17.375 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.070 * * * [progress]: [2/2] Setting up program. 0.074 * [progress]: [Phase 2 of 3] Improving. 0.075 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.075 * * [simplify]: Extracting # 0 : cost 0 0.075 * * [simplify]: Extracting # 1 : cost 0 0.075 * * [simplify]: Extracting # 2 : cost 0 0.075 * * [simplify]: Extracting # 3 : cost 0 0.075 * * [simplify]: Extracting # 4 : cost 0 0.075 * * [simplify]: Extracting # 5 : cost 0 0.075 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.077 * * [simplify]: Extracting # 0 : cost 0 0.077 * * [simplify]: Extracting # 1 : cost 0 0.077 * * [simplify]: Extracting # 2 : cost 0 0.077 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.079 * * [simplify]: Extracting # 0 : cost 0 0.079 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.081 * * [simplify]: Extracting # 0 : cost 0 0.081 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.081 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.082 * * [progress]: iteration 1 / 4 0.082 * * * [progress]: picking best candidate 0.085 * * * * [pick]: Picked # 0.085 * * * [progress]: localizing error 0.099 * * * [progress]: generating rewritten candidates 0.099 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.109 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.128 * * * [progress]: generating series expansions 0.128 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.128 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.128 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.128 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.128 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.128 * [taylor]: Taking taylor expansion of N in N 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [taylor]: Taking taylor expansion of 1.0 in N 0.128 * [backup-simplify]: Simplify 1.0 into 1.0 0.129 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.129 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.129 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.129 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [taylor]: Taking taylor expansion of 1.0 in N 0.129 * [backup-simplify]: Simplify 1.0 into 1.0 0.129 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.130 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.130 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.131 * [backup-simplify]: Simplify (+ 1 0) into 1 0.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.134 * [backup-simplify]: Simplify 1.0 into 1.0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [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)) 0.167 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.169 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.170 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.170 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.170 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.170 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [taylor]: Taking taylor expansion of 1.0 in N 0.170 * [backup-simplify]: Simplify 1.0 into 1.0 0.171 * [backup-simplify]: Simplify (+ 1 0) into 1 0.171 * [backup-simplify]: Simplify (log 1) into 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 0.173 * [backup-simplify]: Simplify (log 1) into 0 0.173 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.173 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.179 * [backup-simplify]: Simplify 1.0 into 1.0 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.180 * [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 0.187 * [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)))) 0.187 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.187 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 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 0.187 * [backup-simplify]: Simplify 1.0 into 1.0 0.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.187 * [taylor]: Taking taylor expansion of N in N 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [backup-simplify]: Simplify (- 1) into -1 0.188 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.188 * [backup-simplify]: Simplify (log -1) into (log -1) 0.188 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.188 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.188 * [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 0.189 * [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)) 0.190 * [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 0.191 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.194 * [backup-simplify]: Simplify -1.0 into -1.0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (- 0) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [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 0.203 * [backup-simplify]: Simplify -0.5 into -0.5 0.204 * [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)))) 0.204 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.204 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.204 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.204 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.204 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.204 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [taylor]: Taking taylor expansion of 1.0 in N 0.204 * [backup-simplify]: Simplify 1.0 into 1.0 0.205 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.205 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.205 * [taylor]: Taking taylor expansion of (log N) 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 0.206 * [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)) 0.208 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.208 * [backup-simplify]: Simplify (+ 1 0) into 1 0.211 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.212 * [backup-simplify]: Simplify (- 0) into 0 0.212 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.212 * [backup-simplify]: Simplify 1.0 into 1.0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [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)) 0.220 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.220 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.223 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.225 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.225 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.225 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.225 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.225 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.225 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.225 * [taylor]: Taking taylor expansion of N in N 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [taylor]: Taking taylor expansion of 1.0 in N 0.225 * [backup-simplify]: Simplify 1.0 into 1.0 0.226 * [backup-simplify]: Simplify (+ 1 0) into 1 0.226 * [backup-simplify]: Simplify (log 1) into 0 0.226 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.226 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.226 * [taylor]: Taking taylor expansion of N in N 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (/ 1 1) into 1 0.226 * [backup-simplify]: Simplify (log 1) into 0 0.226 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.226 * [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 0.227 * [backup-simplify]: Simplify (+ 1 0) into 1 0.227 * [backup-simplify]: Simplify (log 1) into 0 0.227 * [taylor]: Taking taylor expansion of (log (/ 1 N)) 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 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [backup-simplify]: Simplify (log 1) into 0 0.228 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.229 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.229 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.229 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.233 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.235 * [backup-simplify]: Simplify 1.0 into 1.0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [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 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.250 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [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 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [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 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.276 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.277 * [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)))) 0.277 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.277 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.277 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.277 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.277 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.277 * [taylor]: Taking taylor expansion of 1.0 in N 0.277 * [backup-simplify]: Simplify 1.0 into 1.0 0.277 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.277 * [taylor]: Taking taylor expansion of N in N 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [backup-simplify]: Simplify (- 1) into -1 0.278 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.278 * [backup-simplify]: Simplify (log -1) into (log -1) 0.278 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.278 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.278 * [taylor]: Taking taylor expansion of -1 in N 0.278 * [backup-simplify]: Simplify -1 into -1 0.278 * [taylor]: Taking taylor expansion of N in N 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (/ -1 1) into -1 0.279 * [backup-simplify]: Simplify (log -1) into (log -1) 0.279 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.279 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.279 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.279 * [taylor]: Taking taylor expansion of 1.0 in N 0.279 * [backup-simplify]: Simplify 1.0 into 1.0 0.279 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.279 * [taylor]: Taking taylor expansion of N in N 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [backup-simplify]: Simplify (- 1) into -1 0.280 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.280 * [backup-simplify]: Simplify (log -1) into (log -1) 0.280 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.280 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.280 * [taylor]: Taking taylor expansion of -1 in N 0.280 * [backup-simplify]: Simplify -1 into -1 0.280 * [taylor]: Taking taylor expansion of N in N 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (/ -1 1) into -1 0.281 * [backup-simplify]: Simplify (log -1) into (log -1) 0.281 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.282 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.282 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.282 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.284 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.289 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.289 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [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 0.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.299 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [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 0.325 * [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 0.326 * [backup-simplify]: Simplify (- 0) into 0 0.326 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.327 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.329 * [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)))) 0.329 * * * [progress]: simplifying candidates 0.331 * [simplify]: Simplifying: (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))) (/ (+ 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)) (- (+ (* 1.0 N) (log 1.0)) (* 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)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 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)))) 0.333 * * [simplify]: Extracting # 0 : cost 0 0.333 * * [simplify]: Extracting # 1 : cost 0 0.333 * * [simplify]: Extracting # 2 : cost 0 0.333 * * [simplify]: Extracting # 3 : cost 0 0.334 * * [simplify]: Extracting # 4 : cost 0 0.334 * * [simplify]: Extracting # 5 : cost 0 0.334 * * [simplify]: Extracting # 6 : cost 0 0.334 * * [simplify]: Extracting # 7 : cost 0 0.335 * * [simplify]: iteration 0 : 101 enodes (cost 510 ) 0.377 * * [simplify]: Extracting # 0 : cost 0 0.378 * * [simplify]: Extracting # 1 : cost 0 0.378 * * [simplify]: Extracting # 2 : cost 0 0.379 * * [simplify]: Extracting # 3 : cost 0 0.379 * * [simplify]: Extracting # 4 : cost 0 0.380 * * [simplify]: iteration 1 : 213 enodes (cost 488 ) 0.483 * * [simplify]: Extracting # 0 : cost 0 0.484 * * [simplify]: Extracting # 1 : cost 0 0.485 * * [simplify]: Extracting # 2 : cost 0 0.485 * * [simplify]: Extracting # 3 : cost 0 0.486 * * [simplify]: Extracting # 4 : cost 0 0.486 * * [simplify]: iteration 2 : 643 enodes (cost 445 ) 0.967 * * [simplify]: Extracting # 0 : cost 0 0.971 * * [simplify]: Extracting # 1 : cost 0 0.977 * * [simplify]: Extracting # 2 : cost 0 0.983 * * [simplify]: Extracting # 3 : cost 0 0.993 * * [simplify]: Extracting # 4 : cost 0 0.998 * * [simplify]: iteration 3 : 2849 enodes (cost 443 ) 1.852 * * [simplify]: Extracting # 0 : cost 0 1.867 * * [simplify]: Extracting # 1 : cost 0 1.878 * * [simplify]: Extracting # 2 : cost 0 1.888 * * [simplify]: Extracting # 3 : cost 0 1.898 * * [simplify]: Extracting # 4 : cost 0 1.912 * * [simplify]: iteration done: 5001 enodes (cost 438 ) 1.912 * [simplify]: Simplified to: (* 2 (log (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 (+ (pow N 3) (pow 1.0 3))) (log (+ (* 1.0 (- 1.0 N)) (* N N))) (log (- (* N N) (* 1.0 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))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ 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))) (pow (- (log (+ N 1.0)) (log N)) 3) (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) (log (+ N 1.0)))) (* (log N) (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)) (* 2 (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 (+ (* 1.0 (- 1.0 N)) (* N N)))) (+ (log (- N 1.0)) (log N)) (- (log N)) (+ (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (* N 1.0)) (+ (/ 1.0 N) (- (log N) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (log N) (/ 0.5 (* N N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) 1.913 * * * [progress]: adding candidates to table 2.085 * * [progress]: iteration 2 / 4 2.085 * * * [progress]: picking best candidate 2.101 * * * * [pick]: Picked # 2.101 * * * [progress]: localizing error 2.113 * * * [progress]: generating rewritten candidates 2.113 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.131 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.178 * * * [progress]: generating series expansions 2.178 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.178 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 2.178 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 2.178 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.178 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.179 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.179 * [taylor]: Taking taylor expansion of N in N 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 1 into 1 2.179 * [taylor]: Taking taylor expansion of 1.0 in N 2.179 * [backup-simplify]: Simplify 1.0 into 1.0 2.179 * [taylor]: Taking taylor expansion of N in N 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 1 into 1 2.180 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.180 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.180 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.181 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.181 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.181 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 in N 2.181 * [backup-simplify]: Simplify 1.0 into 1.0 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 (+ 0 1.0) into 1.0 2.182 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.182 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.183 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.184 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 2.184 * [backup-simplify]: Simplify (+ 1 0) into 1 2.185 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.190 * [backup-simplify]: Simplify 1.0 into 1.0 2.191 * [backup-simplify]: Simplify (+ 0 0) into 0 2.