0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.095 * * * [progress]: [2/2] Setting up program. 0.099 * [progress]: [Phase 2 of 3] Improving. 0.100 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.100 * [simplify]: Simplifying (- (log (+ N 1)) (log N)) 0.100 * * [simplify]: iters left: 5 (6 enodes) 0.103 * * [simplify]: iters left: 4 (23 enodes) 0.110 * * [simplify]: iters left: 3 (28 enodes) 0.115 * * [simplify]: Extracting #0: cost 1 inf + 0 0.115 * * [simplify]: Extracting #1: cost 5 inf + 0 0.115 * * [simplify]: Extracting #2: cost 10 inf + 0 0.115 * * [simplify]: Extracting #3: cost 11 inf + 1 0.115 * * [simplify]: Extracting #4: cost 6 inf + 228 0.115 * * [simplify]: Extracting #5: cost 1 inf + 896 0.116 * * [simplify]: Extracting #6: cost 0 inf + 1118 0.116 * [simplify]: Simplified to (- (log (+ 1 N)) (log N)) 0.116 * [simplify]: Simplified (2) to (λ (N) (- (log (+ 1 N)) (log N))) 0.118 * * [progress]: iteration 1 / 4 0.118 * * * [progress]: picking best candidate 0.120 * * * * [pick]: Picked # 0.120 * * * [progress]: localizing error 0.132 * * * [progress]: generating rewritten candidates 0.132 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.140 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.143 * * * [progress]: generating series expansions 0.143 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.144 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.144 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.144 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.144 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.144 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.144 * [taylor]: Taking taylor expansion of N in N 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [taylor]: Taking taylor expansion of 1 in N 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (+ 0 1) into 1 0.145 * [backup-simplify]: Simplify (log 1) into 0 0.145 * [taylor]: Taking taylor expansion of (log N) in N 0.145 * [taylor]: Taking taylor expansion of N in N 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (log 1) into 0 0.146 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.146 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.146 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [taylor]: Taking taylor expansion of 1 in N 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (+ 0 1) into 1 0.146 * [backup-simplify]: Simplify (log 1) into 0 0.146 * [taylor]: Taking taylor expansion of (log N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (log 1) into 0 0.148 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.148 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.148 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.148 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.148 * [backup-simplify]: Simplify (+ 1 0) into 1 0.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.151 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.151 * [backup-simplify]: Simplify (+ 1 0) into 1 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.155 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.156 * [backup-simplify]: Simplify -1/2 into -1/2 0.156 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.156 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.156 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.156 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.156 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.156 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.156 * [taylor]: Taking taylor expansion of N in N 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of 1 in N 0.156 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (+ 1 0) into 1 0.157 * [backup-simplify]: Simplify (log 1) into 0 0.157 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.157 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.157 * [taylor]: Taking taylor expansion of N in N 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.157 * [backup-simplify]: Simplify (log 1) into 0 0.157 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.157 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.158 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.158 * [taylor]: Taking taylor expansion of N in N 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [taylor]: Taking taylor expansion of 1 in N 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (+ 1 0) into 1 0.158 * [backup-simplify]: Simplify (log 1) into 0 0.158 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.158 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.158 * [taylor]: Taking taylor expansion of N in N 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [backup-simplify]: Simplify (log 1) into 0 0.159 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.160 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.160 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.160 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 1) into 1 0.161 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.163 * [backup-simplify]: Simplify (- 0) into 0 0.163 * [backup-simplify]: Simplify (+ 1 0) into 1 0.163 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.176 * [backup-simplify]: Simplify (- 0) into 0 0.177 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.177 * [backup-simplify]: Simplify -1/2 into -1/2 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.181 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.184 * [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 0.185 * [backup-simplify]: Simplify (- 0) into 0 0.185 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.185 * [backup-simplify]: Simplify 1/3 into 1/3 0.186 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.186 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.186 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.186 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.186 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.186 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.186 * [taylor]: Taking taylor expansion of 1 in N 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (/ 1 1) into 1 0.186 * [backup-simplify]: Simplify (- 1) into -1 0.187 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.187 * [backup-simplify]: Simplify (log -1) into (log -1) 0.187 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.187 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.187 * [taylor]: Taking taylor expansion of -1 in N 0.187 * [backup-simplify]: Simplify -1 into -1 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 0.188 * [backup-simplify]: Simplify (log -1) into (log -1) 0.188 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.188 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.188 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.188 * [taylor]: Taking taylor expansion of 1 in N 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.188 * [taylor]: Taking taylor expansion of N in N 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [backup-simplify]: Simplify (- 1) into -1 0.188 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.189 * [backup-simplify]: Simplify (log -1) into (log -1) 0.189 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.189 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.189 * [taylor]: Taking taylor expansion of -1 in N 0.189 * [backup-simplify]: Simplify -1 into -1 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ -1 1) into -1 0.189 * [backup-simplify]: Simplify (log -1) into (log -1) 0.190 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.190 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.191 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.191 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (- 0) into 0 0.193 * [backup-simplify]: Simplify (+ 1 0) into 1 0.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.198 * [backup-simplify]: Simplify (+ -1 0) into -1 0.198 * [backup-simplify]: Simplify -1 into -1 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.208 * [backup-simplify]: Simplify (- 0) into 0 0.209 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.209 * [backup-simplify]: Simplify -1/2 into -1/2 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (- 0) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 0.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [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 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.222 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.222 * [backup-simplify]: Simplify -1/3 into -1/3 0.222 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.223 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.223 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.223 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.223 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.223 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.223 * [taylor]: Taking taylor expansion of N in N 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [taylor]: Taking taylor expansion of 1 in N 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (+ 0 1) into 1 0.223 * [backup-simplify]: Simplify (log 1) into 0 0.223 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.223 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.223 * [taylor]: Taking taylor expansion of N in N 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [taylor]: Taking taylor expansion of 1 in N 0.223 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (+ 0 1) into 1 0.224 * [backup-simplify]: Simplify (log 1) into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify (+ 1 0) into 1 0.225 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.227 * [backup-simplify]: Simplify -1/2 into -1/2 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.231 * [backup-simplify]: Simplify 1/3 into 1/3 0.231 * [backup-simplify]: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 0.231 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.231 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.231 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.231 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.231 * [taylor]: Taking taylor expansion of N in N 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [taylor]: Taking taylor expansion of 1 in N 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (+ 1 0) into 1 0.232 * [backup-simplify]: Simplify (log 1) into 0 0.232 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.232 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.232 * [taylor]: Taking taylor expansion of N in N 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [taylor]: Taking taylor expansion of 1 in N 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (+ 1 0) into 1 0.233 * [backup-simplify]: Simplify (log 1) into 0 0.234 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.234 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ 0 1) into 1 0.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.236 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.239 * [backup-simplify]: Simplify -1/2 into -1/2 0.239 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.239 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.239 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.239 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.239 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.239 * [taylor]: Taking taylor expansion of 1 in N 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.239 * [taylor]: Taking taylor expansion of N in N 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [backup-simplify]: Simplify (- 1) into -1 0.240 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.240 * [backup-simplify]: Simplify (log -1) into (log -1) 0.240 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.240 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.240 * [taylor]: Taking taylor expansion of 1 in N 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [backup-simplify]: Simplify (- 1) into -1 0.241 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.241 * [backup-simplify]: Simplify (log -1) into (log -1) 0.242 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.242 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (- 0) into 0 0.243 * [backup-simplify]: Simplify (+ 1 0) into 1 0.244 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.244 * [backup-simplify]: Simplify -1 into -1 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.247 * [backup-simplify]: Simplify -1/2 into -1/2 0.247 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.247 * * * [progress]: simplifying candidates 0.247 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.248 * [simplify]: Simplifying (/ (+ N 1) N) 0.248 * * [simplify]: iters left: 4 (4 enodes) 0.250 * * [simplify]: iters left: 3 (15 enodes) 0.255 * * [simplify]: iters left: 2 (17 enodes) 0.260 * * [simplify]: Extracting #0: cost 1 inf + 0 0.260 * * [simplify]: Extracting #1: cost 4 inf + 0 0.260 * * [simplify]: Extracting #2: cost 5 inf + 1 0.260 * * [simplify]: Extracting #3: cost 3 inf + 44 0.261 * * [simplify]: Extracting #4: cost 1 inf + 168 0.261 * * [simplify]: Extracting #5: cost 0 inf + 250 0.261 * [simplify]: Simplified to (/ (+ 1 N) N) 0.261 * [simplify]: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) 0.261 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.261 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.261 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.261 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.261 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.261 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.261 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.261 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.262 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.262 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.262 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.262 * [simplify]: Simplifying (+ (sqrt (log (+ N 1))) (sqrt (log N))) 0.262 * * [simplify]: iters left: 6 (8 enodes) 0.266 * * [simplify]: iters left: 5 (28 enodes) 0.274 * * [simplify]: iters left: 4 (30 enodes) 0.279 * * [simplify]: Extracting #0: cost 1 inf + 0 0.279 * * [simplify]: Extracting #1: cost 4 inf + 0 0.279 * * [simplify]: Extracting #2: cost 8 inf + 0 0.279 * * [simplify]: Extracting #3: cost 12 inf + 0 0.279 * * [simplify]: Extracting #4: cost 10 inf + 254 0.279 * * [simplify]: Extracting #5: cost 8 inf + 366 0.280 * * [simplify]: Extracting #6: cost 5 inf + 562 0.280 * * [simplify]: Extracting #7: cost 1 inf + 1280 0.280 * * [simplify]: Extracting #8: cost 0 inf + 1582 0.280 * [simplify]: Simplified to (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) 0.280 * [simplify]: Simplified (2 1) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) (- (sqrt (log (+ N 1))) (sqrt (log N))))) 0.280 * [simplify]: Simplifying (- (sqrt (log (+ N 1))) (sqrt (log N))) 0.281 * * [simplify]: iters left: 6 (8 enodes) 0.283 * * [simplify]: iters left: 5 (29 enodes) 0.287 * * [simplify]: iters left: 4 (34 enodes) 0.295 * * [simplify]: Extracting #0: cost 1 inf + 0 0.295 * * [simplify]: Extracting #1: cost 5 inf + 0 0.295 * * [simplify]: Extracting #2: cost 10 inf + 0 0.295 * * [simplify]: Extracting #3: cost 14 inf + 0 0.295 * * [simplify]: Extracting #4: cost 15 inf + 1 0.295 * * [simplify]: Extracting #5: cost 13 inf + 73 0.295 * * [simplify]: Extracting #6: cost 5 inf + 864 0.296 * * [simplify]: Extracting #7: cost 0 inf + 1884 0.296 * [simplify]: Simplified to (- (sqrt (log (+ 1 N))) (sqrt (log N))) 0.296 * [simplify]: Simplified (2 2) to (λ (N) (* (+ (sqrt (log (+ N 1))) (sqrt (log N))) (- (sqrt (log (+ 1 N))) (sqrt (log N))))) 0.296 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.296 * [simplify]: Simplifying (- (log (+ N 1)) (log N)) 0.296 * * [simplify]: iters left: 5 (6 enodes) 0.298 * * [simplify]: iters left: 4 (23 enodes) 0.302 * * [simplify]: iters left: 3 (28 enodes) 0.306 * * [simplify]: Extracting #0: cost 1 inf + 0 0.307 * * [simplify]: Extracting #1: cost 5 inf + 0 0.307 * * [simplify]: Extracting #2: cost 10 inf + 0 0.307 * * [simplify]: Extracting #3: cost 11 inf + 1 0.307 * * [simplify]: Extracting #4: cost 6 inf + 228 0.307 * * [simplify]: Extracting #5: cost 1 inf + 896 0.307 * * [simplify]: Extracting #6: cost 0 inf + 1118 0.308 * [simplify]: Simplified to (- (log (+ 1 N)) (log N)) 0.308 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (log (+ 1 N)) (log N)))) 0.308 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.308 * [simplify]: Simplifying (- (log (+ N 1)) (log N)) 0.308 * * [simplify]: iters left: 5 (6 enodes) 0.311 * * [simplify]: iters left: 4 (23 enodes) 0.319 * * [simplify]: iters left: 3 (28 enodes) 0.323 * * [simplify]: Extracting #0: cost 1 inf + 0 0.323 * * [simplify]: Extracting #1: cost 5 inf + 0 0.323 * * [simplify]: Extracting #2: cost 10 inf + 0 0.323 * * [simplify]: Extracting #3: cost 11 inf + 1 0.323 * * [simplify]: Extracting #4: cost 6 inf + 228 0.324 * * [simplify]: Extracting #5: cost 1 inf + 896 0.324 * * [simplify]: Extracting #6: cost 0 inf + 1118 0.324 * [simplify]: Simplified to (- (log (+ 1 N)) (log N)) 0.324 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (log (+ 1 N)) (log N)))) 0.324 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.325 * [simplify]: Simplifying (- (log (+ N 1)) (log N)) 0.325 * * [simplify]: iters left: 5 (6 enodes) 0.328 * * [simplify]: iters left: 4 (23 enodes) 0.335 * * [simplify]: iters left: 3 (28 enodes) 0.342 * * [simplify]: Extracting #0: cost 1 inf + 0 0.342 * * [simplify]: Extracting #1: cost 5 inf + 0 0.342 * * [simplify]: Extracting #2: cost 10 inf + 0 0.342 * * [simplify]: Extracting #3: cost 11 inf + 1 0.343 * * [simplify]: Extracting #4: cost 6 inf + 228 0.343 * * [simplify]: Extracting #5: cost 1 inf + 896 0.343 * * [simplify]: Extracting #6: cost 0 inf + 1118 0.344 * [simplify]: Simplified to (- (log (+ 1 N)) (log N)) 0.344 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (log (+ 1 N)) (log N)))) 0.344 * * * * [progress]: [ 16 / 49 ] simplifiying candidate # 0.344 * [simplify]: Simplifying (- (log (+ N 1)) (log N)) 0.344 * * [simplify]: iters left: 5 (6 enodes) 0.347 * * [simplify]: iters left: 4 (23 enodes) 0.354 * * [simplify]: iters left: 3 (28 enodes) 0.362 * * [simplify]: Extracting #0: cost 1 inf + 0 0.362 * * [simplify]: Extracting #1: cost 5 inf + 0 0.362 * * [simplify]: Extracting #2: cost 10 inf + 0 0.362 * * [simplify]: Extracting #3: cost 11 inf + 1 0.362 * * [simplify]: Extracting #4: cost 6 inf + 228 0.363 * * [simplify]: Extracting #5: cost 1 inf + 896 0.363 * * [simplify]: Extracting #6: cost 0 inf + 1118 0.363 * [simplify]: Simplified to (- (log (+ 1 N)) (log N)) 0.363 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (log (+ 1 N)) (log N)))) 0.363 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.364 * [simplify]: Simplifying (log (cbrt N)) 0.364 * * [simplify]: iters left: 2 (3 enodes) 0.365 * * [simplify]: iters left: 1 (9 enodes) 0.367 * * [simplify]: Extracting #0: cost 1 inf + 0 0.367 * * [simplify]: Extracting #1: cost 3 inf + 0 0.367 * * [simplify]: Extracting #2: cost 5 inf + 0 0.367 * * [simplify]: Extracting #3: cost 4 inf + 1 0.367 * * [simplify]: Extracting #4: cost 0 inf + 465 0.367 * [simplify]: Simplified to (log (cbrt N)) 0.368 * [simplify]: Simplified (2 2) to (λ (N) (- (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))) (log (cbrt N)))) 0.368 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.368 * [simplify]: Simplifying (log (sqrt N)) 0.368 * * [simplify]: iters left: 2 (3 enodes) 0.369 * * [simplify]: iters left: 1 (9 enodes) 0.371 * * [simplify]: Extracting #0: cost 1 inf + 0 0.371 * * [simplify]: Extracting #1: cost 3 inf + 0 0.372 * * [simplify]: Extracting #2: cost 5 inf + 0 0.372 * * [simplify]: Extracting #3: cost 4 inf + 1 0.372 * * [simplify]: Extracting #4: cost 0 inf + 305 0.372 * [simplify]: Simplified to (log (sqrt N)) 0.372 * [simplify]: Simplified (2 2) to (λ (N) (- (- (log (+ N 1)) (log (sqrt N))) (log (sqrt N)))) 0.372 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.372 * [simplify]: Simplifying (log N) 0.372 * * [simplify]: iters left: 1 (2 enodes) 0.373 * * [simplify]: Extracting #0: cost 1 inf + 0 0.373 * * [simplify]: Extracting #1: cost 3 inf + 0 0.373 * * [simplify]: Extracting #2: cost 2 inf + 1 0.373 * * [simplify]: Extracting #3: cost 0 inf + 143 0.373 * [simplify]: Simplified to (log N) 0.373 * [simplify]: Simplified (2 2) to (λ (N) (- (- (log (+ N 1)) (log 1)) (log N))) 0.373 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.374 * [simplify]: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 0.374 * * [simplify]: iters left: 6 (6 enodes) 0.377 * * [simplify]: iters left: 5 (23 enodes) 0.384 * * [simplify]: iters left: 4 (27 enodes) 0.392 * * [simplify]: Extracting #0: cost 1 inf + 0 0.392 * * [simplify]: Extracting #1: cost 4 inf + 0 0.392 * * [simplify]: Extracting #2: cost 7 inf + 0 0.392 * * [simplify]: Extracting #3: cost 9 inf + 0 0.392 * * [simplify]: Extracting #4: cost 12 inf + 0 0.392 * * [simplify]: Extracting #5: cost 10 inf + 2 0.392 * * [simplify]: Extracting #6: cost 8 inf + 86 0.393 * * [simplify]: Extracting #7: cost 1 inf + 1270 0.393 * * [simplify]: Extracting #8: cost 0 inf + 1502 0.393 * [simplify]: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 0.393 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (- (log (cbrt (+ N 1))) (log N)))) 0.394 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.394 * [simplify]: Simplifying (log (sqrt (+ N 1))) 0.394 * * [simplify]: iters left: 4 (5 enodes) 0.397 * * [simplify]: iters left: 3 (18 enodes) 0.403 * * [simplify]: iters left: 2 (20 enodes) 0.408 * * [simplify]: Extracting #0: cost 1 inf + 0 0.408 * * [simplify]: Extracting #1: cost 3 inf + 0 0.408 * * [simplify]: Extracting #2: cost 5 inf + 0 0.408 * * [simplify]: Extracting #3: cost 8 inf + 0 0.409 * * [simplify]: Extracting #4: cost 6 inf + 2 0.409 * * [simplify]: Extracting #5: cost 0 inf + 554 0.409 * [simplify]: Simplified to (log (sqrt (+ 1 N))) 0.409 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (sqrt (+ 1 N))) (- (log (sqrt (+ N 1))) (log N)))) 0.409 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.409 * [simplify]: Simplifying (log 1) 0.409 * * [simplify]: iters left: 1 (2 enodes) 0.412 * * [simplify]: Extracting #0: cost 1 inf + 0 0.412 * * [simplify]: Extracting #1: cost 0 inf + 1 0.412 * [simplify]: Simplified to 0 0.412 * [simplify]: Simplified (2 1) to (λ (N) (+ 0 (- (log (+ N 1)) (log N)))) 0.412 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.412 * [simplify]: Simplifying (log 1) 0.412 * * [simplify]: iters left: 1 (2 enodes) 0.414 * * [simplify]: Extracting #0: cost 1 inf + 0 0.414 * * [simplify]: Extracting #1: cost 0 inf + 1 0.414 * [simplify]: Simplified to 0 0.414 * [simplify]: Simplified (2 1) to (λ (N) (+ 0 (- (log (+ N 1)) (log N)))) 0.414 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.415 * [simplify]: Simplifying (log (+ (pow N 3) (pow 1 3))) 0.415 * * [simplify]: iters left: 4 (7 enodes) 0.420 * * [simplify]: iters left: 3 (32 enodes) 0.433 * * [simplify]: iters left: 2 (50 enodes) 0.460 * * [simplify]: iters left: 1 (76 enodes) 0.485 * * [simplify]: Extracting #0: cost 1 inf + 0 0.485 * * [simplify]: Extracting #1: cost 3 inf + 0 0.485 * * [simplify]: Extracting #2: cost 6 inf + 0 0.485 * * [simplify]: Extracting #3: cost 13 inf + 1 0.485 * * [simplify]: Extracting #4: cost 19 inf + 3 0.485 * * [simplify]: Extracting #5: cost 11 inf + 1653 0.486 * * [simplify]: Extracting #6: cost 2 inf + 4395 0.487 * * [simplify]: Extracting #7: cost 0 inf + 4215 0.487 * [simplify]: Simplified to (log (+ 1 (* (* N N) N))) 0.487 * [simplify]: Simplified (2 1) to (λ (N) (- (log (+ 1 (* (* N N) N))) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)))) 0.488 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.488 * [simplify]: Simplifying (log (- (* N N) (* 1 1))) 0.488 * * [simplify]: iters left: 5 (6 enodes) 0.492 * * [simplify]: iters left: 4 (21 enodes) 0.498 * * [simplify]: iters left: 3 (28 enodes) 0.507 * * [simplify]: iters left: 2 (38 enodes) 0.518 * * [simplify]: iters left: 1 (59 enodes) 0.539 * * [simplify]: Extracting #0: cost 1 inf + 0 0.539 * * [simplify]: Extracting #1: cost 5 inf + 0 0.539 * * [simplify]: Extracting #2: cost 16 inf + 0 0.539 * * [simplify]: Extracting #3: cost 25 inf + 2 0.540 * * [simplify]: Extracting #4: cost 15 inf + 570 0.540 * * [simplify]: Extracting #5: cost 3 inf + 1563 0.541 * * [simplify]: Extracting #6: cost 0 inf + 1829 0.542 * [simplify]: Simplified to (log (+ -1 (* N N))) 0.542 * [simplify]: Simplified (2 1) to (λ (N) (- (log (+ -1 (* N N))) (+ (log (- N 1)) (log N)))) 0.542 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.542 * * * * [progress]: [ 27 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.543 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.543 * [simplify]: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 0.543 * * [simplify]: iters left: 6 (6 enodes) 0.546 * * [simplify]: iters left: 5 (23 enodes) 0.553 * * [simplify]: iters left: 4 (27 enodes) 0.561 * * [simplify]: Extracting #0: cost 1 inf + 0 0.561 * * [simplify]: Extracting #1: cost 4 inf + 0 0.561 * * [simplify]: Extracting #2: cost 7 inf + 0 0.561 * * [simplify]: Extracting #3: cost 9 inf + 0 0.561 * * [simplify]: Extracting #4: cost 12 inf + 0 0.561 * * [simplify]: Extracting #5: cost 10 inf + 2 0.561 * * [simplify]: Extracting #6: cost 8 inf + 86 0.562 * * [simplify]: Extracting #7: cost 1 inf + 1270 0.562 * * [simplify]: Extracting #8: cost 0 inf + 1502 0.562 * [simplify]: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 0.562 * [simplify]: Simplified (2 1 1) to (λ (N) (- (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ N 1)))) (log N))) 0.563 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.563 * [simplify]: Simplifying (log (sqrt (+ N 1))) 0.563 * * [simplify]: iters left: 4 (5 enodes) 0.566 * * [simplify]: iters left: 3 (18 enodes) 0.572 * * [simplify]: iters left: 2 (20 enodes) 0.577 * * [simplify]: Extracting #0: cost 1 inf + 0 0.577 * * [simplify]: Extracting #1: cost 3 inf + 0 0.578 * * [simplify]: Extracting #2: cost 5 inf + 0 0.578 * * [simplify]: Extracting #3: cost 8 inf + 0 0.578 * * [simplify]: Extracting #4: cost 6 inf + 2 0.578 * * [simplify]: Extracting #5: cost 0 inf + 554 0.578 * [simplify]: Simplified to (log (sqrt (+ 1 N))) 0.578 * [simplify]: Simplified (2 1 1) to (λ (N) (- (+ (log (sqrt (+ 1 N))) (log (sqrt (+ N 1)))) (log N))) 0.578 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.579 * [simplify]: Simplifying (log 1) 0.579 * * [simplify]: iters left: 1 (2 enodes) 0.582 * * [simplify]: Extracting #0: cost 1 inf + 0 0.582 * * [simplify]: Extracting #1: cost 0 inf + 1 0.582 * [simplify]: Simplified to 0 0.582 * [simplify]: Simplified (2 1 1) to (λ (N) (- (+ 0 (log (+ N 1))) (log N))) 0.582 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.582 * [simplify]: Simplifying (log 1) 0.582 * * [simplify]: iters left: 1 (2 enodes) 0.585 * * [simplify]: Extracting #0: cost 1 inf + 0 0.585 * * [simplify]: Extracting #1: cost 0 inf + 1 0.585 * [simplify]: Simplified to 0 0.585 * [simplify]: Simplified (2 1 1) to (λ (N) (- (+ 0 (log (+ N 1))) (log N))) 0.585 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.585 * [simplify]: Simplifying (log (+ (pow N 3) (pow 1 3))) 0.586 * * [simplify]: iters left: 4 (7 enodes) 0.591 * * [simplify]: iters left: 3 (32 enodes) 0.606 * * [simplify]: iters left: 2 (50 enodes) 0.624 * * [simplify]: iters left: 1 (76 enodes) 0.649 * * [simplify]: Extracting #0: cost 1 inf + 0 0.649 * * [simplify]: Extracting #1: cost 3 inf + 0 0.649 * * [simplify]: Extracting #2: cost 6 inf + 0 0.649 * * [simplify]: Extracting #3: cost 13 inf + 1 0.649 * * [simplify]: Extracting #4: cost 19 inf + 3 0.649 * * [simplify]: Extracting #5: cost 11 inf + 1653 0.650 * * [simplify]: Extracting #6: cost 2 inf + 4395 0.650 * * [simplify]: Extracting #7: cost 0 inf + 4215 0.651 * [simplify]: Simplified to (log (+ 1 (* (* N N) N))) 0.651 * [simplify]: Simplified (2 1 1) to (λ (N) (- (- (log (+ 1 (* (* N N) N))) (log (+ (* N N) (- (* 1 1) (* N 1))))) (log N))) 0.651 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.651 * [simplify]: Simplifying (log (- (* N N) (* 1 1))) 0.651 * * [simplify]: iters left: 5 (6 enodes) 0.655 * * [simplify]: iters left: 4 (21 enodes) 0.661 * * [simplify]: iters left: 3 (28 enodes) 0.670 * * [simplify]: iters left: 2 (38 enodes) 0.677 * * [simplify]: iters left: 1 (59 enodes) 0.687 * * [simplify]: Extracting #0: cost 1 inf + 0 0.687 * * [simplify]: Extracting #1: cost 5 inf + 0 0.687 * * [simplify]: Extracting #2: cost 16 inf + 0 0.687 * * [simplify]: Extracting #3: cost 25 inf + 2 0.687 * * [simplify]: Extracting #4: cost 15 inf + 570 0.688 * * [simplify]: Extracting #5: cost 3 inf + 1563 0.688 * * [simplify]: Extracting #6: cost 0 inf + 1829 0.689 * [simplify]: Simplified to (log (+ -1 (* N N))) 0.689 * [simplify]: Simplified (2 1 1) to (λ (N) (- (- (log (+ -1 (* N N))) (log (- N 1))) (log N))) 0.689 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.689 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.689 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.689 * [simplify]: Simplifying (+ N 1) 0.689 * * [simplify]: iters left: 2 (3 enodes) 0.690 * * [simplify]: iters left: 1 (12 enodes) 0.692 * * [simplify]: Extracting #0: cost 1 inf + 0 0.692 * * [simplify]: Extracting #1: cost 4 inf + 0 0.692 * * [simplify]: Extracting #2: cost 2 inf + 2 0.692 * * [simplify]: Extracting #3: cost 0 inf + 86 0.692 * [simplify]: Simplified to (+ 1 N) 0.692 * [simplify]: Simplified (2 1 1) to (λ (N) (- (log (+ 1 N)) (log N))) 0.692 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.692 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.692 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.693 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.693 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.693 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.693 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.693 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.693 * [simplify]: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 0.693 * * [simplify]: iters left: 6 (8 enodes) 0.695 * * [simplify]: iters left: 5 (35 enodes) 0.701 * * [simplify]: iters left: 4 (56 enodes) 0.717 * * [simplify]: iters left: 3 (95 enodes) 0.750 * * [simplify]: iters left: 2 (128 enodes) 0.775 * * [simplify]: iters left: 1 (162 enodes) 0.798 * * [simplify]: Extracting #0: cost 1 inf + 0 0.798 * * [simplify]: Extracting #1: cost 16 inf + 0 0.798 * * [simplify]: Extracting #2: cost 33 inf + 1 0.798 * * [simplify]: Extracting #3: cost 30 inf + 525 0.800 * * [simplify]: Extracting #4: cost 6 inf + 3093 0.802 * * [simplify]: Extracting #5: cost 0 inf + 4025 0.804 * * [simplify]: Extracting #6: cost 0 inf + 3985 0.806 * [simplify]: Simplified to (- N (+ (log N) (* N (* N 1/2)))) 0.806 * [simplify]: Simplified (2) to (λ (N) (- N (+ (log N) (* N (* N 1/2))))) 0.806 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.807 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.807 * * [simplify]: iters left: 6 (15 enodes) 0.813 * * [simplify]: iters left: 5 (68 enodes) 0.828 * * [simplify]: iters left: 4 (114 enodes) 0.852 * * [simplify]: iters left: 3 (170 enodes) 0.881 * * [simplify]: iters left: 2 (278 enodes) 0.969 * * [simplify]: Extracting #0: cost 1 inf + 0 0.969 * * [simplify]: Extracting #1: cost 11 inf + 0 0.969 * * [simplify]: Extracting #2: cost 69 inf + 0 0.970 * * [simplify]: Extracting #3: cost 110 inf + 741 0.972 * * [simplify]: Extracting #4: cost 88 inf + 3078 0.976 * * [simplify]: Extracting #5: cost 40 inf + 17981 0.981 * * [simplify]: Extracting #6: cost 6 inf + 30433 0.985 * * [simplify]: Extracting #7: cost 0 inf + 32845 0.988 * * [simplify]: Extracting #8: cost 0 inf + 32765 0.992 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 0.992 * [simplify]: Simplified (2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 0.992 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.992 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.992 * * [simplify]: iters left: 6 (15 enodes) 0.998 * * [simplify]: iters left: 5 (68 enodes) 1.011 * * [simplify]: iters left: 4 (114 enodes) 1.032 * * [simplify]: iters left: 3 (170 enodes) 1.077 * * [simplify]: iters left: 2 (278 enodes) 1.137 * * [simplify]: Extracting #0: cost 1 inf + 0 1.137 * * [simplify]: Extracting #1: cost 11 inf + 0 1.137 * * [simplify]: Extracting #2: cost 69 inf + 0 1.138 * * [simplify]: Extracting #3: cost 110 inf + 741 1.139 * * [simplify]: Extracting #4: cost 88 inf + 3078 1.141 * * [simplify]: Extracting #5: cost 40 inf + 17981 1.144 * * [simplify]: Extracting #6: cost 6 inf + 30433 1.147 * * [simplify]: Extracting #7: cost 0 inf + 32845 1.151 * * [simplify]: Extracting #8: cost 0 inf + 32765 1.154 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 1.154 * [simplify]: Simplified (2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 1.154 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 1.154 * [simplify]: Simplifying (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1.154 * * [simplify]: iters left: 6 (11 enodes) 1.158 * * [simplify]: iters left: 5 (51 enodes) 1.169 * * [simplify]: iters left: 4 (104 enodes) 1.190 * * [simplify]: iters left: 3 (193 enodes) 1.224 * * [simplify]: iters left: 2 (303 enodes) 1.290 * * [simplify]: Extracting #0: cost 1 inf + 0 1.290 * * [simplify]: Extracting #1: cost 14 inf + 0 1.290 * * [simplify]: Extracting #2: cost 58 inf + 42 1.291 * * [simplify]: Extracting #3: cost 103 inf + 495 1.293 * * [simplify]: Extracting #4: cost 68 inf + 4250 1.297 * * [simplify]: Extracting #5: cost 24 inf + 18384 1.300 * * [simplify]: Extracting #6: cost 0 inf + 30897 1.304 * * [simplify]: Extracting #7: cost 0 inf + 30777 1.308 * [simplify]: Simplified to (+ (* N (* N (+ -1/2 (* N 1/3)))) N) 1.308 * [simplify]: Simplified (2 1) to (λ (N) (- (+ (* N (* N (+ -1/2 (* N 1/3)))) N) (log N))) 1.308 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 1.308 * [simplify]: Simplifying (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 1.308 * * [simplify]: iters left: 6 (11 enodes) 1.313 * * [simplify]: iters left: 5 (51 enodes) 1.321 * * [simplify]: iters left: 4 (72 enodes) 1.340 * * [simplify]: iters left: 3 (103 enodes) 1.358 * * [simplify]: iters left: 2 (138 enodes) 1.383 * * [simplify]: iters left: 1 (194 enodes) 1.431 * * [simplify]: Extracting #0: cost 1 inf + 0 1.431 * * [simplify]: Extracting #1: cost 27 inf + 0 1.431 * * [simplify]: Extracting #2: cost 66 inf + 1 1.431 * * [simplify]: Extracting #3: cost 68 inf + 6 1.432 * * [simplify]: Extracting #4: cost 35 inf + 2821 1.435 * * [simplify]: Extracting #5: cost 5 inf + 7314 1.440 * * [simplify]: Extracting #6: cost 0 inf + 8328 1.447 * [simplify]: Simplified to (+ (/ 1 N) (- (log N) (/ 1/2 (* N N)))) 1.447 * [simplify]: Simplified (2 1) to (λ (N) (- (+ (/ 1 N) (- (log N) (/ 1/2 (* N N)))) (log N))) 1.447 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 1.447 * [simplify]: Simplifying (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 1.447 * * [simplify]: iters left: 6 (15 enodes) 1.457 * * [simplify]: iters left: 5 (64 enodes) 1.479 * * [simplify]: iters left: 4 (108 enodes) 1.518 * * [simplify]: iters left: 3 (221 enodes) 1.619 * * [simplify]: iters left: 2 (449 enodes) 1.780 * * [simplify]: Extracting #0: cost 1 inf + 0 1.780 * * [simplify]: Extracting #1: cost 103 inf + 0 1.780 * * [simplify]: Extracting #2: cost 257 inf + 1 1.782 * * [simplify]: Extracting #3: cost 216 inf + 8293 1.791 * * [simplify]: Extracting #4: cost 27 inf + 48808 1.806 * * [simplify]: Extracting #5: cost 0 inf + 56449 1.828 * [simplify]: Simplified to (+ (/ (/ -1/2 N) N) (+ (/ 1 N) (log N))) 1.828 * [simplify]: Simplified (2 1) to (λ (N) (- (+ (/ (/ -1/2 N) N) (+ (/ 1 N) (log N))) (log N))) 1.828 * * * [progress]: adding candidates to table 2.241 * * [progress]: iteration 2 / 4 2.241 * * * [progress]: picking best candidate 2.253 * * * * [pick]: Picked # 2.253 * * * [progress]: localizing error 2.261 * * * [progress]: generating rewritten candidates 2.261 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.266 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.294 * * * [progress]: generating series expansions 2.294 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.294 * [backup-simplify]: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 2.294 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 2.294 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.294 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.294 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.294 * [taylor]: Taking taylor expansion of N in N 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 1 into 1 2.294 * [taylor]: Taking taylor expansion of 1 in N 2.294 * [backup-simplify]: Simplify 1 into 1 2.294 * [taylor]: Taking taylor expansion of N in N 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 1 into 1 2.295 * [backup-simplify]: Simplify (+ 0 1) into 1 2.296 * [backup-simplify]: Simplify (/ 1 1) into 1 2.296 * [backup-simplify]: Simplify (log 1) into 0 2.296 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.296 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.296 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.296 * [taylor]: Taking taylor expansion of N in N 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [taylor]: Taking taylor expansion of 1 in N 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [taylor]: Taking taylor expansion of N in N 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.297 * [backup-simplify]: Simplify (+ 0 1) into 1 2.297 * [backup-simplify]: Simplify (/ 1 1) into 1 2.298 * [backup-simplify]: Simplify (log 1) into 0 2.299 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.299 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.299 * [backup-simplify]: Simplify (+ 1 0) into 1 2.300 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.301 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.301 * [backup-simplify]: Simplify 1 into 1 2.302 * [backup-simplify]: Simplify (+ 0 0) into 0 2.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.306 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.306 * [backup-simplify]: Simplify -1/2 into -1/2 2.306 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 2.307 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 2.307 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 2.307 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.307 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.307 * [taylor]: Taking taylor expansion of N in N 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify 1 into 1 2.307 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.307 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.307 * [taylor]: Taking taylor expansion of N in N 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify 1 into 1 2.308 * [backup-simplify]: Simplify (/ 1 1) into 1 2.308 * [taylor]: Taking taylor expansion of 1 in N 2.308 * [backup-simplify]: Simplify 1 into 1 2.312 * [backup-simplify]: Simplify (+ 1 0) into 1 2.313 * [backup-simplify]: Simplify (* 0 1) into 0 2.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.314 * [backup-simplify]: Simplify (+ 0 1) into 1 2.315 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.315 * [backup-simplify]: Simplify (log 1) into 0 2.315 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.315 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.315 * [taylor]: Taking taylor expansion of N in N 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 1 into 1 2.315 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.315 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.315 * [taylor]: Taking taylor expansion of N in N 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 1 into 1 2.316 * [backup-simplify]: Simplify (/ 1 1) into 1 2.316 * [taylor]: Taking taylor expansion of 1 in N 2.316 * [backup-simplify]: Simplify 1 into 1 2.316 * [backup-simplify]: Simplify (+ 1 0) into 1 2.317 * [backup-simplify]: Simplify (* 0 1) into 0 2.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (+ 0 1) into 1 2.319 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.319 * [backup-simplify]: Simplify (log 1) into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.320 * [backup-simplify]: Simplify (+ 0 0) into 0 2.321 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.323 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.323 * [backup-simplify]: Simplify 1 into 1 2.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.324 * [backup-simplify]: Simplify (+ 0 0) into 0 2.325 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.328 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.328 * [backup-simplify]: Simplify -1/2 into -1/2 2.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.330 * [backup-simplify]: Simplify (+ 0 0) into 0 2.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.336 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 2.336 * [backup-simplify]: Simplify 1/3 into 1/3 2.336 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.336 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 2.336 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 2.336 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.336 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.337 * [taylor]: Taking taylor expansion of -1 in N 2.337 * [backup-simplify]: Simplify -1 into -1 2.337 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.337 * [taylor]: Taking taylor expansion of N in N 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 1 into 1 2.337 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.337 * [taylor]: Taking taylor expansion of 1 in N 2.337 * [backup-simplify]: Simplify 1 into 1 2.337 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.337 * [taylor]: Taking taylor expansion of N in N 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 1 into 1 2.337 * [backup-simplify]: Simplify (/ 1 1) into 1 2.338 * [backup-simplify]: Simplify (- 1) into -1 2.338 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.338 * [backup-simplify]: Simplify (* 0 -1) into 0 2.339 * [backup-simplify]: Simplify (* -1 0) into 0 2.