0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.061 * * * [progress]: [2/2] Setting up program. 0.064 * [progress]: [Phase 2 of 3] Improving. 0.064 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.064 * [simplify]: Simplifying (- (log (+ N 1)) (log N)) 0.064 * * [simplify]: iteration 1: (6 enodes) 0.066 * * [simplify]: iteration 2: (23 enodes) 0.069 * * [simplify]: iteration 3: (28 enodes) 0.073 * * [simplify]: Extracting #0: cost 1 inf + 0 0.073 * * [simplify]: Extracting #1: cost 5 inf + 0 0.073 * * [simplify]: Extracting #2: cost 10 inf + 0 0.073 * * [simplify]: Extracting #3: cost 11 inf + 1 0.073 * * [simplify]: Extracting #4: cost 6 inf + 228 0.074 * * [simplify]: Extracting #5: cost 1 inf + 896 0.074 * * [simplify]: Extracting #6: cost 0 inf + 1118 0.074 * [simplify]: Simplified to (- (log (+ 1 N)) (log N)) 0.076 * * [progress]: iteration 1 / 4 0.076 * * * [progress]: picking best candidate 0.078 * * * * [pick]: Picked # 0.078 * * * [progress]: localizing error 0.089 * * * [progress]: generating rewritten candidates 0.089 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.113 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.118 * * * [progress]: generating series expansions 0.118 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.121 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.121 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.122 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.122 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.122 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.122 * [taylor]: Taking taylor expansion of N in N 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [taylor]: Taking taylor expansion of 1 in N 0.122 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (+ 0 1) into 1 0.123 * [backup-simplify]: Simplify (log 1) into 0 0.123 * [taylor]: Taking taylor expansion of (log N) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (log 1) into 0 0.123 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.123 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.123 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of 1 in N 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (+ 0 1) into 1 0.124 * [backup-simplify]: Simplify (log 1) into 0 0.124 * [taylor]: Taking taylor expansion of (log N) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (log 1) into 0 0.127 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.127 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.127 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.127 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.127 * [backup-simplify]: Simplify (+ 1 0) into 1 0.128 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.129 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.129 * [backup-simplify]: Simplify (- 0) into 0 0.129 * [backup-simplify]: Simplify (+ 1 0) into 1 0.129 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.133 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.134 * [backup-simplify]: Simplify -1/2 into -1/2 0.135 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.135 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.135 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.135 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.135 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.135 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.135 * [taylor]: Taking taylor expansion of N in N 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [taylor]: Taking taylor expansion of 1 in N 0.135 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (+ 1 0) into 1 0.136 * [backup-simplify]: Simplify (log 1) into 0 0.136 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.136 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.136 * [taylor]: Taking taylor expansion of N in N 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [backup-simplify]: Simplify (log 1) into 0 0.137 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.137 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [taylor]: Taking taylor expansion of 1 in N 0.137 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (+ 1 0) into 1 0.138 * [backup-simplify]: Simplify (log 1) into 0 0.138 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.138 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [backup-simplify]: Simplify (log 1) into 0 0.140 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.141 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.141 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.141 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (+ 0 1) into 1 0.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.147 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ 1 0) into 1 0.147 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.157 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.157 * [backup-simplify]: Simplify -1/2 into -1/2 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [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 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [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 0.166 * [backup-simplify]: Simplify (- 0) into 0 0.167 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.167 * [backup-simplify]: Simplify 1/3 into 1/3 0.167 * [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)))) 0.167 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.167 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.168 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.168 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.168 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.168 * [taylor]: Taking taylor expansion of 1 in N 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [backup-simplify]: Simplify (- 1) into -1 0.169 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.169 * [backup-simplify]: Simplify (log -1) into (log -1) 0.169 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.169 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.169 * [taylor]: Taking taylor expansion of -1 in N 0.169 * [backup-simplify]: Simplify -1 into -1 0.169 * [taylor]: Taking taylor expansion of N in N 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (/ -1 1) into -1 0.170 * [backup-simplify]: Simplify (log -1) into (log -1) 0.170 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.170 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.170 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.170 * [taylor]: Taking taylor expansion of 1 in N 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [backup-simplify]: Simplify (- 1) into -1 0.171 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.172 * [backup-simplify]: Simplify (log -1) into (log -1) 0.172 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.172 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.172 * [taylor]: Taking taylor expansion of -1 in N 0.172 * [backup-simplify]: Simplify -1 into -1 0.172 * [taylor]: Taking taylor expansion of N in N 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (/ -1 1) into -1 0.172 * [backup-simplify]: Simplify (log -1) into (log -1) 0.173 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.173 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.174 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.174 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (- 0) into 0 0.175 * [backup-simplify]: Simplify (+ 1 0) into 1 0.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.178 * [backup-simplify]: Simplify (- 0) into 0 0.178 * [backup-simplify]: Simplify (+ -1 0) into -1 0.178 * [backup-simplify]: Simplify -1 into -1 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (- 0) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.181 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.184 * [backup-simplify]: Simplify (- 0) into 0 0.185 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.185 * [backup-simplify]: Simplify -1/2 into -1/2 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [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 0.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [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 0.193 * [backup-simplify]: Simplify (- 0) into 0 0.193 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.193 * [backup-simplify]: Simplify -1/3 into -1/3 0.194 * [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)))) 0.194 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.194 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.194 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.194 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.194 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [taylor]: Taking taylor expansion of 1 in N 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (+ 0 1) into 1 0.194 * [backup-simplify]: Simplify (log 1) into 0 0.194 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.194 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [taylor]: Taking taylor expansion of 1 in N 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (+ 0 1) into 1 0.195 * [backup-simplify]: Simplify (log 1) into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (+ 1 0) into 1 0.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.198 * [backup-simplify]: Simplify -1/2 into -1/2 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [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 0.208 * [backup-simplify]: Simplify 1/3 into 1/3 0.209 * [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))) 0.209 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.209 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.210 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.210 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.210 * [taylor]: Taking taylor expansion of N in N 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [taylor]: Taking taylor expansion of 1 in N 0.210 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (+ 1 0) into 1 0.211 * [backup-simplify]: Simplify (log 1) into 0 0.211 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.211 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.211 * [taylor]: Taking taylor expansion of N in N 0.211 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [taylor]: Taking taylor expansion of 1 in N 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (+ 1 0) into 1 0.213 * [backup-simplify]: Simplify (log 1) into 0 0.213 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.213 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ 0 1) into 1 0.216 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.216 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.220 * [backup-simplify]: Simplify -1/2 into -1/2 0.221 * [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)))) 0.221 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.221 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.221 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.221 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.221 * [taylor]: Taking taylor expansion of 1 in N 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.221 * [taylor]: Taking taylor expansion of N in N 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [backup-simplify]: Simplify (- 1) into -1 0.222 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.223 * [backup-simplify]: Simplify (log -1) into (log -1) 0.223 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.223 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.223 * [taylor]: Taking taylor expansion of 1 in N 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [backup-simplify]: Simplify (- 1) into -1 0.224 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.224 * [backup-simplify]: Simplify (log -1) into (log -1) 0.225 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.225 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ 1 0) into 1 0.227 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.227 * [backup-simplify]: Simplify -1 into -1 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.230 * [backup-simplify]: Simplify -1/2 into -1/2 0.230 * [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)))) 0.230 * * * [progress]: simplifying candidates 0.230 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.230 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.230 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 16 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 27 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.231 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.231 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.232 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.233 * [simplify]: Simplifying (/ (+ N 1) N), (log (- (log (+ N 1)) (log N))), (exp (- (log (+ N 1)) (log N))), (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))), (cbrt (- (log (+ N 1)) (log N))), (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))), (sqrt (- (log (+ N 1)) (log N))), (sqrt (- (log (+ N 1)) (log N))), (- (pow (log (+ N 1)) 3) (pow (log N) 3)), (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N)))), (- (log N)), (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))), (+ (log (+ N 1)) (log N)), (+ (sqrt (log (+ N 1))) (sqrt (log N))), (- (sqrt (log (+ N 1))) (sqrt (log N))), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))), (- (log (+ N 1)) (log (sqrt N))), (- (log (+ N 1)) (log 1)), (- (log (cbrt (+ N 1))) (log N)), (- (log (sqrt (+ N 1))) (log N)), (- (log (+ N 1)) (log N)), (- (log (+ N 1)) (log N)), (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)), (+ (log (- N 1)) (log N)), (- (log N)), (real->posit16 (- (log (+ N 1)) (log N))), (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))), (log (cbrt (+ N 1))), (log (sqrt (+ N 1))), (log (sqrt (+ N 1))), (log 1), (log (+ N 1)), (log 1), (log (+ N 1)), (log (+ (pow N 3) (pow 1 3))), (log (+ (* N N) (- (* 1 1) (* N 1)))), (log (- (* N N) (* 1 1))), (log (- N 1)), (log (+ N 1)), (log (log (+ N 1))), (exp (log (+ N 1))), (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))), (cbrt (log (+ N 1))), (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))), (sqrt (log (+ N 1))), (sqrt (log (+ N 1))), (real->posit16 (log (+ N 1))), (- N (+ (log N) (* 1/2 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))), (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))), (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.233 * * [simplify]: iteration 1: (97 enodes) 0.266 * * [simplify]: iteration 2: (369 enodes) 0.360 * * [simplify]: iteration 3: (633 enodes) 0.541 * * [simplify]: iteration 4: (1182 enodes) 1.138 * * [simplify]: Extracting #0: cost 41 inf + 0 1.139 * * [simplify]: Extracting #1: cost 231 inf + 1 1.141 * * [simplify]: Extracting #2: cost 523 inf + 3283 1.149 * * [simplify]: Extracting #3: cost 470 inf + 25383 1.171 * * [simplify]: Extracting #4: cost 182 inf + 90049 1.196 * * [simplify]: Extracting #5: cost 24 inf + 139287 1.224 * * [simplify]: Extracting #6: cost 0 inf + 149366 1.249 * [simplify]: Simplified to (/ (+ 1 N) N), (log (- (log (+ 1 N)) (log N))), (/ (+ 1 N) N), (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))), (cbrt (- (log (+ 1 N)) (log N))), (* (* (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N))) (- (log (+ 1 N)) (log N))), (sqrt (- (log (+ 1 N)) (log N))), (sqrt (- (log (+ 1 N)) (log N))), (- (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (* (log N) (* (log N) (log N)))), (+ (* (log N) (+ (log N) (log (+ 1 N)))) (* (log (+ 1 N)) (log (+ 1 N)))), (- (log N)), (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))), (+ (log N) (log (+ 1 N))), (+ (sqrt (log N)) (sqrt (log (+ 1 N)))), (- (sqrt (log (+ 1 N))) (sqrt (log N))), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log N)), (- (- (log (+ 1 N)) (log (cbrt N))) (log (cbrt N))), (- (log (+ 1 N)) (log (sqrt N))), (log (+ 1 N)), (- (log (cbrt (+ 1 N))) (log N)), (- (log (sqrt (+ 1 N))) (log N)), (- (log (+ 1 N)) (log N)), (- (log (+ 1 N)) (log N)), (+ (log (+ 1 (- (* N N) N))) (log N)), (+ (log N) (log (- N 1))), (- (log N)), (real->posit16 (- (log (+ 1 N)) (log N))), (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))), (log (cbrt (+ 1 N))), (log (sqrt (+ 1 N))), (log (sqrt (+ 1 N))), 0, (log (+ 1 N)), 0, (log (+ 1 N)), (log (+ 1 (* N (* N N)))), (log (+ 1 (- (* N N) N))), (log (- (* N N) 1)), (log (- N 1)), (log (+ 1 N)), (log (log (+ 1 N))), (+ 1 N), (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))), (cbrt (log (+ 1 N))), (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))), (sqrt (log (+ 1 N))), (sqrt (log (+ 1 N))), (real->posit16 (log (+ 1 N))), (- (- N (log N)) (* (* N 1/2) N)), (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))), (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))), (+ (* (+ (* N 1/3) -1/2) (* N N)) N), (- (+ (log N) (/ 1 N)) (/ 1/2 (* N N))), (- (+ (log N) (/ 1 N)) (/ 1/2 (* N N))) 1.252 * * * [progress]: adding candidates to table 1.587 * * [progress]: iteration 2 / 4 1.587 * * * [progress]: picking best candidate 1.596 * * * * [pick]: Picked # 1.596 * * * [progress]: localizing error 1.604 * * * [progress]: generating rewritten candidates 1.604 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.607 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.627 * * * [progress]: generating series expansions 1.627 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.627 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 1.627 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1.627 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1.627 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 1.627 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.627 * [taylor]: Taking taylor expansion of N in N 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 1 into 1 1.627 * [taylor]: Taking taylor expansion of 1 in N 1.627 * [backup-simplify]: Simplify 1 into 1 1.628 * [taylor]: Taking taylor expansion of N in N 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 1 into 1 1.628 * [backup-simplify]: Simplify (+ 0 1) into 1 1.629 * [backup-simplify]: Simplify (/ 1 1) into 1 1.629 * [backup-simplify]: Simplify (log 1) into 0 1.629 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1.629 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 1.629 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.629 * [taylor]: Taking taylor expansion of N in N 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 1 into 1 1.629 * [taylor]: Taking taylor expansion of 1 in N 1.629 * [backup-simplify]: Simplify 1 into 1 1.629 * [taylor]: Taking taylor expansion of N in N 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 1 into 1 1.630 * [backup-simplify]: Simplify (+ 0 1) into 1 1.630 * [backup-simplify]: Simplify (/ 1 1) into 1 1.631 * [backup-simplify]: Simplify (log 1) into 0 1.631 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.631 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.632 * [backup-simplify]: Simplify (+ 1 0) into 1 1.632 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1.634 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.634 * [backup-simplify]: Simplify 1 into 1 1.634 * [backup-simplify]: Simplify (+ 0 0) into 0 1.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.638 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.638 * [backup-simplify]: Simplify -1/2 into -1/2 1.638 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1.639 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1.639 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1.639 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1.639 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1.639 * [taylor]: Taking taylor expansion of N in N 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 1 into 1 1.639 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.639 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.639 * [taylor]: Taking taylor expansion of N in N 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 1 into 1 1.639 * [backup-simplify]: Simplify (/ 1 1) into 1 1.639 * [taylor]: Taking taylor expansion of 1 in N 1.639 * [backup-simplify]: Simplify 1 into 1 1.640 * [backup-simplify]: Simplify (+ 1 0) into 1 1.641 * [backup-simplify]: Simplify (* 0 1) into 0 1.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.642 * [backup-simplify]: Simplify (+ 0 1) into 1 1.642 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 1.643 * [backup-simplify]: Simplify (log 1) into 0 1.643 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1.643 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1.643 * [taylor]: Taking taylor expansion of N in N 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 1 into 1 1.643 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.643 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.643 * [taylor]: Taking taylor expansion of N in N 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 1 into 1 1.643 * [backup-simplify]: Simplify (/ 1 1) into 1 1.643 * [taylor]: Taking taylor expansion of 1 in N 1.643 * [backup-simplify]: Simplify 1 into 1 1.644 * [backup-simplify]: Simplify (+ 1 0) into 1 1.644 * [backup-simplify]: Simplify (* 0 1) into 0 1.