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.204 * [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)) 2.205 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 2.207 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 2.207 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 2.208 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 2.208 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.208 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.208 * [taylor]: Taking taylor expansion of N in N 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 1 into 1 2.208 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.208 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.208 * [taylor]: Taking taylor expansion of N in N 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 1 into 1 2.208 * [backup-simplify]: Simplify (/ 1 1) into 1 2.208 * [taylor]: Taking taylor expansion of 1.0 in N 2.208 * [backup-simplify]: Simplify 1.0 into 1.0 2.209 * [backup-simplify]: Simplify (+ 1 0) into 1 2.209 * [backup-simplify]: Simplify (* 0 1) into 0 2.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.210 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.211 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.211 * [backup-simplify]: Simplify (log 1) into 0 2.211 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.211 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.211 * [taylor]: Taking taylor expansion of N in N 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 1 into 1 2.212 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.212 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.212 * [taylor]: Taking taylor expansion of N in N 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 1 into 1 2.212 * [backup-simplify]: Simplify (/ 1 1) into 1 2.212 * [taylor]: Taking taylor expansion of 1.0 in N 2.212 * [backup-simplify]: Simplify 1.0 into 1.0 2.213 * [backup-simplify]: Simplify (+ 1 0) into 1 2.213 * [backup-simplify]: Simplify (* 0 1) into 0 2.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.214 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.215 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.215 * [backup-simplify]: Simplify (log 1) into 0 2.215 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.217 * [backup-simplify]: Simplify (+ 0 0) into 0 2.219 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.223 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.223 * [backup-simplify]: Simplify 1.0 into 1.0 2.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.223 * [backup-simplify]: Simplify (+ 0 0) into 0 2.224 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.230 * [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 2.230 * [backup-simplify]: Simplify -0.5 into -0.5 2.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.231 * [backup-simplify]: Simplify (+ 0 0) into 0 2.232 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.249 * [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 2.250 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.250 * [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)))) 2.250 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 2.250 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 2.250 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.251 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.251 * [taylor]: Taking taylor expansion of -1 in N 2.251 * [backup-simplify]: Simplify -1 into -1 2.251 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.251 * [taylor]: Taking taylor expansion of N in N 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 1 into 1 2.251 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.251 * [taylor]: Taking taylor expansion of 1.0 in N 2.251 * [backup-simplify]: Simplify 1.0 into 1.0 2.251 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.251 * [taylor]: Taking taylor expansion of N in N 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 1 into 1 2.251 * [backup-simplify]: Simplify (/ 1 1) into 1 2.252 * [backup-simplify]: Simplify (- 1) into -1 2.252 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.252 * [backup-simplify]: Simplify (* 0 -1) into 0 2.253 * [backup-simplify]: Simplify (* -1 0) into 0 2.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.254 * [backup-simplify]: Simplify (- 0) into 0 2.255 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.255 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.256 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.256 * [backup-simplify]: Simplify (log 1) into 0 2.256 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.257 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.257 * [taylor]: Taking taylor expansion of -1 in N 2.257 * [backup-simplify]: Simplify -1 into -1 2.257 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.257 * [taylor]: Taking taylor expansion of N in N 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify 1 into 1 2.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.257 * [taylor]: Taking taylor expansion of 1.0 in N 2.257 * [backup-simplify]: Simplify 1.0 into 1.0 2.257 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.257 * [taylor]: Taking taylor expansion of N in N 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify 1 into 1 2.257 * [backup-simplify]: Simplify (/ 1 1) into 1 2.258 * [backup-simplify]: Simplify (- 1) into -1 2.262 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.263 * [backup-simplify]: Simplify (* 0 -1) into 0 2.264 * [backup-simplify]: Simplify (* -1 0) into 0 2.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.265 * [backup-simplify]: Simplify (- 0) into 0 2.265 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.266 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.267 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.267 * [backup-simplify]: Simplify (log 1) into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.268 * [backup-simplify]: Simplify (- 0) into 0 2.269 * [backup-simplify]: Simplify (+ 0 0) into 0 2.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.274 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 2.282 * [backup-simplify]: Simplify -1.0 into -1.0 2.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.283 * [backup-simplify]: Simplify (- 0) into 0 2.283 * [backup-simplify]: Simplify (+ 0 0) into 0 2.285 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.286 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.300 * [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 2.300 * [backup-simplify]: Simplify -0.5 into -0.5 2.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.301 * [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 1.0) (* 0 -1))))) into 0 2.305 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.322 * [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 2.322 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.323 * [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)))) 2.323 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.323 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 2.323 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 2.323 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.323 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.323 * [taylor]: Taking taylor expansion of N in N 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 1 into 1 2.323 * [taylor]: Taking taylor expansion of 1.0 in N 2.323 * [backup-simplify]: Simplify 1.0 into 1.0 2.323 * [taylor]: Taking taylor expansion of N in N 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 1 into 1 2.323 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.324 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.324 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.324 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.324 * [taylor]: Taking taylor expansion of N in N 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify 1 into 1 2.324 * [taylor]: Taking taylor expansion of 1.0 in N 2.324 * [backup-simplify]: Simplify 1.0 into 1.0 2.324 * [taylor]: Taking taylor expansion of N in N 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify 1 into 1 2.324 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.324 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.324 * [backup-simplify]: Simplify 1.0 into 1.0 2.325 * [backup-simplify]: Simplify (+ 1 0) into 1 2.325 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.325 * [backup-simplify]: Simplify 1 into 1 2.325 * [backup-simplify]: Simplify (+ 0 0) into 0 2.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.326 * [backup-simplify]: Simplify 0 into 0 2.326 * [backup-simplify]: Simplify (+ 0 0) into 0 2.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify (+ 0 0) into 0 2.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.328 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify (+ 0 0) into 0 2.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify (+ 0 0) into 0 2.330 * [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 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify (+ 0 0) into 0 2.330 * [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 2.330 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 2.331 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 2.331 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 2.331 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.331 * [taylor]: Taking taylor expansion of N in N 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.331 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.331 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.331 * [taylor]: Taking taylor expansion of N in N 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.331 * [backup-simplify]: Simplify (/ 1 1) into 1 2.331 * [taylor]: Taking taylor expansion of 1.0 in N 2.331 * [backup-simplify]: Simplify 1.0 into 1.0 2.331 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.331 * [taylor]: Taking taylor expansion of N in N 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.331 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.331 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.331 * [taylor]: Taking taylor expansion of N in N 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (/ 1 1) into 1 2.332 * [taylor]: Taking taylor expansion of 1.0 in N 2.332 * [backup-simplify]: Simplify 1.0 into 1.0 2.332 * [backup-simplify]: Simplify (+ 1 0) into 1 2.332 * [backup-simplify]: Simplify (* 0 1) into 0 2.332 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.333 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.333 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.333 * [backup-simplify]: Simplify 1 into 1 2.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.334 * [backup-simplify]: Simplify (+ 0 0) into 0 2.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.336 * [backup-simplify]: Simplify 1.0 into 1.0 2.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.336 * [backup-simplify]: Simplify (+ 0 0) into 0 2.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.338 * [backup-simplify]: Simplify (+ 0 0) into 0 2.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.339 * [backup-simplify]: Simplify (+ 0 0) into 0 2.340 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 2.340 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.341 * [backup-simplify]: Simplify (+ 0 0) into 0 2.342 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 2.342 * [backup-simplify]: Simplify 0 into 0 2.343 * [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 2.343 * [backup-simplify]: Simplify (+ 0 0) into 0 2.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [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 2.345 * [backup-simplify]: Simplify (+ 0 0) into 0 2.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.346 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 2.346 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 2.346 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.346 * [taylor]: Taking taylor expansion of -1 in N 2.346 * [backup-simplify]: Simplify -1 into -1 2.346 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.346 * [taylor]: Taking taylor expansion of N in N 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 1 into 1 2.346 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.346 * [taylor]: Taking taylor expansion of 1.0 in N 2.346 * [backup-simplify]: Simplify 1.0 into 1.0 2.346 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.346 * [taylor]: Taking taylor expansion of N in N 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 1 into 1 2.347 * [backup-simplify]: Simplify (/ 1 1) into 1 2.347 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.347 * [taylor]: Taking taylor expansion of -1 in N 2.347 * [backup-simplify]: Simplify -1 into -1 2.347 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.347 * [taylor]: Taking taylor expansion of N in N 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.347 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.347 * [taylor]: Taking taylor expansion of 1.0 in N 2.347 * [backup-simplify]: Simplify 1.0 into 1.0 2.347 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.347 * [taylor]: Taking taylor expansion of N in N 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.347 * [backup-simplify]: Simplify (/ 1 1) into 1 2.347 * [backup-simplify]: Simplify (- 1) into -1 2.348 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.348 * [backup-simplify]: Simplify (* 0 -1) into 0 2.348 * [backup-simplify]: Simplify (* -1 0) into 0 2.348 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.349 * [backup-simplify]: Simplify (- 0) into 0 2.349 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.350 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.350 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.350 * [backup-simplify]: Simplify 1 into 1 2.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.351 * [backup-simplify]: Simplify (- 0) into 0 2.351 * [backup-simplify]: Simplify (+ 0 0) into 0 2.354 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.355 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.355 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.356 * [backup-simplify]: Simplify (- 0) into 0 2.356 * [backup-simplify]: Simplify (+ 0 0) into 0 2.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.358 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.358 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.359 * [backup-simplify]: Simplify (- 0) into 0 2.359 * [backup-simplify]: Simplify (+ 0 0) into 0 2.360 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.361 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.361 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.363 * [backup-simplify]: Simplify (- 0) into 0 2.363 * [backup-simplify]: Simplify (+ 0 0) into 0 2.365 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.367 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.368 * [backup-simplify]: Simplify (- 0) into 0 2.368 * [backup-simplify]: Simplify (+ 0 0) into 0 2.