup-simplify]: Simplify (sqrt 0) into 0 4.878 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.878 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 4.878 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.878 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.878 * [taylor]: Taking taylor expansion of N in N 4.878 * [backup-simplify]: Simplify 0 into 0 4.878 * [backup-simplify]: Simplify 1 into 1 4.878 * [taylor]: Taking taylor expansion of 1 in N 4.878 * [backup-simplify]: Simplify 1 into 1 4.878 * [taylor]: Taking taylor expansion of N in N 4.878 * [backup-simplify]: Simplify 0 into 0 4.878 * [backup-simplify]: Simplify 1 into 1 4.878 * [backup-simplify]: Simplify (+ 0 1) into 1 4.879 * [backup-simplify]: Simplify (/ 1 1) into 1 4.879 * [backup-simplify]: Simplify (sqrt 0) into 0 4.880 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.880 * [backup-simplify]: Simplify 0 into 0 4.880 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.880 * [backup-simplify]: Simplify (+ 1 0) into 1 4.881 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 4.882 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.882 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.883 * [backup-simplify]: Simplify (+ 0 0) into 0 4.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.886 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.887 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 4.887 * [backup-simplify]: Simplify (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 4.887 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 4.887 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 4.887 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.887 * [taylor]: Taking taylor expansion of N in N 4.887 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify 1 into 1 4.887 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.887 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.887 * [taylor]: Taking taylor expansion of N in N 4.887 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify 1 into 1 4.887 * [backup-simplify]: Simplify (/ 1 1) into 1 4.887 * [taylor]: Taking taylor expansion of 1 in N 4.887 * [backup-simplify]: Simplify 1 into 1 4.887 * [backup-simplify]: Simplify (+ 1 0) into 1 4.888 * [backup-simplify]: Simplify (* 0 1) into 0 4.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.888 * [backup-simplify]: Simplify (+ 0 1) into 1 4.889 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.889 * [backup-simplify]: Simplify (sqrt 1) into 1 4.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.890 * [backup-simplify]: Simplify (+ 0 0) into 0 4.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 4.891 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.891 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 4.891 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.891 * [taylor]: Taking taylor expansion of N in N 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify 1 into 1 4.891 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.891 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.891 * [taylor]: Taking taylor expansion of N in N 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify 1 into 1 4.891 * [backup-simplify]: Simplify (/ 1 1) into 1 4.891 * [taylor]: Taking taylor expansion of 1 in N 4.891 * [backup-simplify]: Simplify 1 into 1 4.891 * [backup-simplify]: Simplify (+ 1 0) into 1 4.892 * [backup-simplify]: Simplify (* 0 1) into 0 4.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.892 * [backup-simplify]: Simplify (+ 0 1) into 1 4.893 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.893 * [backup-simplify]: Simplify (sqrt 1) into 1 4.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.894 * [backup-simplify]: Simplify (+ 0 0) into 0 4.894 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 4.895 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.895 * [backup-simplify]: Simplify 1 into 1 4.895 * [backup-simplify]: Simplify 1/2 into 1/2 4.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.896 * [backup-simplify]: Simplify (+ 0 0) into 0 4.896 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 4.897 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 4.897 * [backup-simplify]: Simplify -1/8 into -1/8 4.897 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 4.897 * [backup-simplify]: Simplify (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 4.897 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 4.897 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 4.897 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.897 * [taylor]: Taking taylor expansion of -1 in N 4.897 * [backup-simplify]: Simplify -1 into -1 4.897 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.897 * [taylor]: Taking taylor expansion of N in N 4.897 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify 1 into 1 4.897 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.897 * [taylor]: Taking taylor expansion of 1 in N 4.897 * [backup-simplify]: Simplify 1 into 1 4.897 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.897 * [taylor]: Taking taylor expansion of N in N 4.897 * [backup-simplify]: Simplify 0 into 0 4.898 * [backup-simplify]: Simplify 1 into 1 4.898 * [backup-simplify]: Simplify (/ 1 1) into 1 4.898 * [backup-simplify]: Simplify (- 1) into -1 4.898 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.899 * [backup-simplify]: Simplify (* 0 -1) into 0 4.899 * [backup-simplify]: Simplify (* -1 0) into 0 4.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.899 * [backup-simplify]: Simplify (- 0) into 0 4.900 * [backup-simplify]: Simplify (+ 1 0) into 1 4.900 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 4.901 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.901 * [backup-simplify]: Simplify (sqrt 1) into 1 4.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.902 * [backup-simplify]: Simplify (- 0) into 0 4.902 * [backup-simplify]: Simplify (+ 0 0) into 0 4.902 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 4.903 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 4.903 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 4.903 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 4.903 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.903 * [taylor]: Taking taylor expansion of -1 in N 4.903 * [backup-simplify]: Simplify -1 into -1 4.903 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.904 * [taylor]: Taking taylor expansion of N in N 4.904 * [backup-simplify]: Simplify 0 into 0 4.904 * [backup-simplify]: Simplify 1 into 1 4.904 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.904 * [taylor]: Taking taylor expansion of 1 in N 4.904 * [backup-simplify]: Simplify 1 into 1 4.904 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.904 * [taylor]: Taking taylor expansion of N in N 4.904 * [backup-simplify]: Simplify 0 into 0 4.904 * [backup-simplify]: Simplify 1 into 1 4.904 * [backup-simplify]: Simplify (/ 1 1) into 1 4.904 * [backup-simplify]: Simplify (- 1) into -1 4.904 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.905 * [backup-simplify]: Simplify (* 0 -1) into 0 4.905 * [backup-simplify]: Simplify (* -1 0) into 0 4.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.906 * [backup-simplify]: Simplify (- 0) into 0 4.906 * [backup-simplify]: Simplify (+ 1 0) into 1 4.906 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 4.907 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.907 * [backup-simplify]: Simplify (sqrt 1) into 1 4.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.908 * [backup-simplify]: Simplify (- 0) into 0 4.908 * [backup-simplify]: Simplify (+ 0 0) into 0 4.909 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 4.909 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 4.910 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 4.910 * [backup-simplify]: Simplify 1 into 1 4.910 * [backup-simplify]: Simplify -1/2 into -1/2 4.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.911 * [backup-simplify]: Simplify (- 0) into 0 4.911 * [backup-simplify]: Simplify (+ 0 0) into 0 4.911 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 4.912 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 4.913 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 4.913 * [backup-simplify]: Simplify -1/8 into -1/8 4.913 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 4.913 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 4.913 * [backup-simplify]: Simplify (sqrt (/ (+ 1 N) N)) into (sqrt (/ (+ N 1) N)) 4.913 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 4.913 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 4.913 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.913 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.913 * [taylor]: Taking taylor expansion of N in N 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [backup-simplify]: Simplify 1 into 1 4.913 * [taylor]: Taking taylor expansion of 1 in N 4.913 * [backup-simplify]: Simplify 1 into 1 4.913 * [taylor]: Taking taylor expansion of N in N 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [backup-simplify]: Simplify 1 into 1 4.914 * [backup-simplify]: Simplify (+ 0 1) into 1 4.914 * [backup-simplify]: Simplify (/ 1 1) into 1 4.914 * [backup-simplify]: Simplify (sqrt 0) into 0 4.915 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.915 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 4.915 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.915 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.915 * [taylor]: Taking taylor expansion of N in N 4.915 * [backup-simplify]: Simplify 0 into 0 4.915 * [backup-simplify]: Simplify 1 into 1 4.915 * [taylor]: Taking taylor expansion of 1 in N 4.915 * [backup-simplify]: Simplify 1 into 1 4.915 * [taylor]: Taking taylor expansion of N in N 4.915 * [backup-simplify]: Simplify 0 into 0 4.915 * [backup-simplify]: Simplify 1 into 1 4.916 * [backup-simplify]: Simplify (+ 0 1) into 1 4.916 * [backup-simplify]: Simplify (/ 1 1) into 1 4.916 * [backup-simplify]: Simplify (sqrt 0) into 0 4.917 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.917 * [backup-simplify]: Simplify 0 into 0 4.917 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.917 * [backup-simplify]: Simplify (+ 1 0) into 1 4.918 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 4.920 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.920 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.920 * [backup-simplify]: Simplify (+ 0 0) into 0 4.