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.645 * [backup-simplify]: Simplify (+ 0 1) into 1 1.646 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 1.646 * [backup-simplify]: Simplify (log 1) into 0 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.648 * [backup-simplify]: Simplify (+ 0 0) into 0 1.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1.650 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.650 * [backup-simplify]: Simplify 1 into 1 1.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.652 * [backup-simplify]: Simplify (+ 0 0) into 0 1.653 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1.656 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.656 * [backup-simplify]: Simplify -1/2 into -1/2 1.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.658 * [backup-simplify]: Simplify (+ 0 0) into 0 1.659 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1.665 * [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 1.665 * [backup-simplify]: Simplify 1/3 into 1/3 1.665 * [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)))) 1.666 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1.666 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1.666 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1.666 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1.666 * [taylor]: Taking taylor expansion of -1 in N 1.666 * [backup-simplify]: Simplify -1 into -1 1.666 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1.666 * [taylor]: Taking taylor expansion of N in N 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.666 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.666 * [taylor]: Taking taylor expansion of 1 in N 1.666 * [backup-simplify]: Simplify 1 into 1 1.666 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.666 * [taylor]: Taking taylor expansion of N in N 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.667 * [backup-simplify]: Simplify (/ 1 1) into 1 1.667 * [backup-simplify]: Simplify (- 1) into -1 1.668 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.668 * [backup-simplify]: Simplify (* 0 -1) into 0 1.669 * [backup-simplify]: Simplify (* -1 0) into 0 1.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.670 * [backup-simplify]: Simplify (- 0) into 0 1.670 * [backup-simplify]: Simplify (+ 1 0) into 1 1.671 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 1.672 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.672 * [backup-simplify]: Simplify (log 1) into 0 1.672 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1.672 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1.673 * [taylor]: Taking taylor expansion of -1 in N 1.673 * [backup-simplify]: Simplify -1 into -1 1.673 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1.673 * [taylor]: Taking taylor expansion of N in N 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.673 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.673 * [taylor]: Taking taylor expansion of 1 in N 1.673 * [backup-simplify]: Simplify 1 into 1 1.673 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.673 * [taylor]: Taking taylor expansion of N in N 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.673 * [backup-simplify]: Simplify (/ 1 1) into 1 1.674 * [backup-simplify]: Simplify (- 1) into -1 1.675 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.675 * [backup-simplify]: Simplify (* 0 -1) into 0 1.676 * [backup-simplify]: Simplify (* -1 0) into 0 1.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.677 * [backup-simplify]: Simplify (- 0) into 0 1.678 * [backup-simplify]: Simplify (+ 1 0) into 1 1.679 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 1.679 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.680 * [backup-simplify]: Simplify (log 1) into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.681 * [backup-simplify]: Simplify (- 0) into 0 1.682 * [backup-simplify]: Simplify (+ 0 0) into 0 1.683 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1.684 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1.685 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1.685 * [backup-simplify]: Simplify -1 into -1 1.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.687 * [backup-simplify]: Simplify (- 0) into 0 1.687 * [backup-simplify]: Simplify (+ 0 0) into 0 1.688 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1.690 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1.693 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.693 * [backup-simplify]: Simplify -1/2 into -1/2 1.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.694 * [backup-simplify]: Simplify (- 0) into 0 1.694 * [backup-simplify]: Simplify (+ 0 0) into 0 1.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1.698 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1.703 * [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 1.703 * [backup-simplify]: Simplify -1/3 into -1/3 1.704 * [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)))) 1.704 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.704 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 1.704 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 1.704 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 1.704 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.704 * [taylor]: Taking taylor expansion of N in N 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify 1 into 1 1.704 * [taylor]: Taking taylor expansion of 1 in N 1.704 * [backup-simplify]: Simplify 1 into 1 1.704 * [taylor]: Taking taylor expansion of N in N 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify 1 into 1 1.705 * [backup-simplify]: Simplify (+ 0 1) into 1 1.705 * [backup-simplify]: Simplify (/ 1 1) into 1 1.705 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 1.705 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.705 * [taylor]: Taking taylor expansion of N in N 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.705 * [taylor]: Taking taylor expansion of 1 in N 1.705 * [backup-simplify]: Simplify 1 into 1 1.705 * [taylor]: Taking taylor expansion of N in N 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.706 * [backup-simplify]: Simplify (+ 0 1) into 1 1.706 * [backup-simplify]: Simplify (/ 1 1) into 1 1.706 * [backup-simplify]: Simplify 1 into 1 1.707 * [backup-simplify]: Simplify (+ 1 0) into 1 1.708 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1.708 * [backup-simplify]: Simplify 1 into 1 1.708 * [backup-simplify]: Simplify (+ 0 0) into 0 1.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify (+ 0 0) into 0 1.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.710 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify (+ 0 0) into 0 1.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify (+ 0 0) into 0 1.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify (+ 0 0) into 0 1.715 * [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 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify (+ 0 0) into 0 1.716 * [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 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 1.716 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 1.716 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 1.716 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1.716 * [taylor]: Taking taylor expansion of N in N 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.716 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.717 * [taylor]: Taking taylor expansion of N in N 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [backup-simplify]: Simplify (/ 1 1) into 1 1.717 * [taylor]: Taking taylor expansion of 1 in N 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1.717 * [taylor]: Taking taylor expansion of N in N 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.717 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.717 * [taylor]: Taking taylor expansion of N in N 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [backup-simplify]: Simplify (/ 1 1) into 1 1.718 * [taylor]: Taking taylor expansion of 1 in N 1.718 * [backup-simplify]: Simplify 1 into 1 1.718 * [backup-simplify]: Simplify (+ 1 0) into 1 1.718 * [backup-simplify]: Simplify (* 0 1) into 0 1.718 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.720 * [backup-simplify]: Simplify (+ 0 1) into 1 1.720 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 1.720 * [backup-simplify]: Simplify 1 into 1 1.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.721 * [backup-simplify]: Simplify (+ 0 0) into 0 1.722 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1.722 * [backup-simplify]: Simplify 1 into 1 1.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.723 * [backup-simplify]: Simplify (+ 0 0) into 0 1.725 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1.725 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.726 * [backup-simplify]: Simplify (+ 0 0) into 0 1.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1.727 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.729 * [backup-simplify]: Simplify (+ 0 0) into 0 1.730 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 1.730 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.732 * [backup-simplify]: Simplify (+ 0 0) into 0 1.733 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [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 1.733 * [backup-simplify]: Simplify (+ 0 0) into 0 1.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 1.734 * [backup-simplify]: Simplify 0 into 0 1.735 * [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 1.735 * [backup-simplify]: Simplify (+ 0 0) into 0 1.736 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 1.737 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 1.737 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 1.737 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1.737 * [taylor]: Taking taylor expansion of -1 in N 1.737 * [backup-simplify]: Simplify -1 into -1 1.737 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1.737 * [taylor]: Taking taylor expansion of N in N 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.737 * [taylor]: Taking taylor expansion of 1 in N 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.737 * [taylor]: Taking taylor expansion of N in N 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [backup-simplify]: Simplify (/ 1 1) into 1 1.737 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1.737 * [taylor]: Taking taylor expansion of -1 in N 1.737 * [backup-simplify]: Simplify -1 into -1 1.737 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1.737 * [taylor]: Taking taylor expansion of N in N 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.737 * [taylor]: Taking taylor expansion of 1 in N 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.737 * [taylor]: Taking taylor expansion of N in N 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.738 * [backup-simplify]: Simplify (/ 1 1) into 1 1.738 * [backup-simplify]: Simplify (- 1) into -1 1.738 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.738 * [backup-simplify]: Simplify (* 0 -1) into 0 1.739 * [backup-simplify]: Simplify (* -1 0) into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.739 * [backup-simplify]: Simplify (- 0) into 0 1.740 * [backup-simplify]: Simplify (+ 1 0) into 1 1.740 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 1.740 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.740 * [backup-simplify]: Simplify 1 into 1 1.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.741 * [backup-simplify]: Simplify (- 0) into 0 1.741 * [backup-simplify]: Simplify (+ 0 0) into 0 1.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1.743 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1.743 * [backup-simplify]: Simplify -1 into -1 1.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify (- 0) into 0 1.744 * [backup-simplify]: Simplify (+ 0 0) into 0 1.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1.745 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.746 * [backup-simplify]: Simplify (- 0) into 0 1.746 * [backup-simplify]: Simplify (+ 0 0) into 0 1.747 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1.748 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1.748 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.749 * [backup-simplify]: Simplify (- 0) into 0 1.749 * [backup-simplify]: Simplify (+ 0 0) into 0 1.750 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1.751 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.752 * [backup-simplify]: Simplify (- 0) into 0 1.752 * [backup-simplify]: Simplify (+ 0 0) into 0 1.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1.757 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [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 1.757 * [backup-simplify]: Simplify (- 0) into 0 1.758 * [backup-simplify]: Simplify (+ 0 0) into 0 1.759 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1.760 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 1.760 * [backup-simplify]: Simplify 0 into 0 1.761 * [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 1.761 * [backup-simplify]: Simplify (- 0) into 0 1.761 * [backup-simplify]: Simplify (+ 0 0) into 0 1.762 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 1.763 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 1.763 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 1.764 * * * [progress]: simplifying candidates 1.764 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 1.764 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 1.764 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 1.764 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 1.764 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 1.764 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 1.764 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 1.764 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 1.764 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 1.764 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 1.764 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 1.764 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 1.764 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 1.764 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 1.764 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 1.764 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 1.764 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 1.764 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 1.764 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 1.764 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 1.764 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 1.764 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 1.765 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 1.765 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 1.766 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 1.766 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 1.766 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 1.766 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 1.766 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 1.766 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 1.766 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 1.766 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 1.766 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 1.766 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 1.766 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 1.766 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 1.766 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 1.766 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 1.766 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 1.766 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 1.766 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 1.767 * [simplify]: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))), (log (cbrt (/ (+ 1 N) N))), (log (sqrt (/ (+ 1 N) N))), (log (sqrt (/ (+ 1 N) N))), (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N)))), (log (/ (cbrt (+ 1 N)) (cbrt N))), (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))), (log (/ (cbrt (+ 1 N)) (sqrt N))), (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1)), (log (/ (cbrt (+ 1 N)) N)), (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))), (log (/ (sqrt (+ 1 N)) (cbrt N))), (log (/ (sqrt (+ 1 N)) (sqrt N))), (log (/ (sqrt (+ 1 N)) (sqrt N))), (log (/ (sqrt (+ 1 N)) 1)), (log (/ (sqrt (+ 1 N)) N)), (log (/ 1 (* (cbrt N) (cbrt N)))), (log (/ (+ 1 N) (cbrt N))), (log (/ 1 (sqrt N))), (log (/ (+ 1 N) (sqrt N))), (log (/ 1 1)), (log (/ (+ 1 N) N)), (log (/ 1 (* (cbrt N) (cbrt N)))), (log (/ (+ 1 N) (cbrt N))), (log (/ 1 (sqrt N))), (log (/ (+ 1 N) (sqrt N))), (log (/ 1 1)), (log (/ (+ 1 N) N)), (log 1), (log (/ (+ 1 N) N)), (log (+ 1 N)), (log (/ 1 N)), (log (+ 1 N)), (log N), (log (/ (+ 1 N) N)), (log (log (/ (+ 1 N) N))), (exp (log (/ (+ 1 N) N))), (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))), (cbrt (log (/ (+ 1 N) N))), (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))), (sqrt (log (/ (+ 1 N) N))), (sqrt (log (/ (+ 1 N) N))), (real->posit16 (log (/ (+ 1 N) N))), (- (log (+ 1 N)) (log N)), (log (/ (+ 1 N) N)), (exp (/ (+ 1 N) N)), (/ (* (* (+ 1 N) (+ 1 N)) (+ 1 N)) (* (* N N) N)), (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))), (cbrt (/ (+ 1 N) N)), (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)), (sqrt (/ (+ 1 N) N)), (sqrt (/ (+ 1 N) N)), (- (+ 1 N)), (- N), (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))), (/ (cbrt (+ 1 N)) (cbrt N)), (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)), (/ (cbrt (+ 1 N)) (sqrt N)), (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1), (/ (cbrt (+ 1 N)) N), (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))), (/ (sqrt (+ 1 N)) (cbrt N)), (/ (sqrt (+ 1 N)) (sqrt N)), (/ (sqrt (+ 1 N)) (sqrt N)), (/ (sqrt (+ 1 N)) 1), (/ (sqrt (+ 1 N)) N), (/ 1 (* (cbrt N) (cbrt N))), (/ (+ 1 N) (cbrt N)), (/ 1 (sqrt N)), (/ (+ 1 N) (sqrt N)), (/ 1 1), (/ (+ 1 N) N), (/ 1 (* (cbrt N) (cbrt N))), (/ (+ 1 N) (cbrt N)), (/ 1 (sqrt N)), (/ (+ 1 N) (sqrt N)), (/ 1 1), (/ (+ 1 N) N), (/ 1 N), (/ N (+ 1 N)), (/ (+ 1 N) (* (cbrt N) (cbrt N))), (/ (+ 1 N) (sqrt N)), (/ (+ 1 N) 1), (/ N (cbrt (+ 1 N))), (/ N (sqrt (+ 1 N))), (/ N (+ 1 N)), (/ N (+ 1 N)), (* N (+ (* 1 1) (- (* N N) (* 1 N)))), (* N (- 1 N)), (real->posit16 (/ (+ 1 N) N)), (- N (+ (log N) (* 1/2 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (+ (/ 1 N) 1), (+ (/ 1 N) 1), (+ (/ 1 N) 1) 1.767 * * [simplify]: iteration 1: (102 enodes) 1.806 * * [simplify]: iteration 2: (399 enodes) 1.888 * * [simplify]: iteration 3: (737 enodes) 2.117 * * [simplify]: iteration 4: (1515 enodes) 3.046 * * [simplify]: Extracting #0: cost 65 inf + 0 3.048 * * [simplify]: Extracting #1: cost 327 inf + 2 3.054 * * [simplify]: Extracting #2: cost 724 inf + 3198 3.077 * * [simplify]: Extracting #3: cost 525 inf + 60835 3.123 * * [simplify]: Extracting #4: cost 67 inf + 182085 3.179 * * [simplify]: Extracting #5: cost 4 inf + 200783 3.242 * * [simplify]: Extracting #6: cost 0 inf + 201556 3.292 * [simplify]: Simplified to (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))), (log (cbrt (/ (+ N 1) N))), (log (sqrt (/ (+ N 1) N))), (log (sqrt (/ (+ N 1) N))), (+ (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (cbrt (+ N 1)) (cbrt N)))), (log (/ (cbrt (+ N 1)) (cbrt N))), (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))), (log (/ (cbrt (+ N 1)) (sqrt N))), (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))), (log (/ (cbrt (+ N 1)) N)), (log (/ (/ (sqrt (+ N 1)) (cbrt N)) (cbrt N))), (log (/ (sqrt (+ N 1)) (cbrt N))), (log (/ (sqrt (+ N 1)) (sqrt N))), (log (/ (sqrt (+ N 1)) (sqrt N))), (log (sqrt (+ N 1))), (log (/ (sqrt (+ N 1)) N)), (+ (- (log (cbrt N))) (- (log (cbrt N)))), (log (/ (+ N 1) (cbrt N))), (- (log (sqrt N))), (log (/ (+ N 1) (sqrt N))), 0, (log (/ (+ N 1) N)), (+ (- (log (cbrt N))) (- (log (cbrt N)))), (log (/ (+ N 1) (cbrt N))), (- (log (sqrt N))), (log (/ (+ N 1) (sqrt N))), 0, (log (/ (+ N 1) N)), 0, (log (/ (+ N 1) N)), (log (+ N 1)), (- (log N)), (log (+ N 1)), (log N), (log (/ (+ N 1) N)), (log (log (/ (+ N 1) N))), (/ (+ N 1) N), (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))), (cbrt (log (/ (+ N 1) N))), (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))), (sqrt (log (/ (+ N 1) N))), (sqrt (log (/ (+ N 1) N))), (real->posit16 (log (/ (+ N 1) N))), (log (/ (+ N 1) N)), (log (/ (+ N 1) N)), (exp (/ (+ N 1) N)), (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) N))), (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))), (cbrt (/ (+ N 1) N)), (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) N))), (sqrt (/ (+ N 1) N)), (sqrt (/ (+ N 1) N)), (- -1 N), (- N), (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N))), (/ (cbrt (+ N 1)) (cbrt N)), (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)), (/ (cbrt (+ N 1)) (sqrt N)), (* (cbrt (+ N 1)) (cbrt (+ N 1))), (/ (cbrt (+ N 1)) N), (/ (/ (sqrt (+ N 1)) (cbrt N)) (cbrt N)), (/ (sqrt (+ N 1)) (cbrt N)), (/ (sqrt (+ N 1)) (sqrt N)), (/ (sqrt (+ N 1)) (sqrt N)), (sqrt (+ N 1)), (/ (sqrt (+ N 1)) N), (/ 1 (* (cbrt N) (cbrt N))), (/ (+ N 1) (cbrt N)), (/ 1 (sqrt N)), (/ (+ N 1) (sqrt N)), 1, (/ (+ N 1) N), (/ 1 (* (cbrt N) (cbrt N))), (/ (+ N 1) (cbrt N)), (/ 1 (sqrt N)), (/ (+ N 1) (sqrt N)), 1, (/ (+ N 1) N), (/ 1 N), (/ N (+ N 1)), (/ (+ N 1) (* (cbrt N) (cbrt N))), (/ (+ N 1) (sqrt N)), (+ N 1), (/ N (cbrt (+ N 1))), (/ N (sqrt (+ N 1))), (/ N (+ N 1)), (/ N (+ N 1)), (+ N (* N (- (* N N) N))), (- N (* N N)), (real->posit16 (/ (+ N 1) N)), (- (- N (log N)) (* 1/2 (* N N))), (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* (* N N) N)))), (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* (* N N) N)))), (+ (/ 1 N) 1), (+ (/ 1 N) 1), (+ (/ 1 N) 1) 3.297 * * * [progress]: adding candidates to table 3.730 * * [progress]: iteration 3 / 4 3.731 * * * [progress]: picking best candidate 3.735 * * * * [pick]: Picked # 3.735 * * * [progress]: localizing error 3.759 * * * [progress]: generating rewritten candidates 3.759 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.827 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 3.828 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2) 3.828 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 3.830 * * * [progress]: generating series expansions 3.830 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.831 * [backup-simplify]: Simplify (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N)))) into (+ (log (* (+ N 1) (pow (/ 1 N) 1/3))) (log (pow (/ 1 (pow N 2)) 1/3))) 3.831 * [approximate]: Taking taylor expansion of (+ (log (* (+ N 1) (pow (/ 1 N) 1/3))) (log (pow (/ 1 (pow N 2)) 1/3))) in (N) around 0 3.831 * [taylor]: Taking taylor expansion of (+ (log (* (+ N 1) (pow (/ 1 N) 1/3))) (log (pow (/ 1 (pow N 2)) 1/3))) in N 3.831 * [taylor]: Taking taylor expansion of (log (* (+ N 1) (pow (/ 1 N) 1/3))) in N 3.831 * [taylor]: Taking taylor expansion of (* (+ N 1) (pow (/ 1 N) 1/3)) in N 3.831 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.831 * [taylor]: Taking taylor expansion of N in N 3.831 * [backup-simplify]: Simplify 0 into 0 3.831 * [backup-simplify]: Simplify 1 into 1 3.831 * [taylor]: Taking taylor expansion of 1 in N 3.831 * [backup-simplify]: Simplify 1 into 1 3.831 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.831 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.831 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.831 * [taylor]: Taking taylor expansion of 1/3 in N 3.831 * [backup-simplify]: Simplify 1/3 into 1/3 3.831 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.831 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.831 * [taylor]: Taking taylor expansion of N in N 3.831 * [backup-simplify]: Simplify 0 into 0 3.831 * [backup-simplify]: Simplify 1 into 1 3.831 * [backup-simplify]: Simplify (/ 1 1) into 1 3.832 * [backup-simplify]: Simplify (log 1) into 0 3.832 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.832 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.832 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.833 * [backup-simplify]: Simplify (+ 0 1) into 1 3.833 * [backup-simplify]: Simplify (* 1 (pow N -1/3)) into (pow (/ 1 N) 1/3) 3.833 * [backup-simplify]: Simplify (log (pow (/ 1 N) 1/3)) into (log (pow (/ 1 N) 1/3)) 3.833 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (pow N 2)) 1/3)) in N 3.833 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 3.833 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 3.833 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 3.833 * [taylor]: Taking taylor expansion of 1/3 in N 3.833 * [backup-simplify]: Simplify 1/3 into 1/3 3.833 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 3.833 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.833 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.833 * [taylor]: Taking taylor expansion of N in N 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify 1 into 1 3.833 * [backup-simplify]: Simplify (* 1 1) into 1 3.837 * [backup-simplify]: Simplify (/ 1 1) into 1 3.838 * [backup-simplify]: Simplify (log 1) into 0 3.838 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.838 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.838 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.838 * [backup-simplify]: Simplify (log (pow N -2/3)) into (log (pow N -2/3)) 3.838 * [taylor]: Taking taylor expansion of (+ (log (* (+ N 1) (pow (/ 1 N) 1/3))) (log (pow (/ 1 (pow N 2)) 1/3))) in N 3.838 * [taylor]: Taking taylor expansion of (log (* (+ N 1) (pow (/ 1 N) 1/3))) in N 3.838 * [taylor]: Taking taylor expansion of (* (+ N 1) (pow (/ 1 N) 1/3)) in N 3.838 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.838 * [taylor]: Taking taylor expansion of N in N 3.838 * [backup-simplify]: Simplify 0 into 0 3.838 * [backup-simplify]: Simplify 1 into 1 3.838 * [taylor]: Taking taylor expansion of 1 in N 3.838 * [backup-simplify]: Simplify 1 into 1 3.838 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.838 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.838 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.838 * [taylor]: Taking taylor expansion of 1/3 in N 3.838 * [backup-simplify]: Simplify 1/3 into 1/3 3.838 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.838 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.838 * [taylor]: Taking taylor expansion of N in N 3.838 * [backup-simplify]: Simplify 0 into 0 3.838 * [backup-simplify]: Simplify 1 into 1 3.839 * [backup-simplify]: Simplify (/ 1 1) into 1 3.839 * [backup-simplify]: Simplify (log 1) into 0 3.839 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.839 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.839 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.840 * [backup-simplify]: Simplify (+ 0 1) into 1 3.840 * [backup-simplify]: Simplify (* 1 (pow N -1/3)) into (pow (/ 1 N) 1/3) 3.840 * [backup-simplify]: Simplify (log (pow (/ 1 N) 1/3)) into (log (pow (/ 1 N) 1/3)) 3.840 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (pow N 2)) 1/3)) in N 3.840 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 3.840 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 3.840 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 3.840 * [taylor]: Taking taylor expansion of 1/3 in N 3.840 * [backup-simplify]: Simplify 1/3 into 1/3 3.840 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 3.840 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.840 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.840 * [taylor]: Taking taylor expansion of N in N 3.840 * [backup-simplify]: Simplify 0 into 0 3.840 * [backup-simplify]: Simplify 1 into 1 3.840 * [backup-simplify]: Simplify (* 1 1) into 1 3.840 * [backup-simplify]: Simplify (/ 1 1) into 1 3.841 * [backup-simplify]: Simplify (log 1) into 0 3.841 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.841 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.841 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.841 * [backup-simplify]: Simplify (log (pow N -2/3)) into (log (pow N -2/3)) 3.841 * [backup-simplify]: Simplify (+ (log (pow (/ 1 N) 1/3)) (log (pow N -2/3))) into (+ (log (pow N -2/3)) (log (pow (/ 1 N) 1/3))) 3.841 * [backup-simplify]: Simplify (+ (log (pow N -2/3)) (log (pow (/ 1 N) 1/3))) into (+ (log (pow N -2/3)) (log (pow (/ 1 N) 1/3))) 3.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.843 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.843 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.844 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.844 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.844 * [backup-simplify]: Simplify (+ 1 0) into 1 3.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 1 (pow N -1/3))) into (pow (/ 1 N) 1/3) 3.845 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (pow (/ 1 N) 1/3)) 1)) (pow (pow (/ 1 N) 1/3) 1)))) 1) into 1 3.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.847 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.847 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.847 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 3.848 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.848 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow N -2/3) 1)))) 1) into 0 3.848 * [backup-simplify]: Simplify (+ 1 0) into 1 3.848 * [backup-simplify]: Simplify 1 into 1 3.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.851 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.851 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.851 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.852 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.852 * [backup-simplify]: Simplify (+ 0 0) into 0 3.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 (pow N -1/3)))) into 0 3.854 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (pow (/ 1 N) 1/3)) 2)) (pow (pow (/ 1 N) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (/ 1 N) 1/3) 1)))) 2) into -1/2 3.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.856 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.857 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.857 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 3.858 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.859 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow N -2/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow N -2/3) 1)))) 2) into 0 3.859 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.859 * [backup-simplify]: Simplify -1/2 into -1/2 3.860 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (+ (log (pow N -2/3)) (log (pow (/ 1 N) 1/3))))) into (- (+ N (+ (log (pow N -2/3)) (log (pow (/ 1 N) 1/3)))) (* 1/2 (pow N 2))) 3.860 * [backup-simplify]: Simplify (+ (log (/ 1 (* (cbrt (/ 1 N)) (cbrt (/ 1 N))))) (log (/ (+ 1 (/ 1 N)) (cbrt (/ 1 N))))) into (+ (log (* (pow N 1/3) (+ (/ 1 N) 1))) (log (pow (pow N 2) 1/3))) 3.860 * [approximate]: Taking taylor expansion of (+ (log (* (pow N 1/3) (+ (/ 1 N) 1))) (log (pow (pow N 2) 1/3))) in (N) around 0 3.860 * [taylor]: Taking taylor expansion of (+ (log (* (pow N 1/3) (+ (/ 1 N) 1))) (log (pow (pow N 2) 1/3))) in N 3.860 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (+ (/ 1 N) 1))) in N 3.860 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (+ (/ 1 N) 1)) in N 3.860 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.860 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.860 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.860 * [taylor]: Taking taylor expansion of 1/3 in N 3.860 * [backup-simplify]: Simplify 1/3 into 1/3 3.860 * [taylor]: Taking taylor expansion of (log N) in N 3.860 * [taylor]: Taking taylor expansion of N in N 3.860 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify 1 into 1 3.860 * [backup-simplify]: Simplify (log 1) into 0 3.861 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.861 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.861 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.861 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.861 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.861 * [taylor]: Taking taylor expansion of N in N 3.861 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify 1 into 1 3.862 * [backup-simplify]: Simplify (/ 1 1) into 1 3.862 * [taylor]: Taking taylor expansion of 1 in N 3.862 * [backup-simplify]: Simplify 1 into 1 3.862 * [backup-simplify]: Simplify (+ 1 0) into 1 3.862 * [backup-simplify]: Simplify (* (pow N 1/3) 1) into (pow N 1/3) 3.862 * [backup-simplify]: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) 3.862 * [taylor]: Taking taylor expansion of (log (pow (pow N 2) 1/3)) in N 3.862 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 3.862 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 3.862 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 3.862 * [taylor]: Taking taylor expansion of 1/3 in N 3.862 * [backup-simplify]: Simplify 1/3 into 1/3 3.862 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 3.862 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.862 * [taylor]: Taking taylor expansion of N in N 3.862 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify 1 into 1 3.863 * [backup-simplify]: Simplify (* 1 1) into 1 3.863 * [backup-simplify]: Simplify (log 1) into 0 3.864 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.864 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 3.864 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 3.864 * [backup-simplify]: Simplify (log (pow N 2/3)) into (log (pow N 2/3)) 3.864 * [taylor]: Taking taylor expansion of (+ (log (* (pow N 1/3) (+ (/ 1 N) 1))) (log (pow (pow N 2) 1/3))) in N 3.864 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (+ (/ 1 N) 1))) in N 3.864 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (+ (/ 1 N) 1)) in N 3.864 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.864 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.864 * [taylor]: Taking taylor expansion of 1/3 in N 3.864 * [backup-simplify]: Simplify 1/3 into 1/3 3.864 * [taylor]: Taking taylor expansion of (log N) in N 3.864 * [taylor]: Taking taylor expansion of N in N 3.864 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify 1 into 1 3.864 * [backup-simplify]: Simplify (log 1) into 0 3.865 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.865 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.865 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.865 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.865 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.865 * [taylor]: Taking taylor expansion of N in N 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify 1 into 1 3.866 * [backup-simplify]: Simplify (/ 1 1) into 1 3.866 * [taylor]: Taking taylor expansion of 1 in N 3.866 * [backup-simplify]: Simplify 1 into 1 3.866 * [backup-simplify]: Simplify (+ 1 0) into 1 3.866 * [backup-simplify]: Simplify (* (pow N 1/3) 1) into (pow N 1/3) 3.866 * [backup-simplify]: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) 3.866 * [taylor]: Taking taylor expansion of (log (pow (pow N 2) 1/3)) in N 3.866 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 3.866 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 3.866 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 3.866 * [taylor]: Taking taylor expansion of 1/3 in N 3.866 * [backup-simplify]: Simplify 1/3 into 1/3 3.866 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 3.866 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.866 * [taylor]: Taking taylor expansion of N in N 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 1 into 1 3.867 * [backup-simplify]: Simplify (* 1 1) into 1 3.867 * [backup-simplify]: Simplify (log 1) into 0 3.868 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.868 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 3.868 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 3.868 * [backup-simplify]: Simplify (log (pow N 2/3)) into (log (pow N 2/3)) 3.868 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (pow N 1/3))) into (- (log (pow N 1/3)) (log N)) 3.869 * [backup-simplify]: Simplify (+ (- (log (pow N 1/3)) (log N)) (log (pow N 2/3))) into (- (+ (log (pow N 1/3)) (log (pow N 2/3))) (log N)) 3.870 * [backup-simplify]: Simplify (- (+ (log (pow N 1/3)) (log (pow N 2/3))) (log N)) into (- (+ (log (pow N 1/3)) (log (pow N 2/3))) (log N)) 3.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.872 * [backup-simplify]: Simplify (+ 0 1) into 1 3.873 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.874 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.874 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 3.875 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.875 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 1) (* 0 1)) into (pow N 1/3) 3.876 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (pow N 1/3)) 1)) (pow (pow N 1/3) 1)))) 1) into 1 3.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.878 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.878 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.878 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 3.879 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.880 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow N 2/3) 1)))) 1) into 0 3.880 * [backup-simplify]: Simplify (+ 1 0) into 1 3.880 * [backup-simplify]: Simplify 1 into 1 3.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.882 * [backup-simplify]: Simplify (+ 0 0) into 0 3.884 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.885 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.886 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 3.887 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.887 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 1) (* 0 1))) into 0 3.888 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (pow N 1/3)) 2)) (pow (pow N 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow N 1/3) 1)))) 2) into -1/2 3.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.892 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.893 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.893 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 3.895 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.896 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow N 2/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow N 2/3) 1)))) 2) into 0 3.897 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.897 * [backup-simplify]: Simplify -1/2 into -1/2 3.897 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (+ (log (pow (/ 1 N) 1/3)) (log (pow (/ 1 N) 2/3))) (log (/ 1 N))))) into (- (+ (log (pow (/ 1 N) 1/3)) (+ (log (pow (/ 1 N) 2/3)) (/ 1 N))) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 3.898 * [backup-simplify]: Simplify (+ (log (/ 1 (* (cbrt (/ 1 (- N))) (cbrt (/ 1 (- N)))))) (log (/ (+ 1 (/ 1 (- N))) (cbrt (/ 1 (- N)))))) into (+ (log (* (pow N 1/3) (/ (- 1 (/ 1 N)) (cbrt -1)))) (log (* (pow (pow N 2) 1/3) (/ 1 (pow (cbrt -1) 2))))) 3.898 * [approximate]: Taking taylor expansion of (+ (log (* (pow N 1/3) (/ (- 1 (/ 1 N)) (cbrt -1)))) (log (* (pow (pow N 2) 1/3) (/ 1 (pow (cbrt -1) 2))))) in (N) around 0 3.898 * [taylor]: Taking taylor expansion of (+ (log (* (pow N 1/3) (/ (- 1 (/ 1 N)) (cbrt -1)))) (log (* (pow (pow N 2) 1/3) (/ 1 (pow (cbrt -1) 2))))) in N 3.898 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (/ (- 1 (/ 1 N)) (cbrt -1)))) in N 3.898 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (/ (- 1 (/ 1 N)) (cbrt -1))) in N 3.898 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.898 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.898 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.898 * [taylor]: Taking taylor expansion of 1/3 in N 3.898 * [backup-simplify]: Simplify 1/3 into 1/3 3.898 * [taylor]: Taking taylor expansion of (log N) in N 3.898 * [taylor]: Taking taylor expansion of N in N 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify 1 into 1 3.899 * [backup-simplify]: Simplify (log 1) into 0 3.899 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.899 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.899 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.899 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (cbrt -1)) in N 3.899 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.899 * [taylor]: Taking taylor expansion of 1 in N 3.899 * [backup-simplify]: Simplify 1 into 1 3.899 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.899 * [taylor]: Taking taylor expansion of N in N 3.900 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify 1 into 1 3.900 * [backup-simplify]: Simplify (/ 1 1) into 1 3.900 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.900 * [taylor]: Taking taylor expansion of -1 in N 3.900 * [backup-simplify]: Simplify -1 into -1 3.901 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.901 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.902 * [backup-simplify]: Simplify (- 1) into -1 3.902 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.903 * [backup-simplify]: Simplify (/ -1 (cbrt -1)) into (/ -1 (cbrt -1)) 3.904 * [backup-simplify]: Simplify (* (pow N 1/3) (/ -1 (cbrt -1))) into (* -1 (* (pow N 1/3) (/ 1 (cbrt -1)))) 3.905 * [backup-simplify]: Simplify (log (* -1 (* (pow N 1/3) (/ 1 (cbrt -1))))) into (log (* -1 (* (pow N 1/3) (/ 1 (cbrt -1))))) 3.905 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/3) (/ 1 (pow (cbrt -1) 2)))) in N 3.905 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (/ 1 (pow (cbrt -1) 2))) in N 3.905 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 3.905 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 3.905 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 3.905 * [taylor]: Taking taylor expansion of 1/3 in N 3.905 * [backup-simplify]: Simplify 1/3 into 1/3 3.905 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 3.905 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.905 * [taylor]: Taking taylor expansion of N in N 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 1 into 1 3.906 * [backup-simplify]: Simplify (* 1 1) into 1 3.906 * [backup-simplify]: Simplify (log 1) into 0 3.906 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.907 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 3.907 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 3.907 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 3.907 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 3.907 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.907 * [taylor]: Taking taylor expansion of -1 in N 3.907 * [backup-simplify]: Simplify -1 into -1 3.907 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.908 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.909 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 3.911 * [backup-simplify]: Simplify (/ 1 (pow (cbrt -1) 2)) into (/ 1 (pow (cbrt -1) 2)) 3.913 * [backup-simplify]: Simplify (* (pow N 2/3) (/ 1 (pow (cbrt -1) 2))) into (* (pow (pow N 2) 1/3) (/ 1 (pow (cbrt -1) 2))) 3.915 * [backup-simplify]: Simplify (log (* (pow (pow N 2) 1/3) (/ 1 (pow (cbrt -1) 2)))) into (log (* (pow (pow N 2) 1/3) (/ 1 (pow (cbrt -1) 2)))) 3.915 * [taylor]: Taking taylor expansion of (+ (log (* (pow N 1/3) (/ (- 1 (/ 1 N)) (cbrt -1)))) (log (* (pow (pow N 2) 1/3) (/ 1 (pow (cbrt -1) 2))))) in N 3.915 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (/ (- 1 (/ 1 N)) (cbrt -1)))) in N 3.915 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (/ (- 1 (/ 1 N)) (cbrt -1))) in N 3.915 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.915 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.915 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.915 * [taylor]: Taking taylor expansion of 1/3 in N 3.915 * [backup-simplify]: Simplify 1/3 into 1/3 3.915 * [taylor]: Taking taylor expansion of (log N) in N 3.915 * [taylor]: Taking taylor expansion of N in N 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify 1 into 1 3.915 * [backup-simplify]: Simplify (log 1) into 0 3.916 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.916 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.916 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.916 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (cbrt -1)) in N 3.916 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.916 * [taylor]: Taking taylor expansion of 1 in N 3.916 * [backup-simplify]: Simplify 1 into 1 3.916 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.916 * [taylor]: Taking taylor expansion of N in N 3.916 * [backup-simplify]: Simplify 0 into 0 3.916 * [backup-simplify]: Simplify 1 into 1 3.916 * [backup-simplify]: Simplify (/ 1 1) into 1 3.916 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.916 * [taylor]: Taking taylor expansion of -1 in N 3.916 * [backup-simplify]: Simplify -1 into -1 3.917 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.918 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.918 * [backup-simplify]: Simplify (- 1) into -1 3.918 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.919 * [backup-simplify]: Simplify (/ -1 (cbrt -1)) into (/ -1 (cbrt -1)) 3.920 * [backup-simplify]: Simplify (* (pow N 1/3) (/ -1 (cbrt -1))) into (* -1 (* (pow N 1/3) (/ 1 (cbrt -1)))) 3.921 * [backup-simplify]: Simplify (log (* -1 (* (pow N 1/3) (/ 1 (cbrt -1))))) into (log (* -1 (* (pow N 1/3) (/ 1 (cbrt -1))))) 3.921 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/3) (/ 1 (pow (cbrt -1) 2)))) in N 3.921 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (/ 1 (pow (cbrt -1) 2))) in N 3.921 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 3.921 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 3.921 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 3.921 * [taylor]: Taking taylor expansion of 1/3 in N 3.921 * [backup-simplify]: Simplify 1/3 into 1/3 3.921 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 3.921 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.921 * [taylor]: Taking taylor expansion of N in N 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify 1 into 1 3.922 * [backup-simplify]: Simplify (* 1 1) into 1 3.922 * [backup-simplify]: Simplify (log 1) into 0 3.922 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.922 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 3.923 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 3.923 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 3.923 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 3.923 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.923 * [taylor]: Taking taylor expansion of -1 in N 3.923 * [backup-simplify]: Simplify -1 into -1 3.923 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.924 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.925 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 3.927 * [backup-simplify]: Simplify (/ 1 (pow (cbrt -1) 2)) into (/ 1 (pow (cbrt -1) 2)) 3.929 * [backup-simplify]: Simplify (* (pow N 2/3) (/ 1 (pow (cbrt -1) 2))) into (* (pow (pow N 2) 1/3) (/ 1 (pow (cbrt -1) 2))) 3.931 * [backup-simplify]: Simplify (log (* (pow (pow N 2) 1/3) (/ 1 (pow (cbrt -1) 2)))) into (log (* (pow (pow N 2) 1/3) (/ 1 (pow (cbrt -1) 2)))) 3.932 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (* -1 (* (pow N 1/3) (/ 1 (cbrt -1)))))) into (- (log (* -1 (* (pow N 1/3) (/ 1 (cbrt -1))))) (log N)) 3.935 * [backup-simplify]: Simplify (+ (- (log (* -1 (* (pow N 1/3) (/ 1 (cbrt -1))))) (log N)) (log (* (pow (pow N 2) 1/3) (/ 1 (pow (cbrt -1) 2))))) into (- (+ (log (* -1 (* (pow N 1/3) (/ 1 (cbrt -1))))) (log (* (pow (pow N 2) 1/3) (/ 1 (pow (cbrt -1) 2))))) (log N)) 3.938 * [backup-simplify]: Simplify (- (+ (log (* -1 (* (pow N 1/3) (/ 1 (cbrt -1))))) (log (* (pow (pow N 2) 1/3) (/ 1 (pow (cbrt -1) 2))))) (log N)) into (- (+ (log (* -1 (* (pow N 1/3) (/ 1 (cbrt -1))))) (log (* (pow (pow N 2) 1/3) (/ 1 (pow (cbrt -1) 2))))) (log N)) 3.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.939 * [backup-simplify]: Simplify (- 0) into 0 3.939 * [backup-simplify]: Simplify (+ 1 0) into 1 3.942 * [backup-simplify]: Simplify (- (/ 1 (cbrt -1)) (+ (* (/ -1 (cbrt -1)) (/ 0 (cbrt -1))))) into (/ 1 (cbrt -1)) 3.944 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.944 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.944 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 3.945 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.947 * [backup-simplify]: Simplify (+ (* (pow N 1/3) (/ 1 (cbrt -1))) (* 0 (/ -1 (cbrt -1)))) into (* (pow N 1/3) (/ 1 (cbrt -1))) 3.949 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* (pow N 1/3) (/ 1 (cbrt -1)))) 1)) (pow (* -1 (* (pow N 1/3) (/ 1 (cbrt -1)))) 1)))) 1) into -1 3.950 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 3.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cbrt -1) 2)) (/ 0 (pow (cbrt -1) 2))))) into 0 3.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.953 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.954 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.954 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 3.955 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.956 * [backup-simplify]: Simplify (+ (* (pow N 2/3) 0) (* 0 (/ 1 (pow (cbrt -1) 2)))) into 0 3.958 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (pow (pow N 2) 1/3) (/ 1 (pow (cbrt -1) 2))) 1)))) 1) into 0 3.959 * [backup-simplify]: Simplify (+ -1 0) into -1 3.959 * [backup-simplify]: Simplify -1 into -1 3.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.960 * [backup-simplify]: Simplify (- 0) into 0 3.960 * [backup-simplify]: Simplify (+ 0 0) into 0 3.965 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.966 * [backup-simplify]: Simplify (- (/ 0 (cbrt -1)) (+ (* (/ -1 (cbrt -1)) (/ 0 (cbrt -1))) (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 3.969 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.969 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.970 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 3.971 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.972 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 (/ 1 (cbrt -1))) (* 0 (/ -1 (cbrt -1))))) into 0 3.976 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* (pow N 1/3) (/ 1 (cbrt -1)))) 2)) (pow (* -1 (* (pow N 1/3) (/ 1 (cbrt -1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (* (pow N 1/3) (/ 1 (cbrt -1)))) 1)))) 2) into -1/2 3.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.979 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cbrt -1) 2)) (/ 0 (pow (cbrt -1) 2))) (* 0 (/ 0 (pow (cbrt -1) 2))))) into 0 3.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.984 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.984 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.985 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 3.986 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.988 * [backup-simplify]: Simplify (+ (* (pow N 2/3) 0) (+ (* 0 0) (* 0 (/ 1 (pow (cbrt -1) 2))))) into 0 3.992 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (pow (pow N 2) 1/3) (/ 1 (pow (cbrt -1) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (pow (pow N 2) 1/3) (/ 1 (pow (cbrt -1) 2))) 1)))) 2) into 0 3.993 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.993 * [backup-simplify]: Simplify -1/2 into -1/2 3.996 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (+ (log (* -1 (* (pow (/ 1 (- N)) 1/3) (/ 1 (cbrt -1))))) (log (* (pow (pow (/ 1 (- N)) 2) 1/3) (/ 1 (pow (cbrt -1) 2))))) (log (/ 1 (- N)))))) into (- (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (pow (cbrt -1) 2)))) (+ (/ 1 N) (log (* -1 (* (pow (/ -1 N) 1/3) (/ 1 (cbrt -1))))))) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 3.996 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 3.996 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 3.996 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 3.996 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.996 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.996 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.996 * [taylor]: Taking taylor expansion of 1/3 in N 3.996 * [backup-simplify]: Simplify 1/3 into 1/3 3.996 * [taylor]: Taking taylor expansion of (log N) in N 3.996 * [taylor]: Taking taylor expansion of N in N 3.996 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify 1 into 1 3.997 * [backup-simplify]: Simplify (log 1) into 0 3.997 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.997 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.997 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.997 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.997 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.997 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.997 * [taylor]: Taking taylor expansion of 1/3 in N 3.997 * [backup-simplify]: Simplify 1/3 into 1/3 3.997 * [taylor]: Taking taylor expansion of (log N) in N 3.997 * [taylor]: Taking taylor expansion of N in N 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 1 into 1 3.998 * [backup-simplify]: Simplify (log 1) into 0 3.998 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.998 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.998 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.998 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 4.000 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.000 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.000 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 4.001 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.001 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.004 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.005 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 4.005 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.005 * [backup-simplify]: Simplify 0 into 0 4.008 * [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 4.009 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.009 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 4.010 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.010 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.017 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.017 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 4.019 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.019 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.033 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.035 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 4.039 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.039 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.071 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.074 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 4.080 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 4.080 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 4.080 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 4.080 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.080 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.080 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.080 * [taylor]: Taking taylor expansion of 1/3 in N 4.080 * [backup-simplify]: Simplify 1/3 into 1/3 4.080 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.080 * [taylor]: Taking taylor expansion of N in N 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 1 into 1 4.081 * [backup-simplify]: Simplify (/ 1 1) into 1 4.081 * [backup-simplify]: Simplify (log 1) into 0 4.082 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.082 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.082 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.082 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.082 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.082 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.082 * [taylor]: Taking taylor expansion of 1/3 in N 4.082 * [backup-simplify]: Simplify 1/3 into 1/3 4.082 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.082 * [taylor]: Taking taylor expansion of N in N 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 1 into 1 4.083 * [backup-simplify]: Simplify (/ 1 1) into 1 4.083 * [backup-simplify]: Simplify (log 1) into 0 4.083 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.084 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.084 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.084 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 4.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.086 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.087 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 4.088 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.095 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.095 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.096 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 4.098 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.098 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.104 * [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 4.105 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.106 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 4.108 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.108 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.120 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.120 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.122 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 4.125 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.125 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.144 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.145 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.147 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 4.152 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.152 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.176 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.177 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.178 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 4.182 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.182 * [backup-simplify]: Simplify 0 into 0 4.182 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 4.182 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.182 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 4.182 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 4.182 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.182 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.182 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.182 * [taylor]: Taking taylor expansion of 1/3 in N 4.182 * [backup-simplify]: Simplify 1/3 into 1/3 4.182 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.182 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.182 * [taylor]: Taking taylor expansion of N in N 4.182 * [backup-simplify]: Simplify 0 into 0 4.182 * [backup-simplify]: Simplify 1 into 1 4.182 * [backup-simplify]: Simplify (/ 1 1) into 1 4.183 * [backup-simplify]: Simplify (log 1) into 0 4.183 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.183 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.183 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.183 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.183 * [taylor]: Taking taylor expansion of -1 in N 4.183 * [backup-simplify]: Simplify -1 into -1 4.183 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.184 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.184 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 4.184 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.184 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.184 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.184 * [taylor]: Taking taylor expansion of 1/3 in N 4.184 * [backup-simplify]: Simplify 1/3 into 1/3 4.184 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.184 * [taylor]: Taking taylor expansion of N in N 4.184 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify 1 into 1 4.184 * [backup-simplify]: Simplify (/ 1 1) into 1 4.185 * [backup-simplify]: Simplify (log 1) into 0 4.185 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.185 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.185 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.185 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.185 * [taylor]: Taking taylor expansion of -1 in N 4.185 * [backup-simplify]: Simplify -1 into -1 4.185 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.186 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.186 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.187 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.188 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.188 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 4.189 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.189 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 4.189 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.192 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.193 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.193 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 4.194 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.195 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.195 * [backup-simplify]: Simplify 0 into 0 4.196 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.202 * [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 4.202 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.203 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 4.205 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.206 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 4.206 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.223 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.224 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.225 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 4.226 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.227 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 4.227 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.238 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.238 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.239 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 4.241 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.242 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 4.242 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.266 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.267 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.269 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 4.275 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.277 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 4.277 * [backup-simplify]: Simplify 0 into 0 4.278 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 4.278 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2) 4.278 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 4.278 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 4.278 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 4.278 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 4.278 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 4.278 * [taylor]: Taking taylor expansion of 1/3 in N 4.278 * [backup-simplify]: Simplify 1/3 into 1/3 4.278 * [taylor]: Taking taylor expansion of (log N) in N 4.278 * [taylor]: Taking taylor expansion of N in N 4.278 * [backup-simplify]: Simplify 0 into 0 4.278 * [backup-simplify]: Simplify 1 into 1 4.279 * [backup-simplify]: Simplify (log 1) into 0 4.279 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.279 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.279 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.279 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 4.279 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 4.279 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 4.279 * [taylor]: Taking taylor expansion of 1/3 in N 4.280 * [backup-simplify]: Simplify 1/3 into 1/3 4.280 * [taylor]: Taking taylor expansion of (log N) in N 4.280 * [taylor]: Taking taylor expansion of N in N 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify 1 into 1 4.280 * [backup-simplify]: Simplify (log 1) into 0 4.280 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.281 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.281 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.281 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 4.