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.372 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 2.372 * [backup-simplify]: Simplify 0 into 0 2.373 * [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 2.373 * [backup-simplify]: Simplify (- 0) into 0 2.373 * [backup-simplify]: Simplify (+ 0 0) into 0 2.375 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.377 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 2.377 * [backup-simplify]: Simplify 0 into 0 2.378 * [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 2.379 * [backup-simplify]: Simplify (- 0) into 0 2.379 * [backup-simplify]: Simplify (+ 0 0) into 0 2.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 2.388 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 2.388 * [backup-simplify]: Simplify 0 into 0 2.388 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.388 * * * [progress]: simplifying candidates 2.389 * [simplify]: Simplifying: (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))) (- (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)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 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) 2.391 * * [simplify]: Extracting # 0 : cost 0 2.391 * * [simplify]: Extracting # 1 : cost 0 2.391 * * [simplify]: Extracting # 2 : cost 0 2.391 * * [simplify]: Extracting # 3 : cost 0 2.391 * * [simplify]: Extracting # 4 : cost 0 2.391 * * [simplify]: Extracting # 5 : cost 0 2.391 * * [simplify]: Extracting # 6 : cost 0 2.391 * * [simplify]: Extracting # 7 : cost 0 2.392 * * [simplify]: Extracting # 8 : cost 0 2.392 * * [simplify]: Extracting # 9 : cost 0 2.392 * * [simplify]: Extracting # 10 : cost 0 2.392 * * [simplify]: iteration 0 : 108 enodes (cost 723 ) 2.414 * * [simplify]: Extracting # 0 : cost 0 2.414 * * [simplify]: Extracting # 1 : cost 0 2.414 * * [simplify]: Extracting # 2 : cost 0 2.415 * * [simplify]: Extracting # 3 : cost 0 2.415 * * [simplify]: iteration 1 : 243 enodes (cost 690 ) 2.520 * * [simplify]: Extracting # 0 : cost 0 2.522 * * [simplify]: Extracting # 1 : cost 0 2.523 * * [simplify]: Extracting # 2 : cost 0 2.525 * * [simplify]: Extracting # 3 : cost 0 2.526 * * [simplify]: iteration 2 : 1010 enodes (cost 637 ) 2.939 * * [simplify]: Extracting # 0 : cost 0 2.950 * * [simplify]: Extracting # 1 : cost 0 2.961 * * [simplify]: Extracting # 2 : cost 0 2.976 * * [simplify]: Extracting # 3 : cost 0 2.984 * * [simplify]: Extracting # 4 : cost 0 2.996 * * [simplify]: iteration done: 5000 enodes (cost 624 ) 2.996 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (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))) (log (/ (sqrt (+ N 1.0)) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (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))) (/ (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)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 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) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (+ (pow N 3) (* N (* 1.0 (- 1.0 N)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 2.997 * * * [progress]: adding candidates to table 3.130 * * [progress]: iteration 3 / 4 3.131 * * * [progress]: picking best candidate 3.141 * * * * [pick]: Picked # 3.141 * * * [progress]: localizing error 3.152 * * * [progress]: generating rewritten candidates 3.152 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 3.158 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 3.201 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 3.224 * * * [progress]: generating series expansions 3.224 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 3.224 * [backup-simplify]: Simplify (log (sqrt (+ N 1.0))) into (log (sqrt (+ N 1.0))) 3.224 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 3.224 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 3.224 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 3.224 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.224 * [taylor]: Taking taylor expansion of N in N 3.224 * [backup-simplify]: Simplify 0 into 0 3.224 * [backup-simplify]: Simplify 1 into 1 3.224 * [taylor]: Taking taylor expansion of 1.0 in N 3.224 * [backup-simplify]: Simplify 1.0 into 1.0 3.225 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.226 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.226 * [backup-simplify]: Simplify (+ 1 0) into 1 3.228 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.229 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 3.229 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 3.229 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 3.229 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.229 * [taylor]: Taking taylor expansion of N in N 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify 1 into 1 3.229 * [taylor]: Taking taylor expansion of 1.0 in N 3.229 * [backup-simplify]: Simplify 1.0 into 1.0 3.230 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.230 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.230 * [backup-simplify]: Simplify (+ 1 0) into 1 3.232 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.233 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 3.234 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 3.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 3.247 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 3.248 * [backup-simplify]: Simplify (+ 0 0) into 0 3.255 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.281 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 3.283 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 3.287 * [backup-simplify]: Simplify (+ (* (/ -1/4 (pow (sqrt 1.0) 4)) (pow N 2)) (+ (* (/ 1/2 (pow (sqrt 1.0) 2)) N) (log (sqrt 1.0)))) into (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) 3.288 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 N) 1.0))) into (log (sqrt (+ (/ 1 N) 1.0))) 3.288 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 3.288 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 3.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 3.288 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.288 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.288 * [taylor]: Taking taylor expansion of N in N 3.288 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify 1 into 1 3.288 * [backup-simplify]: Simplify (/ 1 1) into 1 3.288 * [taylor]: Taking taylor expansion of 1.0 in N 3.288 * [backup-simplify]: Simplify 1.0 into 1.0 3.289 * [backup-simplify]: Simplify (+ 1 0) into 1 3.289 * [backup-simplify]: Simplify (sqrt 0) into 0 3.290 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.291 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.291 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 3.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 3.291 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.291 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.291 * [taylor]: Taking taylor expansion of N in N 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 1 into 1 3.291 * [backup-simplify]: Simplify (/ 1 1) into 1 3.291 * [taylor]: Taking taylor expansion of 1.0 in N 3.291 * [backup-simplify]: Simplify 1.0 into 1.0 3.292 * [backup-simplify]: Simplify (+ 1 0) into 1 3.292 * [backup-simplify]: Simplify (sqrt 0) into 0 3.293 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.294 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.294 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.295 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.298 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.303 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 3.303 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.304 * [backup-simplify]: Simplify (+ 0 0) into 0 3.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.321 * [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 3.321 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.321 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 3.321 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (- N)) 1.0))) into (log (sqrt (- 1.0 (/ 1 N)))) 3.321 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 3.321 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 3.321 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 3.321 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.321 * [taylor]: Taking taylor expansion of 1.0 in N 3.321 * [backup-simplify]: Simplify 1.0 into 1.0 3.321 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.321 * [taylor]: Taking taylor expansion of N in N 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify 1 into 1 3.322 * [backup-simplify]: Simplify (/ 1 1) into 1 3.322 * [backup-simplify]: Simplify (- 1) into -1 3.322 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.322 * [backup-simplify]: Simplify (sqrt 0) into 0 3.323 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.323 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.323 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 3.324 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 3.324 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.324 * [taylor]: Taking taylor expansion of 1.0 in N 3.324 * [backup-simplify]: Simplify 1.0 into 1.0 3.324 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.324 * [taylor]: Taking taylor expansion of N in N 3.324 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify 1 into 1 3.324 * [backup-simplify]: Simplify (/ 1 1) into 1 3.324 * [backup-simplify]: Simplify (- 1) into -1 3.324 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.325 * [backup-simplify]: Simplify (sqrt 0) into 0 3.325 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.326 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.326 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.327 * [backup-simplify]: Simplify (- 0) into 0 3.327 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.329 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.332 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 3.332 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.333 * [backup-simplify]: Simplify (- 0) into 0 3.333 * [backup-simplify]: Simplify (+ 0 0) into 0 3.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.345 * [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 3.345 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.346 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 3.346 * * * * [progress]: [ 2 / 3 ] generating series at (2) 3.346 * [backup-simplify]: Simplify (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) into (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) 3.346 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in (N) around 0 3.346 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 3.346 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 3.346 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 3.346 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.346 * [taylor]: Taking taylor expansion of N in N 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify 1 into 1 3.346 * [taylor]: Taking taylor expansion of 1.0 in N 3.346 * [backup-simplify]: Simplify 1.0 into 1.0 3.347 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.347 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.348 * [backup-simplify]: Simplify (+ 1 0) into 1 3.349 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.350 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 3.350 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 3.350 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 3.350 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.350 * [taylor]: Taking taylor expansion of N in N 3.350 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify 1 into 1 3.350 * [backup-simplify]: Simplify (/ 1 1) into 1 3.350 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 3.350 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.350 * [taylor]: Taking taylor expansion of N in N 3.350 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify 1 into 1 3.350 * [taylor]: Taking taylor expansion of 1.0 in N 3.351 * [backup-simplify]: Simplify 1.0 into 1.0 3.351 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.351 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.352 * [backup-simplify]: Simplify (+ 1 0) into 1 3.353 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.354 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 3.354 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 3.354 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 3.355 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 3.355 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 3.355 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.355 * [taylor]: Taking taylor expansion of N in N 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [taylor]: Taking taylor expansion of 1.0 in N 3.355 * [backup-simplify]: Simplify 1.0 into 1.0 3.355 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.355 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.356 * [backup-simplify]: Simplify (+ 1 0) into 1 3.357 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.358 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 3.358 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 3.358 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 3.358 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.358 * [taylor]: Taking taylor expansion of N in N 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify 1 into 1 3.358 * [backup-simplify]: Simplify (/ 1 1) into 1 3.358 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 3.358 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.358 * [taylor]: Taking taylor expansion of N in N 3.359 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify 1 into 1 3.359 * [taylor]: Taking taylor expansion of 1.0 in N 3.359 * [backup-simplify]: Simplify 1.0 into 1.0 3.359 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.359 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.360 * [backup-simplify]: Simplify (+ 1 0) into 1 3.361 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.362 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 3.363 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 3.364 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 3.366 * [backup-simplify]: Simplify (+ (log (sqrt 1.0)) (- (log (sqrt 1.0)) (log N))) into (- (* 2 (log (sqrt 1.0))) (log N)) 3.367 * [backup-simplify]: Simplify (- (* 2 (log (sqrt 1.0))) (log N)) into (- (* 2 (log (sqrt 1.0))) (log N)) 3.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 3.