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.923 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.923 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 4.924 * [backup-simplify]: Simplify (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 4.924 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 4.924 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 4.924 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.924 * [taylor]: Taking taylor expansion of N in N 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 1 into 1 4.924 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.924 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.924 * [taylor]: Taking taylor expansion of N in N 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 1 into 1 4.924 * [backup-simplify]: Simplify (/ 1 1) into 1 4.924 * [taylor]: Taking taylor expansion of 1 in N 4.924 * [backup-simplify]: Simplify 1 into 1 4.925 * [backup-simplify]: Simplify (+ 1 0) into 1 4.925 * [backup-simplify]: Simplify (* 0 1) into 0 4.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.927 * [backup-simplify]: Simplify (+ 0 1) into 1 4.927 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.928 * [backup-simplify]: Simplify (sqrt 1) into 1 4.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.929 * [backup-simplify]: Simplify (+ 0 0) into 0 4.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 4.931 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.931 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 4.931 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.931 * [taylor]: Taking taylor expansion of N in N 4.931 * [backup-simplify]: Simplify 0 into 0 4.931 * [backup-simplify]: Simplify 1 into 1 4.931 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.931 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.931 * [taylor]: Taking taylor expansion of N in N 4.931 * [backup-simplify]: Simplify 0 into 0 4.931 * [backup-simplify]: Simplify 1 into 1 4.931 * [backup-simplify]: Simplify (/ 1 1) into 1 4.931 * [taylor]: Taking taylor expansion of 1 in N 4.931 * [backup-simplify]: Simplify 1 into 1 4.932 * [backup-simplify]: Simplify (+ 1 0) into 1 4.932 * [backup-simplify]: Simplify (* 0 1) into 0 4.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.933 * [backup-simplify]: Simplify (+ 0 1) into 1 4.934 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.935 * [backup-simplify]: Simplify (sqrt 1) into 1 4.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.936 * [backup-simplify]: Simplify (+ 0 0) into 0 4.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 4.938 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.938 * [backup-simplify]: Simplify 1 into 1 4.938 * [backup-simplify]: Simplify 1/2 into 1/2 4.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.939 * [backup-simplify]: Simplify (+ 0 0) into 0 4.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 4.942 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 4.942 * [backup-simplify]: Simplify -1/8 into -1/8 4.942 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 4.942 * [backup-simplify]: Simplify (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 4.942 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 4.942 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 4.942 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.942 * [taylor]: Taking taylor expansion of -1 in N 4.942 * [backup-simplify]: Simplify -1 into -1 4.942 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.942 * [taylor]: Taking taylor expansion of N in N 4.942 * [backup-simplify]: Simplify 0 into 0 4.942 * [backup-simplify]: Simplify 1 into 1 4.942 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.942 * [taylor]: Taking taylor expansion of 1 in N 4.942 * [backup-simplify]: Simplify 1 into 1 4.942 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.942 * [taylor]: Taking taylor expansion of N in N 4.942 * [backup-simplify]: Simplify 0 into 0 4.943 * [backup-simplify]: Simplify 1 into 1 4.943 * [backup-simplify]: Simplify (/ 1 1) into 1 4.943 * [backup-simplify]: Simplify (- 1) into -1 4.944 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.944 * [backup-simplify]: Simplify (* 0 -1) into 0 4.945 * [backup-simplify]: Simplify (* -1 0) into 0 4.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.946 * [backup-simplify]: Simplify (- 0) into 0 4.946 * [backup-simplify]: Simplify (+ 1 0) into 1 4.947 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 4.948 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.948 * [backup-simplify]: Simplify (sqrt 1) into 1 4.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.950 * [backup-simplify]: Simplify (- 0) into 0 4.950 * [backup-simplify]: Simplify (+ 0 0) into 0 4.951 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 4.952 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 4.953 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 4.953 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 4.953 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.953 * [taylor]: Taking taylor expansion of -1 in N 4.953 * [backup-simplify]: Simplify -1 into -1 4.953 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.953 * [taylor]: Taking taylor expansion of N in N 4.953 * [backup-simplify]: Simplify 0 into 0 4.953 * [backup-simplify]: Simplify 1 into 1 4.953 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.953 * [taylor]: Taking taylor expansion of 1 in N 4.953 * [backup-simplify]: Simplify 1 into 1 4.953 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.953 * [taylor]: Taking taylor expansion of N in N 4.953 * [backup-simplify]: Simplify 0 into 0 4.953 * [backup-simplify]: Simplify 1 into 1 4.954 * [backup-simplify]: Simplify (/ 1 1) into 1 4.954 * [backup-simplify]: Simplify (- 1) into -1 4.955 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.955 * [backup-simplify]: Simplify (* 0 -1) into 0 4.955 * [backup-simplify]: Simplify (* -1 0) into 0 4.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.957 * [backup-simplify]: Simplify (- 0) into 0 4.957 * [backup-simplify]: Simplify (+ 1 0) into 1 4.958 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 4.958 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.959 * [backup-simplify]: Simplify (sqrt 1) into 1 4.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.960 * [backup-simplify]: Simplify (- 0) into 0 4.961 * [backup-simplify]: Simplify (+ 0 0) into 0 4.962 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 4.963 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 4.963 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 4.963 * [backup-simplify]: Simplify 1 into 1 4.964 * [backup-simplify]: Simplify -1/2 into -1/2 4.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.965 * [backup-simplify]: Simplify (- 0) into 0 4.965 * [backup-simplify]: Simplify (+ 0 0) into 0 4.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 4.968 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 4.969 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 4.969 * [backup-simplify]: Simplify -1/8 into -1/8 4.970 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 4.970 * * * [progress]: simplifying candidates 4.970 * * * * [progress]: [ 1 / 134 ] simplifiying candidate # 4.970 * * * * [progress]: [ 2 / 134 ] simplifiying candidate # 4.970 * * * * [progress]: [ 3 / 134 ] simplifiying candidate # 4.970 * * * * [progress]: [ 4 / 134 ] simplifiying candidate # 4.970 * * * * [progress]: [ 5 / 134 ] simplifiying candidate # 4.970 * * * * [progress]: [ 6 / 134 ] simplifiying candidate # 4.970 * * * * [progress]: [ 7 / 134 ] simplifiying candidate # 4.970 * * * * [progress]: [ 8 / 134 ] simplifiying candidate # 4.971 * * * * [progress]: [ 9 / 134 ] simplifiying candidate # 4.971 * * * * [progress]: [ 10 / 134 ] simplifiying candidate # 4.971 * * * * [progress]: [ 11 / 134 ] simplifiying candidate # 4.971 * * * * [progress]: [ 12 / 134 ] simplifiying candidate # 4.971 * * * * [progress]: [ 13 / 134 ] simplifiying candidate # 4.971 * * * * [progress]: [ 14 / 134 ] simplifiying candidate # 4.971 * * * * [progress]: [ 15 / 134 ] simplifiying candidate # 4.971 * * * * [progress]: [ 16 / 134 ] simplifiying candidate # 4.971 * * * * [progress]: [ 17 / 134 ] simplifiying candidate # 4.971 * * * * [progress]: [ 18 / 134 ] simplifiying candidate # 4.971 * * * * [progress]: [ 19 / 134 ] simplifiying candidate # 4.971 * * * * [progress]: [ 20 / 134 ] simplifiying candidate # 4.971 * * * * [progress]: [ 21 / 134 ] simplifiying candidate # 4.971 * * * * [progress]: [ 22 / 134 ] simplifiying candidate # 4.971 * * * * [progress]: [ 23 / 134 ] simplifiying candidate # 4.972 * * * * [progress]: [ 24 / 134 ] simplifiying candidate # 4.972 * * * * [progress]: [ 25 / 134 ] simplifiying candidate # 4.972 * * * * [progress]: [ 26 / 134 ] simplifiying candidate # 4.972 * * * * [progress]: [ 27 / 134 ] simplifiying candidate # 4.972 * * * * [progress]: [ 28 / 134 ] simplifiying candidate # 4.972 * * * * [progress]: [ 29 / 134 ] simplifiying candidate # 4.972 * * * * [progress]: [ 30 / 134 ] simplifiying candidate # 4.972 * * * * [progress]: [ 31 / 134 ] simplifiying candidate # 4.972 * * * * [progress]: [ 32 / 134 ] simplifiying candidate #real (real->posit16 (log (sqrt (/ (+ 1 N) N)))))))> 4.972 * * * * [progress]: [ 33 / 134 ] simplifiying candidate # 4.972 * * * * [progress]: [ 34 / 134 ] simplifiying candidate # 4.972 * * * * [progress]: [ 35 / 134 ] simplifiying candidate # 4.972 * * * * [progress]: [ 36 / 134 ] simplifiying candidate # 4.972 * * * * [progress]: [ 37 / 134 ] simplifiying candidate # 4.972 * * * * [progress]: [ 38 / 134 ] simplifiying candidate # 4.972 * * * * [progress]: [ 39 / 134 ] simplifiying candidate # 4.973 * * * * [progress]: [ 40 / 134 ] simplifiying candidate # 4.973 * * * * [progress]: [ 41 / 134 ] simplifiying candidate # 4.973 * * * * [progress]: [ 42 / 134 ] simplifiying candidate # 4.973 * * * * [progress]: [ 43 / 134 ] simplifiying candidate # 4.973 * * * * [progress]: [ 44 / 134 ] simplifiying