22.267 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.065 * * * [progress]: [2/2] Setting up program. 0.071 * [progress]: [Phase 2 of 3] Improving. 0.072 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.072 * * [simplify]: iteration 0: 6 enodes 0.073 * * [simplify]: iteration 1: 9 enodes 0.075 * * [simplify]: iteration 2: 10 enodes 0.077 * * [simplify]: iteration complete: 10 enodes 0.078 * * [simplify]: Extracting #0: cost 1 inf + 0 0.078 * * [simplify]: Extracting #1: cost 4 inf + 0 0.078 * * [simplify]: Extracting #2: cost 6 inf + 0 0.078 * * [simplify]: Extracting #3: cost 6 inf + 1 0.078 * * [simplify]: Extracting #4: cost 0 inf + 560 0.078 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.079 * * [progress]: iteration 1 / 4 0.079 * * * [progress]: picking best candidate 0.086 * * * * [pick]: Picked # 0.086 * * * [progress]: localizing error 0.105 * * * [progress]: generating rewritten candidates 0.105 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.111 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.151 * * * [progress]: generating series expansions 0.151 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.152 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.152 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.152 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.152 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [taylor]: Taking taylor expansion of 1.0 in N 0.152 * [backup-simplify]: Simplify 1.0 into 1.0 0.153 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.153 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.153 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.153 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.153 * [taylor]: Taking taylor expansion of N in N 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [taylor]: Taking taylor expansion of 1.0 in N 0.153 * [backup-simplify]: Simplify 1.0 into 1.0 0.154 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.154 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.155 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.155 * [backup-simplify]: Simplify (+ 1 0) into 1 0.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.160 * [backup-simplify]: Simplify 1.0 into 1.0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.170 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.171 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.171 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.171 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.171 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.171 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.171 * [taylor]: Taking taylor expansion of N in N 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [taylor]: Taking taylor expansion of 1.0 in N 0.172 * [backup-simplify]: Simplify 1.0 into 1.0 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [backup-simplify]: Simplify (log 1) into 0 0.172 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.172 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [taylor]: Taking taylor expansion of 1.0 in N 0.173 * [backup-simplify]: Simplify 1.0 into 1.0 0.173 * [backup-simplify]: Simplify (+ 1 0) into 1 0.173 * [backup-simplify]: Simplify (log 1) into 0 0.174 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.174 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.178 * [backup-simplify]: Simplify 1.0 into 1.0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.186 * [backup-simplify]: Simplify -0.5 into -0.5 0.186 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.186 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.186 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.186 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.186 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.186 * [taylor]: Taking taylor expansion of 1.0 in N 0.186 * [backup-simplify]: Simplify 1.0 into 1.0 0.186 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [backup-simplify]: Simplify (- 1) into -1 0.187 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.187 * [backup-simplify]: Simplify (log -1) into (log -1) 0.187 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.187 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.187 * [taylor]: Taking taylor expansion of 1.0 in N 0.188 * [backup-simplify]: Simplify 1.0 into 1.0 0.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.188 * [taylor]: Taking taylor expansion of N in N 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [backup-simplify]: Simplify (- 1) into -1 0.188 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.189 * [backup-simplify]: Simplify (log -1) into (log -1) 0.189 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.189 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (- 0) into 0 0.190 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.195 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.195 * [backup-simplify]: Simplify -1.0 into -1.0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (- 0) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.204 * [backup-simplify]: Simplify -0.5 into -0.5 0.205 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.205 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.205 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.205 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.205 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.205 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.205 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [taylor]: Taking taylor expansion of 1.0 in N 0.205 * [backup-simplify]: Simplify 1.0 into 1.0 0.205 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.206 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.206 * [taylor]: Taking taylor expansion of (log N) in N 0.206 * [taylor]: Taking taylor expansion of N in N 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (log 1) into 0 0.206 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.206 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.206 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.206 * [taylor]: Taking taylor expansion of N in N 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [taylor]: Taking taylor expansion of 1.0 in N 0.206 * [backup-simplify]: Simplify 1.0 into 1.0 0.206 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.207 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.207 * [taylor]: Taking taylor expansion of (log N) in N 0.207 * [taylor]: Taking taylor expansion of N in N 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (log 1) into 0 0.208 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.208 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.208 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.209 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.209 * [backup-simplify]: Simplify (+ 1 0) into 1 0.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.213 * [backup-simplify]: Simplify (- 0) into 0 0.214 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.214 * [backup-simplify]: Simplify 1.0 into 1.0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.221 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.223 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.225 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.227 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.227 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.227 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.227 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.227 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.227 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.227 * [taylor]: Taking taylor expansion of N in N 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [taylor]: Taking taylor expansion of 1.0 in N 0.227 * [backup-simplify]: Simplify 1.0 into 1.0 0.228 * [backup-simplify]: Simplify (+ 1 0) into 1 0.228 * [backup-simplify]: Simplify (log 1) into 0 0.228 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.228 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.228 * [taylor]: Taking taylor expansion of N in N 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [backup-simplify]: Simplify (log 1) into 0 0.229 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.229 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.229 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.229 * [taylor]: Taking taylor expansion of N in N 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [taylor]: Taking taylor expansion of 1.0 in N 0.229 * [backup-simplify]: Simplify 1.0 into 1.0 0.230 * [backup-simplify]: Simplify (+ 1 0) into 1 0.230 * [backup-simplify]: Simplify (log 1) into 0 0.230 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.230 * [taylor]: Taking taylor expansion of N in N 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.234 * [backup-simplify]: Simplify (log 1) into 0 0.234 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.235 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.235 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.235 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.239 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.241 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.241 * [backup-simplify]: Simplify 1.0 into 1.0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.251 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.266 * [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 0.266 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.267 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.267 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.267 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.268 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.268 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.268 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.268 * [taylor]: Taking taylor expansion of 1.0 in N 0.268 * [backup-simplify]: Simplify 1.0 into 1.0 0.268 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.268 * [taylor]: Taking taylor expansion of N in N 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [backup-simplify]: Simplify (- 1) into -1 0.269 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.269 * [backup-simplify]: Simplify (log -1) into (log -1) 0.269 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.269 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.269 * [taylor]: Taking taylor expansion of -1 in N 0.269 * [backup-simplify]: Simplify -1 into -1 0.269 * [taylor]: Taking taylor expansion of N in N 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (/ -1 1) into -1 0.270 * [backup-simplify]: Simplify (log -1) into (log -1) 0.270 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.270 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.270 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.270 * [taylor]: Taking taylor expansion of 1.0 in N 0.270 * [backup-simplify]: Simplify 1.0 into 1.0 0.270 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.270 * [taylor]: Taking taylor expansion of N in N 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [backup-simplify]: Simplify (- 1) into -1 0.271 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.271 * [backup-simplify]: Simplify (log -1) into (log -1) 0.272 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.272 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.272 * [taylor]: Taking taylor expansion of -1 in N 0.272 * [backup-simplify]: Simplify -1 into -1 0.272 * [taylor]: Taking taylor expansion of N in N 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (/ -1 1) into -1 0.272 * [backup-simplify]: Simplify (log -1) into (log -1) 0.273 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.274 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.274 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.275 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.285 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.303 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.303 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 0.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [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 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.323 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.324 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.325 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.325 * * * [progress]: simplifying candidates 0.326 * [simplify]: Simplifying: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.327 * * [simplify]: iteration 0: 127 enodes 0.357 * * [simplify]: iteration 1: 287 enodes 0.484 * * [simplify]: iteration 2: 1090 enodes 1.401 * * [simplify]: iteration complete: 5001 enodes 1.401 * * [simplify]: Extracting #0: cost 45 inf + 0 1.405 * * [simplify]: Extracting #1: cost 853 inf + 1 1.414 * * [simplify]: Extracting #2: cost 1499 inf + 1417 1.435 * * [simplify]: Extracting #3: cost 1056 inf + 74499 1.495 * * [simplify]: Extracting #4: cost 262 inf + 227569 1.570 * * [simplify]: Extracting #5: cost 39 inf + 285451 1.614 * * [simplify]: Extracting #6: cost 4 inf + 293803 1.657 * * [simplify]: Extracting #7: cost 0 inf + 294815 1.702 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (fma (* 1.0 1.0) 1.0 (* N (* N N)))) (log (fma 1.0 (- 1.0 N) (* N N))) (log (* (+ N 1.0) (- N 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (log (+ N 1.0)) (* (log (+ N 1.0)) (log (+ N 1.0)))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (* (cbrt (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (log N)) 0 (- (* (cbrt (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (log N)) 0 (- (* (cbrt (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (log N)) 0 (- (* (cbrt (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (- (log (+ N 1.0)) (log N)) (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (* (log (+ N 1.0)) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (log N))) (fma (log N) (+ (log (+ N 1.0)) (log N)) (* (log (+ N 1.0)) (log (+ N 1.0)))) (- (log N)) (* (- (log (+ N 1.0)) (log N)) (+ (log (+ N 1.0)) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log N)) (sqrt (log (+ N 1.0)))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (+ (log (cbrt N)) (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log N) (log (fma 1.0 (- 1.0 N) (* N N)))) (+ (log N) (log (- N 1.0))) (- (log N)) (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (fma 1.0 N (log 1.0))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (fma (/ 1 N) 1.0 (log -1)) (fma 0.5 (/ (/ 1 N) N) (- (log -1) (log N)))) (- (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (fma 1.0 N (log 1.0))) (log N)) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) 1.706 * * * [progress]: adding candidates to table 2.024 * * [progress]: iteration 2 / 4 2.024 * * * [progress]: picking best candidate 2.045 * * * * [pick]: Picked # 2.045 * * * [progress]: localizing error 2.063 * * * [progress]: generating rewritten candidates 2.063 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.075 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.108 * * * [progress]: generating series expansions 2.108 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.108 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 2.108 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 2.108 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.108 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.108 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.108 * [taylor]: Taking taylor expansion of N in N 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [taylor]: Taking taylor expansion of 1.0 in N 2.108 * [backup-simplify]: Simplify 1.0 into 1.0 2.108 * [taylor]: Taking taylor expansion of N in N 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.110 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.110 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.110 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.110 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.110 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.110 * [taylor]: Taking taylor expansion of N in N 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [taylor]: Taking taylor expansion of 1.0 in N 2.110 * [backup-simplify]: Simplify 1.0 into 1.0 2.110 * [taylor]: Taking taylor expansion of N in N 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.111 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.112 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.117 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.118 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 2.118 * [backup-simplify]: Simplify (+ 1 0) into 1 2.119 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.125 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.125 * [backup-simplify]: Simplify 1.0 into 1.0 2.125 * [backup-simplify]: Simplify (+ 0 0) into 0 2.