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.340 * [backup-simplify]: Simplify (- 0) into 0 2.340 * [backup-simplify]: Simplify (+ 1 0) into 1 2.341 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.341 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.342 * [backup-simplify]: Simplify (log 1) into 0 2.342 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.342 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.342 * [taylor]: Taking taylor expansion of -1 in N 2.342 * [backup-simplify]: Simplify -1 into -1 2.342 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.342 * [taylor]: Taking taylor expansion of N in N 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 1 into 1 2.342 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.342 * [taylor]: Taking taylor expansion of 1 in N 2.342 * [backup-simplify]: Simplify 1 into 1 2.342 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.342 * [taylor]: Taking taylor expansion of N in N 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 1 into 1 2.343 * [backup-simplify]: Simplify (/ 1 1) into 1 2.343 * [backup-simplify]: Simplify (- 1) into -1 2.343 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.344 * [backup-simplify]: Simplify (* 0 -1) into 0 2.344 * [backup-simplify]: Simplify (* -1 0) into 0 2.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.345 * [backup-simplify]: Simplify (- 0) into 0 2.346 * [backup-simplify]: Simplify (+ 1 0) into 1 2.346 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.347 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.347 * [backup-simplify]: Simplify (log 1) into 0 2.347 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.349 * [backup-simplify]: Simplify (- 0) into 0 2.349 * [backup-simplify]: Simplify (+ 0 0) into 0 2.350 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.351 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 2.352 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.352 * [backup-simplify]: Simplify -1 into -1 2.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.354 * [backup-simplify]: Simplify (- 0) into 0 2.354 * [backup-simplify]: Simplify (+ 0 0) into 0 2.355 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.356 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 2.359 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.359 * [backup-simplify]: Simplify -1/2 into -1/2 2.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.361 * [backup-simplify]: Simplify (- 0) into 0 2.361 * [backup-simplify]: Simplify (+ 0 0) into 0 2.363 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.364 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 2.369 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 2.369 * [backup-simplify]: Simplify -1/3 into -1/3 2.370 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.370 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.370 * [backup-simplify]: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 2.370 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 2.370 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.370 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.370 * [taylor]: Taking taylor expansion of N in N 2.370 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify 1 into 1 2.370 * [taylor]: Taking taylor expansion of 1 in N 2.370 * [backup-simplify]: Simplify 1 into 1 2.370 * [taylor]: Taking taylor expansion of N in N 2.370 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify 1 into 1 2.371 * [backup-simplify]: Simplify (+ 0 1) into 1 2.371 * [backup-simplify]: Simplify (/ 1 1) into 1 2.371 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.371 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.371 * [taylor]: Taking taylor expansion of N in N 2.371 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify 1 into 1 2.371 * [taylor]: Taking taylor expansion of 1 in N 2.371 * [backup-simplify]: Simplify 1 into 1 2.372 * [taylor]: Taking taylor expansion of N in N 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 1 into 1 2.372 * [backup-simplify]: Simplify (+ 0 1) into 1 2.372 * [backup-simplify]: Simplify (/ 1 1) into 1 2.373 * [backup-simplify]: Simplify 1 into 1 2.373 * [backup-simplify]: Simplify (+ 1 0) into 1 2.374 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.374 * [backup-simplify]: Simplify 1 into 1 2.374 * [backup-simplify]: Simplify (+ 0 0) into 0 2.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify (+ 0 0) into 0 2.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.376 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify (+ 0 0) into 0 2.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify (+ 0 0) into 0 2.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 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 2.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.380 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify (+ 0 0) into 0 2.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.382 * [backup-simplify]: Simplify 0 into 0 2.382 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 2.382 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 2.382 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 2.382 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.382 * [taylor]: Taking taylor expansion of N in N 2.382 * [backup-simplify]: Simplify 0 into 0 2.382 * [backup-simplify]: Simplify 1 into 1 2.382 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.382 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.382 * [taylor]: Taking taylor expansion of N in N 2.382 * [backup-simplify]: Simplify 0 into 0 2.382 * [backup-simplify]: Simplify 1 into 1 2.383 * [backup-simplify]: Simplify (/ 1 1) into 1 2.383 * [taylor]: Taking taylor expansion of 1 in N 2.383 * [backup-simplify]: Simplify 1 into 1 2.383 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.383 * [taylor]: Taking taylor expansion of N in N 2.383 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify 1 into 1 2.383 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.383 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.383 * [taylor]: Taking taylor expansion of N in N 2.383 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify 1 into 1 2.383 * [backup-simplify]: Simplify (/ 1 1) into 1 2.383 * [taylor]: Taking taylor expansion of 1 in N 2.383 * [backup-simplify]: Simplify 1 into 1 2.384 * [backup-simplify]: Simplify (+ 1 0) into 1 2.384 * [backup-simplify]: Simplify (* 0 1) into 0 2.384 * [backup-simplify]: Simplify 0 into 0 2.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.386 * [backup-simplify]: Simplify (+ 0 1) into 1 2.386 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.386 * [backup-simplify]: Simplify 1 into 1 2.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.387 * [backup-simplify]: Simplify (+ 0 0) into 0 2.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.388 * [backup-simplify]: Simplify 1 into 1 2.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.390 * [backup-simplify]: Simplify (+ 0 0) into 0 2.391 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.391 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.392 * [backup-simplify]: Simplify (+ 0 0) into 0 2.393 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.393 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.394 * [backup-simplify]: Simplify (+ 0 0) into 0 2.396 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 2.396 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.397 * [backup-simplify]: Simplify (+ 0 0) into 0 2.399 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 2.399 * [backup-simplify]: Simplify 0 into 0 2.400 * [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 2.400 * [backup-simplify]: Simplify (+ 0 0) into 0 2.402 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 2.402 * [backup-simplify]: Simplify 0 into 0 2.403 * [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 2.404 * [backup-simplify]: Simplify (+ 0 0) into 0 2.406 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 2.406 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 2.406 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 2.406 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.406 * [taylor]: Taking taylor expansion of -1 in N 2.406 * [backup-simplify]: Simplify -1 into -1 2.406 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.406 * [taylor]: Taking taylor expansion of N in N 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify 1 into 1 2.406 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.406 * [taylor]: Taking taylor expansion of 1 in N 2.406 * [backup-simplify]: Simplify 1 into 1 2.406 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.406 * [taylor]: Taking taylor expansion of N in N 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify 1 into 1 2.407 * [backup-simplify]: Simplify (/ 1 1) into 1 2.407 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.407 * [taylor]: Taking taylor expansion of -1 in N 2.407 * [backup-simplify]: Simplify -1 into -1 2.407 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.407 * [taylor]: Taking taylor expansion of N in N 2.407 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify 1 into 1 2.407 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.407 * [taylor]: Taking taylor expansion of 1 in N 2.407 * [backup-simplify]: Simplify 1 into 1 2.407 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.407 * [taylor]: Taking taylor expansion of N in N 2.407 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify 1 into 1 2.407 * [backup-simplify]: Simplify (/ 1 1) into 1 2.408 * [backup-simplify]: Simplify (- 1) into -1 2.409 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.409 * [backup-simplify]: Simplify (* 0 -1) into 0 2.409 * [backup-simplify]: Simplify (* -1 0) into 0 2.409 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.411 * [backup-simplify]: Simplify (- 0) into 0 2.411 * [backup-simplify]: Simplify (+ 1 0) into 1 2.412 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.412 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.412 * [backup-simplify]: Simplify 1 into 1 2.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.414 * [backup-simplify]: Simplify (- 0) into 0 2.414 * [backup-simplify]: Simplify (+ 0 0) into 0 2.415 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.416 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 2.416 * [backup-simplify]: Simplify -1 into -1 2.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.417 * [backup-simplify]: Simplify (- 0) into 0 2.418 * [backup-simplify]: Simplify (+ 0 0) into 0 2.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.420 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 2.420 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.423 * [backup-simplify]: Simplify (- 0) into 0 2.423 * [backup-simplify]: Simplify (+ 0 0) into 0 2.425 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.426 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 2.427 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.428 * [backup-simplify]: Simplify (- 0) into 0 2.429 * [backup-simplify]: Simplify (+ 0 0) into 0 2.430 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 2.432 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 2.432 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.434 * [backup-simplify]: Simplify (- 0) into 0 2.434 * [backup-simplify]: Simplify (+ 0 0) into 0 2.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 2.438 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 2.438 * [backup-simplify]: Simplify 0 into 0 2.439 * [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 2.439 * [backup-simplify]: Simplify (- 0) into 0 2.440 * [backup-simplify]: Simplify (+ 0 0) into 0 2.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 2.444 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 2.444 * [backup-simplify]: Simplify 0 into 0 2.445 * [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 2.445 * [backup-simplify]: Simplify (- 0) into 0 2.446 * [backup-simplify]: Simplify (+ 0 0) into 0 2.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 2.450 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 2.450 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 2.451 * * * [progress]: simplifying candidates 2.451 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 2.451 * [simplify]: Simplifying (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 2.451 * * [simplify]: iters left: 6 (7 enodes) 2.455 * * [simplify]: iters left: 5 (26 enodes) 2.467 * * [simplify]: iters left: 4 (30 enodes) 2.475 * * [simplify]: Extracting #0: cost 1 inf + 0 2.475 * * [simplify]: Extracting #1: cost 4 inf + 0 2.475 * * [simplify]: Extracting #2: cost 7 inf + 0 2.475 * * [simplify]: Extracting #3: cost 9 inf + 0 2.476 * * [simplify]: Extracting #4: cost 12 inf + 0 2.476 * * [simplify]: Extracting #5: cost 13 inf + 1 2.476 * * [simplify]: Extracting #6: cost 12 inf + 2 2.476 * * [simplify]: Extracting #7: cost 8 inf + 250 2.476 * * [simplify]: Extracting #8: cost 4 inf + 1078 2.477 * * [simplify]: Extracting #9: cost 1 inf + 1714 2.477 * * [simplify]: Extracting #10: cost 0 inf + 1986 2.478 * [simplify]: Simplified to (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 2.478 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ N 1) N))))) 2.478 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 2.478 * [simplify]: Simplifying (log (sqrt (/ (+ N 1) N))) 2.478 * * [simplify]: iters left: 6 (6 enodes) 2.481 * * [simplify]: iters left: 5 (21 enodes) 2.485 * * [simplify]: iters left: 4 (23 enodes) 2.489 * * [simplify]: Extracting #0: cost 1 inf + 0 2.489 * * [simplify]: Extracting #1: cost 3 inf + 0 2.489 * * [simplify]: Extracting #2: cost 5 inf + 0 2.489 * * [simplify]: Extracting #3: cost 8 inf + 0 2.489 * * [simplify]: Extracting #4: cost 9 inf + 1 2.489 * * [simplify]: Extracting #5: cost 8 inf + 2 2.489 * * [simplify]: Extracting #6: cost 0 inf + 878 2.489 * [simplify]: Simplified to (log (sqrt (/ (+ 1 N) N))) 2.489 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) 2.489 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 2.489 * [simplify]: Simplifying (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) 2.489 * * [simplify]: iters left: 6 (9 enodes) 2.492 * * [simplify]: iters left: 5 (39 enodes) 2.498 * * [simplify]: iters left: 4 (72 enodes) 2.509 * * [simplify]: iters left: 3 (110 enodes) 2.537 * * [simplify]: iters left: 2 (143 enodes) 2.578 * * [simplify]: iters left: 1 (186 enodes) 2.612 * * [simplify]: Extracting #0: cost 1 inf + 0 2.613 * * [simplify]: Extracting #1: cost 20 inf + 0 2.613 * * [simplify]: Extracting #2: cost 44 inf + 0 2.613 * * [simplify]: Extracting #3: cost 55 inf + 0 2.613 * * [simplify]: Extracting #4: cost 56 inf + 1 2.613 * * [simplify]: Extracting #5: cost 47 inf + 1170 2.614 * * [simplify]: Extracting #6: cost 20 inf + 7579 2.616 * * [simplify]: Extracting #7: cost 4 inf + 12291 2.619 * * [simplify]: Extracting #8: cost 0 inf + 13689 2.621 * [simplify]: Simplified to (log (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N)))) 2.621 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))))) 2.621 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 2.622 * [simplify]: Simplifying (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) 2.622 * * [simplify]: iters left: 6 (8 enodes) 2.624 * * [simplify]: iters left: 5 (32 enodes) 2.630 * * [simplify]: iters left: 4 (48 enodes) 2.637 * * [simplify]: iters left: 3 (65 enodes) 2.647 * * [simplify]: iters left: 2 (74 enodes) 2.661 * * [simplify]: iters left: 1 (83 enodes) 2.673 * * [simplify]: Extracting #0: cost 1 inf + 0 2.673 * * [simplify]: Extracting #1: cost 11 inf + 0 2.673 * * [simplify]: Extracting #2: cost 24 inf + 0 2.673 * * [simplify]: Extracting #3: cost 31 inf + 0 2.674 * * [simplify]: Extracting #4: cost 30 inf + 153 2.674 * * [simplify]: Extracting #5: cost 25 inf + 608 2.674 * * [simplify]: Extracting #6: cost 16 inf + 1996 2.675 * * [simplify]: Extracting #7: cost 3 inf + 5022 2.676 * * [simplify]: Extracting #8: cost 0 inf + 5848 2.676 * [simplify]: Simplified to (log (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N)))) 2.677 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N)))) (log (/ (cbrt (+ N 1)) (sqrt N))))) 2.677 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 2.677 * [simplify]: Simplifying (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) 2.677 * * [simplify]: iters left: 6 (7 enodes) 2.679 * * [simplify]: iters left: 5 (27 enodes) 2.684 * * [simplify]: iters left: 4 (41 enodes) 2.689 * * [simplify]: iters left: 3 (52 enodes) 2.696 * * [simplify]: iters left: 2 (61 enodes) 2.704 * * [simplify]: iters left: 1 (68 enodes) 2.711 * * [simplify]: Extracting #0: cost 1 inf + 0 2.711 * * [simplify]: Extracting #1: cost 7 inf + 0 2.711 * * [simplify]: Extracting #2: cost 12 inf + 1 2.712 * * [simplify]: Extracting #3: cost 14 inf + 2 2.712 * * [simplify]: Extracting #4: cost 16 inf + 2 2.712 * * [simplify]: Extracting #5: cost 15 inf + 3 2.712 * * [simplify]: Extracting #6: cost 11 inf + 371 2.712 * * [simplify]: Extracting #7: cost 2 inf + 2059 2.713 * * [simplify]: Extracting #8: cost 0 inf + 2563 2.714 * [simplify]: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 2.714 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (/ (cbrt (+ N 1)) N)))) 2.714 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 2.715 * [simplify]: Simplifying (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) 2.715 * * [simplify]: iters left: 6 (8 enodes) 2.719 * * [simplify]: iters left: 5 (32 enodes) 2.728 * * [simplify]: iters left: 4 (46 enodes) 2.741 * * [simplify]: iters left: 3 (56 enodes) 2.756 * * [simplify]: iters left: 2 (64 enodes) 2.768 * * [simplify]: iters left: 1 (72 enodes) 2.778 * * [simplify]: Extracting #0: cost 1 inf + 0 2.778 * * [simplify]: Extracting #1: cost 13 inf + 0 2.778 * * [simplify]: Extracting #2: cost 28 inf + 0 2.778 * * [simplify]: Extracting #3: cost 34 inf + 0 2.778 * * [simplify]: Extracting #4: cost 30 inf + 626 2.778 * * [simplify]: Extracting #5: cost 24 inf + 1512 2.779 * * [simplify]: Extracting #6: cost 12 inf + 3500 2.780 * * [simplify]: Extracting #7: cost 2 inf + 6210 2.781 * * [simplify]: Extracting #8: cost 0 inf + 6764 2.781 * [simplify]: Simplified to (log (/ (/ (sqrt (+ 1 N)) (cbrt N)) (cbrt N))) 2.782 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (/ (/ (sqrt (+ 1 N)) (cbrt N)) (cbrt N))) (log (/ (sqrt (+ N 1)) (cbrt N))))) 2.782 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 2.782 * [simplify]: Simplifying (log (/ (sqrt (+ N 1)) (sqrt N))) 2.782 * * [simplify]: iters left: 6 (7 enodes) 2.784 * * [simplify]: iters left: 5 (27 enodes) 2.788 * * [simplify]: iters left: 4 (35 enodes) 2.794 * * [simplify]: iters left: 3 (38 enodes) 2.800 * * [simplify]: Extracting #0: cost 1 inf + 0 2.800 * * [simplify]: Extracting #1: cost 6 inf + 0 2.800 * * [simplify]: Extracting #2: cost 12 inf + 0 2.800 * * [simplify]: Extracting #3: cost 16 inf + 0 2.800 * * [simplify]: Extracting #4: cost 17 inf + 1 2.800 * * [simplify]: Extracting #5: cost 10 inf + 608 2.800 * * [simplify]: Extracting #6: cost 7 inf + 774 2.801 * * [simplify]: Extracting #7: cost 4 inf + 1170 2.801 * * [simplify]: Extracting #8: cost 0 inf + 1948 2.802 * [simplify]: Simplified to (log (/ (sqrt (+ 1 N)) (sqrt N))) 2.802 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))))) 2.802 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 2.802 * [simplify]: Simplifying (log (/ (sqrt (+ N 1)) 1)) 2.802 * * [simplify]: iters left: 6 (6 enodes) 2.806 * * [simplify]: iters left: 5 (22 enodes) 2.812 * * [simplify]: iters left: 4 (26 enodes) 2.818 * * [simplify]: Extracting #0: cost 1 inf + 0 2.818 * * [simplify]: Extracting #1: cost 4 inf + 0 2.818 * * [simplify]: Extracting #2: cost 6 inf + 1 2.818 * * [simplify]: Extracting #3: cost 7 inf + 2 2.818 * * [simplify]: Extracting #4: cost 6 inf + 3 2.818 * * [simplify]: Extracting #5: cost 1 inf + 403 2.819 * * [simplify]: Extracting #6: cost 0 inf + 555 2.819 * [simplify]: Simplified to (log (sqrt (+ 1 N))) 2.819 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ N 1)) N)))) 2.819 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 2.819 * [simplify]: Simplifying (log (/ 1 (* (cbrt N) (cbrt N)))) 2.819 * * [simplify]: iters left: 6 (6 enodes) 2.824 * * [simplify]: iters left: 5 (26 enodes) 2.832 * * [simplify]: iters left: 4 (36 enodes) 2.842 * * [simplify]: iters left: 3 (43 enodes) 2.854 * * [simplify]: iters left: 2 (49 enodes) 2.869 * * [simplify]: iters left: 1 (64 enodes) 2.886 * * [simplify]: Extracting #0: cost 1 inf + 0 2.886 * * [simplify]: Extracting #1: cost 7 inf + 0 2.886 * * [simplify]: Extracting #2: cost 14 inf + 1 2.886 * * [simplify]: Extracting #3: cost 17 inf + 2 2.886 * * [simplify]: Extracting #4: cost 16 inf + 3 2.886 * * [simplify]: Extracting #5: cost 8 inf + 1092 2.887 * * [simplify]: Extracting #6: cost 0 inf + 2503 2.888 * [simplify]: Simplified to (+ (- (log (cbrt N))) (- (log (cbrt N)))) 2.888 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ N 1) (cbrt N))))) 2.888 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 2.888 * [simplify]: Simplifying (log (/ 1 (sqrt N))) 2.890 * * [simplify]: iters left: 4 (5 enodes) 2.893 * * [simplify]: iters left: 3 (21 enodes) 2.898 * * [simplify]: iters left: 2 (25 enodes) 2.905 * * [simplify]: Extracting #0: cost 1 inf + 0 2.905 * * [simplify]: Extracting #1: cost 5 inf + 0 2.905 * * [simplify]: Extracting #2: cost 8 inf + 1 2.905 * * [simplify]: Extracting #3: cost 9 inf + 2 2.905 * * [simplify]: Extracting #4: cost 8 inf + 3 2.905 * * [simplify]: Extracting #5: cost 2 inf + 512 2.905 * * [simplify]: Extracting #6: cost 0 inf + 774 2.906 * * [simplify]: Extracting #7: cost 0 inf + 773 2.906 * [simplify]: Simplified to (- (log (sqrt N))) 2.906 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))))) 2.906 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 2.906 * [simplify]: Simplifying (log (/ 1 1)) 2.907 * * [simplify]: iters left: 3 (3 enodes) 2.910 * * [simplify]: iters left: 2 (12 enodes) 2.913 * * [simplify]: Extracting #0: cost 1 inf + 0 2.913 * * [simplify]: Extracting #1: cost 0 inf + 1 2.913 * [simplify]: Simplified to 0 2.913 * [simplify]: Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ N 1) N)))) 2.913 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 2.913 * [simplify]: Simplifying (log (/ 1 (* (cbrt N) (cbrt N)))) 2.913 * * [simplify]: iters left: 6 (6 enodes) 2.916 * * [simplify]: iters left: 5 (26 enodes) 2.924 * * [simplify]: iters left: 4 (36 enodes) 2.934 * * [simplify]: iters left: 3 (43 enodes) 2.946 * * [simplify]: iters left: 2 (49 enodes) 2.961 * * [simplify]: iters left: 1 (64 enodes) 2.979 * * [simplify]: Extracting #0: cost 1 inf + 0 2.979 * * [simplify]: Extracting #1: cost 7 inf + 0 2.979 * * [simplify]: Extracting #2: cost 14 inf + 1 2.979 * * [simplify]: Extracting #3: cost 17 inf + 2 2.979 * * [simplify]: Extracting #4: cost 16 inf + 3 2.979 * * [simplify]: Extracting #5: cost 8 inf + 1092 2.980 * * [simplify]: Extracting #6: cost 0 inf + 2503 2.981 * [simplify]: Simplified to (+ (- (log (cbrt N))) (- (log (cbrt N)))) 2.981 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ N 1) (cbrt N))))) 2.981 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 2.981 * [simplify]: Simplifying (log (/ 1 (sqrt N))) 2.981 * * [simplify]: iters left: 4 (5 enodes) 2.985 * * [simplify]: iters left: 3 (21 enodes) 2.990 * * [simplify]: iters left: 2 (25 enodes) 2.997 * * [simplify]: Extracting #0: cost 1 inf + 0 2.997 * * [simplify]: Extracting #1: cost 5 inf + 0 2.997 * * [simplify]: Extracting #2: cost 8 inf + 1 2.997 * * [simplify]: Extracting #3: cost 9 inf + 2 2.997 * * [simplify]: Extracting #4: cost 8 inf + 3 2.997 * * [simplify]: Extracting #5: cost 2 inf + 512 2.998 * * [simplify]: Extracting #6: cost 0 inf + 774 2.998 * * [simplify]: Extracting #7: cost 0 inf + 773 2.998 * [simplify]: Simplified to (- (log (sqrt N))) 2.998 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))))) 2.998 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 2.999 * [simplify]: Simplifying (log (/ 1 1)) 2.999 * * [simplify]: iters left: 3 (3 enodes) 3.003 * * [simplify]: iters left: 2 (12 enodes) 3.005 * * [simplify]: Extracting #0: cost 1 inf + 0 3.005 * * [simplify]: Extracting #1: cost 0 inf + 1 3.005 * [simplify]: Simplified to 0 3.005 * [simplify]: Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ N 1) N)))) 3.005 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 3.006 * [simplify]: Simplifying (log 1) 3.006 * * [simplify]: iters left: 1 (2 enodes) 3.008 * * [simplify]: Extracting #0: cost 1 inf + 0 3.008 * * [simplify]: Extracting #1: cost 0 inf + 1 3.008 * [simplify]: Simplified to 0 3.008 * [simplify]: Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ N 1) N)))) 3.009 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 3.009 * [simplify]: Simplifying (log (+ N 1)) 3.009 * * [simplify]: iters left: 3 (4 enodes) 3.011 * * [simplify]: iters left: 2 (15 enodes) 3.016 * * [simplify]: iters left: 1 (17 enodes) 3.021 * * [simplify]: Extracting #0: cost 1 inf + 0 3.021 * * [simplify]: Extracting #1: cost 3 inf + 0 3.021 * * [simplify]: Extracting #2: cost 6 inf + 0 3.021 * * [simplify]: Extracting #3: cost 4 inf + 2 3.021 * * [simplify]: Extracting #4: cost 0 inf + 310 3.021 * [simplify]: Simplified to (log (+ 1 N)) 3.021 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (+ 1 N)) (log (/ 1 N)))) 3.021 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 3.021 * [simplify]: Simplifying (log (+ N 1)) 3.021 * * [simplify]: iters left: 3 (4 enodes) 3.024 * * [simplify]: iters left: 2 (15 enodes) 3.028 * * [simplify]: iters left: 1 (17 enodes) 3.033 * * [simplify]: Extracting #0: cost 1 inf + 0 3.033 * * [simplify]: Extracting #1: cost 3 inf + 0 3.033 * * [simplify]: Extracting #2: cost 6 inf + 0 3.033 * * [simplify]: Extracting #3: cost 4 inf + 2 3.033 * * [simplify]: Extracting #4: cost 0 inf + 310 3.033 * [simplify]: Simplified to (log (+ 1 N)) 3.033 * [simplify]: Simplified (2 1) to (λ (N) (- (log (+ 1 N)) (log N))) 3.033 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 3.033 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 3.034 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 3.034 * [simplify]: Simplifying (log (+ N 1)) 3.034 * * [simplify]: iters left: 3 (4 enodes) 3.036 * * [simplify]: iters left: 2 (15 enodes) 3.040 * * [simplify]: iters left: 1 (17 enodes) 3.047 * * [simplify]: Extracting #0: cost 1 inf + 0 3.047 * * [simplify]: Extracting #1: cost 3 inf + 0 3.047 * * [simplify]: Extracting #2: cost 6 inf + 0 3.047 * * [simplify]: Extracting #3: cost 4 inf + 2 3.047 * * [simplify]: Extracting #4: cost 0 inf + 310 3.047 * [simplify]: Simplified to (log (+ 1 N)) 3.047 * [simplify]: Simplified (2 1) to (λ (N) (- (log (+ 1 N)) (log N))) 3.047 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 3.048 * [simplify]: Simplifying (/ (+ N 1) N) 3.048 * * [simplify]: iters left: 4 (4 enodes) 3.050 * * [simplify]: iters left: 3 (15 enodes) 3.054 * * [simplify]: iters left: 2 (17 enodes) 3.059 * * [simplify]: Extracting #0: cost 1 inf + 0 3.059 * * [simplify]: Extracting #1: cost 4 inf + 0 3.059 * * [simplify]: Extracting #2: cost 5 inf + 1 3.059 * * [simplify]: Extracting #3: cost 3 inf + 44 3.059 * * [simplify]: Extracting #4: cost 1 inf + 168 3.059 * * [simplify]: Extracting #5: cost 0 inf + 250 3.059 * [simplify]: Simplified to (/ (+ 1 N) N) 3.060 * [simplify]: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) 3.060 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 3.060 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 3.060 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 3.060 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 3.060 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 3.060 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 3.060 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ N 1) N)))))> 3.060 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 3.060 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 3.060 * [simplify]: Simplifying (- (log (+ N 1)) (log N)) 3.060 * * [simplify]: iters left: 5 (6 enodes) 3.064 * * [simplify]: iters left: 4 (23 enodes) 3.071 * * [simplify]: iters left: 3 (28 enodes) 3.078 * * [simplify]: Extracting #0: cost 1 inf + 0 3.078 * * [simplify]: Extracting #1: cost 5 inf + 0 3.078 * * [simplify]: Extracting #2: cost 10 inf + 0 3.078 * * [simplify]: Extracting #3: cost 11 inf + 1 3.078 * * [simplify]: Extracting #4: cost 6 inf + 228 3.078 * * [simplify]: Extracting #5: cost 1 inf + 896 3.079 * * [simplify]: Extracting #6: cost 0 inf + 1118 3.079 * [simplify]: Simplified to (- (log (+ 1 N)) (log N)) 3.079 * [simplify]: Simplified (2 1 1) to (λ (N) (log (exp (- (log (+ 1 N)) (log N))))) 3.079 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 3.079 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 3.079 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 3.080 * [simplify]: Simplifying (/ (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) 3.080 * * [simplify]: iters left: 6 (8 enodes) 3.084 * * [simplify]: iters left: 5 (48 enodes) 3.105 * * [simplify]: iters left: 4 (121 enodes) 3.137 * * [simplify]: iters left: 3 (301 enodes) 3.386 * * [simplify]: Extracting #0: cost 1 inf + 0 3.386 * * [simplify]: Extracting #1: cost 40 inf + 0 3.387 * * [simplify]: Extracting #2: cost 130 inf + 44 3.390 * * [simplify]: Extracting #3: cost 127 inf + 4729 3.397 * * [simplify]: Extracting #4: cost 8 inf + 25931 3.404 * * [simplify]: Extracting #5: cost 0 inf + 26827 3.411 * * [simplify]: Extracting #6: cost 0 inf + 26667 3.423 * [simplify]: Simplified to (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) 3.423 * [simplify]: Simplified (2 1 1) to (λ (N) (log (cbrt (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N))))) 3.423 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 3.423 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 3.423 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 3.423 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 3.424 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 3.424 * [simplify]: Simplifying (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))) 3.424 * * [simplify]: iters left: 6 (8 enodes) 3.428 * * [simplify]: iters left: 5 (33 enodes) 3.438 * * [simplify]: iters left: 4 (50 enodes) 3.445 * * [simplify]: iters left: 3 (57 enodes) 3.454 * * [simplify]: iters left: 2 (60 enodes) 3.463 * * [simplify]: Extracting #0: cost 1 inf + 0 3.463 * * [simplify]: Extracting #1: cost 11 inf + 0 3.463 * * [simplify]: Extracting #2: cost 22 inf + 0 3.463 * * [simplify]: Extracting #3: cost 23 inf + 1 3.463 * * [simplify]: Extracting #4: cost 20 inf + 164 3.463 * * [simplify]: Extracting #5: cost 10 inf + 1662 3.464 * * [simplify]: Extracting #6: cost 2 inf + 3718 3.464 * * [simplify]: Extracting #7: cost 0 inf + 4282 3.465 * [simplify]: Simplified to (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N))) 3.465 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N))))) 3.465 * [simplify]: Simplifying (/ (cbrt (+ N 1)) (cbrt N)) 3.465 * * [simplify]: iters left: 5 (6 enodes) 3.467 * * [simplify]: iters left: 4 (21 enodes) 3.470 * * [simplify]: iters left: 3 (23 enodes) 3.474 * * [simplify]: Extracting #0: cost 1 inf + 0 3.474 * * [simplify]: Extracting #1: cost 4 inf + 0 3.474 * * [simplify]: Extracting #2: cost 8 inf + 0 3.474 * * [simplify]: Extracting #3: cost 7 inf + 163 3.474 * * [simplify]: Extracting #4: cost 6 inf + 164 3.474 * * [simplify]: Extracting #5: cost 0 inf + 976 3.474 * [simplify]: Simplified to (/ (cbrt (+ 1 N)) (cbrt N)) 3.474 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N))))) 3.475 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 3.475 * [simplify]: Simplifying (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) 3.475 * * [simplify]: iters left: 6 (7 enodes) 3.478 * * [simplify]: iters left: 5 (26 enodes) 3.486 * * [simplify]: iters left: 4 (32 enodes) 3.497 * * [simplify]: iters left: 3 (35 enodes) 3.502 * * [simplify]: Extracting #0: cost 1 inf + 0 3.502 * * [simplify]: Extracting #1: cost 7 inf + 0 3.502 * * [simplify]: Extracting #2: cost 14 inf + 0 3.502 * * [simplify]: Extracting #3: cost 15 inf + 1 3.502 * * [simplify]: Extracting #4: cost 13 inf + 43 3.503 * * [simplify]: Extracting #5: cost 5 inf + 1018 3.503 * * [simplify]: Extracting #6: cost 2 inf + 1624 3.503 * * [simplify]: Extracting #7: cost 0 inf + 2028 3.504 * [simplify]: Simplified to (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N))) 3.504 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N))) (/ (cbrt (+ N 1)) (sqrt N))))) 3.504 * [simplify]: Simplifying (/ (cbrt (+ N 1)) (sqrt N)) 3.504 * * [simplify]: iters left: 5 (6 enodes) 3.505 * * [simplify]: iters left: 4 (21 enodes) 3.509 * * [simplify]: iters left: 3 (23 enodes) 3.512 * * [simplify]: Extracting #0: cost 1 inf + 0 3.512 * * [simplify]: Extracting #1: cost 4 inf + 0 3.512 * * [simplify]: Extracting #2: cost 8 inf + 0 3.512 * * [simplify]: Extracting #3: cost 7 inf + 83 3.512 * * [simplify]: Extracting #4: cost 6 inf + 84 3.512 * * [simplify]: Extracting #5: cost 0 inf + 816 3.512 * [simplify]: Simplified to (/ (cbrt (+ 1 N)) (sqrt N)) 3.512 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) (/ (cbrt (+ 1 N)) (sqrt N))))) 3.512 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 3.512 * [simplify]: Simplifying (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1) 3.513 * * [simplify]: iters left: 6 (6 enodes) 3.514 * * [simplify]: iters left: 5 (21 enodes) 3.518 * * [simplify]: iters left: 4 (31 enodes) 3.524 * * [simplify]: iters left: 3 (32 enodes) 3.528 * * [simplify]: Extracting #0: cost 1 inf + 0 3.528 * * [simplify]: Extracting #1: cost 5 inf + 0 3.528 * * [simplify]: Extracting #2: cost 7 inf + 1 3.528 * * [simplify]: Extracting #3: cost 9 inf + 1 3.528 * * [simplify]: Extracting #4: cost 8 inf + 2 3.529 * * [simplify]: Extracting #5: cost 0 inf + 978 3.529 * [simplify]: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 3.529 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (cbrt (+ N 1)) N)))) 3.529 * [simplify]: Simplifying (/ (cbrt (+ N 1)) N) 3.529 * * [simplify]: iters left: 5 (5 enodes) 3.532 * * [simplify]: iters left: 4 (18 enodes) 3.537 * * [simplify]: iters left: 3 (20 enodes) 3.543 * * [simplify]: Extracting #0: cost 1 inf + 0 3.543 * * [simplify]: Extracting #1: cost 4 inf + 0 3.543 * * [simplify]: Extracting #2: cost 5 inf + 1 3.543 * * [simplify]: Extracting #3: cost 7 inf + 1 3.544 * * [simplify]: Extracting #4: cost 0 inf + 654 3.544 * [simplify]: Simplified to (/ (cbrt (+ 1 N)) N) 3.544 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1) (/ (cbrt (+ 1 N)) N)))) 3.544 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 3.544 * [simplify]: Simplifying (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) 3.544 * * [simplify]: iters left: 5 (7 enodes) 3.546 * * [simplify]: iters left: 4 (26 enodes) 3.550 * * [simplify]: iters left: 3 (30 enodes) 3.554 * * [simplify]: Extracting #0: cost 1 inf + 0 3.554 * * [simplify]: Extracting #1: cost 6 inf + 0 3.554 * * [simplify]: Extracting #2: cost 12 inf + 0 3.554 * * [simplify]: Extracting #3: cost 13 inf + 1 3.554 * * [simplify]: Extracting #4: cost 10 inf + 204 3.554 * * [simplify]: Extracting #5: cost 2 inf + 1058 3.554 * * [simplify]: Extracting #6: cost 1 inf + 1300 3.555 * * [simplify]: Extracting #7: cost 0 inf + 1542 3.555 * [simplify]: Simplified to (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) 3.555 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N))))) 3.555 * [simplify]: Simplifying (/ (sqrt (+ N 1)) (cbrt N)) 3.555 * * [simplify]: iters left: 5 (6 enodes) 3.557 * * [simplify]: iters left: 4 (21 enodes) 3.560 * * [simplify]: iters left: 3 (23 enodes) 3.563 * * [simplify]: Extracting #0: cost 1 inf + 0 3.564 * * [simplify]: Extracting #1: cost 4 inf + 0 3.564 * * [simplify]: Extracting #2: cost 8 inf + 0 3.564 * * [simplify]: Extracting #3: cost 7 inf + 163 3.564 * * [simplify]: Extracting #4: cost 6 inf + 164 3.564 * * [simplify]: Extracting #5: cost 0 inf + 816 3.564 * [simplify]: Simplified to (/ (sqrt (+ 1 N)) (cbrt N)) 3.564 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N))))) 3.564 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 3.564 * [simplify]: Simplifying (/ (sqrt (+ N 1)) (sqrt N)) 3.564 * * [simplify]: iters left: 5 (6 enodes) 3.566 * * [simplify]: iters left: 4 (21 enodes) 3.569 * * [simplify]: iters left: 3 (23 enodes) 3.573 * * [simplify]: Extracting #0: cost 1 inf + 0 3.573 * * [simplify]: Extracting #1: cost 4 inf + 0 3.573 * * [simplify]: Extracting #2: cost 8 inf + 0 3.573 * * [simplify]: Extracting #3: cost 7 inf + 83 3.573 * * [simplify]: Extracting #4: cost 6 inf + 84 3.573 * * [simplify]: Extracting #5: cost 0 inf + 656 3.573 * [simplify]: Simplified to (/ (sqrt (+ 1 N)) (sqrt N)) 3.573 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N))))) 3.574 * [simplify]: Simplifying (/ (sqrt (+ N 1)) (sqrt N)) 3.574 * * [simplify]: iters left: 5 (6 enodes) 3.577 * * [simplify]: iters left: 4 (21 enodes) 3.583 * * [simplify]: iters left: 3 (23 enodes) 3.589 * * [simplify]: Extracting #0: cost 1 inf + 0 3.589 * * [simplify]: Extracting #1: cost 4 inf + 0 3.589 * * [simplify]: Extracting #2: cost 8 inf + 0 3.589 * * [simplify]: Extracting #3: cost 7 inf + 83 3.589 * * [simplify]: Extracting #4: cost 6 inf + 84 3.589 * * [simplify]: Extracting #5: cost 0 inf + 656 3.590 * [simplify]: Simplified to (/ (sqrt (+ 1 N)) (sqrt N)) 3.590 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N))))) 3.590 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 3.590 * [simplify]: Simplifying (/ (sqrt (+ N 1)) 1) 3.590 * * [simplify]: iters left: 5 (5 enodes) 3.593 * * [simplify]: iters left: 4 (16 enodes) 3.597 * * [simplify]: iters left: 3 (18 enodes) 3.602 * * [simplify]: Extracting #0: cost 1 inf + 0 3.602 * * [simplify]: Extracting #1: cost 4 inf + 0 3.602 * * [simplify]: Extracting #2: cost 5 inf + 1 3.602 * * [simplify]: Extracting #3: cost 4 inf + 2 3.603 * * [simplify]: Extracting #4: cost 1 inf + 168 3.603 * * [simplify]: Extracting #5: cost 0 inf + 250 3.603 * [simplify]: Simplified to (sqrt (+ 1 N)) 3.603 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* (sqrt (+ 1 N)) (/ (sqrt (+ N 1)) N)))) 3.603 * [simplify]: Simplifying (/ (sqrt (+ N 1)) N) 3.603 * * [simplify]: iters left: 5 (5 enodes) 3.606 * * [simplify]: iters left: 4 (18 enodes) 3.611 * * [simplify]: iters left: 3 (20 enodes) 3.617 * * [simplify]: Extracting #0: cost 1 inf + 0 3.617 * * [simplify]: Extracting #1: cost 4 inf + 0 3.617 * * [simplify]: Extracting #2: cost 5 inf + 1 3.617 * * [simplify]: Extracting #3: cost 7 inf + 1 3.617 * * [simplify]: Extracting #4: cost 0 inf + 494 3.617 * [simplify]: Simplified to (/ (sqrt (+ 1 N)) N) 3.617 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* (/ (sqrt (+ N 1)) 1) (/ (sqrt (+ 1 N)) N)))) 3.618 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 3.618 * [simplify]: Simplifying (/ 1 (* (cbrt N) (cbrt N))) 3.618 * * [simplify]: iters left: 5 (5 enodes) 3.620 * * [simplify]: iters left: 4 (19 enodes) 3.626 * * [simplify]: iters left: 3 (23 enodes) 3.632 * * [simplify]: Extracting #0: cost 1 inf + 0 3.632 * * [simplify]: Extracting #1: cost 6 inf + 0 3.632 * * [simplify]: Extracting #2: cost 9 inf + 1 3.632 * * [simplify]: Extracting #3: cost 1 inf + 852 3.633 * * [simplify]: Extracting #4: cost 0 inf + 974 3.633 * [simplify]: Simplified to (/ 1 (* (cbrt N) (cbrt N))) 3.633 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N))))) 3.633 * [simplify]: Simplifying (/ (+ N 1) (cbrt N)) 3.633 * * [simplify]: iters left: 4 (5 enodes) 3.634 * * [simplify]: iters left: 3 (18 enodes) 3.638 * * [simplify]: iters left: 2 (20 enodes) 3.641 * * [simplify]: Extracting #0: cost 1 inf + 0 3.641 * * [simplify]: Extracting #1: cost 4 inf + 0 3.641 * * [simplify]: Extracting #2: cost 8 inf + 0 3.641 * * [simplify]: Extracting #3: cost 6 inf + 2 3.641 * * [simplify]: Extracting #4: cost 0 inf + 572 3.641 * [simplify]: Simplified to (/ (+ 1 N) (cbrt N)) 3.641 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N))))) 3.642 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 3.642 * [simplify]: Simplifying (/ 1 (sqrt N)) 3.642 * * [simplify]: iters left: 3 (4 enodes) 3.643 * * [simplify]: iters left: 2 (14 enodes) 3.645 * * [simplify]: iters left: 1 (16 enodes) 3.648 * * [simplify]: Extracting #0: cost 1 inf + 0 3.648 * * [simplify]: Extracting #1: cost 4 inf + 0 3.648 * * [simplify]: Extracting #2: cost 5 inf + 1 3.648 * * [simplify]: Extracting #3: cost 3 inf + 43 3.648 * * [simplify]: Extracting #4: cost 1 inf + 166 3.648 * * [simplify]: Extracting #5: cost 0 inf + 248 3.648 * [simplify]: Simplified to (/ 1 (sqrt N)) 3.648 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N))))) 3.649 * [simplify]: Simplifying (/ (+ N 1) (sqrt N)) 3.649 * * [simplify]: iters left: 4 (5 enodes) 3.650 * * [simplify]: iters left: 3 (18 enodes) 3.654 * * [simplify]: iters left: 2 (20 enodes) 3.657 * * [simplify]: Extracting #0: cost 1 inf + 0 3.658 * * [simplify]: Extracting #1: cost 4 inf + 0 3.658 * * [simplify]: Extracting #2: cost 8 inf + 0 3.658 * * [simplify]: Extracting #3: cost 6 inf + 2 3.658 * * [simplify]: Extracting #4: cost 0 inf + 412 3.658 * [simplify]: Simplified to (/ (+ 1 N) (sqrt N)) 3.658 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N))))) 3.658 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 3.658 * [simplify]: Simplifying (/ 1 1) 3.658 * * [simplify]: iters left: 2 (2 enodes) 3.659 * * [simplify]: iters left: 1 (6 enodes) 3.660 * * [simplify]: Extracting #0: cost 1 inf + 0 3.660 * * [simplify]: Extracting #1: cost 0 inf + 1 3.660 * [simplify]: Simplified to 1 3.660 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* 1 (/ (+ N 1) N)))) 3.660 * [simplify]: Simplifying (/ (+ N 1) N) 3.660 * * [simplify]: iters left: 4 (4 enodes) 3.662 * * [simplify]: iters left: 3 (15 enodes) 3.664 * * [simplify]: iters left: 2 (17 enodes) 3.669 * * [simplify]: Extracting #0: cost 1 inf + 0 3.669 * * [simplify]: Extracting #1: cost 4 inf + 0 3.669 * * [simplify]: Extracting #2: cost 5 inf + 1 3.669 * * [simplify]: Extracting #3: cost 3 inf + 44 3.669 * * [simplify]: Extracting #4: cost 1 inf + 168 3.670 * * [simplify]: Extracting #5: cost 0 inf + 250 3.670 * [simplify]: Simplified to (/ (+ 1 N) N) 3.670 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* 1 (/ (+ 1 N) N)))) 3.670 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 3.670 * [simplify]: Simplifying (/ 1 (* (cbrt N) (cbrt N))) 3.670 * * [simplify]: iters left: 5 (5 enodes) 3.673 * * [simplify]: iters left: 4 (19 enodes) 3.679 * * [simplify]: iters left: 3 (23 enodes) 3.684 * * [simplify]: Extracting #0: cost 1 inf + 0 3.685 * * [simplify]: Extracting #1: cost 6 inf + 0 3.685 * * [simplify]: Extracting #2: cost 9 inf + 1 3.685 * * [simplify]: Extracting #3: cost 1 inf + 852 3.685 * * [simplify]: Extracting #4: cost 0 inf + 974 3.685 * [simplify]: Simplified to (/ 1 (* (cbrt N) (cbrt N))) 3.685 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N))))) 3.685 * [simplify]: Simplifying (/ (+ N 1) (cbrt N)) 3.685 * * [simplify]: iters left: 4 (5 enodes) 3.687 * * [simplify]: iters left: 3 (18 enodes) 3.689 * * [simplify]: iters left: 2 (20 enodes) 3.692 * * [simplify]: Extracting #0: cost 