candidate # 4.973 * * * * [progress]: [ 45 / 134 ] simplifiying candidate # 4.973 * * * * [progress]: [ 46 / 134 ] simplifiying candidate # 4.973 * * * * [progress]: [ 47 / 134 ] simplifiying candidate # 4.973 * * * * [progress]: [ 48 / 134 ] simplifiying candidate # 4.973 * * * * [progress]: [ 49 / 134 ] simplifiying candidate # 4.973 * * * * [progress]: [ 50 / 134 ] simplifiying candidate # 4.973 * * * * [progress]: [ 51 / 134 ] simplifiying candidate # 4.973 * * * * [progress]: [ 52 / 134 ] simplifiying candidate # 4.973 * * * * [progress]: [ 53 / 134 ] simplifiying candidate # 4.973 * * * * [progress]: [ 54 / 134 ] simplifiying candidate # 4.974 * * * * [progress]: [ 55 / 134 ] simplifiying candidate # 4.974 * * * * [progress]: [ 56 / 134 ] simplifiying candidate # 4.974 * * * * [progress]: [ 57 / 134 ] simplifiying candidate # 4.974 * * * * [progress]: [ 58 / 134 ] simplifiying candidate # 4.974 * * * * [progress]: [ 59 / 134 ] simplifiying candidate # 4.974 * * * * [progress]: [ 60 / 134 ] simplifiying candidate # 4.974 * * * * [progress]: [ 61 / 134 ] simplifiying candidate # 4.974 * * * * [progress]: [ 62 / 134 ] simplifiying candidate # 4.974 * * * * [progress]: [ 63 / 134 ] simplifiying candidate # 4.974 * * * * [progress]: [ 64 / 134 ] simplifiying candidate #real (real->posit16 (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N)))))> 4.974 * * * * [progress]: [ 65 / 134 ] simplifiying candidate # 4.974 * * * * [progress]: [ 66 / 134 ] simplifiying candidate # 4.974 * * * * [progress]: [ 67 / 134 ] simplifiying candidate # 4.974 * * * * [progress]: [ 68 / 134 ] simplifiying candidate # 4.974 * * * * [progress]: [ 69 / 134 ] simplifiying candidate # 4.974 * * * * [progress]: [ 70 / 134 ] simplifiying candidate # 4.975 * * * * [progress]: [ 71 / 134 ] simplifiying candidate # 4.975 * * * * [progress]: [ 72 / 134 ] simplifiying candidate # 4.975 * * * * [progress]: [ 73 / 134 ] simplifiying candidate # 4.975 * * * * [progress]: [ 74 / 134 ] simplifiying candidate # 4.975 * * * * [progress]: [ 75 / 134 ] simplifiying candidate # 4.975 * * * * [progress]: [ 76 / 134 ] simplifiying candidate # 4.975 * * * * [progress]: [ 77 / 134 ] simplifiying candidate # 4.975 * * * * [progress]: [ 78 / 134 ] simplifiying candidate # 4.975 * * * * [progress]: [ 79 / 134 ] simplifiying candidate # 4.975 * * * * [progress]: [ 80 / 134 ] simplifiying candidate # 4.975 * * * * [progress]: [ 81 / 134 ] simplifiying candidate # 4.975 * * * * [progress]: [ 82 / 134 ] simplifiying candidate # 4.975 * * * * [progress]: [ 83 / 134 ] simplifiying candidate # 4.975 * * * * [progress]: [ 84 / 134 ] simplifiying candidate # 4.976 * * * * [progress]: [ 85 / 134 ] simplifiying candidate # 4.976 * * * * [progress]: [ 86 / 134 ] simplifiying candidate # 4.976 * * * * [progress]: [ 87 / 134 ] simplifiying candidate # 4.976 * * * * [progress]: [ 88 / 134 ] simplifiying candidate # 4.976 * * * * [progress]: [ 89 / 134 ] simplifiying candidate # 4.976 * * * * [progress]: [ 90 / 134 ] simplifiying candidate # 4.976 * * * * [progress]: [ 91 / 134 ] simplifiying candidate # 4.976 * * * * [progress]: [ 92 / 134 ] simplifiying candidate # 4.976 * * * * [progress]: [ 93 / 134 ] simplifiying candidate #real (real->posit16 (sqrt (/ (+ 1 N) N)))))))> 4.976 * * * * [progress]: [ 94 / 134 ] simplifiying candidate # 4.977 * * * * [progress]: [ 95 / 134 ] simplifiying candidate # 4.977 * * * * [progress]: [ 96 / 134 ] simplifiying candidate # 4.977 * * * * [progress]: [ 97 / 134 ] simplifiying candidate # 4.977 * * * * [progress]: [ 98 / 134 ] simplifiying candidate # 4.977 * * * * [progress]: [ 99 / 134 ] simplifiying candidate # 4.977 * * * * [progress]: [ 100 / 134 ] simplifiying candidate # 4.977 * * * * [progress]: [ 101 / 134 ] simplifiying candidate # 4.977 * * * * [progress]: [ 102 / 134 ] simplifiying candidate # 4.977 * * * * [progress]: [ 103 / 134 ] simplifiying candidate # 4.977 * * * * [progress]: [ 104 / 134 ] simplifiying candidate # 4.977 * * * * [progress]: [ 105 / 134 ] simplifiying candidate # 4.977 * * * * [progress]: [ 106 / 134 ] simplifiying candidate # 4.977 * * * * [progress]: [ 107 / 134 ] simplifiying candidate # 4.977 * * * * [progress]: [ 108 / 134 ] simplifiying candidate # 4.977 * * * * [progress]: [ 109 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 110 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 111 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 112 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 113 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 114 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 115 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 116 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 117 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 118 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 119 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 120 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 121 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 122 / 134 ] simplifiying candidate #real (real->posit16 (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N)))))> 4.978 * * * * [progress]: [ 123 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 124 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 125 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 126 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 127 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 128 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 129 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 130 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 131 / 134 ] simplifiying candidate # 4.978 * * * * [progress]: [ 132 / 134 ] simplifiying candidate # 4.979 * * * * [progress]: [ 133 / 134 ] simplifiying candidate # 4.979 * * * * [progress]: [ 134 / 134 ] simplifiying candidate # 4.984 * [simplify]: Simplifying: (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) (log (cbrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) (log (sqrt (cbrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (* 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(sqrt (+ 1 N)) (sqrt N))) (sqrt (/ (sqrt (+ 1 N)) (sqrt N))) (sqrt (/ (sqrt (+ 1 N)) 1)) (sqrt (/ (sqrt (+ 1 N)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ 1 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1 N) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ 1 N) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ 1 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1 N) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ 1 N) N)) (sqrt 1) (sqrt (/ (+ 1 N) N)) (sqrt (+ 1 N)) (sqrt (/ 1 N)) (sqrt (+ 1 N)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ 1 N) N))) (real->posit16 (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (exp (sqrt (/ (+ 1 N) N))) (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N)))) (cbrt (sqrt (/ (+ 1 N) N))) (* (* (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N))) (sqrt (/ (+ 1 N) N))) (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (sqrt (cbrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ 1 N)) (cbrt N))) (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (sqrt (/ (cbrt (+ 1 N)) (sqrt N))) (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1)) (sqrt (/ (cbrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ 1 N)) (cbrt N))) (sqrt (/ (sqrt (+ 1 N)) (sqrt N))) (sqrt (/ (sqrt (+ 1 N)) (sqrt N))) (sqrt (/ (sqrt (+ 1 N)) 1)) (sqrt (/ (sqrt (+ 1 N)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ 1 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1 N) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ 1 N) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ 1 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1 N) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ 1 N) N)) (sqrt 1) (sqrt (/ (+ 1 N) N)) (sqrt (+ 1 N)) (sqrt (/ 1 N)) (sqrt (+ 1 N)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ 1 N) N))) (real->posit16 (sqrt (/ (+ 1 N) N))) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 4.986 * * [simplify]: iteration 0: 124 enodes 5.014 * * [simplify]: iteration 1: 202 enodes 5.068 * * [simplify]: iteration 2: 414 enodes 5.248 * * [simplify]: iteration 3: 1025 enodes 5.903 * * [simplify]: iteration 4: 3033 enodes 6.913 * * [simplify]: iteration complete: 5004 enodes 6.913 * * [simplify]: Extracting #0: cost 65 inf + 0 6.913 * * [simplify]: Extracting #1: cost 146 inf + 3 6.915 * * [simplify]: Extracting #2: cost 930 inf + 594 6.928 * * [simplify]: Extracting #3: cost 1070 inf + 27324 6.956 * * [simplify]: Extracting #4: cost 625 inf + 94287 6.984 * * [simplify]: Extracting #5: cost 454 inf + 131694 7.045 * * [simplify]: Extracting #6: cost 282 inf + 205721 7.096 * * [simplify]: Extracting #7: cost 0 inf + 326102 7.144 * [simplify]: Simplified to: (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ N 1) N)))) (log (fabs (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (fabs (/ (cbrt (+ N 1)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1)) (sqrt N)))) (log (fabs (cbrt (+ N 1)))) (log (sqrt (/ (cbrt (+ N 1)) N))) (log (sqrt (/ (/ (sqrt (+ N 1)) (cbrt N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (cbrt N)))) (log 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(cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N)))) (cbrt (sqrt (/ (+ N 1) N))) (* (sqrt (/ (+ N 1) N)) (/ (+ N 1) N)) (fabs (cbrt (/ (+ N 1) N))) (sqrt (cbrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (fabs (/ (cbrt (+ N 1)) (cbrt N))) (sqrt (/ (cbrt (+ N 1)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (sqrt (/ (cbrt (+ N 1)) (sqrt N))) (fabs (cbrt (+ N 1))) (sqrt (/ (cbrt (+ N 1)) N)) (sqrt (/ (/ (sqrt (+ N 1)) (cbrt N)) (cbrt N))) (sqrt (/ (sqrt (+ N 1)) (cbrt N))) (sqrt (/ (sqrt (+ N 1)) (sqrt N))) (sqrt (/ (sqrt (+ N 1)) (sqrt N))) (sqrt (sqrt (+ N 1))) (sqrt (/ (sqrt (+ N 1)) N)) (sqrt (/ (/ 1 (cbrt N)) (cbrt N))) (sqrt (/ (+ N 1) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))) 1 (sqrt (/ (+ N 1) N)) (sqrt (/ (/ 1 (cbrt N)) (cbrt N))) (sqrt (/ (+ N 1) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))) 1 (sqrt (/ (+ N 1) N)) 1 (sqrt (/ (+ N 1) N)) (sqrt (+ N 1)) (sqrt (/ 1 N)) (sqrt (+ N 1)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (real->posit16 (sqrt (/ (+ N 1) N))) (- (log +nan.0) (* N (- +nan.0 (* +nan.0 N)))) (+ (/ 1/6 (* (* N N) N)) (+ (/ 1/2 N) (/ -1/4 (* N N)))) (+ (/ 1/6 (* (* N N) N)) (+ (/ 1/2 N) (/ -1/4 (* N N)))) (- (log +nan.0) (* N (- +nan.0 (* +nan.0 N)))) (+ (/ 1/6 (* (* N N) N)) (+ (/ 1/2 N) (/ -1/4 (* N N)))) (+ (/ 1/6 (* (* N N) N)) (+ (/ 1/2 N) (/ -1/4 (* N N)))) (- (* +nan.0 (* N N)) (+ +nan.0 (* +nan.0 N))) (+ (+ (/ 1/2 N) 1) (/ -1/8 (* N N))) (+ (+ (/ 1/2 N) 1) (/ -1/8 (* N N))) (- (* +nan.0 (* N N)) (+ +nan.0 (* +nan.0 N))) (+ (+ (/ 1/2 N) 1) (/ -1/8 (* N N))) (+ (+ (/ 1/2 N) 1) (/ -1/8 (* N N))) 7.165 * * * [progress]: adding candidates to table 7.694 * * [progress]: iteration 4 / 4 7.694 * * * [progress]: picking best candidate 7.706 * * * * [pick]: Picked # 7.706 * * * [progress]: localizing error 7.738 * * * [progress]: generating rewritten candidates 7.738 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 7.745 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 7.752 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 7.758 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 7.773 * * * [progress]: generating series expansions 7.773 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 7.773 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 7.773 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 7.773 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 7.773 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 7.773 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 7.773 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.773 * [taylor]: Taking taylor expansion of N in N 7.773 * [backup-simplify]: Simplify 0 into 0 7.773 * [backup-simplify]: Simplify 1 into 1 7.773 * [taylor]: Taking taylor expansion of 1 in N 7.774 * [backup-simplify]: Simplify 1 into 1 7.774 * [taylor]: Taking taylor expansion of N in N 7.774 * [backup-simplify]: Simplify 0 into 0 7.774 * [backup-simplify]: Simplify 1 into 1 7.774 * [backup-simplify]: Simplify (+ 0 1) into 1 7.774 * [backup-simplify]: Simplify (/ 1 1) into 1 7.775 * [backup-simplify]: Simplify (sqrt 0) into 0 7.776 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.776 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.776 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 7.776 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 7.776 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 7.776 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.776 * [taylor]: Taking taylor expansion of N in N 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [backup-simplify]: Simplify 1 into 1 7.776 * [taylor]: Taking taylor expansion of 1 in N 7.776 * [backup-simplify]: Simplify 1 into 1 7.776 * [taylor]: Taking taylor expansion of N in N 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [backup-simplify]: Simplify 1 into 1 7.777 * [backup-simplify]: Simplify (+ 0 1) into 1 7.777 * [backup-simplify]: Simplify (/ 1 1) into 1 7.777 * [backup-simplify]: Simplify (sqrt 0) into 0 7.778 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.778 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.778 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.779 * [backup-simplify]: Simplify (+ 1 0) into 1 7.779 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 7.781 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.785 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.785 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.785 * [backup-simplify]: Simplify (+ 0 0) into 0 7.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.814 * [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 7.814 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.815 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 7.815 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 7.815 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 7.815 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 7.815 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 7.815 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.815 * [taylor]: Taking taylor expansion of N in N 7.815 * [backup-simplify]: Simplify 0 into 0 7.815 * [backup-simplify]: Simplify 1 into 1 7.815 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.815 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.815 * [taylor]: Taking taylor expansion of N in N 7.815 * [backup-simplify]: Simplify 0 into 0 7.815 * [backup-simplify]: Simplify 1 into 1 7.815 * [backup-simplify]: Simplify (/ 1 1) into 1 7.815 * [taylor]: Taking taylor expansion of 1 in N 7.815 * [backup-simplify]: Simplify 1 into 1 7.816 * [backup-simplify]: Simplify (+ 1 0) into 1 7.816 * [backup-simplify]: Simplify (* 0 1) into 0 7.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.817 * [backup-simplify]: Simplify (+ 0 1) into 1 7.817 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.817 * [backup-simplify]: Simplify (sqrt 1) into 1 7.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.818 * [backup-simplify]: Simplify (+ 0 0) into 0 7.819 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 7.819 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.819 * [backup-simplify]: Simplify (log 1) into 0 7.819 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 7.819 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 7.819 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.819 * [taylor]: Taking taylor expansion of N in N 7.819 * [backup-simplify]: Simplify 0 into 0 7.819 * [backup-simplify]: Simplify 1 into 1 7.819 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.820 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.820 * [taylor]: Taking taylor expansion of N in N 7.820 * [backup-simplify]: Simplify 0 into 0 7.820 * [backup-simplify]: Simplify 1 into 1 7.820 * [backup-simplify]: Simplify (/ 1 1) into 1 7.820 * [taylor]: Taking taylor expansion of 1 in N 7.820 * [backup-simplify]: Simplify 1 into 1 7.820 * [backup-simplify]: Simplify (+ 1 0) into 1 7.820 * [backup-simplify]: Simplify (* 0 1) into 0 7.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.821 * [backup-simplify]: Simplify (+ 0 1) into 1 7.822 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.822 * [backup-simplify]: Simplify (sqrt 1) into 1 7.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.823 * [backup-simplify]: Simplify (+ 0 0) into 0 7.823 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 7.823 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.824 * [backup-simplify]: Simplify (log 1) into 0 7.824 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 7.825 * [backup-simplify]: Simplify 1/2 into 1/2 7.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.825 * [backup-simplify]: Simplify (+ 0 0) into 0 7.826 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 7.827 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 7.828 * [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 7.828 * [backup-simplify]: Simplify -1/4 into -1/4 7.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.829 * [backup-simplify]: Simplify (+ 0 0) into 0 7.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 7.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 7.834 * [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 7.834 * [backup-simplify]: Simplify 1/6 into 1/6 7.834 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 7.834 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 7.834 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 7.835 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 7.835 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 7.835 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 7.835 * [taylor]: Taking taylor expansion of -1 in N 7.835 * [backup-simplify]: Simplify -1 into -1 7.835 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.835 * [taylor]: Taking taylor expansion of N in N 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify 1 into 1 7.835 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.835 * [taylor]: Taking taylor expansion of 1 in N 7.835 * [backup-simplify]: Simplify 1 into 1 7.835 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.835 * [taylor]: Taking taylor expansion of N in N 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify 1 into 1 7.835 * [backup-simplify]: Simplify (/ 1 1) into 1 7.835 * [backup-simplify]: Simplify (- 1) into -1 7.836 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.836 * [backup-simplify]: Simplify (* 0 -1) into 0 7.836 * [backup-simplify]: Simplify (* -1 0) into 0 7.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.837 * [backup-simplify]: Simplify (- 0) into 0 7.837 * [backup-simplify]: Simplify (+ 1 0) into 1 7.838 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 7.838 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.838 * [backup-simplify]: Simplify (sqrt 1) into 1 7.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.839 * [backup-simplify]: Simplify (- 0) into 0 7.839 * [backup-simplify]: Simplify (+ 0 0) into 0 7.840 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 7.840 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 7.841 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 7.841 * [backup-simplify]: Simplify (log 1) into 0 7.841 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 7.841 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 7.841 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 7.841 * [taylor]: Taking taylor expansion of -1 in N 7.841 * [backup-simplify]: Simplify -1 into -1 7.841 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.841 * [taylor]: Taking taylor expansion of N in N 7.841 * [backup-simplify]: Simplify 0 into 0 7.841 * [backup-simplify]: Simplify 1 into 1 7.841 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.841 * [taylor]: Taking taylor expansion of 1 in N 7.841 * [backup-simplify]: Simplify 1 into 1 7.841 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.841 * [taylor]: Taking taylor expansion of N in N 7.841 * [backup-simplify]: Simplify 0 into 0 7.841 * [backup-simplify]: Simplify 1 into 1 7.842 * [backup-simplify]: Simplify (/ 1 1) into 1 7.842 * [backup-simplify]: Simplify (- 1) into -1 7.842 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.842 * [backup-simplify]: Simplify (* 0 -1) into 0 7.843 * [backup-simplify]: Simplify (* -1 0) into 0 7.