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.137 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 2.138 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 2.140 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 2.140 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 2.140 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 2.140 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.140 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.141 * [taylor]: Taking taylor expansion of N in N 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.141 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.141 * [taylor]: Taking taylor expansion of N in N 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (/ 1 1) into 1 2.141 * [taylor]: Taking taylor expansion of 1.0 in N 2.141 * [backup-simplify]: Simplify 1.0 into 1.0 2.142 * [backup-simplify]: Simplify (+ 1 0) into 1 2.142 * [backup-simplify]: Simplify (* 0 1) into 0 2.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.144 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.144 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.145 * [backup-simplify]: Simplify (log 1) into 0 2.145 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.145 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.145 * [taylor]: Taking taylor expansion of N in N 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.145 * [taylor]: Taking taylor expansion of N in N 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.146 * [backup-simplify]: Simplify (/ 1 1) into 1 2.146 * [taylor]: Taking taylor expansion of 1.0 in N 2.146 * [backup-simplify]: Simplify 1.0 into 1.0 2.146 * [backup-simplify]: Simplify (+ 1 0) into 1 2.147 * [backup-simplify]: Simplify (* 0 1) into 0 2.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.149 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.149 * [backup-simplify]: Simplify (log 1) into 0 2.149 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify (+ 0 0) into 0 2.153 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.158 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.158 * [backup-simplify]: Simplify 1.0 into 1.0 2.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.159 * [backup-simplify]: Simplify (+ 0 0) into 0 2.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.165 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.165 * [backup-simplify]: Simplify -0.5 into -0.5 2.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.166 * [backup-simplify]: Simplify (+ 0 0) into 0 2.167 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.176 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 2.176 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.177 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.177 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 2.177 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 2.177 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.177 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.177 * [taylor]: Taking taylor expansion of -1 in N 2.177 * [backup-simplify]: Simplify -1 into -1 2.177 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.177 * [taylor]: Taking taylor expansion of N in N 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 1 into 1 2.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.177 * [taylor]: Taking taylor expansion of 1.0 in N 2.177 * [backup-simplify]: Simplify 1.0 into 1.0 2.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.177 * [taylor]: Taking taylor expansion of N in N 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 1 into 1 2.177 * [backup-simplify]: Simplify (/ 1 1) into 1 2.178 * [backup-simplify]: Simplify (- 1) into -1 2.178 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.178 * [backup-simplify]: Simplify (* 0 -1) into 0 2.178 * [backup-simplify]: Simplify (* -1 0) into 0 2.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.179 * [backup-simplify]: Simplify (- 0) into 0 2.179 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.180 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.180 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.180 * [backup-simplify]: Simplify (log 1) into 0 2.180 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.180 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.180 * [taylor]: Taking taylor expansion of -1 in N 2.180 * [backup-simplify]: Simplify -1 into -1 2.180 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.181 * [taylor]: Taking taylor expansion of N in N 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 1 into 1 2.181 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.181 * [taylor]: Taking taylor expansion of 1.0 in N 2.181 * [backup-simplify]: Simplify 1.0 into 1.0 2.181 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.181 * [taylor]: Taking taylor expansion of N in N 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 1 into 1 2.181 * [backup-simplify]: Simplify (/ 1 1) into 1 2.181 * [backup-simplify]: Simplify (- 1) into -1 2.181 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.182 * [backup-simplify]: Simplify (* 0 -1) into 0 2.182 * [backup-simplify]: Simplify (* -1 0) into 0 2.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.182 * [backup-simplify]: Simplify (- 0) into 0 2.183 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.183 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.184 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.184 * [backup-simplify]: Simplify (log 1) into 0 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.185 * [backup-simplify]: Simplify (- 0) into 0 2.185 * [backup-simplify]: Simplify (+ 0 0) into 0 2.187 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.189 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 2.196 * [backup-simplify]: Simplify -1.0 into -1.0 2.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.197 * [backup-simplify]: Simplify (- 0) into 0 2.198 * [backup-simplify]: Simplify (+ 0 0) into 0 2.199 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.201 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.214 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.214 * [backup-simplify]: Simplify -0.5 into -0.5 2.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.216 * [backup-simplify]: Simplify (- 0) into 0 2.216 * [backup-simplify]: Simplify (+ 0 0) into 0 2.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.219 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.244 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 2.244 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.245 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.245 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.245 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 2.245 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 2.245 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.245 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.245 * [taylor]: Taking taylor expansion of N in N 2.245 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify 1 into 1 2.245 * [taylor]: Taking taylor expansion of 1.0 in N 2.245 * [backup-simplify]: Simplify 1.0 into 1.0 2.245 * [taylor]: Taking taylor expansion of N in N 2.245 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify 1 into 1 2.246 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.247 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.247 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.247 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.247 * [taylor]: Taking taylor expansion of N in N 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 1 into 1 2.247 * [taylor]: Taking taylor expansion of 1.0 in N 2.247 * [backup-simplify]: Simplify 1.0 into 1.0 2.247 * [taylor]: Taking taylor expansion of N in N 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 1 into 1 2.248 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.248 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.248 * [backup-simplify]: Simplify 1.0 into 1.0 2.249 * [backup-simplify]: Simplify (+ 1 0) into 1 2.250 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.250 * [backup-simplify]: Simplify 1 into 1 2.250 * [backup-simplify]: Simplify (+ 0 0) into 0 2.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.252 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify (+ 0 0) into 0 2.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.253 * [backup-simplify]: Simplify 0 into 0 2.254 * [backup-simplify]: Simplify (+ 0 0) into 0 2.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.255 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify (+ 0 0) into 0 2.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify (+ 0 0) into 0 2.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify (+ 0 0) into 0 2.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.260 * [backup-simplify]: Simplify 0 into 0 2.260 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 2.261 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 2.261 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 2.261 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.261 * [taylor]: Taking taylor expansion of N in N 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify 1 into 1 2.261 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.261 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.261 * [taylor]: Taking taylor expansion of N in N 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify 1 into 1 2.261 * [backup-simplify]: Simplify (/ 1 1) into 1 2.261 * [taylor]: Taking taylor expansion of 1.0 in N 2.261 * [backup-simplify]: Simplify 1.0 into 1.0 2.261 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.261 * [taylor]: Taking taylor expansion of N in N 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify 1 into 1 2.261 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.261 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.261 * [taylor]: Taking taylor expansion of N in N 2.261 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify 1 into 1 2.262 * [backup-simplify]: Simplify (/ 1 1) into 1 2.262 * [taylor]: Taking taylor expansion of 1.0 in N 2.262 * [backup-simplify]: Simplify 1.0 into 1.0 2.262 * [backup-simplify]: Simplify (+ 1 0) into 1 2.263 * [backup-simplify]: Simplify (* 0 1) into 0 2.263 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.264 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.265 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.265 * [backup-simplify]: Simplify 1 into 1 2.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.266 * [backup-simplify]: Simplify (+ 0 0) into 0 2.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.269 * [backup-simplify]: Simplify 1.0 into 1.0 2.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.270 * [backup-simplify]: Simplify (+ 0 0) into 0 2.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.271 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.272 * [backup-simplify]: Simplify (+ 0 0) into 0 2.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.274 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.275 * [backup-simplify]: Simplify (+ 0 0) into 0 2.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.278 * [backup-simplify]: Simplify (+ 0 0) into 0 2.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [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 2.281 * [backup-simplify]: Simplify (+ 0 0) into 0 2.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 2.283 * [backup-simplify]: Simplify 0 into 0 2.284 * [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 2.284 * [backup-simplify]: Simplify (+ 0 0) into 0 2.285 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.285 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 2.285 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 2.285 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.285 * [taylor]: Taking taylor expansion of -1 in N 2.285 * [backup-simplify]: Simplify -1 into -1 2.285 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.285 * [taylor]: Taking taylor expansion of N in N 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify 1 into 1 2.285 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.285 * [taylor]: Taking taylor expansion of 1.0 in N 2.285 * [backup-simplify]: Simplify 1.0 into 1.0 2.285 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.285 * [taylor]: Taking taylor expansion of N in N 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify 1 into 1 2.286 * [backup-simplify]: Simplify (/ 1 1) into 1 2.286 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.286 * [taylor]: Taking taylor expansion of -1 in N 2.286 * [backup-simplify]: Simplify -1 into -1 2.286 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.286 * [taylor]: Taking taylor expansion of N in N 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 1 into 1 2.286 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.286 * [taylor]: Taking taylor expansion of 1.0 in N 2.286 * [backup-simplify]: Simplify 1.0 into 1.0 2.286 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.286 * [taylor]: Taking taylor expansion of N in N 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 1 into 1 2.286 * [backup-simplify]: Simplify (/ 1 1) into 1 2.286 * [backup-simplify]: Simplify (- 1) into -1 2.287 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.287 * [backup-simplify]: Simplify (* 0 -1) into 0 2.287 * [backup-simplify]: Simplify (* -1 0) into 0 2.287 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.288 * [backup-simplify]: Simplify (- 0) into 0 2.288 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.289 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.289 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.289 * [backup-simplify]: Simplify 1 into 1 2.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.290 * [backup-simplify]: Simplify (- 0) into 0 2.290 * [backup-simplify]: Simplify (+ 0 0) into 0 2.292 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.293 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.293 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.294 * [backup-simplify]: Simplify (- 0) into 0 2.294 * [backup-simplify]: Simplify (+ 0 0) into 0 2.295 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.295 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.295 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.296 * [backup-simplify]: Simplify (- 0) into 0 2.296 * [backup-simplify]: Simplify (+ 0 0) into 0 2.297 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.298 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.299 * [backup-simplify]: Simplify (- 0) into 0 2.299 * [backup-simplify]: Simplify (+ 0 0) into 0 2.300 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.301 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 2.301 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.302 * [backup-simplify]: Simplify (- 0) into 0 2.302 * [backup-simplify]: Simplify (+ 0 0) into 0 2.303 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.304 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 2.304 * [backup-simplify]: Simplify 0 into 0 2.305 * [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 2.305 * [backup-simplify]: Simplify (- 0) into 0 2.305 * [backup-simplify]: Simplify (+ 0 0) into 0 2.