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.283 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.284 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 4.285 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.285 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.290 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.291 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 4.293 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.293 * [backup-simplify]: Simplify 0 into 0 4.299 * [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 4.300 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.301 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 4.303 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.303 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.315 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.316 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 4.318 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.318 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.328 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.329 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 4.331 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.332 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.352 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.354 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 4.360 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 4.360 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 4.360 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 4.360 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.360 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.360 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.360 * [taylor]: Taking taylor expansion of 1/3 in N 4.360 * [backup-simplify]: Simplify 1/3 into 1/3 4.360 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.360 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.360 * [taylor]: Taking taylor expansion of N in N 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify 1 into 1 4.361 * [backup-simplify]: Simplify (/ 1 1) into 1 4.361 * [backup-simplify]: Simplify (log 1) into 0 4.361 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.361 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.361 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.361 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.362 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.362 * [taylor]: Taking taylor expansion of 1/3 in N 4.362 * [backup-simplify]: Simplify 1/3 into 1/3 4.362 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.362 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.362 * [taylor]: Taking taylor expansion of N in N 4.362 * [backup-simplify]: Simplify 0 into 0 4.362 * [backup-simplify]: Simplify 1 into 1 4.362 * [backup-simplify]: Simplify (/ 1 1) into 1 4.362 * [backup-simplify]: Simplify (log 1) into 0 4.363 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.363 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.363 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.363 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 4.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.365 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.366 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.366 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 4.367 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.367 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.371 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.372 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.373 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 4.374 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.374 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.380 * [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 4.381 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.382 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 4.383 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.389 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.390 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.391 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 4.392 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.392 * [backup-simplify]: Simplify 0 into 0 4.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.403 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.404 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.405 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 4.407 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.407 * [backup-simplify]: Simplify 0 into 0 4.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.425 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.426 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.428 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 4.434 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.435 * [backup-simplify]: Simplify 0 into 0 4.435 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 4.437 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.437 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 4.437 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 4.437 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.437 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.437 * [taylor]: Taking taylor expansion of 1/3 in N 4.437 * [backup-simplify]: Simplify 1/3 into 1/3 4.437 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.437 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.437 * [taylor]: Taking taylor expansion of N in N 4.437 * [backup-simplify]: Simplify 0 into 0 4.437 * [backup-simplify]: Simplify 1 into 1 4.438 * [backup-simplify]: Simplify (/ 1 1) into 1 4.438 * [backup-simplify]: Simplify (log 1) into 0 4.439 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.439 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.439 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.439 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.439 * [taylor]: Taking taylor expansion of -1 in N 4.439 * [backup-simplify]: Simplify -1 into -1 4.439 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.440 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.440 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 4.440 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.440 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.440 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.440 * [taylor]: Taking taylor expansion of 1/3 in N 4.440 * [backup-simplify]: Simplify 1/3 into 1/3 4.440 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.440 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.440 * [taylor]: Taking taylor expansion of N in N 4.441 * [backup-simplify]: Simplify 0 into 0 4.441 * [backup-simplify]: Simplify 1 into 1 4.441 * [backup-simplify]: Simplify (/ 1 1) into 1 4.441 * [backup-simplify]: Simplify (log 1) into 0 4.442 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.442 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.442 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.442 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.442 * [taylor]: Taking taylor expansion of -1 in N 4.442 * [backup-simplify]: Simplify -1 into -1 4.442 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.443 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.444 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.444 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.447 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.447 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.448 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 4.449 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.449 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 4.449 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.454 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.454 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.454 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 4.455 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.456 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.456 * [backup-simplify]: Simplify 0 into 0 4.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.460 * [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 4.460 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.461 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 4.462 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.463 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 4.463 * [backup-simplify]: Simplify 0 into 0 4.464 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.470 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.470 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.471 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 4.473 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.474 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 4.474 * [backup-simplify]: Simplify 0 into 0 4.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.485 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.486 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.488 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 4.492 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.493 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 4.493 * [backup-simplify]: Simplify 0 into 0 4.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.527 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.528 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.529 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 4.532 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.534 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 4.534 * [backup-simplify]: Simplify 0 into 0 4.534 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 4.534 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 4.534 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 4.534 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 4.534 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 4.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 4.534 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 4.534 * [taylor]: Taking taylor expansion of 1/3 in N 4.534 * [backup-simplify]: Simplify 1/3 into 1/3 4.534 * [taylor]: Taking taylor expansion of (log N) in N 4.534 * [taylor]: Taking taylor expansion of N in N 4.534 * [backup-simplify]: Simplify 0 into 0 4.534 * [backup-simplify]: Simplify 1 into 1 4.534 * [backup-simplify]: Simplify (log 1) into 0 4.535 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.535 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.535 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.535 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 4.535 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 4.535 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 4.535 * [taylor]: Taking taylor expansion of 1/3 in N 4.535 * [backup-simplify]: Simplify 1/3 into 1/3 4.535 * [taylor]: Taking taylor expansion of (log N) in N 4.535 * [taylor]: Taking taylor expansion of N in N 4.535 * [backup-simplify]: Simplify 0 into 0 4.535 * [backup-simplify]: Simplify 1 into 1 4.535 * [backup-simplify]: Simplify (log 1) into 0 4.535 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.536 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.536 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.536 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 4.536 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.537 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.537 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 4.538 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.538 * [backup-simplify]: Simplify 0 into 0 4.539 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.540 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.540 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 4.541 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.541 * [backup-simplify]: Simplify 0 into 0 4.544 * [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 4.544 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.547 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 4.548 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.548 * [backup-simplify]: Simplify 0 into 0 4.553 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.554 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.555 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 4.556 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.556 * [backup-simplify]: Simplify 0 into 0 4.575 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.575 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.577 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 4.582 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.582 * [backup-simplify]: Simplify 0 into 0 4.613 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.614 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.617 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 4.624 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.624 * [backup-simplify]: Simplify 0 into 0 4.624 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 4.624 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 4.624 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 4.624 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.624 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.624 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.624 * [taylor]: Taking taylor expansion of 1/3 in N 4.624 * [backup-simplify]: Simplify 1/3 into 1/3 4.624 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.624 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.624 * [taylor]: Taking taylor expansion of N in N 4.624 * [backup-simplify]: Simplify 0 into 0 4.625 * [backup-simplify]: Simplify 1 into 1 4.625 * [backup-simplify]: Simplify (/ 1 1) into 1 4.625 * [backup-simplify]: Simplify (log 1) into 0 4.626 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.626 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.626 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.626 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.626 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.626 * [taylor]: Taking taylor expansion of 1/3 in N 4.626 * [backup-simplify]: Simplify 1/3 into 1/3 4.626 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.626 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.626 * [taylor]: Taking taylor expansion of N in N 4.626 * [backup-simplify]: Simplify 0 into 0 4.626 * [backup-simplify]: Simplify 1 into 1 4.627 * [backup-simplify]: Simplify (/ 1 1) into 1 4.627 * [backup-simplify]: Simplify (log 1) into 0 4.627 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.628 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.628 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.628 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 4.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.630 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.630 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.631 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 4.632 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.632 * [backup-simplify]: Simplify 0 into 0 4.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.636 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.636 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.637 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 4.638 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.638 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.641 * [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 4.641 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.642 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 4.643 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.643 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.650 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.650 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.651 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 4.652 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.653 * [backup-simplify]: Simplify 0 into 0 4.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.664 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.665 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.666 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 4.668 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.668 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.702 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.703 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.705 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 4.711 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 4.712 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.712 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 4.712 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 4.712 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.712 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.712 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.712 * [taylor]: Taking taylor expansion of 1/3 in N 4.712 * [backup-simplify]: Simplify 1/3 into 1/3 4.712 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.712 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.712 * [taylor]: Taking taylor expansion of N in N 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify 1 into 1 4.713 * [backup-simplify]: Simplify (/ 1 1) into 1 4.713 * [backup-simplify]: Simplify (log 1) into 0 4.714 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.714 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.714 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.714 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.714 * [taylor]: Taking taylor expansion of -1 in N 4.714 * [backup-simplify]: Simplify -1 into -1 4.715 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.716 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.716 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 4.716 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.716 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.716 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.716 * [taylor]: Taking taylor expansion of 1/3 in N 4.716 * [backup-simplify]: Simplify 1/3 into 1/3 4.716 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.716 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.716 * [taylor]: Taking taylor expansion of N in N 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify 1 into 1 4.716 * [backup-simplify]: Simplify (/ 1 1) into 1 4.717 * [backup-simplify]: Simplify (log 1) into 0 4.717 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.717 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.717 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.717 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.717 * [taylor]: Taking taylor expansion of -1 in N 4.717 * [backup-simplify]: Simplify -1 into -1 4.718 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.719 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.719 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.720 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.722 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.722 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.723 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 4.724 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.724 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 4.724 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.729 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.729 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.730 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 4.731 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.731 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.731 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.735 * [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 4.736 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.737 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 4.738 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.738 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 4.738 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.746 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.746 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.747 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 4.749 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.749 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 4.749 * [backup-simplify]: Simplify 0 into 0 4.