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.844 * [backup-simplify]: Simplify (- 0) into 0 7.844 * [backup-simplify]: Simplify (+ 1 0) into 1 7.844 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 7.845 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.845 * [backup-simplify]: Simplify (sqrt 1) into 1 7.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.846 * [backup-simplify]: Simplify (- 0) into 0 7.846 * [backup-simplify]: Simplify (+ 0 0) into 0 7.846 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 7.847 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 7.848 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 7.848 * [backup-simplify]: Simplify (log 1) into 0 7.848 * [backup-simplify]: Simplify 0 into 0 7.849 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 7.849 * [backup-simplify]: Simplify -1/2 into -1/2 7.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.850 * [backup-simplify]: Simplify (- 0) into 0 7.850 * [backup-simplify]: Simplify (+ 0 0) into 0 7.851 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 7.852 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 7.853 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 7.856 * [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 7.857 * [backup-simplify]: Simplify -1/4 into -1/4 7.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.858 * [backup-simplify]: Simplify (- 0) into 0 7.858 * [backup-simplify]: Simplify (+ 0 0) into 0 7.860 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 7.862 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 7.864 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 7.870 * [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 7.870 * [backup-simplify]: Simplify -1/6 into -1/6 7.870 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 7.870 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 7.870 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 7.870 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 7.870 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 7.871 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 7.871 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.871 * [taylor]: Taking taylor expansion of N in N 7.871 * [backup-simplify]: Simplify 0 into 0 7.871 * [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 * [taylor]: Taking taylor expansion of N in N 7.871 * [backup-simplify]: Simplify 0 into 0 7.871 * [backup-simplify]: Simplify 1 into 1 7.871 * [backup-simplify]: Simplify (+ 0 1) into 1 7.872 * [backup-simplify]: Simplify (/ 1 1) into 1 7.872 * [backup-simplify]: Simplify (log 1) into 0 7.872 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 7.872 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 7.872 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.872 * [taylor]: Taking taylor expansion of N in N 7.872 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify 1 into 1 7.872 * [taylor]: Taking taylor expansion of 1 in N 7.872 * [backup-simplify]: Simplify 1 into 1 7.872 * [taylor]: Taking taylor expansion of N in N 7.872 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify 1 into 1 7.873 * [backup-simplify]: Simplify (+ 0 1) into 1 7.873 * [backup-simplify]: Simplify (/ 1 1) into 1 7.874 * [backup-simplify]: Simplify (log 1) into 0 7.874 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.874 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 7.875 * [backup-simplify]: Simplify (+ 1 0) into 1 7.876 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 7.877 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.877 * [backup-simplify]: Simplify 1 into 1 7.878 * [backup-simplify]: Simplify (+ 0 0) into 0 7.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.882 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.882 * [backup-simplify]: Simplify -1/2 into -1/2 7.882 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 7.882 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 7.882 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 7.882 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 7.882 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.883 * [taylor]: Taking taylor expansion of N in N 7.883 * [backup-simplify]: Simplify 0 into 0 7.883 * [backup-simplify]: Simplify 1 into 1 7.883 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.883 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.883 * [taylor]: Taking taylor expansion of N in N 7.883 * [backup-simplify]: Simplify 0 into 0 7.883 * [backup-simplify]: Simplify 1 into 1 7.883 * [backup-simplify]: Simplify (/ 1 1) into 1 7.883 * [taylor]: Taking taylor expansion of 1 in N 7.883 * [backup-simplify]: Simplify 1 into 1 7.884 * [backup-simplify]: Simplify (+ 1 0) into 1 7.884 * [backup-simplify]: Simplify (* 0 1) into 0 7.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.886 * [backup-simplify]: Simplify (+ 0 1) into 1 7.886 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.887 * [backup-simplify]: Simplify (log 1) into 0 7.887 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 7.887 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.887 * [taylor]: Taking taylor expansion of N in N 7.887 * [backup-simplify]: Simplify 0 into 0 7.887 * [backup-simplify]: Simplify 1 into 1 7.887 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.887 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.887 * [taylor]: Taking taylor expansion of N in N 7.887 * [backup-simplify]: Simplify 0 into 0 7.887 * [backup-simplify]: Simplify 1 into 1 7.887 * [backup-simplify]: Simplify (/ 1 1) into 1 7.887 * [taylor]: Taking taylor expansion of 1 in N 7.887 * [backup-simplify]: Simplify 1 into 1 7.888 * [backup-simplify]: Simplify (+ 1 0) into 1 7.888 * [backup-simplify]: Simplify (* 0 1) into 0 7.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.890 * [backup-simplify]: Simplify (+ 0 1) into 1 7.890 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.891 * [backup-simplify]: Simplify (log 1) into 0 7.891 * [backup-simplify]: Simplify 0 into 0 7.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.892 * [backup-simplify]: Simplify (+ 0 0) into 0 7.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 7.894 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.894 * [backup-simplify]: Simplify 1 into 1 7.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.895 * [backup-simplify]: Simplify (+ 0 0) into 0 7.896 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 7.897 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.897 * [backup-simplify]: Simplify -1/2 into -1/2 7.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.898 * [backup-simplify]: Simplify (+ 0 0) into 0 7.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 7.902 * [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 7.903 * [backup-simplify]: Simplify 1/3 into 1/3 7.903 * [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)))) 7.903 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 7.903 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 7.903 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 7.903 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 7.903 * [taylor]: Taking taylor expansion of -1 in N 7.903 * [backup-simplify]: Simplify -1 into -1 7.903 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.903 * [taylor]: Taking taylor expansion of N in N 7.903 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify 1 into 1 7.903 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.903 * [taylor]: Taking taylor expansion of 1 in N 7.903 * [backup-simplify]: Simplify 1 into 1 7.903 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.903 * [taylor]: Taking taylor expansion of N in N 7.903 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify 1 into 1 7.904 * [backup-simplify]: Simplify (/ 1 1) into 1 7.904 * [backup-simplify]: Simplify (- 1) into -1 7.904 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.905 * [backup-simplify]: Simplify (* 0 -1) into 0 7.905 * [backup-simplify]: Simplify (* -1 0) into 0 7.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.906 * [backup-simplify]: Simplify (- 0) into 0 7.906 * [backup-simplify]: Simplify (+ 1 0) into 1 7.906 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 7.907 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.907 * [backup-simplify]: Simplify (log 1) into 0 7.907 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 7.907 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 7.907 * [taylor]: Taking taylor expansion of -1 in N 7.907 * [backup-simplify]: Simplify -1 into -1 7.907 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.907 * [taylor]: Taking taylor expansion of N in N 7.907 * [backup-simplify]: Simplify 0 into 0 7.907 * [backup-simplify]: Simplify 1 into 1 7.907 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.907 * [taylor]: Taking taylor expansion of 1 in N 7.907 * [backup-simplify]: Simplify 1 into 1 7.907 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.907 * [taylor]: Taking taylor expansion of N in N 7.907 * [backup-simplify]: Simplify 0 into 0 7.907 * [backup-simplify]: Simplify 1 into 1 7.908 * [backup-simplify]: Simplify (/ 1 1) into 1 7.908 * [backup-simplify]: Simplify (- 1) into -1 7.908 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.908 * [backup-simplify]: Simplify (* 0 -1) into 0 7.909 * [backup-simplify]: Simplify (* -1 0) into 0 7.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.909 * [backup-simplify]: Simplify (- 0) into 0 7.910 * [backup-simplify]: Simplify (+ 1 0) into 1 7.910 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 7.910 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.911 * [backup-simplify]: Simplify (log 1) into 0 7.911 * [backup-simplify]: Simplify 0 into 0 7.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.911 * [backup-simplify]: Simplify (- 0) into 0 7.912 * [backup-simplify]: Simplify (+ 0 0) into 0 7.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 7.913 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 7.914 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 7.914 * [backup-simplify]: Simplify -1 into -1 7.