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.308 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 2.308 * [backup-simplify]: Simplify 0 into 0 2.308 * [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 2.309 * [backup-simplify]: Simplify (- 0) into 0 2.309 * [backup-simplify]: Simplify (+ 0 0) into 0 2.310 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 2.311 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 2.311 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.312 * * * [progress]: simplifying candidates 2.314 * [simplify]: Simplifying: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 2.315 * * [simplify]: iteration 0: 112 enodes 2.334 * * [simplify]: iteration 1: 252 enodes 2.483 * * [simplify]: iteration 2: 1063 enodes 2.907 * * [simplify]: iteration complete: 5001 enodes 2.907 * * [simplify]: Extracting #0: cost 67 inf + 0 2.908 * * [simplify]: Extracting #1: cost 504 inf + 2 2.913 * * [simplify]: Extracting #2: cost 1432 inf + 13277 2.953 * * [simplify]: Extracting #3: cost 1583 inf + 117951 2.998 * * [simplify]: Extracting #4: cost 123 inf + 299454 3.060 * * [simplify]: Extracting #5: cost 18 inf + 314390 3.112 * * [simplify]: Extracting #6: cost 0 inf + 319527 3.195 * [simplify]: Simplified to: (expm1 (log (/ (+ 1.0 N) N))) (log1p (log (/ (+ 1.0 N) N))) (log (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N)))) (log (cbrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (* (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (* (/ (cbrt (+ 1.0 N)) (sqrt N)) (cbrt (+ 1.0 N)))) (log (/ (cbrt (+ 1.0 N)) (sqrt N))) (+ (log (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N)))) (log (/ (cbrt (+ 1.0 N)) N)) (log (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1.0 N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (sqrt (+ 1.0 N))) (log (/ (sqrt (+ 1.0 N)) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) 0 (log (/ (+ 1.0 N) N)) (log (+ 1.0 N)) (- (log N)) (log (+ 1.0 N)) (log N) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (* (* (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (expm1 (/ (+ 1.0 N) N)) (log1p (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (exp (/ (+ 1.0 N) N)) (* (/ (+ 1.0 N) N) (* (/ (+ 1.0 N) N) (/ (+ 1.0 N) N))) (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))) (cbrt (/ (+ 1.0 N) N)) (* (/ (+ 1.0 N) N) (* (/ (+ 1.0 N) N) (/ (+ 1.0 N) N))) (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N)) (- (- N) 1.0) (- N) (* (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (cbrt (+ 1.0 N)) (cbrt N))) (/ (cbrt (+ 1.0 N)) (cbrt N)) (* (/ (cbrt (+ 1.0 N)) (sqrt N)) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) (sqrt N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) N) (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1.0 N)) (cbrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (sqrt (+ 1.0 N)) (/ (sqrt (+ 1.0 N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (+ 1.0 N) (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ 1.0 N))) (/ N (sqrt (+ 1.0 N))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (* N (fma (- 1.0 N) 1.0 (* N N))) (* (- N 1.0) N) (- (fma N 1.0 (log 1.0)) (fma (* (/ N 1.0) (/ N 1.0)) 1/2 (log N))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 3.201 * * * [progress]: adding candidates to table 3.514 * * [progress]: iteration 3 / 4 3.514 * * * [progress]: picking best candidate 3.541 * * * * [pick]: Picked # 3.541 * * * [progress]: localizing error 3.578 * * * [progress]: generating rewritten candidates 3.578 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.593 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.600 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.608 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.621 * * * [progress]: generating series expansions 3.621 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.621 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1.0) N))) into (log (sqrt (/ (+ N 1.0) N))) 3.621 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 3.621 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.621 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.621 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.621 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.621 * [taylor]: Taking taylor expansion of N in N 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify 1 into 1 3.621 * [taylor]: Taking taylor expansion of 1.0 in N 3.621 * [backup-simplify]: Simplify 1.0 into 1.0 3.621 * [taylor]: Taking taylor expansion of N in N 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify 1 into 1 3.622 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.622 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.622 * [backup-simplify]: Simplify (sqrt 0) into 0 3.623 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.623 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.623 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.623 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.623 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.623 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.623 * [taylor]: Taking taylor expansion of N in N 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify 1 into 1 3.623 * [taylor]: Taking taylor expansion of 1.0 in N 3.624 * [backup-simplify]: Simplify 1.0 into 1.0 3.624 * [taylor]: Taking taylor expansion of N in N 3.624 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify 1 into 1 3.624 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.624 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.624 * [backup-simplify]: Simplify (sqrt 0) into 0 3.625 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.625 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.626 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.626 * [backup-simplify]: Simplify (+ 1 0) into 1 3.626 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.628 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.632 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 3.632 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.632 * [backup-simplify]: Simplify (+ 0 0) into 0 3.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.635 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.642 * [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 3.643 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.643 * [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))))) 3.643 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 3.643 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 3.643 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.643 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.643 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.643 * [taylor]: Taking taylor expansion of N in N 3.643 * [backup-simplify]: Simplify 0 into 0 3.643 * [backup-simplify]: Simplify 1 into 1 3.643 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.643 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.643 * [taylor]: Taking taylor expansion of N in N 3.643 * [backup-simplify]: Simplify 0 into 0 3.643 * [backup-simplify]: Simplify 1 into 1 3.644 * [backup-simplify]: Simplify (/ 1 1) into 1 3.644 * [taylor]: Taking taylor expansion of 1.0 in N 3.644 * [backup-simplify]: Simplify 1.0 into 1.0 3.644 * [backup-simplify]: Simplify (+ 1 0) into 1 3.644 * [backup-simplify]: Simplify (* 0 1) into 0 3.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.645 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.645 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.645 * [backup-simplify]: Simplify (sqrt 1) into 1 3.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.646 * [backup-simplify]: Simplify (+ 0 0) into 0 3.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.648 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.649 * [backup-simplify]: Simplify (log 1) into 0 3.649 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.649 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.649 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.649 * [taylor]: Taking taylor expansion of N in N 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify 1 into 1 3.649 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.649 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.649 * [taylor]: Taking taylor expansion of N in N 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify 1 into 1 3.649 * [backup-simplify]: Simplify (/ 1 1) into 1 3.649 * [taylor]: Taking taylor expansion of 1.0 in N 3.649 * [backup-simplify]: Simplify 1.0 into 1.0 3.649 * [backup-simplify]: Simplify (+ 1 0) into 1 3.650 * [backup-simplify]: Simplify (* 0 1) into 0 3.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.650 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.651 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.651 * [backup-simplify]: Simplify (sqrt 1) into 1 3.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.652 * [backup-simplify]: Simplify (+ 0 0) into 0 3.653 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.654 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.654 * [backup-simplify]: Simplify (log 1) into 0 3.654 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 3.658 * [backup-simplify]: Simplify 0.5 into 0.5 3.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.658 * [backup-simplify]: Simplify (+ 0 0) into 0 3.659 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.661 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.672 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 3.672 * [backup-simplify]: Simplify -0.25 into -0.25 3.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.672 * [backup-simplify]: Simplify (+ 0 0) into 0 3.673 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 3.692 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 3.692 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 3.692 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 3.693 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 3.693 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 3.693 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.693 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.693 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.693 * [taylor]: Taking taylor expansion of -1 in N 3.693 * [backup-simplify]: Simplify -1 into -1 3.693 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.693 * [taylor]: Taking taylor expansion of N in N 3.693 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify 1 into 1 3.693 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.693 * [taylor]: Taking taylor expansion of 1.0 in N 3.693 * [backup-simplify]: Simplify 1.0 into 1.0 3.693 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.693 * [taylor]: Taking taylor expansion of N in N 3.693 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify 1 into 1 3.693 * [backup-simplify]: Simplify (/ 1 1) into 1 3.694 * [backup-simplify]: Simplify (- 1) into -1 3.694 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.695 * [backup-simplify]: Simplify (* 0 -1) into 0 3.695 * [backup-simplify]: Simplify (* -1 0) into 0 3.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.696 * [backup-simplify]: Simplify (- 0) into 0 3.697 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.697 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.698 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.698 * [backup-simplify]: Simplify (sqrt 1) into 1 3.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.700 * [backup-simplify]: Simplify (- 0) into 0 3.700 * [backup-simplify]: Simplify (+ 0 0) into 0 3.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.703 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.704 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.704 * [backup-simplify]: Simplify (log 1) into 0 3.704 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.704 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.704 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.704 * [taylor]: Taking taylor expansion of -1 in N 3.704 * [backup-simplify]: Simplify -1 into -1 3.704 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.704 * [taylor]: Taking taylor expansion of N in N 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 1 into 1 3.704 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.704 * [taylor]: Taking taylor expansion of 1.0 in N 3.704 * [backup-simplify]: Simplify 1.0 into 1.0 3.704 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.704 * [taylor]: Taking taylor expansion of N in N 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 1 into 1 3.704 * [backup-simplify]: Simplify (/ 1 1) into 1 3.704 * [backup-simplify]: Simplify (- 1) into -1 3.705 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.705 * [backup-simplify]: Simplify (* 0 -1) into 0 3.705 * [backup-simplify]: Simplify (* -1 0) into 0 3.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.706 * [backup-simplify]: Simplify (- 0) into 0 3.706 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.707 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.707 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.707 * [backup-simplify]: Simplify (sqrt 1) into 1 3.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.708 * [backup-simplify]: Simplify (- 0) into 0 3.708 * [backup-simplify]: Simplify (+ 0 0) into 0 3.710 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.711 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.712 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.712 * [backup-simplify]: Simplify (log 1) into 0 3.712 * [backup-simplify]: Simplify 0 into 0 3.716 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 3.716 * [backup-simplify]: Simplify -0.5 into -0.5 3.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.716 * [backup-simplify]: Simplify (- 0) into 0 3.717 * [backup-simplify]: Simplify (+ 0 0) into 0 3.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.718 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.720 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.728 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 3.728 * [backup-simplify]: Simplify -0.25 into -0.25 3.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.729 * [backup-simplify]: Simplify (- 0) into 0 3.729 * [backup-simplify]: Simplify (+ 0 0) into 0 3.730 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.731 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.733 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 3.754 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0625) 1)) (pow 1 1)))) 6) into -0.16666666666666666 3.754 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 3.754 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 3)) (+ (* -0.25 (pow (/ 1 (- N)) 2)) (* -0.5 (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 3.754 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.754 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1.0) N))) into (log (sqrt (/ (+ N 1.0) N))) 3.755 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 3.755 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.755 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.755 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.755 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.755 * [taylor]: Taking taylor expansion of N in N 3.755 * [backup-simplify]: Simplify 0 into 0 3.755 * [backup-simplify]: Simplify 1 into 1 3.755 * [taylor]: Taking taylor expansion of 1.0 in N 3.755 * [backup-simplify]: Simplify 1.0 into 1.0 3.755 * [taylor]: Taking taylor expansion of N in N 3.755 * [backup-simplify]: Simplify 0 into 0 3.755 * [backup-simplify]: Simplify 1 into 1 3.755 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.756 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.756 * [backup-simplify]: Simplify (sqrt 0) into 0 3.757 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.758 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.758 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.758 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.758 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.758 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.758 * [taylor]: Taking taylor expansion of N in N 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 1 into 1 3.758 * [taylor]: Taking taylor expansion of 1.0 in N 3.758 * [backup-simplify]: Simplify 1.0 into 1.0 3.758 * [taylor]: Taking taylor expansion of N in N 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 1 into 1 3.760 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.761 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.761 * [backup-simplify]: Simplify (sqrt 0) into 0 3.762 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.763 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.763 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.763 * [backup-simplify]: Simplify (+ 1 0) into 1 3.764 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.767 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.772 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 3.772 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.773 * [backup-simplify]: Simplify (+ 0 0) into 0 3.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.777 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.789 * [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 3.789 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.789 * [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))))) 3.789 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 3.789 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 3.789 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.789 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.789 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.790 * [taylor]: Taking taylor expansion of N in N 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 1 into 1 3.790 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.790 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.790 * [taylor]: Taking taylor expansion of N in N 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 1 into 1 3.790 * [backup-simplify]: Simplify (/ 1 1) into 1 3.790 * [taylor]: Taking taylor expansion of 1.0 in N 3.790 * [backup-simplify]: Simplify 1.0 into 1.0 3.790 * [backup-simplify]: Simplify (+ 1 0) into 1 3.790 * [backup-simplify]: Simplify (* 0 1) into 0 3.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.791 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.792 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.792 * [backup-simplify]: Simplify (sqrt 1) into 1 3.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.792 * [backup-simplify]: Simplify (+ 0 0) into 0 3.794 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.795 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.795 * [backup-simplify]: Simplify (log 1) into 0 3.795 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.795 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.795 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.795 * [taylor]: Taking taylor expansion of N in N 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 1 into 1 3.795 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.795 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.795 * [taylor]: Taking taylor expansion of N in N 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 1 into 1 3.795 * [backup-simplify]: Simplify (/ 1 1) into 1 3.795 * [taylor]: Taking taylor expansion of 1.0 in N 3.795 * [backup-simplify]: Simplify 1.0 into 1.0 3.796 * [backup-simplify]: Simplify (+ 1 0) into 1 3.796 * [backup-simplify]: Simplify (* 0 1) into 0 3.