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.379 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 3.390 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 1.0)))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 3.394 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sqrt 1.0) 2)) (/ 1/2 (pow (sqrt 1.0) 2))) into (/ 1 (pow (sqrt 1.0) 2)) 3.396 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 1.0) 2)) into (/ 1 (pow (sqrt 1.0) 2)) 3.396 * [backup-simplify]: Simplify (+ 0 0) into 0 3.401 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.417 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 3.418 * [backup-simplify]: Simplify (+ 0 0) into 0 3.421 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.424 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.447 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 1.0)))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 3.449 * [backup-simplify]: Simplify (+ (/ -1/4 (pow (sqrt 1.0) 4)) (/ -1/4 (pow (sqrt 1.0) 4))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 3.451 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 3.455 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) (pow N 2)) (+ (* (/ 1 (pow (sqrt 1.0) 2)) N) (- (* 2 (log (sqrt 1.0))) (log N)))) into (- (+ (* 2 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) 3.455 * [backup-simplify]: Simplify (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)))) into (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) 3.455 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 3.456 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 3.456 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 3.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 3.456 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.456 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.456 * [taylor]: Taking taylor expansion of N in N 3.456 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify 1 into 1 3.456 * [backup-simplify]: Simplify (/ 1 1) into 1 3.456 * [taylor]: Taking taylor expansion of 1.0 in N 3.456 * [backup-simplify]: Simplify 1.0 into 1.0 3.456 * [backup-simplify]: Simplify (+ 1 0) into 1 3.456 * [backup-simplify]: Simplify (sqrt 0) into 0 3.457 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.458 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.458 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 3.458 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 3.458 * [taylor]: Taking taylor expansion of N in N 3.458 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify 1 into 1 3.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 3.458 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.458 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.458 * [taylor]: Taking taylor expansion of N in N 3.458 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify 1 into 1 3.458 * [backup-simplify]: Simplify (/ 1 1) into 1 3.458 * [taylor]: Taking taylor expansion of 1.0 in N 3.458 * [backup-simplify]: Simplify 1.0 into 1.0 3.458 * [backup-simplify]: Simplify (+ 1 0) into 1 3.459 * [backup-simplify]: Simplify (sqrt 0) into 0 3.459 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.460 * [backup-simplify]: Simplify (* 0 0) into 0 3.460 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 3.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.461 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.463 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.465 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 3.465 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 3.465 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 3.465 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 3.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 3.465 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.465 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.465 * [taylor]: Taking taylor expansion of N in N 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify 1 into 1 3.466 * [backup-simplify]: Simplify (/ 1 1) into 1 3.466 * [taylor]: Taking taylor expansion of 1.0 in N 3.466 * [backup-simplify]: Simplify 1.0 into 1.0 3.466 * [backup-simplify]: Simplify (+ 1 0) into 1 3.466 * [backup-simplify]: Simplify (sqrt 0) into 0 3.467 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.467 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.467 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 3.467 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 3.467 * [taylor]: Taking taylor expansion of N in N 3.467 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify 1 into 1 3.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 3.467 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.467 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.467 * [taylor]: Taking taylor expansion of N in N 3.467 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify 1 into 1 3.468 * [backup-simplify]: Simplify (/ 1 1) into 1 3.468 * [taylor]: Taking taylor expansion of 1.0 in N 3.468 * [backup-simplify]: Simplify 1.0 into 1.0 3.468 * [backup-simplify]: Simplify (+ 1 0) into 1 3.468 * [backup-simplify]: Simplify (sqrt 0) into 0 3.469 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.469 * [backup-simplify]: Simplify (* 0 0) into 0 3.469 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 3.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.470 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.472 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.474 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 3.475 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 3.476 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 3.477 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 3.478 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 3.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.479 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.482 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.487 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 3.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.489 * [backup-simplify]: Simplify (+ 0 0) into 0 3.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.495 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.502 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 3.502 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.503 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.504 * [backup-simplify]: Simplify (+ 0 0) into 0 3.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.524 * [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 3.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.525 * [backup-simplify]: Simplify (+ 0 0) into 0 3.528 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.530 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 3.540 * [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 3.541 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.541 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.542 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))))) into (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 3.543 * [backup-simplify]: Simplify (+ (log (sqrt (+ (/ 1 (- N)) 1.0))) (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N))))) into (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) 3.543 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 3.543 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 3.543 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 3.543 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 3.543 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.543 * [taylor]: Taking taylor expansion of 1.0 in N 3.543 * [backup-simplify]: Simplify 1.0 into 1.0 3.543 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.543 * [taylor]: Taking taylor expansion of N in N 3.543 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify 1 into 1 3.543 * [backup-simplify]: Simplify (/ 1 1) into 1 3.543 * [backup-simplify]: Simplify (- 1) into -1 3.544 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.544 * [backup-simplify]: Simplify (sqrt 0) into 0 3.545 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.545 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.545 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 3.545 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 3.545 * [taylor]: Taking taylor expansion of -1 in N 3.545 * [backup-simplify]: Simplify -1 into -1 3.545 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 3.545 * [taylor]: Taking taylor expansion of N in N 3.545 * [backup-simplify]: Simplify 0 into 0 3.545 * [backup-simplify]: Simplify 1 into 1 3.545 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 3.545 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.545 * [taylor]: Taking taylor expansion of 1.0 in N 3.545 * [backup-simplify]: Simplify 1.0 into 1.0 3.545 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.545 * [taylor]: Taking taylor expansion of N in N 3.545 * [backup-simplify]: Simplify 0 into 0 3.545 * [backup-simplify]: Simplify 1 into 1 3.545 * [backup-simplify]: Simplify (/ 1 1) into 1 3.546 * [backup-simplify]: Simplify (- 1) into -1 3.546 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.546 * [backup-simplify]: Simplify (sqrt 0) into 0 3.547 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.547 * [backup-simplify]: Simplify (* 0 0) into 0 3.547 * [backup-simplify]: Simplify (* -1 0) into 0 3.548 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 3.549 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 3.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.550 * [backup-simplify]: Simplify (- 0) into 0 3.550 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.553 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.556 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 3.558 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 3.559 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 3.559 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 3.559 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 3.559 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 3.559 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.559 * [taylor]: Taking taylor expansion of 1.0 in N 3.559 * [backup-simplify]: Simplify 1.0 into 1.0 3.559 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.560 * [taylor]: Taking taylor expansion of N in N 3.560 * [backup-simplify]: Simplify 0 into 0 3.560 * [backup-simplify]: Simplify 1 into 1 3.560 * [backup-simplify]: Simplify (/ 1 1) into 1 3.560 * [backup-simplify]: Simplify (- 1) into -1 3.561 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.561 * [backup-simplify]: Simplify (sqrt 0) into 0 3.563 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.563 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.563 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 3.563 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 3.563 * [taylor]: Taking taylor expansion of -1 in N 3.563 * [backup-simplify]: Simplify -1 into -1 3.563 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 3.563 * [taylor]: Taking taylor expansion of N in N 3.563 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify 1 into 1 3.563 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 3.563 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.563 * [taylor]: Taking taylor expansion of 1.0 in N 3.563 * [backup-simplify]: Simplify 1.0 into 1.0 3.563 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.563 * [taylor]: Taking taylor expansion of N in N 3.564 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify 1 into 1 3.564 * [backup-simplify]: Simplify (/ 1 1) into 1 3.564 * [backup-simplify]: Simplify (- 1) into -1 3.565 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.565 * [backup-simplify]: Simplify (sqrt 0) into 0 3.566 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.567 * [backup-simplify]: Simplify (* 0 0) into 0 3.567 * [backup-simplify]: Simplify (* -1 0) into 0 3.568 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 3.569 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 3.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.570 * [backup-simplify]: Simplify (- 0) into 0 3.570 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.572 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.574 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 3.575 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 3.576 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 3.577 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 3.577 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 3.578 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 3.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.579 * [backup-simplify]: Simplify (- 0) into 0 3.579 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.581 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.584 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 3.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.585 * [backup-simplify]: Simplify (- 0) into 0 3.585 * [backup-simplify]: Simplify (+ 0 0) into 0 3.588 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.589 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.591 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 3.596 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 3.596 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.596 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.597 * [backup-simplify]: Simplify (- 0) into 0 3.597 * [backup-simplify]: Simplify (+ 0 0) into 0 3.600 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.615 * [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 3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.617 * [backup-simplify]: Simplify (- 0) into 0 3.617 * [backup-simplify]: Simplify (+ 0 0) into 0 3.622 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.630 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 3.633 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 3.652 * [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 3.652 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.653 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.655 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 3.655 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 3.656 * [backup-simplify]: Simplify (/ (sqrt (+ N 1.0)) N) into (* (/ 1 N) (sqrt (+ N 1.0))) 3.656 * [approximate]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in (N) around 0 3.656 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 3.656 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.656 * [taylor]: Taking taylor expansion of N in N 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify 1 into 1 3.656 * [backup-simplify]: Simplify (/ 1 1) into 1 3.656 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 3.656 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.656 * [taylor]: Taking taylor expansion of N in N 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify 1 into 1 3.656 * [taylor]: Taking taylor expansion of 1.0 in N 3.656 * [backup-simplify]: Simplify 1.0 into 1.0 3.657 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.657 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.658 * [backup-simplify]: Simplify (+ 1 0) into 1 3.659 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.659 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 3.659 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.659 * [taylor]: Taking taylor expansion of N in N 3.659 * [backup-simplify]: Simplify 0 into 0 3.660 * [backup-simplify]: Simplify 1 into 1 3.660 * [backup-simplify]: Simplify (/ 1 1) into 1 3.660 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 3.660 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.660 * [taylor]: Taking taylor expansion of N in N 3.660 * [backup-simplify]: Simplify 0 into 0 3.660 * [backup-simplify]: Simplify 1 into 1 3.660 * [taylor]: Taking taylor expansion of 1.0 in N 3.660 * [backup-simplify]: Simplify 1.0 into 1.0 3.661 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.661 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.661 * [backup-simplify]: Simplify (+ 1 0) into 1 3.663 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.664 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 3.665 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.669 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 3.670 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.671 * [backup-simplify]: Simplify (+ 0 0) into 0 3.677 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.684 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.687 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.692 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) N) (+ (/ 1/2 (sqrt 1.0)) (* (sqrt 1.0) (/ 1 N)))) into (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (/ (sqrt 1.0) N)) (* 1/8 (/ N (pow (sqrt 1.0) 3)))) 3.693 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)) into (* N (sqrt (+ (/ 1 N) 1.0))) 3.693 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 3.693 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) 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 (sqrt (+ (/ 1 N) 1.0)) in N 3.693 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 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 3.693 * [taylor]: Taking taylor expansion of 1.0 in N 3.693 * [backup-simplify]: Simplify 1.0 into 1.0 3.694 * [backup-simplify]: Simplify (+ 1 0) into 1 3.694 * [backup-simplify]: Simplify (sqrt 0) into 0 3.696 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.696 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 3.696 * [taylor]: Taking taylor expansion of N in N 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 1 into 1 3.696 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 3.696 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.696 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.696 * [taylor]: Taking taylor expansion of N in N 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 1 into 1 3.697 * [backup-simplify]: Simplify (/ 1 1) into 1 3.697 * [taylor]: Taking taylor expansion of 1.0 in N 3.697 * [backup-simplify]: Simplify 1.0 into 1.0 3.697 * [backup-simplify]: Simplify (+ 1 0) into 1 3.697 * [backup-simplify]: Simplify (sqrt 0) into 0 3.699 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.699 * [backup-simplify]: Simplify (* 0 0) into 0 3.699 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 3.700 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.701 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.704 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.707 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 3.707 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.709 * [backup-simplify]: Simplify (+ 0 0) into 0 3.712 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.715 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.715 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.717 * [backup-simplify]: Simplify (+ 0 0) into 0 3.721 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.725 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 3.725 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.727 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 3)) (+ (* (- +nan.0) (pow (/ 1 N) 2)) (* (- +nan.0) (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) 3.727 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N))) into (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) 3.727 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in (N) around 0 3.727 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 3.727 * [taylor]: Taking taylor expansion of -1 in N 3.727 * [backup-simplify]: Simplify -1 into -1 3.727 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 3.727 * [taylor]: Taking taylor expansion of N in N 3.727 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify 1 into 1 3.727 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 3.727 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.727 * [taylor]: Taking taylor expansion of 1.0 in N 3.727 * [backup-simplify]: Simplify 1.0 into 1.0 3.728 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.728 * [taylor]: Taking taylor expansion of N in N 3.728 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify 1 into 1 3.728 * [backup-simplify]: Simplify (/ 1 1) into 1 3.728 * [backup-simplify]: Simplify (- 1) into -1 3.729 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.729 * [backup-simplify]: Simplify (sqrt 0) into 0 3.730 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.730 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 3.730 * [taylor]: Taking taylor expansion of -1 in N 3.730 * [backup-simplify]: Simplify -1 into -1 3.730 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 3.730 * [taylor]: Taking taylor expansion of N in N 3.730 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify 1 into 1 3.731 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 3.731 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.731 * [taylor]: Taking taylor expansion of 1.0 in N 3.731 * [backup-simplify]: Simplify 1.0 into 1.0 3.731 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.731 * [taylor]: Taking taylor expansion of N in N 3.731 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify 1 into 1 3.731 * [backup-simplify]: Simplify (/ 1 1) into 1 3.731 * [backup-simplify]: Simplify (- 1) into -1 3.732 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.732 * [backup-simplify]: Simplify (sqrt 0) into 0 3.733 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.734 * [backup-simplify]: Simplify (* 0 0) into 0 3.734 * [backup-simplify]: Simplify (* -1 0) into 0 3.734 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 3.735 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 3.735 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.737 * [backup-simplify]: Simplify (- 0) into 0 3.737 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.740 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.742 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 3.745 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 3.745 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.746 * [backup-simplify]: Simplify (- 0) into 0 3.746 * [backup-simplify]: Simplify (+ 0 0) into 0 3.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.754 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.757 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 3.758 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.759 * [backup-simplify]: Simplify (- 0) into 0 3.759 * [backup-simplify]: Simplify (+ 0 0) into 0 3.764 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.774 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 3.779 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 3.779 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.781 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (* (- +nan.0) (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) 3.781 * * * [progress]: simplifying candidates 3.783 * [simplify]: Simplifying: (log (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log 1) (log (sqrt (+ N 1.0))) (log (sqrt (+ (pow N 3) (pow 1.0 3)))) (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (sqrt (- (* N N) (* 1.0 1.0)))) (log (sqrt (- N 1.0))) (log (+ N 1.0)) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (log (log (sqrt (+ N 1.0)))) (exp (log (sqrt (+ N 1.0)))) (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (* (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)) (log (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (exp (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (* (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N))) (* (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (- (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N)))) (- (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 1))) (+ (log (sqrt (+ N 1.0))) (log 1)) (+ (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (+ (log (cbrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (sqrt (- N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (sqrt (+ N 1.0))) (log N)) (log (/ (sqrt (+ N 1.0)) N)) (exp (/ (sqrt (+ N 1.0)) N)) (/ (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (* (* N N) N)) (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))) (cbrt (/ (sqrt (+ N 1.0)) N)) (* (* (/ (sqrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) N)) (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (- (sqrt (+ N 1.0))) (- N) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)) (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1) (/ (cbrt (sqrt (+ N 1.0))) N) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt (+ N 1.0))) (cbrt N)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)) (/ (sqrt (cbrt (+ N 1.0))) (sqrt N)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1) (/ (sqrt (cbrt (+ N 1.0))) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) 1) (/ (sqrt (sqrt (+ N 1.0))) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt (+ N 1.0)) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt (+ N 1.0)) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) 1) (/ (sqrt (sqrt (+ N 1.0))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 1) (/ (sqrt (+ N 1.0)) N) (/ 1 N) (/ N (sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ N (cbrt (sqrt (+ N 1.0)))) (/ N (sqrt (cbrt (+ N 1.0)))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (* N (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* N (sqrt (- N 1.0))) (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (+ (* 2 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (/ (sqrt 1.0) N)) (* 1/8 (/ N (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) 3.785 * * [simplify]: Extracting # 0 : cost 0 3.786 * * [simplify]: Extracting # 1 : cost 0 3.786 * * [simplify]: Extracting # 2 : cost 0 3.786 * * [simplify]: Extracting # 3 : cost 0 3.786 * * [simplify]: Extracting # 4 : cost 0 3.787 * * [simplify]: Extracting # 5 : cost 0 3.787 * * [simplify]: Extracting # 6 : cost 0 3.787 * * [simplify]: Extracting # 7 : cost 0 3.787 * * [simplify]: Extracting # 8 : cost 0 3.788 * * [simplify]: Extracting # 9 : cost 0 3.788 * * [simplify]: iteration 0 : 216 enodes (cost 1762 ) 3.835 * * [simplify]: Extracting # 0 : cost 0 3.836 * * [simplify]: Extracting # 1 : cost 0 3.836 * * [simplify]: Extracting # 2 : cost 0 3.837 * * [simplify]: Extracting # 3 : cost 0 3.838 * * [simplify]: Extracting # 4 : cost 0 3.838 * * [simplify]: iteration 1 : 466 enodes (cost 1615 ) 4.069 * * [simplify]: Extracting # 0 : cost 0 4.080 * * [simplify]: Extracting # 1 : cost 0 4.085 * * [simplify]: Extracting # 2 : cost 0 4.091 * * [simplify]: Extracting # 3 : cost 0 4.096 * * [simplify]: Extracting # 4 : cost 0 4.101 * * [simplify]: iteration 2 : 1723 enodes (cost 1490 ) 4.723 * * [simplify]: Extracting # 0 : cost 0 4.736 * * [simplify]: Extracting # 1 : cost 0 4.750 * * [simplify]: Extracting # 2 : cost 0 4.756 * * [simplify]: Extracting # 3 : cost 0 4.763 * * [simplify]: Extracting # 4 : cost 0 4.770 * * [simplify]: iteration done: 5000 enodes (cost 1464 ) 4.772 * [simplify]: Simplified to: (* 2 (log (cbrt (sqrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (fabs (cbrt (+ N 1.0)))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) 0 (log (sqrt (+ N 1.0))) 0 (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) 0 (log (sqrt (+ N 1.0))) (log (sqrt (+ (pow N 3) (pow 1.0 3)))) (log (sqrt (+ (* N N) (* 1.0 (- 1.0 N))))) (log (sqrt (- (* N N) (* 1.0 1.0)))) (log (sqrt (- N 1.0))) (log (+ N 1.0)) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (log (log (sqrt (+ N 1.0)))) (sqrt (+ N 1.0)) (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (pow (log (sqrt (+ N 1.0))) 3) (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (/ (+ 1.0 N) N) (log (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (/ (+ 1.0 N) N) (* (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (pow (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) 3) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (* (log (/ (sqrt (+ N 1.0)) N)) (- (log (/ (sqrt (+ N 1.0)) N)) (log (sqrt (+ N 1.0))))) (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))))) (* (+ 0 (log N)) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ 0 (log N)) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (* 2 (log (cbrt (/ (sqrt (+ N 1.0)) N)))) (log (sqrt (+ N 1.0)))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (- (* 2 (log (cbrt (sqrt (+ N 1.0))))) (log (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (- (* 2 (log (cbrt (sqrt (+ N 1.0))))) (log (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (* 2 (log (cbrt (sqrt (+ N 1.0)))))) (+ (log (/ (fabs (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (sqrt (+ N 1.0)))) (+ (log (/ (fabs (cbrt (+ N 1.0))) (sqrt N))) (log (sqrt (+ N 1.0)))) (+ (log (sqrt (+ N 1.0))) (log (fabs (cbrt (+ N 1.0))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0))))) (- (log (sqrt (+ N 1.0))) (log (* (cbrt N) (cbrt N)))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log (* (cbrt N) (cbrt N)))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (log (sqrt (+ N 1.0))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0))))) (- (log (sqrt (+ N 1.0))) (log (* (cbrt N) (cbrt N)))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (+ (log (cbrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (/ (sqrt (+ N 1.0)) N)) (log (sqrt (sqrt (+ N 1.0))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (/ (sqrt (+ N 1.0)) N)) (log (sqrt (sqrt (+ N 1.0))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (log (+ N 1.0)) (- (log (sqrt (+ (* N N) (* 1.0 (- 1.0 N))))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (sqrt (- N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N)) (exp (/ (sqrt (+ N 1.0)) N)) (pow (/ (sqrt (+ N 1.0)) N) 3) (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))) (cbrt (/ (sqrt (+ N 1.0)) N)) (pow (/ (sqrt (+ N 1.0)) N) 3) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (- (sqrt (+ N 1.0))) (- N) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)) (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (/ (cbrt (sqrt (+ N 1.0))) N) (/ (fabs (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt (+ N 1.0))) (cbrt N)) (/ (fabs (cbrt (+ N 1.0))) (sqrt N)) (/ (sqrt (cbrt (+ N 1.0))) (sqrt N)) (fabs (cbrt (+ N 1.0))) (/ (sqrt (cbrt (+ N 1.0))) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (sqrt (sqrt (+ N 1.0))) (/ (sqrt (sqrt (+ N 1.0))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) 1 (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) 1 (/ (sqrt (+ N 1.0)) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (sqrt (sqrt (+ N 1.0))) (/ (sqrt (sqrt (+ N 1.0))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) 1 (/ (sqrt (+ N 1.0)) N) (/ 1 N) (/ N (sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ N (cbrt (sqrt (+ N 1.0)))) (/ N (sqrt (cbrt (+ N 1.0)))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (* N (sqrt (+ (* N N) (* 1.0 (- 1.0 N))))) (* N (sqrt (- N 1.0))) (+ (/ (* 1/2 N) 1.0) (- (log (sqrt 1.0)) (/ (* 1/4 (* N N)) (* 1.0 1.0)))) (- (log +nan.0) (- (/ +nan.0 N) (/ +nan.0 (* N N)))) (- (log +nan.0) (- (/ +nan.0 N) (/ +nan.0 (* N N)))) (- (- (+ (* 2 (log (sqrt 1.0))) (/ N 1.0)) (* (/ (* N N) (* 1.0 1.0)) 1/2)) (log N)) (+ (- (/ +nan.0 N) (/ +nan.0 (* N N))) (- (+ (log (- +nan.0)) (log +nan.0)) (log N))) (+ (- (/ +nan.0 N) (/ +nan.0 (* N N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N))))) (- (+ (/ (sqrt 1.0) N) (/ 1/2 (sqrt 1.0))) (* 1/8 (/ N (pow (sqrt 1.0) 3)))) (- (+ (/ +nan.0 (pow N 3)) (- (/ +nan.0 N) (/ +nan.0 (* N N))))) (- (+ (/ +nan.0 (pow N 3)) (- (/ +nan.0 N) (/ +nan.0 (* N N))))) 4.773 * * * [progress]: adding candidates to table 5.157 * * [progress]: iteration 4 / 4 5.157 * * * [progress]: picking best candidate 5.167 * * * * [pick]: Picked # 5.167 * * * [progress]: localizing error 5.212 * * * [progress]: generating rewritten candidates 5.212 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2) 5.222 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 5.232 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 5.241 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 5.309 * * * [progress]: generating series expansions 5.309 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2) 5.310 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 5.310 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 5.310 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.310 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.310 * [taylor]: Taking taylor expansion of N in N 5.310 * [backup-simplify]: Simplify 0 into 0 5.310 * [backup-simplify]: Simplify 1 into 1 5.310 * [taylor]: Taking taylor expansion of 1.0 in N 5.310 * [backup-simplify]: Simplify 1.0 into 1.0 5.310 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.311 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.311 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.311 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.311 * [taylor]: Taking taylor expansion of N in N 5.311 * [backup-simplify]: Simplify 0 into 0 5.311 * [backup-simplify]: Simplify 1 into 1 5.311 * [taylor]: Taking taylor expansion of 1.0 in N 5.311 * [backup-simplify]: Simplify 1.0 into 1.0 5.311 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.311 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.312 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.312 * [backup-simplify]: Simplify (+ 1 0) into 1 5.315 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.315 * [backup-simplify]: Simplify 1.0 into 1.0 5.316 * [backup-simplify]: Simplify (+ 0 0) into 0 5.321 * [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)) 5.322 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 5.323 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 5.323 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 5.323 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 5.323 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.323 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.323 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.323 * [taylor]: Taking taylor expansion of N in N 5.323 * [backup-simplify]: Simplify 0 into 0 5.323 * [backup-simplify]: Simplify 1 into 1 5.323 * [backup-simplify]: Simplify (/ 1 1) into 1 5.323 * [taylor]: Taking taylor expansion of 1.0 in N 5.323 * [backup-simplify]: Simplify 1.0 into 1.0 5.324 * [backup-simplify]: Simplify (+ 1 0) into 1 5.324 * [backup-simplify]: Simplify (log 1) into 0 5.324 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.324 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.324 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.324 * [taylor]: Taking taylor expansion of N in N 5.324 * [backup-simplify]: Simplify 0 into 0 5.324 * [backup-simplify]: Simplify 1 into 1 5.324 * [backup-simplify]: Simplify (/ 1 1) into 1 5.324 * [taylor]: Taking taylor expansion of 1.0 in N 5.324 * [backup-simplify]: Simplify 1.0 into 1.0 5.324 * [backup-simplify]: Simplify (+ 1 0) into 1 5.325 * [backup-simplify]: Simplify (log 1) into 0 5.325 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.325 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.326 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.329 * [backup-simplify]: Simplify 1.0 into 1.0 5.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.330 * [backup-simplify]: Simplify (+ 0 0) into 0 5.339 * [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 5.339 * [backup-simplify]: Simplify -0.5 into -0.5 5.340 * [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)))) 5.340 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 5.340 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 5.340 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.340 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.340 * [taylor]: Taking taylor expansion of 1.0 in N 5.340 * [backup-simplify]: Simplify 1.0 into 1.0 5.340 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.340 * [taylor]: Taking taylor expansion of N in N 5.340 * [backup-simplify]: Simplify 0 into 0 5.340 * [backup-simplify]: Simplify 1 into 1 5.340 * [backup-simplify]: Simplify (/ 1 1) into 1 5.341 * [backup-simplify]: Simplify (- 1) into -1 5.341 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.342 * [backup-simplify]: Simplify (log -1) into (log -1) 5.342 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.342 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.342 * [taylor]: Taking taylor expansion of 1.0 in N 5.342 * [backup-simplify]: Simplify 1.0 into 1.0 5.342 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.342 * [taylor]: Taking taylor expansion of N in N 5.342 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify 1 into 1 5.342 * [backup-simplify]: Simplify (/ 1 1) into 1 5.342 * [backup-simplify]: Simplify (- 1) into -1 5.343 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.343 * [backup-simplify]: Simplify (log -1) into (log -1) 5.344 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.344 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 5.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.345 * [backup-simplify]: Simplify (- 0) into 0 5.346 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.352 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.352 * [backup-simplify]: Simplify -1.0 into -1.0 5.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.353 * [backup-simplify]: Simplify (- 0) into 0 5.353 * [backup-simplify]: Simplify (+ 0 0) into 0 5.364 * [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 5.364 * [backup-simplify]: Simplify -0.5 into -0.5 5.364 * [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)))) 5.364 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 5.365 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 5.365 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 5.365 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.365 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.365 * [taylor]: Taking taylor expansion of N in N 5.365 * [backup-simplify]: Simplify 0 into 0 5.365 * [backup-simplify]: Simplify 1 into 1 5.365 * [taylor]: Taking taylor expansion of 1.0 in N 5.365 * [backup-simplify]: Simplify 1.0 into 1.0 5.365 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.366 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.366 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.366 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.366 * [taylor]: Taking taylor expansion of N in N 5.366 * [backup-simplify]: Simplify 0 into 0 5.366 * [backup-simplify]: Simplify 1 into 1 5.366 * [taylor]: Taking taylor expansion of 1.0 in N 5.366 * [backup-simplify]: Simplify 1.0 into 1.0 5.366 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.367 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.367 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.367 * [backup-simplify]: Simplify (+ 1 0) into 1 5.372 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.372 * [backup-simplify]: Simplify 1.0 into 1.0 5.372 * [backup-simplify]: Simplify (+ 0 0) into 0 5.381 * [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)) 5.382 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 5.384 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 5.384 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 5.384 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 5.384 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.384 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.384 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.384 * [taylor]: Taking taylor expansion of N in N 5.385 * [backup-simplify]: Simplify 0 into 0 5.385 * [backup-simplify]: Simplify 1 into 1 5.389 * [backup-simplify]: Simplify (/ 1 1) into 1 5.389 * [taylor]: Taking taylor expansion of 1.0 in N 5.390 * [backup-simplify]: Simplify 1.0 into 1.0 5.390 * [backup-simplify]: Simplify (+ 1 0) into 1 5.391 * [backup-simplify]: Simplify (log 1) into 0 5.391 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.391 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.391 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.391 * [taylor]: Taking taylor expansion of N in N 5.391 * [backup-simplify]: Simplify 0 into 0 5.391 * [backup-simplify]: Simplify 1 into 1 5.391 * [backup-simplify]: Simplify (/ 1 1) into 1 5.391 * [taylor]: Taking taylor expansion of 1.0 in N 5.391 * [backup-simplify]: Simplify 1.0 into 1.0 5.392 * [backup-simplify]: Simplify (+ 1 0) into 1 5.392 * [backup-simplify]: Simplify (log 1) into 0 5.393 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.393 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.394 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.400 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.400 * [backup-simplify]: Simplify 1.0 into 1.0 5.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.402 * [backup-simplify]: Simplify (+ 0 0) into 0 5.413 * [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 5.413 * [backup-simplify]: Simplify -0.5 into -0.5 5.414 * [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)))) 5.414 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 5.414 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 5.414 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.414 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.414 * [taylor]: Taking taylor expansion of 1.0 in N 5.414 * [backup-simplify]: Simplify 1.0 into 1.0 5.414 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.414 * [taylor]: Taking taylor expansion of N in N 5.414 * [backup-simplify]: Simplify 0 into 0 5.414 * [backup-simplify]: Simplify 1 into 1 5.415 * [backup-simplify]: Simplify (/ 1 1) into 1 5.415 * [backup-simplify]: Simplify (- 1) into -1 5.416 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.416 * [backup-simplify]: Simplify (log -1) into (log -1) 5.416 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.416 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.416 * [taylor]: Taking taylor expansion of 1.0 in N 5.416 * [backup-simplify]: Simplify 1.0 into 1.0 5.416 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.416 * [taylor]: Taking taylor expansion of N in N 5.416 * [backup-simplify]: Simplify 0 into 0 5.416 * [backup-simplify]: Simplify 1 into 1 5.417 * [backup-simplify]: Simplify (/ 1 1) into 1 5.417 * [backup-simplify]: Simplify (- 1) into -1 5.417 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.418 * [backup-simplify]: Simplify (log -1) into (log -1) 5.419 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.419 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 5.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.420 * [backup-simplify]: Simplify (- 0) into 0 5.421 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.427 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.427 * [backup-simplify]: Simplify -1.0 into -1.0 5.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.428 * [backup-simplify]: Simplify (- 0) into 0 5.429 * [backup-simplify]: Simplify (+ 0 0) into 0 5.440 * [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 5.440 * [backup-simplify]: Simplify -0.5 into -0.5 5.441 * [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)))) 5.441 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 5.441 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 5.441 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 5.441 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.441 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.441 * [taylor]: Taking taylor expansion of N in N 5.441 * [backup-simplify]: Simplify 0 into 0 5.441 * [backup-simplify]: Simplify 1 into 1 5.441 * [taylor]: Taking taylor expansion of 1.0 in N 5.441 * [backup-simplify]: Simplify 1.0 into 1.0 5.442 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.442 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.442 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.442 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.442 * [taylor]: Taking taylor expansion of N in N 5.442 * [backup-simplify]: Simplify 0 into 0 5.442 * [backup-simplify]: Simplify 1 into 1 5.442 * [taylor]: Taking taylor expansion of 1.0 in N 5.442 * [backup-simplify]: Simplify 1.0 into 1.0 5.443 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.443 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.444 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.444 * [backup-simplify]: Simplify (+ 1 0) into 1 5.448 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.449 * [backup-simplify]: Simplify 1.0 into 1.0 5.449 * [backup-simplify]: Simplify (+ 0 0) into 0 5.454 * [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)) 5.455 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 5.456 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 5.456 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 5.456 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 5.456 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.456 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.456 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.456 * [taylor]: Taking taylor expansion of N in N 5.456 * [backup-simplify]: Simplify 0 into 0 5.456 * [backup-simplify]: Simplify 1 into 1 5.456 * [backup-simplify]: Simplify (/ 1 1) into 1 5.456 * [taylor]: Taking taylor expansion of 1.0 in N 5.456 * [backup-simplify]: Simplify 1.0 into 1.0 5.457 * [backup-simplify]: Simplify (+ 1 0) into 1 5.457 * [backup-simplify]: Simplify (log 1) into 0 5.457 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.457 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.457 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.457 * [taylor]: Taking taylor expansion of N in N 5.457 * [backup-simplify]: Simplify 0 into 0 5.457 * [backup-simplify]: Simplify 1 into 1 5.457 * [backup-simplify]: Simplify (/ 1 1) into 1 5.457 * [taylor]: Taking taylor expansion of 1.0 in N 5.457 * [backup-simplify]: Simplify 1.0 into 1.0 5.458 * [backup-simplify]: Simplify (+ 1 0) into 1 5.458 * [backup-simplify]: Simplify (log 1) into 0 5.458 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.458 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.459 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.462 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.462 * [backup-simplify]: Simplify 1.0 into 1.0 5.