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.915 * [backup-simplify]: Simplify (- 0) into 0 7.915 * [backup-simplify]: Simplify (+ 0 0) into 0 7.916 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 7.916 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 7.918 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.918 * [backup-simplify]: Simplify -1/2 into -1/2 7.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.919 * [backup-simplify]: Simplify (- 0) into 0 7.924 * [backup-simplify]: Simplify (+ 0 0) into 0 7.925 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 7.926 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 7.929 * [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 7.929 * [backup-simplify]: Simplify -1/3 into -1/3 7.929 * [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)))) 7.929 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 7.929 * [backup-simplify]: Simplify (sqrt (/ (+ 1 N) N)) into (sqrt (/ (+ N 1) N)) 7.929 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 7.929 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 7.929 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 7.929 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.929 * [taylor]: Taking taylor expansion of N in N 7.929 * [backup-simplify]: Simplify 0 into 0 7.929 * [backup-simplify]: Simplify 1 into 1 7.929 * [taylor]: Taking taylor expansion of 1 in N 7.929 * [backup-simplify]: Simplify 1 into 1 7.929 * [taylor]: Taking taylor expansion of N in N 7.929 * [backup-simplify]: Simplify 0 into 0 7.930 * [backup-simplify]: Simplify 1 into 1 7.930 * [backup-simplify]: Simplify (+ 0 1) into 1 7.930 * [backup-simplify]: Simplify (/ 1 1) into 1 7.930 * [backup-simplify]: Simplify (sqrt 0) into 0 7.931 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.931 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 7.931 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 7.931 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.931 * [taylor]: Taking taylor expansion of N in N 7.931 * [backup-simplify]: Simplify 0 into 0 7.931 * [backup-simplify]: Simplify 1 into 1 7.931 * [taylor]: Taking taylor expansion of 1 in N 7.931 * [backup-simplify]: Simplify 1 into 1 7.931 * [taylor]: Taking taylor expansion of N in N 7.931 * [backup-simplify]: Simplify 0 into 0 7.932 * [backup-simplify]: Simplify 1 into 1 7.932 * [backup-simplify]: Simplify (+ 0 1) into 1 7.932 * [backup-simplify]: Simplify (/ 1 1) into 1 7.932 * [backup-simplify]: Simplify (sqrt 0) into 0 7.933 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.933 * [backup-simplify]: Simplify 0 into 0 7.933 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.934 * [backup-simplify]: Simplify (+ 1 0) into 1 7.934 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 7.936 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.936 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.937 * [backup-simplify]: Simplify (+ 0 0) into 0 7.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.940 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.940 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.940 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 7.940 * [backup-simplify]: Simplify (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 7.940 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 7.940 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 7.940 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.940 * [taylor]: Taking taylor expansion of N in N 7.940 * [backup-simplify]: Simplify 0 into 0 7.940 * [backup-simplify]: Simplify 1 into 1 7.940 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.940 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.940 * [taylor]: Taking taylor expansion of N in N 7.940 * [backup-simplify]: Simplify 0 into 0 7.940 * [backup-simplify]: Simplify 1 into 1 7.940 * [backup-simplify]: Simplify (/ 1 1) into 1 7.940 * [taylor]: Taking taylor expansion of 1 in N 7.940 * [backup-simplify]: Simplify 1 into 1 7.941 * [backup-simplify]: Simplify (+ 1 0) into 1 7.941 * [backup-simplify]: Simplify (* 0 1) into 0 7.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.942 * [backup-simplify]: Simplify (+ 0 1) into 1 7.942 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.942 * [backup-simplify]: Simplify (sqrt 1) into 1 7.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.943 * [backup-simplify]: Simplify (+ 0 0) into 0 7.944 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 7.944 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.944 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 7.944 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.944 * [taylor]: Taking taylor expansion of N in N 7.944 * [backup-simplify]: Simplify 0 into 0 7.944 * [backup-simplify]: Simplify 1 into 1 7.944 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.944 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.944 * [taylor]: Taking taylor expansion of N in N 7.944 * [backup-simplify]: Simplify 0 into 0 7.944 * [backup-simplify]: Simplify 1 into 1 7.944 * [backup-simplify]: Simplify (/ 1 1) into 1 7.944 * [taylor]: Taking taylor expansion of 1 in N 7.945 * [backup-simplify]: Simplify 1 into 1 7.945 * [backup-simplify]: Simplify (+ 1 0) into 1 7.945 * [backup-simplify]: Simplify (* 0 1) into 0 7.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.946 * [backup-simplify]: Simplify (+ 0 1) into 1 7.946 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.947 * [backup-simplify]: Simplify (sqrt 1) into 1 7.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.948 * [backup-simplify]: Simplify (+ 0 0) into 0 7.948 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 7.949 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.949 * [backup-simplify]: Simplify 1 into 1 7.949 * [backup-simplify]: Simplify 1/2 into 1/2 7.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.949 * [backup-simplify]: Simplify (+ 0 0) into 0 7.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 7.951 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 7.951 * [backup-simplify]: Simplify -1/8 into -1/8 7.951 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 7.951 * [backup-simplify]: Simplify (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 7.951 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 7.951 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 7.951 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 7.951 * [taylor]: Taking taylor expansion of -1 in N 7.951 * [backup-simplify]: Simplify -1 into -1 7.951 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.951 * [taylor]: Taking taylor expansion of N in N 7.951 * [backup-simplify]: Simplify 0 into 0 7.951 * [backup-simplify]: Simplify 1 into 1 7.951 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.951 * [taylor]: Taking taylor expansion of 1 in N 7.951 * [backup-simplify]: Simplify 1 into 1 7.951 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.951 * [taylor]: Taking taylor expansion of N in N 7.951 * [backup-simplify]: Simplify 0 into 0 7.951 * [backup-simplify]: Simplify 1 into 1 7.952 * [backup-simplify]: Simplify (/ 1 1) into 1 7.952 * [backup-simplify]: Simplify (- 1) into -1 7.952 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.952 * [backup-simplify]: Simplify (* 0 -1) into 0 7.953 * [backup-simplify]: Simplify (* -1 0) into 0 7.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.953 * [backup-simplify]: Simplify (- 0) into 0 7.954 * [backup-simplify]: Simplify (+ 1 0) into 1 7.954 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 7.954 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.955 * [backup-simplify]: Simplify (sqrt 1) into 1 7.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.956 * [backup-simplify]: Simplify (- 0) into 0 7.956 * [backup-simplify]: Simplify (+ 0 0) into 0 7.956 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 7.957 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 7.957 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 7.957 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 7.957 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 7.957 * [taylor]: Taking taylor expansion of -1 in N 7.957 * [backup-simplify]: Simplify -1 into -1 7.957 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.957 * [taylor]: Taking taylor expansion of N in N 7.958 * [backup-simplify]: Simplify 0 into 0 7.958 * [backup-simplify]: Simplify 1 into 1 7.958 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.958 * [taylor]: Taking taylor expansion of 1 in N 7.958 * [backup-simplify]: Simplify 1 into 1 7.958 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.958 * [taylor]: Taking taylor expansion of N in N 7.958 * [backup-simplify]: Simplify 0 into 0 7.958 * [backup-simplify]: Simplify 1 into 1 7.958 * [backup-simplify]: Simplify (/ 1 1) into 1 7.958 * [backup-simplify]: Simplify (- 1) into -1 7.958 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.959 * [backup-simplify]: Simplify (* 0 -1) into 0 7.959 * [backup-simplify]: Simplify (* -1 0) into 0 7.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.960 * [backup-simplify]: Simplify (- 0) into 0 7.960 * [backup-simplify]: Simplify (+ 1 0) into 1 7.960 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 7.961 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.961 * [backup-simplify]: Simplify (sqrt 1) into 1 7.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.962 * [backup-simplify]: Simplify (- 0) into 0 7.962 * [backup-simplify]: Simplify (+ 0 0) into 0 7.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 7.963 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 7.964 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 7.964 * [backup-simplify]: Simplify 1 into 1 7.964 * [backup-simplify]: Simplify -1/2 into -1/2 7.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.965 * [backup-simplify]: Simplify (- 0) into 0 7.965 * [backup-simplify]: Simplify (+ 0 0) into 0 7.