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.797 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.797 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.797 * [backup-simplify]: Simplify (sqrt 1) into 1 3.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.798 * [backup-simplify]: Simplify (+ 0 0) into 0 3.800 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.800 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.801 * [backup-simplify]: Simplify (log 1) into 0 3.801 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 3.804 * [backup-simplify]: Simplify 0.5 into 0.5 3.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.805 * [backup-simplify]: Simplify (+ 0 0) into 0 3.806 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.807 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.815 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 3.815 * [backup-simplify]: Simplify -0.25 into -0.25 3.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.816 * [backup-simplify]: Simplify (+ 0 0) into 0 3.817 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.819 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 3.833 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 3.833 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 3.834 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 3.834 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 3.834 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 3.834 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.834 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.834 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.834 * [taylor]: Taking taylor expansion of -1 in N 3.834 * [backup-simplify]: Simplify -1 into -1 3.834 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.834 * [taylor]: Taking taylor expansion of N in N 3.834 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify 1 into 1 3.834 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.834 * [taylor]: Taking taylor expansion of 1.0 in N 3.834 * [backup-simplify]: Simplify 1.0 into 1.0 3.834 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.834 * [taylor]: Taking taylor expansion of N in N 3.834 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify 1 into 1 3.834 * [backup-simplify]: Simplify (/ 1 1) into 1 3.834 * [backup-simplify]: Simplify (- 1) into -1 3.835 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.835 * [backup-simplify]: Simplify (* 0 -1) into 0 3.835 * [backup-simplify]: Simplify (* -1 0) into 0 3.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.836 * [backup-simplify]: Simplify (- 0) into 0 3.836 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.837 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.837 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.837 * [backup-simplify]: Simplify (sqrt 1) into 1 3.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.838 * [backup-simplify]: Simplify (- 0) into 0 3.838 * [backup-simplify]: Simplify (+ 0 0) into 0 3.840 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.842 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.844 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.844 * [backup-simplify]: Simplify (log 1) into 0 3.844 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.844 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.844 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.844 * [taylor]: Taking taylor expansion of -1 in N 3.844 * [backup-simplify]: Simplify -1 into -1 3.844 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.844 * [taylor]: Taking taylor expansion of N in N 3.844 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify 1 into 1 3.844 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.844 * [taylor]: Taking taylor expansion of 1.0 in N 3.844 * [backup-simplify]: Simplify 1.0 into 1.0 3.844 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.844 * [taylor]: Taking taylor expansion of N in N 3.844 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify 1 into 1 3.845 * [backup-simplify]: Simplify (/ 1 1) into 1 3.845 * [backup-simplify]: Simplify (- 1) into -1 3.846 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.846 * [backup-simplify]: Simplify (* 0 -1) into 0 3.846 * [backup-simplify]: Simplify (* -1 0) into 0 3.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.847 * [backup-simplify]: Simplify (- 0) into 0 3.848 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.849 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.849 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.850 * [backup-simplify]: Simplify (sqrt 1) into 1 3.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.851 * [backup-simplify]: Simplify (- 0) into 0 3.851 * [backup-simplify]: Simplify (+ 0 0) into 0 3.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.858 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.860 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.860 * [backup-simplify]: Simplify (log 1) into 0 3.860 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 3.866 * [backup-simplify]: Simplify -0.5 into -0.5 3.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.868 * [backup-simplify]: Simplify (- 0) into 0 3.868 * [backup-simplify]: Simplify (+ 0 0) into 0 3.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.869 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.871 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.879 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 3.879 * [backup-simplify]: Simplify -0.25 into -0.25 3.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.880 * [backup-simplify]: Simplify (- 0) into 0 3.881 * [backup-simplify]: Simplify (+ 0 0) into 0 3.881 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.882 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.885 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 3.900 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0625) 1)) (pow 1 1)))) 6) into -0.16666666666666666 3.901 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 3.901 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 3)) (+ (* -0.25 (pow (/ 1 (- N)) 2)) (* -0.5 (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 3.901 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.901 * [backup-simplify]: Simplify (sqrt (/ (+ N 1.0) N)) into (sqrt (/ (+ N 1.0) N)) 3.901 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 3.901 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.901 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.901 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.901 * [taylor]: Taking taylor expansion of N in N 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify 1 into 1 3.901 * [taylor]: Taking taylor expansion of 1.0 in N 3.901 * [backup-simplify]: Simplify 1.0 into 1.0 3.901 * [taylor]: Taking taylor expansion of N in N 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify 1 into 1 3.902 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.902 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.902 * [backup-simplify]: Simplify (sqrt 0) into 0 3.903 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.903 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.903 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.903 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.903 * [taylor]: Taking taylor expansion of N in N 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify 1 into 1 3.903 * [taylor]: Taking taylor expansion of 1.0 in N 3.903 * [backup-simplify]: Simplify 1.0 into 1.0 3.903 * [taylor]: Taking taylor expansion of N in N 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify 1 into 1 3.904 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.904 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.904 * [backup-simplify]: Simplify (sqrt 0) into 0 3.905 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.905 * [backup-simplify]: Simplify (+ 1 0) into 1 3.906 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.908 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.908 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.908 * [backup-simplify]: Simplify (+ 0 0) into 0 3.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.911 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.911 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.911 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 3.911 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 3.911 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 3.911 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.911 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.911 * [taylor]: Taking taylor expansion of N in N 3.911 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify 1 into 1 3.911 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.911 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.911 * [taylor]: Taking taylor expansion of N in N 3.911 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify 1 into 1 3.911 * [backup-simplify]: Simplify (/ 1 1) into 1 3.911 * [taylor]: Taking taylor expansion of 1.0 in N 3.912 * [backup-simplify]: Simplify 1.0 into 1.0 3.912 * [backup-simplify]: Simplify (+ 1 0) into 1 3.912 * [backup-simplify]: Simplify (* 0 1) into 0 3.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.913 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.913 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.913 * [backup-simplify]: Simplify (sqrt 1) into 1 3.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.914 * [backup-simplify]: Simplify (+ 0 0) into 0 3.916 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.916 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.916 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.916 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.916 * [taylor]: Taking taylor expansion of N in N 3.916 * [backup-simplify]: Simplify 0 into 0 3.916 * [backup-simplify]: Simplify 1 into 1 3.916 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.916 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.917 * [taylor]: Taking taylor expansion of N in N 3.917 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify 1 into 1 3.917 * [backup-simplify]: Simplify (/ 1 1) into 1 3.917 * [taylor]: Taking taylor expansion of 1.0 in N 3.917 * [backup-simplify]: Simplify 1.0 into 1.0 3.917 * [backup-simplify]: Simplify (+ 1 0) into 1 3.917 * [backup-simplify]: Simplify (* 0 1) into 0 3.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.918 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.918 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.919 * [backup-simplify]: Simplify (sqrt 1) into 1 3.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.919 * [backup-simplify]: Simplify (+ 0 0) into 0 3.921 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.922 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.922 * [backup-simplify]: Simplify 1 into 1 3.922 * [backup-simplify]: Simplify 0.5 into 0.5 3.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.923 * [backup-simplify]: Simplify (+ 0 0) into 0 3.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.925 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.925 * [backup-simplify]: Simplify -0.125 into -0.125 3.925 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 3.926 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 3.926 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 3.926 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.926 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.926 * [taylor]: Taking taylor expansion of -1 in N 3.926 * [backup-simplify]: Simplify -1 into -1 3.926 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.926 * [taylor]: Taking taylor expansion of N in N 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify 1 into 1 3.926 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.926 * [taylor]: Taking taylor expansion of 1.0 in N 3.926 * [backup-simplify]: Simplify 1.0 into 1.0 3.926 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.926 * [taylor]: Taking taylor expansion of N in N 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify 1 into 1 3.926 * [backup-simplify]: Simplify (/ 1 1) into 1 3.926 * [backup-simplify]: Simplify (- 1) into -1 3.927 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.927 * [backup-simplify]: Simplify (* 0 -1) into 0 3.927 * [backup-simplify]: Simplify (* -1 0) into 0 3.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.928 * [backup-simplify]: Simplify (- 0) into 0 3.928 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.929 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.929 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.929 * [backup-simplify]: Simplify (sqrt 1) into 1 3.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.930 * [backup-simplify]: Simplify (- 0) into 0 3.930 * [backup-simplify]: Simplify (+ 0 0) into 0 3.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.933 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.934 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.934 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.934 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.934 * [taylor]: Taking taylor expansion of -1 in N 3.934 * [backup-simplify]: Simplify -1 into -1 3.934 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.934 * [taylor]: Taking taylor expansion of N in N 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify 1 into 1 3.934 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.934 * [taylor]: Taking taylor expansion of 1.0 in N 3.934 * [backup-simplify]: Simplify 1.0 into 1.0 3.934 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.934 * [taylor]: Taking taylor expansion of N in N 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify 1 into 1 3.935 * [backup-simplify]: Simplify (/ 1 1) into 1 3.935 * [backup-simplify]: Simplify (- 1) into -1 3.935 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.935 * [backup-simplify]: Simplify (* 0 -1) into 0 3.935 * [backup-simplify]: Simplify (* -1 0) into 0 3.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.936 * [backup-simplify]: Simplify (- 0) into 0 3.936 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.937 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.937 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.937 * [backup-simplify]: Simplify (sqrt 1) into 1 3.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.938 * [backup-simplify]: Simplify (- 0) into 0 3.938 * [backup-simplify]: Simplify (+ 0 0) into 0 3.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.942 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.943 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.943 * [backup-simplify]: Simplify 1 into 1 3.943 * [backup-simplify]: Simplify -0.5 into -0.5 3.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.944 * [backup-simplify]: Simplify (- 0) into 0 3.948 * [backup-simplify]: Simplify (+ 0 0) into 0 3.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.951 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.954 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.954 * [backup-simplify]: Simplify -0.125 into -0.125 3.954 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- N)) 2)) (+ (* -0.5 (/ 1 (- N))) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 3.955 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.955 * [backup-simplify]: Simplify (sqrt (/ (+ N 1.0) N)) into (sqrt (/ (+ N 1.0) N)) 3.955 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 3.955 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.956 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.956 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.956 * [taylor]: Taking taylor expansion of N in N 3.956 * [backup-simplify]: Simplify 0 into 0 3.956 * [backup-simplify]: Simplify 1 into 1 3.956 * [taylor]: Taking taylor expansion of 1.0 in N 3.956 * [backup-simplify]: Simplify 1.0 into 1.0 3.956 * [taylor]: Taking taylor expansion of N in N 3.956 * [backup-simplify]: Simplify 0 into 0 3.956 * [backup-simplify]: Simplify 1 into 1 3.956 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.957 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.957 * [backup-simplify]: Simplify (sqrt 0) into 0 3.959 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.959 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.959 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.959 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.959 * [taylor]: Taking taylor expansion of N in N 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify 1 into 1 3.959 * [taylor]: Taking taylor expansion of 1.0 in N 3.959 * [backup-simplify]: Simplify 1.0 into 1.0 3.959 * [taylor]: Taking taylor expansion of N in N 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify 1 into 1 3.959 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.960 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.960 * [backup-simplify]: Simplify (sqrt 0) into 0 3.962 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.962 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.962 * [backup-simplify]: Simplify (+ 1 0) into 1 3.963 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.966 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.966 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.967 * [backup-simplify]: Simplify (+ 0 0) into 0 3.