1 inf + 0 3.692 * * [simplify]: Extracting #1: cost 4 inf + 0 3.692 * * [simplify]: Extracting #2: cost 8 inf + 0 3.692 * * [simplify]: Extracting #3: cost 6 inf + 2 3.692 * * [simplify]: Extracting #4: cost 0 inf + 572 3.693 * [simplify]: Simplified to (/ (+ 1 N) (cbrt N)) 3.693 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N))))) 3.693 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 3.693 * [simplify]: Simplifying (/ 1 (sqrt N)) 3.693 * * [simplify]: iters left: 3 (4 enodes) 3.694 * * [simplify]: iters left: 2 (14 enodes) 3.697 * * [simplify]: iters left: 1 (16 enodes) 3.699 * * [simplify]: Extracting #0: cost 1 inf + 0 3.699 * * [simplify]: Extracting #1: cost 4 inf + 0 3.699 * * [simplify]: Extracting #2: cost 5 inf + 1 3.699 * * [simplify]: Extracting #3: cost 3 inf + 43 3.699 * * [simplify]: Extracting #4: cost 1 inf + 166 3.699 * * [simplify]: Extracting #5: cost 0 inf + 248 3.699 * [simplify]: Simplified to (/ 1 (sqrt N)) 3.699 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N))))) 3.700 * [simplify]: Simplifying (/ (+ N 1) (sqrt N)) 3.700 * * [simplify]: iters left: 4 (5 enodes) 3.701 * * [simplify]: iters left: 3 (18 enodes) 3.704 * * [simplify]: iters left: 2 (20 enodes) 3.707 * * [simplify]: Extracting #0: cost 1 inf + 0 3.707 * * [simplify]: Extracting #1: cost 4 inf + 0 3.707 * * [simplify]: Extracting #2: cost 8 inf + 0 3.707 * * [simplify]: Extracting #3: cost 6 inf + 2 3.707 * * [simplify]: Extracting #4: cost 0 inf + 412 3.707 * [simplify]: Simplified to (/ (+ 1 N) (sqrt N)) 3.707 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N))))) 3.707 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 3.707 * [simplify]: Simplifying (/ 1 1) 3.707 * * [simplify]: iters left: 2 (2 enodes) 3.708 * * [simplify]: iters left: 1 (6 enodes) 3.709 * * [simplify]: Extracting #0: cost 1 inf + 0 3.709 * * [simplify]: Extracting #1: cost 0 inf + 1 3.709 * [simplify]: Simplified to 1 3.709 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* 1 (/ (+ N 1) N)))) 3.709 * [simplify]: Simplifying (/ (+ N 1) N) 3.709 * * [simplify]: iters left: 4 (4 enodes) 3.710 * * [simplify]: iters left: 3 (15 enodes) 3.713 * * [simplify]: iters left: 2 (17 enodes) 3.715 * * [simplify]: Extracting #0: cost 1 inf + 0 3.715 * * [simplify]: Extracting #1: cost 4 inf + 0 3.715 * * [simplify]: Extracting #2: cost 5 inf + 1 3.715 * * [simplify]: Extracting #3: cost 3 inf + 44 3.715 * * [simplify]: Extracting #4: cost 1 inf + 168 3.715 * * [simplify]: Extracting #5: cost 0 inf + 250 3.716 * [simplify]: Simplified to (/ (+ 1 N) N) 3.716 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* 1 (/ (+ 1 N) N)))) 3.716 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 3.716 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 3.716 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 3.716 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 3.716 * [simplify]: Simplifying (cbrt N) 3.716 * * [simplify]: iters left: 1 (2 enodes) 3.717 * * [simplify]: Extracting #0: cost 1 inf + 0 3.717 * * [simplify]: Extracting #1: cost 3 inf + 0 3.717 * * [simplify]: Extracting #2: cost 2 inf + 1 3.717 * * [simplify]: Extracting #3: cost 0 inf + 163 3.717 * [simplify]: Simplified to (cbrt N) 3.717 * [simplify]: Simplified (2 1 2) to (λ (N) (log (/ (/ (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N)))) 3.717 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 3.718 * [simplify]: Simplifying (sqrt N) 3.718 * * [simplify]: iters left: 1 (2 enodes) 3.718 * * [simplify]: Extracting #0: cost 1 inf + 0 3.718 * * [simplify]: Extracting #1: cost 3 inf + 0 3.719 * * [simplify]: Extracting #2: cost 2 inf + 1 3.719 * * [simplify]: Extracting #3: cost 0 inf + 83 3.719 * [simplify]: Simplified to (sqrt N) 3.719 * [simplify]: Simplified (2 1 2) to (λ (N) (log (/ (/ (+ N 1) (sqrt N)) (sqrt N)))) 3.719 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 3.719 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 3.719 * [simplify]: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1))) 3.719 * * [simplify]: iters left: 5 (5 enodes) 3.722 * * [simplify]: iters left: 4 (18 enodes) 3.727 * * [simplify]: iters left: 3 (20 enodes) 3.732 * * [simplify]: Extracting #0: cost 1 inf + 0 3.733 * * [simplify]: Extracting #1: cost 3 inf + 0 3.733 * * [simplify]: Extracting #2: cost 5 inf + 0 3.733 * * [simplify]: Extracting #3: cost 8 inf + 0 3.733 * * [simplify]: Extracting #4: cost 6 inf + 2 3.733 * * [simplify]: Extracting #5: cost 0 inf + 654 3.733 * [simplify]: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 3.733 * [simplify]: Simplified (2 1 1) to (λ (N) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ N (cbrt (+ N 1)))))) 3.733 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 3.733 * [simplify]: Simplifying (sqrt (+ N 1)) 3.733 * * [simplify]: iters left: 3 (4 enodes) 3.734 * * [simplify]: iters left: 2 (15 enodes) 3.737 * * [simplify]: iters left: 1 (17 enodes) 3.739 * * [simplify]: Extracting #0: cost 1 inf + 0 3.739 * * [simplify]: Extracting #1: cost 3 inf + 0 3.739 * * [simplify]: Extracting #2: cost 6 inf + 0 3.739 * * [simplify]: Extracting #3: cost 2 inf + 86 3.739 * * [simplify]: Extracting #4: cost 1 inf + 168 3.739 * * [simplify]: Extracting #5: cost 0 inf + 250 3.739 * [simplify]: Simplified to (sqrt (+ 1 N)) 3.739 * [simplify]: Simplified (2 1 1) to (λ (N) (log (/ (sqrt (+ 1 N)) (/ N (sqrt (+ N 1)))))) 3.739 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 3.739 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 3.739 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 3.740 * [simplify]: Simplifying (+ (pow N 3) (pow 1 3)) 3.740 * * [simplify]: iters left: 3 (6 enodes) 3.743 * * [simplify]: iters left: 2 (29 enodes) 3.749 * * [simplify]: iters left: 1 (47 enodes) 3.759 * * [simplify]: Extracting #0: cost 1 inf + 0 3.759 * * [simplify]: Extracting #1: cost 4 inf + 0 3.759 * * [simplify]: Extracting #2: cost 9 inf + 1 3.759 * * [simplify]: Extracting #3: cost 11 inf + 3 3.759 * * [simplify]: Extracting #4: cost 9 inf + 722 3.759 * * [simplify]: Extracting #5: cost 4 inf + 1300 3.759 * * [simplify]: Extracting #6: cost 1 inf + 1594 3.760 * * [simplify]: Extracting #7: cost 0 inf + 1806 3.760 * [simplify]: Simplified to (+ 1 (* N (* N N))) 3.760 * [simplify]: Simplified (2 1 1) to (λ (N) (log (/ (+ 1 (* N (* N N))) (* N (+ (* N N) (- (* 1 1) (* N 1))))))) 3.760 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 3.760 * [simplify]: Simplifying (- (* N N) (* 1 1)) 3.760 * * [simplify]: iters left: 4 (5 enodes) 3.762 * * [simplify]: iters left: 3 (18 enodes) 3.766 * * [simplify]: iters left: 2 (25 enodes) 3.773 * * [simplify]: iters left: 1 (32 enodes) 3.781 * * [simplify]: Extracting #0: cost 1 inf + 0 3.781 * * [simplify]: Extracting #1: cost 15 inf + 0 3.781 * * [simplify]: Extracting #2: cost 17 inf + 2 3.781 * * [simplify]: Extracting #3: cost 14 inf + 85 3.781 * * [simplify]: Extracting #4: cost 0 inf + 1077 3.781 * [simplify]: Simplified to (- (* N N) 1) 3.781 * [simplify]: Simplified (2 1 1) to (λ (N) (log (/ (- (* N N) 1) (* N (- N 1))))) 3.782 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ N 1) N)))))> 3.782 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 3.782 * [simplify]: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 3.782 * * [simplify]: iters left: 6 (8 enodes) 3.784 * * [simplify]: iters left: 5 (35 enodes) 3.790 * * [simplify]: iters left: 4 (56 enodes) 3.799 * * [simplify]: iters left: 3 (95 enodes) 3.818 * * [simplify]: iters left: 2 (128 enodes) 3.857 * * [simplify]: iters left: 1 (162 enodes) 3.881 * * [simplify]: Extracting #0: cost 1 inf + 0 3.881 * * [simplify]: Extracting #1: cost 16 inf + 0 3.881 * * [simplify]: Extracting #2: cost 33 inf + 1 3.881 * * [simplify]: Extracting #3: cost 30 inf + 525 3.882 * * [simplify]: Extracting #4: cost 6 inf + 3093 3.883 * * [simplify]: Extracting #5: cost 0 inf + 4025 3.884 * * [simplify]: Extracting #6: cost 0 inf + 3985 3.885 * [simplify]: Simplified to (- N (+ (log N) (* N (* N 1/2)))) 3.885 * [simplify]: Simplified (2) to (λ (N) (- N (+ (log N) (* N (* N 1/2))))) 3.885 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 3.885 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 3.885 * * [simplify]: iters left: 6 (15 enodes) 3.893 * * [simplify]: iters left: 5 (68 enodes) 3.919 * * [simplify]: iters left: 4 (114 enodes) 3.949 * * [simplify]: iters left: 3 (170 enodes) 3.978 * * [simplify]: iters left: 2 (278 enodes) 4.036 * * [simplify]: Extracting #0: cost 1 inf + 0 4.036 * * [simplify]: Extracting #1: cost 11 inf + 0 4.036 * * [simplify]: Extracting #2: cost 69 inf + 0 4.037 * * [simplify]: Extracting #3: cost 110 inf + 741 4.039 * * [simplify]: Extracting #4: cost 88 inf + 3078 4.043 * * [simplify]: Extracting #5: cost 40 inf + 17981 4.049 * * [simplify]: Extracting #6: cost 6 inf + 30433 4.056 * * [simplify]: Extracting #7: cost 0 inf + 32845 4.063 * * [simplify]: Extracting #8: cost 0 inf + 32765 4.070 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 4.070 * [simplify]: Simplified (2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 4.070 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 4.071 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 4.071 * * [simplify]: iters left: 6 (15 enodes) 4.081 * * [simplify]: iters left: 5 (68 enodes) 4.105 * * [simplify]: iters left: 4 (114 enodes) 4.141 * * [simplify]: iters left: 3 (170 enodes) 4.200 * * [simplify]: iters left: 2 (278 enodes) 4.286 * * [simplify]: Extracting #0: cost 1 inf + 0 4.286 * * [simplify]: Extracting #1: cost 11 inf + 0 4.287 * * [simplify]: Extracting #2: cost 69 inf + 0 4.288 * * [simplify]: Extracting #3: cost 110 inf + 741 4.289 * * [simplify]: Extracting #4: cost 88 inf + 3078 4.294 * * [simplify]: Extracting #5: cost 40 inf + 17981 4.300 * * [simplify]: Extracting #6: cost 6 inf + 30433 4.307 * * [simplify]: Extracting #7: cost 0 inf + 32845 4.317 * * [simplify]: Extracting #8: cost 0 inf + 32765 4.322 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 4.322 * [simplify]: Simplified (2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 4.322 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 4.322 * [simplify]: Simplifying (+ (/ 1 N) 1) 4.322 * * [simplify]: iters left: 4 (4 enodes) 4.324 * * [simplify]: iters left: 3 (15 enodes) 4.327 * * [simplify]: iters left: 2 (17 enodes) 4.329 * * [simplify]: Extracting #0: cost 1 inf + 0 4.329 * * [simplify]: Extracting #1: cost 4 inf + 0 4.329 * * [simplify]: Extracting #2: cost 5 inf + 1 4.329 * * [simplify]: Extracting #3: cost 4 inf + 2 4.329 * * [simplify]: Extracting #4: cost 1 inf + 208 4.329 * * [simplify]: Extracting #5: cost 0 inf + 250 4.329 * [simplify]: Simplified to (+ 1 (/ 1 N)) 4.329 * [simplify]: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 4.329 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 4.330 * [simplify]: Simplifying (+ (/ 1 N) 1) 4.330 * * [simplify]: iters left: 4 (4 enodes) 4.331 * * [simplify]: iters left: 3 (15 enodes) 4.333 * * [simplify]: iters left: 2 (17 enodes) 4.336 * * [simplify]: Extracting #0: cost 1 inf + 0 4.336 * * [simplify]: Extracting #1: cost 4 inf + 0 4.336 * * [simplify]: Extracting #2: cost 5 inf + 1 4.336 * * [simplify]: Extracting #3: cost 4 inf + 2 4.336 * * [simplify]: Extracting #4: cost 1 inf + 208 4.336 * * [simplify]: Extracting #5: cost 0 inf + 250 4.336 * [simplify]: Simplified to (+ 1 (/ 1 N)) 4.336 * [simplify]: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 4.336 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 4.336 * [simplify]: Simplifying (+ (/ 1 N) 1) 4.336 * * [simplify]: iters left: 4 (4 enodes) 4.337 * * [simplify]: iters left: 3 (15 enodes) 4.340 * * [simplify]: iters left: 2 (17 enodes) 4.342 * * [simplify]: Extracting #0: cost 1 inf + 0 4.343 * * [simplify]: Extracting #1: cost 4 inf + 0 4.343 * * [simplify]: Extracting #2: cost 5 inf + 1 4.343 * * [simplify]: Extracting #3: cost 4 inf + 2 4.343 * * [simplify]: Extracting #4: cost 1 inf + 208 4.343 * * [simplify]: Extracting #5: cost 0 inf + 250 4.343 * [simplify]: Simplified to (+ 1 (/ 1 N)) 4.343 * [simplify]: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 4.343 * * * [progress]: adding candidates to table 4.823 * * [progress]: iteration 3 / 4 4.823 * * * [progress]: picking best candidate 4.838 * * * * [pick]: Picked # 4.838 * * * [progress]: localizing error 4.859 * * * [progress]: generating rewritten candidates 4.859 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.867 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.871 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 4.876 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 4.883 * * * [progress]: generating series expansions 4.883 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.883 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1) N))) into (log (sqrt (/ (+ N 1) N))) 4.883 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 4.883 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 4.883 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 4.883 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.883 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.883 * [taylor]: Taking taylor expansion of N in N 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 1 into 1 4.883 * [taylor]: Taking taylor expansion of 1 in N 4.883 * [backup-simplify]: Simplify 1 into 1 4.883 * [taylor]: Taking taylor expansion of N in N 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 1 into 1 4.884 * [backup-simplify]: Simplify (+ 0 1) into 1 4.884 * [backup-simplify]: Simplify (/ 1 1) into 1 4.884 * [backup-simplify]: Simplify (sqrt 0) into 0 4.885 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.886 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.886 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 4.886 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 4.886 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.886 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.886 * [taylor]: Taking taylor expansion of N in N 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify 1 into 1 4.886 * [taylor]: Taking taylor expansion of 1 in N 4.886 * [backup-simplify]: Simplify 1 into 1 4.886 * [taylor]: Taking taylor expansion of N in N 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify 1 into 1 4.886 * [backup-simplify]: Simplify (+ 0 1) into 1 4.886 * [backup-simplify]: Simplify (/ 1 1) into 1 4.887 * [backup-simplify]: Simplify (sqrt 0) into 0 4.887 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.888 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.888 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.888 * [backup-simplify]: Simplify (+ 1 0) into 1 4.889 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 4.891 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.896 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.896 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.896 * [backup-simplify]: Simplify (+ 0 0) into 0 4.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.922 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 4.922 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.923 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 4.923 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 4.923 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 4.923 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 4.923 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 4.923 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.924 * [taylor]: Taking taylor expansion of N in N 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 1 into 1 4.924 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.924 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.924 * [taylor]: Taking taylor expansion of N in N 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 1 into 1 4.924 * [backup-simplify]: Simplify (/ 1 1) into 1 4.924 * [taylor]: Taking taylor expansion of 1 in N 4.924 * [backup-simplify]: Simplify 1 into 1 4.925 * [backup-simplify]: Simplify (+ 1 0) into 1 4.925 * [backup-simplify]: Simplify (* 0 1) into 0 4.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.926 * [backup-simplify]: Simplify (+ 0 1) into 1 4.927 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.927 * [backup-simplify]: Simplify (sqrt 1) into 1 4.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.929 * [backup-simplify]: Simplify (+ 0 0) into 0 4.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 4.930 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.930 * [backup-simplify]: Simplify (log 1) into 0 4.930 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 4.931 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 4.931 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.931 * [taylor]: Taking taylor expansion of N in N 4.931 * [backup-simplify]: Simplify 0 into 0 4.931 * [backup-simplify]: Simplify 1 into 1 4.931 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.931 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.931 * [taylor]: Taking taylor expansion of N in N 4.931 * [backup-simplify]: Simplify 0 into 0 4.931 * [backup-simplify]: Simplify 1 into 1 4.931 * [backup-simplify]: Simplify (/ 1 1) into 1 4.931 * [taylor]: Taking taylor expansion of 1 in N 4.931 * [backup-simplify]: Simplify 1 into 1 4.932 * [backup-simplify]: Simplify (+ 1 0) into 1 4.932 * [backup-simplify]: Simplify (* 0 1) into 0 4.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.934 * [backup-simplify]: Simplify (+ 0 1) into 1 4.935 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.935 * [backup-simplify]: Simplify (sqrt 1) into 1 4.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.937 * [backup-simplify]: Simplify (+ 0 0) into 0 4.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 4.938 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.939 * [backup-simplify]: Simplify (log 1) into 0 4.939 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 4.940 * [backup-simplify]: Simplify 1/2 into 1/2 4.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.942 * [backup-simplify]: Simplify (+ 0 0) into 0 4.943 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 4.944 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 4.946 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 4.947 * [backup-simplify]: Simplify -1/4 into -1/4 4.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.948 * [backup-simplify]: Simplify (+ 0 0) into 0 4.949 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 4.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 4.956 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 4.956 * [backup-simplify]: Simplify 1/6 into 1/6 4.956 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 4.957 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 4.957 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 4.957 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 4.957 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 4.957 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.957 * [taylor]: Taking taylor expansion of -1 in N 4.957 * [backup-simplify]: Simplify -1 into -1 4.957 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.957 * [taylor]: Taking taylor expansion of N in N 4.957 * [backup-simplify]: Simplify 0 into 0 4.957 * [backup-simplify]: Simplify 1 into 1 4.957 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.957 * [taylor]: Taking taylor expansion of 1 in N 4.957 * [backup-simplify]: Simplify 1 into 1 4.957 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.957 * [taylor]: Taking taylor expansion of N in N 4.957 * [backup-simplify]: Simplify 0 into 0 4.957 * [backup-simplify]: Simplify 1 into 1 4.957 * [backup-simplify]: Simplify (/ 1 1) into 1 4.958 * [backup-simplify]: Simplify (- 1) into -1 4.958 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.959 * [backup-simplify]: Simplify (* 0 -1) into 0 4.959 * [backup-simplify]: Simplify (* -1 0) into 0 4.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.960 * [backup-simplify]: Simplify (- 0) into 0 4.961 * [backup-simplify]: Simplify (+ 1 0) into 1 4.961 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 4.962 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.962 * [backup-simplify]: Simplify (sqrt 1) into 1 4.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.964 * [backup-simplify]: Simplify (- 0) into 0 4.964 * [backup-simplify]: Simplify (+ 0 0) into 0 4.965 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 4.966 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 4.967 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 4.967 * [backup-simplify]: Simplify (log 1) into 0 4.967 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 4.967 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 4.967 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.967 * [taylor]: Taking taylor expansion of -1 in N 4.968 * [backup-simplify]: Simplify -1 into -1 4.968 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.968 * [taylor]: Taking taylor expansion of N in N 4.968 * [backup-simplify]: Simplify 0 into 0 4.968 * [backup-simplify]: Simplify 1 into 1 4.968 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.968 * [taylor]: Taking taylor expansion of 1 in N 4.968 * [backup-simplify]: Simplify 1 into 1 4.968 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.968 * [taylor]: Taking taylor expansion of N in N 4.968 * [backup-simplify]: Simplify 0 into 0 4.968 * [backup-simplify]: Simplify 1 into 1 4.968 * [backup-simplify]: Simplify (/ 1 1) into 1 4.969 * [backup-simplify]: Simplify (- 1) into -1 4.969 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.969 * [backup-simplify]: Simplify (* 0 -1) into 0 4.970 * [backup-simplify]: Simplify (* -1 0) into 0 4.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.971 * [backup-simplify]: Simplify (- 0) into 0 4.971 * [backup-simplify]: Simplify (+ 1 0) into 1 4.972 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 4.973 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.973 * [backup-simplify]: Simplify (sqrt 1) into 1 4.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.975 * [backup-simplify]: Simplify (- 0) into 0 4.975 * [backup-simplify]: Simplify (+ 0 0) into 0 4.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 4.977 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 4.978 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 4.978 * [backup-simplify]: Simplify (log 1) into 0 4.978 * [backup-simplify]: Simplify 0 into 0 4.979 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 4.979 * [backup-simplify]: Simplify -1/2 into -1/2 4.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.981 * [backup-simplify]: Simplify (- 0) into 0 4.981 * [backup-simplify]: Simplify (+ 0 0) into 0 4.982 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 4.984 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 4.985 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 4.987 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 4.987 * [backup-simplify]: Simplify -1/4 into -1/4 4.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.989 * [backup-simplify]: Simplify (- 0) into 0 4.989 * [backup-simplify]: Simplify (+ 0 0) into 0 4.991 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 4.992 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 4.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 4.999 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 4.999 * [backup-simplify]: Simplify -1/6 into -1/6 4.999 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 4.999 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.000 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1) N))) into (log (sqrt (/ (+ N 1) N))) 5.000 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 5.000 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 5.000 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.000 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.000 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.000 * [taylor]: Taking taylor expansion of N in N 5.000 * [backup-simplify]: Simplify 0 into 0 5.000 * [backup-simplify]: Simplify 1 into 1 5.000 * [taylor]: Taking taylor expansion of 1 in N 5.000 * [backup-simplify]: Simplify 1 into 1 5.000 * [taylor]: Taking taylor expansion of N in N 5.000 * [backup-simplify]: Simplify 0 into 0 5.000 * [backup-simplify]: Simplify 1 into 1 5.000 * [backup-simplify]: Simplify (+ 0 1) into 1 5.001 * [backup-simplify]: Simplify (/ 1 1) into 1 5.001 * [backup-simplify]: Simplify (sqrt 0) into 0 5.003 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.003 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.003 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 5.003 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.003 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.003 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.003 * [taylor]: Taking taylor expansion of N in N 5.003 * [backup-simplify]: Simplify 0 into 0 5.003 * [backup-simplify]: Simplify 1 into 1 5.003 * [taylor]: Taking taylor expansion of 1 in N 5.003 * [backup-simplify]: Simplify 1 into 1 5.003 * [taylor]: Taking taylor expansion of N in N 5.003 * [backup-simplify]: Simplify 0 into 0 5.003 * [backup-simplify]: Simplify 1 into 1 5.004 * [backup-simplify]: Simplify (+ 0 1) into 1 5.004 * [backup-simplify]: Simplify (/ 1 1) into 1 5.004 * [backup-simplify]: Simplify (sqrt 0) into 0 5.006 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.006 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.006 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.007 * [backup-simplify]: Simplify (+ 1 0) into 1 5.008 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.011 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.017 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.017 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.017 * [backup-simplify]: Simplify (+ 0 0) into 0 5.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.022 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.035 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 5.035 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.036 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 5.036 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 5.036 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 5.036 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 5.036 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.036 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.036 * [taylor]: Taking taylor expansion of N in N 5.036 * [backup-simplify]: Simplify 0 into 0 5.036 * [backup-simplify]: Simplify 1 into 1 5.036 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.036 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.036 * [taylor]: Taking taylor expansion of N in N 5.036 * [backup-simplify]: Simplify 0 into 0 5.036 * [backup-simplify]: Simplify 1 into 1 5.037 * [backup-simplify]: Simplify (/ 1 1) into 1 5.037 * [taylor]: Taking taylor expansion of 1 in N 5.037 * [backup-simplify]: Simplify 1 into 1 5.037 * [backup-simplify]: Simplify (+ 1 0) into 1 5.038 * [backup-simplify]: Simplify (* 0 1) into 0 5.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.039 * [backup-simplify]: Simplify (+ 0 1) into 1 5.039 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.040 * [backup-simplify]: Simplify (sqrt 1) into 1 5.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.041 * [backup-simplify]: Simplify (+ 0 0) into 0 5.042 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.042 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.043 * [backup-simplify]: Simplify (log 1) into 0 5.043 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 5.043 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.043 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.043 * [taylor]: Taking taylor expansion of N in N 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify 1 into 1 5.043 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.043 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.043 * [taylor]: Taking taylor expansion of N in N 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify 1 into 1 5.044 * [backup-simplify]: Simplify (/ 1 1) into 1 5.044 * [taylor]: Taking taylor expansion of 1 in N 5.044 * [backup-simplify]: Simplify 1 into 1 5.044 * [backup-simplify]: Simplify (+ 1 0) into 1 5.045 * [backup-simplify]: Simplify (* 0 1) into 0 5.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.046 * [backup-simplify]: Simplify (+ 0 1) into 1 5.047 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.047 * [backup-simplify]: Simplify (sqrt 1) into 1 5.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.049 * [backup-simplify]: Simplify (+ 0 0) into 0 5.049 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.050 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.050 * [backup-simplify]: Simplify (log 1) into 0 5.051 * [backup-simplify]: Simplify 0 into 0 5.052 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.052 * [backup-simplify]: Simplify 1/2 into 1/2 5.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.053 * [backup-simplify]: Simplify (+ 0 0) into 0 5.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.055 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.059 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.059 * [backup-simplify]: Simplify -1/4 into -1/4 5.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.060 * [backup-simplify]: Simplify (+ 0 0) into 0 5.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 5.063 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 5.071 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 5.071 * [backup-simplify]: Simplify 1/6 into 1/6 5.071 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 5.071 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 5.072 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 5.072 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 5.072 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.072 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.072 * [taylor]: Taking taylor expansion of -1 in N 5.072 * [backup-simplify]: Simplify -1 into -1 5.072 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.072 * [taylor]: Taking taylor expansion of N in N 5.072 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify 1 into 1 5.072 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.072 * [taylor]: Taking taylor expansion of 1 in N 5.072 * [backup-simplify]: Simplify 1 into 1 5.072 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.072 * [taylor]: Taking taylor expansion of N in N 5.072 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify 1 into 1 5.073 * [backup-simplify]: Simplify (/ 1 1) into 1 5.073 * [backup-simplify]: Simplify (- 1) into -1 5.073 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.074 * [backup-simplify]: Simplify (* 0 -1) into 0 5.074 * [backup-simplify]: Simplify (* -1 0) into 0 5.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.076 * [backup-simplify]: Simplify (- 0) into 0 5.076 * [backup-simplify]: Simplify (+ 1 0) into 1 5.077 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.077 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.078 * [backup-simplify]: Simplify (sqrt 1) into 1 5.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.079 * [backup-simplify]: Simplify (- 0) into 0 5.079 * [backup-simplify]: Simplify (+ 0 0) into 0 5.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.081 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.082 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.082 * [backup-simplify]: Simplify (log 1) into 0 5.082 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 5.082 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.082 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.082 * [taylor]: Taking taylor expansion of -1 in N 5.082 * [backup-simplify]: Simplify -1 into -1 5.082 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.082 * [taylor]: Taking taylor expansion of N in N 5.082 * [backup-simplify]: Simplify 0 into 0 5.082 * [backup-simplify]: Simplify 1 into 1 5.083 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.083 * [taylor]: Taking taylor expansion of 1 in N 5.083 * [backup-simplify]: Simplify 1 into 1 5.083 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.083 * [taylor]: Taking taylor expansion of N in N 5.083 * [backup-simplify]: Simplify 0 into 0 5.083 * [backup-simplify]: Simplify 1 into 1 5.083 * [backup-simplify]: Simplify (/ 1 1) into 1 5.084 * [backup-simplify]: Simplify (- 1) into -1 5.084 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.085 * [backup-simplify]: Simplify (* 0 -1) into 0 5.085 * [backup-simplify]: Simplify (* -1 0) into 0 5.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.086 * [backup-simplify]: Simplify (- 0) into 0 5.087 * [backup-simplify]: Simplify (+ 1 0) into 1 5.087 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.088 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.088 * [backup-simplify]: Simplify (sqrt 1) into 1 5.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.090 * [backup-simplify]: Simplify (- 0) into 0 5.091 * [backup-simplify]: Simplify (+ 0 0) into 0 5.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.092 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.093 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.093 * [backup-simplify]: Simplify (log 1) into 0 5.093 * [backup-simplify]: Simplify 0 into 0 5.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 5.094 * [backup-simplify]: Simplify -1/2 into -1/2 5.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.095 * [backup-simplify]: Simplify (- 0) into 0 5.095 * [backup-simplify]: Simplify (+ 0 0) into 0 5.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.097 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 5.097 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 5.099 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.099 * [backup-simplify]: Simplify -1/4 into -1/4 5.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.100 * [backup-simplify]: Simplify (- 0) into 0 5.100 * [backup-simplify]: Simplify (+ 0 0) into 0 5.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 5.102 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 5.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 5.106 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 5.106 * [backup-simplify]: Simplify -1/6 into -1/6 5.106 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 5.106 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.106 * [backup-simplify]: Simplify (sqrt (/ (+ N 1) N)) into (sqrt (/ (+ N 1) N)) 5.106 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 5.106 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.106 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.106 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.106 * [taylor]: Taking taylor expansion of N in N 5.106 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify 1 into 1 5.106 * [taylor]: Taking taylor expansion of 1 in N 5.106 * [backup-simplify]: Simplify 1 into 1 5.106 * [taylor]: Taking taylor expansion of N in N 5.106 * [backup-simplify]: Simplify 0 into 0 5.107 * [backup-simplify]: Simplify 1 into 1 5.107 * [backup-simplify]: Simplify (+ 0 1) into 1 5.107 * [backup-simplify]: Simplify (/ 1 1) into 1 5.107 * [backup-simplify]: Simplify (sqrt 0) into 0 5.108 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.108 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.108 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.108 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.108 * [taylor]: Taking taylor expansion of N in N 5.108 * [backup-simplify]: Simplify 0 into 0 5.108 * [backup-simplify]: Simplify 1 into 1 5.108 * [taylor]: Taking taylor expansion of 1 in N 5.108 * [backup-simplify]: Simplify 1 into 1 5.108 * [taylor]: Taking taylor expansion of N in N 5.108 * [backup-simplify]: Simplify 0 into 0 5.108 * [backup-simplify]: Simplify 1 into 1 5.109 * [backup-simplify]: Simplify (+ 0 1) into 1 5.109 * [backup-simplify]: Simplify (/ 1 1) into 1 5.109 * [backup-simplify]: Simplify (sqrt 0) into 0 5.110 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.110 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.110 * [backup-simplify]: Simplify (+ 1 0) into 1 5.111 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.113 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.113 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.113 * [backup-simplify]: Simplify (+ 0 0) into 0 5.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.116 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.116 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 5.116 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 5.116 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 5.116 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.116 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.116 * [taylor]: Taking taylor expansion of N in N 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 1 into 1 5.116 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.116 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.116 * [taylor]: Taking taylor expansion of N in N 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 1 into 1 5.116 * [backup-simplify]: Simplify (/ 1 1) into 1 5.117 * [taylor]: Taking taylor expansion of 1 in N 5.117 * [backup-simplify]: Simplify 1 into 1 5.117 * [backup-simplify]: Simplify (+ 1 0) into 1 5.117 * [backup-simplify]: Simplify (* 0 1) into 0 5.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.118 * [backup-simplify]: Simplify (+ 0 1) into 1 5.118 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.118 * [backup-simplify]: Simplify (sqrt 1) into 1 5.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.119 * [backup-simplify]: Simplify (+ 0 0) into 0 5.120 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.120 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.120 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.120 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.120 * [taylor]: Taking taylor expansion of N in N 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify 1 into 1 5.120 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.120 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.120 * [taylor]: Taking taylor expansion of N in N 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify 1 into 1 5.120 * [backup-simplify]: Simplify (/ 1 1) into 1 5.120 * [taylor]: Taking taylor expansion of 1 in N 5.120 * [backup-simplify]: Simplify 1 into 1 5.121 * [backup-simplify]: Simplify (+ 1 0) into 1 5.121 * [backup-simplify]: Simplify (* 0 1) into 0 5.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.122 * [backup-simplify]: Simplify (+ 0 1) into 1 5.122 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.122 * [backup-simplify]: Simplify (sqrt 1) into 1 5.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.123 * [backup-simplify]: Simplify (+ 0 0) into 0 5.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.124 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.124 * [backup-simplify]: Simplify 1 into 1 5.124 * [backup-simplify]: Simplify 1/2 into 1/2 5.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.125 * [backup-simplify]: Simplify (+ 0 0) into 0 5.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.126 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.126 * [backup-simplify]: Simplify -1/8 into -1/8 5.126 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 5.127 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 5.127 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 5.127 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.127 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.127 * [taylor]: Taking taylor expansion of -1 in N 5.127 * [backup-simplify]: Simplify -1 into -1 5.127 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.127 * [taylor]: Taking taylor expansion of N in N 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify 1 into 1 5.127 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.127 * [taylor]: Taking taylor expansion of 1 in N 5.127 * [backup-simplify]: Simplify 1 into 1 5.127 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.127 * [taylor]: Taking taylor expansion of N in N 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify 1 into 1 5.127 * [backup-simplify]: Simplify (/ 1 1) into 1 5.127 * [backup-simplify]: Simplify (- 1) into -1 5.128 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.128 * [backup-simplify]: Simplify (* 0 -1) into 0 5.128 * [backup-simplify]: Simplify (* -1 0) into 0 5.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.129 * [backup-simplify]: Simplify (- 0) into 0 5.129 * [backup-simplify]: Simplify (+ 1 0) into 1 5.130 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.130 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.130 * [backup-simplify]: Simplify (sqrt 1) into 1 5.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.131 * [backup-simplify]: Simplify (- 0) into 0 5.131 * [backup-simplify]: Simplify (+ 0 0) into 0 5.132 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.132 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.133 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.133 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.133 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.133 * [taylor]: Taking taylor expansion of -1 in N 5.133 * [backup-simplify]: Simplify -1 into -1 5.133 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.133 * [taylor]: Taking taylor expansion of N in N 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [backup-simplify]: Simplify 1 into 1 5.133 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.133 * [taylor]: Taking taylor expansion of 1 in N 5.133 * [backup-simplify]: Simplify 1 into 1 5.133 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.133 * [taylor]: Taking taylor expansion of N in N 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [backup-simplify]: Simplify 1 into 1 5.133 * [backup-simplify]: Simplify (/ 1 1) into 1 5.133 * [backup-simplify]: Simplify (- 1) into -1 5.134 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.134 * [backup-simplify]: Simplify (* 0 -1) into 0 5.134 * [backup-simplify]: Simplify (* -1 0) into 0 5.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.135 * [backup-simplify]: Simplify (- 0) into 0 5.135 * [backup-simplify]: Simplify (+ 1 0) into 1 5.136 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.136 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.136 * [backup-simplify]: Simplify (sqrt 1) into 1 5.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.137 * [backup-simplify]: Simplify (- 0) into 0 5.137 * [backup-simplify]: Simplify (+ 0 0) into 0 5.