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.760 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.761 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.762 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 4.764 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.765 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 4.765 * [backup-simplify]: Simplify 0 into 0 4.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.786 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.787 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.789 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 4.793 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.794 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 4.794 * [backup-simplify]: Simplify 0 into 0 4.795 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 4.795 * * * [progress]: simplifying candidates 4.795 * * * * [progress]: [ 1 / 101 ] simplifiying candidate # 4.795 * * * * [progress]: [ 2 / 101 ] simplifiying candidate # 4.795 * * * * [progress]: [ 3 / 101 ] simplifiying candidate # 4.795 * * * * [progress]: [ 4 / 101 ] simplifiying candidate # 4.795 * * * * [progress]: [ 5 / 101 ] simplifiying candidate # 4.795 * * * * [progress]: [ 6 / 101 ] simplifiying candidate # 4.795 * * * * [progress]: [ 7 / 101 ] simplifiying candidate # 4.795 * * * * [progress]: [ 8 / 101 ] simplifiying candidate # 4.795 * * * * [progress]: [ 9 / 101 ] simplifiying candidate # 4.795 * * * * [progress]: [ 10 / 101 ] simplifiying candidate # 4.795 * * * * [progress]: [ 11 / 101 ] simplifiying candidate # 4.795 * * * * [progress]: [ 12 / 101 ] simplifiying candidate # 4.795 * * * * [progress]: [ 13 / 101 ] simplifiying candidate # 4.795 * * * * [progress]: [ 14 / 101 ] simplifiying candidate # 4.796 * * * * [progress]: [ 15 / 101 ] simplifiying candidate # 4.796 * * * * [progress]: [ 16 / 101 ] simplifiying candidate # 4.796 * * * * [progress]: [ 17 / 101 ] simplifiying candidate # 4.796 * * * * [progress]: [ 18 / 101 ] simplifiying candidate # 4.796 * * * * [progress]: [ 19 / 101 ] simplifiying candidate # 4.796 * * * * [progress]: [ 20 / 101 ] simplifiying candidate # 4.796 * * * * [progress]: [ 21 / 101 ] simplifiying candidate # 4.796 * * * * [progress]: [ 22 / 101 ] simplifiying candidate # 4.796 * * * * [progress]: [ 23 / 101 ] simplifiying candidate # 4.796 * * * * [progress]: [ 24 / 101 ] simplifiying candidate # 4.796 * * * * [progress]: [ 25 / 101 ] simplifiying candidate # 4.796 * * * * [progress]: [ 26 / 101 ] simplifiying candidate # 4.796 * * * * [progress]: [ 27 / 101 ] simplifiying candidate # 4.796 * * * * [progress]: [ 28 / 101 ] simplifiying candidate # 4.796 * * * * [progress]: [ 29 / 101 ] simplifiying candidate # 4.796 * * * * [progress]: [ 30 / 101 ] simplifiying candidate # 4.796 * * * * [progress]: [ 31 / 101 ] simplifiying candidate # 4.796 * * * * [progress]: [ 32 / 101 ] simplifiying candidate # 4.797 * * * * [progress]: [ 33 / 101 ] simplifiying candidate # 4.797 * * * * [progress]: [ 34 / 101 ] simplifiying candidate # 4.797 * * * * [progress]: [ 35 / 101 ] simplifiying candidate # 4.797 * * * * [progress]: [ 36 / 101 ] simplifiying candidate # 4.797 * * * * [progress]: [ 37 / 101 ] simplifiying candidate # 4.797 * * * * [progress]: [ 38 / 101 ] simplifiying candidate # 4.797 * * * * [progress]: [ 39 / 101 ] simplifiying candidate # 4.797 * * * * [progress]: [ 40 / 101 ] simplifiying candidate # 4.797 * * * * [progress]: [ 41 / 101 ] simplifiying candidate # 4.797 * * * * [progress]: [ 42 / 101 ] simplifiying candidate # 4.797 * * * * [progress]: [ 43 / 101 ] simplifiying candidate # 4.797 * * * * [progress]: [ 44 / 101 ] simplifiying candidate # 4.797 * * * * [progress]: [ 45 / 101 ] simplifiying candidate # 4.797 * * * * [progress]: [ 46 / 101 ] simplifiying candidate # 4.797 * * * * [progress]: [ 47 / 101 ] simplifiying candidate # 4.797 * * * * [progress]: [ 48 / 101 ] simplifiying candidate # 4.797 * * * * [progress]: [ 49 / 101 ] simplifiying candidate # 4.797 * * * * [progress]: [ 50 / 101 ] simplifiying candidate # 4.797 * * * * [progress]: [ 51 / 101 ] simplifiying candidate # 4.797 * * * * [progress]: [ 52 / 101 ] simplifiying candidate #real (real->posit16 (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N)))))))> 4.797 * * * * [progress]: [ 53 / 101 ] simplifiying candidate # 4.797 * * * * [progress]: [ 54 / 101 ] simplifiying candidate # 4.798 * * * * [progress]: [ 55 / 101 ] simplifiying candidate # 4.798 * * * * [progress]: [ 56 / 101 ] simplifiying candidate # 4.798 * * * * [progress]: [ 57 / 101 ] simplifiying candidate # 4.798 * * * * [progress]: [ 58 / 101 ] simplifiying candidate # 4.798 * * * * [progress]: [ 59 / 101 ] simplifiying candidate # 4.798 * * * * [progress]: [ 60 / 101 ] simplifiying candidate # 4.798 * * * * [progress]: [ 61 / 101 ] simplifiying candidate # 4.798 * * * * [progress]: [ 62 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 63 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 64 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 65 / 101 ] simplifiying candidate #real (real->posit16 (cbrt N)))))))> 4.799 * * * * [progress]: [ 66 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 67 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 68 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 69 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 70 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 71 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 72 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 73 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 74 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 75 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 76 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 77 / 101 ] simplifiying candidate #real (real->posit16 (cbrt N)))))) (log (/ (+ 1 N) (cbrt N)))))> 4.799 * * * * [progress]: [ 78 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 79 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 80 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 81 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 82 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 83 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 84 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 85 / 101 ] simplifiying candidate # 4.799 * * * * [progress]: [ 86 / 101 ] simplifiying candidate # 4.800 * * * * [progress]: [ 87 / 101 ] simplifiying candidate # 4.800 * * * * [progress]: [ 88 / 101 ] simplifiying candidate # 4.800 * * * * [progress]: [ 89 / 101 ] simplifiying candidate #real (real->posit16 (cbrt N))) (cbrt N)))) (log (/ (+ 1 N) (cbrt N)))))> 4.800 * * * * [progress]: [ 90 / 101 ] simplifiying candidate # 4.800 * * * * [progress]: [ 91 / 101 ] simplifiying candidate # 4.800 * * * * [progress]: [ 92 / 101 ] simplifiying candidate # 4.800 * * * * [progress]: [ 93 / 101 ] simplifiying candidate # 4.800 * * * * [progress]: [ 94 / 101 ] simplifiying candidate # 4.800 * * * * [progress]: [ 95 / 101 ] simplifiying candidate # 4.800 * * * * [progress]: [ 96 / 101 ] simplifiying candidate # 4.800 * * * * [progress]: [ 97 / 101 ] simplifiying candidate # 4.800 * * * * [progress]: [ 98 / 101 ] simplifiying candidate # 4.800 * * * * [progress]: [ 99 / 101 ] simplifiying candidate # 4.800 * * * * [progress]: [ 100 / 101 ] simplifiying candidate # 4.800 * * * * [progress]: [ 101 / 101 ] simplifiying candidate # 4.801 * [simplify]: Simplifying (* (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N))), (log (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))))), (exp (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))))), (* (cbrt (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))))) (cbrt (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N)))))), (cbrt (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))))), (* (* (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N)))) (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))))) (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))))), (sqrt (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))))), (sqrt (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))))), (+ (pow (log (/ 1 (* (cbrt N) (cbrt N)))) 3) (pow (log (/ (+ 1 N) (cbrt N))) 3)), (+ (* (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ 1 (* (cbrt N) (cbrt N))))) (- (* (log (/ (+ 1 N) (cbrt N))) (log (/ (+ 1 N) (cbrt N)))) (* (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N)))))), (- (* (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ 1 (* (cbrt N) (cbrt N))))) (* (log (/ (+ 1 N) (cbrt N))) (log (/ (+ 1 N) (cbrt N))))), (- (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N)))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N)))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N)))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N)))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N)))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (* (cbrt (/ (+ 1 N) (cbrt N))) (cbrt (/ (+ 1 N) (cbrt N)))))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (sqrt (/ (+ 1 N) (cbrt N))))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (cbrt (* (cbrt N) (cbrt N)))))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (cbrt (sqrt N))))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (cbrt 1)))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt (cbrt N))))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt (* (cbrt N) (cbrt N)))))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt (sqrt N))))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt 1)))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (sqrt (cbrt N))))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) 1))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ 1 (cbrt (* (cbrt N) (cbrt N)))))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ 1 (cbrt (sqrt N))))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ 1 (cbrt 1)))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ 1 (* (cbrt (cbrt N)) (cbrt (cbrt N)))))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ 1 (sqrt (cbrt N))))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ 1 1))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ 1 (cbrt (* (cbrt N) (cbrt N)))))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ 1 (cbrt (sqrt N))))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ 1 (cbrt 1)))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ 1 (* (cbrt (cbrt N)) (cbrt (cbrt N)))))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ 1 (sqrt (cbrt N))))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ 1 1))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log 1)), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (+ 1 N))), (+ (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (/ (+ 1 N) (cbrt N)))), (+ (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (/ (+ 1 N) (cbrt N)))), (+ (log (/ (cbrt 1) (cbrt N))) (log (/ (+ 1 N) (cbrt N)))), (+ (log (/ (sqrt 1) (cbrt N))) (log (/ (+ 1 N) (cbrt N)))), (+ (log (/ 1 (cbrt N))) (log (/ (+ 1 N) (cbrt N)))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N)))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N)))), (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (+ 1 N))), (- (log (* (cbrt N) (cbrt N))) (log (/ (+ 1 N) (cbrt N)))), (real->posit16 (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))))), (log (cbrt N)), (exp (cbrt N)), (cbrt (* (cbrt N) (cbrt N))), (cbrt (cbrt N)), (cbrt (sqrt N)), (cbrt (sqrt N)), (cbrt 1), (cbrt N), (* (cbrt (cbrt N)) (cbrt (cbrt N))), (cbrt (cbrt N)), (* (* (cbrt N) (cbrt N)) (cbrt N)), (sqrt (cbrt N)), (sqrt (cbrt N)), (real->posit16 (cbrt N)), (log (cbrt N)), (exp (cbrt N)), (cbrt (* (cbrt N) (cbrt N))), (cbrt (cbrt N)), (cbrt (sqrt N)), (cbrt (sqrt N)), (cbrt 1), (cbrt N), (* (cbrt (cbrt N)) (cbrt (cbrt N))), (cbrt (cbrt N)), (* (* (cbrt N) (cbrt N)) (cbrt N)), (sqrt (cbrt N)), (sqrt (cbrt N)), (real->posit16 (cbrt N)), (log (cbrt N)), (exp (cbrt N)), (cbrt (* (cbrt N) (cbrt N))), (cbrt (cbrt N)), (cbrt (sqrt N)), (cbrt (sqrt N)), (cbrt 1), (cbrt N), (* (cbrt (cbrt N)) (cbrt (cbrt N))), (cbrt (cbrt N)), (* (* (cbrt N) (cbrt N)) (cbrt N)), (sqrt (cbrt N)), (sqrt (cbrt N)), (real->posit16 (cbrt N)), (- (+ N (+ (log (pow N -2/3)) (log (pow (/ 1 N) 1/3)))) (* 1/2 (pow N 2))), (- (+ (log (pow (/ 1 N) 1/3)) (+ (log (pow (/ 1 N) 2/3)) (/ 1 N))) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))), (- (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (pow (cbrt -1) 2)))) (+ (/ 1 N) (log (* -1 (* (pow (/ -1 N) 1/3) (/ 1 (cbrt -1))))))) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))), (pow N 1/3), (pow (/ 1 N) -1/3), (* (pow (* N -1) 1/3) (cbrt -1)), (pow N 1/3), (pow (/ 1 N) -1/3), (* (pow (* N -1) 1/3) (cbrt -1)), (pow N 1/3), (pow (/ 1 N) -1/3), (* (pow (* N -1) 1/3) (cbrt -1)) 4.803 * * [simplify]: iteration 1: (175 enodes) 4.870 * * [simplify]: iteration 2: (743 enodes) 5.099 * * [simplify]: iteration 3: (1573 enodes) 5.836 * * [simplify]: Extracting #0: cost 49 inf + 0 5.837 * * [simplify]: Extracting #1: cost 507 inf + 2 5.840 * * [simplify]: Extracting #2: cost 1125 inf + 2799 5.851 * * [simplify]: Extracting #3: cost 1046 inf + 59601 5.914 * * [simplify]: Extracting #4: cost 401 inf + 293591 6.045 * * [simplify]: Extracting #5: cost 86 inf + 424290 6.170 * * [simplify]: Extracting #6: cost 7 inf + 474791 6.262 * * [simplify]: Extracting #7: cost 0 inf + 479567 6.350 * [simplify]: Simplified to (/ (/ (+ N 1) (cbrt N)) (* (cbrt N) (cbrt N))), (log (+ (log (+ N 1)) (log (/ 1 N)))), (/ (/ (+ N 1) (cbrt N)) (* (cbrt N) (cbrt N))), (* (cbrt (+ (log (+ N 1)) (log (/ 1 N)))) (cbrt (+ (log (+ N 1)) (log (/ 1 N))))), (cbrt (+ (log (+ N 1)) (log (/ 1 N)))), (* (+ (log (+ N 1)) (log (/ 1 N))) (* (+ (log (+ N 1)) (log (/ 1 N))) (+ (log (+ N 1)) (log (/ 1 N))))), (sqrt (+ (log (+ N 1)) (log (/ 1 N)))), (sqrt (+ (log (+ N 1)) (log (/ 1 N)))), (- (* (* (log (/ (+ N 1) (cbrt N))) (log (/ (+ N 1) (cbrt N)))) (log (/ (+ N 1) (cbrt N)))) (* (* (log N) 2/3) (* (* (log N) 2/3) (* (log N) 2/3)))), (+ (+ (* (log (/ (+ N 1) (cbrt N))) (log (/ (+ N 1) (cbrt N)))) (* (* (log N) 2/3) (log (/ (+ N 1) (cbrt N))))) (* (* (log N) 2/3) (* (log N) 2/3))), (- (* (* (log N) 2/3) (* (log N) 2/3)) (* (log (/ (+ N 1) (cbrt N))) (log (/ (+ N 1) (cbrt N))))), (+ (* 1/3 (log N)) (- (* -2/3 (log N)) (log (+ N 1)))), (+ (log (+ N 1)) (log (/ 1 N))), (+ (log (+ N 1)) (log (/ 1 N))), (+ (log (+ N 1)) (log (/ 1 N))), (+ (log (+ N 1)) (log (/ 1 N))), (+ (log (cbrt (/ (+ N 1) (cbrt N)))) (- (log (cbrt (/ (+ N 1) (cbrt N)))) (* (log N) 2/3))), (- (log (sqrt (/ (+ N 1) (cbrt N)))) (* (log N) 2/3)), (- (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (cbrt (* (cbrt N) (cbrt N))))) (* (log N) 2/3)), (+ (* -2/3 (log N)) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (cbrt (sqrt N))))), (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (* -2/3 (log N))), (+ (log (* (/ (cbrt (+ N 1)) (cbrt (cbrt N))) (/ (cbrt (+ N 1)) (cbrt (cbrt N))))) (* -2/3 (log N))), (- (log (/ (cbrt (+ N 1)) (/ (sqrt (cbrt N)) (cbrt (+ N 1))))) (* (log N) 2/3)), (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (* -2/3 (log N))), (- (log (/ (sqrt (+ N 1)) (cbrt (* (cbrt N) (cbrt N))))) (* (log N) 2/3)), (+ (log (/ (sqrt (+ N 1)) (cbrt (sqrt N)))) (* -2/3 (log N))), (+ (* -2/3 (log N)) (log (sqrt (+ N 1)))), (+ (log (/ (sqrt (+ N 1)) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (* -2/3 (log N))), (+ (log (/ (sqrt (+ N 1)) (sqrt (cbrt N)))) (* -2/3 (log N))), (+ (* -2/3 (log N)) (log (sqrt (+ N 1)))), (- (* -2/3 (log N)) (log (cbrt (* (cbrt N) (cbrt N))))), (- (* -2/3 (log N)) (log (cbrt (sqrt N)))), (* -2/3 (log N)), (- (* -2/3 (log N)) (log (* (cbrt (cbrt N)) (cbrt (cbrt N))))), (- (* -2/3 (log N)) (log (sqrt (cbrt N)))), (* -2/3 (log N)), (- (* -2/3 (log N)) (log (cbrt (* (cbrt N) (cbrt N))))), (- (* -2/3 (log N)) (log (cbrt (sqrt N)))), (* -2/3 (log N)), (- (* -2/3 (log N)) (log (* (cbrt (cbrt N)) (cbrt (cbrt N))))), (- (* -2/3 (log N)) (log (sqrt (cbrt N)))), (* -2/3 (log N)), (* -2/3 (log N)), (- (log (+ N 1)) (* (log N) 2/3)), (+ (log (cbrt (/ (/ 1 (cbrt N)) (cbrt N)))) (log (/ (+ N 1) (cbrt N)))), (+ (log (/ (+ N 1) (cbrt N))) (log (sqrt (/ (/ 1 (cbrt N)) (cbrt N))))), (- (log (+ N 1)) (* (log N) 2/3)), (- (log (+ N 1)) (* (log N) 2/3)), (- (log (+ N 1)) (* (log N) 2/3)), (+ (log (+ N 1)) (log (/ 1 N))), (+ (log (+ N 1)) (log (/ 1 N))), (- (log (+ N 1)) (* (log N) 2/3)), (+ (+ (- (* 1/3 (log N)) (log (+ N 1))) (* 1/3 (log N))) (* 1/3 (log N))), (real->posit16 (+ (log (+ N 1)) (log (/ 1 N)))), (* 1/3 (log N)), (exp (cbrt N)), (cbrt (* (cbrt N) (cbrt N))), (cbrt (cbrt N)), (cbrt (sqrt N)), (cbrt (sqrt N)), 1, (cbrt N), (* (cbrt (cbrt N)) (cbrt (cbrt N))), (cbrt (cbrt N)), N, (sqrt (cbrt N)), (sqrt (cbrt N)), (real->posit16 (cbrt N)), (* 1/3 (log N)), (exp (cbrt N)), (cbrt (* (cbrt N) (cbrt N))), (cbrt (cbrt N)), (cbrt (sqrt N)), (cbrt (sqrt N)), 1, (cbrt N), (* (cbrt (cbrt N)) (cbrt (cbrt N))), (cbrt (cbrt N)), N, (sqrt (cbrt N)), (sqrt (cbrt N)), (real->posit16 (cbrt N)), (* 1/3 (log N)), (exp (cbrt N)), (cbrt (* (cbrt N) (cbrt N))), (cbrt (cbrt N)), (cbrt (sqrt N)), (cbrt (sqrt N)), 1, (cbrt N), (* (cbrt (cbrt N)) (cbrt (cbrt N))), (cbrt (cbrt N)), N, (sqrt (cbrt N)), (sqrt (cbrt N)), (real->posit16 (cbrt N)), (- (+ N (- (log N))) (* (* N N) 1/2)), (- (- (+ (/ 1 N) (log (/ 1 N))) (log (/ 1 N))) (/ 1/2 (* N N))), (+ (+ (log (* (cbrt (/ -1 N)) (/ -1 (cbrt -1)))) (log (/ (/ (cbrt (/ (/ 1 N) N)) (cbrt -1)) (cbrt -1)))) (- (- (/ 1 N) (/ 1/2 (* N N))) (log (/ -1 N)))), (cbrt N), (pow (/ 1 N) -1/3), (* (cbrt -1) (cbrt (- N))), (cbrt N), (pow (/ 1 N) -1/3), (* (cbrt -1) (cbrt (- N))), (cbrt N), (pow (/ 1 N) -1/3), (* (cbrt -1) (cbrt (- N))) 6.356 * * * [progress]: adding candidates to table 7.294 * * [progress]: iteration 4 / 4 7.294 * * * [progress]: picking best candidate 7.298 * * * * [pick]: Picked # 7.298 * * * [progress]: localizing error 7.340 * * * [progress]: generating rewritten candidates 7.340 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 7.466 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.492 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 7.505 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 7.534 * * * [progress]: generating series expansions 7.534 * * * * [progress]: [ 1 / 4 ] generating series at (2) 7.535 * [backup-simplify]: Simplify (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 7.535 * [approximate]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 7.535 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 7.535 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 7.535 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 7.535 * [taylor]: Taking taylor expansion of 1/3 in N 7.535 * [backup-simplify]: Simplify 1/3 into 1/3 7.535 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.535 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.535 * [taylor]: Taking taylor expansion of N in N 7.535 * [backup-simplify]: Simplify 0 into 0 7.535 * [backup-simplify]: Simplify 1 into 1 7.536 * [backup-simplify]: Simplify (* 1 1) into 1 7.537 * [backup-simplify]: Simplify (* 1 1) into 1 7.537 * [backup-simplify]: Simplify (/ 1 1) into 1 7.537 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.537 * [taylor]: Taking taylor expansion of N in N 7.537 * [backup-simplify]: Simplify 0 into 0 7.537 * [backup-simplify]: Simplify 1 into 1 7.538 * [backup-simplify]: Simplify (/ 1 1) into 1 7.538 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 7.538 * [taylor]: Taking taylor expansion of 1/2 in N 7.538 * [backup-simplify]: Simplify 1/2 into 1/2 7.538 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.538 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.538 * [taylor]: Taking taylor expansion of N in N 7.538 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify 1 into 1 7.539 * [backup-simplify]: Simplify (* 1 1) into 1 7.539 * [backup-simplify]: Simplify (/ 1 1) into 1 7.541 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 7.541 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 7.541 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 7.541 * [taylor]: Taking taylor expansion of 1/3 in N 7.541 * [backup-simplify]: Simplify 1/3 into 1/3 7.541 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.541 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.541 * [taylor]: Taking taylor expansion of N in N 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify 1 into 1 7.542 * [backup-simplify]: Simplify (* 1 1) into 1 7.542 * [backup-simplify]: Simplify (* 1 1) into 1 7.542 * [backup-simplify]: Simplify (/ 1 1) into 1 7.542 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.542 * [taylor]: Taking taylor expansion of N in N 7.542 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify 1 into 1 7.543 * [backup-simplify]: Simplify (/ 1 1) into 1 7.543 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 7.543 * [taylor]: Taking taylor expansion of 1/2 in N 7.543 * [backup-simplify]: Simplify 1/2 into 1/2 7.543 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.543 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.543 * [taylor]: Taking taylor expansion of N in N 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify 1 into 1 7.543 * [backup-simplify]: Simplify (* 1 1) into 1 7.543 * [backup-simplify]: Simplify (/ 1 1) into 1 7.544 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 7.544 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 7.544 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 7.544 * [backup-simplify]: Simplify 1/3 into 1/3 7.