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.971 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.972 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 3.972 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 3.972 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 3.972 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.972 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.972 * [taylor]: Taking taylor expansion of N in N 3.972 * [backup-simplify]: Simplify 0 into 0 3.972 * [backup-simplify]: Simplify 1 into 1 3.972 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.972 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.972 * [taylor]: Taking taylor expansion of N in N 3.972 * [backup-simplify]: Simplify 0 into 0 3.972 * [backup-simplify]: Simplify 1 into 1 3.973 * [backup-simplify]: Simplify (/ 1 1) into 1 3.973 * [taylor]: Taking taylor expansion of 1.0 in N 3.973 * [backup-simplify]: Simplify 1.0 into 1.0 3.973 * [backup-simplify]: Simplify (+ 1 0) into 1 3.974 * [backup-simplify]: Simplify (* 0 1) into 0 3.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.975 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.975 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.976 * [backup-simplify]: Simplify (sqrt 1) into 1 3.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.977 * [backup-simplify]: Simplify (+ 0 0) into 0 3.980 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.981 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.981 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.981 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.981 * [taylor]: Taking taylor expansion of N in N 3.981 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify 1 into 1 3.981 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.981 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.981 * [taylor]: Taking taylor expansion of N in N 3.982 * [backup-simplify]: Simplify 0 into 0 3.982 * [backup-simplify]: Simplify 1 into 1 3.982 * [backup-simplify]: Simplify (/ 1 1) into 1 3.982 * [taylor]: Taking taylor expansion of 1.0 in N 3.982 * [backup-simplify]: Simplify 1.0 into 1.0 3.982 * [backup-simplify]: Simplify (+ 1 0) into 1 3.983 * [backup-simplify]: Simplify (* 0 1) into 0 3.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.984 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.985 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.985 * [backup-simplify]: Simplify (sqrt 1) into 1 3.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.986 * [backup-simplify]: Simplify (+ 0 0) into 0 3.989 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.990 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.990 * [backup-simplify]: Simplify 1 into 1 3.990 * [backup-simplify]: Simplify 0.5 into 0.5 3.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.992 * [backup-simplify]: Simplify (+ 0 0) into 0 3.993 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.996 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.996 * [backup-simplify]: Simplify -0.125 into -0.125 3.997 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 3.997 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 3.997 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 3.997 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.997 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.997 * [taylor]: Taking taylor expansion of -1 in N 3.997 * [backup-simplify]: Simplify -1 into -1 3.997 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.997 * [taylor]: Taking taylor expansion of N in N 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 1 into 1 3.997 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.997 * [taylor]: Taking taylor expansion of 1.0 in N 3.997 * [backup-simplify]: Simplify 1.0 into 1.0 3.997 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.997 * [taylor]: Taking taylor expansion of N in N 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 1 into 1 3.998 * [backup-simplify]: Simplify (/ 1 1) into 1 3.998 * [backup-simplify]: Simplify (- 1) into -1 3.999 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.999 * [backup-simplify]: Simplify (* 0 -1) into 0 3.999 * [backup-simplify]: Simplify (* -1 0) into 0 4.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.000 * [backup-simplify]: Simplify (- 0) into 0 4.001 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.002 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.002 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.003 * [backup-simplify]: Simplify (sqrt 1) into 1 4.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.004 * [backup-simplify]: Simplify (- 0) into 0 4.004 * [backup-simplify]: Simplify (+ 0 0) into 0 4.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 4.009 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 4.011 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 4.011 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.011 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.011 * [taylor]: Taking taylor expansion of -1 in N 4.011 * [backup-simplify]: Simplify -1 into -1 4.011 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.011 * [taylor]: Taking taylor expansion of N in N 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 1 into 1 4.011 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.011 * [taylor]: Taking taylor expansion of 1.0 in N 4.011 * [backup-simplify]: Simplify 1.0 into 1.0 4.011 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.011 * [taylor]: Taking taylor expansion of N in N 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 1 into 1 4.012 * [backup-simplify]: Simplify (/ 1 1) into 1 4.012 * [backup-simplify]: Simplify (- 1) into -1 4.013 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.013 * [backup-simplify]: Simplify (* 0 -1) into 0 4.013 * [backup-simplify]: Simplify (* -1 0) into 0 4.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.015 * [backup-simplify]: Simplify (- 0) into 0 4.015 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.016 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.016 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.017 * [backup-simplify]: Simplify (sqrt 1) into 1 4.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.018 * [backup-simplify]: Simplify (- 0) into 0 4.018 * [backup-simplify]: Simplify (+ 0 0) into 0 4.021 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 4.023 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 4.025 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 4.025 * [backup-simplify]: Simplify 1 into 1 4.025 * [backup-simplify]: Simplify -0.5 into -0.5 4.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.026 * [backup-simplify]: Simplify (- 0) into 0 4.027 * [backup-simplify]: Simplify (+ 0 0) into 0 4.028 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 4.030 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 4.033 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 4.033 * [backup-simplify]: Simplify -0.125 into -0.125 4.033 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- N)) 2)) (+ (* -0.5 (/ 1 (- N))) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 4.033 * * * [progress]: simplifying candidates 4.037 * [simplify]: Simplifying: (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) 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cost 279 inf + 82454 6.693 * * [simplify]: Extracting #5: cost 88 inf + 128621 6.761 * * [simplify]: Extracting #6: cost 11 inf + 148090 6.828 * * [simplify]: Extracting #7: cost 0 inf + 150991 6.899 * [simplify]: Simplified to: (expm1 (log (sqrt (/ (+ 1.0 N) N)))) (log1p (log (sqrt (/ (+ 1.0 N) N)))) (log (* (cbrt (sqrt (/ (+ 1.0 N) N))) (cbrt (sqrt (/ (+ 1.0 N) N))))) (log (cbrt (sqrt (/ (+ 1.0 N) N)))) (log (fabs (cbrt (/ (+ 1.0 N) N)))) (log (sqrt (cbrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (fabs (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (* (/ (cbrt (+ 1.0 N)) (sqrt N)) (cbrt (+ 1.0 N))))) (log (sqrt (/ (cbrt (+ 1.0 N)) (sqrt N)))) (log (fabs (cbrt (+ 1.0 N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) N))) (log (sqrt (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) 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(+ 1.0 N) (sqrt N))) 1 (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (/ 1 (cbrt N)) (cbrt N))) (sqrt (/ (+ 1.0 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1.0 N) (sqrt N))) 1 (sqrt (/ (+ 1.0 N) N)) 1 (sqrt (/ (+ 1.0 N) N)) (sqrt (+ 1.0 N)) (sqrt (/ 1 N)) (sqrt (+ 1.0 N)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ 1.0 N) N))) (sqrt (sqrt (/ (+ 1.0 N) N))) (fma N (* +nan.0 N) (- (log +nan.0) (* +nan.0 N))) (fma (/ 1 (* N N)) (- (/ 0.16666666666666666 N) 0.25) (/ 0.5 N)) (fma (/ 1 (* N N)) (- (/ 0.16666666666666666 N) 0.25) (/ 0.5 N)) (fma N (* +nan.0 N) (- (log +nan.0) (* +nan.0 N))) (fma (/ 1 (* N N)) (- (/ 0.16666666666666666 N) 0.25) (/ 0.5 N)) (fma (/ 1 (* N N)) (- (/ 0.16666666666666666 N) 0.25) (/ 0.5 N)) (fma (- +nan.0) (- N (* N N)) (- +nan.0)) (fma (/ 1 N) (- 0.5 (/ 0.125 N)) 1) (fma (/ 1 N) (- 0.5 (/ 0.125 N)) 1) (fma (- +nan.0) (- N (* N N)) (- +nan.0)) (fma (/ 1 N) (- 0.5 (/ 0.125 N)) 1) (fma (/ 1 N) (- 0.5 (/ 0.125 N)) 1) 6.918 * * * [progress]: adding candidates to table 7.664 * * [progress]: iteration 4 / 4 7.664 * * * [progress]: picking best candidate 7.699 * * * * [pick]: Picked # 7.699 * * * [progress]: localizing error 7.770 * * * [progress]: generating rewritten candidates 7.770 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 7.778 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 7.785 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 7.794 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 7.811 * * * [progress]: generating series expansions 7.811 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 7.811 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ N 1.0) N)))) into (log (pow (/ (+ N 1.0) N) 1/4)) 7.811 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in (N) around 0 7.811 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 7.811 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 7.811 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 7.811 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 7.811 * [taylor]: Taking taylor expansion of 1/4 in N 7.811 * [backup-simplify]: Simplify 1/4 into 1/4 7.811 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.811 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.811 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.811 * [taylor]: Taking taylor expansion of N in N 7.811 * [backup-simplify]: Simplify 0 into 0 7.811 * [backup-simplify]: Simplify 1 into 1 7.811 * [taylor]: Taking taylor expansion of 1.0 in N 7.811 * [backup-simplify]: Simplify 1.0 into 1.0 7.811 * [taylor]: Taking taylor expansion of N in N 7.811 * [backup-simplify]: Simplify 0 into 0 7.811 * [backup-simplify]: Simplify 1 into 1 7.812 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.813 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.813 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.814 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.814 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 7.815 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 7.816 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 7.816 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 7.816 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 7.816 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 7.816 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 7.816 * [taylor]: Taking taylor expansion of 1/4 in N 7.816 * [backup-simplify]: Simplify 1/4 into 1/4 7.816 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.816 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.816 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.816 * [taylor]: Taking taylor expansion of N in N 7.816 * [backup-simplify]: Simplify 0 into 0 7.816 * [backup-simplify]: Simplify 1 into 1 7.816 * [taylor]: Taking taylor expansion of 1.0 in N 7.816 * [backup-simplify]: Simplify 1.0 into 1.0 7.816 * [taylor]: Taking taylor expansion of N in N 7.816 * [backup-simplify]: Simplify 0 into 0 7.816 * [backup-simplify]: Simplify 1 into 1 7.816 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.817 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.817 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.818 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.819 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 7.819 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 7.820 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 7.820 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 7.821 * [backup-simplify]: Simplify (+ 1 0) into 1 7.822 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 7.828 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.829 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.830 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log 1.0) (log N)))) into 0.25 7.832 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) 7.834 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.25 (exp (* 1/4 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 1) into 0.25 7.834 * [backup-simplify]: Simplify 0.25 into 0.25 7.834 * [backup-simplify]: Simplify (+ 0 0) into 0 7.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.841 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 7.842 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.843 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 7.850 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2))))) 7.853 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.25 (exp (* 1/4 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/8 (pow 1.0 2)) 7.854 * [backup-simplify]: Simplify (/ -1/8 (pow 1.0 2)) into (/ -1/8 (pow 1.0 2)) 7.855 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow 1.0 2)) (pow N 2)) (+ (* 0.25 N) (* 1/4 (- (log 1.0) (log N))))) into (- (+ (* 1/4 (log 1.0)) (* 0.25 N)) (+ (* 1/8 (/ (pow N 2) (pow 1.0 2))) (* 1/4 (log N)))) 7.855 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) 7.855 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in (N) around 0 7.855 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 7.855 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 7.855 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 7.855 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 7.855 * [taylor]: Taking taylor expansion of 1/4 in N 7.855 * [backup-simplify]: Simplify 1/4 into 1/4 7.855 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.855 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.855 * [taylor]: Taking taylor expansion of N in N 7.855 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify 1 into 1 7.855 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.855 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.855 * [taylor]: Taking taylor expansion of N in N 7.855 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify 1 into 1 7.856 * [backup-simplify]: Simplify (/ 1 1) into 1 7.856 * [taylor]: Taking taylor expansion of 1.0 in N 7.856 * [backup-simplify]: Simplify 1.0 into 1.0 7.856 * [backup-simplify]: Simplify (+ 1 0) into 1 7.856 * [backup-simplify]: Simplify (* 0 1) into 0 7.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.857 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.857 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.858 * [backup-simplify]: Simplify (log 1) into 0 7.858 * [backup-simplify]: Simplify (* 1/4 0) into 0 7.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.859 * [backup-simplify]: Simplify (+ 0 0) into 0 7.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.865 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.866 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 7.867 * [backup-simplify]: Simplify (exp 0) into 1 7.867 * [backup-simplify]: Simplify (log 1) into 0 7.867 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 7.867 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 7.867 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 7.867 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 7.867 * [taylor]: Taking taylor expansion of 1/4 in N 7.867 * [backup-simplify]: Simplify 1/4 into 1/4 7.867 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.867 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.867 * [taylor]: Taking taylor expansion of N in N 7.867 * [backup-simplify]: Simplify 0 into 0 7.867 * [backup-simplify]: Simplify 1 into 1 7.867 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.867 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.867 * [taylor]: Taking taylor expansion of N in N 7.867 * [backup-simplify]: Simplify 0 into 0 7.867 * [backup-simplify]: Simplify 1 into 1 7.868 * [backup-simplify]: Simplify (/ 1 1) into 1 7.868 * [taylor]: Taking taylor expansion of 1.0 in N 7.868 * [backup-simplify]: Simplify 1.0 into 1.0 7.868 * [backup-simplify]: Simplify (+ 1 0) into 1 7.869 * [backup-simplify]: Simplify (* 0 1) into 0 7.