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 7.966 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 7.967 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 7.967 * [backup-simplify]: Simplify -1/8 into -1/8 7.967 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 7.967 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 7.967 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 7.968 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 7.968 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 7.968 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.968 * [taylor]: Taking taylor expansion of N in N 7.968 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify 1 into 1 7.968 * [taylor]: Taking taylor expansion of 1 in N 7.968 * [backup-simplify]: Simplify 1 into 1 7.968 * [taylor]: Taking taylor expansion of N in N 7.968 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify 1 into 1 7.968 * [backup-simplify]: Simplify (+ 0 1) into 1 7.968 * [backup-simplify]: Simplify (/ 1 1) into 1 7.968 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 7.968 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.968 * [taylor]: Taking taylor expansion of N in N 7.968 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify 1 into 1 7.968 * [taylor]: Taking taylor expansion of 1 in N 7.968 * [backup-simplify]: Simplify 1 into 1 7.968 * [taylor]: Taking taylor expansion of N in N 7.968 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify 1 into 1 7.969 * [backup-simplify]: Simplify (+ 0 1) into 1 7.969 * [backup-simplify]: Simplify (/ 1 1) into 1 7.969 * [backup-simplify]: Simplify 1 into 1 7.969 * [backup-simplify]: Simplify (+ 1 0) into 1 7.970 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 7.970 * [backup-simplify]: Simplify 1 into 1 7.970 * [backup-simplify]: Simplify (+ 0 0) into 0 7.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.971 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify (+ 0 0) into 0 7.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.971 * [backup-simplify]: Simplify 0 into 0 7.972 * [backup-simplify]: Simplify (+ 0 0) into 0 7.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.972 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify (+ 0 0) into 0 7.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.973 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify (+ 0 0) into 0 7.974 * [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 7.974 * [backup-simplify]: Simplify 0 into 0 7.974 * [backup-simplify]: Simplify (+ 0 0) into 0 7.975 * [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 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 7.975 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 7.975 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 7.975 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.975 * [taylor]: Taking taylor expansion of N in N 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify 1 into 1 7.975 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.975 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.975 * [taylor]: Taking taylor expansion of N in N 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify 1 into 1 7.976 * [backup-simplify]: Simplify (/ 1 1) into 1 7.976 * [taylor]: Taking taylor expansion of 1 in N 7.976 * [backup-simplify]: Simplify 1 into 1 7.976 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.976 * [taylor]: Taking taylor expansion of N in N 7.976 * [backup-simplify]: Simplify 0 into 0 7.976 * [backup-simplify]: Simplify 1 into 1 7.976 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.976 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.976 * [taylor]: Taking taylor expansion of N in N 7.976 * [backup-simplify]: Simplify 0 into 0 7.976 * [backup-simplify]: Simplify 1 into 1 7.976 * [backup-simplify]: Simplify (/ 1 1) into 1 7.976 * [taylor]: Taking taylor expansion of 1 in N 7.976 * [backup-simplify]: Simplify 1 into 1 7.977 * [backup-simplify]: Simplify (+ 1 0) into 1 7.977 * [backup-simplify]: Simplify (* 0 1) into 0 7.977 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.978 * [backup-simplify]: Simplify (+ 0 1) into 1 7.978 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.978 * [backup-simplify]: Simplify 1 into 1 7.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.979 * [backup-simplify]: Simplify (+ 0 0) into 0 7.980 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 7.980 * [backup-simplify]: Simplify 1 into 1 7.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.982 * [backup-simplify]: Simplify (+ 0 0) into 0 7.983 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 7.983 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.984 * [backup-simplify]: Simplify (+ 0 0) into 0 7.986 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 7.986 * [backup-simplify]: Simplify 0 into 0 7.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.987 * [backup-simplify]: Simplify (+ 0 0) into 0 7.988 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 7.989 * [backup-simplify]: Simplify 0 into 0 7.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.990 * [backup-simplify]: Simplify (+ 0 0) into 0 7.991 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 7.991 * [backup-simplify]: Simplify 0 into 0 7.992 * [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 7.993 * [backup-simplify]: Simplify (+ 0 0) into 0 7.994 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 7.994 * [backup-simplify]: Simplify 0 into 0 7.995 * [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 7.996 * [backup-simplify]: Simplify (+ 0 0) into 0 7.997 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 7.997 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 7.998 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 7.998 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 7.998 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 7.998 * [taylor]: Taking taylor expansion of -1 in N 7.998 * [backup-simplify]: Simplify -1 into -1 7.998 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.998 * [taylor]: Taking taylor expansion of N in N 7.998 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify 1 into 1 7.998 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.998 * [taylor]: Taking taylor expansion of 1 in N 7.998 * [backup-simplify]: Simplify 1 into 1 7.998 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.998 * [taylor]: Taking taylor expansion of N in N 7.998 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify 1 into 1 7.999 * [backup-simplify]: Simplify (/ 1 1) into 1 7.999 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 7.999 * [taylor]: Taking taylor expansion of -1 in N 7.999 * [backup-simplify]: Simplify -1 into -1 7.999 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.999 * [taylor]: Taking taylor expansion of N in N 7.999 * [backup-simplify]: Simplify 0 into 0 7.999 * [backup-simplify]: Simplify 1 into 1 7.999 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.999 * [taylor]: Taking taylor expansion of 1 in N 7.999 * [backup-simplify]: Simplify 1 into 1 7.999 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.999 * [taylor]: Taking taylor expansion of N in N 7.999 * [backup-simplify]: Simplify 0 into 0 7.999 * [backup-simplify]: Simplify 1 into 1 7.999 * [backup-simplify]: Simplify (/ 1 1) into 1 8.000 * [backup-simplify]: Simplify (- 1) into -1 8.000 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.001 * [backup-simplify]: Simplify (* 0 -1) into 0 8.001 * [backup-simplify]: Simplify (* -1 0) into 0 8.001 * [backup-simplify]: Simplify 0 into 0 8.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.002 * [backup-simplify]: Simplify (- 0) into 0 8.002 * [backup-simplify]: Simplify (+ 1 0) into 1 8.003 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.004 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.004 * [backup-simplify]: Simplify 1 into 1 8.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.005 * [backup-simplify]: Simplify (- 0) into 0 8.005 * [backup-simplify]: Simplify (+ 0 0) into 0 8.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 8.007 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 8.007 * [backup-simplify]: Simplify -1 into -1 8.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.008 * [backup-simplify]: Simplify (- 0) into 0 8.008 * [backup-simplify]: Simplify (+ 0 0) into 0 8.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 8.009 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 8.009 * [backup-simplify]: Simplify 0 into 0 8.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.010 * [backup-simplify]: Simplify (- 0) into 0 8.011 * [backup-simplify]: Simplify (+ 0 0) into 0 8.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 8.012 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 8.012 * [backup-simplify]: Simplify 0 into 0 8.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.013 * [backup-simplify]: Simplify (- 0) into 0 8.013 * [backup-simplify]: Simplify (+ 0 0) into 0 8.015 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 8.015 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 8.015 * [backup-simplify]: Simplify 0 into 0 8.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.016 * [backup-simplify]: Simplify (- 0) into 0 8.017 * [backup-simplify]: Simplify (+ 0 0) into 0 8.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 8.019 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 8.019 * [backup-simplify]: Simplify 0 into 0 8.