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.463 * [backup-simplify]: Simplify (+ 0 0) into 0 5.469 * [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 5.469 * [backup-simplify]: Simplify -0.5 into -0.5 5.469 * [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)))) 5.469 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 5.469 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 5.469 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.469 * [taylor]: Taking taylor expansion of 1.0 in N 5.469 * [backup-simplify]: Simplify 1.0 into 1.0 5.469 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.469 * [taylor]: Taking taylor expansion of N in N 5.469 * [backup-simplify]: Simplify 0 into 0 5.469 * [backup-simplify]: Simplify 1 into 1 5.470 * [backup-simplify]: Simplify (/ 1 1) into 1 5.470 * [backup-simplify]: Simplify (- 1) into -1 5.470 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.470 * [backup-simplify]: Simplify (log -1) into (log -1) 5.470 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.470 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.470 * [taylor]: Taking taylor expansion of 1.0 in N 5.471 * [backup-simplify]: Simplify 1.0 into 1.0 5.471 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.471 * [taylor]: Taking taylor expansion of N in N 5.471 * [backup-simplify]: Simplify 0 into 0 5.471 * [backup-simplify]: Simplify 1 into 1 5.471 * [backup-simplify]: Simplify (/ 1 1) into 1 5.471 * [backup-simplify]: Simplify (- 1) into -1 5.471 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.472 * [backup-simplify]: Simplify (log -1) into (log -1) 5.472 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.472 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 5.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.473 * [backup-simplify]: Simplify (- 0) into 0 5.473 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.477 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.477 * [backup-simplify]: Simplify -1.0 into -1.0 5.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.478 * [backup-simplify]: Simplify (- 0) into 0 5.478 * [backup-simplify]: Simplify (+ 0 0) into 0 5.484 * [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 5.484 * [backup-simplify]: Simplify -0.5 into -0.5 5.485 * [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)))) 5.485 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 5.485 * [backup-simplify]: Simplify (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) into (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) 5.485 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in (N) around 0 5.485 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 5.485 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 5.485 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.485 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.485 * [taylor]: Taking taylor expansion of N in N 5.485 * [backup-simplify]: Simplify 0 into 0 5.485 * [backup-simplify]: Simplify 1 into 1 5.485 * [taylor]: Taking taylor expansion of 1.0 in N 5.485 * [backup-simplify]: Simplify 1.0 into 1.0 5.486 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.486 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.486 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 5.486 * [taylor]: Taking taylor expansion of (log N) in N 5.486 * [taylor]: Taking taylor expansion of N in N 5.486 * [backup-simplify]: Simplify 0 into 0 5.486 * [backup-simplify]: Simplify 1 into 1 5.486 * [backup-simplify]: Simplify (log 1) into 0 5.486 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.486 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 5.486 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 5.486 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.487 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.487 * [taylor]: Taking taylor expansion of N in N 5.487 * [backup-simplify]: Simplify 0 into 0 5.487 * [backup-simplify]: Simplify 1 into 1 5.487 * [taylor]: Taking taylor expansion of 1.0 in N 5.487 * [backup-simplify]: Simplify 1.0 into 1.0 5.487 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.487 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.487 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 5.487 * [taylor]: Taking taylor expansion of (log N) in N 5.487 * [taylor]: Taking taylor expansion of N in N 5.487 * [backup-simplify]: Simplify 0 into 0 5.487 * [backup-simplify]: Simplify 1 into 1 5.487 * [backup-simplify]: Simplify (log 1) into 0 5.488 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.488 * [backup-simplify]: Simplify (* (log 1.0) (log 1.0)) into (pow (log 1.0) 2) 5.490 * [backup-simplify]: Simplify (* (log 1.0) (pow (log 1.0) 2)) into (pow (log 1.0) 3) 5.490 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.490 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.490 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.490 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 5.491 * [backup-simplify]: Simplify (* (log N) (pow (log N) 2)) into (pow (log N) 3) 5.491 * [backup-simplify]: Simplify (- (pow (log N) 3)) into (- (pow (log N) 3)) 5.491 * [backup-simplify]: Simplify (+ (pow (log 1.0) 3) (- (pow (log N) 3))) into (- (pow (log 1.0) 3) (pow (log N) 3)) 5.493 * [backup-simplify]: Simplify (- (pow (log 1.0) 3) (pow (log N) 3)) into (- (pow (log 1.0) 3) (pow (log N) 3)) 5.493 * [backup-simplify]: Simplify (+ 1 0) into 1 5.498 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.501 * [backup-simplify]: Simplify (+ (* (log 1.0) 1.0) (* 1.0 (log 1.0))) into (* 2.0 (log 1.0)) 5.509 * [backup-simplify]: Simplify (+ (* (log 1.0) (* 2.0 (log 1.0))) (* 1.0 (pow (log 1.0) 2))) into (* 3.0 (pow (log 1.0) 2)) 5.509 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.510 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.511 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.512 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.512 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (log N))) into 0 5.512 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (pow (log N) 2))) into 0 5.512 * [backup-simplify]: Simplify (- 0) into 0 5.515 * [backup-simplify]: Simplify (+ (* 3.0 (pow (log 1.0) 2)) 0) into (* 3.0 (pow (log 1.0) 2)) 5.517 * [backup-simplify]: Simplify (* 3.0 (pow (log 1.0) 2)) into (* 3.0 (pow (log 1.0) 2)) 5.517 * [backup-simplify]: Simplify (+ 0 0) into 0 5.528 * [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)) 5.535 * [backup-simplify]: Simplify (+ (* (log 1.0) (/ -1/2 (pow 1.0 2))) (+ (* 1.0 1.0) (* (/ -1/2 (pow 1.0 2)) (log 1.0)))) into (- 1.0 (/ (log 1.0) (pow 1.0 2))) 5.548 * [backup-simplify]: Simplify (+ (* (log 1.0) (- 1.0 (/ (log 1.0) (pow 1.0 2)))) (+ (* 1.0 (* 2.0 (log 1.0))) (* (/ -1/2 (pow 1.0 2)) (pow (log 1.0) 2)))) into (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 5.548 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.549 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.551 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.552 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.552 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (log N)))) into 0 5.553 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (pow (log N) 2)))) into 0 5.554 * [backup-simplify]: Simplify (- 0) into 0 5.560 * [backup-simplify]: Simplify (+ (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 0) into (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 5.563 * [backup-simplify]: Simplify (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) into (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 5.569 * [backup-simplify]: Simplify (+ (* (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) (pow N 2)) (+ (* (* 3.0 (pow (log 1.0) 2)) N) (- (pow (log 1.0) 3) (pow (log N) 3)))) into (- (+ (* 3.0 (* (pow N 2) (log 1.0))) (+ (* 3.0 (* N (pow (log 1.0) 2))) (pow (log 1.0) 3))) (+ (* 3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2))) (pow (log N) 3))) 5.569 * [backup-simplify]: Simplify (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) into (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) 5.569 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in (N) around 0 5.569 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 5.569 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 5.569 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.569 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.569 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.569 * [taylor]: Taking taylor expansion of N in N 5.569 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify 1 into 1 5.569 * [backup-simplify]: Simplify (/ 1 1) into 1 5.569 * [taylor]: Taking taylor expansion of 1.0 in N 5.569 * [backup-simplify]: Simplify 1.0 into 1.0 5.570 * [backup-simplify]: Simplify (+ 1 0) into 1 5.570 * [backup-simplify]: Simplify (log 1) into 0 5.570 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.570 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 5.570 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.570 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.570 * [taylor]: Taking taylor expansion of N in N 5.570 * [backup-simplify]: Simplify 0 into 0 5.570 * [backup-simplify]: Simplify 1 into 1 5.571 * [backup-simplify]: Simplify (/ 1 1) into 1 5.571 * [backup-simplify]: Simplify (log 1) into 0 5.571 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.571 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 5.571 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 5.571 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.571 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.571 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.571 * [taylor]: Taking taylor expansion of N in N 5.571 * [backup-simplify]: Simplify 0 into 0 5.571 * [backup-simplify]: Simplify 1 into 1 5.571 * [backup-simplify]: Simplify (/ 1 1) into 1 5.571 * [taylor]: Taking taylor expansion of 1.0 in N 5.571 * [backup-simplify]: Simplify 1.0 into 1.0 5.572 * [backup-simplify]: Simplify (+ 1 0) into 1 5.572 * [backup-simplify]: Simplify (log 1) into 0 5.572 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.572 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 5.572 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.572 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.572 * [taylor]: Taking taylor expansion of N in N 5.572 * [backup-simplify]: Simplify 0 into 0 5.572 * [backup-simplify]: Simplify 1 into 1 5.573 * [backup-simplify]: Simplify (/ 1 1) into 1 5.573 * [backup-simplify]: Simplify (log 1) into 0 5.573 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.573 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.574 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.574 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.574 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 5.574 * [backup-simplify]: Simplify (* (- (log N)) (pow (log N) 2)) into (* -1 (pow (log N) 3)) 5.574 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.575 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.575 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.575 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 5.575 * [backup-simplify]: Simplify (* (- (log N)) (pow (log N) 2)) into (* -1 (pow (log N) 3)) 5.575 * [backup-simplify]: Simplify (- (* -1 (pow (log N) 3))) into (pow (log N) 3) 5.576 * [backup-simplify]: Simplify (+ (* -1 (pow (log N) 3)) (pow (log N) 3)) into 0 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.576 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.577 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.580 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.581 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.581 * [backup-simplify]: Simplify (+ (* (- (log N)) 1.0) (* 1.0 (- (log N)))) into (- (* 2.0 (log N))) 5.581 * [backup-simplify]: Simplify (+ (* (- (log N)) (- (* 2.0 (log N)))) (* 1.0 (pow (log N) 2))) into (* 3.0 (pow (log N) 2)) 5.581 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.581 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.583 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.583 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.583 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 5.583 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (pow (log N) 2))) into 0 5.584 * [backup-simplify]: Simplify (- 0) into 0 5.584 * [backup-simplify]: Simplify (+ (* 3.0 (pow (log N) 2)) 0) into (* 3.0 (pow (log N) 2)) 5.584 * [backup-simplify]: Simplify (* 3.0 (pow (log N) 2)) into (* 3.0 (pow (log N) 2)) 5.584 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.584 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.585 * [backup-simplify]: Simplify (+ 0 0) into 0 5.591 * [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 5.591 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.592 * [backup-simplify]: Simplify (+ (* (- (log N)) -0.5) (+ (* 1.0 1.0) (* -0.5 (- (log N))))) into (+ 1.0 (* 1.0 (log N))) 5.592 * [backup-simplify]: Simplify (+ (* (- (log N)) (+ 1.0 (* 1.0 (log N)))) (+ (* 1.0 (- (* 2.0 (log N)))) (* -0.5 (pow (log N) 2)))) into (- (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N)))) 5.592 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.593 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.594 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.595 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.595 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.596 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (pow (log N) 2)))) into 0 5.596 * [backup-simplify]: Simplify (- 0) into 0 5.596 * [backup-simplify]: Simplify (+ (- (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N)))) 0) into (- (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N)))) 5.597 * [backup-simplify]: Simplify (- (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N)))) into (- (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N)))) 5.597 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.597 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.599 * [backup-simplify]: Simplify (+ 0 0) into 0 5.613 * [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 5.614 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.615 * [backup-simplify]: Simplify (+ (* (- (log N)) 0.3333333333333333) (+ (* 1.0 -0.5) (+ (* -0.5 1.0) (* 0.3333333333333333 (- (log N)))))) into (- (+ 1.0 (* 0.6666666666666666 (log N)))) 5.616 * [backup-simplify]: Simplify (+ (* (- (log N)) (- (+ 1.0 (* 0.6666666666666666 (log N))))) (+ (* 1.0 (+ 1.0 (* 1.0 (log N)))) (+ (* -0.5 (- (* 2.0 (log N)))) (* 0.3333333333333333 (pow (log N) 2))))) into (+ 1.0 (+ (* 1.0 (pow (log N) 2)) (* 3.0 (log N)))) 5.616 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.616 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.625 * [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 5.626 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.627 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.628 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (log N) 2))))) into 0 5.628 * [backup-simplify]: Simplify (- 0) into 0 5.628 * [backup-simplify]: Simplify (+ (+ 1.0 (+ (* 1.0 (pow (log N) 2)) (* 3.0 (log N)))) 0) into (+ 1.0 (+ (* 1.0 (pow (log N) 2)) (* 3.0 (log N)))) 5.629 * [backup-simplify]: Simplify (+ 1.0 (+ (* 1.0 (pow (log N) 2)) (* 3.0 (log N)))) into (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)) 5.631 * [backup-simplify]: Simplify (+ (* (+ (* 3.0 (log (/ 1 N))) (+ (* 1.0 (pow (log (/ 1 N)) 2)) 1.0)) (pow (/ 1 N) 3)) (+ (* (- (+ (* 1.5 (pow (log (/ 1 N)) 2)) (* 3.0 (log (/ 1 N))))) (pow (/ 1 N) 2)) (* (* 3.0 (pow (log (/ 1 N)) 2)) (/ 1 N)))) into (- (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1.0 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (* 3.0 (/ (log (/ 1 N)) (pow N 3)))))) (+ (* 1.5 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ 1 N)) (pow N 2))))) 5.631 * [backup-simplify]: Simplify (- (pow (log (+ (/ 1 (- N)) 1.0)) 3) (pow (log (/ 1 (- N))) 3)) into (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) 5.631 * [approximate]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in (N) around 0 5.631 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 5.631 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 5.631 