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.870 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.871 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.871 * [backup-simplify]: Simplify (log 1) into 0 7.871 * [backup-simplify]: Simplify (* 1/4 0) into 0 7.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.873 * [backup-simplify]: Simplify (+ 0 0) into 0 7.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.884 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.885 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 7.885 * [backup-simplify]: Simplify (exp 0) into 1 7.886 * [backup-simplify]: Simplify (log 1) into 0 7.886 * [backup-simplify]: Simplify 0 into 0 7.890 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 1) 1)))) into 0.25 7.896 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.25) 1)) (pow 1 1)))) 1) into 0.25 7.896 * [backup-simplify]: Simplify 0.25 into 0.25 7.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.897 * [backup-simplify]: Simplify (+ 0 0) into 0 7.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 7.911 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 7.913 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.125) 7.917 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into -0.09375 7.926 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.25) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.09375) 1)) (pow 1 1)))) 2) into -0.125 7.926 * [backup-simplify]: Simplify -0.125 into -0.125 7.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.927 * [backup-simplify]: Simplify (+ 0 0) into 0 7.927 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 7.939 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 7.942 * [backup-simplify]: Simplify (+ (* 1/4 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.08333333333333333 7.956 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 3) 6)) (* (/ (pow 0.25 1) 1) (/ (pow (- 0.125) 1) 1)) (* (/ (pow 0.08333333333333333 1) 1)))) into 0.0546875 7.976 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.25) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.25) 1) (pow (* 2 -0.09375) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0546875) 1)) (pow 1 1)))) 6) into 0.08333333333333333 7.976 * [backup-simplify]: Simplify 0.08333333333333333 into 0.08333333333333333 7.976 * [backup-simplify]: Simplify (+ (* 0.08333333333333333 (pow (/ 1 N) 3)) (+ (* -0.125 (pow (/ 1 N) 2)) (* 0.25 (/ 1 N)))) into (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) 7.977 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) 7.977 * [approximate]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in (N) around 0 7.977 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 7.977 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 7.977 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 7.977 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.977 * [taylor]: Taking taylor expansion of -1 in N 7.977 * [backup-simplify]: Simplify -1 into -1 7.977 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.977 * [taylor]: Taking taylor expansion of N in N 7.977 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify 1 into 1 7.977 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.977 * [taylor]: Taking taylor expansion of 1.0 in N 7.977 * [backup-simplify]: Simplify 1.0 into 1.0 7.977 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.977 * [taylor]: Taking taylor expansion of N in N 7.977 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify 1 into 1 7.977 * [backup-simplify]: Simplify (/ 1 1) into 1 7.977 * [backup-simplify]: Simplify (- 1) into -1 7.978 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.978 * [backup-simplify]: Simplify (* 0 -1) into 0 7.978 * [backup-simplify]: Simplify (* -1 0) into 0 7.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.979 * [backup-simplify]: Simplify (- 0) into 0 7.979 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.980 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.980 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.980 * [backup-simplify]: Simplify (sqrt 1) into 1 7.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.981 * [backup-simplify]: Simplify (- 0) into 0 7.982 * [backup-simplify]: Simplify (+ 0 0) into 0 7.984 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 7.985 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 7.986 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 7.986 * [backup-simplify]: Simplify (sqrt 1) into 1 7.987 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 7.987 * [backup-simplify]: Simplify (log 1) into 0 7.987 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 7.987 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 7.987 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 7.987 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.987 * [taylor]: Taking taylor expansion of -1 in N 7.987 * [backup-simplify]: Simplify -1 into -1 7.987 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.987 * [taylor]: Taking taylor expansion of N in N 7.987 * [backup-simplify]: Simplify 0 into 0 7.987 * [backup-simplify]: Simplify 1 into 1 7.987 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.987 * [taylor]: Taking taylor expansion of 1.0 in N 7.987 * [backup-simplify]: Simplify 1.0 into 1.0 7.987 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.987 * [taylor]: Taking taylor expansion of N in N 7.987 * [backup-simplify]: Simplify 0 into 0 7.987 * [backup-simplify]: Simplify 1 into 1 7.987 * [backup-simplify]: Simplify (/ 1 1) into 1 7.988 * [backup-simplify]: Simplify (- 1) into -1 7.988 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.988 * [backup-simplify]: Simplify (* 0 -1) into 0 7.988 * [backup-simplify]: Simplify (* -1 0) into 0 7.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.989 * [backup-simplify]: Simplify (- 0) into 0 7.989 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.990 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.990 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.991 * [backup-simplify]: Simplify (sqrt 1) into 1 7.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.992 * [backup-simplify]: Simplify (- 0) into 0 7.992 * [backup-simplify]: Simplify (+ 0 0) into 0 7.994 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 7.995 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 7.996 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 7.996 * [backup-simplify]: Simplify (sqrt 1) into 1 7.997 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 7.997 * [backup-simplify]: Simplify (log 1) into 0 7.997 * [backup-simplify]: Simplify 0 into 0 8.000 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.25) 1)) (pow 1 1)))) 1) into -0.25 8.001 * [backup-simplify]: Simplify -0.25 into -0.25 8.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.001 * [backup-simplify]: Simplify (- 0) into 0 8.002 * [backup-simplify]: Simplify (+ 0 0) into 0 8.002 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 8.004 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 8.006 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 8.008 * [backup-simplify]: Simplify (/ (- -0.125 (pow -0.25 2) (+)) (* 2 1)) into -0.09375 8.019 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.25) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.09375) 1)) (pow 1 1)))) 2) into -0.125 8.020 * [backup-simplify]: Simplify -0.125 into -0.125 8.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.021 * [backup-simplify]: Simplify (- 0) into 0 8.021 * [backup-simplify]: Simplify (+ 0 0) into 0 8.023 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 8.025 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 8.029 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 8.034 * [backup-simplify]: Simplify (/ (- -0.0625 (+ (* 2 (* -0.25 -0.09375)))) (* 2 1)) into -0.0546875 8.050 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.25) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.25) 1) (pow (* 2 -0.09375) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0546875) 1)) (pow 1 1)))) 6) into -0.08333333333333333 8.050 * [backup-simplify]: Simplify -0.08333333333333333 into -0.08333333333333333 8.050 * [backup-simplify]: Simplify (+ (* -0.08333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.125 (pow (/ 1 (- N)) 2)) (* -0.25 (/ 1 (- N))))) into (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) 8.051 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 8.051 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ N 1.0) N)))) into (log (pow (/ (+ N 1.0) N) 1/4)) 8.051 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in (N) around 0 8.051 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 8.051 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 8.051 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 8.051 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 8.051 * [taylor]: Taking taylor expansion of 1/4 in N 8.051 * [backup-simplify]: Simplify 1/4 into 1/4 8.051 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 8.051 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.051 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.051 * [taylor]: Taking taylor expansion of N in N 8.051 * [backup-simplify]: Simplify 0 into 0 8.051 * [backup-simplify]: Simplify 1 into 1 8.051 * [taylor]: Taking taylor expansion of 1.0 in N 8.051 * [backup-simplify]: Simplify 1.0 into 1.0 8.051 * [taylor]: Taking taylor expansion of N in N 8.051 * [backup-simplify]: Simplify 0 into 0 8.051 * [backup-simplify]: Simplify 1 into 1 8.052 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.052 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.052 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.053 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 8.053 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 8.054 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 8.054 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 8.054 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 8.054 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 8.054 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 8.054 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 8.054 * [taylor]: Taking taylor expansion of 1/4 in N 8.054 * [backup-simplify]: Simplify 1/4 into 1/4 8.054 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 8.054 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.054 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.054 * [taylor]: Taking taylor expansion of N in N 8.054 * [backup-simplify]: Simplify 0 into 0 8.054 * [backup-simplify]: Simplify 1 into 1 8.054 * [taylor]: Taking taylor expansion of 1.0 in N 8.054 * [backup-simplify]: Simplify 1.0 into 1.0 8.054 * [taylor]: Taking taylor expansion of N in N 8.054 * [backup-simplify]: Simplify 0 into 0 8.054 * [backup-simplify]: Simplify 1 into 1 8.055 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.055 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.055 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.056 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 8.056 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 8.056 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 8.057 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 8.057 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 8.057 * [backup-simplify]: Simplify (+ 1 0) into 1 8.058 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 8.061 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 8.061 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 8.062 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log 1.0) (log N)))) into 0.25 8.064 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) 8.064 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.25 (exp (* 1/4 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 1) into 0.25 8.064 * [backup-simplify]: Simplify 0.25 into 0.25 8.065 * [backup-simplify]: Simplify (+ 0 0) into 0 8.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.071 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 8.072 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 8.074 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 8.080 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2))))) 8.083 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.25 (exp (* 1/4 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/8 (pow 1.0 2)) 8.084 * [backup-simplify]: Simplify (/ -1/8 (pow 1.0 2)) into (/ -1/8 (pow 1.0 2)) 8.085 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow 1.0 2)) (pow N 2)) (+ (* 0.25 N) (* 1/4 (- (log 1.0) (log N))))) into (- (+ (* 1/4 (log 1.0)) (* 0.25 N)) (+ (* 1/8 (/ (pow N 2) (pow 1.0 2))) (* 1/4 (log N)))) 8.085 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) 8.085 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in (N) around 0 8.085 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 8.085 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 8.085 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 8.085 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 8.085 * [taylor]: Taking taylor expansion of 1/4 in N 8.085 * [backup-simplify]: Simplify 1/4 into 1/4 8.086 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 8.086 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.086 * [taylor]: Taking taylor expansion of N in N 8.086 * [backup-simplify]: Simplify 0 into 0 8.086 * [backup-simplify]: Simplify 1 into 1 8.086 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.086 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.086 * [taylor]: Taking taylor expansion of N in N 8.086 * [backup-simplify]: Simplify 0 into 0 8.086 * [backup-simplify]: Simplify 1 into 1 8.086 * [backup-simplify]: Simplify (/ 1 1) into 1 8.086 * [taylor]: Taking taylor expansion of 1.0 in N 8.086 * [backup-simplify]: Simplify 1.0 into 1.0 8.086 * [backup-simplify]: Simplify (+ 1 0) into 1 8.086 * [backup-simplify]: Simplify (* 0 1) into 0 8.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.087 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.088 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 8.088 * [backup-simplify]: Simplify (log 1) into 0 8.088 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.089 * [backup-simplify]: Simplify (+ 0 0) into 0 8.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 8.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 8.095 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 8.095 * [backup-simplify]: Simplify (exp 0) into 1 8.096 * [backup-simplify]: Simplify (log 1) into 0 8.096 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 8.096 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 8.096 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 8.096 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 8.096 * [taylor]: Taking taylor expansion of 1/4 in N 8.096 * [backup-simplify]: Simplify 1/4 into 1/4 8.096 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 8.096 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.096 * [taylor]: Taking taylor expansion of N in N 8.096 * [backup-simplify]: Simplify 0 into 0 8.096 * [backup-simplify]: Simplify 1 into 1 8.096 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.096 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.096 * [taylor]: Taking taylor expansion of N in N 8.096 * [backup-simplify]: Simplify 0 into 0 8.096 * [backup-simplify]: Simplify 1 into 1 8.096 * [backup-simplify]: Simplify (/ 1 1) into 1 8.096 * [taylor]: Taking taylor expansion of 1.0 in N 8.096 * [backup-simplify]: Simplify 1.0 into 1.0 8.097 * [backup-simplify]: Simplify (+ 1 0) into 1 8.097 * [backup-simplify]: Simplify (* 0 1) into 0 8.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.098 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.098 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 8.098 * [backup-simplify]: Simplify (log 1) into 0 8.099 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.100 * [backup-simplify]: Simplify (+ 0 0) into 0 8.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 8.107 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 8.108 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 8.108 * [backup-simplify]: Simplify (exp 0) into 1 8.108 * [backup-simplify]: Simplify (log 1) into 0 8.108 * [backup-simplify]: Simplify 0 into 0 8.110 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 1) 1)))) into 0.25 8.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.25) 1)) (pow 1 1)))) 1) into 0.25 8.114 * [backup-simplify]: Simplify 0.25 into 0.25 8.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.115 * [backup-simplify]: Simplify (+ 0 0) into 0 8.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 8.122 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 8.123 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.125) 8.127 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into -0.09375 8.135 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.25) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.09375) 1)) (pow 1 1)))) 2) into -0.125 8.135 * [backup-simplify]: Simplify -0.125 into -0.125 8.