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.138 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.139 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.139 * [backup-simplify]: Simplify 1 into 1 5.139 * [backup-simplify]: Simplify -1/2 into -1/2 5.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.140 * [backup-simplify]: Simplify (- 0) into 0 5.140 * [backup-simplify]: Simplify (+ 0 0) into 0 5.141 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.141 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 5.142 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 5.142 * [backup-simplify]: Simplify -1/8 into -1/8 5.142 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 5.142 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 5.142 * [backup-simplify]: Simplify (sqrt (/ (+ N 1) N)) into (sqrt (/ (+ N 1) N)) 5.142 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 5.142 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.142 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.142 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.142 * [taylor]: Taking taylor expansion of N in N 5.142 * [backup-simplify]: Simplify 0 into 0 5.142 * [backup-simplify]: Simplify 1 into 1 5.142 * [taylor]: Taking taylor expansion of 1 in N 5.142 * [backup-simplify]: Simplify 1 into 1 5.142 * [taylor]: Taking taylor expansion of N in N 5.142 * [backup-simplify]: Simplify 0 into 0 5.142 * [backup-simplify]: Simplify 1 into 1 5.143 * [backup-simplify]: Simplify (+ 0 1) into 1 5.143 * [backup-simplify]: Simplify (/ 1 1) into 1 5.143 * [backup-simplify]: Simplify (sqrt 0) into 0 5.145 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.145 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.145 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.145 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.145 * [taylor]: Taking taylor expansion of N in N 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [taylor]: Taking taylor expansion of 1 in N 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [taylor]: Taking taylor expansion of N in N 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [backup-simplify]: Simplify (+ 0 1) into 1 5.146 * [backup-simplify]: Simplify (/ 1 1) into 1 5.146 * [backup-simplify]: Simplify (sqrt 0) into 0 5.147 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.148 * [backup-simplify]: Simplify 0 into 0 5.148 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.148 * [backup-simplify]: Simplify (+ 1 0) into 1 5.149 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.152 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.152 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.153 * [backup-simplify]: Simplify (+ 0 0) into 0 5.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.158 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.158 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 5.158 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 5.158 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 5.158 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.158 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.158 * [taylor]: Taking taylor expansion of N in N 5.158 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify 1 into 1 5.158 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.158 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.158 * [taylor]: Taking taylor expansion of N in N 5.158 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify 1 into 1 5.159 * [backup-simplify]: Simplify (/ 1 1) into 1 5.159 * [taylor]: Taking taylor expansion of 1 in N 5.159 * [backup-simplify]: Simplify 1 into 1 5.159 * [backup-simplify]: Simplify (+ 1 0) into 1 5.160 * [backup-simplify]: Simplify (* 0 1) into 0 5.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.161 * [backup-simplify]: Simplify (+ 0 1) into 1 5.162 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.162 * [backup-simplify]: Simplify (sqrt 1) into 1 5.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.163 * [backup-simplify]: Simplify (+ 0 0) into 0 5.164 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.165 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.165 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.165 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.165 * [taylor]: Taking taylor expansion of N in N 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify 1 into 1 5.165 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.165 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.165 * [taylor]: Taking taylor expansion of N in N 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify 1 into 1 5.165 * [backup-simplify]: Simplify (/ 1 1) into 1 5.165 * [taylor]: Taking taylor expansion of 1 in N 5.165 * [backup-simplify]: Simplify 1 into 1 5.166 * [backup-simplify]: Simplify (+ 1 0) into 1 5.166 * [backup-simplify]: Simplify (* 0 1) into 0 5.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.167 * [backup-simplify]: Simplify (+ 0 1) into 1 5.168 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.168 * [backup-simplify]: Simplify (sqrt 1) into 1 5.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.170 * [backup-simplify]: Simplify (+ 0 0) into 0 5.170 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.171 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.171 * [backup-simplify]: Simplify 1 into 1 5.171 * [backup-simplify]: Simplify 1/2 into 1/2 5.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.172 * [backup-simplify]: Simplify (+ 0 0) into 0 5.173 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.175 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.175 * [backup-simplify]: Simplify -1/8 into -1/8 5.175 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 5.175 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 5.175 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 5.175 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.175 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.175 * [taylor]: Taking taylor expansion of -1 in N 5.175 * [backup-simplify]: Simplify -1 into -1 5.175 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.175 * [taylor]: Taking taylor expansion of N in N 5.175 * [backup-simplify]: Simplify 0 into 0 5.175 * [backup-simplify]: Simplify 1 into 1 5.175 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.175 * [taylor]: Taking taylor expansion of 1 in N 5.175 * [backup-simplify]: Simplify 1 into 1 5.175 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.176 * [taylor]: Taking taylor expansion of N in N 5.176 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify 1 into 1 5.176 * [backup-simplify]: Simplify (/ 1 1) into 1 5.176 * [backup-simplify]: Simplify (- 1) into -1 5.177 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.177 * [backup-simplify]: Simplify (* 0 -1) into 0 5.178 * [backup-simplify]: Simplify (* -1 0) into 0 5.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.181 * [backup-simplify]: Simplify (- 0) into 0 5.181 * [backup-simplify]: Simplify (+ 1 0) into 1 5.182 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.183 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.183 * [backup-simplify]: Simplify (sqrt 1) into 1 5.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.185 * [backup-simplify]: Simplify (- 0) into 0 5.185 * [backup-simplify]: Simplify (+ 0 0) into 0 5.186 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.187 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.188 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.188 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.188 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.188 * [taylor]: Taking taylor expansion of -1 in N 5.188 * [backup-simplify]: Simplify -1 into -1 5.188 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.188 * [taylor]: Taking taylor expansion of N in N 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify 1 into 1 5.188 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.188 * [taylor]: Taking taylor expansion of 1 in N 5.188 * [backup-simplify]: Simplify 1 into 1 5.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.188 * [taylor]: Taking taylor expansion of N in N 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify 1 into 1 5.189 * [backup-simplify]: Simplify (/ 1 1) into 1 5.189 * [backup-simplify]: Simplify (- 1) into -1 5.189 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.190 * [backup-simplify]: Simplify (* 0 -1) into 0 5.190 * [backup-simplify]: Simplify (* -1 0) into 0 5.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.191 * [backup-simplify]: Simplify (- 0) into 0 5.192 * [backup-simplify]: Simplify (+ 1 0) into 1 5.192 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.193 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.193 * [backup-simplify]: Simplify (sqrt 1) into 1 5.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.195 * [backup-simplify]: Simplify (- 0) into 0 5.195 * [backup-simplify]: Simplify (+ 0 0) into 0 5.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.197 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.198 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.198 * [backup-simplify]: Simplify 1 into 1 5.198 * [backup-simplify]: Simplify -1/2 into -1/2 5.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.199 * [backup-simplify]: Simplify (- 0) into 0 5.200 * [backup-simplify]: Simplify (+ 0 0) into 0 5.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.202 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 5.203 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 5.203 * [backup-simplify]: Simplify -1/8 into -1/8 5.204 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 5.204 * * * [progress]: simplifying candidates 5.204 * * * * [progress]: [ 1 / 134 ] simplifiying candidate # 5.204 * [simplify]: Simplifying (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 5.204 * * [simplify]: iters left: 6 (8 enodes) 5.208 * * [simplify]: iters left: 5 (29 enodes) 5.218 * * [simplify]: iters left: 4 (33 enodes) 5.227 * * [simplify]: Extracting #0: cost 1 inf + 0 5.227 * * [simplify]: Extracting #1: cost 4 inf + 0 5.227 * * [simplify]: Extracting #2: cost 7 inf + 0 5.227 * * [simplify]: Extracting #3: cost 9 inf + 0 5.228 * * [simplify]: Extracting #4: cost 11 inf + 0 5.228 * * [simplify]: Extracting #5: cost 14 inf + 0 5.228 * * [simplify]: Extracting #6: cost 15 inf + 1 5.228 * * [simplify]: Extracting #7: cost 14 inf + 2 5.228 * * [simplify]: Extracting #8: cost 11 inf + 168 5.228 * * [simplify]: Extracting #9: cost 7 inf + 696 5.229 * * [simplify]: Extracting #10: cost 0 inf + 2550 5.229 * [simplify]: Simplified to (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 5.229 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) (log (cbrt (sqrt (/ (+ N 1) N))))))) 5.230 * * * * [progress]: [ 2 / 134 ] simplifiying candidate # 5.230 * [simplify]: Simplifying (log (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))))) 5.230 * * [simplify]: iters left: 6 (8 enodes) 5.234 * * [simplify]: iters left: 5 (28 enodes) 5.243 * * [simplify]: iters left: 4 (30 enodes) 5.252 * * [simplify]: Extracting #0: cost 1 inf + 0 5.252 * * [simplify]: Extracting #1: cost 3 inf + 0 5.252 * * [simplify]: Extracting #2: cost 6 inf + 0 5.252 * * [simplify]: Extracting #3: cost 9 inf + 0 5.252 * * [simplify]: Extracting #4: cost 12 inf + 0 5.252 * * [simplify]: Extracting #5: cost 13 inf + 1 5.252 * * [simplify]: Extracting #6: cost 12 inf + 2 5.253 * * [simplify]: Extracting #7: cost 8 inf + 250 5.253 * * [simplify]: Extracting #8: cost 4 inf + 1088 5.253 * * [simplify]: Extracting #9: cost 0 inf + 1926 5.254 * [simplify]: Simplified to (log (fabs (cbrt (/ (+ 1 N) N)))) 5.254 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (fabs (cbrt (/ (+ 1 N) N)))) (log (sqrt (cbrt (/ (+ N 1) N))))))) 5.254 * * * * [progress]: [ 3 / 134 ] simplifiying candidate # 5.255 * [simplify]: Simplifying (log (sqrt (sqrt (/ (+ N 1) N)))) 5.255 * * [simplify]: iters left: 6 (7 enodes) 5.259 * * [simplify]: iters left: 5 (24 enodes) 5.265 * * [simplify]: iters left: 4 (26 enodes) 5.269 * * [simplify]: Extracting #0: cost 1 inf + 0 5.269 * * [simplify]: Extracting #1: cost 3 inf + 0 5.269 * * [simplify]: Extracting #2: cost 5 inf + 0 5.269 * * [simplify]: Extracting #3: cost 7 inf + 0 5.269 * * [simplify]: Extracting #4: cost 10 inf + 0 5.269 * * [simplify]: Extracting #5: cost 11 inf + 1 5.269 * * [simplify]: Extracting #6: cost 10 inf + 2 5.269 * * [simplify]: Extracting #7: cost 6 inf + 250 5.269 * * [simplify]: Extracting #8: cost 2 inf + 888 5.270 * * [simplify]: Extracting #9: cost 0 inf + 1282 5.270 * [simplify]: Simplified to (log (sqrt (sqrt (/ (+ 1 N) N)))) 5.270 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ N 1) N))))))) 5.270 * * * * [progress]: [ 4 / 134 ] simplifiying candidate # 5.270 * [simplify]: Simplifying (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))))) 5.270 * * [simplify]: iters left: 6 (10 enodes) 5.273 * * [simplify]: iters left: 5 (39 enodes) 5.278 * * [simplify]: iters left: 4 (57 enodes) 5.287 * * [simplify]: iters left: 3 (64 enodes) 5.298 * * [simplify]: iters left: 2 (67 enodes) 5.318 * * [simplify]: Extracting #0: cost 1 inf + 0 5.318 * * [simplify]: Extracting #1: cost 3 inf + 0 5.318 * * [simplify]: Extracting #2: cost 6 inf + 0 5.318 * * [simplify]: Extracting #3: cost 16 inf + 0 5.318 * * [simplify]: Extracting #4: cost 26 inf + 0 5.318 * * [simplify]: Extracting #5: cost 26 inf + 82 5.318 * * [simplify]: Extracting #6: cost 22 inf + 406 5.319 * * [simplify]: Extracting #7: cost 13 inf + 1864 5.320 * * [simplify]: Extracting #8: cost 1 inf + 5198 5.321 * * [simplify]: Extracting #9: cost 0 inf + 5550 5.323 * [simplify]: Simplified to (log (fabs (/ (cbrt (+ 1 N)) (cbrt N)))) 5.323 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (fabs (/ (cbrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1)) (cbrt N))))))) 5.323 * * * * [progress]: [ 5 / 134 ] simplifiying candidate # 5.323 * [simplify]: Simplifying (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)))) 5.323 * * [simplify]: iters left: 6 (9 enodes) 5.327 * * [simplify]: iters left: 5 (32 enodes) 5.337 * * [simplify]: iters left: 4 (38 enodes) 5.347 * * [simplify]: iters left: 3 (41 enodes) 5.358 * * [simplify]: Extracting #0: cost 1 inf + 0 5.358 * * [simplify]: Extracting #1: cost 3 inf + 0 5.358 * * [simplify]: Extracting #2: cost 5 inf + 0 5.359 * * [simplify]: Extracting #3: cost 11 inf + 0 5.359 * * [simplify]: Extracting #4: cost 18 inf + 0 5.359 * * [simplify]: Extracting #5: cost 17 inf + 83 5.359 * * [simplify]: Extracting #6: cost 16 inf + 84 5.359 * * [simplify]: Extracting #7: cost 11 inf + 694 5.360 * * [simplify]: Extracting #8: cost 4 inf + 2148 5.361 * * [simplify]: Extracting #9: cost 0 inf + 3296 5.361 * [simplify]: Simplified to (log (sqrt (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N))))) 5.361 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (sqrt (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N))))) (log (sqrt (/ (cbrt (+ N 1)) (sqrt N))))))) 5.362 * * * * [progress]: [ 6 / 134 ] simplifiying candidate # 5.362 * [simplify]: Simplifying (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1))) 5.362 * * [simplify]: iters left: 6 (8 enodes) 5.366 * * [simplify]: iters left: 5 (27 enodes) 5.375 * * [simplify]: iters left: 4 (38 enodes) 5.386 * * [simplify]: iters left: 3 (39 enodes) 5.395 * * [simplify]: Extracting #0: cost 1 inf + 0 5.396 * * [simplify]: Extracting #1: cost 3 inf + 0 5.396 * * [simplify]: Extracting #2: cost 6 inf + 0 5.396 * * [simplify]: Extracting #3: cost 11 inf + 0 5.396 * * [simplify]: Extracting #4: cost 13 inf + 1 5.396 * * [simplify]: Extracting #5: cost 12 inf + 2 5.396 * * [simplify]: Extracting #6: cost 8 inf + 370 5.396 * * [simplify]: Extracting #7: cost 2 inf + 1372 5.397 * * [simplify]: Extracting #8: cost 0 inf + 1766 5.397 * [simplify]: Simplified to (log (fabs (cbrt (+ 1 N)))) 5.397 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (fabs (cbrt (+ 1 N)))) (log (sqrt (/ (cbrt (+ N 1)) N)))))) 5.398 * * * * [progress]: [ 7 / 134 ] simplifiying candidate # 5.398 * [simplify]: Simplifying (log (sqrt (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))))) 5.398 * * [simplify]: iters left: 6 (9 enodes) 5.403 * * [simplify]: iters left: 5 (32 enodes) 5.412 * * [simplify]: iters left: 4 (36 enodes) 5.417 * * [simplify]: Extracting #0: cost 1 inf + 0 5.417 * * [simplify]: Extracting #1: cost 3 inf + 0 5.417 * * [simplify]: Extracting #2: cost 5 inf + 0 5.417 * * [simplify]: Extracting #3: cost 10 inf + 0 5.417 * * [simplify]: Extracting #4: cost 16 inf + 0 5.417 * * [simplify]: Extracting #5: cost 17 inf + 1 5.418 * * [simplify]: Extracting #6: cost 13 inf + 325 5.418 * * [simplify]: Extracting #7: cost 7 inf + 976 5.418 * * [simplify]: Extracting #8: cost 3 inf + 1824 5.418 * * [simplify]: Extracting #9: cost 0 inf + 2810 5.419 * [simplify]: Simplified to (log (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))))) 5.419 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1)) (cbrt N))))))) 5.419 * * * * [progress]: [ 8 / 134 ] simplifiying candidate # 5.419 * [simplify]: Simplifying (log (sqrt (/ (sqrt (+ N 1)) (sqrt N)))) 5.419 * * [simplify]: iters left: 6 (8 enodes) 5.421 * * [simplify]: iters left: 5 (27 enodes) 5.426 * * [simplify]: iters left: 4 (29 enodes) 5.431 * * [simplify]: Extracting #0: cost 1 inf + 0 5.431 * * [simplify]: Extracting #1: cost 3 inf + 0 5.431 * * [simplify]: Extracting #2: cost 5 inf + 0 5.431 * * [simplify]: Extracting #3: cost 8 inf + 0 5.431 * * [simplify]: Extracting #4: cost 12 inf + 0 5.431 * * [simplify]: Extracting #5: cost 13 inf + 1 5.431 * * [simplify]: Extracting #6: cost 10 inf + 84 5.431 * * [simplify]: Extracting #7: cost 6 inf + 412 5.431 * * [simplify]: Extracting #8: cost 1 inf + 1332 5.431 * * [simplify]: Extracting #9: cost 0 inf + 1604 5.432 * [simplify]: Simplified to (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) 5.432 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (sqrt N))))))) 5.432 * * * * [progress]: [ 9 / 134 ] simplifiying candidate # 5.432 * [simplify]: Simplifying (log (sqrt (/ (sqrt (+ N 1)) 1))) 5.432 * * [simplify]: iters left: 6 (7 enodes) 5.434 * * [simplify]: iters left: 5 (22 enodes) 5.438 * * [simplify]: iters left: 4 (24 enodes) 5.441 * * [simplify]: Extracting #0: cost 1 inf + 0 5.441 * * [simplify]: Extracting #1: cost 3 inf + 0 5.441 * * [simplify]: Extracting #2: cost 5 inf + 0 5.441 * * [simplify]: Extracting #3: cost 8 inf + 0 5.441 * * [simplify]: Extracting #4: cost 9 inf + 1 5.441 * * [simplify]: Extracting #5: cost 8 inf + 2 5.441 * * [simplify]: Extracting #6: cost 1 inf + 686 5.443 * * [simplify]: Extracting #7: cost 0 inf + 878 5.443 * [simplify]: Simplified to (log (sqrt (sqrt (+ 1 N)))) 5.443 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (/ (sqrt (+ N 1)) N)))))) 5.443 * * * * [progress]: [ 10 / 134 ] simplifiying candidate # 5.444 * [simplify]: Simplifying (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) 5.444 * * [simplify]: iters left: 6 (7 enodes) 5.446 * * [simplify]: iters left: 5 (25 enodes) 5.450 * * [simplify]: iters left: 4 (29 enodes) 5.457 * * [simplify]: Extracting #0: cost 1 inf + 0 5.457 * * [simplify]: Extracting #1: cost 3 inf + 0 5.457 * * [simplify]: Extracting #2: cost 5 inf + 0 5.457 * * [simplify]: Extracting #3: cost 10 inf + 0 5.457 * * [simplify]: Extracting #4: cost 13 inf + 1 5.457 * * [simplify]: Extracting #5: cost 12 inf + 2 5.457 * * [simplify]: Extracting #6: cost 7 inf + 528 5.458 * * [simplify]: Extracting #7: cost 4 inf + 1014 5.458 * * [simplify]: Extracting #8: cost 1 inf + 1650 5.459 * * [simplify]: Extracting #9: cost 0 inf + 1922 5.459 * [simplify]: Simplified to (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) 5.459 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1) (cbrt N))))))) 5.459 * * * * [progress]: [ 11 / 134 ] simplifiying candidate # 5.460 * [simplify]: Simplifying (log (sqrt (/ 1 (sqrt N)))) 5.460 * * [simplify]: iters left: 5 (6 enodes) 5.463 * * [simplify]: iters left: 4 (20 enodes) 5.470 * * [simplify]: iters left: 3 (22 enodes) 5.477 * * [simplify]: Extracting #0: cost 1 inf + 0 5.477 * * [simplify]: Extracting #1: cost 3 inf + 0 5.477 * * [simplify]: Extracting #2: cost 5 inf + 0 5.477 * * [simplify]: Extracting #3: cost 8 inf + 0 5.477 * * [simplify]: Extracting #4: cost 9 inf + 1 5.477 * * [simplify]: Extracting #5: cost 8 inf + 2 5.478 * * [simplify]: Extracting #6: cost 1 inf + 684 5.478 * * [simplify]: Extracting #7: cost 0 inf + 876 5.478 * [simplify]: Simplified to (log (sqrt (/ 1 (sqrt N)))) 5.478 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1) (sqrt N))))))) 5.478 * * * * [progress]: [ 12 / 134 ] simplifiying candidate # 5.479 * [simplify]: Simplifying (log (sqrt (/ 1 1))) 5.479 * * [simplify]: iters left: 4 (4 enodes) 5.484 * * [simplify]: iters left: 3 (12 enodes) 5.487 * * [simplify]: Extracting #0: cost 1 inf + 0 5.487 * * [simplify]: Extracting #1: cost 0 inf + 1 5.487 * [simplify]: Simplified to 0 5.487 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ 0 (log (sqrt (/ (+ N 1) N)))))) 5.487 * * * * [progress]: [ 13 / 134 ] simplifiying candidate # 5.488 * [simplify]: Simplifying (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) 5.488 * * [simplify]: iters left: 6 (7 enodes) 5.492 * * [simplify]: iters left: 5 (25 enodes) 5.500 * * [simplify]: iters left: 4 (29 enodes) 5.508 * * [simplify]: Extracting #0: cost 1 inf + 0 5.508 * * [simplify]: Extracting #1: cost 3 inf + 0 5.508 * * [simplify]: Extracting #2: cost 5 inf + 0 5.508 * * [simplify]: Extracting #3: cost 10 inf + 0 5.508 * * [simplify]: Extracting #4: cost 13 inf + 1 5.508 * * [simplify]: Extracting #5: cost 12 inf + 2 5.508 * * [simplify]: Extracting #6: cost 7 inf + 528 5.509 * * [simplify]: Extracting #7: cost 4 inf + 1014 5.509 * * [simplify]: Extracting #8: cost 1 inf + 1650 5.510 * * [simplify]: Extracting #9: cost 0 inf + 1922 5.510 * [simplify]: Simplified to (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) 5.510 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1) (cbrt N))))))) 5.510 * * * * [progress]: [ 14 / 134 ] simplifiying candidate # 5.511 * [simplify]: Simplifying (log (sqrt (/ 1 (sqrt N)))) 5.511 * * [simplify]: iters left: 5 (6 enodes) 5.514 * * [simplify]: iters left: 4 (20 enodes) 5.520 * * [simplify]: iters left: 3 (22 enodes) 5.527 * * [simplify]: Extracting #0: cost 1 inf + 0 5.527 * * [simplify]: Extracting #1: cost 3 inf + 0 5.527 * * [simplify]: Extracting #2: cost 5 inf + 0 5.527 * * [simplify]: Extracting #3: cost 8 inf + 0 5.527 * * [simplify]: Extracting #4: cost 9 inf + 1 5.527 * * [simplify]: Extracting #5: cost 8 inf + 2 5.527 * * [simplify]: Extracting #6: cost 1 inf + 684 5.528 * * [simplify]: Extracting #7: cost 0 inf + 876 5.528 * [simplify]: Simplified to (log (sqrt (/ 1 (sqrt N)))) 5.528 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1) (sqrt N))))))) 5.528 * * * * [progress]: [ 15 / 134 ] simplifiying candidate # 5.528 * [simplify]: Simplifying (log (sqrt (/ 1 1))) 5.529 * * [simplify]: iters left: 4 (4 enodes) 5.533 * * [simplify]: iters left: 3 (12 enodes) 5.536 * * [simplify]: Extracting #0: cost 1 inf + 0 5.536 * * [simplify]: Extracting #1: cost 0 inf + 1 5.536 * [simplify]: Simplified to 0 5.536 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ 0 (log (sqrt (/ (+ N 1) N)))))) 5.536 * * * * [progress]: [ 16 / 134 ] simplifiying candidate # 5.537 * [simplify]: Simplifying (log (sqrt 1)) 5.537 * * [simplify]: iters left: 2 (3 enodes) 5.541 * * [simplify]: iters left: 1 (11 enodes) 5.543 * * [simplify]: Extracting #0: cost 1 inf + 0 5.544 * * [simplify]: Extracting #1: cost 0 inf + 1 5.544 * [simplify]: Simplified to 0 5.544 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ 0 (log (sqrt (/ (+ N 1) N)))))) 5.544 * * * * [progress]: [ 17 / 134 ] simplifiying candidate # 5.544 * [simplify]: Simplifying (log (sqrt (+ N 1))) 5.544 * * [simplify]: iters left: 4 (5 enodes) 5.547 * * [simplify]: iters left: 3 (18 enodes) 5.552 * * [simplify]: iters left: 2 (20 enodes) 5.558 * * [simplify]: Extracting #0: cost 1 inf + 0 5.558 * * [simplify]: Extracting #1: cost 3 inf + 0 5.558 * * [simplify]: Extracting #2: cost 5 inf + 0 5.558 * * [simplify]: Extracting #3: cost 8 inf + 0 5.558 * * [simplify]: Extracting #4: cost 6 inf + 2 5.558 * * [simplify]: Extracting #5: cost 0 inf + 554 5.559 * [simplify]: Simplified to (log (sqrt (+ 1 N))) 5.559 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (sqrt (+ 1 N))) (log (sqrt (/ 1 N)))))) 5.559 * * * * [progress]: [ 18 / 134 ] simplifiying candidate # 5.559 * [simplify]: Simplifying (log (sqrt (sqrt (/ (+ N 1) N)))) 5.559 * * [simplify]: iters left: 6 (7 enodes) 5.561 * * [simplify]: iters left: 5 (24 enodes) 5.565 * * [simplify]: iters left: 4 (26 enodes) 5.569 * * [simplify]: Extracting #0: cost 1 inf + 0 5.569 * * [simplify]: Extracting #1: cost 3 inf + 0 5.569 * * [simplify]: Extracting #2: cost 5 inf + 0 5.569 * * [simplify]: Extracting #3: cost 7 inf + 0 5.569 * * [simplify]: Extracting #4: cost 10 inf + 0 5.569 * * [simplify]: Extracting #5: cost 11 inf + 1 5.569 * * [simplify]: Extracting #6: cost 10 inf + 2 5.569 * * [simplify]: Extracting #7: cost 6 inf + 250 5.569 * * [simplify]: Extracting #8: cost 2 inf + 888 5.569 * * [simplify]: Extracting #9: cost 0 inf + 1282 5.570 * [simplify]: Simplified to (log (sqrt (sqrt (/ (+ 1 N) N)))) 5.570 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ N 1) N))))))) 5.570 * * * * [progress]: [ 19 / 134 ] simplifiying candidate # 5.570 * [simplify]: Simplifying (log 1) 5.570 * * [simplify]: iters left: 1 (2 enodes) 5.571 * * [simplify]: Extracting #0: cost 1 inf + 0 5.571 * * [simplify]: Extracting #1: cost 0 inf + 1 5.571 * [simplify]: Simplified to 0 5.571 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ 0 (log (sqrt (/ (+ N 1) N)))))) 5.571 * * * * [progress]: [ 20 / 134 ] simplifiying candidate # 5.572 * [simplify]: Simplifying (log (sqrt (+ N 1))) 5.572 * * [simplify]: iters left: 4 (5 enodes) 5.573 * * [simplify]: iters left: 3 (18 enodes) 5.576 * * [simplify]: iters left: 2 (20 enodes) 5.580 * * [simplify]: Extracting #0: cost 1 inf + 0 5.580 * * [simplify]: Extracting #1: cost 3 inf + 0 5.580 * * [simplify]: Extracting #2: cost 5 inf + 0 5.580 * * [simplify]: Extracting #3: cost 8 inf + 0 5.580 * * [simplify]: Extracting #4: cost 6 inf + 2 5.580 * * [simplify]: Extracting #5: cost 0 inf + 554 5.580 * [simplify]: Simplified to (log (sqrt (+ 1 N))) 5.580 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (- (log (sqrt (+ 1 N))) (log (sqrt N))))) 5.581 * * * * [progress]: [ 21 / 134 ] simplifiying candidate # 5.581 * * * * [progress]: [ 22 / 134 ] simplifiying candidate # 5.581 * * * * [progress]: [ 23 / 134 ] simplifiying candidate # 5.581 * [simplify]: Simplifying (/ 1 2) 5.581 * * [simplify]: iters left: 2 (3 enodes) 5.583 * * [simplify]: iters left: 1 (12 enodes) 5.585 * * [simplify]: Extracting #0: cost 1 inf + 0 5.585 * * [simplify]: Extracting #1: cost 0 inf + 1 5.585 * [simplify]: Simplified to 1/2 5.585 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (* 1/2 (log (/ (+ N 1) N))))) 5.585 * * * * [progress]: [ 24 / 134 ] simplifiying candidate # 5.585 * * * * [progress]: [ 25 / 134 ] simplifiying candidate # 5.585 * [simplify]: Simplifying (sqrt (/ (+ N 1) N)) 5.585 * * [simplify]: iters left: 5 (5 enodes) 5.587 * * [simplify]: iters left: 4 (18 enodes) 5.592 * * [simplify]: iters left: 3 (20 enodes) 5.598 * * [simplify]: Extracting #0: cost 1 inf + 0 5.598 * * [simplify]: Extracting #1: cost 3 inf + 0 5.598 * * [simplify]: Extracting #2: cost 6 inf + 0 5.598 * * [simplify]: Extracting #3: cost 7 inf + 1 5.598 * * [simplify]: Extracting #4: cost 0 inf + 494 5.599 * [simplify]: Simplified to (sqrt (/ (+ 1 N) N)) 5.599 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) 5.599 * * * * [progress]: [ 26 / 134 ] simplifiying candidate # 5.599 * * * * [progress]: [ 27 / 134 ] simplifiying candidate # 5.599 * * * * [progress]: [ 28 / 134 ] simplifiying candidate # 5.599 * * * * [progress]: [ 29 / 134 ] simplifiying candidate # 5.599 * * * * [progress]: [ 30 / 134 ] simplifiying candidate # 5.599 * * * * [progress]: [ 31 / 134 ] simplifiying candidate # 5.599 * * * * [progress]: [ 32 / 134 ] simplifiying candidate #real (real->posit16 (log (sqrt (/ (+ N 1) N)))))))> 5.599 * * * * [progress]: [ 33 / 134 ] simplifiying candidate # 5.600 * [simplify]: Simplifying (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 5.600 * * [simplify]: iters left: 6 (8 enodes) 5.604 * * [simplify]: iters left: 5 (29 enodes) 5.608 * * [simplify]: iters left: 4 (33 enodes) 5.612 * * [simplify]: Extracting #0: cost 1 inf + 0 5.612 * * [simplify]: Extracting #1: cost 4 inf + 0 5.612 * * [simplify]: Extracting #2: cost 7 inf + 0 5.613 * * [simplify]: Extracting #3: cost 9 inf + 0 5.613 * * [simplify]: Extracting #4: cost 11 inf + 0 5.613 * * [simplify]: Extracting #5: cost 14 inf + 0 5.613 * * [simplify]: Extracting #6: cost 15 inf + 1 5.613 * * [simplify]: Extracting #7: cost 14 inf + 2 5.613 * * [simplify]: Extracting #8: cost 11 inf + 168 5.613 * * [simplify]: Extracting #9: cost 7 inf + 696 5.613 * * [simplify]: Extracting #10: cost 0 inf + 2550 5.613 * [simplify]: Simplified to (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 5.614 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (+ (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) (log (cbrt (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 5.614 * * * * [progress]: [ 34 / 134 ] simplifiying candidate # 5.614 * [simplify]: Simplifying (log (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))))) 5.614 * * [simplify]: iters left: 6 (8 enodes) 5.616 * * [simplify]: iters left: 5 (28 enodes) 5.620 * * [simplify]: iters left: 4 (30 enodes) 5.624 * * [simplify]: Extracting #0: cost 1 inf + 0 5.625 * * [simplify]: Extracting #1: cost 3 inf + 0 5.625 * * [simplify]: Extracting #2: cost 6 inf + 0 5.625 * * [simplify]: Extracting #3: cost 9 inf + 0 5.625 * * [simplify]: Extracting #4: cost 12 inf + 0 5.625 * * [simplify]: Extracting #5: cost 13 inf + 1 5.625 * * [simplify]: Extracting #6: cost 12 inf + 2 5.625 * * [simplify]: Extracting #7: cost 8 inf + 250 5.625 * * [simplify]: Extracting #8: cost 4 inf + 1088 5.626 * * [simplify]: Extracting #9: cost 0 inf + 1926 5.627 * [simplify]: Simplified to (log (fabs (cbrt (/ (+ 1 N) N)))) 5.627 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (+ (log (fabs (cbrt (/ (+ 1 N) N)))) (log (sqrt (cbrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 5.627 * * * * [progress]: [ 35 / 134 ] simplifiying candidate # 5.627 * [simplify]: Simplifying (log (sqrt (sqrt (/ (+ N 1) N)))) 5.628 * * [simplify]: iters left: 6 (7 enodes) 5.631 * * [simplify]: iters left: 5 (24 enodes) 5.638 * * [simplify]: iters left: 4 (26 enodes) 5.646 * * [simplify]: Extracting #0: cost 1 inf + 0 5.646 * * [simplify]: Extracting #1: cost 3 inf + 0 5.646 * * [simplify]: Extracting #2: cost 5 inf + 0 5.646 * * [simplify]: Extracting #3: cost 7 inf + 0 5.646 * * [simplify]: Extracting #4: cost 10 inf + 0 5.646 * * [simplify]: Extracting #5: cost 11 inf + 1 5.646 * * [simplify]: Extracting #6: cost 10 inf + 2 5.647 * * [simplify]: Extracting #7: cost 6 inf + 250 5.647 * * [simplify]: Extracting #8: cost 2 inf + 888 5.647 * * [simplify]: Extracting #9: cost 0 inf + 1282 5.648 * [simplify]: Simplified to (log (sqrt (sqrt (/ (+ 1 N) N)))) 5.648 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 5.648 * * * * [progress]: [ 36 / 134 ] simplifiying candidate # 5.648 * [simplify]: Simplifying (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))))) 5.648 * * [simplify]: iters left: 6 (10 enodes) 5.654 * * [simplify]: iters left: 5 (39 enodes) 5.667 * * [simplify]: iters left: 4 (57 enodes) 5.684 * * [simplify]: iters left: 3 (64 enodes) 5.701 * * [simplify]: iters left: 2 (67 enodes) 5.711 * * [simplify]: Extracting #0: cost 1 inf + 0 5.711 * * [simplify]: Extracting #1: cost 3 inf + 0 5.711 * * [simplify]: Extracting #2: cost 6 inf + 0 5.711 * * [simplify]: Extracting #3: cost 16 inf + 0 5.712 * * [simplify]: Extracting #4: cost 26 inf + 0 5.712 * * [simplify]: Extracting #5: cost 26 inf + 82 5.712 * * [simplify]: Extracting #6: cost 22 inf + 406 5.712 * * [simplify]: Extracting #7: cost 13 inf + 1864 5.713 * * [simplify]: Extracting #8: cost 1 inf + 5198 5.713 * * [simplify]: Extracting #9: cost 0 inf + 5550 5.714 * [simplify]: Simplified to (log (fabs (/ (cbrt (+ 1 N)) (cbrt N)))) 5.714 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (+ (log (fabs (/ (cbrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1)) (cbrt N))))) (log (sqrt (/ (+ N 1) N))))) 5.714 * * * * [progress]: [ 37 / 134 ] simplifiying candidate # 5.714 * [simplify]: Simplifying (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)))) 5.714 * * [simplify]: iters left: 6 (9 enodes) 5.717 * * [simplify]: iters left: 5 (32 enodes) 5.722 * * [simplify]: iters left: 4 (38 enodes) 5.727 * * [simplify]: iters left: 3 (41 enodes) 5.733 * * [simplify]: Extracting #0: cost 1 inf + 0 5.733 * * [simplify]: Extracting #1: cost 3 inf + 0 5.733 * * [simplify]: Extracting #2: cost 5 inf + 0 5.733 * * [simplify]: Extracting #3: cost 11 inf + 0 5.733 * * [simplify]: Extracting #4: cost 18 inf + 0 5.733 * * [simplify]: Extracting #5: cost 17 inf + 83 5.733 * * [simplify]: Extracting #6: cost 16 inf + 84 5.733 * * [simplify]: Extracting #7: cost 11 inf + 694 5.734 * * [simplify]: Extracting #8: cost 4 inf + 2148 5.734 * * [simplify]: Extracting #9: cost 0 inf + 3296 5.735 * [simplify]: Simplified to (log (sqrt (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N))))) 5.735 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N))))) (log (sqrt (/ (cbrt (+ N 1)) (sqrt N))))) (log (sqrt (/ (+ N 1) N))))) 5.735 * * * * [progress]: [ 38 / 134 ] simplifiying candidate # 5.735 * [simplify]: Simplifying (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1))) 5.735 * * [simplify]: iters left: 6 (8 enodes) 5.737 * * [simplify]: iters left: 5 (27 enodes) 5.743 * * [simplify]: iters left: 4 (38 enodes) 5.754 * * [simplify]: iters left: 3 (39 enodes) 5.764 * * [simplify]: Extracting #0: cost 1 inf + 0 5.764 * * [simplify]: Extracting #1: cost 3 inf + 0 5.764 * * [simplify]: Extracting #2: cost 6 inf + 0 5.764 * * [simplify]: Extracting #3: cost 11 inf + 0 5.764 * * [simplify]: Extracting #4: cost 13 inf + 1 5.764 * * [simplify]: Extracting #5: cost 12 inf + 2 5.765 * * [simplify]: Extracting #6: cost 8 inf + 370 5.765 * * [simplify]: Extracting #7: cost 2 inf + 1372 5.765 * * [simplify]: Extracting #8: cost 0 inf + 1766 5.766 * [simplify]: Simplified to (log (fabs (cbrt (+ 1 N)))) 5.766 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (+ (log (fabs (cbrt (+ 1 N)))) (log (sqrt (/ (cbrt (+ N 1)) N)))) (log (sqrt (/ (+ N 1) N))))) 5.766 * * * * [progress]: [ 39 / 134 ] simplifiying candidate # 5.767 * [simplify]: Simplifying (log (sqrt (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))))) 5.767 * * [simplify]: iters left: 6 (9 enodes) 5.771 * * [simplify]: iters left: 5 (32 enodes) 5.781 * * [simplify]: iters left: 4 (36 enodes) 5.792 * * [simplify]: Extracting #0: cost 1 inf + 0 5.792 * * [simplify]: Extracting #1: cost 3 inf + 0 5.792 * * [simplify]: Extracting #2: cost 5 inf + 0 5.792 * * [simplify]: Extracting #3: cost 10 inf + 0 5.792 * * [simplify]: Extracting #4: cost 16 inf + 0 5.792 * * [simplify]: Extracting #5: cost 17 inf + 1 5.792 * * [simplify]: Extracting #6: cost 13 inf + 325 5.793 * * [simplify]: Extracting #7: cost 7 inf + 976 5.793 * * [simplify]: Extracting #8: cost 3 inf + 1824 5.793 * * [simplify]: Extracting #9: cost 0 inf + 2810 5.794 * [simplify]: Simplified to (log (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))))) 5.794 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1)) (cbrt N))))) (log (sqrt (/ (+ N 1) N))))) 5.794 * * * * [progress]: [ 40 / 134 ] simplifiying candidate # 5.794 * [simplify]: Simplifying (log (sqrt (/ (sqrt (+ N 1)) (sqrt N)))) 5.795 * * [simplify]: iters left: 6 (8 enodes) 5.799 * * [simplify]: iters left: 5 (27 enodes) 5.807 * * [simplify]: iters left: 4 (29 enodes) 5.815 * * [simplify]: Extracting #0: cost 1 inf + 0 5.816 * * [simplify]: Extracting #1: cost 3 inf + 0 5.816 * * [simplify]: Extracting #2: cost 5 inf + 0 5.816 * * [simplify]: Extracting #3: cost 8 inf + 0 5.816 * * [simplify]: Extracting #4: cost 12 inf + 0 5.816 * * [simplify]: Extracting #5: cost 13 inf + 1 5.816 * * [simplify]: Extracting #6: cost 10 inf + 84 5.816 * * [simplify]: Extracting #7: cost 6 inf + 412 5.816 * * [simplify]: Extracting #8: cost 1 inf + 1332 5.817 * * [simplify]: Extracting #9: cost 0 inf + 1604 5.817 * [simplify]: Simplified to (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) 5.818 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (sqrt N))))) (log (sqrt (/ (+ N 1) N))))) 5.818 * * * * [progress]: [ 41 / 134 ] simplifiying candidate # 5.818 * [simplify]: Simplifying (log (sqrt (/ (sqrt (+ N 1)) 1))) 5.818 * * [simplify]: iters left: 6 (7 enodes) 5.822 * * [simplify]: iters left: 5 (22 enodes) 5.826 * * [simplify]: iters left: 4 (24 enodes) 5.830 * * [simplify]: Extracting #0: cost 1 inf + 0 5.830 * * [simplify]: Extracting #1: cost 3 inf + 0 5.830 * * [simplify]: Extracting #2: cost 5 inf + 0 5.830 * * [simplify]: Extracting #3: cost 8 inf + 0 5.830 * * [simplify]: Extracting #4: cost 9 inf + 1 5.830 * * [simplify]: Extracting #5: cost 8 inf + 2 5.830 * * [simplify]: Extracting #6: cost 1 inf + 686 5.832 * * [simplify]: Extracting #7: cost 0 inf + 878 5.832 * [simplify]: Simplified to (log (sqrt (sqrt (+ 1 N)))) 5.832 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (/ (sqrt (+ N 1)) N)))) (log (sqrt (/ (+ N 1) N))))) 5.832 * * * * [progress]: [ 42 / 134 ] simplifiying candidate # 5.832 * [simplify]: Simplifying (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) 5.832 * * [simplify]: iters left: 6 (7 enodes) 5.835 * * [simplify]: iters left: 5 (25 enodes) 5.839 * * [simplify]: iters left: 4 (29 enodes) 5.843 * * [simplify]: Extracting #0: cost 1 inf + 0 5.843 * * [simplify]: Extracting #1: cost 3 inf + 0 5.843 * * [simplify]: Extracting #2: cost 5 inf + 0 5.844 * * [simplify]: Extracting #3: cost 10 inf + 0 5.844 * * [simplify]: Extracting #4: cost 13 inf + 1 5.844 * * [simplify]: Extracting #5: cost 12 inf + 2 5.844 * * [simplify]: Extracting #6: cost 7 inf + 528 5.844 * * [simplify]: Extracting #7: cost 4 inf + 1014 5.844 * * [simplify]: Extracting #8: cost 1 inf + 1650 5.844 * * [simplify]: Extracting #9: cost 0 inf + 1922 5.845 * [simplify]: Simplified to (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) 5.845 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1) (cbrt N))))) (log (sqrt (/ (+ N 1) N))))) 5.845 * * * * [progress]: [ 43 / 134 ] simplifiying candidate # 5.845 * [simplify]: Simplifying (log (sqrt (/ 1 (sqrt N)))) 5.845 * * [simplify]: iters left: 5 (6 enodes) 5.846 * * [simplify]: iters left: 4 (20 enodes) 5.850 * * [simplify]: iters left: 3 (22 enodes) 5.854 * * [simplify]: Extracting #0: cost 1 inf + 0 5.855 * * [simplify]: Extracting #1: cost 3 inf + 0 5.855 * * [simplify]: Extracting #2: cost 5 inf + 0 5.855 * * [simplify]: Extracting #3: cost 8 inf + 0 5.855 * * [simplify]: Extracting #4: cost 9 inf + 1 5.855 * * [simplify]: Extracting #5: cost 8 inf + 2 5.855 * * [simplify]: Extracting #6: cost 1 inf + 684 5.855 * * [simplify]: Extracting #7: cost 0 inf + 876 5.856 * [simplify]: Simplified to (log (sqrt (/ 1 (sqrt N)))) 5.856 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1) (sqrt N))))) (log (sqrt (/ (+ N 1) N))))) 5.856 * * * * [progress]: [ 44 / 134 ] simplifiying candidate # 5.856 * [simplify]: Simplifying (log (sqrt (/ 1 1))) 5.856 * * [simplify]: iters left: 4 (4 enodes) 5.861 * * [simplify]: iters left: 3 (12 enodes) 5.864 * * [simplify]: Extracting #0: cost 1 inf + 0 5.864 * * [simplify]: Extracting #1: cost 0 inf + 1 5.864 * [simplify]: Simplified to 0 5.864 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (+ 0 (log (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N))))) 5.864 * * * * [progress]: [ 45 / 134 ] simplifiying candidate # 5.864 * [simplify]: Simplifying (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) 5.864 * * [simplify]: iters left: 6 (7 enodes) 5.866 * * [simplify]: iters left: 5 (25 enodes) 5.870 * * [simplify]: iters left: 4 (29 enodes) 5.875 * * [simplify]: Extracting #0: cost 1 inf + 0 5.875 * * [simplify]: Extracting #1: cost 3 inf + 0 5.875 * * [simplify]: Extracting #2: cost 5 inf + 0 5.875 * * [simplify]: Extracting #3: cost 10 inf + 0 5.875 * * [simplify]: Extracting #4: cost 13 inf + 1 5.875 * * [simplify]: Extracting #5: cost 12 inf + 2 5.875 * * [simplify]: Extracting #6: cost 7 inf + 528 5.876 * * [simplify]: Extracting #7: cost 4 inf + 1014 5.876 * * [simplify]: Extracting #8: cost 1 inf + 1650 5.876 * * [simplify]: Extracting #9: cost 0 inf + 1922 5.876 * [simplify]: Simplified to (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) 5.876 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1) (cbrt N))))) (log (sqrt (/ (+ N 1) N))))) 5.876 * * * * [progress]: [ 46 / 134 ] simplifiying candidate # 5.877 * [simplify]: Simplifying (log (sqrt (/ 1 (sqrt N)))) 5.877 * * [simplify]: iters left: 5 (6 enodes) 5.878 * * [simplify]: iters left: 4 (20 enodes) 5.882 * * [simplify]: iters left: 3 (22 enodes) 5.885 * * [simplify]: Extracting #0: cost 1 inf + 0 5.885 * * [simplify]: Extracting #1: cost 3 inf + 0 5.885 * * [simplify]: Extracting #2: cost 5 inf + 0 5.885 * * [simplify]: Extracting #3: cost 8 inf + 0 5.885 * * [simplify]: Extracting #4: cost 9 inf + 1 5.885 * * [simplify]: Extracting #5: cost 8 inf + 2 5.885 * * [simplify]: Extracting #6: cost 1 inf + 684 5.885 * * [simplify]: Extracting #7: cost 0 inf + 876 5.886 * [simplify]: Simplified to (log (sqrt (/ 1 (sqrt N)))) 5.886 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1) (sqrt N))))) (log (sqrt (/ (+ N 1) N))))) 5.886 * * * * [progress]: [ 47 / 134 ] simplifiying candidate # 5.886 * [simplify]: Simplifying (log (sqrt (/ 1 1))) 5.886 * * [simplify]: iters left: 4 (4 enodes) 5.889 * * [simplify]: iters left: 3 (12 enodes) 5.890 * * [simplify]: Extracting #0: cost 1 inf + 0 5.890 * * [simplify]: Extracting #1: cost 0 inf + 1 5.890 * [simplify]: Simplified to 0 5.890 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (+ 0 (log (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N))))) 5.890 * * * * [progress]: [ 48 / 134 ] simplifiying candidate # 5.890 * [simplify]: Simplifying (log (sqrt 1)) 5.890 * * [simplify]: iters left: 2 (3 enodes) 5.893 * * [simplify]: iters left: 1 (11 enodes) 5.894 * * [simplify]: Extracting #0: cost 1 inf + 0 5.894 * * [simplify]: Extracting #1: cost 0 inf + 1 5.894 * [simplify]: Simplified to 0 5.894 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (+ 