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.546 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 7.546 * [backup-simplify]: Simplify (+ 0 0) into 0 7.547 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.547 * [backup-simplify]: Simplify (- 1/2) into -1/2 7.547 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 7.547 * [backup-simplify]: Simplify -1/2 into -1/2 7.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.549 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 7.550 * [backup-simplify]: Simplify (+ 0 1) into 1 7.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.551 * [backup-simplify]: Simplify (- 0) into 0 7.552 * [backup-simplify]: Simplify (+ 1 0) into 1 7.552 * [backup-simplify]: Simplify 1 into 1 7.552 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 7.552 * [backup-simplify]: Simplify (+ (/ 1/3 (* (/ 1 N) (* (/ 1 N) (/ 1 N)))) (- (/ 1 (/ 1 N)) (/ 1/2 (* (/ 1 N) (/ 1 N))))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 7.552 * [approximate]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in (N) around 0 7.552 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 7.552 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 7.552 * [taylor]: Taking taylor expansion of N in N 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify 1 into 1 7.552 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 7.552 * [taylor]: Taking taylor expansion of 1/3 in N 7.552 * [backup-simplify]: Simplify 1/3 into 1/3 7.552 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.552 * [taylor]: Taking taylor expansion of N in N 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify 1 into 1 7.552 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 7.553 * [taylor]: Taking taylor expansion of 1/2 in N 7.553 * [backup-simplify]: Simplify 1/2 into 1/2 7.553 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.553 * [taylor]: Taking taylor expansion of N in N 7.553 * [backup-simplify]: Simplify 0 into 0 7.553 * [backup-simplify]: Simplify 1 into 1 7.553 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 7.553 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 7.553 * [taylor]: Taking taylor expansion of N in N 7.553 * [backup-simplify]: Simplify 0 into 0 7.553 * [backup-simplify]: Simplify 1 into 1 7.553 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 7.553 * [taylor]: Taking taylor expansion of 1/3 in N 7.553 * [backup-simplify]: Simplify 1/3 into 1/3 7.553 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.553 * [taylor]: Taking taylor expansion of N in N 7.553 * [backup-simplify]: Simplify 0 into 0 7.553 * [backup-simplify]: Simplify 1 into 1 7.553 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 7.553 * [taylor]: Taking taylor expansion of 1/2 in N 7.553 * [backup-simplify]: Simplify 1/2 into 1/2 7.553 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.553 * [taylor]: Taking taylor expansion of N in N 7.553 * [backup-simplify]: Simplify 0 into 0 7.553 * [backup-simplify]: Simplify 1 into 1 7.553 * [backup-simplify]: Simplify (+ 0 0) into 0 7.553 * [backup-simplify]: Simplify (+ 0 0) into 0 7.553 * [backup-simplify]: Simplify 0 into 0 7.554 * [backup-simplify]: Simplify (+ 1 0) into 1 7.554 * [backup-simplify]: Simplify (+ 1 0) into 1 7.554 * [backup-simplify]: Simplify 1 into 1 7.554 * [backup-simplify]: Simplify (+ 0 0) into 0 7.555 * [backup-simplify]: Simplify (* 1 1) into 1 7.555 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.555 * [backup-simplify]: Simplify (- 1/2) into -1/2 7.555 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 7.555 * [backup-simplify]: Simplify -1/2 into -1/2 7.556 * [backup-simplify]: Simplify (* 1 1) into 1 7.556 * [backup-simplify]: Simplify (* 1 1) into 1 7.556 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 7.556 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 7.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.557 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.558 * [backup-simplify]: Simplify (- 0) into 0 7.558 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 7.558 * [backup-simplify]: Simplify 1/3 into 1/3 7.558 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 7.558 * [backup-simplify]: Simplify (+ (/ 1/3 (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N))))) (- (/ 1 (/ 1 (- N))) (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N)))))) into (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) 7.558 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in (N) around 0 7.558 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 7.558 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 7.558 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 7.558 * [taylor]: Taking taylor expansion of 1/2 in N 7.558 * [backup-simplify]: Simplify 1/2 into 1/2 7.558 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.559 * [taylor]: Taking taylor expansion of N in N 7.559 * [backup-simplify]: Simplify 0 into 0 7.559 * [backup-simplify]: Simplify 1 into 1 7.559 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 7.559 * [taylor]: Taking taylor expansion of N in N 7.559 * [backup-simplify]: Simplify 0 into 0 7.559 * [backup-simplify]: Simplify 1 into 1 7.559 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 7.559 * [taylor]: Taking taylor expansion of 1/3 in N 7.559 * [backup-simplify]: Simplify 1/3 into 1/3 7.559 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.559 * [taylor]: Taking taylor expansion of N in N 7.559 * [backup-simplify]: Simplify 0 into 0 7.559 * [backup-simplify]: Simplify 1 into 1 7.559 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 7.559 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 7.559 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 7.559 * [taylor]: Taking taylor expansion of 1/2 in N 7.559 * [backup-simplify]: Simplify 1/2 into 1/2 7.559 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.559 * [taylor]: Taking taylor expansion of N in N 7.559 * [backup-simplify]: Simplify 0 into 0 7.559 * [backup-simplify]: Simplify 1 into 1 7.559 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 7.559 * [taylor]: Taking taylor expansion of N in N 7.559 * [backup-simplify]: Simplify 0 into 0 7.559 * [backup-simplify]: Simplify 1 into 1 7.559 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 7.559 * [taylor]: Taking taylor expansion of 1/3 in N 7.559 * [backup-simplify]: Simplify 1/3 into 1/3 7.559 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.559 * [taylor]: Taking taylor expansion of N in N 7.559 * [backup-simplify]: Simplify 0 into 0 7.559 * [backup-simplify]: Simplify 1 into 1 7.559 * [backup-simplify]: Simplify (+ 0 0) into 0 7.560 * [backup-simplify]: Simplify (+ 0 0) into 0 7.560 * [backup-simplify]: Simplify (- 0) into 0 7.560 * [backup-simplify]: Simplify 0 into 0 7.560 * [backup-simplify]: Simplify (+ 1 0) into 1 7.560 * [backup-simplify]: Simplify (+ 0 1) into 1 7.561 * [backup-simplify]: Simplify (- 1) into -1 7.561 * [backup-simplify]: Simplify -1 into -1 7.561 * [backup-simplify]: Simplify (* 1 1) into 1 7.561 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.562 * [backup-simplify]: Simplify (+ 0 0) into 0 7.562 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.562 * [backup-simplify]: Simplify (- 1/2) into -1/2 7.562 * [backup-simplify]: Simplify -1/2 into -1/2 7.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.563 * [backup-simplify]: Simplify (* 1 1) into 1 7.564 * [backup-simplify]: Simplify (* 1 1) into 1 7.564 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 7.564 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 7.565 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 7.565 * [backup-simplify]: Simplify (- 1/3) into -1/3 7.565 * [backup-simplify]: Simplify -1/3 into -1/3 7.565 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 7.566 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 7.566 * [backup-simplify]: Simplify (/ 1/3 (* N (* N N))) into (/ 1/3 (pow N 3)) 7.566 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 3)) in (N) around 0 7.566 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 7.566 * [taylor]: Taking taylor expansion of 1/3 in N 7.566 * [backup-simplify]: Simplify 1/3 into 1/3 7.566 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.566 * [taylor]: Taking taylor expansion of N in N 7.566 * [backup-simplify]: Simplify 0 into 0 7.566 * [backup-simplify]: Simplify 1 into 1 7.566 * [backup-simplify]: Simplify (* 1 1) into 1 7.566 * [backup-simplify]: Simplify (* 1 1) into 1 7.567 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 7.567 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 7.567 * [taylor]: Taking taylor expansion of 1/3 in N 7.567 * [backup-simplify]: Simplify 1/3 into 1/3 7.567 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.567 * [taylor]: Taking taylor expansion of N in N 7.567 * [backup-simplify]: Simplify 0 into 0 7.567 * [backup-simplify]: Simplify 1 into 1 7.567 * [backup-simplify]: Simplify (* 1 1) into 1 7.567 * [backup-simplify]: Simplify (* 1 1) into 1 7.568 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 7.568 * [backup-simplify]: Simplify 1/3 into 1/3 7.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 7.569 * [backup-simplify]: Simplify 0 into 0 7.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.571 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.574 * [backup-simplify]: Simplify 0 into 0 7.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.578 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.582 * [backup-simplify]: Simplify 0 into 0 7.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.586 * [backup-simplify]: Simplify 0 into 0 7.587 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 7.587 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 N) (* (/ 1 N) (/ 1 N)))) into (* 1/3 (pow N 3)) 7.587 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 3)) in (N) around 0 7.587 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 7.587 * [taylor]: Taking taylor expansion of 1/3 in N 7.587 * [backup-simplify]: Simplify 1/3 into 1/3 7.587 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.587 * [taylor]: Taking taylor expansion of N in N 7.587 * [backup-simplify]: Simplify 0 into 0 7.587 * [backup-simplify]: Simplify 1 into 1 7.587 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 7.587 * [taylor]: Taking taylor expansion of 1/3 in N 7.587 * [backup-simplify]: Simplify 1/3 into 1/3 7.587 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.587 * [taylor]: Taking taylor expansion of N in N 7.587 * [backup-simplify]: Simplify 0 into 0 7.587 * [backup-simplify]: Simplify 1 into 1 7.588 * [backup-simplify]: Simplify (* 1 1) into 1 7.588 * [backup-simplify]: Simplify (* 1 1) into 1 7.589 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 7.589 * [backup-simplify]: Simplify 1/3 into 1/3 7.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.591 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 7.591 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.594 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 7.594 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.598 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.598 * [backup-simplify]: Simplify 0 into 0 7.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.602 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.602 * [backup-simplify]: Simplify 0 into 0 7.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.607 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.607 * [backup-simplify]: Simplify 0 into 0 7.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.612 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.612 * [backup-simplify]: Simplify 0 into 0 7.612 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 7.612 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N))))) into (* -1/3 (pow N 3)) 7.612 * [approximate]: Taking taylor expansion of (* -1/3 (pow N 3)) in (N) around 0 7.612 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 7.612 * [taylor]: Taking taylor expansion of -1/3 in N 7.612 * [backup-simplify]: Simplify -1/3 into -1/3 7.612 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.612 * [taylor]: Taking taylor expansion of N in N 7.612 * [backup-simplify]: Simplify 0 into 0 7.612 * [backup-simplify]: Simplify 1 into 1 7.612 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 7.613 * [taylor]: Taking taylor expansion of -1/3 in N 7.613 * [backup-simplify]: Simplify -1/3 into -1/3 7.613 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.613 * [taylor]: Taking taylor expansion of N in N 7.613 * [backup-simplify]: Simplify 0 into 0 7.613 * [backup-simplify]: Simplify 1 into 1 7.613 * [backup-simplify]: Simplify (* 1 1) into 1 7.614 * [backup-simplify]: Simplify (* 1 1) into 1 7.614 * [backup-simplify]: Simplify (* -1/3 1) into -1/3 7.614 * [backup-simplify]: Simplify -1/3 into -1/3 7.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.616 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 1)) into 0 7.616 * [backup-simplify]: Simplify 0 into 0 7.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.619 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 1))) into 0 7.619 * [backup-simplify]: Simplify 0 into 0 7.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.623 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.623 * [backup-simplify]: Simplify 0 into 0 7.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.627 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.627 * [backup-simplify]: Simplify 0 into 0 7.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.632 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.632 * [backup-simplify]: Simplify 0 into 0 7.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.637 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.637 * [backup-simplify]: Simplify 0 into 0 7.637 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (- N)) 3)) into (/ 1/3 (pow N 3)) 7.637 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 7.637 * [backup-simplify]: Simplify (/ 1/2 (* N N)) into (/ 1/2 (pow N 2)) 7.637 * [approximate]: Taking taylor expansion of (/ 1/2 (pow N 2)) in (N) around 0 7.638 * [taylor]: Taking taylor expansion of (/ 1/2 (pow N 2)) in N 7.638 * [taylor]: Taking taylor expansion of 1/2 in N 7.638 * [backup-simplify]: Simplify 1/2 into 1/2 7.638 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.638 * [taylor]: Taking taylor expansion of N in N 7.638 * [backup-simplify]: Simplify 0 into 0 7.638 * [backup-simplify]: Simplify 1 into 1 7.638 * [backup-simplify]: Simplify (* 1 1) into 1 7.639 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.639 * [taylor]: Taking taylor expansion of (/ 1/2 (pow N 2)) in N 7.639 * [taylor]: Taking taylor expansion of 1/2 in N 7.639 * [backup-simplify]: Simplify 1/2 into 1/2 7.639 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.639 * [taylor]: Taking taylor expansion of N in N 7.639 * [backup-simplify]: Simplify 0 into 0 7.639 * [backup-simplify]: Simplify 1 into 1 7.639 * [backup-simplify]: Simplify (* 1 1) into 1 7.640 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.640 * [backup-simplify]: Simplify 1/2 into 1/2 7.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.641 * [backup-simplify]: Simplify 0 into 0 7.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.644 * [backup-simplify]: Simplify 0 into 0 7.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.646 * [backup-simplify]: Simplify 0 into 0 7.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.648 * [backup-simplify]: Simplify 0 into 0 7.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.651 * [backup-simplify]: Simplify 0 into 0 7.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.655 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2)) 7.656 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 N) (/ 1 N))) into (* 1/2 (pow N 2)) 7.656 * [approximate]: Taking taylor expansion of (* 1/2 (pow N 2)) in (N) around 0 7.656 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 7.656 * [taylor]: Taking taylor expansion of 1/2 in N 7.656 * [backup-simplify]: Simplify 1/2 into 1/2 7.656 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.656 * [taylor]: Taking taylor expansion of N in N 7.656 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify 1 into 1 7.656 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 7.656 * [taylor]: Taking taylor expansion of 1/2 in N 7.656 * [backup-simplify]: Simplify 1/2 into 1/2 7.656 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.656 * [taylor]: Taking taylor expansion of N in N 7.656 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify 1 into 1 7.657 * [backup-simplify]: Simplify (* 1 1) into 1 7.657 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.657 * [backup-simplify]: Simplify 1/2 into 1/2 7.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.659 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.659 * [backup-simplify]: Simplify 0 into 0 7.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.661 * [backup-simplify]: Simplify 0 into 0 7.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.663 * [backup-simplify]: Simplify 0 into 0 7.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.666 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.666 * [backup-simplify]: Simplify 0 into 0 7.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.669 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.669 * [backup-simplify]: Simplify 0 into 0 7.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.673 * [backup-simplify]: Simplify 0 into 0 7.673 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2)) 7.673 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 1/2 (pow N 2)) 7.673 * [approximate]: Taking taylor expansion of (* 1/2 (pow N 2)) in (N) around 0 7.673 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 7.673 * [taylor]: Taking taylor expansion of 1/2 in N 7.673 * [backup-simplify]: Simplify 1/2 into 1/2 7.673 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.673 * [taylor]: Taking taylor expansion of N in N 7.673 * [backup-simplify]: Simplify 0 into 0 7.673 * [backup-simplify]: Simplify 1 into 1 7.673 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 7.673 * [taylor]: Taking taylor expansion of 1/2 in N 7.673 * [backup-simplify]: Simplify 1/2 into 1/2 7.673 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.674 * [taylor]: Taking taylor expansion of N in N 7.674 * [backup-simplify]: Simplify 0 into 0 7.674 * [backup-simplify]: Simplify 1 into 1 7.674 * [backup-simplify]: Simplify (* 1 1) into 1 7.675 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.675 * [backup-simplify]: Simplify 1/2 into 1/2 7.