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.136 * [backup-simplify]: Simplify (+ 0 0) into 0 8.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 8.152 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 8.155 * [backup-simplify]: Simplify (+ (* 1/4 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.08333333333333333 8.169 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 3) 6)) (* (/ (pow 0.25 1) 1) (/ (pow (- 0.125) 1) 1)) (* (/ (pow 0.08333333333333333 1) 1)))) into 0.0546875 8.186 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.25) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.25) 1) (pow (* 2 -0.09375) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0546875) 1)) (pow 1 1)))) 6) into 0.08333333333333333 8.186 * [backup-simplify]: Simplify 0.08333333333333333 into 0.08333333333333333 8.187 * [backup-simplify]: Simplify (+ (* 0.08333333333333333 (pow (/ 1 N) 3)) (+ (* -0.125 (pow (/ 1 N) 2)) (* 0.25 (/ 1 N)))) into (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) 8.187 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) 8.187 * [approximate]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in (N) around 0 8.187 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 8.187 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 8.187 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 8.187 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.187 * [taylor]: Taking taylor expansion of -1 in N 8.187 * [backup-simplify]: Simplify -1 into -1 8.187 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.187 * [taylor]: Taking taylor expansion of N in N 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify 1 into 1 8.187 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.187 * [taylor]: Taking taylor expansion of 1.0 in N 8.187 * [backup-simplify]: Simplify 1.0 into 1.0 8.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.187 * [taylor]: Taking taylor expansion of N in N 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify 1 into 1 8.187 * [backup-simplify]: Simplify (/ 1 1) into 1 8.188 * [backup-simplify]: Simplify (- 1) into -1 8.188 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.188 * [backup-simplify]: Simplify (* 0 -1) into 0 8.188 * [backup-simplify]: Simplify (* -1 0) into 0 8.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.189 * [backup-simplify]: Simplify (- 0) into 0 8.189 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.190 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.190 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.190 * [backup-simplify]: Simplify (sqrt 1) into 1 8.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.191 * [backup-simplify]: Simplify (- 0) into 0 8.191 * [backup-simplify]: Simplify (+ 0 0) into 0 8.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 8.194 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 8.195 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 8.195 * [backup-simplify]: Simplify (sqrt 1) into 1 8.196 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 8.196 * [backup-simplify]: Simplify (log 1) into 0 8.196 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 8.196 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 8.196 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 8.196 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.196 * [taylor]: Taking taylor expansion of -1 in N 8.196 * [backup-simplify]: Simplify -1 into -1 8.196 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.196 * [taylor]: Taking taylor expansion of N in N 8.196 * [backup-simplify]: Simplify 0 into 0 8.196 * [backup-simplify]: Simplify 1 into 1 8.196 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.196 * [taylor]: Taking taylor expansion of 1.0 in N 8.196 * [backup-simplify]: Simplify 1.0 into 1.0 8.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.196 * [taylor]: Taking taylor expansion of N in N 8.196 * [backup-simplify]: Simplify 0 into 0 8.196 * [backup-simplify]: Simplify 1 into 1 8.198 * [backup-simplify]: Simplify (/ 1 1) into 1 8.198 * [backup-simplify]: Simplify (- 1) into -1 8.198 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.199 * [backup-simplify]: Simplify (* 0 -1) into 0 8.199 * [backup-simplify]: Simplify (* -1 0) into 0 8.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.200 * [backup-simplify]: Simplify (- 0) into 0 8.200 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.200 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.201 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.201 * [backup-simplify]: Simplify (sqrt 1) into 1 8.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.202 * [backup-simplify]: Simplify (- 0) into 0 8.202 * [backup-simplify]: Simplify (+ 0 0) into 0 8.204 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 8.205 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 8.206 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 8.206 * [backup-simplify]: Simplify (sqrt 1) into 1 8.207 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 8.207 * [backup-simplify]: Simplify (log 1) into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.25) 1)) (pow 1 1)))) 1) into -0.25 8.214 * [backup-simplify]: Simplify -0.25 into -0.25 8.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.215 * [backup-simplify]: Simplify (- 0) into 0 8.215 * [backup-simplify]: Simplify (+ 0 0) into 0 8.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 8.218 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 8.221 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 8.224 * [backup-simplify]: Simplify (/ (- -0.125 (pow -0.25 2) (+)) (* 2 1)) into -0.09375 8.239 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.25) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.09375) 1)) (pow 1 1)))) 2) into -0.125 8.239 * [backup-simplify]: Simplify -0.125 into -0.125 8.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.240 * [backup-simplify]: Simplify (- 0) into 0 8.240 * [backup-simplify]: Simplify (+ 0 0) into 0 8.242 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 8.244 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 8.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 8.251 * [backup-simplify]: Simplify (/ (- -0.0625 (+ (* 2 (* -0.25 -0.09375)))) (* 2 1)) into -0.0546875 8.276 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.25) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.25) 1) (pow (* 2 -0.09375) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0546875) 1)) (pow 1 1)))) 6) into -0.08333333333333333 8.276 * [backup-simplify]: Simplify -0.08333333333333333 into -0.08333333333333333 8.276 * [backup-simplify]: Simplify (+ (* -0.08333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.125 (pow (/ 1 (- N)) 2)) (* -0.25 (/ 1 (- N))))) into (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) 8.276 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 8.277 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1.0) N))) into (log (sqrt (/ (+ N 1.0) N))) 8.277 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 8.277 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 8.277 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 8.277 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.277 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.277 * [taylor]: Taking taylor expansion of N in N 8.277 * [backup-simplify]: Simplify 0 into 0 8.277 * [backup-simplify]: Simplify 1 into 1 8.277 * [taylor]: Taking taylor expansion of 1.0 in N 8.277 * [backup-simplify]: Simplify 1.0 into 1.0 8.277 * [taylor]: Taking taylor expansion of N in N 8.277 * [backup-simplify]: Simplify 0 into 0 8.277 * [backup-simplify]: Simplify 1 into 1 8.278 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.278 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.279 * [backup-simplify]: Simplify (sqrt 0) into 0 8.280 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 8.281 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.281 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 8.281 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 8.281 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.281 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.281 * [taylor]: Taking taylor expansion of N in N 8.281 * [backup-simplify]: Simplify 0 into 0 8.281 * [backup-simplify]: Simplify 1 into 1 8.281 * [taylor]: Taking taylor expansion of 1.0 in N 8.281 * [backup-simplify]: Simplify 1.0 into 1.0 8.281 * [taylor]: Taking taylor expansion of N in N 8.281 * [backup-simplify]: Simplify 0 into 0 8.281 * [backup-simplify]: Simplify 1 into 1 8.281 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.282 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.283 * [backup-simplify]: Simplify (sqrt 0) into 0 8.284 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 8.284 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.285 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.285 * [backup-simplify]: Simplify (+ 1 0) into 1 8.286 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 8.289 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.296 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.296 * [backup-simplify]: Simplify (+ 0 0) into 0 8.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.301 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.312 * [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 8.312 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.312 * [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))))) 8.313 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 8.313 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 8.313 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 8.313 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 8.313 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.313 * [taylor]: Taking taylor expansion of N in N 8.313 * [backup-simplify]: Simplify 0 into 0 8.313 * [backup-simplify]: Simplify 1 into 1 8.313 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.313 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.313 * [taylor]: Taking taylor expansion of N in N 8.313 * [backup-simplify]: Simplify 0 into 0 8.313 * [backup-simplify]: Simplify 1 into 1 8.313 * [backup-simplify]: Simplify (/ 1 1) into 1 8.313 * [taylor]: Taking taylor expansion of 1.0 in N 8.313 * [backup-simplify]: Simplify 1.0 into 1.0 8.313 * [backup-simplify]: Simplify (+ 1 0) into 1 8.314 * [backup-simplify]: Simplify (* 0 1) into 0 8.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.314 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.315 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 8.315 * [backup-simplify]: Simplify (sqrt 1) into 1 8.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.316 * [backup-simplify]: Simplify (+ 0 0) into 0 8.317 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 8.318 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 8.318 * [backup-simplify]: Simplify (log 1) into 0 8.318 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 8.318 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 8.318 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.318 * [taylor]: Taking taylor expansion of N in N 8.318 * [backup-simplify]: Simplify 0 into 0 8.318 * [backup-simplify]: Simplify 1 into 1 8.318 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.318 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.318 * [taylor]: Taking taylor expansion of N in N 8.318 * [backup-simplify]: Simplify 0 into 0 8.318 * [backup-simplify]: Simplify 1 into 1 8.319 * [backup-simplify]: Simplify (/ 1 1) into 1 8.319 * [taylor]: Taking taylor expansion of 1.0 in N 8.319 * [backup-simplify]: Simplify 1.0 into 1.0 8.319 * [backup-simplify]: Simplify (+ 1 0) into 1 8.319 * [backup-simplify]: Simplify (* 0 1) into 0 8.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.320 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.320 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 8.320 * [backup-simplify]: Simplify (sqrt 1) into 1 8.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.323 * [backup-simplify]: Simplify (+ 0 0) into 0 8.324 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 8.325 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 8.325 * [backup-simplify]: Simplify (log 1) into 0 8.325 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 8.329 * [backup-simplify]: Simplify 0.5 into 0.5 8.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.330 * [backup-simplify]: Simplify (+ 0 0) into 0 8.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 8.332 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 8.340 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 8.340 * [backup-simplify]: Simplify -0.25 into -0.25 8.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.341 * [backup-simplify]: Simplify (+ 0 0) into 0 8.342 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 8.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 8.368 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 8.368 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 8.368 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 8.369 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 8.369 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 8.369 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 8.369 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 8.369 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.369 * [taylor]: Taking taylor expansion of -1 in N 8.369 * [backup-simplify]: Simplify -1 into -1 8.369 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.369 * [taylor]: Taking taylor expansion of N in N 8.369 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify 1 into 1 8.369 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.369 * [taylor]: Taking taylor expansion of 1.0 in N 8.369 * [backup-simplify]: Simplify 1.0 into 1.0 8.369 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.369 * [taylor]: Taking taylor expansion of N in N 8.369 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify 1 into 1 8.370 * [backup-simplify]: Simplify (/ 1 1) into 1 8.370 * [backup-simplify]: Simplify (- 1) into -1 8.371 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.371 * [backup-simplify]: Simplify (* 0 -1) into 0 8.372 * [backup-simplify]: Simplify (* -1 0) into 0 8.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.373 * [backup-simplify]: Simplify (- 0) into 0 8.373 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.374 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.375 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.375 * [backup-simplify]: Simplify (sqrt 1) into 1 8.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.377 * [backup-simplify]: Simplify (- 0) into 0 8.377 * [backup-simplify]: Simplify (+ 0 0) into 0 8.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 8.383 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 8.385 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 8.385 * [backup-simplify]: Simplify (log 1) into 0 8.386 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 8.386 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 8.386 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.386 * [taylor]: Taking taylor expansion of -1 in N 8.386 * [backup-simplify]: Simplify -1 into -1 8.386 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.386 * [taylor]: Taking taylor expansion of N in N 8.386 * [backup-simplify]: Simplify 0 into 0 8.386 * [backup-simplify]: Simplify 1 into 1 8.386 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.386 * [taylor]: Taking taylor expansion of 1.0 in N 8.386 * [backup-simplify]: Simplify 1.0 into 1.0 8.386 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.386 * [taylor]: Taking taylor expansion of N in N 8.387 * [backup-simplify]: Simplify 0 into 0 8.387 * [backup-simplify]: Simplify 1 into 1 8.387 * [backup-simplify]: Simplify (/ 1 1) into 1 8.387 * [backup-simplify]: Simplify (- 1) into -1 8.388 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.388 * [backup-simplify]: Simplify (* 0 -1) into 0 8.389 * [backup-simplify]: Simplify (* -1 0) into 0 8.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.390 * [backup-simplify]: Simplify (- 0) into 0 8.390 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.391 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.392 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.392 * [backup-simplify]: Simplify (sqrt 1) into 1 8.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.393 * [backup-simplify]: Simplify (- 0) into 0 8.394 * [backup-simplify]: Simplify (+ 0 0) into 0 8.397 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 8.399 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 8.400 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 8.401 * [backup-simplify]: Simplify (log 1) into 0 8.401 * [backup-simplify]: Simplify 0 into 0 8.408 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 8.408 * [backup-simplify]: Simplify -0.5 into -0.5 8.