0 (log (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N))))) 5.894 * * * * [progress]: [ 49 / 134 ] simplifiying candidate # 5.895 * [simplify]: Simplifying (log (sqrt (+ N 1))) 5.895 * * [simplify]: iters left: 4 (5 enodes) 5.896 * * [simplify]: iters left: 3 (18 enodes) 5.899 * * [simplify]: iters left: 2 (20 enodes) 5.903 * * [simplify]: Extracting #0: cost 1 inf + 0 5.903 * * [simplify]: Extracting #1: cost 3 inf + 0 5.904 * * [simplify]: Extracting #2: cost 5 inf + 0 5.904 * * [simplify]: Extracting #3: cost 8 inf + 0 5.904 * * [simplify]: Extracting #4: cost 6 inf + 2 5.904 * * [simplify]: Extracting #5: cost 0 inf + 554 5.904 * [simplify]: Simplified to (log (sqrt (+ 1 N))) 5.904 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (+ 1 N))) (log (sqrt (/ 1 N)))) (log (sqrt (/ (+ N 1) N))))) 5.904 * * * * [progress]: [ 50 / 134 ] simplifiying candidate # 5.904 * [simplify]: Simplifying (log (sqrt (sqrt (/ (+ N 1) N)))) 5.905 * * [simplify]: iters left: 6 (7 enodes) 5.908 * * [simplify]: iters left: 5 (24 enodes) 5.914 * * [simplify]: iters left: 4 (26 enodes) 5.921 * * [simplify]: Extracting #0: cost 1 inf + 0 5.921 * * [simplify]: Extracting #1: cost 3 inf + 0 5.921 * * [simplify]: Extracting #2: cost 5 inf + 0 5.921 * * [simplify]: Extracting #3: cost 7 inf + 0 5.921 * * [simplify]: Extracting #4: cost 10 inf + 0 5.921 * * [simplify]: Extracting #5: cost 11 inf + 1 5.922 * * [simplify]: Extracting #6: cost 10 inf + 2 5.922 * * [simplify]: Extracting #7: cost 6 inf + 250 5.922 * * [simplify]: Extracting #8: cost 2 inf + 888 5.922 * * [simplify]: Extracting #9: cost 0 inf + 1282 5.923 * [simplify]: Simplified to (log (sqrt (sqrt (/ (+ 1 N) N)))) 5.923 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 5.923 * * * * [progress]: [ 51 / 134 ] simplifiying candidate # 5.923 * [simplify]: Simplifying (log 1) 5.923 * * [simplify]: iters left: 1 (2 enodes) 5.925 * * [simplify]: Extracting #0: cost 1 inf + 0 5.925 * * [simplify]: Extracting #1: cost 0 inf + 1 5.925 * [simplify]: Simplified to 0 5.925 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (+ 0 (log (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N))))) 5.926 * * * * [progress]: [ 52 / 134 ] simplifiying candidate # 5.926 * [simplify]: Simplifying (log (sqrt (+ N 1))) 5.926 * * [simplify]: iters left: 4 (5 enodes) 5.928 * * [simplify]: iters left: 3 (18 enodes) 5.934 * * [simplify]: iters left: 2 (20 enodes) 5.940 * * [simplify]: Extracting #0: cost 1 inf + 0 5.941 * * [simplify]: Extracting #1: cost 3 inf + 0 5.941 * * [simplify]: Extracting #2: cost 5 inf + 0 5.941 * * [simplify]: Extracting #3: cost 8 inf + 0 5.941 * * [simplify]: Extracting #4: cost 6 inf + 2 5.941 * * [simplify]: Extracting #5: cost 0 inf + 554 5.941 * [simplify]: Simplified to (log (sqrt (+ 1 N))) 5.941 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (- (log (sqrt (+ 1 N))) (log (sqrt N))) (log (sqrt (/ (+ N 1) N))))) 5.941 * * * * [progress]: [ 53 / 134 ] simplifiying candidate # 5.941 * * * * [progress]: [ 54 / 134 ] simplifiying candidate # 5.941 * * * * [progress]: [ 55 / 134 ] simplifiying candidate # 5.942 * [simplify]: Simplifying (/ 1 2) 5.942 * * [simplify]: iters left: 2 (3 enodes) 5.945 * * [simplify]: iters left: 1 (12 enodes) 5.949 * * [simplify]: Extracting #0: cost 1 inf + 0 5.949 * * [simplify]: Extracting #1: cost 0 inf + 1 5.949 * [simplify]: Simplified to 1/2 5.949 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))))) 5.949 * * * * [progress]: [ 56 / 134 ] simplifiying candidate # 5.949 * * * * [progress]: [ 57 / 134 ] simplifiying candidate # 5.949 * [simplify]: Simplifying (sqrt (/ (+ N 1) N)) 5.949 * * [simplify]: iters left: 5 (5 enodes) 5.951 * * [simplify]: iters left: 4 (18 enodes) 5.954 * * [simplify]: iters left: 3 (20 enodes) 5.957 * * [simplify]: Extracting #0: cost 1 inf + 0 5.957 * * [simplify]: Extracting #1: cost 3 inf + 0 5.957 * * [simplify]: Extracting #2: cost 6 inf + 0 5.957 * * [simplify]: Extracting #3: cost 7 inf + 1 5.957 * * [simplify]: Extracting #4: cost 0 inf + 494 5.957 * [simplify]: Simplified to (sqrt (/ (+ 1 N) N)) 5.957 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) 5.957 * * * * [progress]: [ 58 / 134 ] simplifiying candidate # 5.957 * * * * [progress]: [ 59 / 134 ] simplifiying candidate # 5.957 * * * * [progress]: [ 60 / 134 ] simplifiying candidate # 5.957 * * * * [progress]: [ 61 / 134 ] simplifiying candidate # 5.957 * * * * [progress]: [ 62 / 134 ] simplifiying candidate # 5.957 * * * * [progress]: [ 63 / 134 ] simplifiying candidate # 5.957 * * * * [progress]: [ 64 / 134 ] simplifiying candidate #real (real->posit16 (log (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N)))))> 5.957 * * * * [progress]: [ 65 / 134 ] simplifiying candidate # 5.958 * * * * [progress]: [ 66 / 134 ] simplifiying candidate # 5.958 * * * * [progress]: [ 67 / 134 ] simplifiying candidate # 5.958 * * * * [progress]: [ 68 / 134 ] simplifiying candidate # 5.958 * * * * [progress]: [ 69 / 134 ] simplifiying candidate # 5.958 * * * * [progress]: [ 70 / 134 ] simplifiying candidate # 5.958 * * * * [progress]: [ 71 / 134 ] simplifiying candidate # 5.958 * [simplify]: Simplifying (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 5.958 * * [simplify]: iters left: 6 (7 enodes) 5.960 * * [simplify]: iters left: 5 (25 enodes) 5.964 * * [simplify]: iters left: 4 (27 enodes) 5.968 * * [simplify]: Extracting #0: cost 1 inf + 0 5.968 * * [simplify]: Extracting #1: cost 4 inf + 0 5.968 * * [simplify]: Extracting #2: cost 7 inf + 0 5.968 * * [simplify]: Extracting #3: cost 10 inf + 0 5.968 * * [simplify]: Extracting #4: cost 11 inf + 1 5.968 * * [simplify]: Extracting #5: cost 8 inf + 86 5.968 * * [simplify]: Extracting #6: cost 1 inf + 1180 5.969 * * [simplify]: Extracting #7: cost 0 inf + 1382 5.969 * [simplify]: Simplified to (fabs (cbrt (/ (+ 1 N) N))) 5.969 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* (fabs (cbrt (/ (+ 1 N) N))) (sqrt (cbrt (/ (+ N 1) N))))))) 5.969 * * * * [progress]: [ 72 / 134 ] simplifiying candidate # 5.969 * [simplify]: Simplifying (sqrt (sqrt (/ (+ N 1) N))) 5.969 * * [simplify]: iters left: 6 (6 enodes) 5.971 * * [simplify]: iters left: 5 (21 enodes) 5.975 * * [simplify]: iters left: 4 (23 enodes) 5.978 * * [simplify]: Extracting #0: cost 1 inf + 0 5.978 * * [simplify]: Extracting #1: cost 3 inf + 0 5.978 * * [simplify]: Extracting #2: cost 5 inf + 0 5.978 * * [simplify]: Extracting #3: cost 8 inf + 0 5.978 * * [simplify]: Extracting #4: cost 9 inf + 1 5.978 * * [simplify]: Extracting #5: cost 8 inf + 2 5.978 * * [simplify]: Extracting #6: cost 0 inf + 818 5.979 * [simplify]: Simplified to (sqrt (sqrt (/ (+ 1 N) N))) 5.979 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ N 1) N))))))) 5.979 * * * * [progress]: [ 73 / 134 ] simplifiying candidate # 5.979 * [simplify]: Simplifying (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) 5.979 * * [simplify]: iters left: 6 (9 enodes) 5.983 * * [simplify]: iters left: 5 (36 enodes) 5.995 * * [simplify]: iters left: 4 (54 enodes) 6.011 * * [simplify]: iters left: 3 (61 enodes) 6.027 * * [simplify]: iters left: 2 (64 enodes) 6.044 * * [simplify]: Extracting #0: cost 1 inf + 0 6.044 * * [simplify]: Extracting #1: cost 4 inf + 0 6.044 * * [simplify]: Extracting #2: cost 14 inf + 0 6.044 * * [simplify]: Extracting #3: cost 24 inf + 0 6.044 * * [simplify]: Extracting #4: cost 24 inf + 82 6.044 * * [simplify]: Extracting #5: cost 20 inf + 406 6.045 * * [simplify]: Extracting #6: cost 8 inf + 2710 6.046 * * [simplify]: Extracting #7: cost 1 inf + 4564 6.048 * * [simplify]: Extracting #8: cost 0 inf + 4846 6.049 * [simplify]: Simplified to (fabs (/ (cbrt (+ 1 N)) (cbrt N))) 6.049 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* (fabs (/ (cbrt (+ 1 N)) (cbrt N))) (sqrt (/ (cbrt (+ N 1)) (cbrt N))))))) 6.049 * * * * [progress]: [ 74 / 134 ] simplifiying candidate # 6.050 * [simplify]: Simplifying (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) 6.050 * * [simplify]: iters left: 6 (8 enodes) 6.054 * * [simplify]: iters left: 5 (29 enodes) 6.062 * * [simplify]: iters left: 4 (35 enodes) 6.069 * * [simplify]: iters left: 3 (38 enodes) 6.074 * * [simplify]: Extracting #0: cost 1 inf + 0 6.074 * * [simplify]: Extracting #1: cost 3 inf + 0 6.074 * * [simplify]: Extracting #2: cost 9 inf + 0 6.074 * * [simplify]: Extracting #3: cost 16 inf + 0 6.074 * * [simplify]: Extracting #4: cost 17 inf + 1 6.074 * * [simplify]: Extracting #5: cost 15 inf + 43 6.075 * * [simplify]: Extracting #6: cost 11 inf + 290 6.075 * * [simplify]: Extracting #7: cost 0 inf + 2592 6.075 * [simplify]: Simplified to (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) 6.075 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (sqrt (/ (cbrt (+ N 1)) (sqrt N))))))) 6.075 * * * * [progress]: [ 75 / 134 ] simplifiying candidate # 6.076 * [simplify]: Simplifying (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) 6.076 * * [simplify]: iters left: 6 (7 enodes) 6.077 * * [simplify]: iters left: 5 (24 enodes) 6.082 * * [simplify]: iters left: 4 (35 enodes) 6.087 * * [simplify]: iters left: 3 (36 enodes) 6.091 * * [simplify]: Extracting #0: cost 1 inf + 0 6.091 * * [simplify]: Extracting #1: cost 4 inf + 0 6.091 * * [simplify]: Extracting #2: cost 9 inf + 0 6.091 * * [simplify]: Extracting #3: cost 11 inf + 1 6.091 * * [simplify]: Extracting #4: cost 10 inf + 2 6.091 * * [simplify]: Extracting #5: cost 3 inf + 816 6.092 * * [simplify]: Extracting #6: cost 0 inf + 1302 6.092 * [simplify]: Simplified to (fabs (cbrt (+ 1 N))) 6.092 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* (fabs (cbrt (+ 1 N))) (sqrt (/ (cbrt (+ N 1)) N)))))) 6.092 * * * * [progress]: [ 76 / 134 ] simplifiying candidate # 6.092 * [simplify]: Simplifying (sqrt (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) 6.092 * * [simplify]: iters left: 6 (8 enodes) 6.094 * * [simplify]: iters left: 5 (29 enodes) 6.098 * * [simplify]: iters left: 4 (33 enodes) 6.103 * * [simplify]: Extracting #0: cost 1 inf + 0 6.103 * * [simplify]: Extracting #1: cost 3 inf + 0 6.103 * * [simplify]: Extracting #2: cost 8 inf + 0 6.103 * * [simplify]: Extracting #3: cost 14 inf + 0 6.103 * * [simplify]: Extracting #4: cost 15 inf + 1 6.103 * * [simplify]: Extracting #5: cost 11 inf + 285 6.104 * * [simplify]: Extracting #6: cost 7 inf + 572 6.104 * * [simplify]: Extracting #7: cost 0 inf + 2106 6.104 * [simplify]: Simplified to (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) 6.104 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1)) (cbrt N))))))) 6.104 * * * * [progress]: [ 77 / 134 ] simplifiying candidate # 6.104 * [simplify]: Simplifying (sqrt (/ (sqrt (+ N 1)) (sqrt N))) 6.104 * * [simplify]: iters left: 6 (7 enodes) 6.106 * * [simplify]: iters left: 5 (24 enodes) 6.110 * * [simplify]: iters left: 4 (26 enodes) 6.113 * * [simplify]: Extracting #0: cost 1 inf + 0 6.113 * * [simplify]: Extracting #1: cost 3 inf + 0 6.114 * * [simplify]: Extracting #2: cost 6 inf + 0 6.114 * * [simplify]: Extracting #3: cost 10 inf + 0 6.114 * * [simplify]: Extracting #4: cost 11 inf + 1 6.114 * * [simplify]: Extracting #5: cost 8 inf + 84 6.114 * * [simplify]: Extracting #6: cost 4 inf + 332 6.114 * * [simplify]: Extracting #7: cost 2 inf + 696 6.114 * * [simplify]: Extracting #8: cost 0 inf + 1060 6.114 * [simplify]: Simplified to (sqrt (/ (sqrt (+ 1 N)) (sqrt N))) 6.114 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* (sqrt (/ (sqrt (+ 1 N)) (sqrt N))) (sqrt (/ (sqrt (+ N 1)) (sqrt N))))))) 6.114 * * * * [progress]: [ 78 / 134 ] simplifiying candidate # 6.115 * [simplify]: Simplifying (sqrt (/ (sqrt (+ N 1)) 1)) 6.115 * * [simplify]: iters left: 6 (6 enodes) 6.116 * * [simplify]: iters left: 5 (19 enodes) 6.120 * * [simplify]: iters left: 4 (21 enodes) 6.123 * * [simplify]: Extracting #0: cost 1 inf + 0 6.123 * * [simplify]: Extracting #1: cost 3 inf + 0 6.123 * * [simplify]: Extracting #2: cost 6 inf + 0 6.123 * * [simplify]: Extracting #3: cost 7 inf + 1 6.123 * * [simplify]: Extracting #4: cost 6 inf + 2 6.123 * * [simplify]: Extracting #5: cost 0 inf + 494 6.123 * [simplify]: Simplified to (sqrt (sqrt (+ 1 N))) 6.123 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* (sqrt (sqrt (+ 1 N))) (sqrt (/ (sqrt (+ N 1)) N)))))) 6.123 * * * * [progress]: [ 79 / 134 ] simplifiying candidate # 6.123 * [simplify]: Simplifying (sqrt (/ 1 (* (cbrt N) (cbrt N)))) 6.123 * * [simplify]: iters left: 6 (6 enodes) 6.126 * * [simplify]: iters left: 5 (22 enodes) 6.133 * * [simplify]: iters left: 4 (26 enodes) 6.138 * * [simplify]: Extracting #0: cost 1 inf + 0 6.138 * * [simplify]: Extracting #1: cost 3 inf + 0 6.138 * * [simplify]: Extracting #2: cost 8 inf + 0 6.138 * * [simplify]: Extracting #3: cost 11 inf + 1 6.138 * * [simplify]: Extracting #4: cost 8 inf + 164 6.138 * * [simplify]: Extracting #5: cost 1 inf + 1176 6.139 * * [simplify]: Extracting #6: cost 0 inf + 1378 6.139 * [simplify]: Simplified to (sqrt (/ 1 (* (cbrt N) (cbrt N)))) 6.139 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1) (cbrt N))))))) 6.139 * * * * [progress]: [ 80 / 134 ] simplifiying candidate # 6.139 * [simplify]: Simplifying (sqrt (/ 1 (sqrt N))) 6.139 * * [simplify]: iters left: 4 (5 enodes) 6.141 * * [simplify]: iters left: 3 (17 enodes) 6.143 * * [simplify]: iters left: 2 (19 enodes) 6.146 * * [simplify]: Extracting #0: cost 1 inf + 0 6.146 * * [simplify]: Extracting #1: cost 3 inf + 0 6.146 * * [simplify]: Extracting #2: cost 6 inf + 0 6.146 * * [simplify]: Extracting #3: cost 7 inf + 1 6.146 * * [simplify]: Extracting #4: cost 0 inf + 492 6.146 * [simplify]: Simplified to (sqrt (/ 1 (sqrt N))) 6.146 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))))))) 6.146 * * * * [progress]: [ 81 / 134 ] simplifiying candidate # 6.147 * [simplify]: Simplifying (sqrt (/ 1 1)) 6.147 * * [simplify]: iters left: 3 (3 enodes) 6.149 * * [simplify]: iters left: 2 (9 enodes) 6.150 * * [simplify]: iters left: 1 (11 enodes) 6.151 * * [simplify]: Extracting #0: cost 1 inf + 0 6.152 * * [simplify]: Extracting #1: cost 0 inf + 1 6.152 * [simplify]: Simplified to 1 6.152 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* 1 (sqrt (/ (+ N 1) N)))))) 6.152 * * * * [progress]: [ 82 / 134 ] simplifiying candidate # 6.152 * [simplify]: Simplifying (sqrt (/ 1 (* (cbrt N) (cbrt N)))) 6.152 * * [simplify]: iters left: 6 (6 enodes) 6.153 * * [simplify]: iters left: 5 (22 enodes) 6.159 * * [simplify]: iters left: 4 (26 enodes) 6.162 * * [simplify]: Extracting #0: cost 1 inf + 0 6.162 * * [simplify]: Extracting #1: cost 3 inf + 0 6.162 * * [simplify]: Extracting #2: cost 8 inf + 0 6.162 * * [simplify]: Extracting #3: cost 11 inf + 1 6.163 * * [simplify]: Extracting #4: cost 8 inf + 164 6.163 * * [simplify]: Extracting #5: cost 1 inf + 1176 6.163 * * [simplify]: Extracting #6: cost 0 inf + 1378 6.163 * [simplify]: Simplified to (sqrt (/ 1 (* (cbrt N) (cbrt N)))) 6.163 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1) (cbrt N))))))) 6.163 * * * * [progress]: [ 83 / 134 ] simplifiying candidate # 6.163 * [simplify]: Simplifying (sqrt (/ 1 (sqrt N))) 6.163 * * [simplify]: iters left: 4 (5 enodes) 6.165 * * [simplify]: iters left: 3 (17 enodes) 6.167 * * [simplify]: iters left: 2 (19 enodes) 6.170 * * [simplify]: Extracting #0: cost 1 inf + 0 6.171 * * [simplify]: Extracting #1: cost 3 inf + 0 6.171 * * [simplify]: Extracting #2: cost 6 inf + 0 6.171 * * [simplify]: Extracting #3: cost 7 inf + 1 6.171 * * [simplify]: Extracting #4: cost 0 inf + 492 6.171 * [simplify]: Simplified to (sqrt (/ 1 (sqrt N))) 6.171 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))))))) 6.171 * * * * [progress]: [ 84 / 134 ] simplifiying candidate # 6.171 * [simplify]: Simplifying (sqrt (/ 1 1)) 6.171 * * [simplify]: iters left: 3 (3 enodes) 6.173 * * [simplify]: iters left: 2 (9 enodes) 6.175 * * [simplify]: iters left: 1 (11 enodes) 6.176 * * [simplify]: Extracting #0: cost 1 inf + 0 6.176 * * [simplify]: Extracting #1: cost 0 inf + 1 6.176 * [simplify]: Simplified to 1 6.176 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* 1 (sqrt (/ (+ N 1) N)))))) 6.176 * * * * [progress]: [ 85 / 134 ] simplifiying candidate # 6.177 * [simplify]: Simplifying (sqrt 1) 6.177 * * [simplify]: iters left: 1 (2 enodes) 6.178 * * [simplify]: Extracting #0: cost 1 inf + 0 6.178 * * [simplify]: Extracting #1: cost 0 inf + 1 6.178 * [simplify]: Simplified to 1 6.178 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* 1 (sqrt (/ (+ N 1) N)))))) 6.178 * * * * [progress]: [ 86 / 134 ] simplifiying candidate # 6.179 * [simplify]: Simplifying (sqrt (+ N 1)) 6.179 * * [simplify]: iters left: 3 (4 enodes) 6.180 * * [simplify]: iters left: 2 (15 enodes) 6.184 * * [simplify]: iters left: 1 (17 enodes) 6.188 * * [simplify]: Extracting #0: cost 1 inf + 0 6.188 * * [simplify]: Extracting #1: cost 3 inf + 0 6.188 * * [simplify]: Extracting #2: cost 6 inf + 0 6.188 * * [simplify]: Extracting #3: cost 2 inf + 86 6.188 * * [simplify]: Extracting #4: cost 1 inf + 168 6.189 * * [simplify]: Extracting #5: cost 0 inf + 250 6.189 * [simplify]: Simplified to (sqrt (+ 1 N)) 6.189 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* (sqrt (+ 1 N)) (sqrt (/ 1 N)))))) 6.189 * * * * [progress]: [ 87 / 134 ] simplifiying candidate # 6.189 * [simplify]: Simplifying (sqrt (+ N 1)) 6.189 * * [simplify]: iters left: 3 (4 enodes) 6.191 * * [simplify]: iters left: 2 (15 enodes) 6.195 * * [simplify]: iters left: 1 (17 enodes) 6.199 * * [simplify]: Extracting #0: cost 1 inf + 0 6.199 * * [simplify]: Extracting #1: cost 3 inf + 0 6.199 * * [simplify]: Extracting #2: cost 6 inf + 0 6.199 * * [simplify]: Extracting #3: cost 2 inf + 86 6.199 * * [simplify]: Extracting #4: cost 1 inf + 168 6.200 * * [simplify]: Extracting #5: cost 0 inf + 250 6.200 * [simplify]: Simplified to (sqrt (+ 1 N)) 6.200 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (/ (sqrt (+ 1 N)) (sqrt N))))) 6.200 * * * * [progress]: [ 88 / 134 ] simplifiying candidate # 6.200 * [simplify]: Simplifying (/ (+ N 1) N) 6.200 * * [simplify]: iters left: 4 (4 enodes) 6.202 * * [simplify]: iters left: 3 (15 enodes) 6.206 * * [simplify]: iters left: 2 (17 enodes) 6.210 * * [simplify]: Extracting #0: cost 1 inf + 0 6.210 * * [simplify]: Extracting #1: cost 4 inf + 0 6.210 * * [simplify]: Extracting #2: cost 5 inf + 1 6.210 * * [simplify]: Extracting #3: cost 3 inf + 44 6.211 * * [simplify]: Extracting #4: cost 1 inf + 168 6.211 * * [simplify]: Extracting #5: cost 0 inf + 250 6.211 * [simplify]: Simplified to (/ (+ 1 N) N) 6.211 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (pow (/ (+ 1 N) N) (/ 1 2))))) 6.211 * * * * [progress]: [ 89 / 134 ] simplifiying candidate # 6.211 * * * * [progress]: [ 90 / 134 ] simplifiying candidate # 6.211 * [simplify]: Simplifying (sqrt (/ (+ N 1) N)) 6.211 * * [simplify]: iters left: 5 (5 enodes) 6.214 * * [simplify]: iters left: 4 (18 enodes) 6.219 * * [simplify]: iters left: 3 (20 enodes) 6.224 * * [simplify]: Extracting #0: cost 1 inf + 0 6.224 * * [simplify]: Extracting #1: cost 3 inf + 0 6.225 * * [simplify]: Extracting #2: cost 6 inf + 0 6.225 * * [simplify]: Extracting #3: cost 7 inf + 1 6.225 * * [simplify]: Extracting #4: cost 0 inf + 494 6.225 * [simplify]: Simplified to (sqrt (/ (+ 1 N) N)) 6.225 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (fabs (sqrt (/ (+ 1 N) N)))))) 6.225 * * * * [progress]: [ 91 / 134 ] simplifiying candidate # 6.226 * [simplify]: Simplifying (/ (sqrt (+ N 1)) (sqrt N)) 6.226 * * [simplify]: iters left: 5 (6 enodes) 6.228 * * [simplify]: iters left: 4 (21 enodes) 6.235 * * [simplify]: iters left: 3 (23 enodes) 6.241 * * [simplify]: Extracting #0: cost 1 inf + 0 6.241 * * [simplify]: Extracting #1: cost 4 inf + 0 6.241 * * [simplify]: Extracting #2: cost 8 inf + 0 6.242 * * [simplify]: Extracting #3: cost 7 inf + 83 6.242 * * [simplify]: Extracting #4: cost 6 inf + 84 6.242 * * [simplify]: Extracting #5: cost 0 inf + 656 6.242 * [simplify]: Simplified to (/ (sqrt (+ 1 N)) (sqrt N)) 6.242 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (fabs (/ (sqrt (+ 1 N)) (sqrt N)))))) 6.242 * * * * [progress]: [ 92 / 134 ] simplifiying candidate # 6.242 * * * * [progress]: [ 93 / 134 ] simplifiying candidate #real (real->posit16 (sqrt (/ (+ N 1) N)))))))> 6.243 * * * * [progress]: [ 94 / 134 ] simplifiying candidate # 6.243 * * * * [progress]: [ 95 / 134 ] simplifiying candidate # 6.243 * * * * [progress]: [ 96 / 134 ] simplifiying candidate # 6.243 * * * * [progress]: [ 97 / 134 ] simplifiying candidate # 6.243 * * * * [progress]: [ 98 / 134 ] simplifiying candidate # 6.243 * * * * [progress]: [ 99 / 134 ] simplifiying candidate # 6.243 * * * * [progress]: [ 100 / 134 ] simplifiying candidate # 6.243 * [simplify]: Simplifying (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 6.243 * * [simplify]: iters left: 6 (7 enodes) 6.247 * * [simplify]: iters left: 5 (25 enodes) 6.254 * * [simplify]: iters left: 4 (27 enodes) 6.262 * * [simplify]: Extracting #0: cost 1 inf + 0 6.262 * * [simplify]: Extracting #1: cost 4 inf + 0 6.262 * * [simplify]: Extracting #2: cost 7 inf + 0 6.262 * * [simplify]: Extracting #3: cost 10 inf + 0 6.262 * * [simplify]: Extracting #4: cost 11 inf + 1 6.262 * * [simplify]: Extracting #5: cost 8 inf + 86 6.263 * * [simplify]: Extracting #6: cost 1 inf + 1180 6.263 * * [simplify]: Extracting #7: cost 0 inf + 1382 6.263 * [simplify]: Simplified to (fabs (cbrt (/ (+ 1 N) N))) 6.264 * [simplify]: Simplified (2 1 1 1) to (λ (N) (+ (log (* (fabs (cbrt (/ (+ 1 N) N))) (sqrt (cbrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 6.264 * * * * [progress]: [ 101 / 134 ] simplifiying candidate # 6.264 * [simplify]: Simplifying (sqrt (sqrt (/ (+ N 1) N))) 6.264 * * [simplify]: iters left: 6 (6 enodes) 6.267 * * [simplify]: iters left: 5 (21 enodes) 6.273 * * [simplify]: iters left: 4 (23 enodes) 6.281 * * [simplify]: Extracting #0: cost 1 inf + 0 6.281 * * [simplify]: Extracting #1: cost 3 inf + 0 6.281 * * [simplify]: Extracting #2: cost 5 inf + 0 6.281 * * [simplify]: Extracting #3: cost 8 inf + 0 6.281 * * [simplify]: Extracting #4: cost 9 inf + 1 6.281 * * [simplify]: Extracting #5: cost 8 inf + 2 6.281 * * [simplify]: Extracting #6: cost 0 inf + 818 6.282 * [simplify]: Simplified to (sqrt (sqrt (/ (+ 1 N) N))) 6.282 * [simplify]: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 6.282 * * * * [progress]: [ 102 / 134 ] simplifiying candidate # 6.282 * [simplify]: Simplifying (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) 6.282 * * [simplify]: iters left: 6 (9 enodes) 6.287 * * [simplify]: iters left: 5 (36 enodes) 6.301 * * [simplify]: iters left: 4 (54 enodes) 6.316 * * [simplify]: iters left: 3 (61 enodes) 6.328 * * [simplify]: iters left: 2 (64 enodes) 6.337 * * [simplify]: Extracting #0: cost 1 inf + 0 6.337 * * [simplify]: Extracting #1: cost 4 inf + 0 6.337 * * [simplify]: Extracting #2: cost 14 inf + 0 6.337 * * [simplify]: Extracting #3: cost 24 inf + 0 6.337 * * [simplify]: Extracting #4: cost 24 inf + 82 6.337 * * [simplify]: Extracting #5: cost 20 inf + 406 6.337 * * [simplify]: Extracting #6: cost 8 inf + 2710 6.338 * * [simplify]: Extracting #7: cost 1 inf + 4564 6.339 * * [simplify]: Extracting #8: cost 0 inf + 4846 6.339 * [simplify]: Simplified to (fabs (/ (cbrt (+ 1 N)) (cbrt N))) 6.339 * [simplify]: Simplified (2 1 1 1) to (λ (N) (+ (log (* (fabs (/ (cbrt (+ 1 N)) (cbrt N))) (sqrt (/ (cbrt (+ N 1)) (cbrt N))))) (log (sqrt (/ (+ N 1) N))))) 6.340 * * * * [progress]: [ 103 / 134 ] simplifiying candidate # 6.340 * [simplify]: Simplifying (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) 6.340 * * [simplify]: iters left: 6 (8 enodes) 6.342 * * [simplify]: iters left: 5 (29 enodes) 6.346 * * [simplify]: iters left: 4 (35 enodes) 6.352 * * [simplify]: iters left: 3 (38 enodes) 6.363 * * [simplify]: Extracting #0: cost 1 inf + 0 6.363 * * [simplify]: Extracting #1: cost 3 inf + 0 6.363 * * [simplify]: Extracting #2: cost 9 inf + 0 6.363 * * [simplify]: Extracting #3: cost 16 inf + 0 6.363 * * [simplify]: Extracting #4: cost 17 inf + 1 6.363 * * [simplify]: Extracting #5: cost 15 inf + 43 6.364 * * [simplify]: Extracting #6: cost 11 inf + 290 6.364 * * [simplify]: Extracting #7: cost 0 inf + 2592 6.365 * [simplify]: Simplified to (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) 6.365 * [simplify]: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (sqrt (/ (cbrt (+ N 1)) (sqrt N))))) (log (sqrt (/ (+ N 1) N))))) 6.365 * * * * [progress]: [ 104 / 134 ] simplifiying candidate # 6.365 * [simplify]: Simplifying (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) 6.365 * * [simplify]: iters left: 6 (7 enodes) 6.369 * * [simplify]: iters left: 5 (24 enodes) 6.378 * * [simplify]: iters left: 4 (35 enodes) 6.389 * * [simplify]: iters left: 3 (36 enodes) 6.399 * * [simplify]: Extracting #0: cost 1 inf + 0 6.399 * * [simplify]: Extracting #1: cost 4 inf + 0 6.399 * * [simplify]: Extracting #2: cost 9 inf + 0 6.399 * * [simplify]: Extracting #3: cost 11 inf + 1 6.399 * * [simplify]: Extracting #4: cost 10 inf + 2 6.400 * * [simplify]: Extracting #5: cost 3 inf + 816 6.400 * * [simplify]: Extracting #6: cost 0 inf + 1302 6.400 * [simplify]: Simplified to (fabs (cbrt (+ 1 N))) 6.401 * [simplify]: Simplified (2 1 1 1) to (λ (N) (+ (log (* (fabs (cbrt (+ 1 N))) (sqrt (/ (cbrt (+ N 1)) N)))) (log (sqrt (/ (+ N 1) N))))) 6.401 * * * * [progress]: [ 105 / 134 ] simplifiying candidate # 6.401 * [simplify]: Simplifying (sqrt (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) 6.401 * * [simplify]: iters left: 6 (8 enodes) 6.405 * * [simplify]: iters left: 5 (29 enodes) 6.414 * * [simplify]: iters left: 4 (33 enodes) 6.418 * * [simplify]: Extracting #0: cost 1 inf + 0 6.419 * * [simplify]: Extracting #1: cost 3 inf + 0 6.419 * * [simplify]: Extracting #2: cost 8 inf + 0 6.419 * * [simplify]: Extracting #3: cost 14 inf + 0 6.419 * * [simplify]: Extracting #4: cost 15 inf + 1 6.419 * * [simplify]: Extracting #5: cost 11 inf + 285 6.419 * * [simplify]: Extracting #6: cost 7 inf + 572 6.419 * * [simplify]: Extracting #7: cost 0 inf + 2106 6.419 * [simplify]: Simplified to (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) 6.419 * [simplify]: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1)) (cbrt N))))) (log (sqrt (/ (+ N 1) N))))) 6.420 * * * * [progress]: [ 106 / 134 ] simplifiying candidate # 6.420 * [simplify]: Simplifying (sqrt (/ (sqrt (+ N 1)) (sqrt N))) 6.420 * * [simplify]: iters left: 6 (7 enodes) 6.423 * * [simplify]: iters left: 5 (24 enodes) 6.427 * * [simplify]: iters left: 4 (26 enodes) 6.431 * * [simplify]: Extracting #0: cost 1 inf + 0 6.431 * * [simplify]: Extracting #1: cost 3 inf + 0 6.431 * * [simplify]: Extracting #2: cost 6 inf + 0 6.431 * * [simplify]: Extracting #3: cost 10 inf + 0 6.431 * * [simplify]: Extracting #4: cost 11 inf + 1 6.431 * * [simplify]: Extracting #5: cost 8 inf + 84 6.431 * * [simplify]: Extracting #6: cost 4 inf + 332 6.431 * * [simplify]: Extracting #7: cost 2 inf + 696 6.432 * * [simplify]: Extracting #8: cost 0 inf + 1060 6.432 * [simplify]: Simplified to (sqrt (/ (sqrt (+ 1 N)) (sqrt N))) 6.432 * [simplify]: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (/ (sqrt (+ 1 N)) (sqrt N))) (sqrt (/ (sqrt (+ N 1)) (sqrt N))))) (log (sqrt (/ (+ N 1) N))))) 6.432 * * * * [progress]: [ 107 / 134 ] simplifiying candidate # 6.432 * [simplify]: Simplifying (sqrt (/ (sqrt (+ N 1)) 1)) 6.432 * * [simplify]: iters left: 6 (6 enodes) 6.434 * * [simplify]: iters left: 5 (19 enodes) 6.437 * * [simplify]: iters left: 4 (21 enodes) 6.441 * * [simplify]: Extracting #0: cost 1 inf + 0 6.441 * * [simplify]: Extracting #1: cost 3 inf + 0 6.441 * * [simplify]: Extracting #2: cost 6 inf + 0 6.441 * * [simplify]: Extracting #3: cost 7 inf + 1 6.441 * * [simplify]: Extracting #4: cost 6 inf + 2 6.441 * * [simplify]: Extracting #5: cost 0 inf + 494 6.441 * [simplify]: Simplified to (sqrt (sqrt (+ 1 N))) 6.442 * [simplify]: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (sqrt (+ 1 N))) (sqrt (/ (sqrt (+ N 1)) N)))) (log (sqrt (/ (+ N 1) N))))) 6.442 * * * * [progress]: [ 108 / 134 ] simplifiying candidate # 6.442 * [simplify]: Simplifying (sqrt (/ 1 (* (cbrt N) (cbrt N)))) 6.442 * * [simplify]: iters left: 6 (6 enodes) 6.446 * * [simplify]: iters left: 5 (22 enodes) 6.453 * * [simplify]: iters left: 4 (26 enodes) 6.460 * * [simplify]: Extracting #0: cost 1 inf + 0 6.460 * * [simplify]: Extracting #1: cost 3 inf + 0 6.461 * * [simplify]: Extracting #2: cost 8 inf + 0 6.461 * * [simplify]: Extracting #3: cost 11 inf + 1 6.461 * * [simplify]: Extracting #4: cost 8 inf + 164 6.461 * * [simplify]: Extracting #5: cost 1 inf + 1176 6.461 * * [simplify]: Extracting #6: cost 0 inf + 1378 6.462 * [simplify]: Simplified to (sqrt (/ 1 (* (cbrt N) (cbrt N)))) 6.462 * [simplify]: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1) (cbrt N))))) (log (sqrt (/ (+ N 1) N))))) 6.462 * * * * [progress]: [ 109 / 134 ] simplifiying candidate # 6.462 * [simplify]: Simplifying (sqrt (/ 1 (sqrt N))) 6.462 * * [simplify]: iters left: 4 (5 enodes) 6.465 * * [simplify]: iters left: 3 (17 enodes) 6.471 * * [simplify]: iters left: 2 (19 enodes) 6.477 * * [simplify]: Extracting #0: cost 1 inf + 0 6.477 * * [simplify]: Extracting #1: cost 3 inf + 0 6.477 * * [simplify]: Extracting #2: cost 6 inf + 0 6.477 * * [simplify]: Extracting #3: cost 7 inf + 1 6.477 * * [simplify]: Extracting #4: cost 0 inf + 492 6.477 * [simplify]: Simplified to (sqrt (/ 1 (sqrt N))) 6.477 * [simplify]: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))))) (log (sqrt (/ (+ N 1) N))))) 6.477 * * * * [progress]: [ 110 / 134 ] simplifiying candidate # 6.478 * [simplify]: Simplifying (sqrt (/ 1 1)) 6.478 * * [simplify]: iters left: 3 (3 enodes) 6.482 * * [simplify]: iters left: 2 (9 enodes) 6.484 * * [simplify]: iters left: 1 (11 enodes) 6.487 * * [simplify]: Extracting #0: cost 1 inf + 0 6.487 * * [simplify]: Extracting #1: cost 0 inf + 1 6.487 * [simplify]: Simplified to 1 6.487 * [simplify]: Simplified (2 1 1 1) to (λ (N) (+ (log (* 1 (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N))))) 6.488 * * * * [progress]: [ 111 / 134 ] simplifiying candidate # 6.488 * [simplify]: Simplifying (sqrt (/ 1 (* (cbrt N) (cbrt N)))) 6.488 * * [simplify]: iters left: 6 (6 enodes) 6.491 * * [simplify]: iters left: 5 (22 enodes) 6.495 * * [simplify]: iters left: 4 (26 enodes) 6.499 * * [simplify]: Extracting #0: cost 1 inf + 0 6.499 * * [simplify]: Extracting #1: cost 3 inf + 0 6.499 * * [simplify]: Extracting #2: cost 8 inf + 0 6.499 * * [simplify]: Extracting #3: cost 11 inf + 1 6.499 * * [simplify]: Extracting #4: cost 8 inf + 164 6.499 * * [simplify]: Extracting #5: cost 1 inf + 1176 6.500 * * [simplify]: Extracting #6: cost 0 inf + 1378 6.500 * [simplify]: Simplified to (sqrt (/ 1 (* (cbrt N) (cbrt N)))) 6.500 * [simplify]: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1) (cbrt N))))) (log (sqrt (/ (+ N 1) N))))) 6.500 * * * * [progress]: [ 112 / 134 ] simplifiying candidate # 6.500 * [simplify]: Simplifying (sqrt (/ 1 (sqrt N))) 6.500 * * [simplify]: iters left: 4 (5 enodes) 6.502 * * [simplify]: iters left: 3 (17 enodes) 6.504 * * [simplify]: iters left: 2 (19 enodes) 6.507 * * [simplify]: Extracting #0: cost 1 inf + 0 6.507 * * [simplify]: Extracting #1: cost 3 inf + 0 6.507 * * [simplify]: Extracting #2: cost 6 inf + 0 6.507 * * [simplify]: Extracting #3: cost 7 inf + 1 6.507 * * [simplify]: Extracting #4: cost 0 inf + 492 6.507 * [simplify]: Simplified to (sqrt (/ 1 (sqrt N))) 6.507 * [simplify]: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))))) (log (sqrt (/ (+ N 1) N))))) 6.508 * * * * [progress]: [ 113 / 134 ] simplifiying candidate # 6.508 * [simplify]: Simplifying (sqrt (/ 1 1)) 6.508 * * [simplify]: iters left: 3 (3 enodes) 6.510 * * [simplify]: iters left: 2 (9 enodes) 6.511 * * [simplify]: iters left: 1 (11 enodes) 6.513 * * [simplify]: Extracting #0: cost 1 inf + 0 6.513 * * [simplify]: Extracting #1: cost 0 inf + 1 6.513 * [simplify]: Simplified to 1 6.513 * [simplify]: Simplified (2 1 1 1) to (λ (N) (+ (log (* 1 (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N))))) 6.513 * * * * [progress]: [ 114 / 134 ] simplifiying candidate # 6.513 * [simplify]: Simplifying (sqrt 1) 6.513 * * [simplify]: iters left: 1 (2 enodes) 6.515 * * [simplify]: Extracting #0: cost 1 inf + 0 6.515 * * [simplify]: Extracting #1: cost 0 inf + 1 6.515 * [simplify]: Simplified to 1 6.515 * [simplify]: Simplified (2 1 1 1) to (λ (N) (+ (log (* 1 (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N))))) 6.515 * * * * [progress]: [ 115 / 134 ] simplifiying candidate # 6.515 * [simplify]: Simplifying (sqrt (+ N 1)) 6.515 * * [simplify]: iters left: 3 (4 enodes) 6.516 * * [simplify]: iters left: 2 (15 enodes) 6.519 * * [simplify]: iters left: 1 (17 enodes) 6.522 * * [simplify]: Extracting #0: cost 1 inf + 0 6.522 * * [simplify]: Extracting #1: cost 3 inf + 0 6.523 * * [simplify]: Extracting #2: cost 6 inf + 0 6.523 * * [simplify]: Extracting #3: cost 2 inf + 86 6.523 * * [simplify]: Extracting #4: cost 1 inf + 168 6.523 * * [simplify]: Extracting #5: cost 0 inf + 250 6.523 * [simplify]: Simplified to (sqrt (+ 1 N)) 6.523 * [simplify]: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (+ 1 N)) (sqrt (/ 1 N)))) (log (sqrt (/ (+ N 1) N))))) 6.523 * * * * [progress]: [ 116 / 134 ] simplifiying candidate # 6.524 * [simplify]: Simplifying (sqrt (+ N 1)) 6.524 * * [simplify]: iters left: 3 (4 enodes) 6.526 * * [simplify]: iters left: 2 (15 enodes) 6.531 * * [simplify]: iters left: 1 (17 enodes) 6.536 * * [simplify]: Extracting #0: cost 1 inf + 0 6.536 * * [simplify]: Extracting #1: cost 3 inf + 0 6.536 * * [simplify]: Extracting #2: cost 6 inf + 0 6.536 * * [simplify]: Extracting #3: cost 2 inf + 86 6.537 * * [simplify]: Extracting #4: cost 1 inf + 168 6.537 * * [simplify]: Extracting #5: cost 0 inf + 250 6.537 * [simplify]: Simplified to (sqrt (+ 1 N)) 6.537 * [simplify]: Simplified (2 1 1 1) to (λ (N) (+ (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (/ (+ N 1) N))))) 6.537 * * * * [progress]: [ 117 / 134 ] simplifiying candidate # 6.537 * [simplify]: Simplifying (/ (+ N 1) N) 6.537 * * [simplify]: iters left: 4 (4 enodes) 6.540 * * [simplify]: iters left: 3 (15 enodes) 6.547 * * [simplify]: iters left: 2 (17 enodes) 6.553 * * [simplify]: Extracting #0: cost 1 inf + 0 6.553 * * [simplify]: Extracting #1: cost 4 inf + 0 6.553 * * [simplify]: Extracting #2: cost 5 inf + 1 6.553 * * [simplify]: Extracting #3: cost 3 inf + 44 6.553 * * [simplify]: Extracting #4: cost 1 inf + 168 6.553 * * [simplify]: Extracting #5: cost 0 inf + 250 6.554 * [simplify]: Simplified to (/ (+ 1 N) N) 6.554 * [simplify]: Simplified (2 1 1 1) to (λ (N) (+ (log (pow (/ (+ 1 N) N) (/ 1 2))) (log (sqrt (/ (+ N 1) N))))) 6.554 * * * * [progress]: [ 118 / 134 ] simplifiying candidate # 6.554 * * * * [progress]: [ 119 / 134 ] simplifiying candidate # 6.554 * [simplify]: Simplifying (sqrt (/ (+ N 1) N)) 6.554 * * [simplify]: iters left: 5 (5 enodes) 6.557 * * [simplify]: iters left: 4 (18 enodes) 6.562 * * [simplify]: iters left: 3 (20 enodes) 6.568 * * [simplify]: Extracting #0: cost 1 inf + 0 6.568 * * [simplify]: Extracting #1: cost 3 inf + 0 6.568 * * [simplify]: Extracting #2: cost 6 inf + 0 6.568 * * [simplify]: Extracting #3: cost 7 inf + 1 6.568 * * [simplify]: Extracting #4: cost 0 inf + 494 6.568 * [simplify]: Simplified to (sqrt (/ (+ 1 N) N)) 6.569 * [simplify]: Simplified (2 1 1 1) to (λ (N) (+ (log (fabs (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (+ N 1) N))))) 6.569 * * * * [progress]: [ 120 / 134 ] simplifiying candidate # 6.569 * [simplify]: Simplifying (/ (sqrt (+ N 1)) (sqrt N)) 6.569 * * [simplify]: iters left: 5 (6 enodes) 6.573 * * [simplify]: iters left: 4 (21 enodes) 6.579 * * [simplify]: iters left: 3 (23 enodes) 6.587 * * [simplify]: Extracting #0: cost 1 inf + 0 6.587 * * [simplify]: Extracting #1: cost 4 inf + 0 6.587 * * [simplify]: Extracting #2: cost 8 inf + 0 6.587 * * [simplify]: Extracting #3: cost 7 inf + 83 6.587 * * [simplify]: Extracting #4: cost 6 inf + 84 6.588 * * [simplify]: Extracting #5: cost 0 inf + 656 6.588 * [simplify]: Simplified to (/ (sqrt (+ 1 N)) (sqrt N)) 6.588 * [simplify]: Simplified (2 1 1 1) to (λ (N) (+ (log (fabs (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (+ N 1) N))))) 6.588 * * * * [progress]: [ 121 / 134 ] simplifiying candidate # 6.588 * * * * [progress]: [ 122 / 134 ] simplifiying candidate #real (real->posit16 (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N)))))> 6.588 * * * * [progress]: [ 123 / 134 ] simplifiying candidate # 6.589 * [simplify]: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 6.589 * [simplify]: Simplified (2 2) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) +nan.0)) 6.589 * * * * [progress]: [ 124 / 134 ] simplifiying candidate # 6.589 * [simplify]: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 6.590 * * [simplify]: iters left: 6 (17 enodes) 6.602 * * [simplify]: iters left: 5 (77 enodes) 6.617 * * [simplify]: iters left: 4 (125 enodes) 6.637 * * [simplify]: iters left: 3 (181 enodes) 6.681 * * [simplify]: iters left: 2 (289 enodes) 6.754 * * [simplify]: Extracting #0: cost 1 inf + 0 6.754 * * [simplify]: Extracting #1: cost 11 inf + 0 6.754 * * [simplify]: Extracting #2: cost 70 inf + 0 6.755 * * [simplify]: Extracting #3: cost 115 inf + 377 6.756 * * [simplify]: Extracting #4: cost 90 inf + 5398 6.762 * * [simplify]: Extracting #5: cost 25 inf + 25165 6.768 * * [simplify]: Extracting #6: cost 6 inf + 30523 6.778 * * [simplify]: Extracting #7: cost 0 inf + 32590 6.785 * [simplify]: Simplified to (+ (+ (/ (/ 1/6 (* N N)) N) (/ 1/2 N)) (/ -1/4 (* N N))) 6.785 * [simplify]: Simplified (2 2) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (+ (/ (/ 1/6 (* N N)) N) (/ 1/2 N)) (/ -1/4 (* N N))))) 6.785 * * * * [progress]: [ 125 / 134 ] simplifiying candidate # 6.786 * [simplify]: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 6.786 * * [simplify]: iters left: 6 (17 enodes) 6.797 * * [simplify]: iters left: 5 (77 enodes) 6.825 * * [simplify]: iters left: 4 (125 enodes) 6.862 * * [simplify]: iters left: 3 (181 enodes) 6.925 * * [simplify]: iters left: 2 (289 enodes) 6.988 * * [simplify]: Extracting #0: cost 1 inf + 0 6.988 * * [simplify]: Extracting #1: cost 11 inf + 0 6.988 * * [simplify]: Extracting #2: cost 70 inf + 0 6.988 * * [simplify]: Extracting #3: cost 115 inf + 377 6.989 * * [simplify]: Extracting #4: cost 90 inf + 5398 6.992 * * [simplify]: Extracting #5: cost 25 inf + 25165 6.995 * * [simplify]: Extracting #6: cost 6 inf + 30523 6.999 * * [simplify]: Extracting #7: cost 0 inf + 32590 7.002 * [simplify]: Simplified to (+ (+ (/ (/ 1/6 (* N N)) N) (/ 1/2 N)) (/ -1/4 (* N N))) 7.002 * [simplify]: Simplified (2 2) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (+ (/ (/ 1/6 (* N N)) N) (/ 1/2 N)) (/ -1/4 (* N N))))) 7.002 * * * * [progress]: [ 126 / 134 ] simplifiying candidate # 7.003 * [simplify]: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 7.003 * [simplify]: Simplified (2 1) to (λ (N) (+ +nan.0 (log (sqrt (/ (+ N 1) N))))) 7.003 * * * * [progress]: [ 127 / 134 ] simplifiying candidate # 7.003 * [simplify]: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 7.003 * * [simplify]: iters left: 6 (17 enodes) 7.013 * * [simplify]: iters left: 5 (77 enodes) 7.029 * * [simplify]: iters left: 4 (125 enodes) 7.067 * * [simplify]: iters left: 3 (181 enodes) 7.113 * * [simplify]: iters left: 2 (289 enodes) 7.179 * * [simplify]: Extracting #0: cost 1 inf + 0 7.179 * * [simplify]: Extracting #1: cost 11 inf + 0 7.179 * * [simplify]: Extracting #2: cost 70 inf + 0 7.179 * * [simplify]: Extracting #3: cost 115 inf + 377 7.180 * * [simplify]: Extracting #4: cost 90 inf + 5398 7.183 * * [simplify]: Extracting #5: cost 25 inf + 25165 7.186 * * [simplify]: Extracting #6: cost 6 inf + 30523 7.190 * * [simplify]: Extracting #7: cost 0 inf + 32590 7.194 * [simplify]: Simplified to (+ (+ (/ (/ 1/6 (* N N)) N) (/ 1/2 N)) (/ -1/4 (* N N))) 7.194 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (+ (/ (/ 1/6 (* N N)) N) (/ 1/2 N)) (/ -1/4 (* N N))) (log (sqrt (/ (+ N 1) N))))) 7.194 * * * * [progress]: [ 128 / 134 ] simplifiying candidate # 7.194 * [simplify]: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 7.194 * * [simplify]: iters left: 6 (17 enodes) 7.202 * * [simplify]: iters left: 5 (77 enodes) 7.236 * * [simplify]: iters left: 4 (125 enodes) 7.257 * * [simplify]: iters left: 3 (181 enodes) 7.307 * * [simplify]: iters left: 2 (289 enodes) 7.370 * * [simplify]: Extracting #0: cost 1 inf + 0 7.371 * * [simplify]: Extracting #1: cost 11 inf + 0 7.371 * * [simplify]: Extracting #2: cost 70 inf + 0 7.371 * * [simplify]: Extracting #3: cost 115 inf + 377 7.372 * * [simplify]: Extracting #4: cost 90 inf + 5398 7.374 * * [simplify]: Extracting #5: cost 25 inf + 25165 7.378 * * [simplify]: Extracting #6: cost 6 inf + 30523 7.384 * * [simplify]: Extracting #7: cost 0 inf + 32590 7.390 * [simplify]: Simplified to (+ (+ (/ (/ 1/6 (* N N)) N) (/ 1/2 N)) (/ -1/4 (* N N))) 7.390 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (+ (/ (/ 1/6 (* N N)) N) (/ 1/2 N)) (/ -1/4 (* N N))) (log (sqrt (/ (+ N 1) N))))) 7.391 * * * * [progress]: [ 129 / 134 ] simplifiying candidate # 7.391 * [simplify]: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 7.391 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log +nan.0))) 7.391 * * * * [progress]: [ 130 / 134 ] simplifiying candidate # 7.391 * [simplify]: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 7.392 * * [simplify]: iters left: 6 (12 enodes) 7.401 * * [simplify]: iters left: 5 (53 enodes) 7.421 * * [simplify]: iters left: 4 (81 enodes) 7.449 * * [simplify]: iters left: 3 (101 enodes) 7.475 * * [simplify]: iters left: 2 (117 enodes) 7.497 * * [simplify]: iters left: 1 (133 enodes) 7.515 * * [simplify]: Extracting #0: cost 1 inf + 0 7.515 * * [simplify]: Extracting #1: cost 16 inf + 0 7.515 * * [simplify]: Extracting #2: cost 39 inf + 1 7.515 * * [simplify]: Extracting #3: cost 29 inf + 873 7.516 * * [simplify]: Extracting #4: cost 3 inf + 3217 7.517 * * [simplify]: Extracting #5: cost 0 inf + 3665 7.518 * [simplify]: Simplified to (+ (/ 1/2 N) (+ 1 (/ -1/8 (* N N)))) 7.518 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (+ (/ 1/2 N) (+ 1 (/ -1/8 (* N N))))))) 7.518 * * * * [progress]: [ 131 / 134 ] simplifiying candidate # 7.518 * [simplify]: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 7.518 * * [simplify]: iters left: 6 (12 enodes) 7.523 * * [simplify]: iters left: 5 (53 enodes) 7.537 * * [simplify]: iters left: 4 (81 enodes) 7.562 * * [simplify]: iters left: 3 (101 enodes) 7.589 * * [simplify]: iters left: 2 (117 enodes) 7.603 * * [simplify]: iters left: 1 (133 enodes) 7.622 * * [simplify]: Extracting #0: cost 1 inf + 0 7.622 * * [simplify]: Extracting #1: cost 16 inf + 0 7.622 * * [simplify]: Extracting #2: cost 39 inf + 1 7.622 * * [simplify]: Extracting #3: cost 29 inf + 873 7.623 * * [simplify]: Extracting #4: cost 3 inf + 3217 7.624 * * [simplify]: Extracting #5: cost 0 inf + 3665 7.625 * [simplify]: Simplified to (+ (/ 1/2 N) (+ 1 (/ -1/8 (* N N)))) 7.625 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (+ (/ 1/2 N) (+ 1 (/ -1/8 (* N N))))))) 7.625 * * * * [progress]: [ 132 / 134 ] simplifiying candidate # 7.625 * [simplify]: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 7.625 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (log +nan.0) (log (sqrt (/ (+ N 1) N))))) 7.625 * * * * [progress]: [ 133 / 134 ] simplifiying candidate # 7.626 * [simplify]: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 7.626 * * [simplify]: iters left: 6 (12 enodes) 7.630 * * [simplify]: iters left: 5 (53 enodes) 7.644 * * [simplify]: iters left: 4 (81 enodes) 7.657 * * [simplify]: iters left: 3 (101 enodes) 7.670 * * [simplify]: iters left: 2 (117 enodes) 7.689 * * [simplify]: iters left: 1 (133 enodes) 7.721 * * [simplify]: Extracting #0: cost 1 inf + 0 7.721 * * [simplify]: Extracting #1: cost 16 inf + 0 7.722 * * [simplify]: Extracting #2: cost 39 inf + 1 7.722 * * [simplify]: Extracting #3: cost 29 inf + 873 7.723 * * [simplify]: Extracting #4: cost 3 inf + 3217 7.725 * * [simplify]: Extracting #5: cost 0 inf + 3665 7.727 * [simplify]: Simplified to (+ (/ 1/2 N) (+ 1 (/ -1/8 (* N N)))) 7.727 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (log (+ (/ 1/2 N) (+ 1 (/ -1/8 (* N N))))) (log (sqrt (/ (+ N 1) N))))) 7.727 * * * * [progress]: [ 134 / 134 ] simplifiying candidate # 7.727 * [simplify]: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 7.727 * * [simplify]: iters left: 6 (12 enodes) 7.734 * * [simplify]: iters left: 5 (53 enodes) 7.750 * * [simplify]: iters left: 4 (81 enodes) 7.775 * * [simplify]: iters left: 3 (101 enodes) 7.800 * * [simplify]: iters left: 2 (117 enodes) 7.827 * * [simplify]: iters left: 1 (133 enodes) 7.863 * * [simplify]: Extracting #0: cost 1 inf + 0 7.863 * * [simplify]: Extracting #1: cost 16 inf + 0 7.863 * * [simplify]: Extracting #2: cost 39 inf + 1 7.864 * * [simplify]: Extracting #3: cost 29 inf + 873 7.865 * * [simplify]: Extracting #4: cost 3 inf + 3217 7.867 * * [simplify]: Extracting #5: cost 0 inf + 3665 7.869 * [simplify]: Simplified to (+ (/ 1/2 N) (+ 1 (/ -1/8 (* N N)))) 7.869 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (log (+ (/ 1/2 N) (+ 1 (/ -1/8 (* N N))))) (log (sqrt (/ (+ N 1) N))))) 7.870 * * * [progress]: adding candidates to table 9.215 * * [progress]: iteration 4 / 4 9.215 * * * [progress]: picking best candidate 9.229 * * * * [pick]: Picked # 9.229 * * * [progress]: localizing error 9.269 * * * [progress]: generating rewritten candidates 9.269 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 9.274 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 9.278 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 9.283 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 9.297 * * * [progress]: generating series expansions 9.297 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 9.297 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1) N))) into (log (sqrt (/ (+ N 1) N))) 9.297 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 9.297 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 9.297 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.297 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.297 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.297 * [taylor]: Taking taylor expansion of N in N 9.298 * [backup-simplify]: Simplify 0 into 0 9.298 * [backup-simplify]: Simplify 1 into 1 9.298 * [taylor]: Taking taylor expansion of 1 in N 9.298 * [backup-simplify]: Simplify 1 into 1 9.298 * [taylor]: Taking taylor expansion of N in N 9.298 * [backup-simplify]: Simplify 0 into 0 9.298 * [backup-simplify]: Simplify 1 into 1 9.298 * [backup-simplify]: Simplify (+ 0 1) into 1 9.298 * [backup-simplify]: Simplify (/ 1 1) into 1 9.299 * [backup-simplify]: Simplify (sqrt 0) into 0 9.300 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.300 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.300 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 9.300 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.300 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.300 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.300 * [taylor]: Taking taylor expansion of N in N 9.300 * [backup-simplify]: Simplify 0 into 0 9.300 * [backup-simplify]: Simplify 1 into 1 9.300 * [taylor]: Taking taylor expansion of 1 in N 9.300 * [backup-simplify]: Simplify 1 into 1 9.300 * [taylor]: Taking taylor expansion of N in N 9.300 * [backup-simplify]: Simplify 0 into 0 9.300 * [backup-simplify]: Simplify 1 into 1 9.300 * [backup-simplify]: Simplify (+ 0 1) into 1 9.300 * [backup-simplify]: Simplify (/ 1 1) into 1 9.301 * [backup-simplify]: Simplify (sqrt 0) into 0 9.301 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.302 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.302 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.302 * [backup-simplify]: Simplify (+ 1 0) into 1 9.303 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 9.305 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.308 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.308 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.309 * [backup-simplify]: Simplify (+ 0 0) into 0 9.