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.632 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.632 * [taylor]: Taking taylor expansion of 1.0 in N 5.632 * [backup-simplify]: Simplify 1.0 into 1.0 5.632 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.632 * [taylor]: Taking taylor expansion of N in N 5.632 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify 1 into 1 5.632 * [backup-simplify]: Simplify (/ 1 1) into 1 5.633 * [backup-simplify]: Simplify (- 1) into -1 5.633 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.633 * [backup-simplify]: Simplify (log -1) into (log -1) 5.634 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.634 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 5.634 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 5.634 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.634 * [taylor]: Taking taylor expansion of -1 in N 5.634 * [backup-simplify]: Simplify -1 into -1 5.634 * [taylor]: Taking taylor expansion of N in N 5.634 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify 1 into 1 5.635 * [backup-simplify]: Simplify (/ -1 1) into -1 5.635 * [backup-simplify]: Simplify (log -1) into (log -1) 5.636 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.636 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 5.636 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 5.636 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.636 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.636 * [taylor]: Taking taylor expansion of 1.0 in N 5.636 * [backup-simplify]: Simplify 1.0 into 1.0 5.636 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.636 * [taylor]: Taking taylor expansion of N in N 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify 1 into 1 5.636 * [backup-simplify]: Simplify (/ 1 1) into 1 5.637 * [backup-simplify]: Simplify (- 1) into -1 5.637 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.638 * [backup-simplify]: Simplify (log -1) into (log -1) 5.638 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.638 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 5.638 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 5.638 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.638 * [taylor]: Taking taylor expansion of -1 in N 5.638 * [backup-simplify]: Simplify -1 into -1 5.638 * [taylor]: Taking taylor expansion of N in N 5.638 * [backup-simplify]: Simplify 0 into 0 5.638 * [backup-simplify]: Simplify 1 into 1 5.639 * [backup-simplify]: Simplify (/ -1 1) into -1 5.639 * [backup-simplify]: Simplify (log -1) into (log -1) 5.640 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.641 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.641 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.642 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.643 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 5.644 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (pow (- (log -1) (log N)) 2)) into (pow (- (log -1) (log N)) 3) 5.645 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.646 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.647 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.648 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 5.649 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (pow (- (log -1) (log N)) 2)) into (pow (- (log -1) (log N)) 3) 5.649 * [backup-simplify]: Simplify (- (pow (- (log -1) (log N)) 3)) into (- (+ (* 3 (* (pow (log -1) 2) (log N))) (pow (log N) 3)) (+ (* 3 (* (log -1) (pow (log N) 2))) (pow (log -1) 3))) 5.653 * [backup-simplify]: Simplify (+ (pow (- (log -1) (log N)) 3) (- (+ (* 3 (* (pow (log -1) 2) (log N))) (pow (log N) 3)) (+ (* 3 (* (log -1) (pow (log N) 2))) (pow (log -1) 3)))) into 0 5.653 * [backup-simplify]: Simplify 0 into 0 5.653 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.654 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.655 * [backup-simplify]: Simplify (- 0) into 0 5.655 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.660 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.661 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.661 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1.0) (* -1.0 (- (log -1) (log N)))) into (- (* 2.0 (log N)) (* 2.0 (log -1))) 5.663 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) (- (* 2.0 (log N)) (* 2.0 (log -1)))) (* -1.0 (pow (- (log -1) (log N)) 2))) into (- (* 6.0 (* (log -1) (log N))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 5.663 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.664 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.665 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 5.665 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.666 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 5.667 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (pow (- (log -1) (log N)) 2))) into 0 5.667 * [backup-simplify]: Simplify (- 0) into 0 5.668 * [backup-simplify]: Simplify (+ (- (* 6.0 (* (log -1) (log N))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 0) into (- (* 6.0 (* (log -1) (log N))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 5.670 * [backup-simplify]: Simplify (- (* 6.0 (* (log -1) (log N))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) into (- (* 6.0 (* (log -1) (log N))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 5.670 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.671 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.671 * [backup-simplify]: Simplify (- 0) into 0 5.672 * [backup-simplify]: Simplify (+ 0 0) into 0 5.678 * [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 5.678 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.679 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -0.5) (+ (* -1.0 -1.0) (* -0.5 (- (log -1) (log N))))) into (- (+ 1.0 (* 1.0 (log N))) (* 1.0 (log -1))) 5.682 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) (- (+ 1.0 (* 1.0 (log N))) (* 1.0 (log -1)))) (+ (* -1.0 (- (* 2.0 (log N)) (* 2.0 (log -1)))) (* -0.5 (pow (- (log -1) (log N)) 2)))) into (- (+ (* 3.0 (log -1)) (* 3.0 (* (log -1) (log N)))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N))))) 5.682 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.683 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.685 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 5.686 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.686 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 5.687 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (pow (- (log -1) (log N)) 2)))) into 0 5.688 * [backup-simplify]: Simplify (- 0) into 0 5.692 * [backup-simplify]: Simplify (+ (- (+ (* 3.0 (log -1)) (* 3.0 (* (log -1) (log N)))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N))))) 0) into (- (+ (* 3.0 (log -1)) (* 3.0 (* (log -1) (log N)))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N))))) 5.696 * [backup-simplify]: Simplify (- (+ (* 3.0 (log -1)) (* 3.0 (* (log -1) (log N)))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N))))) into (- (+ (* 3.0 (log -1)) (* 3.0 (* (log -1) (log N)))) (+ (* 1.5 (pow (log N) 2)) (+ (* 3.0 (log N)) (* 1.5 (pow (log -1) 2))))) 5.697 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.697 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.699 * [backup-simplify]: Simplify (- 0) into 0 5.699 * [backup-simplify]: Simplify (+ 0 0) into 0 5.715 * [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 5.715 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.716 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -0.3333333333333333) (+ (* -1.0 -0.5) (+ (* -0.5 -1.0) (* -0.3333333333333333 (- (log -1) (log N)))))) into (- (+ 1.0 (* 0.6666666666666666 (log N))) (* 0.6666666666666666 (log -1))) 5.719 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) (- (+ 1.0 (* 0.6666666666666666 (log N))) (* 0.6666666666666666 (log -1)))) (+ (* -1.0 (- (+ 1.0 (* 1.0 (log N))) (* 1.0 (log -1)))) (+ (* -0.5 (- (* 2.0 (log N)) (* 2.0 (log -1)))) (* -0.3333333333333333 (pow (- (log -1) (log N)) 2))))) into (- (+ (* 3.0 (log -1)) (* 2.0 (* (log -1) (log N)))) (+ 1.0 (+ (* 1.0 (pow (log N) 2)) (+ (* 1.0 (pow (log -1) 2)) (* 3.0 (log N)))))) 5.719 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.720 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.723 * [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 5.724 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.725 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 5.726 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (- (log -1) (log N)) 2))))) into 0 5.726 * [backup-simplify]: Simplify (- 0) into 0 5.728 * [backup-simplify]: Simplify (+ (- (+ (* 3.0 (log -1)) (* 2.0 (* (log -1) (log N)))) (+ 1.0 (+ (* 1.0 (pow (log N) 2)) (+ (* 1.0 (pow (log -1) 2)) (* 3.0 (log N)))))) 0) into (- (+ (* 3.0 (log -1)) (* 2.0 (* (log -1) (log N)))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 1.0 (pow (log N) 2)) (+ (* 3.0 (log N)) 1.0)))) 5.730 * [backup-simplify]: Simplify (- (+ (* 3.0 (log -1)) (* 2.0 (* (log -1) (log N)))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 1.0 (pow (log N) 2)) (+ (* 3.0 (log N)) 1.0)))) into (- (+ (* 3.0 (log -1)) (* 2.0 (* (log -1) (log N)))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 1.0 (pow (log N) 2)) (+ (* 3.0 (log N)) 1.0)))) 5.739 * [backup-simplify]: Simplify (+ (* (- (+ (* 3.0 (log -1)) (* 2.0 (* (log -1) (log (/ 1 (- N)))))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 1.0 (pow (log (/ 1 (- N))) 2)) (+ (* 3.0 (log (/ 1 (- N)))) 1.0)))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (* 3.0 (log -1)) (* 3.0 (* (log -1) (log (/ 1 (- N)))))) (+ (* 1.5 (pow (log (/ 1 (- N))) 2)) (+ (* 3.0 (log (/ 1 (- N)))) (* 1.5 (pow (log -1) 2))))) (pow (/ 1 (- N)) 2)) (* (- (* 6.0 (* (log -1) (log (/ 1 (- N))))) (+ (* 3.0 (pow (log (/ 1 (- N))) 2)) (* 3.0 (pow (log -1) 2)))) (/ 1 (- N))))) into (- (+ (* 3.0 (/ (pow (log -1) 2) N)) (+ (* 3.0 (/ (log (/ -1 N)) (pow N 3))) (+ (* 1.0 (/ (pow (log -1) 2) (pow N 3))) (+ (* 3.0 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (* (log -1) (log (/ -1 N))) (pow N 2))) (+ (* 1.0 (/ (pow (log (/ -1 N)) 2) (pow N 3))) (* 3.0 (/ (log -1) (pow N 2)))))))))) (+ (* 2.0 (/ (* (log -1) (log (/ -1 N))) (pow N 3))) (+ (* 1.5 (/ (pow (log -1) 2) (pow N 2))) (+ (* 3.0 (/ (log -1) (pow N 3))) (+ (* 6.0 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ -1 N)) (pow N 2))))))))) 5.739 * * * [progress]: simplifying candidates 5.741 * [simplify]: Simplifying: (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))) (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))) (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 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(/ (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)))) (- (+ (* 1.0 N) (log 1.0)) (* 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)))) (- (+ (* 3.0 (* (pow N 2) (log 1.0))) (+ (* 3.0 (* N (pow (log 1.0) 2))) (pow (log 1.0) 3))) (+ (* 3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2))) (pow (log N) 3))) (- (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1.0 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (* 3.0 (/ (log (/ 1 N)) (pow N 3)))))) (+ (* 1.5 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ 1 N)) (pow N 2))))) (- (+ (* 3.0 (/ (pow (log -1) 2) N)) (+ (* 3.0 (/ (log (/ -1 N)) (pow N 3))) (+ (* 1.0 (/ (pow (log -1) 2) (pow N 3))) (+ (* 3.0 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (* (log -1) (log (/ -1 N))) (pow N 2))) (+ (* 1.0 (/ (pow (log (/ -1 N)) 2) (pow N 3))) (* 3.0 (/ (log -1) (pow N 2)))))))))) (+ (* 2.0 (/ (* (log -1) (log (/ -1 N))) (pow N 3))) (+ (* 1.5 (/ (pow (log -1) 2) (pow N 2))) (+ (* 3.0 (/ (log -1) (pow N 3))) (+ (* 6.0 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ -1 N)) (pow N 2))))))))) 5.744 * * [simplify]: Extracting # 0 : cost 0 5.744 * * [simplify]: Extracting # 1 : cost 0 5.744 * * [simplify]: Extracting # 2 : cost 0 5.744 * * [simplify]: Extracting # 3 : cost 0 5.744 * * [simplify]: Extracting # 4 : cost 0 5.744 * * [simplify]: Extracting # 5 : cost 0 5.745 * * [simplify]: Extracting # 6 : cost 0 5.745 * * [simplify]: Extracting # 7 : cost 0 5.745 * * [simplify]: Extracting # 8 : cost 0 5.745 * * [simplify]: Extracting # 9 : cost 0 5.745 * * [simplify]: Extracting # 10 : cost 0 5.746 * * [simplify]: Extracting # 11 : cost 0 5.746 * * [simplify]: Extracting # 12 : cost 0 5.746 * * [simplify]: Extracting # 13 : cost 0 5.746 * * [simplify]: Extracting # 14 : cost 0 5.747 * * [simplify]: iteration 0 : 193 enodes (cost 1673 ) 5.812 * * [simplify]: Extracting # 0 : cost 0 5.812 * * [simplify]: Extracting # 1 : cost 0 5.813 * * [simplify]: Extracting # 2 : cost 0 5.813 * * [simplify]: Extracting # 3 : cost 0 5.814 * * [simplify]: Extracting # 4 : cost 0 5.814 * * [simplify]: iteration 1 : 481 enodes (cost 1563 ) 6.075 * * [simplify]: Extracting # 0 : cost 0 6.079 * * [simplify]: Extracting # 1 : cost 0 6.084 * * [simplify]: Extracting # 2 : cost 0 6.089 * * [simplify]: Extracting # 3 : cost 0 6.094 * * [simplify]: Extracting # 4 : cost 0 6.098 * * [simplify]: iteration 2 : 2111 enodes (cost 1497 ) 6.911 * * [simplify]: Extracting # 0 : cost 0 6.919 * * [simplify]: Extracting # 1 : cost 0 6.927 * * [simplify]: Extracting # 2 : cost 0 6.934 * * [simplify]: Extracting # 3 : cost 0 6.949 * * [simplify]: Extracting # 4 : cost 0 6.961 * * [simplify]: iteration done: 5003 enodes (cost 1497 ) 6.962 * [simplify]: Simplified to: (* 2 (log (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 (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 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))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (* 2 (log (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 (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 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))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 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(log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log N) 3)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (- (+ (/ 1.0 N) (log -1)) (/ 0.5 (* N N))) (log (/ -1 N))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (- (+ (/ 1.0 N) (log -1)) (/ 0.5 (* N N))) (log (/ -1 N))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (- (+ (/ 1.0 N) (log -1)) (/ 0.5 (* N N))) (log (/ -1 N))) (+ (* 3.0 (+ (* (pow N 2) (log 1.0)) (* N (pow (log 1.0) 2)))) (- (pow (log 1.0) 3) (+ (* 3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2))) (pow (log N) 3)))) (+ (+ (* 3.0 (/ (pow (- (log N)) 2) N)) (+ (/ (* 1.0 (pow (- (log N)) 2)) (pow N 3)) (* (/ (- (log N)) (pow N 3)) 3.0))) (- (/ 1.0 (pow N 3)) (+ (* 1.5 (/ (pow (- (log N)) 2) (* N N))) (* 3.0 (/ (- (log N)) (* N N)))))) (- (+ (+ (+ (+ (* 1.0 (/ (pow (log -1) 2) (pow N 3))) (* 3.0 (/ (pow (log (/ -1 N)) 2) N))) (+ (/ 1.0 (pow N 3)) (* 3.0 (/ (* (log -1) (log (/ -1 N))) (pow N 2))))) (+ (* 1.0 (/ (pow (log (/ -1 N)) 2) (pow N 3))) (* 3.0 (/ (log -1) (pow N 2))))) (* 3.0 (+ (/ (pow (log -1) 2) N) (/ (log (/ -1 N)) (pow N 3))))) (+ (* 2.0 (/ (* (log -1) (log (/ -1 N))) (pow N 3))) (+ (* 1.5 (/ (pow (log -1) 2) (pow N 2))) (+ (* 3.0 (/ (log -1) (pow N 3))) (+ (* 6.0 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ -1 N)) (pow N 2))))))))) 6.963 * * * [progress]: adding candidates to table 7.385 * [progress]: [Phase 3 of 3] Extracting. 7.385 * * [regime]: Finding splitpoints for: (# # # # # #) 7.393 * * * [regime-changes]: Trying 1 branch expressions: (N) 7.393 * * * * [regimes]: Trying to branch on N from (# # # # # #) 7.443 * * * [regime]: Found split indices: #