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.020 * [backup-simplify]: Simplify (- 0) into 0 8.020 * [backup-simplify]: Simplify (+ 0 0) into 0 8.021 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 8.022 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 8.022 * [backup-simplify]: Simplify 0 into 0 8.023 * [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 8.023 * [backup-simplify]: Simplify (- 0) into 0 8.023 * [backup-simplify]: Simplify (+ 0 0) into 0 8.029 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 8.031 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 8.031 * [backup-simplify]: Simplify 0 into 0 8.031 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 8.031 * * * [progress]: simplifying candidates 8.031 * * * * [progress]: [ 1 / 135 ] simplifiying candidate # 8.031 * * * * [progress]: [ 2 / 135 ] simplifiying candidate # 8.031 * * * * [progress]: [ 3 / 135 ] simplifiying candidate # 8.031 * * * * [progress]: [ 4 / 135 ] simplifiying candidate # 8.031 * * * * [progress]: [ 5 / 135 ] simplifiying candidate # 8.031 * * * * [progress]: [ 6 / 135 ] simplifiying candidate # 8.031 * * * * [progress]: [ 7 / 135 ] simplifiying candidate # 8.031 * * * * [progress]: [ 8 / 135 ] simplifiying candidate # 8.031 * * * * [progress]: [ 9 / 135 ] simplifiying candidate # 8.031 * * * * [progress]: [ 10 / 135 ] simplifiying candidate # 8.031 * * * * [progress]: [ 11 / 135 ] simplifiying candidate # 8.031 * * * * [progress]: [ 12 / 135 ] simplifiying candidate # 8.031 * * * * [progress]: [ 13 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 14 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 15 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 16 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 17 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 18 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 19 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 20 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 21 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 22 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 23 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 24 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 25 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 26 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 27 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 28 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 29 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 30 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 31 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 32 / 135 ] simplifiying candidate #real (real->posit16 (log (sqrt (/ (+ 1 N) N))))) (* 1/2 (log (/ (+ 1 N) N)))))> 8.032 * * * * [progress]: [ 33 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 34 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 35 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 36 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 37 / 135 ] simplifiying candidate # 8.032 * * * * [progress]: [ 38 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 39 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 40 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 41 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 42 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 43 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 44 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 45 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 46 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 47 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 48 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 49 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 50 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 51 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 52 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 53 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 54 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 55 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 56 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 57 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 58 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 59 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 60 / 135 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))))> 8.033 * * * * [progress]: [ 61 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 62 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 63 / 135 ] simplifiying candidate # 8.033 * * * * [progress]: [ 64 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 65 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 66 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 67 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 68 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 69 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 70 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 71 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 72 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 73 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 74 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 75 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 76 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 77 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 78 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 79 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 80 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 81 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 82 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 83 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 84 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 85 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 86 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 87 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 88 / 135 ] simplifiying candidate # 8.034 * * * * [progress]: [ 89 / 135 ] simplifiying candidate #real (real->posit16 (sqrt (/ (+ 1 N) N))))) (* 1/2 (log (/ (+ 1 N) N)))))> 8.035 * * * * [progress]: [ 90 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 91 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 92 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 93 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 94 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 95 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 96 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 97 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 98 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 99 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 100 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 101 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 102 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 103 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 104 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 105 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 106 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 107 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 108 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 109 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 110 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 111 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 112 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 113 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 114 / 135 ] simplifiying candidate # 8.035 * * * * [progress]: [ 115 / 135 ] simplifiying candidate # 8.036 * * * * [progress]: [ 116 / 135 ] simplifiying candidate # 8.036 * * * * [progress]: [ 117 / 135 ] simplifiying candidate # 8.036 * * * * [progress]: [ 118 / 135 ] simplifiying candidate # 8.036 * * * * [progress]: [ 119 / 135 ] simplifiying candidate # 8.036 * * * * [progress]: [ 120 / 135 ] simplifiying candidate # 8.036 * * * * [progress]: [ 121 / 135 ] simplifiying candidate # 8.036 * * * * [progress]: [ 122 / 135 ] simplifiying candidate # 8.036 * * * * [progress]: [ 123 / 135 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))))> 8.036 * * * * [progress]: [ 124 / 135 ] simplifiying candidate # 8.036 * * * * [progress]: [ 125 / 135 ] simplifiying candidate # 8.036 * * * * [progress]: [ 126 / 135 ] simplifiying candidate # 8.036 * * * * [progress]: [ 127 / 135 ] simplifiying candidate # 8.036 * * * * [progress]: [ 128 / 135 ] simplifiying candidate # 8.036 * * * * [progress]: [ 129 / 135 ] simplifiying candidate # 8.036 * * * * [progress]: [ 130 / 135 ] simplifiying candidate # 8.036 * * * * [progress]: [ 131 / 135 ] simplifiying candidate # 8.036 * * * * [progress]: [ 132 / 135 ] simplifiying candidate # 8.036 * * * * [progress]: [ 133 / 135 ] simplifiying candidate # 8.036 * * * * [progress]: [ 134 / 135 ] simplifiying candidate # 8.036 * * * * [progress]: [ 135 / 135 ] simplifiying candidate # 8.037 * [simplify]: Simplifying: (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) (log (cbrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) (log (sqrt (cbrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)))) (log (sqrt (/ (cbrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1))) (log (sqrt (/ (cbrt (+ 1 N)) N))) (log (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) 1))) (log (sqrt (/ (sqrt (+ 1 N)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt 1)) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (+ 1 N))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log 1) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (+ 1 N))) (log (sqrt N)) (log (/ (+ 1 N) N)) (log (sqrt (/ (+ 1 N) N))) (log (/ (+ 1 N) N)) (log (log (sqrt (/ (+ 1 N) N)))) (exp (log (sqrt (/ (+ 1 N) N)))) (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N)))) (* (* (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (+ 1 N) N)))) (sqrt (log (sqrt (/ (+ 1 N) N)))) (sqrt (log (sqrt (/ (+ 1 N) N)))) (real->posit16 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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 (sqrt (/ (+ 1 N) N))) (exp (sqrt (/ (+ 1 N) N))) (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N)))) (cbrt (sqrt (/ (+ 1 N) N))) (* (* (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N))) (sqrt (/ (+ 1 N) N))) (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (sqrt (cbrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ 1 N)) (cbrt N))) (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (sqrt (/ (cbrt (+ 1 N)) (sqrt N))) (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1)) (sqrt (/ (cbrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ 1 N)) (cbrt N))) 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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)) (- (log +nan.0) (* +nan.0 (- N (* N N)))) (+ (/ 1/2 N) (+ (/ (/ 1/6 (* N N)) N) (/ -1/4 (* N N)))) (+ (/ 1/2 N) (+ (/ (/ 1/6 (* N N)) N) (/ -1/4 (* 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))) (- (* (- +nan.0) (- N (* N N))) +nan.0) (+ 1 (- (/ 1/2 N) (/ 1/8 (* N N)))) (+ 1 (- (/ 1/2 N) (/ 1/8 (* N N)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 10.103 * * * [progress]: adding candidates to table 10.738 * [progress]: [Phase 3 of 3] Extracting. 10.738 * * [regime]: Finding splitpoints for: (# # # # #) 10.739 * * * [regime-changes]: Trying 1 branch expressions: (N) 10.739 * * * * [regimes]: Trying to branch on N from (# # # # #) 10.775 * * * [regime]: Found split indices: #