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.319 * [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 9.319 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.319 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 9.320 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 9.320 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 9.320 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 9.320 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 9.320 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.320 * [taylor]: Taking taylor expansion of N in N 9.320 * [backup-simplify]: Simplify 0 into 0 9.320 * [backup-simplify]: Simplify 1 into 1 9.320 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.320 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.320 * [taylor]: Taking taylor expansion of N in N 9.320 * [backup-simplify]: Simplify 0 into 0 9.320 * [backup-simplify]: Simplify 1 into 1 9.320 * [backup-simplify]: Simplify (/ 1 1) into 1 9.320 * [taylor]: Taking taylor expansion of 1 in N 9.320 * [backup-simplify]: Simplify 1 into 1 9.320 * [backup-simplify]: Simplify (+ 1 0) into 1 9.321 * [backup-simplify]: Simplify (* 0 1) into 0 9.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.321 * [backup-simplify]: Simplify (+ 0 1) into 1 9.322 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.322 * [backup-simplify]: Simplify (sqrt 1) into 1 9.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.327 * [backup-simplify]: Simplify (+ 0 0) into 0 9.327 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.328 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.328 * [backup-simplify]: Simplify (log 1) into 0 9.328 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 9.328 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 9.328 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.328 * [taylor]: Taking taylor expansion of N in N 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify 1 into 1 9.328 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.328 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.328 * [taylor]: Taking taylor expansion of N in N 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify 1 into 1 9.328 * [backup-simplify]: Simplify (/ 1 1) into 1 9.328 * [taylor]: Taking taylor expansion of 1 in N 9.328 * [backup-simplify]: Simplify 1 into 1 9.329 * [backup-simplify]: Simplify (+ 1 0) into 1 9.329 * [backup-simplify]: Simplify (* 0 1) into 0 9.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.330 * [backup-simplify]: Simplify (+ 0 1) into 1 9.330 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.330 * [backup-simplify]: Simplify (sqrt 1) into 1 9.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.331 * [backup-simplify]: Simplify (+ 0 0) into 0 9.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.332 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.332 * [backup-simplify]: Simplify (log 1) into 0 9.332 * [backup-simplify]: Simplify 0 into 0 9.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 9.333 * [backup-simplify]: Simplify 1/2 into 1/2 9.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.334 * [backup-simplify]: Simplify (+ 0 0) into 0 9.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 9.335 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 9.337 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 9.337 * [backup-simplify]: Simplify -1/4 into -1/4 9.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.339 * [backup-simplify]: Simplify (+ 0 0) into 0 9.340 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 9.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 9.346 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 9.346 * [backup-simplify]: Simplify 1/6 into 1/6 9.347 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 9.347 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 9.347 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 9.347 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 9.347 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 9.347 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 9.347 * [taylor]: Taking taylor expansion of -1 in N 9.347 * [backup-simplify]: Simplify -1 into -1 9.347 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 9.347 * [taylor]: Taking taylor expansion of N in N 9.347 * [backup-simplify]: Simplify 0 into 0 9.347 * [backup-simplify]: Simplify 1 into 1 9.347 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.347 * [taylor]: Taking taylor expansion of 1 in N 9.347 * [backup-simplify]: Simplify 1 into 1 9.347 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.347 * [taylor]: Taking taylor expansion of N in N 9.347 * [backup-simplify]: Simplify 0 into 0 9.347 * [backup-simplify]: Simplify 1 into 1 9.348 * [backup-simplify]: Simplify (/ 1 1) into 1 9.348 * [backup-simplify]: Simplify (- 1) into -1 9.349 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.349 * [backup-simplify]: Simplify (* 0 -1) into 0 9.349 * [backup-simplify]: Simplify (* -1 0) into 0 9.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.351 * [backup-simplify]: Simplify (- 0) into 0 9.351 * [backup-simplify]: Simplify (+ 1 0) into 1 9.352 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 9.352 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.353 * [backup-simplify]: Simplify (sqrt 1) into 1 9.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.354 * [backup-simplify]: Simplify (- 0) into 0 9.354 * [backup-simplify]: Simplify (+ 0 0) into 0 9.355 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 9.356 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 9.357 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 9.358 * [backup-simplify]: Simplify (log 1) into 0 9.358 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 9.358 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 9.358 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 9.358 * [taylor]: Taking taylor expansion of -1 in N 9.358 * [backup-simplify]: Simplify -1 into -1 9.358 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 9.358 * [taylor]: Taking taylor expansion of N in N 9.358 * [backup-simplify]: Simplify 0 into 0 9.358 * [backup-simplify]: Simplify 1 into 1 9.358 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.358 * [taylor]: Taking taylor expansion of 1 in N 9.358 * [backup-simplify]: Simplify 1 into 1 9.358 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.358 * [taylor]: Taking taylor expansion of N in N 9.358 * [backup-simplify]: Simplify 0 into 0 9.358 * [backup-simplify]: Simplify 1 into 1 9.358 * [backup-simplify]: Simplify (/ 1 1) into 1 9.359 * [backup-simplify]: Simplify (- 1) into -1 9.359 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.360 * [backup-simplify]: Simplify (* 0 -1) into 0 9.360 * [backup-simplify]: Simplify (* -1 0) into 0 9.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.361 * [backup-simplify]: Simplify (- 0) into 0 9.361 * [backup-simplify]: Simplify (+ 1 0) into 1 9.361 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 9.362 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.362 * [backup-simplify]: Simplify (sqrt 1) into 1 9.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.363 * [backup-simplify]: Simplify (- 0) into 0 9.363 * [backup-simplify]: Simplify (+ 0 0) into 0 9.363 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 9.364 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 9.365 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 9.365 * [backup-simplify]: Simplify (log 1) into 0 9.365 * [backup-simplify]: Simplify 0 into 0 9.366 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 9.366 * [backup-simplify]: Simplify -1/2 into -1/2 9.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.367 * [backup-simplify]: Simplify (- 0) into 0 9.367 * [backup-simplify]: Simplify (+ 0 0) into 0 9.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 9.368 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 9.369 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 9.371 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 9.371 * [backup-simplify]: Simplify -1/4 into -1/4 9.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.372 * [backup-simplify]: Simplify (- 0) into 0 9.372 * [backup-simplify]: Simplify (+ 0 0) into 0 9.373 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 9.373 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 9.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 9.378 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 9.378 * [backup-simplify]: Simplify -1/6 into -1/6 9.378 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 9.378 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 9.378 * [backup-simplify]: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 9.378 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 9.378 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 9.378 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.378 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.378 * [taylor]: Taking taylor expansion of N in N 9.378 * [backup-simplify]: Simplify 0 into 0 9.378 * [backup-simplify]: Simplify 1 into 1 9.378 * [taylor]: Taking taylor expansion of 1 in N 9.378 * [backup-simplify]: Simplify 1 into 1 9.378 * [taylor]: Taking taylor expansion of N in N 9.378 * [backup-simplify]: Simplify 0 into 0 9.378 * [backup-simplify]: Simplify 1 into 1 9.379 * [backup-simplify]: Simplify (+ 0 1) into 1 9.379 * [backup-simplify]: Simplify (/ 1 1) into 1 9.379 * [backup-simplify]: Simplify (log 1) into 0 9.379 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 9.379 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.379 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.379 * [taylor]: Taking taylor expansion of N in N 9.379 * [backup-simplify]: Simplify 0 into 0 9.379 * [backup-simplify]: Simplify 1 into 1 9.379 * [taylor]: Taking taylor expansion of 1 in N 9.379 * [backup-simplify]: Simplify 1 into 1 9.379 * [taylor]: Taking taylor expansion of N in N 9.379 * [backup-simplify]: Simplify 0 into 0 9.380 * [backup-simplify]: Simplify 1 into 1 9.380 * [backup-simplify]: Simplify (+ 0 1) into 1 9.380 * [backup-simplify]: Simplify (/ 1 1) into 1 9.380 * [backup-simplify]: Simplify (log 1) into 0 9.381 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.381 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 9.381 * [backup-simplify]: Simplify (+ 1 0) into 1 9.382 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 9.382 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.382 * [backup-simplify]: Simplify 1 into 1 9.383 * [backup-simplify]: Simplify (+ 0 0) into 0 9.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.385 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.385 * [backup-simplify]: Simplify -1/2 into -1/2 9.385 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 9.385 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 9.385 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 9.385 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 9.385 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.385 * [taylor]: Taking taylor expansion of N in N 9.385 * [backup-simplify]: Simplify 0 into 0 9.385 * [backup-simplify]: Simplify 1 into 1 9.385 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.385 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.385 * [taylor]: Taking taylor expansion of N in N 9.385 * [backup-simplify]: Simplify 0 into 0 9.385 * [backup-simplify]: Simplify 1 into 1 9.385 * [backup-simplify]: Simplify (/ 1 1) into 1 9.385 * [taylor]: Taking taylor expansion of 1 in N 9.385 * [backup-simplify]: Simplify 1 into 1 9.386 * [backup-simplify]: Simplify (+ 1 0) into 1 9.386 * [backup-simplify]: Simplify (* 0 1) into 0 9.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.387 * [backup-simplify]: Simplify (+ 0 1) into 1 9.387 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.387 * [backup-simplify]: Simplify (log 1) into 0 9.387 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 9.387 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.387 * [taylor]: Taking taylor expansion of N in N 9.387 * [backup-simplify]: Simplify 0 into 0 9.387 * [backup-simplify]: Simplify 1 into 1 9.387 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.387 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.387 * [taylor]: Taking taylor expansion of N in N 9.387 * [backup-simplify]: Simplify 0 into 0 9.387 * [backup-simplify]: Simplify 1 into 1 9.388 * [backup-simplify]: Simplify (/ 1 1) into 1 9.388 * [taylor]: Taking taylor expansion of 1 in N 9.388 * [backup-simplify]: Simplify 1 into 1 9.388 * [backup-simplify]: Simplify (+ 1 0) into 1 9.388 * [backup-simplify]: Simplify (* 0 1) into 0 9.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.389 * [backup-simplify]: Simplify (+ 0 1) into 1 9.389 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.390 * [backup-simplify]: Simplify (log 1) into 0 9.390 * [backup-simplify]: Simplify 0 into 0 9.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.391 * [backup-simplify]: Simplify (+ 0 0) into 0 9.391 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.392 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.392 * [backup-simplify]: Simplify 1 into 1 9.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.393 * [backup-simplify]: Simplify (+ 0 0) into 0 9.393 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 9.395 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.395 * [backup-simplify]: Simplify -1/2 into -1/2 9.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.396 * [backup-simplify]: Simplify (+ 0 0) into 0 9.397 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 9.400 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 9.400 * [backup-simplify]: Simplify 1/3 into 1/3 9.401 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 9.401 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 9.401 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 9.401 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 9.401 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 9.401 * [taylor]: Taking taylor expansion of -1 in N 9.401 * [backup-simplify]: Simplify -1 into -1 9.401 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 9.401 * [taylor]: Taking taylor expansion of N in N 9.401 * [backup-simplify]: Simplify 0 into 0 9.401 * [backup-simplify]: Simplify 1 into 1 9.401 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.401 * [taylor]: Taking taylor expansion of 1 in N 9.401 * [backup-simplify]: Simplify 1 into 1 9.401 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.401 * [taylor]: Taking taylor expansion of N in N 9.401 * [backup-simplify]: Simplify 0 into 0 9.401 * [backup-simplify]: Simplify 1 into 1 9.401 * [backup-simplify]: Simplify (/ 1 1) into 1 9.402 * [backup-simplify]: Simplify (- 1) into -1 9.402 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.402 * [backup-simplify]: Simplify (* 0 -1) into 0 9.403 * [backup-simplify]: Simplify (* -1 0) into 0 9.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.403 * [backup-simplify]: Simplify (- 0) into 0 9.404 * [backup-simplify]: Simplify (+ 1 0) into 1 9.404 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 9.405 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.405 * [backup-simplify]: Simplify (log 1) into 0 9.405 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 9.405 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 9.405 * [taylor]: Taking taylor expansion of -1 in N 9.405 * [backup-simplify]: Simplify -1 into -1 9.405 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 9.405 * [taylor]: Taking taylor expansion of N in N 9.405 * [backup-simplify]: Simplify 0 into 0 9.405 * [backup-simplify]: Simplify 1 into 1 9.405 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.405 * [taylor]: Taking taylor expansion of 1 in N 9.405 * [backup-simplify]: Simplify 1 into 1 9.405 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.405 * [taylor]: Taking taylor expansion of N in N 9.405 * [backup-simplify]: Simplify 0 into 0 9.405 * [backup-simplify]: Simplify 1 into 1 9.406 * [backup-simplify]: Simplify (/ 1 1) into 1 9.406 * [backup-simplify]: Simplify (- 1) into -1 9.406 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.406 * [backup-simplify]: Simplify (* 0 -1) into 0 9.407 * [backup-simplify]: Simplify (* -1 0) into 0 9.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.407 * [backup-simplify]: Simplify (- 0) into 0 9.408 * [backup-simplify]: Simplify (+ 1 0) into 1 9.408 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 9.409 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.409 * [backup-simplify]: Simplify (log 1) into 0 9.409 * [backup-simplify]: Simplify 0 into 0 9.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.410 * [backup-simplify]: Simplify (- 0) into 0 9.410 * [backup-simplify]: Simplify (+ 0 0) into 0 9.410 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 9.411 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 9.412 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 9.412 * [backup-simplify]: Simplify -1 into -1 9.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.413 * [backup-simplify]: Simplify (- 0) into 0 9.413 * [backup-simplify]: Simplify (+ 0 0) into 0 9.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 9.414 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 9.416 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.416 * [backup-simplify]: Simplify -1/2 into -1/2 9.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.417 * [backup-simplify]: Simplify (- 0) into 0 9.417 * [backup-simplify]: Simplify (+ 0 0) into 0 9.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 9.418 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 9.422 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 9.422 * [backup-simplify]: Simplify -1/3 into -1/3 9.422 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 9.422 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 9.422 * [backup-simplify]: Simplify (sqrt (/ (+ N 1) N)) into (sqrt (/ (+ N 1) N)) 9.422 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 9.422 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.422 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.422 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.422 * [taylor]: Taking taylor expansion of N in N 9.422 * [backup-simplify]: Simplify 0 into 0 9.422 * [backup-simplify]: Simplify 1 into 1 9.422 * [taylor]: Taking taylor expansion of 1 in N 9.422 * [backup-simplify]: Simplify 1 into 1 9.422 * [taylor]: Taking taylor expansion of N in N 9.422 * [backup-simplify]: Simplify 0 into 0 9.422 * [backup-simplify]: Simplify 1 into 1 9.423 * [backup-simplify]: Simplify (+ 0 1) into 1 9.423 * [backup-simplify]: Simplify (/ 1 1) into 1 9.423 * [backup-simplify]: Simplify (sqrt 0) into 0 9.428 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.428 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.428 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.428 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.428 * [taylor]: Taking taylor expansion of N in N 9.428 * [backup-simplify]: Simplify 0 into 0 9.428 * [backup-simplify]: Simplify 1 into 1 9.428 * [taylor]: Taking taylor expansion of 1 in N 9.428 * [backup-simplify]: Simplify 1 into 1 9.428 * [taylor]: Taking taylor expansion of N in N 9.428 * [backup-simplify]: Simplify 0 into 0 9.428 * [backup-simplify]: Simplify 1 into 1 9.429 * [backup-simplify]: Simplify (+ 0 1) into 1 9.429 * [backup-simplify]: Simplify (/ 1 1) into 1 9.429 * [backup-simplify]: Simplify (sqrt 0) into 0 9.430 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.430 * [backup-simplify]: Simplify 0 into 0 9.430 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.430 * [backup-simplify]: Simplify (+ 1 0) into 1 9.431 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 9.432 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.433 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.433 * [backup-simplify]: Simplify (+ 0 0) into 0 9.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.435 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.435 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.436 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 9.436 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 9.436 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 9.436 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 9.436 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.436 * [taylor]: Taking taylor expansion of N in N 9.436 * [backup-simplify]: Simplify 0 into 0 9.436 * [backup-simplify]: Simplify 1 into 1 9.436 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.436 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.436 * [taylor]: Taking taylor expansion of N in N 9.436 * [backup-simplify]: Simplify 0 into 0 9.436 * [backup-simplify]: Simplify 1 into 1 9.436 * [backup-simplify]: Simplify (/ 1 1) into 1 9.436 * [taylor]: Taking taylor expansion of 1 in N 9.436 * [backup-simplify]: Simplify 1 into 1 9.436 * [backup-simplify]: Simplify (+ 1 0) into 1 9.437 * [backup-simplify]: Simplify (* 0 1) into 0 9.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.437 * [backup-simplify]: Simplify (+ 0 1) into 1 9.438 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.438 * [backup-simplify]: Simplify (sqrt 1) into 1 9.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.439 * [backup-simplify]: Simplify (+ 0 0) into 0 9.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.440 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.440 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 9.440 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.440 * [taylor]: Taking taylor expansion of N in N 9.440 * [backup-simplify]: Simplify 0 into 0 9.440 * [backup-simplify]: Simplify 1 into 1 9.440 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.440 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.440 * [taylor]: Taking taylor expansion of N in N 9.440 * [backup-simplify]: Simplify 0 into 0 9.440 * [backup-simplify]: Simplify 1 into 1 9.440 * [backup-simplify]: Simplify (/ 1 1) into 1 9.440 * [taylor]: Taking taylor expansion of 1 in N 9.440 * [backup-simplify]: Simplify 1 into 1 9.440 * [backup-simplify]: Simplify (+ 1 0) into 1 9.441 * [backup-simplify]: Simplify (* 0 1) into 0 9.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.441 * [backup-simplify]: Simplify (+ 0 1) into 1 9.442 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.442 * [backup-simplify]: Simplify (sqrt 1) into 1 9.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.443 * [backup-simplify]: Simplify (+ 0 0) into 0 9.443 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.444 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.444 * [backup-simplify]: Simplify 1 into 1 9.444 * [backup-simplify]: Simplify 1/2 into 1/2 9.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.445 * [backup-simplify]: Simplify (+ 0 0) into 0 9.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 9.446 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 9.446 * [backup-simplify]: Simplify -1/8 into -1/8 9.446 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 9.446 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 9.446 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 9.446 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 9.446 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 9.446 * [taylor]: Taking taylor expansion of -1 in N 9.446 * [backup-simplify]: Simplify -1 into -1 9.446 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 9.446 * [taylor]: Taking taylor expansion of N in N 9.446 * [backup-simplify]: Simplify 0 into 0 9.446 * [backup-simplify]: Simplify 1 into 1 9.446 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.446 * [taylor]: Taking taylor expansion of 1 in N 9.446 * [backup-simplify]: Simplify 1 into 1 9.446 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.446 * [taylor]: Taking taylor expansion of N in N 9.446 * [backup-simplify]: Simplify 0 into 0 9.446 * [backup-simplify]: Simplify 1 into 1 9.447 * [backup-simplify]: Simplify (/ 1 1) into 1 9.447 * [backup-simplify]: Simplify (- 1) into -1 9.447 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.447 * [backup-simplify]: Simplify (* 0 -1) into 0 9.448 * [backup-simplify]: Simplify (* -1 0) into 0 9.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.448 * [backup-simplify]: Simplify (- 0) into 0 9.449 * [backup-simplify]: Simplify (+ 1 0) into 1 9.449 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 9.449 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.450 * [backup-simplify]: Simplify (sqrt 1) into 1 9.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.450 * [backup-simplify]: Simplify (- 0) into 0 9.451 * [backup-simplify]: Simplify (+ 0 0) into 0 9.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 9.452 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 9.452 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 9.452 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 9.452 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 9.452 * [taylor]: Taking taylor expansion of -1 in N 9.452 * [backup-simplify]: Simplify -1 into -1 9.452 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 9.452 * [taylor]: Taking taylor expansion of N in N 9.452 * [backup-simplify]: Simplify 0 into 0 9.452 * [backup-simplify]: Simplify 1 into 1 9.452 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.452 * [taylor]: Taking taylor expansion of 1 in N 9.452 * [backup-simplify]: Simplify 1 into 1 9.452 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.452 * [taylor]: Taking taylor expansion of N in N 9.452 * [backup-simplify]: Simplify 0 into 0 9.452 * [backup-simplify]: Simplify 1 into 1 9.453 * [backup-simplify]: Simplify (/ 1 1) into 1 9.453 * [backup-simplify]: Simplify (- 1) into -1 9.453 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.453 * [backup-simplify]: Simplify (* 0 -1) into 0 9.454 * [backup-simplify]: Simplify (* -1 0) into 0 9.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.454 * [backup-simplify]: Simplify (- 0) into 0 9.455 * [backup-simplify]: Simplify (+ 1 0) into 1 9.455 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 9.455 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.456 * [backup-simplify]: Simplify (sqrt 1) into 1 9.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.456 * [backup-simplify]: Simplify (- 0) into 0 9.456 * [backup-simplify]: Simplify (+ 0 0) into 0 9.457 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 9.458 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 9.458 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 9.458 * [backup-simplify]: Simplify 1 into 1 9.458 * [backup-simplify]: Simplify -1/2 into -1/2 9.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.459 * [backup-simplify]: Simplify (- 0) into 0 9.459 * [backup-simplify]: Simplify (+ 0 0) into 0 9.460 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 9.461 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 9.461 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 9.461 * [backup-simplify]: Simplify -1/8 into -1/8 9.461 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 9.461 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 9.462 * [backup-simplify]: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 9.462 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 9.462 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.462 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.462 * [taylor]: Taking taylor expansion of N in N 9.462 * [backup-simplify]: Simplify 0 into 0 9.462 * [backup-simplify]: Simplify 1 into 1 9.462 * [taylor]: Taking taylor expansion of 1 in N 9.462 * [backup-simplify]: Simplify 1 into 1 9.462 * [taylor]: Taking taylor expansion of N in N 9.462 * [backup-simplify]: Simplify 0 into 0 9.462 * [backup-simplify]: Simplify 1 into 1 9.462 * [backup-simplify]: Simplify (+ 0 1) into 1 9.462 * [backup-simplify]: Simplify (/ 1 1) into 1 9.462 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.462 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.462 * [taylor]: Taking taylor expansion of N in N 9.462 * [backup-simplify]: Simplify 0 into 0 9.462 * [backup-simplify]: Simplify 1 into 1 9.462 * [taylor]: Taking taylor expansion of 1 in N 9.462 * [backup-simplify]: Simplify 1 into 1 9.462 * [taylor]: Taking taylor expansion of N in N 9.462 * [backup-simplify]: Simplify 0 into 0 9.462 * [backup-simplify]: Simplify 1 into 1 9.463 * [backup-simplify]: Simplify (+ 0 1) into 1 9.463 * [backup-simplify]: Simplify (/ 1 1) into 1 9.463 * [backup-simplify]: Simplify 1 into 1 9.463 * [backup-simplify]: Simplify (+ 1 0) into 1 9.464 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 9.464 * [backup-simplify]: Simplify 1 into 1 9.464 * [backup-simplify]: Simplify (+ 0 0) into 0 9.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.465 * [backup-simplify]: Simplify 0 into 0 9.466 * [backup-simplify]: Simplify (+ 0 0) into 0 9.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.467 * [backup-simplify]: Simplify 0 into 0 9.467 * [backup-simplify]: Simplify (+ 0 0) into 0 9.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.468 * [backup-simplify]: Simplify 0 into 0 9.468 * [backup-simplify]: Simplify (+ 0 0) into 0 9.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.469 * [backup-simplify]: Simplify 0 into 0 9.470 * [backup-simplify]: Simplify (+ 0 0) into 0 9.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.471 * [backup-simplify]: Simplify 0 into 0 9.472 * [backup-simplify]: Simplify (+ 0 0) into 0 9.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.473 * [backup-simplify]: Simplify 0 into 0 9.473 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 9.473 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 9.473 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 9.473 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.473 * [taylor]: Taking taylor expansion of N in N 9.473 * [backup-simplify]: Simplify 0 into 0 9.473 * [backup-simplify]: Simplify 1 into 1 9.473 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.473 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.473 * [taylor]: Taking taylor expansion of N in N 9.473 * [backup-simplify]: Simplify 0 into 0 9.473 * [backup-simplify]: Simplify 1 into 1 9.474 * [backup-simplify]: Simplify (/ 1 1) into 1 9.474 * [taylor]: Taking taylor expansion of 1 in N 9.474 * [backup-simplify]: Simplify 1 into 1 9.474 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.474 * [taylor]: Taking taylor expansion of N in N 9.474 * [backup-simplify]: Simplify 0 into 0 9.474 * [backup-simplify]: Simplify 1 into 1 9.474 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.474 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.474 * [taylor]: Taking taylor expansion of N in N 9.474 * [backup-simplify]: Simplify 0 into 0 9.474 * [backup-simplify]: Simplify 1 into 1 9.474 * [backup-simplify]: Simplify (/ 1 1) into 1 9.474 * [taylor]: Taking taylor expansion of 1 in N 9.474 * [backup-simplify]: Simplify 1 into 1 9.475 * [backup-simplify]: Simplify (+ 1 0) into 1 9.475 * [backup-simplify]: Simplify (* 0 1) into 0 9.475 * [backup-simplify]: Simplify 0 into 0 9.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.477 * [backup-simplify]: Simplify (+ 0 1) into 1 9.478 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.478 * [backup-simplify]: Simplify 1 into 1 9.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.479 * [backup-simplify]: Simplify (+ 0 0) into 0 9.480 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.480 * [backup-simplify]: Simplify 1 into 1 9.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.481 * [backup-simplify]: Simplify (+ 0 0) into 0 9.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 9.482 * [backup-simplify]: Simplify 0 into 0 9.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.484 * [backup-simplify]: Simplify (+ 0 0) into 0 9.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 9.485 * [backup-simplify]: Simplify 0 into 0 9.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.486 * [backup-simplify]: Simplify (+ 0 0) into 0 9.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 9.488 * [backup-simplify]: Simplify 0 into 0 9.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.489 * [backup-simplify]: Simplify (+ 0 0) into 0 9.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 9.491 * [backup-simplify]: Simplify 0 into 0 9.492 * [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 9.492 * [backup-simplify]: Simplify (+ 0 0) into 0 9.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 9.494 * [backup-simplify]: Simplify 0 into 0 9.495 * [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 9.495 * [backup-simplify]: Simplify (+ 0 0) into 0 9.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 9.497 * [backup-simplify]: Simplify 0 into 0 9.498 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 9.498 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 9.498 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 9.498 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 9.498 * [taylor]: Taking taylor expansion of -1 in N 9.498 * [backup-simplify]: Simplify -1 into -1 9.498 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 9.498 * [taylor]: Taking taylor expansion of N in N 9.498 * [backup-simplify]: Simplify 0 into 0 9.498 * [backup-simplify]: Simplify 1 into 1 9.498 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.498 * [taylor]: Taking taylor expansion of 1 in N 9.498 * [backup-simplify]: Simplify 1 into 1 9.498 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.498 * [taylor]: Taking taylor expansion of N in N 9.498 * [backup-simplify]: Simplify 0 into 0 9.498 * [backup-simplify]: Simplify 1 into 1 9.499 * [backup-simplify]: Simplify (/ 1 1) into 1 9.499 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 9.499 * [taylor]: Taking taylor expansion of -1 in N 9.499 * [backup-simplify]: Simplify -1 into -1 9.499 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 9.499 * [taylor]: Taking taylor expansion of N in N 9.499 * [backup-simplify]: Simplify 0 into 0 9.499 * [backup-simplify]: Simplify 1 into 1 9.499 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.499 * [taylor]: Taking taylor expansion of 1 in N 9.499 * [backup-simplify]: Simplify 1 into 1 9.499 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.499 * [taylor]: Taking taylor expansion of N in N 9.499 * [backup-simplify]: Simplify 0 into 0 9.499 * [backup-simplify]: Simplify 1 into 1 9.499 * [backup-simplify]: Simplify (/ 1 1) into 1 9.500 * [backup-simplify]: Simplify (- 1) into -1 9.500 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.501 * [backup-simplify]: Simplify (* 0 -1) into 0 9.501 * [backup-simplify]: Simplify (* -1 0) into 0 9.501 * [backup-simplify]: Simplify 0 into 0 9.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.502 * [backup-simplify]: Simplify (- 0) into 0 9.503 * [backup-simplify]: Simplify (+ 1 0) into 1 9.504 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 9.504 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.504 * [backup-simplify]: Simplify 1 into 1 9.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.505 * [backup-simplify]: Simplify (- 0) into 0 9.506 * [backup-simplify]: Simplify (+ 0 0) into 0 9.507 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 9.508 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 9.508 * [backup-simplify]: Simplify -1 into -1 9.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.509 * [backup-simplify]: Simplify (- 0) into 0 9.510 * [backup-simplify]: Simplify (+ 0 0) into 0 9.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 9.512 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 9.512 * [backup-simplify]: Simplify 0 into 0 9.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.514 * [backup-simplify]: Simplify (- 0) into 0 9.514 * [backup-simplify]: Simplify (+ 0 0) into 0 9.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 9.517 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 9.517 * [backup-simplify]: Simplify 0 into 0 9.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.519 * [backup-simplify]: Simplify (- 0) into 0 9.519 * [backup-simplify]: Simplify (+ 0 0) into 0 9.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 9.522 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 9.522 * [backup-simplify]: Simplify 0 into 0 9.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.524 * [backup-simplify]: Simplify (- 0) into 0 9.524 * [backup-simplify]: Simplify (+ 0 0) into 0 9.