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.409 * [backup-simplify]: Simplify (- 0) into 0 8.410 * [backup-simplify]: Simplify (+ 0 0) into 0 8.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 8.412 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 8.415 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 8.430 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 8.430 * [backup-simplify]: Simplify -0.25 into -0.25 8.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.431 * [backup-simplify]: Simplify (- 0) into 0 8.432 * [backup-simplify]: Simplify (+ 0 0) into 0 8.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 8.435 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 8.439 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 8.470 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0625) 1)) (pow 1 1)))) 6) into -0.16666666666666666 8.470 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 8.471 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 3)) (+ (* -0.25 (pow (/ 1 (- N)) 2)) (* -0.5 (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 8.471 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 8.471 * [backup-simplify]: Simplify (sqrt (sqrt (/ (+ N 1.0) N))) into (pow (/ (+ N 1.0) N) 1/4) 8.471 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in (N) around 0 8.471 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 8.471 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 8.471 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 8.472 * [taylor]: Taking taylor expansion of 1/4 in N 8.472 * [backup-simplify]: Simplify 1/4 into 1/4 8.472 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 8.472 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.472 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.472 * [taylor]: Taking taylor expansion of N in N 8.472 * [backup-simplify]: Simplify 0 into 0 8.472 * [backup-simplify]: Simplify 1 into 1 8.472 * [taylor]: Taking taylor expansion of 1.0 in N 8.472 * [backup-simplify]: Simplify 1.0 into 1.0 8.472 * [taylor]: Taking taylor expansion of N in N 8.472 * [backup-simplify]: Simplify 0 into 0 8.472 * [backup-simplify]: Simplify 1 into 1 8.472 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.473 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.473 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.474 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 8.475 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 8.475 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 8.475 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 8.476 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 8.476 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 8.476 * [taylor]: Taking taylor expansion of 1/4 in N 8.476 * [backup-simplify]: Simplify 1/4 into 1/4 8.476 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 8.476 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.476 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.476 * [taylor]: Taking taylor expansion of N in N 8.476 * [backup-simplify]: Simplify 0 into 0 8.476 * [backup-simplify]: Simplify 1 into 1 8.476 * [taylor]: Taking taylor expansion of 1.0 in N 8.476 * [backup-simplify]: Simplify 1.0 into 1.0 8.476 * [taylor]: Taking taylor expansion of N in N 8.476 * [backup-simplify]: Simplify 0 into 0 8.476 * [backup-simplify]: Simplify 1 into 1 8.477 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.477 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.477 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.478 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 8.479 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 8.479 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 8.480 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 8.480 * [backup-simplify]: Simplify (+ 1 0) into 1 8.481 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 8.487 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 8.488 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 8.489 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log 1.0) (log N)))) into 0.25 8.492 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) 8.493 * [backup-simplify]: Simplify (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) into (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) 8.494 * [backup-simplify]: Simplify (+ 0 0) into 0 8.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.506 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 8.507 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 8.510 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 8.522 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2))))) 8.525 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2))))) 8.530 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) N) (exp (* 1/4 (- (log 1.0) (log N)))))) into (- (+ (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* 0.03125 (* (exp (* 1/4 (- (log 1.0) (log N)))) (pow N 2))) (* 0.25 (* (exp (* 1/4 (- (log 1.0) (log N)))) N)))) (* 1/8 (/ (* (exp (* 1/4 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 8.531 * [backup-simplify]: Simplify (sqrt (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (pow (* N (+ (/ 1 N) 1.0)) 1/4) 8.531 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in (N) around 0 8.531 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 8.531 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 8.531 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 8.531 * [taylor]: Taking taylor expansion of 1/4 in N 8.531 * [backup-simplify]: Simplify 1/4 into 1/4 8.531 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 8.531 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.531 * [taylor]: Taking taylor expansion of N in N 8.531 * [backup-simplify]: Simplify 0 into 0 8.531 * [backup-simplify]: Simplify 1 into 1 8.531 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.531 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.531 * [taylor]: Taking taylor expansion of N in N 8.531 * [backup-simplify]: Simplify 0 into 0 8.531 * [backup-simplify]: Simplify 1 into 1 8.532 * [backup-simplify]: Simplify (/ 1 1) into 1 8.532 * [taylor]: Taking taylor expansion of 1.0 in N 8.532 * [backup-simplify]: Simplify 1.0 into 1.0 8.532 * [backup-simplify]: Simplify (+ 1 0) into 1 8.532 * [backup-simplify]: Simplify (* 0 1) into 0 8.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.534 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.534 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 8.535 * [backup-simplify]: Simplify (log 1) into 0 8.535 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.536 * [backup-simplify]: Simplify (+ 0 0) into 0 8.539 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 8.546 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 8.547 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 8.547 * [backup-simplify]: Simplify (exp 0) into 1 8.548 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 8.548 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 8.548 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 8.548 * [taylor]: Taking taylor expansion of 1/4 in N 8.548 * [backup-simplify]: Simplify 1/4 into 1/4 8.548 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 8.548 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.548 * [taylor]: Taking taylor expansion of N in N 8.548 * [backup-simplify]: Simplify 0 into 0 8.548 * [backup-simplify]: Simplify 1 into 1 8.548 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.548 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.548 * [taylor]: Taking taylor expansion of N in N 8.548 * [backup-simplify]: Simplify 0 into 0 8.548 * [backup-simplify]: Simplify 1 into 1 8.548 * [backup-simplify]: Simplify (/ 1 1) into 1 8.548 * [taylor]: Taking taylor expansion of 1.0 in N 8.548 * [backup-simplify]: Simplify 1.0 into 1.0 8.549 * [backup-simplify]: Simplify (+ 1 0) into 1 8.549 * [backup-simplify]: Simplify (* 0 1) into 0 8.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.550 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.551 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 8.551 * [backup-simplify]: Simplify (log 1) into 0 8.552 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.553 * [backup-simplify]: Simplify (+ 0 0) into 0 8.556 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 8.563 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 8.564 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 8.564 * [backup-simplify]: Simplify (exp 0) into 1 8.564 * [backup-simplify]: Simplify 1 into 1 8.568 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 1) 1)))) into 0.25 8.568 * [backup-simplify]: Simplify 0.25 into 0.25 8.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.570 * [backup-simplify]: Simplify (+ 0 0) into 0 8.571 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 8.581 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 8.582 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.125) 8.587 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into -0.09375 8.587 * [backup-simplify]: Simplify -0.09375 into -0.09375 8.587 * [backup-simplify]: Simplify (+ (* -0.09375 (pow (/ 1 N) 2)) (+ (* 0.25 (/ 1 N)) 1)) into (- (+ (* 0.25 (/ 1 N)) 1) (* 0.09375 (/ 1 (pow N 2)))) 8.587 * [backup-simplify]: Simplify (sqrt (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 8.587 * [approximate]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 8.587 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 8.587 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 8.587 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.587 * [taylor]: Taking taylor expansion of -1 in N 8.587 * [backup-simplify]: Simplify -1 into -1 8.587 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.587 * [taylor]: Taking taylor expansion of N in N 8.587 * [backup-simplify]: Simplify 0 into 0 8.587 * [backup-simplify]: Simplify 1 into 1 8.587 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.587 * [taylor]: Taking taylor expansion of 1.0 in N 8.587 * [backup-simplify]: Simplify 1.0 into 1.0 8.587 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.587 * [taylor]: Taking taylor expansion of N in N 8.587 * [backup-simplify]: Simplify 0 into 0 8.587 * [backup-simplify]: Simplify 1 into 1 8.588 * [backup-simplify]: Simplify (/ 1 1) into 1 8.588 * [backup-simplify]: Simplify (- 1) into -1 8.588 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.588 * [backup-simplify]: Simplify (* 0 -1) into 0 8.589 * [backup-simplify]: Simplify (* -1 0) into 0 8.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.589 * [backup-simplify]: Simplify (- 0) into 0 8.589 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.590 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.590 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.591 * [backup-simplify]: Simplify (sqrt 1) into 1 8.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.593 * [backup-simplify]: Simplify (- 0) into 0 8.593 * [backup-simplify]: Simplify (+ 0 0) into 0 8.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 8.596 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 8.597 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 8.597 * [backup-simplify]: Simplify (sqrt 1) into 1 8.598 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 8.598 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 8.598 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 8.598 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.598 * [taylor]: Taking taylor expansion of -1 in N 8.598 * [backup-simplify]: Simplify -1 into -1 8.598 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.598 * [taylor]: Taking taylor expansion of N in N 8.598 * [backup-simplify]: Simplify 0 into 0 8.598 * [backup-simplify]: Simplify 1 into 1 8.598 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.598 * [taylor]: Taking taylor expansion of 1.0 in N 8.598 * [backup-simplify]: Simplify 1.0 into 1.0 8.598 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.598 * [taylor]: Taking taylor expansion of N in N 8.598 * [backup-simplify]: Simplify 0 into 0 8.598 * [backup-simplify]: Simplify 1 into 1 8.598 * [backup-simplify]: Simplify (/ 1 1) into 1 8.599 * [backup-simplify]: Simplify (- 1) into -1 8.599 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.599 * [backup-simplify]: Simplify (* 0 -1) into 0 8.599 * [backup-simplify]: Simplify (* -1 0) into 0 8.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.600 * [backup-simplify]: Simplify (- 0) into 0 8.600 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.601 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.601 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.601 * [backup-simplify]: Simplify (sqrt 1) into 1 8.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.602 * [backup-simplify]: Simplify (- 0) into 0 8.602 * [backup-simplify]: Simplify (+ 0 0) into 0 8.604 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 8.605 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 8.606 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 8.606 * [backup-simplify]: Simplify (sqrt 1) into 1 8.607 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 8.607 * [backup-simplify]: Simplify 1 into 1 8.607 * [backup-simplify]: Simplify -0.25 into -0.25 8.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.608 * [backup-simplify]: Simplify (- 0) into 0 8.608 * [backup-simplify]: Simplify (+ 0 0) into 0 8.609 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 8.610 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 8.611 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 8.615 * [backup-simplify]: Simplify (/ (- -0.125 (pow -0.25 2) (+)) (* 2 1)) into -0.09375 8.615 * [backup-simplify]: Simplify -0.09375 into -0.09375 8.615 * [backup-simplify]: Simplify (+ (* -0.09375 (pow (/ 1 (- N)) 2)) (+ (* -0.25 (/ 1 (- N))) 1)) into (- (+ (* 0.25 (/ 1 N)) 1) (* 0.09375 (/ 1 (pow N 2)))) 8.615 * * * [progress]: simplifying candidates 8.620 * [simplify]: Simplifying: (expm1 (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log1p (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log (* (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))))) (log (cbrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))))) (log (sqrt (cbrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log (sqrt (sqrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) 1)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (sqrt (/ 1 1)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (sqrt (/ 1 1)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt 1))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (/ 1 N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt 1)) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log 1) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (sqrt (/ (+ N 1.0) N))))) (exp (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N)))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* (* (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (expm1 (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log1p (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log (* (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))))) (log (cbrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))))) (log (sqrt (cbrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log (sqrt (sqrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) 1)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (sqrt (/ 1 1)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (sqrt (/ 1 1)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt 1))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (/ 1 N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt 1)) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log 1) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (sqrt (/ (+ N 1.0) N))))) (exp (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N)))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* (* (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt 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[simplify]: Extracting #4: cost 452 inf + 92140 10.428 * * [simplify]: Extracting #5: cost 106 inf + 211301 10.566 * * [simplify]: Extracting #6: cost 35 inf + 232461 10.696 * * [simplify]: Extracting #7: cost 0 inf + 242645 10.789 * [simplify]: Simplified to: (expm1 (log (sqrt (sqrt (/ (+ 1.0 N) N))))) (log1p (log (sqrt (sqrt (/ (+ 1.0 N) N))))) (+ (log (cbrt (sqrt (sqrt (/ (+ 1.0 N) N))))) (log (cbrt (sqrt (sqrt (/ (+ 1.0 N) N)))))) (log (cbrt (sqrt (sqrt (/ (+ 1.0 N) N))))) (log (fabs (cbrt (sqrt (/ (+ 1.0 N) N))))) (log (sqrt (cbrt (sqrt (/ (+ 1.0 N) N))))) (log (sqrt (fabs (cbrt (/ (+ 1.0 N) N))))) (log (sqrt (sqrt (cbrt (/ (+ 1.0 N) N))))) (log (sqrt (sqrt (sqrt (/ (+ 1.0 N) N))))) (log (sqrt (sqrt (sqrt (/ (+ 1.0 N) N))))) (log (sqrt (fabs (/ (cbrt (+ 1.0 N)) (cbrt N))))) (log (sqrt (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N))))) (log (sqrt (sqrt (/ (cbrt (+ 1.0 N)) (/ (sqrt N) (cbrt (+ 1.0 N))))))) (log (sqrt (sqrt (/ (cbrt (+ 1.0 N)) (sqrt N))))) (log (sqrt (fabs (cbrt (+ 1.0 N))))) 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