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 9.528 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 9.528 * [backup-simplify]: Simplify 0 into 0 9.529 * [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 9.529 * [backup-simplify]: Simplify (- 0) into 0 9.530 * [backup-simplify]: Simplify (+ 0 0) into 0 9.532 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 9.534 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 9.534 * [backup-simplify]: Simplify 0 into 0 9.535 * [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 9.535 * [backup-simplify]: Simplify (- 0) into 0 9.536 * [backup-simplify]: Simplify (+ 0 0) into 0 9.538 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 9.540 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 9.540 * [backup-simplify]: Simplify 0 into 0 9.540 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 9.541 * * * [progress]: simplifying candidates 9.541 * * * * [progress]: [ 1 / 135 ] simplifiying candidate # 9.541 * [simplify]: Simplifying (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 9.541 * * [simplify]: iters left: 6 (8 enodes) 9.546 * * [simplify]: iters left: 5 (29 enodes) 9.561 * * [simplify]: iters left: 4 (33 enodes) 9.570 * * [simplify]: Extracting #0: cost 1 inf + 0 9.570 * * [simplify]: Extracting #1: cost 4 inf + 0 9.570 * * [simplify]: Extracting #2: cost 7 inf + 0 9.570 * * [simplify]: Extracting #3: cost 9 inf + 0 9.570 * * [simplify]: Extracting #4: cost 11 inf + 0 9.570 * * [simplify]: Extracting #5: cost 14 inf + 0 9.570 * * [simplify]: Extracting #6: cost 15 inf + 1 9.570 * * [simplify]: Extracting #7: cost 14 inf + 2 9.570 * * [simplify]: Extracting #8: cost 11 inf + 168 9.571 * * [simplify]: Extracting #9: cost 7 inf + 696 9.571 * * [simplify]: Extracting #10: cost 0 inf + 2550 9.572 * [simplify]: Simplified to (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 9.572 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) (log (cbrt (sqrt (/ (+ N 1) N))))))) 9.572 * * * * [progress]: [ 2 / 135 ] simplifiying candidate # 9.572 * [simplify]: Simplifying (log (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))))) 9.572 * * [simplify]: iters left: 6 (8 enodes) 9.577 * * [simplify]: iters left: 5 (28 enodes) 9.588 * * [simplify]: iters left: 4 (30 enodes) 9.592 * * [simplify]: Extracting #0: cost 1 inf + 0 9.592 * * [simplify]: Extracting #1: cost 3 inf + 0 9.592 * * [simplify]: Extracting #2: cost 6 inf + 0 9.592 * * [simplify]: Extracting #3: cost 9 inf + 0 9.592 * * [simplify]: Extracting #4: cost 12 inf + 0 9.592 * * [simplify]: Extracting #5: cost 13 inf + 1 9.592 * * [simplify]: Extracting #6: cost 12 inf + 2 9.593 * * [simplify]: Extracting #7: cost 8 inf + 250 9.593 * * [simplify]: Extracting #8: cost 4 inf + 1088 9.593 * * [simplify]: Extracting #9: cost 0 inf + 1926 9.593 * [simplify]: Simplified to (log (fabs (cbrt (/ (+ 1 N) N)))) 9.593 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (log (fabs (cbrt (/ (+ 1 N) N)))) (log (sqrt (cbrt (/ (+ N 1) N))))))) 9.593 * * * * [progress]: [ 3 / 135 ] simplifiying candidate # 9.594 * [simplify]: Simplifying (log (sqrt (sqrt (/ (+ N 1) N)))) 9.594 * * [simplify]: iters left: 6 (7 enodes) 9.595 * * [simplify]: iters left: 5 (24 enodes) 9.599 * * [simplify]: iters left: 4 (26 enodes) 9.603 * * [simplify]: Extracting #0: cost 1 inf + 0 9.603 * * [simplify]: Extracting #1: cost 3 inf + 0 9.603 * * [simplify]: Extracting #2: cost 5 inf + 0 9.603 * * [simplify]: Extracting #3: cost 7 inf + 0 9.603 * * [simplify]: Extracting #4: cost 10 inf + 0 9.603 * * [simplify]: Extracting #5: cost 11 inf + 1 9.603 * * [simplify]: Extracting #6: cost 10 inf + 2 9.603 * * [simplify]: Extracting #7: cost 6 inf + 250 9.603 * * [simplify]: Extracting #8: cost 2 inf + 888 9.604 * * [simplify]: Extracting #9: cost 0 inf + 1282 9.604 * [simplify]: Simplified to (log (sqrt (sqrt (/ (+ 1 N) N)))) 9.604 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ N 1) N))))))) 9.604 * * * * [progress]: [ 4 / 135 ] simplifiying candidate # 9.604 * [simplify]: Simplifying (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))))) 9.604 * * [simplify]: iters left: 6 (10 enodes) 9.607 * * [simplify]: iters left: 5 (39 enodes) 9.613 * * [simplify]: iters left: 4 (57 enodes) 9.623 * * [simplify]: iters left: 3 (64 enodes) 9.632 * * [simplify]: iters left: 2 (67 enodes) 9.642 * * [simplify]: Extracting #0: cost 1 inf + 0 9.642 * * [simplify]: Extracting #1: cost 3 inf + 0 9.642 * * [simplify]: Extracting #2: cost 6 inf + 0 9.642 * * [simplify]: Extracting #3: cost 16 inf + 0 9.642 * * [simplify]: Extracting #4: cost 26 inf + 0 9.642 * * [simplify]: Extracting #5: cost 26 inf + 82 9.643 * * [simplify]: Extracting #6: cost 22 inf + 406 9.643 * * [simplify]: Extracting #7: cost 13 inf + 1864 9.644 * * [simplify]: Extracting #8: cost 1 inf + 5198 9.644 * * [simplify]: Extracting #9: cost 0 inf + 5550 9.645 * [simplify]: Simplified to (log (fabs (/ (cbrt (+ 1 N)) (cbrt N)))) 9.645 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (log (fabs (/ (cbrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1)) (cbrt N))))))) 9.645 * * * * [progress]: [ 5 / 135 ] simplifiying candidate # 9.645 * [simplify]: Simplifying (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)))) 9.646 * * [simplify]: iters left: 6 (9 enodes) 9.648 * * [simplify]: iters left: 5 (32 enodes) 9.652 * * [simplify]: iters left: 4 (38 enodes) 9.660 * * [simplify]: iters left: 3 (41 enodes) 9.665 * * [simplify]: Extracting #0: cost 1 inf + 0 9.665 * * [simplify]: Extracting #1: cost 3 inf + 0 9.665 * * [simplify]: Extracting #2: cost 5 inf + 0 9.665 * * [simplify]: Extracting #3: cost 11 inf + 0 9.665 * * [simplify]: Extracting #4: cost 18 inf + 0 9.665 * * [simplify]: Extracting #5: cost 17 inf + 83 9.665 * * [simplify]: Extracting #6: cost 16 inf + 84 9.666 * * [simplify]: Extracting #7: cost 11 inf + 694 9.666 * * [simplify]: Extracting #8: cost 4 inf + 2148 9.666 * * [simplify]: Extracting #9: cost 0 inf + 3296 9.667 * [simplify]: Simplified to (log (sqrt (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N))))) 9.667 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (log (sqrt (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N))))) (log (sqrt (/ (cbrt (+ N 1)) (sqrt N))))))) 9.667 * * * * [progress]: [ 6 / 135 ] simplifiying candidate # 9.667 * [simplify]: Simplifying (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1))) 9.667 * * [simplify]: iters left: 6 (8 enodes) 9.669 * * [simplify]: iters left: 5 (27 enodes) 9.673 * * [simplify]: iters left: 4 (38 enodes) 9.681 * * [simplify]: iters left: 3 (39 enodes) 9.691 * * [simplify]: Extracting #0: cost 1 inf + 0 9.691 * * [simplify]: Extracting #1: cost 3 inf + 0 9.691 * * [simplify]: Extracting #2: cost 6 inf + 0 9.692 * * [simplify]: Extracting #3: cost 11 inf + 0 9.692 * * [simplify]: Extracting #4: cost 13 inf + 1 9.692 * * [simplify]: Extracting #5: cost 12 inf + 2 9.692 * * [simplify]: Extracting #6: cost 8 inf + 370 9.692 * * [simplify]: Extracting #7: cost 2 inf + 1372 9.693 * * [simplify]: Extracting #8: cost 0 inf + 1766 9.693 * [simplify]: Simplified to (log (fabs (cbrt (+ 1 N)))) 9.693 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (log (fabs (cbrt (+ 1 N)))) (log (sqrt (/ (cbrt (+ N 1)) N)))))) 9.694 * * * * [progress]: [ 7 / 135 ] simplifiying candidate # 9.694 * [simplify]: Simplifying (log (sqrt (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))))) 9.694 * * [simplify]: iters left: 6 (9 enodes) 9.698 * * [simplify]: iters left: 5 (32 enodes) 9.707 * * [simplify]: iters left: 4 (36 enodes) 9.717 * * [simplify]: Extracting #0: cost 1 inf + 0 9.717 * * [simplify]: Extracting #1: cost 3 inf + 0 9.718 * * [simplify]: Extracting #2: cost 5 inf + 0 9.718 * * [simplify]: Extracting #3: cost 10 inf + 0 9.718 * * [simplify]: Extracting #4: cost 16 inf + 0 9.718 * * [simplify]: Extracting #5: cost 17 inf + 1 9.718 * * [simplify]: Extracting #6: cost 13 inf + 325 9.718 * * [simplify]: Extracting #7: cost 7 inf + 976 9.719 * * [simplify]: Extracting #8: cost 3 inf + 1824 9.719 * * [simplify]: Extracting #9: cost 0 inf + 2810 9.720 * [simplify]: Simplified to (log (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))))) 9.720 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (log (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1)) (cbrt N))))))) 9.720 * * * * [progress]: [ 8 / 135 ] simplifiying candidate # 9.721 * [simplify]: Simplifying (log (sqrt (/ (sqrt (+ N 1)) (sqrt N)))) 9.721 * * [simplify]: iters left: 6 (8 enodes) 9.725 * * [simplify]: iters left: 5 (27 enodes) 9.732 * * [simplify]: iters left: 4 (29 enodes) 9.741 * * [simplify]: Extracting #0: cost 1 inf + 0 9.741 * * [simplify]: Extracting #1: cost 3 inf + 0 9.741 * * [simplify]: Extracting #2: cost 5 inf + 0 9.741 * * [simplify]: Extracting #3: cost 8 inf + 0 9.741 * * [simplify]: Extracting #4: cost 12 inf + 0 9.741 * * [simplify]: Extracting #5: cost 13 inf + 1 9.741 * * [simplify]: Extracting #6: cost 10 inf + 84 9.741 * * [simplify]: Extracting #7: cost 6 inf + 412 9.742 * * [simplify]: Extracting #8: cost 1 inf + 1332 9.742 * * [simplify]: Extracting #9: cost 0 inf + 1604 9.743 * [simplify]: Simplified to (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) 9.743 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (sqrt N))))))) 9.743 * * * * [progress]: [ 9 / 135 ] simplifiying candidate # 9.743 * [simplify]: Simplifying (log (sqrt (/ (sqrt (+ N 1)) 1))) 9.743 * * [simplify]: iters left: 6 (7 enodes) 9.745 * * [simplify]: iters left: 5 (22 enodes) 9.749 * * [simplify]: iters left: 4 (24 enodes) 9.753 * * [simplify]: Extracting #0: cost 1 inf + 0 9.753 * * [simplify]: Extracting #1: cost 3 inf + 0 9.753 * * [simplify]: Extracting #2: cost 5 inf + 0 9.753 * * [simplify]: Extracting #3: cost 8 inf + 0 9.753 * * [simplify]: Extracting #4: cost 9 inf + 1 9.753 * * [simplify]: Extracting #5: cost 8 inf + 2 9.753 * * [simplify]: Extracting #6: cost 1 inf + 686 9.753 * * [simplify]: Extracting #7: cost 0 inf + 878 9.754 * [simplify]: Simplified to (log (sqrt (sqrt (+ 1 N)))) 9.754 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (/ (sqrt (+ N 1)) N)))))) 9.754 * * * * [progress]: [ 10 / 135 ] simplifiying candidate # 9.754 * [simplify]: Simplifying (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) 9.754 * * [simplify]: iters left: 6 (7 enodes) 9.756 * * [simplify]: iters left: 5 (25 enodes) 9.760 * * [simplify]: iters left: 4 (29 enodes) 9.764 * * [simplify]: Extracting #0: cost 1 inf + 0 9.764 * * [simplify]: Extracting #1: cost 3 inf + 0 9.764 * * [simplify]: Extracting #2: cost 5 inf + 0 9.764 * * [simplify]: Extracting #3: cost 10 inf + 0 9.764 * * [simplify]: Extracting #4: cost 13 inf + 1 9.764 * * [simplify]: Extracting #5: cost 12 inf + 2 9.764 * * [simplify]: Extracting #6: cost 7 inf + 528 9.765 * * [simplify]: Extracting #7: cost 4 inf + 1014 9.765 * * [simplify]: Extracting #8: cost 1 inf + 1650 9.765 * * [simplify]: Extracting #9: cost 0 inf + 1922 9.765 * [simplify]: Simplified to (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) 9.765 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1) (cbrt N))))))) 9.765 * * * * [progress]: [ 11 / 135 ] simplifiying candidate # 9.766 * [simplify]: Simplifying (log (sqrt (/ 1 (sqrt N)))) 9.766 * * [simplify]: iters left: 5 (6 enodes) 9.767 * * [simplify]: iters left: 4 (20 enodes) 9.770 * * [simplify]: iters left: 3 (22 enodes) 9.775 * * [simplify]: Extracting #0: cost 1 inf + 0 9.775 * * [simplify]: Extracting #1: cost 3 inf + 0 9.775 * * [simplify]: Extracting #2: cost 5 inf + 0 9.775 * * [simplify]: Extracting #3: cost 8 inf + 0 9.776 * * [simplify]: Extracting #4: cost 9 inf + 1 9.776 * * [simplify]: Extracting #5: cost 8 inf + 2 9.776 * * [simplify]: Extracting #6: cost 1 inf + 684 9.776 * * [simplify]: Extracting #7: cost 0 inf + 876 9.776 * [simplify]: Simplified to (log (sqrt (/ 1 (sqrt N)))) 9.776 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1) (sqrt N))))))) 9.776 * * * * [progress]: [ 12 / 135 ] simplifiying candidate # 9.776 * [simplify]: Simplifying (log (sqrt (/ 1 1))) 9.776 * * [simplify]: iters left: 4 (4 enodes) 9.779 * * [simplify]: iters left: 3 (12 enodes) 9.781 * * [simplify]: Extracting #0: cost 1 inf + 0 9.781 * * [simplify]: Extracting #1: cost 0 inf + 1 9.782 * [simplify]: Simplified to 0 9.782 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ 0 (log (sqrt (/ (+ N 1) N)))))) 9.782 * * * * [progress]: [ 13 / 135 ] simplifiying candidate # 9.782 * [simplify]: Simplifying (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) 9.782 * * [simplify]: iters left: 6 (7 enodes) 9.785 * * [simplify]: iters left: 5 (25 enodes) 9.793 * * [simplify]: iters left: 4 (29 enodes) 9.797 * * [simplify]: Extracting #0: cost 1 inf + 0 9.797 * * [simplify]: Extracting #1: cost 3 inf + 0 9.797 * * [simplify]: Extracting #2: cost 5 inf + 0 9.797 * * [simplify]: Extracting #3: cost 10 inf + 0 9.797 * * [simplify]: Extracting #4: cost 13 inf + 1 9.797 * * [simplify]: Extracting #5: cost 12 inf + 2 9.797 * * [simplify]: Extracting #6: cost 7 inf + 528 9.797 * * [simplify]: Extracting #7: cost 4 inf + 1014 9.798 * * [simplify]: Extracting #8: cost 1 inf + 1650 9.798 * * [simplify]: Extracting #9: cost 0 inf + 1922 9.798 * [simplify]: Simplified to (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) 9.798 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1) (cbrt N))))))) 9.798 * * * * [progress]: [ 14 / 135 ] simplifiying candidate # 9.798 * [simplify]: Simplifying (log (sqrt (/ 1 (sqrt N)))) 9.798 * * [simplify]: iters left: 5 (6 enodes) 9.801 * * [simplify]: iters left: 4 (20 enodes) 9.805 * * [simplify]: iters left: 3 (22 enodes) 9.808 * * [simplify]: Extracting #0: cost 1 inf + 0 9.808 * * [simplify]: Extracting #1: cost 3 inf + 0 9.808 * * [simplify]: Extracting #2: cost 5 inf + 0 9.809 * * [simplify]: Extracting #3: cost 8 inf + 0 9.809 * * [simplify]: Extracting #4: cost 9 inf + 1 9.809 * * [simplify]: Extracting #5: cost 8 inf + 2 9.809 * * [simplify]: Extracting #6: cost 1 inf + 684 9.809 * * [simplify]: Extracting #7: cost 0 inf + 876 9.809 * [simplify]: Simplified to (log (sqrt (/ 1 (sqrt N)))) 9.809 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1) (sqrt N))))))) 9.809 * * * * [progress]: [ 15 / 135 ] simplifiying candidate # 9.809 * [simplify]: Simplifying (log (sqrt (/ 1 1))) 9.809 * * [simplify]: iters left: 4 (4 enodes) 9.812 * * [simplify]: iters left: 3 (12 enodes) 9.813 * * [simplify]: Extracting #0: cost 1 inf + 0 9.813 * * [simplify]: Extracting #1: cost 0 inf + 1 9.813 * [simplify]: Simplified to 0 9.813 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ 0 (log (sqrt (/ (+ N 1) N)))))) 9.814 * * * * [progress]: [ 16 / 135 ] simplifiying candidate # 9.814 * [simplify]: Simplifying (log (sqrt 1)) 9.814 * * [simplify]: iters left: 2 (3 enodes) 9.816 * * [simplify]: iters left: 1 (11 enodes) 9.817 * * [simplify]: Extracting #0: cost 1 inf + 0 9.818 * * [simplify]: Extracting #1: cost 0 inf + 1 9.818 * [simplify]: Simplified to 0 9.818 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ 0 (log (sqrt (/ (+ N 1) N)))))) 9.818 * * * * [progress]: [ 17 / 135 ] simplifiying candidate # 9.818 * [simplify]: Simplifying (log (sqrt (+ N 1))) 9.818 * * [simplify]: iters left: 4 (5 enodes) 9.819 * * [simplify]: iters left: 3 (18 enodes) 9.822 * * [simplify]: iters left: 2 (20 enodes) 9.826 * * [simplify]: Extracting #0: cost 1 inf + 0 9.826 * * [simplify]: Extracting #1: cost 3 inf + 0 9.826 * * [simplify]: Extracting #2: cost 5 inf + 0 9.826 * * [simplify]: Extracting #3: cost 8 inf + 0 9.826 * * [simplify]: Extracting #4: cost 6 inf + 2 9.826 * * [simplify]: Extracting #5: cost 0 inf + 554 9.826 * [simplify]: Simplified to (log (sqrt (+ 1 N))) 9.827 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (log (sqrt (+ 1 N))) (log (sqrt (/ 1 N)))))) 9.827 * * * * [progress]: [ 18 / 135 ] simplifiying candidate # 9.827 * [simplify]: Simplifying (log (sqrt (sqrt (/ (+ N 1) N)))) 9.827 * * [simplify]: iters left: 6 (7 enodes) 9.831 * * [simplify]: iters left: 5 (24 enodes) 9.838 * * [simplify]: iters left: 4 (26 enodes) 9.845 * * [simplify]: Extracting #0: cost 1 inf + 0 9.845 * * [simplify]: Extracting #1: cost 3 inf + 0 9.845 * * [simplify]: Extracting #2: cost 5 inf + 0 9.845 * * [simplify]: Extracting #3: cost 7 inf + 0 9.845 * * [simplify]: Extracting #4: cost 10 inf + 0 9.846 * * [simplify]: Extracting #5: cost 11 inf + 1 9.846 * * [simplify]: Extracting #6: cost 10 inf + 2 9.846 * * [simplify]: Extracting #7: cost 6 inf + 250 9.846 * * [simplify]: Extracting #8: cost 2 inf + 888 9.847 * * [simplify]: Extracting #9: cost 0 inf + 1282 9.847 * [simplify]: Simplified to (log (sqrt (sqrt (/ (+ 1 N) N)))) 9.847 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ N 1) N))))))) 9.847 * * * * [progress]: [ 19 / 135 ] simplifiying candidate # 9.848 * [simplify]: Simplifying (log 1) 9.848 * * [simplify]: iters left: 1 (2 enodes) 9.850 * * [simplify]: Extracting #0: cost 1 inf + 0 9.850 * * [simplify]: Extracting #1: cost 0 inf + 1 9.850 * [simplify]: Simplified to 0 9.850 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ 0 (log (sqrt (/ (+ N 1) N)))))) 9.850 * * * * [progress]: [ 20 / 135 ] simplifiying candidate # 9.850 * [simplify]: Simplifying (log (sqrt (+ N 1))) 9.850 * * [simplify]: iters left: 4 (5 enodes) 9.853 * * [simplify]: iters left: 3 (18 enodes) 9.858 * * [simplify]: iters left: 2 (20 enodes) 9.864 * * [simplify]: Extracting #0: cost 1 inf + 0 9.864 * * [simplify]: Extracting #1: cost 3 inf + 0 9.864 * * [simplify]: Extracting #2: cost 5 inf + 0 9.864 * * [simplify]: Extracting #3: cost 8 inf + 0 9.864 * * [simplify]: Extracting #4: cost 6 inf + 2 9.865 * * [simplify]: Extracting #5: cost 0 inf + 554 9.865 * [simplify]: Simplified to (log (sqrt (+ 1 N))) 9.865 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (- (log (sqrt (+ 1 N))) (log (sqrt N))))) 9.865 * * * * [progress]: [ 21 / 135 ] simplifiying candidate # 9.865 * * * * [progress]: [ 22 / 135 ] simplifiying candidate # 9.865 * * * * [progress]: [ 23 / 135 ] simplifiying candidate # 9.865 * [simplify]: Simplifying (/ 1 2) 9.866 * * [simplify]: iters left: 2 (3 enodes) 9.869 * * [simplify]: iters left: 1 (12 enodes) 9.873 * * [simplify]: Extracting #0: cost 1 inf + 0 9.873 * * [simplify]: Extracting #1: cost 0 inf + 1 9.873 * [simplify]: Simplified to 1/2 9.873 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (* 1/2 (log (/ (+ N 1) N))))) 9.873 * * * * [progress]: [ 24 / 135 ] simplifiying candidate # 9.873 * * * * [progress]: [ 25 / 135 ] simplifiying candidate # 9.873 * [simplify]: Simplifying (sqrt (/ (+ N 1) N)) 9.873 * * [simplify]: iters left: 5 (5 enodes) 9.876 * * [simplify]: iters left: 4 (18 enodes) 9.882 * * [simplify]: iters left: 3 (20 enodes) 9.888 * * [simplify]: Extracting #0: cost 1 inf + 0 9.888 * * [simplify]: Extracting #1: cost 3 inf + 0 9.888 * * [simplify]: Extracting #2: cost 6 inf + 0 9.888 * * [simplify]: Extracting #3: cost 7 inf + 1 9.888 * * [simplify]: Extracting #4: cost 0 inf + 494 9.888 * [simplify]: Simplified to (sqrt (/ (+ 1 N) N)) 9.888 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) 9.888 * * * * [progress]: [ 26 / 135 ] simplifiying candidate # 9.889 * * * * [progress]: [ 27 / 135 ] simplifiying candidate # 9.889 * * * * [progress]: [ 28 / 135 ] simplifiying candidate # 9.889 * * * * [progress]: [ 29 / 135 ] simplifiying candidate # 9.889 * * * * [progress]: [ 30 / 135 ] simplifiying candidate # 9.889 * * * * [progress]: [ 31 / 135 ] simplifiying candidate # 9.889 * * * * [progress]: [ 32 / 135 ] simplifiying candidate #real (real->posit16 (log (sqrt (/ (+ N 1) N)))))))> 9.889 * * * * [progress]: [ 33 / 135 ] simplifiying candidate # 9.889 * [simplify]: Simplifying (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 9.889 * * [simplify]: iters left: 6 (7 enodes) 9.893 * * [simplify]: iters left: 5 (26 enodes) 9.901 * * [simplify]: iters left: 4 (30 enodes) 9.913 * * [simplify]: Extracting #0: cost 1 inf + 0 9.913 * * [simplify]: Extracting #1: cost 4 inf + 0 9.913 * * [simplify]: Extracting #2: cost 7 inf + 0 9.913 * * [simplify]: Extracting #3: cost 9 inf + 0 9.914 * * [simplify]: Extracting #4: cost 12 inf + 0 9.914 * * [simplify]: Extracting #5: cost 13 inf + 1 9.914 * * [simplify]: Extracting #6: cost 12 inf + 2 9.914 * * [simplify]: Extracting #7: cost 8 inf + 250 9.914 * * [simplify]: Extracting #8: cost 4 inf + 1078 9.915 * * [simplify]: Extracting #9: cost 1 inf + 1714 9.915 * * [simplify]: Extracting #10: cost 0 inf + 1986 9.916 * [simplify]: Simplified to (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 9.916 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 9.916 * * * * [progress]: [ 34 / 135 ] simplifiying candidate # 9.916 * [simplify]: Simplifying (log (sqrt (/ (+ N 1) N))) 9.916 * * [simplify]: iters left: 6 (6 enodes) 9.919 * * [simplify]: iters left: 5 (21 enodes) 9.927 * * [simplify]: iters left: 4 (23 enodes) 9.933 * * [simplify]: Extracting #0: cost 1 inf + 0 9.934 * * [simplify]: Extracting #1: cost 3 inf + 0 9.934 * * [simplify]: Extracting #2: cost 5 inf + 0 9.934 * * [simplify]: Extracting #3: cost 8 inf + 0 9.934 * * [simplify]: Extracting #4: cost 9 inf + 1 9.934 * * [simplify]: Extracting #5: cost 8 inf + 2 9.934 * * [simplify]: Extracting #6: cost 0 inf + 878 9.934 * [simplify]: Simplified to (log (sqrt (/ (+ 1 N) N))) 9.934 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 9.935 * * * * [progress]: [ 35 / 135 ] simplifiying candidate # 9.935 * [simplify]: Simplifying (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) 9.935 * * [simplify]: iters left: 6 (9 enodes) 9.940 * * [simplify]: iters left: 5 (39 enodes) 9.954 * * [simplify]: iters left: 4 (72 enodes) 9.977 * * [simplify]: iters left: 3 (110 enodes) 10.008 * * [simplify]: iters left: 2 (143 enodes) 10.039 * * [simplify]: iters left: 1 (186 enodes) 10.080 * * [simplify]: Extracting #0: cost 1 inf + 0 10.080 * * [simplify]: Extracting #1: cost 20 inf + 0 10.081 * * [simplify]: Extracting #2: cost 44 inf + 0 10.081 * * [simplify]: Extracting #3: cost 55 inf + 0 10.081 * * [simplify]: Extracting #4: cost 56 inf + 1 10.082 * * [simplify]: Extracting #5: cost 47 inf + 1170 10.084 * * [simplify]: Extracting #6: cost 20 inf + 7579 10.088 * * [simplify]: Extracting #7: cost 4 inf + 12291 10.092 * * [simplify]: Extracting #8: cost 0 inf + 13689 10.097 * [simplify]: Simplified to (log (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N)))) 10.097 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ (log (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))))) (log (sqrt (/ (+ N 1) N))))) 10.097 * * * * [progress]: [ 36 / 135 ] simplifiying candidate # 10.097 * [simplify]: Simplifying (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) 10.097 * * [simplify]: iters left: 6 (8 enodes) 10.101 * * [simplify]: iters left: 5 (32 enodes) 10.110 * * [simplify]: iters left: 4 (48 enodes) 10.122 * * [simplify]: iters left: 3 (65 enodes) 10.142 * * [simplify]: iters left: 2 (74 enodes) 10.156 * * [simplify]: iters left: 1 (83 enodes) 10.169 * * [simplify]: Extracting #0: cost 1 inf + 0 10.169 * * [simplify]: Extracting #1: cost 11 inf + 0 10.169 * * [simplify]: Extracting #2: cost 24 inf + 0 10.169 * * [simplify]: Extracting #3: cost 31 inf + 0 10.169 * * [simplify]: Extracting #4: cost 30 inf + 153 10.169 * * [simplify]: Extracting #5: cost 25 inf + 608 10.170 * * [simplify]: Extracting #6: cost 16 inf + 1996 10.170 * * [simplify]: Extracting #7: cost 3 inf + 5022 10.171 * * [simplify]: Extracting #8: cost 0 inf + 5848 10.172 * [simplify]: Simplified to (log (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N)))) 10.172 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ (log (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N)))) (log (/ (cbrt (+ N 1)) (sqrt N))))) (log (sqrt (/ (+ N 1) N))))) 10.172 * * * * [progress]: [ 37 / 135 ] simplifiying candidate # 10.172 * [simplify]: Simplifying (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) 10.172 * * [simplify]: iters left: 6 (7 enodes) 10.175 * * [simplify]: iters left: 5 (27 enodes) 10.179 * * [simplify]: iters left: 4 (41 enodes) 10.184 * * [simplify]: iters left: 3 (52 enodes) 10.191 * * [simplify]: iters left: 2 (61 enodes) 10.199 * * [simplify]: iters left: 1 (68 enodes) 10.207 * * [simplify]: Extracting #0: cost 1 inf + 0 10.207 * * [simplify]: Extracting #1: cost 7 inf + 0 10.207 * * [simplify]: Extracting #2: cost 12 inf + 1 10.207 * * [simplify]: Extracting #3: cost 14 inf + 2 10.207 * * [simplify]: Extracting #4: cost 16 inf + 2 10.207 * * [simplify]: Extracting #5: cost 15 inf + 3 10.207 * * [simplify]: Extracting #6: cost 11 inf + 371 10.207 * * [simplify]: Extracting #7: cost 2 inf + 2059 10.208 * * [simplify]: Extracting #8: cost 0 inf + 2563 10.208 * [simplify]: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 10.208 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (/ (cbrt (+ N 1)) N)))) (log (sqrt (/ (+ N 1) N))))) 10.208 * * * * [progress]: [ 38 / 135 ] simplifiying candidate # 10.209 * [simplify]: Simplifying (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) 10.209 * * [simplify]: iters left: 6 (8 enodes) 10.211 * * [simplify]: iters left: 5 (32 enodes) 10.216 * * [simplify]: iters left: 4 (46 enodes) 10.222 * * [simplify]: iters left: 3 (56 enodes) 10.230 * * [simplify]: iters left: 2 (64 enodes) 10.238 * * [simplify]: iters left: 1 (72 enodes) 10.249 * * [simplify]: Extracting #0: cost 1 inf + 0 10.249 * * [simplify]: Extracting #1: cost 13 inf + 0 10.249 * * [simplify]: Extracting #2: cost 28 inf + 0 10.249 * * [simplify]: Extracting #3: cost 34 inf + 0 10.250 * * [simplify]: Extracting #4: cost 30 inf + 626 10.250 * * [simplify]: Extracting #5: cost 24 inf + 1512 10.250 * * [simplify]: Extracting #6: cost 12 inf + 3500 10.251 * * [simplify]: Extracting #7: cost 2 inf + 6210 10.252 * * [simplify]: Extracting #8: cost 0 inf + 6764 10.253 * [simplify]: Simplified to (log (/ (/ (sqrt (+ 1 N)) (cbrt N)) (cbrt N))) 10.253 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ (log (/ (/ (sqrt (+ 1 N)) (cbrt N)) (cbrt N))) (log (/ (sqrt (+ N 1)) (cbrt N))))) (log (sqrt (/ (+ N 1) N))))) 10.253 * * * * [progress]: [ 39 / 135 ] simplifiying candidate # 10.253 * [simplify]: Simplifying (log (/ (sqrt (+ N 1)) (sqrt N))) 10.253 * * [simplify]: iters left: 6 (7 enodes) 10.255 * * [simplify]: iters left: 5 (27 enodes) 10.263 * * [simplify]: iters left: 4 (35 enodes) 10.272 * * [simplify]: iters left: 3 (38 enodes) 10.283 * * [simplify]: Extracting #0: cost 1 inf + 0 10.283 * * [simplify]: Extracting #1: cost 6 inf + 0 10.283 * * [simplify]: Extracting #2: cost 12 inf + 0 10.283 * * [simplify]: Extracting #3: cost 16 inf + 0 10.283 * * [simplify]: Extracting #4: cost 17 inf + 1 10.284 * * [simplify]: Extracting #5: cost 10 inf + 608 10.284 * * [simplify]: Extracting #6: cost 7 inf + 774 10.284 * * [simplify]: Extracting #7: cost 4 inf + 1170 10.285 * * [simplify]: Extracting #8: cost 0 inf + 1948 10.285 * [simplify]: Simplified to (log (/ (sqrt (+ 1 N)) (sqrt N))) 10.286 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))))) (log (sqrt (/ (+ N 1) N))))) 10.286 * * * * [progress]: [ 40 / 135 ] simplifiying candidate # 10.286 * [simplify]: Simplifying (log (/ (sqrt (+ N 1)) 1)) 10.286 * * [simplify]: iters left: 6 (6 enodes) 10.290 * * [simplify]: iters left: 5 (22 enodes) 10.297 * * [simplify]: iters left: 4 (26 enodes) 10.304 * * [simplify]: Extracting #0: cost 1 inf + 0 10.304 * * [simplify]: Extracting #1: cost 4 inf + 0 10.304 * * [simplify]: Extracting #2: cost 6 inf + 1 10.304 * * [simplify]: Extracting #3: cost 7 inf + 2 10.305 * * [simplify]: Extracting #4: cost 6 inf + 3 10.305 * * [simplify]: Extracting #5: cost 1 inf + 403 10.305 * * [simplify]: Extracting #6: cost 0 inf + 555 10.305 * [simplify]: Simplified to (log (sqrt (+ 1 N))) 10.305 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ N 1)) N)))) (log (sqrt (/ (+ N 1) N))))) 10.305 * * * * [progress]: [ 41 / 135 ] simplifiying candidate # 10.306 * [simplify]: Simplifying (log (/ 1 (* (cbrt N) (cbrt N)))) 10.306 * * [simplify]: iters left: 6 (6 enodes) 10.310 * * [simplify]: iters left: 5 (26 enodes) 10.320 * * [simplify]: iters left: 4 (36 enodes) 10.327 * * [simplify]: iters left: 3 (43 enodes) 10.334 * * [simplify]: iters left: 2 (49 enodes) 10.342 * * [simplify]: iters left: 1 (64 enodes) 10.351 * * [simplify]: Extracting #0: cost 1 inf + 0 10.351 * * [simplify]: Extracting #1: cost 7 inf + 0 10.352 * * [simplify]: Extracting #2: cost 14 inf + 1 10.352 * * [simplify]: Extracting #3: cost 17 inf + 2 10.352 * * [simplify]: Extracting #4: cost 16 inf + 3 10.352 * * [simplify]: Extracting #5: cost 8 inf + 1092 10.352 * * [simplify]: Extracting #6: cost 0 inf + 2503 10.353 * [simplify]: Simplified to (+ (- (log (cbrt N))) (- (log (cbrt N)))) 10.353 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ N 1) (cbrt N))))) (log (sqrt (/ (+ N 1) N))))) 10.353 * * * * [progress]: [ 42 / 135 ] simplifiying candidate # 10.353 * [simplify]: Simplifying (log (/ 1 (sqrt N))) 10.353 * * [simplify]: iters left: 4 (5 enodes) 10.355 * * [simplify]: iters left: 3 (21 enodes) 10.362 * * [simplify]: iters left: 2 (25 enodes) 10.370 * * [simplify]: Extracting #0: cost 1 inf + 0 10.370 * * [simplify]: Extracting #1: cost 5 inf + 0 10.370 * * [simplify]: Extracting #2: cost 8 inf + 1 10.370 * * [simplify]: Extracting #3: cost 9 inf + 2 10.370 * * [simplify]: Extracting #4: cost 8 inf + 3 10.370 * * [simplify]: Extracting #5: cost 2 inf + 512 10.371 * * [simplify]: Extracting #6: cost 0 inf + 774 10.371 * * [simplify]: Extracting #7: cost 0 inf + 773 10.371 * [simplify]: Simplified to (- (log (sqrt N))) 10.371 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))))) (log (sqrt (/ (+ N 1) N))))) 10.371 * * * * [progress]: [ 43 / 135 ] simplifiying candidate # 10.372 * [simplify]: Simplifying (log (/ 1 1)) 10.372 * * [simplify]: iters left: 3 (3 enodes) 10.376 * * [simplify]: iters left: 2 (12 enodes) 10.379 * * [simplify]: Extracting #0: cost 1 inf + 0 10.379 * * [simplify]: Extracting #1: cost 0 inf + 1 10.379 * [simplify]: Simplified to 0 10.379 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ 0 (log (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N))))) 10.379 * * * * [progress]: [ 44 / 135 ] simplifiying candidate # 10.379 * [simplify]: Simplifying (log (/ 1 (* (cbrt N) (cbrt N)))) 10.379 * * [simplify]: iters left: 6 (6 enodes) 10.383 * * [simplify]: iters left: 5 (26 enodes) 10.391 * * [simplify]: iters left: 4 (36 enodes) 10.401 * * [simplify]: iters left: 3 (43 enodes) 10.414 * * [simplify]: iters left: 2 (49 enodes) 10.423 * * [simplify]: iters left: 1 (64 enodes) 10.433 * * [simplify]: Extracting #0: cost 1 inf + 0 10.433 * * [simplify]: Extracting #1: cost 7 inf + 0 10.433 * * [simplify]: Extracting #2: cost 14 inf + 1 10.433 * * [simplify]: Extracting #3: cost 17 inf + 2 10.433 * * [simplify]: Extracting #4: cost 16 inf + 3 10.433 * * [simplify]: Extracting #5: cost 8 inf + 1092 10.434 * * [simplify]: Extracting #6: cost 0 inf + 2503 10.434 * [simplify]: Simplified to (+ (- (log (cbrt N))) (- (log (cbrt N)))) 10.434 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ N 1) (cbrt N))))) (log (sqrt (/ (+ N 1) N))))) 10.434 * * * * [progress]: [ 45 / 135 ] simplifiying candidate # 10.434 * [simplify]: Simplifying (log (/ 1 (sqrt N))) 10.434 * * [simplify]: iters left: 4 (5 enodes) 10.436 * * [simplify]: iters left: 3 (21 enodes) 10.440 * * [simplify]: iters left: 2 (25 enodes) 10.445 * * [simplify]: Extracting #0: cost 1 inf + 0 10.445 * * [simplify]: Extracting #1: cost 5 inf + 0 10.445 * * [simplify]: Extracting #2: cost 8 inf + 1 10.445 * * [simplify]: Extracting #3: cost 9 inf + 2 10.445 * * [simplify]: Extracting #4: cost 8 inf + 3 10.445 * * [simplify]: Extracting #5: cost 2 inf + 512 10.445 * * [simplify]: Extracting #6: cost 0 inf + 774 10.445 * * [simplify]: Extracting #7: cost 0 inf + 773 10.446 * [simplify]: Simplified to (- (log (sqrt N))) 10.446 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))))) (log (sqrt (/ (+ N 1) N))))) 10.446 * * * * [progress]: [ 46 / 135 ] simplifiying candidate # 10.446 * [simplify]: Simplifying (log (/ 1 1)) 10.446 * * [simplify]: iters left: 3 (3 enodes) 10.449 * * [simplify]: iters left: 2 (12 enodes) 10.450 * * [simplify]: Extracting #0: cost 1 inf + 0 10.450 * * [simplify]: Extracting #1: cost 0 inf + 1 10.450 * [simplify]: Simplified to 0 10.450 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ 0 (log (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N))))) 10.450 * * * * [progress]: [ 47 / 135 ] simplifiying candidate # 10.450 * [simplify]: Simplifying (log 1) 10.450 * * [simplify]: iters left: 1 (2 enodes) 10.452 * * [simplify]: Extracting #0: cost 1 inf + 0 10.452 * * [simplify]: Extracting #1: cost 0 inf + 1 10.452 * [simplify]: Simplified to 0 10.452 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ 0 (log (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N))))) 10.452 * * * * [progress]: [ 48 / 135 ] simplifiying candidate # 10.452 * [simplify]: Simplifying (log (+ N 1)) 10.452 * * [simplify]: iters left: 3 (4 enodes) 10.453 * * [simplify]: iters left: 2 (15 enodes) 10.456 * * [simplify]: iters left: 1 (17 enodes) 10.459 * * [simplify]: Extracting #0: cost 1 inf + 0 10.459 * * [simplify]: Extracting #1: cost 3 inf + 0 10.459 * * [simplify]: Extracting #2: cost 6 inf + 0 10.459 * * [simplify]: Extracting #3: cost 4 inf + 2 10.460 * * [simplify]: Extracting #4: cost 0 inf + 310 10.460 * [simplify]: Simplified to (log (+ 1 N)) 10.460 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ (log (+ 1 N)) (log (/ 1 N)))) (log (sqrt (/ (+ N 1) N))))) 10.460 * * * * [progress]: [ 49 / 135 ] simplifiying candidate # 10.460 * [simplify]: Simplifying (log (+ N 1)) 10.460 * * [simplify]: iters left: 3 (4 enodes) 10.462 * * [simplify]: iters left: 2 (15 enodes) 10.467 * * [simplify]: iters left: 1 (17 enodes) 10.471 * * [simplify]: Extracting #0: cost 1 inf + 0 10.472 * * [simplify]: Extracting #1: cost 3 inf + 0 10.472 * * [simplify]: Extracting #2: cost 6 inf + 0 10.472 * * [simplify]: Extracting #3: cost 4 inf + 2 10.472 * * [simplify]: Extracting #4: cost 0 inf + 310 10.472 * [simplify]: Simplified to (log (+ 1 N)) 10.472 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (- (log (+ 1 N)) (log N))) (log (sqrt (/ (+ N 1) N))))) 10.472 * * * * [progress]: [ 50 / 135 ] simplifiying candidate # 10.472 * * * * [progress]: [ 51 / 135 ] simplifiying candidate # 10.472 * * * * [progress]: [ 52 / 135 ] simplifiying candidate # 10.473 * [simplify]: Simplifying (log (+ N 1)) 10.473 * * [simplify]: iters left: 3 (4 enodes) 10.475 * * [simplify]: iters left: 2 (15 enodes) 10.479 * * [simplify]: iters left: 1 (17 enodes) 10.484 * * [simplify]: Extracting #0: cost 1 inf + 0 10.484 * * [simplify]: Extracting #1: cost 3 inf + 0 10.484 * * [simplify]: Extracting #2: cost 6 inf + 0 10.484 * * [simplify]: Extracting #3: cost 4 inf + 2 10.484 * * [simplify]: Extracting #4: cost 0 inf + 310 10.484 * [simplify]: Simplified to (log (+ 1 N)) 10.484 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (- (log (+ 1 N)) (log N))) (log (sqrt (/ (+ N 1) N))))) 10.485 * * * * [progress]: [ 53 / 135 ] simplifiying candidate # 10.485 * [simplify]: Simplifying (/ (+ N 1) N) 10.485 * * [simplify]: iters left: 4 (4 enodes) 10.487 * * [simplify]: iters left: 3 (15 enodes) 10.495 * * [simplify]: iters left: 2 (17 enodes) 10.500 * * [simplify]: Extracting #0: cost 1 inf + 0 10.500 * * [simplify]: Extracting #1: cost 4 inf + 0 10.501 * * [simplify]: Extracting #2: cost 5 inf + 1 10.501 * * [simplify]: Extracting #3: cost 3 inf + 44 10.501 * * [simplify]: Extracting #4: cost 1 inf + 168 10.501 * * [simplify]: Extracting #5: cost 0 inf + 250 10.501 * [simplify]: Simplified to (/ (+ 1 N) N) 10.501 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) 10.501 * * * * [progress]: [ 54 / 135 ] simplifiying candidate # 10.501 * * * * [progress]: [ 55 / 135 ] simplifiying candidate # 10.502 * * * * [progress]: [ 56 / 135 ] simplifiying candidate # 10.502 * * * * [progress]: [ 57 / 135 ] simplifiying candidate # 10.502 * * * * [progress]: [ 58 / 135 ] simplifiying candidate # 10.502 * * * * [progress]: [ 59 / 135 ] simplifiying candidate # 10.502 * * * * [progress]: [ 60 / 135 ] simplifiying candidate #real (real->posit16 (log (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N)))))> 10.502 * * * * [progress]: [ 61 / 135 ] simplifiying candidate # 10.502 * * * * [progress]: [ 62 / 135 ] simplifiying candidate # 10.502 * * * * [progress]: [ 63 / 135 ] simplifiying candidate # 10.502 * * * * [progress]: [ 64 / 135 ] simplifiying candidate # 10.502 * * * * [progress]: [ 65 / 135 ] simplifiying candidate # 10.502 * * * * [progress]: [ 66 / 135 ] simplifiying candidate # 10.502 * * * * [progress]: [ 67 / 135 ] simplifiying candidate # 10.503 * [simplify]: Simplifying (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 10.503 * * [simplify]: iters left: 6 (7 enodes) 10.507 * * [simplify]: iters left: 5 (25 enodes) 10.514 * * [simplify]: iters left: 4 (27 enodes) 10.522 * * [simplify]: Extracting #0: cost 1 inf + 0 10.522 * * [simplify]: Extracting #1: cost 4 inf + 0 10.522 * * [simplify]: Extracting #2: cost 7 inf + 0 10.522 * * [simplify]: Extracting #3: cost 10 inf + 0 10.522 * * [simplify]: Extracting #4: cost 11 inf + 1 10.522 * * [simplify]: Extracting #5: cost 8 inf + 86 10.522 * * [simplify]: Extracting #6: cost 1 inf + 1180 10.523 * * [simplify]: Extracting #7: cost 0 inf + 1382 10.523 * [simplify]: Simplified to (fabs (cbrt (/ (+ 1 N) N))) 10.523 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (* (fabs (cbrt (/ (+ 1 N) N))) (sqrt (cbrt (/ (+ N 1) N))))))) 10.523 * * * * [progress]: [ 68 / 135 ] simplifiying candidate # 10.524 * [simplify]: Simplifying (sqrt (sqrt (/ (+ N 1) N))) 10.524 * * [simplify]: iters left: 6 (6 enodes) 10.527 * * [simplify]: iters left: 5 (21 enodes) 10.533 * * [simplify]: iters left: 4 (23 enodes) 10.539 * * [simplify]: Extracting #0: cost 1 inf + 0 10.539 * * [simplify]: Extracting #1: cost 3 inf + 0 10.539 * * [simplify]: Extracting #2: cost 5 inf + 0 10.539 * * [simplify]: Extracting #3: cost 8 inf + 0 10.540 * * [simplify]: Extracting #4: cost 9 inf + 1 10.540 * * [simplify]: Extracting #5: cost 8 inf + 2 10.540 * * [simplify]: Extracting #6: cost 0 inf + 818 10.540 * [simplify]: Simplified to (sqrt (sqrt (/ (+ 1 N) N))) 10.540 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (* (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ N 1) N))))))) 10.540 * * * * [progress]: [ 69 / 135 ] simplifiying candidate # 10.541 * [simplify]: Simplifying (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) 10.541 * * [simplify]: iters left: 6 (9 enodes) 10.545 * * [simplify]: iters left: 5 (36 enodes) 10.556 * * [simplify]: iters left: 4 (54 enodes) 10.573 * * [simplify]: iters left: 3 (61 enodes) 10.585 * * [simplify]: iters left: 2 (64 enodes) 10.593 * * [simplify]: Extracting #0: cost 1 inf + 0 10.593 * * [simplify]: Extracting #1: cost 4 inf + 0 10.593 * * [simplify]: Extracting #2: cost 14 inf + 0 10.594 * * [simplify]: Extracting #3: cost 24 inf + 0 10.594 * * [simplify]: Extracting #4: cost 24 inf + 82 10.594 * * [simplify]: Extracting #5: cost 20 inf + 406 10.594 * * [simplify]: Extracting #6: cost 8 inf + 2710 10.595 * * [simplify]: Extracting #7: cost 1 inf + 4564 10.595 * * [simplify]: Extracting #8: cost 0 inf + 4846 10.596 * [simplify]: Simplified to (fabs (/ (cbrt (+ 1 N)) (cbrt N))) 10.596 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (* (fabs (/ (cbrt (+ 1 N)) (cbrt N))) (sqrt (/ (cbrt (+ N 1)) (cbrt N))))))) 10.596 * * * * [progress]: [ 70 / 135 ] simplifiying candidate # 10.596 * [simplify]: Simplifying (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) 10.597 * * [simplify]: iters left: 6 (8 enodes) 10.599 * * [simplify]: iters left: 5 (29 enodes) 10.604 * * [simplify]: iters left: 4 (35 enodes) 10.609 * * [simplify]: iters left: 3 (38 enodes) 10.620 * * [simplify]: Extracting #0: cost 1 inf + 0 10.620 * * [simplify]: Extracting #1: cost 3 inf + 0 10.620 * * [simplify]: Extracting #2: cost 9 inf + 0 10.620 * * [simplify]: Extracting #3: cost 16 inf + 0 10.620 * * [simplify]: Extracting #4: cost 17 inf + 1 10.620 * * [simplify]: Extracting #5: cost 15 inf + 43 10.620 * * [simplify]: Extracting #6: cost 11 inf + 290 10.621 * * [simplify]: Extracting #7: cost 0 inf + 2592 10.622 * [simplify]: Simplified to (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) 10.622 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (* (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (sqrt (/ (cbrt (+ N 1)) (sqrt N))))))) 10.624 * * * * [progress]: [ 71 / 135 ] simplifiying candidate # 10.624 * [simplify]: Simplifying (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) 10.624 * * [simplify]: iters left: 6 (7 enodes) 10.628 * * [simplify]: iters left: 5 (24 enodes) 10.636 * * [simplify]: iters left: 4 (35 enodes) 10.645 * * [simplify]: iters left: 3 (36 enodes) 10.654 * * [simplify]: Extracting #0: cost 1 inf + 0 10.654 * * [simplify]: Extracting #1: cost 4 inf + 0 10.654 * * [simplify]: Extracting #2: cost 9 inf + 0 10.654 * * [simplify]: Extracting #3: cost 11 inf + 1 10.654 * * [simplify]: Extracting #4: cost 10 inf + 2 10.655 * * [simplify]: Extracting #5: cost 3 inf + 816 10.655 * * [simplify]: Extracting #6: cost 0 inf + 1302 10.655 * [simplify]: Simplified to (fabs (cbrt (+ 1 N))) 10.655 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (* (fabs (cbrt (+ 1 N))) (sqrt (/ (cbrt (+ N 1)) N)))))) 10.656 * * * * [progress]: [ 72 / 135 ] simplifiying candidate # 10.656 * [simplify]: Simplifying (sqrt (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) 10.656 * * [simplify]: iters left: 6 (8 enodes) 10.660 * * [simplify]: iters left: 5 (29 enodes) 10.668 * * [simplify]: iters left: 4 (33 enodes) 10.673 * * [simplify]: Extracting #0: cost 1 inf + 0 10.674 * * [simplify]: Extracting #1: cost 3 inf + 0 10.674 * * [simplify]: Extracting #2: cost 8 inf + 0 10.674 * * [simplify]: Extracting #3: cost 14 inf + 0 10.674 * * [simplify]: Extracting #4: cost 15 inf + 1 10.674 * * [simplify]: Extracting #5: cost 11 inf + 285 10.674 * * [simplify]: Extracting #6: cost 7 inf + 572 10.674 * * [simplify]: Extracting #7: cost 0 inf + 2106 10.675 * [simplify]: Simplified to (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) 10.675 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (* (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1)) (cbrt N))))))) 10.675 * * * * [progress]: [ 73 / 135 ] simplifiying candidate # 10.675 * [simplify]: Simplifying (sqrt (/ (sqrt (+ N 1)) (sqrt N))) 10.675 * * [simplify]: iters left: 6 (7 enodes) 10.677 * * [simplify]: iters left: 5 (24 enodes) 10.681 * * [simplify]: iters left: 4 (26 enodes) 10.684 * * [simplify]: Extracting #0: cost 1 inf + 0 10.684 * * [simplify]: Extracting #1: cost 3 inf + 0 10.684 * * [simplify]: Extracting #2: cost 6 inf + 0 10.685 * * [simplify]: Extracting #3: cost 10 inf + 0 10.685 * * [simplify]: Extracting #4: cost 11 inf + 1 10.685 * * [simplify]: Extracting #5: cost 8 inf + 84 10.685 * * [simplify]: Extracting #6: cost 4 inf + 332 10.685 * * [simplify]: Extracting #7: cost 2 inf + 696 10.685 * * [simplify]: Extracting #8: cost 0 inf + 1060 10.685 * [simplify]: Simplified to (sqrt (/ (sqrt (+ 1 N)) (sqrt N))) 10.685 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (* (sqrt (/ (sqrt (+ 1 N)) (sqrt N))) (sqrt (/ (sqrt (+ N 1)) (sqrt N))))))) 10.685 * * * * [progress]: [ 74 / 135 ] simplifiying candidate # 10.686 * [simplify]: Simplifying (sqrt (/ (sqrt (+ N 1)) 1)) 10.686 * * [simplify]: iters left: 6 (6 enodes) 10.687 * * [simplify]: iters left: 5 (19 enodes) 10.690 * * [simplify]: iters left: 4 (21 enodes) 10.693 * * [simplify]: Extracting #0: cost 1 inf + 0 10.693 * * [simplify]: Extracting #1: cost 3 inf + 0 10.693 * * [simplify]: Extracting #2: cost 6 inf + 0 10.693 * * [simplify]: Extracting #3: cost 7 inf + 1 10.693 * * [simplify]: Extracting #4: cost 6 inf + 2 10.693 * * [simplify]: Extracting #5: cost 0 inf + 494 10.693 * [simplify]: Simplified to (sqrt (sqrt (+ 1 N))) 10.693 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (* (sqrt (sqrt (+ 1 N))) (sqrt (/ (sqrt (+ N 1)) N)))))) 10.693 * * * * [progress]: [ 75 / 135 ] simplifiying candidate # 10.693 * [simplify]: Simplifying (sqrt (/ 1 (* (cbrt N) (cbrt N)))) 10.693 * * [simplify]: iters left: 6 (6 enodes) 10.695 * * [simplify]: iters left: 5 (22 enodes) 10.699 * * [simplify]: iters left: 4 (26 enodes) 10.703 * * [simplify]: Extracting #0: cost 1 inf + 0 10.703 * * [simplify]: Extracting #1: cost 3 inf + 0 10.703 * * [simplify]: Extracting #2: cost 8 inf + 0 10.703 * * [simplify]: Extracting #3: cost 11 inf + 1 10.703 * * [simplify]: Extracting #4: cost 8 inf + 164 10.703 * * [simplify]: Extracting #5: cost 1 inf + 1176 10.704 * * [simplify]: Extracting #6: cost 0 inf + 1378 10.704 * [simplify]: Simplified to (sqrt (/ 1 (* (cbrt N) (cbrt N)))) 10.704 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (* (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1) (cbrt N))))))) 10.704 * * * * [progress]: [ 76 / 135 ] simplifiying candidate # 10.704 * [simplify]: Simplifying (sqrt (/ 1 (sqrt N))) 10.704 * * [simplify]: iters left: 4 (5 enodes) 10.706 * * [simplify]: iters left: 3 (17 enodes) 10.709 * * [simplify]: iters left: 2 (19 enodes) 10.711 * * [simplify]: Extracting #0: cost 1 inf + 0 10.711 * * [simplify]: Extracting #1: cost 3 inf + 0 10.711 * * [simplify]: Extracting #2: cost 6 inf + 0 10.711 * * [simplify]: Extracting #3: cost 7 inf + 1 10.711 * * [simplify]: Extracting #4: cost 0 inf + 492 10.712 * [simplify]: Simplified to (sqrt (/ 1 (sqrt N))) 10.712 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (* (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))))))) 10.712 * * * * [progress]: [ 77 / 135 ] simplifiying candidate # 10.712 * [simplify]: Simplifying (sqrt (/ 1 1)) 10.712 * * [simplify]: iters left: 3 (3 enodes) 10.716 * * [simplify]: iters left: 2 (9 enodes) 10.718 * * [simplify]: iters left: 1 (11 enodes) 10.720 * * [simplify]: Extracting #0: cost 1 inf + 0 10.721 * * [simplify]: Extracting #1: cost 0 inf + 1 10.721 * [simplify]: Simplified to 1 10.721 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (* 1 (sqrt (/ (+ N 1) N)))))) 10.721 * * * * [progress]: [ 78 / 135 ] simplifiying candidate # 10.721 * [simplify]: Simplifying (sqrt (/ 1 (* (cbrt N) (cbrt N)))) 10.721 * * [simplify]: iters left: 6 (6 enodes) 10.725 * * [simplify]: iters left: 5 (22 enodes) 10.732 * * [simplify]: iters left: 4 (26 enodes) 10.739 * * [simplify]: Extracting #0: cost 1 inf + 0 10.739 * * [simplify]: Extracting #1: cost 3 inf + 0 10.740 * * [simplify]: Extracting #2: cost 8 inf + 0 10.740 * * [simplify]: Extracting #3: cost 11 inf + 1 10.740 * * [simplify]: Extracting #4: cost 8 inf + 164 10.740 * * [simplify]: Extracting #5: cost 1 inf + 1176 10.740 * * [simplify]: Extracting #6: cost 0 inf + 1378 10.741 * [simplify]: Simplified to (sqrt (/ 1 (* (cbrt N) (cbrt N)))) 10.741 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (* (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1) (cbrt N))))))) 10.741 * * * * [progress]: [ 79 / 135 ] simplifiying candidate # 10.741 * [simplify]: Simplifying (sqrt (/ 1 (sqrt N))) 10.742 * * [simplify]: iters left: 4 (5 enodes) 10.746 * * [simplify]: iters left: 3 (17 enodes) 10.753 * * [simplify]: iters left: 2 (19 enodes) 10.758 * * [simplify]: Extracting #0: cost 1 inf + 0 10.759 * * [simplify]: Extracting #1: cost 3 inf + 0 10.759 * * [simplify]: Extracting #2: cost 6 inf + 0 10.759 * * [simplify]: Extracting #3: cost 7 inf + 1 10.759 * * [simplify]: Extracting #4: cost 0 inf + 492 10.759 * [simplify]: Simplified to (sqrt (/ 1 (sqrt N))) 10.759 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (* (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))))))) 10.759 * * * * [progress]: [ 80 / 135 ] simplifiying candidate # 10.760 * [simplify]: Simplifying (sqrt (/ 1 1)) 10.760 * * [simplify]: iters left: 3 (3 enodes) 10.761 * * [simplify]: iters left: 2 (9 enodes) 10.763 * * [simplify]: iters left: 1 (11 enodes) 10.764 * * [simplify]: Extracting #0: cost 1 inf + 0 10.764 * * [simplify]: Extracting #1: cost 0 inf + 1 10.764 * [simplify]: Simplified to 1 10.764 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (* 1 (sqrt (/ (+ N 1) N)))))) 10.764 * * * * [progress]: [ 81 / 135 ] simplifiying candidate # 10.765 * [simplify]: Simplifying (sqrt 1) 10.765 * * [simplify]: iters left: 1 (2 enodes) 10.766 * * [simplify]: Extracting #0: cost 1 inf + 0 10.766 * * [simplify]: Extracting #1: cost 0 inf + 1 10.766 * [simplify]: Simplified to 1 10.766 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (* 1 (sqrt (/ (+ N 1) N)))))) 10.766 * * * * [progress]: [ 82 / 135 ] simplifiying candidate # 10.766 * [simplify]: Simplifying (sqrt (+ N 1)) 10.767 * * [simplify]: iters left: 3 (4 enodes) 10.768 * * [simplify]: iters left: 2 (15 enodes) 10.770 * * [simplify]: iters left: 1 (17 enodes) 10.772 * * [simplify]: Extracting #0: cost 1 inf + 0 10.772 * * [simplify]: Extracting #1: cost 3 inf + 0 10.772 * * [simplify]: Extracting #2: cost 6 inf + 0 10.773 * * [simplify]: Extracting #3: cost 2 inf + 86 10.773 * * [simplify]: Extracting #4: cost 1 inf + 168 10.773 * * [simplify]: Extracting #5: cost 0 inf + 250 10.773 * [simplify]: Simplified to (sqrt (+ 1 N)) 10.773 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (* (sqrt (+ 1 N)) (sqrt (/ 1 N)))))) 10.773 * * * * [progress]: [ 83 / 135 ] simplifiying candidate # 10.773 * [simplify]: Simplifying (sqrt (+ N 1)) 10.773 * * [simplify]: iters left: 3 (4 enodes) 10.774 * * [simplify]: iters left: 2 (15 enodes) 10.776 * * [simplify]: iters left: 1 (17 enodes) 10.779 * * [simplify]: Extracting #0: cost 1 inf + 0 10.779 * * [simplify]: Extracting #1: cost 3 inf + 0 10.779 * * [simplify]: Extracting #2: cost 6 inf + 0 10.779 * * [simplify]: Extracting #3: cost 2 inf + 86 10.779 * * [simplify]: Extracting #4: cost 1 inf + 168 10.779 * * [simplify]: Extracting #5: cost 0 inf + 250 10.779 * [simplify]: Simplified to (sqrt (+ 1 N)) 10.779 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (/ (sqrt (+ 1 N)) (sqrt N))))) 10.779 * * * * [progress]: [ 84 / 135 ] simplifiying candidate # 10.779 * [simplify]: Simplifying (/ (+ N 1) N) 10.779 * * [simplify]: iters left: 4 (4 enodes) 10.781 * * [simplify]: iters left: 3 (15 enodes) 10.783 * * [simplify]: iters left: 2 (17 enodes) 10.785 * * [simplify]: Extracting #0: cost 1 inf + 0 10.785 * * [simplify]: Extracting #1: cost 4 inf + 0 10.785 * * [simplify]: Extracting #2: cost 5 inf + 1 10.785 * * [simplify]: Extracting #3: cost 3 inf + 44 10.786 * * [simplify]: Extracting #4: cost 1 inf + 168 10.786 * * [simplify]: Extracting #5: cost 0 inf + 250 10.786 * [simplify]: Simplified to (/ (+ 1 N) N) 10.786 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (pow (/ (+ 1 N) N) (/ 1 2))))) 10.786 * * * * [progress]: [ 85 / 135 ] simplifiying candidate # 10.786 * * * * [progress]: [ 86 / 135 ] simplifiying candidate # 10.786 * [simplify]: Simplifying (sqrt (/ (+ N 1) N)) 10.786 * * [simplify]: iters left: 5 (5 enodes) 10.787 * * [simplify]: iters left: 4 (18 enodes) 10.790 * * [simplify]: iters left: 3 (20 enodes) 10.793 * * [simplify]: Extracting #0: cost 1 inf + 0 10.793 * * [simplify]: Extracting #1: cost 3 inf + 0 10.793 * * [simplify]: Extracting #2: cost 6 inf + 0 10.793 * * [simplify]: Extracting #3: cost 7 inf + 1 10.793 * * [simplify]: Extracting #4: cost 0 inf + 494 10.793 * [simplify]: Simplified to (sqrt (/ (+ 1 N) N)) 10.793 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (fabs (sqrt (/ (+ 1 N) N)))))) 10.793 * * * * [progress]: [ 87 / 135 ] simplifiying candidate # 10.793 * [simplify]: Simplifying (/ (sqrt (+ N 1)) (sqrt N)) 10.793 * * [simplify]: iters left: 5 (6 enodes) 10.795 * * [simplify]: iters left: 4 (21 enodes) 10.800 * * [simplify]: iters left: 3 (23 enodes) 10.807 * * [simplify]: Extracting #0: cost 1 inf + 0 10.807 * * [simplify]: Extracting #1: cost 4 inf + 0 10.807 * * [simplify]: Extracting #2: cost 8 inf + 0 10.807 * * [simplify]: Extracting #3: cost 7 inf + 83 10.808 * * [simplify]: Extracting #4: cost 6 inf + 84 10.808 * * [simplify]: Extracting #5: cost 0 inf + 656 10.808 * [simplify]: Simplified to (/ (sqrt (+ 1 N)) (sqrt N)) 10.808 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (fabs (/ (sqrt (+ 1 N)) (sqrt N)))))) 10.808 * * * * [progress]: [ 88 / 135 ] simplifiying candidate # 10.808 * * * * [progress]: [ 89 / 135 ] simplifiying candidate #real (real->posit16 (sqrt (/ (+ N 1) N)))))))> 10.808 * * * * [progress]: [ 90 / 135 ] simplifiying candidate # 10.808 * * * * [progress]: [ 91 / 135 ] simplifiying candidate # 10.809 * [simplify]: Simplifying (- (log (+ N 1)) (log N)) 10.809 * * [simplify]: iters left: 5 (6 enodes) 10.812 * * [simplify]: iters left: 4 (23 enodes) 10.819 * * [simplify]: iters left: 3 (28 enodes) 10.826 * * [simplify]: Extracting #0: cost 1 inf + 0 10.826 * * [simplify]: Extracting #1: cost 5 inf + 0 10.826 * * [simplify]: Extracting #2: cost 10 inf + 0 10.826 * * [simplify]: Extracting #3: cost 11 inf + 1 10.827 * * [simplify]: Extracting #4: cost 6 inf + 228 10.827 * * [simplify]: Extracting #5: cost 1 inf + 896 10.827 * * [simplify]: Extracting #6: cost 0 inf + 1118 10.828 * [simplify]: Simplified to (- (log (+ 1 N)) (log N)) 10.828 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (exp (- (log (+ 1 N)) (log N))))))) 10.828 * * * * [progress]: [ 92 / 135 ] simplifiying candidate # 10.828 * * * * [progress]: [ 93 / 135 ] simplifiying candidate # 10.828 * * * * [progress]: [ 94 / 135 ] simplifiying candidate # 10.828 * [simplify]: Simplifying (/ (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) 10.828 * * [simplify]: iters left: 6 (8 enodes) 10.833 * * [simplify]: iters left: 5 (48 enodes) 10.855 * * [simplify]: iters left: 4 (121 enodes) 10.905 * * [simplify]: iters left: 3 (301 enodes) 11.075 * * [simplify]: Extracting #0: cost 1 inf + 0 11.075 * * [simplify]: Extracting #1: cost 40 inf + 0 11.076 * * [simplify]: Extracting #2: cost 130 inf + 44 11.077 * * [simplify]: Extracting #3: cost 127 inf + 4729 11.083 * * [simplify]: Extracting #4: cost 8 inf + 25931 11.091 * * [simplify]: Extracting #5: cost 0 inf + 26827 11.098 * * [simplify]: Extracting #6: cost 0 inf + 26667 11.111 * [simplify]: Simplified to (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) 11.111 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (cbrt (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N))))))) 11.111 * * * * [progress]: [ 95 / 135 ] simplifiying candidate # 11.112 * * * * [progress]: [ 96 / 135 ] simplifiying candidate # 11.112 * * * * [progress]: [ 97 / 135 ] simplifiying candidate # 11.112 * * * * [progress]: [ 98 / 135 ] simplifiying candidate # 11.112 * * * * [progress]: [ 99 / 135 ] simplifiying candidate # 11.112 * [simplify]: Simplifying (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))) 11.112 * * [simplify]: iters left: 6 (8 enodes) 11.117 * * [simplify]: iters left: 5 (33 enodes) 11.127 * * [simplify]: iters left: 4 (50 enodes) 11.139 * * [simplify]: iters left: 3 (57 enodes) 11.147 * * [simplify]: iters left: 2 (60 enodes) 11.155 * * [simplify]: Extracting #0: cost 1 inf + 0 11.155 * * [simplify]: Extracting #1: cost 11 inf + 0 11.155 * * [simplify]: Extracting #2: cost 22 inf + 0 11.155 * * [simplify]: Extracting #3: cost 23 inf + 1 11.155 * * [simplify]: Extracting #4: cost 20 inf + 164 11.155 * * [simplify]: Extracting #5: cost 10 inf + 1662 11.156 * * [simplify]: Extracting #6: cost 2 inf + 3718 11.156 * * [simplify]: Extracting #7: cost 0 inf + 4282 11.157 * [simplify]: Simplified to (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N))) 11.157 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N))))))) 11.158 * [simplify]: Simplifying (/ (cbrt (+ N 1)) (cbrt N)) 11.158 * * [simplify]: iters left: 5 (6 enodes) 11.162 * * [simplify]: iters left: 4 (21 enodes) 11.166 * * [simplify]: iters left: 3 (23 enodes) 11.169 * * [simplify]: Extracting #0: cost 1 inf + 0 11.169 * * [simplify]: Extracting #1: cost 4 inf + 0 11.169 * * [simplify]: Extracting #2: cost 8 inf + 0 11.170 * * [simplify]: Extracting #3: cost 7 inf + 163 11.170 * * [simplify]: Extracting #4: cost 6 inf + 164 11.170 * * [simplify]: Extracting #5: cost 0 inf + 976 11.170 * [simplify]: Simplified to (/ (cbrt (+ 1 N)) (cbrt N)) 11.171 * [simplify]: Simplified (2 2 1 1 2) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N))))))) 11.171 * * * * [progress]: [ 100 / 135 ] simplifiying candidate # 11.171 * [simplify]: Simplifying (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) 11.171 * * [simplify]: iters left: 6 (7 enodes) 11.174 * * [simplify]: iters left: 5 (26 enodes) 11.178 * * [simplify]: iters left: 4 (32 enodes) 11.183 * * [simplify]: iters left: 3 (35 enodes) 11.188 * * [simplify]: Extracting #0: cost 1 inf + 0 11.188 * * [simplify]: Extracting #1: cost 7 inf + 0 11.188 * * [simplify]: Extracting #2: cost 14 inf + 0 11.188 * * [simplify]: Extracting #3: cost 15 inf + 1 11.188 * * [simplify]: Extracting #4: cost 13 inf + 43 11.189 * * [simplify]: Extracting #5: cost 5 inf + 1018 11.189 * * [simplify]: Extracting #6: cost 2 inf + 1624 11.189 * * [simplify]: Extracting #7: cost 0 inf + 2028 11.189 * [simplify]: Simplified to (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N))) 11.189 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N))) (/ (cbrt (+ N 1)) (sqrt N))))))) 11.190 * [simplify]: Simplifying (/ (cbrt (+ N 1)) (sqrt N)) 11.190 * * [simplify]: iters left: 5 (6 enodes) 11.192 * * [simplify]: iters left: 4 (21 enodes) 11.198 * * [simplify]: iters left: 3 (23 enodes) 11.205 * * [simplify]: Extracting #0: cost 1 inf + 0 11.205 * * [simplify]: Extracting #1: cost 4 inf + 0 11.205 * * [simplify]: Extracting #2: cost 8 inf + 0 11.205 * * [simplify]: Extracting #3: cost 7 inf + 83 11.205 * * [simplify]: Extracting #4: cost 6 inf + 84 11.205 * * [simplify]: Extracting #5: cost 0 inf + 816 11.205 * [simplify]: Simplified to (/ (cbrt (+ 1 N)) (sqrt N)) 11.205 * [simplify]: Simplified (2 2 1 1 2) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) (/ (cbrt (+ 1 N)) (sqrt N))))))) 11.206 * * * * [progress]: [ 101 / 135 ] simplifiying candidate # 11.206 * [simplify]: Simplifying (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1) 11.206 * * [simplify]: iters left: 6 (6 enodes) 11.209 * * [simplify]: iters left: 5 (21 enodes) 11.216 * * [simplify]: iters left: 4 (31 enodes) 11.224 * * [simplify]: iters left: 3 (32 enodes) 11.232 * * [simplify]: Extracting #0: cost 1 inf + 0 11.232 * * [simplify]: Extracting #1: cost 5 inf + 0 11.233 * * [simplify]: Extracting #2: cost 7 inf + 1 11.233 * * [simplify]: Extracting #3: cost 9 inf + 1 11.233 * * [simplify]: Extracting #4: cost 8 inf + 2 11.233 * * [simplify]: Extracting #5: cost 0 inf + 978 11.233 * [simplify]: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 11.233 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (cbrt (+ N 1)) N)))))) 11.234 * [simplify]: Simplifying (/ (cbrt (+ N 1)) N) 11.234 * * [simplify]: iters left: 5 (5 enodes) 11.236 * * [simplify]: iters left: 4 (18 enodes) 11.242 * * [simplify]: iters left: 3 (20 enodes) 11.248 * * [simplify]: Extracting #0: cost 1 inf + 0 11.248 * * [simplify]: Extracting #1: cost 4 inf + 0 11.248 * * [simplify]: Extracting #2: cost 5 inf + 1 11.248 * * [simplify]: Extracting #3: cost 7 inf + 1 11.248 * * [simplify]: Extracting #4: cost 0 inf + 654 11.248 * [simplify]: Simplified to (/ (cbrt (+ 1 N)) N) 11.248 * [simplify]: Simplified (2 2 1 1 2) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1) (/ (cbrt (+ 1 N)) N)))))) 11.249 * * * * [progress]: [ 102 / 135 ] simplifiying candidate # 11.249 * [simplify]: Simplifying (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) 11.249 * * [simplify]: iters left: 5 (7 enodes) 11.252 * * [simplify]: iters left: 4 (26 enodes) 11.260 * * [simplify]: iters left: 3 (30 enodes) 11.269 * * [simplify]: Extracting #0: cost 1 inf + 0 11.269 * * [simplify]: Extracting #1: cost 6 inf + 0 11.269 * * [simplify]: Extracting #2: cost 12 inf + 0 11.269 * * [simplify]: Extracting #3: cost 13 inf + 1 11.269 * * [simplify]: Extracting #4: cost 10 inf + 204 11.269 * * [simplify]: Extracting #5: cost 2 inf + 1058 11.270 * * [simplify]: Extracting #6: cost 1 inf + 1300 11.270 * * [simplify]: Extracting #7: cost 0 inf + 1542 11.271 * [simplify]: Simplified to (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) 11.271 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N))))))) 11.271 * [simplify]: Simplifying (/ (sqrt (+ N 1)) (cbrt N)) 11.271 * * [simplify]: iters left: 5 (6 enodes) 11.274 * * [simplify]: iters left: 4 (21 enodes) 11.280 * * [simplify]: iters left: 3 (23 enodes) 11.287 * * [simplify]: Extracting #0: cost 1 inf + 0 11.287 * * [simplify]: Extracting #1: cost 4 inf + 0 11.287 * * [simplify]: Extracting #2: cost 8 inf + 0 11.287 * * [simplify]: Extracting #3: cost 7 inf + 163 11.287 * * [simplify]: Extracting #4: cost 6 inf + 164 11.287 * * [simplify]: Extracting #5: cost 0 inf + 816 11.288 * [simplify]: Simplified to (/ (sqrt (+ 1 N)) (cbrt N)) 11.288 * [simplify]: Simplified (2 2 1 1 2) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N))))))) 11.288 * * * * [progress]: [ 103 / 135 ] simplifiying candidate # 11.288 * [simplify]: Simplifying (/ (sqrt (+ N 1)) (sqrt N)) 11.288 * * [simplify]: iters left: 5 (6 enodes) 11.291 * * [simplify]: iters left: 4 (21 enodes) 11.296 * * [simplify]: iters left: 3 (23 enodes) 11.300 * * [simplify]: Extracting #0: cost 1 inf + 0 11.300 * * [simplify]: Extracting #1: cost 4 inf + 0 11.300 * * [simplify]: Extracting #2: cost 8 inf + 0 11.300 * * [simplify]: Extracting #3: cost 7 inf + 83 11.300 * * [simplify]: Extracting #4: cost 6 inf + 84 11.300 * * [simplify]: Extracting #5: cost 0 inf + 656 11.300 * [simplify]: Simplified to (/ (sqrt (+ 1 N)) (sqrt N)) 11.300 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N))))))) 11.300 * [simplify]: Simplifying (/ (sqrt (+ N 1)) (sqrt N)) 11.300 * * [simplify]: iters left: 5 (6 enodes) 11.302 * * [simplify]: iters left: 4 (21 enodes) 11.305 * * [simplify]: iters left: 3 (23 enodes) 11.308 * * [simplify]: Extracting #0: cost 1 inf + 0 11.308 * * [simplify]: Extracting #1: cost 4 inf + 0 11.308 * * [simplify]: Extracting #2: cost 8 inf + 0 11.308 * * [simplify]: Extracting #3: cost 7 inf + 83 11.308 * * [simplify]: Extracting #4: cost 6 inf + 84 11.308 * * [simplify]: Extracting #5: cost 0 inf + 656 11.308 * [simplify]: Simplified to (/ (sqrt (+ 1 N)) (sqrt N)) 11.309 * [simplify]: Simplified (2 2 1 1 2) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N))))))) 11.309 * * * * [progress]: [ 104 / 135 ] simplifiying candidate # 11.309 * [simplify]: Simplifying (/ (sqrt (+ N 1)) 1) 11.309 * * [simplify]: iters left: 5 (5 enodes) 11.310 * * [simplify]: iters left: 4 (16 enodes) 11.313 * * [simplify]: iters left: 3 (18 enodes) 11.315 * * [simplify]: Extracting #0: cost 1 inf + 0 11.315 * * [simplify]: Extracting #1: cost 4 inf + 0 11.315 * * [simplify]: Extracting #2: cost 5 inf + 1 11.315 * * [simplify]: Extracting #3: cost 4 inf + 2 11.315 * * [simplify]: Extracting #4: cost 1 inf + 168 11.315 * * [simplify]: Extracting #5: cost 0 inf + 250 11.316 * [simplify]: Simplified to (sqrt (+ 1 N)) 11.316 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* (sqrt (+ 1 N)) (/ (sqrt (+ N 1)) N)))))) 11.316 * [simplify]: Simplifying (/ (sqrt (+ N 1)) N) 11.316 * * [simplify]: iters left: 5 (5 enodes) 11.317 * * [simplify]: iters left: 4 (18 enodes) 11.320 * * [simplify]: iters left: 3 (20 enodes) 11.323 * * [simplify]: Extracting #0: cost 1 inf + 0 11.324 * * [simplify]: Extracting #1: cost 4 inf + 0 11.324 * * [simplify]: Extracting #2: cost 5 inf + 1 11.324 * * [simplify]: Extracting #3: cost 7 inf + 1 11.324 * * [simplify]: Extracting #4: cost 0 inf + 494 11.324 * [simplify]: Simplified to (/ (sqrt (+ 1 N)) N) 11.324 * [simplify]: Simplified (2 2 1 1 2) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* (/ (sqrt (+ N 1)) 1) (/ (sqrt (+ 1 N)) N)))))) 11.324 * * * * [progress]: [ 105 / 135 ] simplifiying candidate # 11.324 * [simplify]: Simplifying (/ 1 (* (cbrt N) (cbrt N))) 11.324 * * [simplify]: iters left: 5 (5 enodes) 11.326 * * [simplify]: iters left: 4 (19 enodes) 11.329 * * [simplify]: iters left: 3 (23 enodes) 11.332 * * [simplify]: Extracting #0: cost 1 inf + 0 11.332 * * [simplify]: Extracting #1: cost 6 inf + 0 11.332 * * [simplify]: Extracting #2: cost 9 inf + 1 11.333 * * [simplify]: Extracting #3: cost 1 inf + 852 11.333 * * [simplify]: Extracting #4: cost 0 inf + 974 11.333 * [simplify]: Simplified to (/ 1 (* (cbrt N) (cbrt N))) 11.333 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N))))))) 11.333 * [simplify]: Simplifying (/ (+ N 1) (cbrt N)) 11.333 * * [simplify]: iters left: 4 (5 enodes) 11.334 * * [simplify]: iters left: 3 (18 enodes) 11.337 * * [simplify]: iters left: 2 (20 enodes) 11.340 * * [simplify]: Extracting #0: cost 1 inf + 0 11.340 * * [simplify]: Extracting #1: cost 4 inf + 0 11.340 * * [simplify]: Extracting #2: cost 8 inf + 0 11.340 * * [simplify]: Extracting #3: cost 6 inf + 2 11.340 * * [simplify]: Extracting #4: cost 0 inf + 572 11.340 * [simplify]: Simplified to (/ (+ 1 N) (cbrt N)) 11.340 * [simplify]: Simplified (2 2 1 1 2) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N))))))) 11.341 * * * * [progress]: [ 106 / 135 ] simplifiying candidate # 11.341 * [simplify]: Simplifying (/ 1 (sqrt N)) 11.341 * * [simplify]: iters left: 3 (4 enodes) 11.342 * * [simplify]: iters left: 2 (14 enodes) 11.344 * * [simplify]: iters left: 1 (16 enodes) 11.347 * * [simplify]: Extracting #0: cost 1 inf + 0 11.347 * * [simplify]: Extracting #1: cost 4 inf + 0 11.347 * * [simplify]: Extracting #2: cost 5 inf + 1 11.347 * * [simplify]: Extracting #3: cost 3 inf + 43 11.347 * * [simplify]: Extracting #4: cost 1 inf + 166 11.347 * * [simplify]: Extracting #5: cost 0 inf + 248 11.347 * [simplify]: Simplified to (/ 1 (sqrt N)) 11.347 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N))))))) 11.347 * [simplify]: Simplifying (/ (+ N 1) (sqrt N)) 11.347 * * [simplify]: iters left: 4 (5 enodes) 11.349 * * [simplify]: iters left: 3 (18 enodes) 11.352 * * [simplify]: iters left: 2 (20 enodes) 11.358 * * [simplify]: Extracting #0: cost 1 inf + 0 11.358 * * [simplify]: Extracting #1: cost 4 inf + 0 11.358 * * [simplify]: Extracting #2: cost 8 inf + 0 11.358 * * [simplify]: Extracting #3: cost 6 inf + 2 11.358 * * [simplify]: Extracting #4: cost 0 inf + 412 11.358 * [simplify]: Simplified to (/ (+ 1 N) (sqrt N)) 11.358 * [simplify]: Simplified (2 2 1 1 2) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N))))))) 11.358 * * * * [progress]: [ 107 / 135 ] simplifiying candidate # 11.359 * [simplify]: Simplifying (/ 1 1) 11.359 * * [simplify]: iters left: 2 (2 enodes) 11.360 * * [simplify]: iters left: 1 (6 enodes) 11.362 * * [simplify]: Extracting #0: cost 1 inf + 0 11.362 * * [simplify]: Extracting #1: cost 0 inf + 1 11.362 * [simplify]: Simplified to 1 11.362 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* 1 (/ (+ N 1) N)))))) 11.363 * [simplify]: Simplifying (/ (+ N 1) N) 11.363 * * [simplify]: iters left: 4 (4 enodes) 11.365 * * [simplify]: iters left: 3 (15 enodes) 11.370 * * [simplify]: iters left: 2 (17 enodes) 11.375 * * [simplify]: Extracting #0: cost 1 inf + 0 11.375 * * [simplify]: Extracting #1: cost 4 inf + 0 11.375 * * [simplify]: Extracting #2: cost 5 inf + 1 11.375 * * [simplify]: Extracting #3: cost 3 inf + 44 11.375 * * [simplify]: Extracting #4: cost 1 inf + 168 11.375 * * [simplify]: Extracting #5: cost 0 inf + 250 11.375 * [simplify]: Simplified to (/ (+ 1 N) N) 11.376 * [simplify]: Simplified (2 2 1 1 2) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* 1 (/ (+ 1 N) N)))))) 11.376 * * * * [progress]: [ 108 / 135 ] simplifiying candidate # 11.376 * [simplify]: Simplifying (/ 1 (* (cbrt N) (cbrt N))) 11.376 * * [simplify]: iters left: 5 (5 enodes) 11.379 * * [simplify]: iters left: 4 (19 enodes) 11.385 * * [simplify]: iters left: 3 (23 enodes) 11.390 * * [simplify]: Extracting #0: cost 1 inf + 0 11.390 * * [simplify]: Extracting #1: cost 6 inf + 0 11.390 * * [simplify]: Extracting #2: cost 9 inf + 1 11.390 * * [simplify]: Extracting #3: cost 1 inf + 852 11.390 * * [simplify]: Extracting #4: cost 0 inf + 974 11.390 * [simplify]: Simplified to (/ 1 (* (cbrt N) (cbrt N))) 11.390 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N))))))) 11.391 * [simplify]: Simplifying (/ (+ N 1) (cbrt N)) 11.391 * * [simplify]: iters left: 4 (5 enodes) 11.392 * * [simplify]: iters left: 3 (18 enodes) 11.395 * * [simplify]: iters left: 2 (20 enodes) 11.400 * * [simplify]: Extracting #0: cost 1 inf + 0 11.400 * * [simplify]: Extracting #1: cost 4 inf + 0 11.400 * * [simplify]: Extracting #2: cost 8 inf + 0 11.400 * * [simplify]: Extracting #3: cost 6 inf + 2 11.400 * * [simplify]: Extracting #4: cost 0 inf + 572 11.400 * [simplify]: Simplified to (/ (+ 1 N) (cbrt N)) 11.400 * [simplify]: Simplified (2 2 1 1 2) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N))))))) 11.400 * * * * [progress]: [ 109 / 135 ] simplifiying candidate # 11.400 * [simplify]: Simplifying (/ 1 (sqrt N)) 11.400 * * [simplify]: iters left: 3 (4 enodes) 11.402 * * [simplify]: iters left: 2 (14 enodes) 11.404 * * [simplify]: iters left: 1 (16 enodes) 11.406 * * [simplify]: Extracting #0: cost 1 inf + 0 11.406 * * [simplify]: Extracting #1: cost 4 inf + 0 11.406 * * [simplify]: Extracting #2: cost 5 inf + 1 11.406 * * [simplify]: Extracting #3: cost 3 inf + 43 11.406 * * [simplify]: Extracting #4: cost 1 inf + 166 11.407 * * [simplify]: Extracting #5: cost 0 inf + 248 11.407 * [simplify]: Simplified to (/ 1 (sqrt N)) 11.407 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N))))))) 11.407 * [simplify]: Simplifying (/ (+ N 1) (sqrt N)) 11.407 * * [simplify]: iters left: 4 (5 enodes) 11.408 * * [simplify]: iters left: 3 (18 enodes) 11.411 * * [simplify]: iters left: 2 (20 enodes) 11.414 * * [simplify]: Extracting #0: cost 1 inf + 0 11.414 * * [simplify]: Extracting #1: cost 4 inf + 0 11.414 * * [simplify]: Extracting #2: cost 8 inf + 0 11.414 * * [simplify]: Extracting #3: cost 6 inf + 2 11.414 * * [simplify]: Extracting #4: cost 0 inf + 412 11.414 * [simplify]: Simplified to (/ (+ 1 N) (sqrt N)) 11.414 * [simplify]: Simplified (2 2 1 1 2) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N))))))) 11.414 * * * * [progress]: [ 110 / 135 ] simplifiying candidate # 11.415 * [simplify]: Simplifying (/ 1 1) 11.415 * * [simplify]: iters left: 2 (2 enodes) 11.415 * * [simplify]: iters left: 1 (6 enodes) 11.416 * * [simplify]: Extracting #0: cost 1 inf + 0 11.417 * * [simplify]: Extracting #1: cost 0 inf + 1 11.417 * [simplify]: Simplified to 1 11.417 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* 1 (/ (+ N 1) N)))))) 11.417 * [simplify]: Simplifying (/ (+ N 1) N) 11.417 * * [simplify]: iters left: 4 (4 enodes) 11.418 * * [simplify]: iters left: 3 (15 enodes) 11.421 * * [simplify]: iters left: 2 (17 enodes) 11.425 * * [simplify]: Extracting #0: cost 1 inf + 0 11.426 * * [simplify]: Extracting #1: cost 4 inf + 0 11.426 * * [simplify]: Extracting #2: cost 5 inf + 1 11.426 * * [simplify]: Extracting #3: cost 3 inf + 44 11.426 * * [simplify]: Extracting #4: cost 1 inf + 168 11.426 * * [simplify]: Extracting #5: cost 0 inf + 250 11.426 * [simplify]: Simplified to (/ (+ 1 N) N) 11.426 * [simplify]: Simplified (2 2 1 1 2) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (* 1 (/ (+ 1 N) N)))))) 11.426 * * * * [progress]: [ 111 / 135 ] simplifiying candidate # 11.426 * * * * [progress]: [ 112 / 135 ] simplifiying candidate # 11.426 * * * * [progress]: [ 113 / 135 ] simplifiying candidate # 11.427 * * * * [progress]: [ 114 / 135 ] simplifiying candidate # 11.427 * [simplify]: Simplifying (cbrt N) 11.427 * * [simplify]: iters left: 1 (2 enodes) 11.428 * * [simplify]: Extracting #0: cost 1 inf + 0 11.428 * * [simplify]: Extracting #1: cost 3 inf + 0 11.428 * * [simplify]: Extracting #2: cost 2 inf + 1 11.428 * * [simplify]: Extracting #3: cost 0 inf + 163 11.428 * [simplify]: Simplified to (cbrt N) 11.428 * [simplify]: Simplified (2 2 1 1 2) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (/ (/ (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N)))))) 11.428 * * * * [progress]: [ 115 / 135 ] simplifiying candidate # 11.428 * [simplify]: Simplifying (sqrt N) 11.428 * * [simplify]: iters left: 1 (2 enodes) 11.429 * * [simplify]: Extracting #0: cost 1 inf + 0 11.429 * * [simplify]: Extracting #1: cost 3 inf + 0 11.429 * * [simplify]: Extracting #2: cost 2 inf + 1 11.429 * * [simplify]: Extracting #3: cost 0 inf + 83 11.429 * [simplify]: Simplified to (sqrt N) 11.429 * [simplify]: Simplified (2 2 1 1 2) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (/ (/ (+ N 1) (sqrt N)) (sqrt N)))))) 11.430 * * * * [progress]: [ 116 / 135 ] simplifiying candidate # 11.430 * * * * [progress]: [ 117 / 135 ] simplifiying candidate # 11.430 * [simplify]: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1))) 11.430 * * [simplify]: iters left: 5 (5 enodes) 11.433 * * [simplify]: iters left: 4 (18 enodes) 11.438 * * [simplify]: iters left: 3 (20 enodes) 11.444 * * [simplify]: Extracting #0: cost 1 inf + 0 11.444 * * [simplify]: Extracting #1: cost 3 inf + 0 11.444 * * [simplify]: Extracting #2: cost 5 inf + 0 11.444 * * [simplify]: Extracting #3: cost 8 inf + 0 11.444 * * [simplify]: Extracting #4: cost 6 inf + 2 11.444 * * [simplify]: Extracting #5: cost 0 inf + 654 11.444 * [simplify]: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 11.445 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ N (cbrt (+ N 1)))))))) 11.445 * * * * [progress]: [ 118 / 135 ] simplifiying candidate # 11.445 * [simplify]: Simplifying (sqrt (+ N 1)) 11.445 * * [simplify]: iters left: 3 (4 enodes) 11.447 * * [simplify]: iters left: 2 (15 enodes) 11.452 * * [simplify]: iters left: 1 (17 enodes) 11.457 * * [simplify]: Extracting #0: cost 1 inf + 0 11.457 * * [simplify]: Extracting #1: cost 3 inf + 0 11.457 * * [simplify]: Extracting #2: cost 6 inf + 0 11.457 * * [simplify]: Extracting #3: cost 2 inf + 86 11.457 * * [simplify]: Extracting #4: cost 1 inf + 168 11.457 * * [simplify]: Extracting #5: cost 0 inf + 250 11.457 * [simplify]: Simplified to (sqrt (+ 1 N)) 11.457 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (/ (sqrt (+ 1 N)) (/ N (sqrt (+ N 1)))))))) 11.458 * * * * [progress]: [ 119 / 135 ] simplifiying candidate # 11.458 * * * * [progress]: [ 120 / 135 ] simplifiying candidate # 11.458 * * * * [progress]: [ 121 / 135 ] simplifiying candidate # 11.458 * [simplify]: Simplifying (+ (pow N 3) (pow 1 3)) 11.458 * * [simplify]: iters left: 3 (6 enodes) 11.463 * * [simplify]: iters left: 2 (29 enodes) 11.474 * * [simplify]: iters left: 1 (47 enodes) 11.490 * * [simplify]: Extracting #0: cost 1 inf + 0 11.490 * * [simplify]: Extracting #1: cost 4 inf + 0 11.490 * * [simplify]: Extracting #2: cost 9 inf + 1 11.491 * * [simplify]: Extracting #3: cost 11 inf + 3 11.491 * * [simplify]: Extracting #4: cost 9 inf + 722 11.491 * * [simplify]: Extracting #5: cost 4 inf + 1300 11.491 * * [simplify]: Extracting #6: cost 1 inf + 1594 11.492 * * [simplify]: Extracting #7: cost 0 inf + 1806 11.492 * [simplify]: Simplified to (+ 1 (* N (* N N))) 11.492 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (/ (+ 1 (* N (* N N))) (* N (+ (* N N) (- (* 1 1) (* N 1))))))))) 11.493 * * * * [progress]: [ 122 / 135 ] simplifiying candidate # 11.493 * [simplify]: Simplifying (- (* N N) (* 1 1)) 11.493 * * [simplify]: iters left: 4 (5 enodes) 11.496 * * [simplify]: iters left: 3 (18 enodes) 11.502 * * [simplify]: iters left: 2 (25 enodes) 11.509 * * [simplify]: iters left: 1 (32 enodes) 11.518 * * [simplify]: Extracting #0: cost 1 inf + 0 11.518 * * [simplify]: Extracting #1: cost 15 inf + 0 11.519 * * [simplify]: Extracting #2: cost 17 inf + 2 11.519 * * [simplify]: Extracting #3: cost 14 inf + 85 11.519 * * [simplify]: Extracting #4: cost 0 inf + 1077 11.520 * [simplify]: Simplified to (- (* N N) 1) 11.520 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (/ (- (* N N) 1) (* N (- N 1))))))) 11.520 * * * * [progress]: [ 123 / 135 ] simplifiying candidate #real (real->posit16 (/ (+ N 1) N)))))))> 11.520 * * * * [progress]: [ 124 / 135 ] simplifiying candidate # 11.520 * [simplify]: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 11.520 * [simplify]: Simplified (2 2) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) +nan.0)) 11.521 * * * * [progress]: [ 125 / 135 ] simplifiying candidate # 11.521 * [simplify]: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 11.521 * * [simplify]: iters left: 6 (17 enodes) 11.538 * * [simplify]: iters left: 5 (77 enodes) 11.559 * * [simplify]: iters left: 4 (125 enodes) 11.578 * * [simplify]: iters left: 3 (181 enodes) 11.620 * * [simplify]: iters left: 2 (289 enodes) 11.670 * * [simplify]: Extracting #0: cost 1 inf + 0 11.670 * * [simplify]: Extracting #1: cost 11 inf + 0 11.670 * * [simplify]: Extracting #2: cost 70 inf + 0 11.670 * * [simplify]: Extracting #3: cost 115 inf + 377 11.671 * * [simplify]: Extracting #4: cost 90 inf + 5398 11.674 * * [simplify]: Extracting #5: cost 25 inf + 25165 11.677 * * [simplify]: Extracting #6: cost 6 inf + 30523 11.682 * * [simplify]: Extracting #7: cost 0 inf + 32590 11.688 * [simplify]: Simplified to (+ (+ (/ (/ 1/6 (* N N)) N) (/ 1/2 N)) (/ -1/4 (* N N))) 11.688 * [simplify]: Simplified (2 2) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (+ (/ (/ 1/6 (* N N)) N) (/ 1/2 N)) (/ -1/4 (* N N))))) 11.689 * * * * [progress]: [ 126 / 135 ] simplifiying candidate # 11.689 * [simplify]: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 11.689 * * [simplify]: iters left: 6 (17 enodes) 11.695 * * [simplify]: iters left: 5 (77 enodes) 11.714 * * [simplify]: iters left: 4 (125 enodes) 11.734 * * [simplify]: iters left: 3 (181 enodes) 11.776 * * [simplify]: iters left: 2 (289 enodes) 11.846 * * [simplify]: Extracting #0: cost 1 inf + 0 11.846 * * [simplify]: Extracting #1: cost 11 inf + 0 11.846 * * [simplify]: Extracting #2: cost 70 inf + 0 11.847 * * [simplify]: Extracting #3: cost 115 inf + 377 11.848 * * [simplify]: Extracting #4: cost 90 inf + 5398 11.854 * * [simplify]: Extracting #5: cost 25 inf + 25165 11.861 * * [simplify]: Extracting #6: cost 6 inf + 30523 11.868 * * [simplify]: Extracting #7: cost 0 inf + 32590 11.875 * [simplify]: Simplified to (+ (+ (/ (/ 1/6 (* N N)) N) (/ 1/2 N)) (/ -1/4 (* N N))) 11.875 * [simplify]: Simplified (2 2) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (+ (/ (/ 1/6 (* N N)) N) (/ 1/2 N)) (/ -1/4 (* N N))))) 11.876 * * * * [progress]: [ 127 / 135 ] simplifiying candidate # 11.876 * [simplify]: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 11.876 * * [simplify]: iters left: 6 (8 enodes) 11.881 * * [simplify]: iters left: 5 (35 enodes) 11.893 * * [simplify]: iters left: 4 (56 enodes) 11.911 * * [simplify]: iters left: 3 (95 enodes) 11.938 * * [simplify]: iters left: 2 (128 enodes) 11.958 * * [simplify]: iters left: 1 (162 enodes) 11.990 * * [simplify]: Extracting #0: cost 1 inf + 0 11.990 * * [simplify]: Extracting #1: cost 16 inf + 0 11.990 * * [simplify]: Extracting #2: cost 33 inf + 1 11.990 * * [simplify]: Extracting #3: cost 30 inf + 525 11.991 * * [simplify]: Extracting #4: cost 6 inf + 3093 11.992 * * [simplify]: Extracting #5: cost 0 inf + 4025 11.993 * * [simplify]: Extracting #6: cost 0 inf + 3985 11.994 * [simplify]: Simplified to (- N (+ (log N) (* N (* N 1/2)))) 11.994 * [simplify]: Simplified (2 1 2) to (λ (N) (+ (* 1/2 (- N (+ (log N) (* N (* N 1/2))))) (log (sqrt (/ (+ N 1) N))))) 11.994 * * * * [progress]: [ 128 / 135 ] simplifiying candidate # 11.994 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 11.994 * * [simplify]: iters left: 6 (15 enodes) 12.000 * * [simplify]: iters left: 5 (68 enodes) 12.017 * * [simplify]: iters left: 4 (114 enodes) 12.048 * * [simplify]: iters left: 3 (170 enodes) 12.076 * * [simplify]: iters left: 2 (278 enodes) 12.165 * * [simplify]: Extracting #0: cost 1 inf + 0 12.165 * * [simplify]: Extracting #1: cost 11 inf + 0 12.165 * * [simplify]: Extracting #2: cost 69 inf + 0 12.166 * * [simplify]: Extracting #3: cost 110 inf + 741 12.168 * * [simplify]: Extracting #4: cost 88 inf + 3078 12.172 * * [simplify]: Extracting #5: cost 40 inf + 17981 12.179 * * [simplify]: Extracting #6: cost 6 inf + 30433 12.186 * * [simplify]: Extracting #7: cost 0 inf + 32845 12.193 * * [simplify]: Extracting #8: cost 0 inf + 32765 12.199 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 12.200 * [simplify]: Simplified (2 1 2) to (λ (N) (+ (* 1/2 (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) (log (sqrt (/ (+ N 1) N))))) 12.200 * * * * [progress]: [ 129 / 135 ] simplifiying candidate # 12.200 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 12.200 * * [simplify]: iters left: 6 (15 enodes) 12.207 * * [simplify]: iters left: 5 (68 enodes) 12.234 * * [simplify]: iters left: 4 (114 enodes) 12.275 * * [simplify]: iters left: 3 (170 enodes) 12.331 * * [simplify]: iters left: 2 (278 enodes) 12.403 * * [simplify]: Extracting #0: cost 1 inf + 0 12.403 * * [simplify]: Extracting #1: cost 11 inf + 0 12.403 * * [simplify]: Extracting #2: cost 69 inf + 0 12.404 * * [simplify]: Extracting #3: cost 110 inf + 741 12.406 * * [simplify]: Extracting #4: cost 88 inf + 3078 12.410 * * [simplify]: Extracting #5: cost 40 inf + 17981 12.416 * * [simplify]: Extracting #6: cost 6 inf + 30433 12.422 * * [simplify]: Extracting #7: cost 0 inf + 32845 12.425 * * [simplify]: Extracting #8: cost 0 inf + 32765 12.429 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 12.429 * [simplify]: Simplified (2 1 2) to (λ (N) (+ (* 1/2 (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) (log (sqrt (/ (+ N 1) N))))) 12.429 * * * * [progress]: [ 130 / 135 ] simplifiying candidate # 12.429 * [simplify]: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 12.429 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log +nan.0))) 12.429 * * * * [progress]: [ 131 / 135 ] simplifiying candidate # 12.429 * [simplify]: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 12.429 * * [simplify]: iters left: 6 (12 enodes) 12.434 * * [simplify]: iters left: 5 (53 enodes) 12.444 * * [simplify]: iters left: 4 (81 enodes) 12.458 * * [simplify]: iters left: 3 (101 enodes) 12.484 * * [simplify]: iters left: 2 (117 enodes) 12.517 * * [simplify]: iters left: 1 (133 enodes) 12.555 * * [simplify]: Extracting #0: cost 1 inf + 0 12.555 * * [simplify]: Extracting #1: cost 16 inf + 0 12.555 * * [simplify]: Extracting #2: cost 39 inf + 1 12.556 * * [simplify]: Extracting #3: cost 29 inf + 873 12.557 * * [simplify]: Extracting #4: cost 3 inf + 3217 12.559 * * [simplify]: Extracting #5: cost 0 inf + 3665 12.561 * [simplify]: Simplified to (+ (/ 1/2 N) (+ 1 (/ -1/8 (* N N)))) 12.561 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (+ (/ 1/2 N) (+ 1 (/ -1/8 (* N N))))))) 12.561 * * * * [progress]: [ 132 / 135 ] simplifiying candidate # 12.562 * [simplify]: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 12.562 * * [simplify]: iters left: 6 (12 enodes) 12.568 * * [simplify]: iters left: 5 (53 enodes) 12.577 * * [simplify]: iters left: 4 (81 enodes) 12.589 * * [simplify]: iters left: 3 (101 enodes) 12.610 * * [simplify]: iters left: 2 (117 enodes) 12.628 * * [simplify]: iters left: 1 (133 enodes) 12.655 * * [simplify]: Extracting #0: cost 1 inf + 0 12.655 * * [simplify]: Extracting #1: cost 16 inf + 0 12.655 * * [simplify]: Extracting #2: cost 39 inf + 1 12.655 * * [simplify]: Extracting #3: cost 29 inf + 873 12.656 * * [simplify]: Extracting #4: cost 3 inf + 3217 12.657 * * [simplify]: Extracting #5: cost 0 inf + 3665 12.658 * [simplify]: Simplified to (+ (/ 1/2 N) (+ 1 (/ -1/8 (* N N)))) 12.658 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (+ (/ 1/2 N) (+ 1 (/ -1/8 (* N N))))))) 12.658 * * * * [progress]: [ 133 / 135 ] simplifiying candidate # 12.658 * [simplify]: Simplifying (+ (/ 1 N) 1) 12.658 * * [simplify]: iters left: 4 (4 enodes) 12.660 * * [simplify]: iters left: 3 (15 enodes) 12.663 * * [simplify]: iters left: 2 (17 enodes) 12.666 * * [simplify]: Extracting #0: cost 1 inf + 0 12.666 * * [simplify]: Extracting #1: cost 4 inf + 0 12.666 * * [simplify]: Extracting #2: cost 5 inf + 1 12.666 * * [simplify]: Extracting #3: cost 4 inf + 2 12.666 * * [simplify]: Extracting #4: cost 1 inf + 208 12.666 * * [simplify]: Extracting #5: cost 0 inf + 250 12.666 * [simplify]: Simplified to (+ 1 (/ 1 N)) 12.666 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (+ 1 (/ 1 N)))))) 12.666 * * * * [progress]: [ 134 / 135 ] simplifiying candidate # 12.667 * [simplify]: Simplifying (+ (/ 1 N) 1) 12.667 * * [simplify]: iters left: 4 (4 enodes) 12.668 * * [simplify]: iters left: 3 (15 enodes) 12.671 * * [simplify]: iters left: 2 (17 enodes) 12.675 * * [simplify]: Extracting #0: cost 1 inf + 0 12.675 * * [simplify]: Extracting #1: cost 4 inf + 0 12.675 * * [simplify]: Extracting #2: cost 5 inf + 1 12.675 * * [simplify]: Extracting #3: cost 4 inf + 2 12.675 * * [simplify]: Extracting #4: cost 1 inf + 208 12.675 * * [simplify]: Extracting #5: cost 0 inf + 250 12.675 * [simplify]: Simplified to (+ 1 (/ 1 N)) 12.675 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (+ 1 (/ 1 N)))))) 12.675 * * * * [progress]: [ 135 / 135 ] simplifiying candidate # 12.675 * [simplify]: Simplifying (+ (/ 1 N) 1) 12.675 * * [simplify]: iters left: 4 (4 enodes) 12.677 * * [simplify]: iters left: 3 (15 enodes) 12.679 * * [simplify]: iters left: 2 (17 enodes) 12.684 * * [simplify]: Extracting #0: cost 1 inf + 0 12.684 * * [simplify]: Extracting #1: cost 4 inf + 0 12.684 * * [simplify]: Extracting #2: cost 5 inf + 1 12.684 * * [simplify]: Extracting #3: cost 4 inf + 2 12.684 * * [simplify]: Extracting #4: cost 1 inf + 208 12.685 * * [simplify]: Extracting #5: cost 0 inf + 250 12.685 * [simplify]: Simplified to (+ 1 (/ 1 N)) 12.685 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (+ 1 (/ 1 N)))))) 12.685 * * * [progress]: adding candidates to table 14.008 * [progress]: [Phase 3 of 3] Extracting. 14.008 * * [regime]: Finding splitpoints for: (# # # # #) 14.010 * * * [regime-changes]: Trying 1 branch expressions: (N) 14.010 * * * * [regimes]: Trying to branch on N from (# # # # #) 14.080 * * * [regime]: Found split indices: #