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.676 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.676 * [backup-simplify]: Simplify 0 into 0 7.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.678 * [backup-simplify]: Simplify 0 into 0 7.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.683 * [backup-simplify]: Simplify 0 into 0 7.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.686 * [backup-simplify]: Simplify 0 into 0 7.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.689 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.690 * [backup-simplify]: Simplify 0 into 0 7.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.693 * [backup-simplify]: Simplify 0 into 0 7.693 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 (- N)) 2)) into (/ 1/2 (pow N 2)) 7.694 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 7.694 * [backup-simplify]: Simplify (* N (* N N)) into (pow N 3) 7.694 * [approximate]: Taking taylor expansion of (pow N 3) in (N) around 0 7.694 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.694 * [taylor]: Taking taylor expansion of N in N 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify 1 into 1 7.694 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.694 * [taylor]: Taking taylor expansion of N in N 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify 1 into 1 7.694 * [backup-simplify]: Simplify (* 1 1) into 1 7.695 * [backup-simplify]: Simplify (* 1 1) into 1 7.695 * [backup-simplify]: Simplify 1 into 1 7.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.696 * [backup-simplify]: Simplify 0 into 0 7.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.698 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.701 * [backup-simplify]: Simplify 0 into 0 7.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.703 * [backup-simplify]: Simplify 0 into 0 7.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.706 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.709 * [backup-simplify]: Simplify 0 into 0 7.710 * [backup-simplify]: Simplify (* 1 (pow N 3)) into (pow N 3) 7.710 * [backup-simplify]: Simplify (* (/ 1 N) (* (/ 1 N) (/ 1 N))) into (/ 1 (pow N 3)) 7.710 * [approximate]: Taking taylor expansion of (/ 1 (pow N 3)) in (N) around 0 7.710 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.710 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.710 * [taylor]: Taking taylor expansion of N in N 7.710 * [backup-simplify]: Simplify 0 into 0 7.710 * [backup-simplify]: Simplify 1 into 1 7.710 * [backup-simplify]: Simplify (* 1 1) into 1 7.711 * [backup-simplify]: Simplify (* 1 1) into 1 7.711 * [backup-simplify]: Simplify (/ 1 1) into 1 7.711 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.711 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.711 * [taylor]: Taking taylor expansion of N in N 7.711 * [backup-simplify]: Simplify 0 into 0 7.711 * [backup-simplify]: Simplify 1 into 1 7.712 * [backup-simplify]: Simplify (* 1 1) into 1 7.712 * [backup-simplify]: Simplify (* 1 1) into 1 7.713 * [backup-simplify]: Simplify (/ 1 1) into 1 7.713 * [backup-simplify]: Simplify 1 into 1 7.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.715 * [backup-simplify]: Simplify 0 into 0 7.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.718 * [backup-simplify]: Simplify 0 into 0 7.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.722 * [backup-simplify]: Simplify 0 into 0 7.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.725 * [backup-simplify]: Simplify 0 into 0 7.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.729 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.733 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 N)) 3)) into (pow N 3) 7.734 * [backup-simplify]: Simplify (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N)))) into (/ -1 (pow N 3)) 7.734 * [approximate]: Taking taylor expansion of (/ -1 (pow N 3)) in (N) around 0 7.734 * [taylor]: Taking taylor expansion of (/ -1 (pow N 3)) in N 7.734 * [taylor]: Taking taylor expansion of -1 in N 7.734 * [backup-simplify]: Simplify -1 into -1 7.734 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.734 * [taylor]: Taking taylor expansion of N in N 7.734 * [backup-simplify]: Simplify 0 into 0 7.734 * [backup-simplify]: Simplify 1 into 1 7.734 * [backup-simplify]: Simplify (* 1 1) into 1 7.735 * [backup-simplify]: Simplify (* 1 1) into 1 7.735 * [backup-simplify]: Simplify (/ -1 1) into -1 7.735 * [taylor]: Taking taylor expansion of (/ -1 (pow N 3)) in N 7.735 * [taylor]: Taking taylor expansion of -1 in N 7.735 * [backup-simplify]: Simplify -1 into -1 7.735 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.735 * [taylor]: Taking taylor expansion of N in N 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [backup-simplify]: Simplify 1 into 1 7.736 * [backup-simplify]: Simplify (* 1 1) into 1 7.736 * [backup-simplify]: Simplify (* 1 1) into 1 7.736 * [backup-simplify]: Simplify (/ -1 1) into -1 7.737 * [backup-simplify]: Simplify -1 into -1 7.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.739 * [backup-simplify]: Simplify 0 into 0 7.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.742 * [backup-simplify]: Simplify 0 into 0 7.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.745 * [backup-simplify]: Simplify 0 into 0 7.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.748 * [backup-simplify]: Simplify 0 into 0 7.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.753 * [backup-simplify]: Simplify 0 into 0 7.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.758 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (/ 1 (- N))) 3)) into (pow N 3) 7.758 * * * [progress]: simplifying candidates 7.758 * * * * [progress]: [ 1 / 105 ] simplifiying candidate # 7.759 * * * * [progress]: [ 2 / 105 ] simplifiying candidate # 7.759 * * * * [progress]: [ 3 / 105 ] simplifiying candidate # 7.759 * * * * [progress]: [ 4 / 105 ] simplifiying candidate # 7.759 * * * * [progress]: [ 5 / 105 ] simplifiying candidate # 7.759 * * * * [progress]: [ 6 / 105 ] simplifiying candidate # 7.759 * * * * [progress]: [ 7 / 105 ] simplifiying candidate # 7.759 * * * * [progress]: [ 8 / 105 ] simplifiying candidate # 7.759 * * * * [progress]: [ 9 / 105 ] simplifiying candidate # 7.759 * * * * [progress]: [ 10 / 105 ] simplifiying candidate # 7.759 * * * * [progress]: [ 11 / 105 ] simplifiying candidate # 7.759 * * * * [progress]: [ 12 / 105 ] simplifiying candidate # 7.759 * * * * [progress]: [ 13 / 105 ] simplifiying candidate # 7.759 * * * * [progress]: [ 14 / 105 ] simplifiying candidate # 7.759 * * * * [progress]: [ 15 / 105 ] simplifiying candidate # 7.760 * * * * [progress]: [ 16 / 105 ] simplifiying candidate # 7.760 * * * * [progress]: [ 17 / 105 ] simplifiying candidate # 7.760 * * * * [progress]: [ 18 / 105 ] simplifiying candidate # 7.760 * * * * [progress]: [ 19 / 105 ] simplifiying candidate # 7.760 * * * * [progress]: [ 20 / 105 ] simplifiying candidate # 7.760 * * * * [progress]: [ 21 / 105 ] simplifiying candidate #real (real->posit16 (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))))))> 7.760 * * * * [progress]: [ 22 / 105 ] simplifiying candidate # 7.760 * * * * [progress]: [ 23 / 105 ] simplifiying candidate # 7.760 * * * * [progress]: [ 24 / 105 ] simplifiying candidate # 7.760 * * * * [progress]: [ 25 / 105 ] simplifiying candidate # 7.760 * * * * [progress]: [ 26 / 105 ] simplifiying candidate # 7.760 * * * * [progress]: [ 27 / 105 ] simplifiying candidate # 7.760 * * * * [progress]: [ 28 / 105 ] simplifiying candidate # 7.760 * * * * [progress]: [ 29 / 105 ] simplifiying candidate # 7.760 * * * * [progress]: [ 30 / 105 ] simplifiying candidate # 7.760 * * * * [progress]: [ 31 / 105 ] simplifiying candidate # 7.761 * * * * [progress]: [ 32 / 105 ] simplifiying candidate # 7.761 * * * * [progress]: [ 33 / 105 ] simplifiying candidate # 7.761 * * * * [progress]: [ 34 / 105 ] simplifiying candidate # 7.761 * * * * [progress]: [ 35 / 105 ] simplifiying candidate # 7.761 * * * * [progress]: [ 36 / 105 ] simplifiying candidate # 7.761 * * * * [progress]: [ 37 / 105 ] simplifiying candidate # 7.761 * * * * [progress]: [ 38 / 105 ] simplifiying candidate # 7.761 * * * * [progress]: [ 39 / 105 ] simplifiying candidate # 7.761 * * * * [progress]: [ 40 / 105 ] simplifiying candidate # 7.761 * * * * [progress]: [ 41 / 105 ] simplifiying candidate # 7.761 * * * * [progress]: [ 42 / 105 ] simplifiying candidate # 7.761 * * * * [progress]: [ 43 / 105 ] simplifiying candidate # 7.761 * * * * [progress]: [ 44 / 105 ] simplifiying candidate # 7.761 * * * * [progress]: [ 45 / 105 ] simplifiying candidate # 7.761 * * * * [progress]: [ 46 / 105 ] simplifiying candidate #real (real->posit16 (/ 1/3 (* N (* N N))))) (- (/ 1 N) (/ 1/2 (* N N)))))> 7.761 * * * * [progress]: [ 47 / 105 ] simplifiying candidate # 7.762 * * * * [progress]: [ 48 / 105 ] simplifiying candidate # 7.762 * * * * [progress]: [ 49 / 105 ] simplifiying candidate # 7.762 * * * * [progress]: [ 50 / 105 ] simplifiying candidate # 7.762 * * * * [progress]: [ 51 / 105 ] simplifiying candidate # 7.762 * * * * [progress]: [ 52 / 105 ] simplifiying candidate # 7.762 * * * * [progress]: [ 53 / 105 ] simplifiying candidate # 7.762 * * * * [progress]: [ 54 / 105 ] simplifiying candidate # 7.762 * * * * [progress]: [ 55 / 105 ] simplifiying candidate # 7.762 * * * * [progress]: [ 56 / 105 ] simplifiying candidate # 7.762 * * * * [progress]: [ 57 / 105 ] simplifiying candidate # 7.762 * * * * [progress]: [ 58 / 105 ] simplifiying candidate # 7.762 * * * * [progress]: [ 59 / 105 ] simplifiying candidate # 7.762 * * * * [progress]: [ 60 / 105 ] simplifiying candidate # 7.762 * * * * [progress]: [ 61 / 105 ] simplifiying candidate # 7.763 * * * * [progress]: [ 62 / 105 ] simplifiying candidate # 7.763 * * * * [progress]: [ 63 / 105 ] simplifiying candidate # 7.763 * * * * [progress]: [ 64 / 105 ] simplifiying candidate # 7.763 * * * * [progress]: [ 65 / 105 ] simplifiying candidate # 7.763 * * * * [progress]: [ 66 / 105 ] simplifiying candidate # 7.763 * * * * [progress]: [ 67 / 105 ] simplifiying candidate # 7.763 * * * * [progress]: [ 68 / 105 ] simplifiying candidate #real (real->posit16 (/ 1/2 (* N N)))))))> 7.763 * * * * [progress]: [ 69 / 105 ] simplifiying candidate # 7.763 * * * * [progress]: [ 70 / 105 ] simplifiying candidate # 7.763 * * * * [progress]: [ 71 / 105 ] simplifiying candidate # 7.763 * * * * [progress]: [ 72 / 105 ] simplifiying candidate # 7.763 * * * * [progress]: [ 73 / 105 ] simplifiying candidate # 7.763 * * * * [progress]: [ 74 / 105 ] simplifiying candidate # 7.764 * * * * [progress]: [ 75 / 105 ] simplifiying candidate # 7.764 * * * * [progress]: [ 76 / 105 ] simplifiying candidate # 7.764 * * * * [progress]: [ 77 / 105 ] simplifiying candidate # 7.764 * * * * [progress]: [ 78 / 105 ] simplifiying candidate # 7.764 * * * * [progress]: [ 79 / 105 ] simplifiying candidate # 7.764 * * * * [progress]: [ 80 / 105 ] simplifiying candidate # 7.764 * * * * [progress]: [ 81 / 105 ] simplifiying candidate # 7.764 * * * * [progress]: [ 82 / 105 ] simplifiying candidate # 7.764 * * * * [progress]: [ 83 / 105 ] simplifiying candidate # 7.764 * * * * [progress]: [ 84 / 105 ] simplifiying candidate # 7.764 * * * * [progress]: [ 85 / 105 ] simplifiying candidate # 7.764 * * * * [progress]: [ 86 / 105 ] simplifiying candidate # 7.764 * * * * [progress]: [ 87 / 105 ] simplifiying candidate # 7.764 * * * * [progress]: [ 88 / 105 ] simplifiying candidate # 7.765 * * * * [progress]: [ 89 / 105 ] simplifiying candidate # 7.765 * * * * [progress]: [ 90 / 105 ] simplifiying candidate # 7.765 * * * * [progress]: [ 91 / 105 ] simplifiying candidate # 7.765 * * * * [progress]: [ 92 / 105 ] simplifiying candidate #real (real->posit16 (* N (* N N))))) (- (/ 1 N) (/ 1/2 (* N N)))))> 7.765 * * * * [progress]: [ 93 / 105 ] simplifiying candidate # 7.765 * * * * [progress]: [ 94 / 105 ] simplifiying candidate # 7.765 * * * * [progress]: [ 95 / 105 ] simplifiying candidate # 7.765 * * * * [progress]: [ 96 / 105 ] simplifiying candidate # 7.765 * * * * [progress]: [ 97 / 105 ] simplifiying candidate # 7.765 * * * * [progress]: [ 98 / 105 ] simplifiying candidate # 7.765 * * * * [progress]: [ 99 / 105 ] simplifiying candidate # 7.765 * * * * [progress]: [ 100 / 105 ] simplifiying candidate # 7.765 * * * * [progress]: [ 101 / 105 ] simplifiying candidate # 7.765 * * * * [progress]: [ 102 / 105 ] simplifiying candidate # 7.765 * * * * [progress]: [ 103 / 105 ] simplifiying candidate # 7.765 * * * * [progress]: [ 104 / 105 ] simplifiying candidate # 7.765 * * * * [progress]: [ 105 / 105 ] simplifiying candidate # 7.767 * [simplify]: Simplifying (* (exp (/ 1/3 (* N (* N N)))) (/ (exp (/ 1 N)) (exp (/ 1/2 (* N N))))), (* (exp (/ 1/3 (* N (* N N)))) (exp (- (/ 1 N) (/ 1/2 (* N N))))), (log (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))), (exp (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))), (* (cbrt (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))))), (cbrt (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))), (* (* (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))) (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))), (sqrt (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))), (sqrt (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))), (+ (* 1/3 (* N (* N N))) (* (* N (* N N)) (- (* 1 (* N N)) (* N 1/2)))), (* (* N (* N N)) (* N (* N N))), (+ (* 1/3 (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1/2 (* N N)))))) (* (* N (* N N)) (- (pow (/ 1 N) 3) (pow (/ 1/2 (* N N)) 3)))), (* (* N (* N N)) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1/2 (* N N)))))), (+ (* 1/3 (+ (/ 1 N) (/ 1/2 (* N N)))) (* (* N (* N N)) (- (* (/ 1 N) (/ 1 N)) (* (/ 1/2 (* N N)) (/ 1/2 (* N N)))))), (* (* N (* N N)) (+ (/ 1 N) (/ 1/2 (* N N)))), (+ (pow (/ 1/3 (* N (* N N))) 3) (pow (- (/ 1 N) (/ 1/2 (* N N))) 3)), (+ (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N)))) (- (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (* (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))))), (- (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N)))) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))), (- (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))), (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))), (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))), (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))), (+ (/ 1/3 (* N (* N N))) (/ 1 N)), (+ (/ 1/3 (* N (* N N))) (/ 1 N)), (+ (/ 1/3 (* N (* N N))) (/ 1 N)), (real->posit16 (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))), (- (log 1/3) (+ (log N) (+ (log N) (log N)))), (- (log 1/3) (+ (log N) (log (* N N)))), (- (log 1/3) (log (* N (* N N)))), (log (/ 1/3 (* N (* N N)))), (exp (/ 1/3 (* N (* N N)))), (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) N) (* (* (* N N) N) (* (* N N) N)))), (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) N) (* (* (* N N) (* N N)) (* N N)))), (/ (* (* 1/3 1/3) 1/3) (* (* (* N (* N N)) (* N (* N N))) (* N (* N N)))), (* (cbrt (/ 1/3 (* N (* N N)))) (cbrt (/ 1/3 (* N (* N N))))), (cbrt (/ 1/3 (* N (* N N)))), (* (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N)))) (/ 1/3 (* N (* N N)))), (sqrt (/ 1/3 (* N (* N N)))), (sqrt (/ 1/3 (* N (* N N)))), (- 1/3), (- (* N (* N N))), (/ (* (cbrt 1/3) (cbrt 1/3)) N), (/ (cbrt 1/3) (* N N)), (/ (sqrt 1/3) N), (/ (sqrt 1/3) (* N N)), (/ 1 N), (/ 1/3 (* N N)), (/ 1 (* N (* N N))), (/ (* N (* N N)) 1/3), (/ 1/3 N), (/ (* N (* N N)) (cbrt 1/3)), (/ (* N (* N N)) (sqrt 1/3)), (/ (* N (* N N)) 1/3), (real->posit16 (/ 1/3 (* N (* N N)))), (- (log 1/2) (+ (log N) (log N))), (- (log 1/2) (log (* N N))), (log (/ 1/2 (* N N))), (exp (/ 1/2 (* N N))), (/ (* (* 1/2 1/2) 1/2) (* (* (* N N) N) (* (* N N) N))), (/ (* (* 1/2 1/2) 1/2) (* (* (* N N) (* N N)) (* N N))), (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))), (cbrt (/ 1/2 (* N N))), (* (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (/ 1/2 (* N N))), (sqrt (/ 1/2 (* N N))), (sqrt (/ 1/2 (* N N))), (- 1/2), (- (* N N)), (/ (* (cbrt 1/2) (cbrt 1/2)) N), (/ (cbrt 1/2) N), (/ (sqrt 1/2) N), (/ (sqrt 1/2) N), (/ 1 N), (/ 1/2 N), (/ 1 (* N N)), (/ (* N N) 1/2), (/ 1/2 N), (/ (* N N) (cbrt 1/2)), (/ (* N N) (sqrt 1/2)), (/ (* N N) 1/2), (real->posit16 (/ 1/2 (* N N))), (+ 1 (+ 1 1)), (+ 1 2), (+ 1 (+ 1 1)), (+ 1 (* 2 1)), (* N (* N N)), (* N (* N N)), (+ (log N) (+ (log N) (log N))), (+ (log N) (log (* N N))), (log (* N (* N N))), (exp (* N (* N N))), (* (* (* N N) N) (* (* (* N N) N) (* (* N N) N))), (* (* (* N N) N) (* (* (* N N) (* N N)) (* N N))), (* (cbrt (* N (* N N))) (cbrt (* N (* N N)))), (cbrt (* N (* N N))), (* (* (* N (* N N)) (* N (* N N))) (* N (* N N))), (sqrt (* N (* N N))), (sqrt (* N (* N N))), (* (sqrt N) N), (* (sqrt N) N), (* N N), (* (cbrt N) (* N N)), (* (sqrt N) (* N N)), (* N (* N N)), (real->posit16 (* N (* N N))), (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))), (/ 1/3 (pow N 3)), (/ 1/3 (pow N 3)), (/ 1/3 (pow N 3)), (/ 1/2 (pow N 2)), (/ 1/2 (pow N 2)), (/ 1/2 (pow N 2)), (pow N 3), (pow N 3), (pow N 3) 7.770 * * [simplify]: iteration 1: (160 enodes) 7.844 * * [simplify]: iteration 2: (704 enodes) 8.130 * * [simplify]: iteration 3: (1738 enodes) 9.479 * * [simplify]: Extracting #0: cost 70 inf + 0 9.480 * * [simplify]: Extracting #1: cost 613 inf + 4 9.487 * * [simplify]: Extracting #2: cost 1436 inf + 18456 9.526 * * [simplify]: Extracting #3: cost 968 inf + 195298 9.669 * * [simplify]: Extracting #4: cost 143 inf + 484777 9.853 * * [simplify]: Extracting #5: cost 3 inf + 529352 9.971 * * [simplify]: Extracting #6: cost 0 inf + 527703 10.120 * * [simplify]: Extracting #7: cost 0 inf + 526661 10.287 * * [simplify]: Extracting #8: cost 0 inf + 526381 10.491 * * [simplify]: Extracting #9: cost 0 inf + 526341 10.648 * [simplify]: Simplified to (exp (- (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))) (/ 1/2 (* N N)))), (exp (- (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))) (/ 1/2 (* N N)))), (log (- (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))) (/ 1/2 (* N N)))), (exp (- (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))) (/ 1/2 (* N N)))), (* (cbrt (- (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))) (/ 1/2 (* N N)))) (cbrt (- (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))) (/ 1/2 (* N N))))), (cbrt (- (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))) (/ 1/2 (* N N)))), (* (* (- (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))) (/ 1/2 (* N N))) (- (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))) (/ 1/2 (* N N)))) (- (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))) (/ 1/2 (* N N)))), (sqrt (- (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))) (/ 1/2 (* N N)))), (sqrt (- (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))) (/ 1/2 (* N N)))), (* (* (* N N) N) (+ (* (- N 1/2) N) 1/3)), (* (* N N) (* (* N N) (* N N))), (+ (+ 1 (* (* N N) (* N (/ -1/8 (* (* N N) (* (* N N) (* N N))))))) (+ (/ 1/3 (* N N)) (* (/ 1/2 (* N N)) (+ (/ 1/3 N) (* 1/3 (/ 1/2 (* N N))))))), (+ (/ (* (* N N) N) (* N N)) (* (* (* N N) N) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (/ 1/2 (* (* N N) N))))), (+ (+ (/ 1/6 (* N N)) (+ (/ (* (* N N) N) (* N N)) (* (* (* N N) N) (/ (/ -1/4 (* N N)) (* N N))))) (/ 1/3 N)), (+ (* (* (* N N) N) (/ 1/2 (* N N))) (/ (* (* N N) N) N)), (+ (* (* (+ (/ -1/2 (* N N)) (/ 1 N)) (+ (/ -1/2 (* N N)) (/ 1 N))) (+ (/ -1/2 (* N N)) (/ 1 N))) (/ (/ 1/27 (* (* (* N N) (* N N)) (* (* N N) (* N N)))) N)), (+ (* (/ 1/3 (* (* N N) N)) (- (/ 1/3 (* (* N N) N)) (+ (/ -1/2 (* N N)) (/ 1 N)))) (* (+ (/ -1/2 (* N N)) (/ 1 N)) (+ (/ -1/2 (* N N)) (/ 1 N)))), (- (/ 1/9 (* (* N N) (* (* N N) (* N N)))) (* (+ (/ -1/2 (* N N)) (/ 1 N)) (+ (/ -1/2 (* N N)) (/ 1 N)))), (- (/ 1/3 (* (* N N) N)) (+ (/ -1/2 (* N N)) (/ 1 N))), (- (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))) (/ 1/2 (* N N))), (- (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))) (/ 1/2 (* N N))), (- (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))) (/ 1/2 (* N N))), (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))), (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))), (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))), (real->posit16 (- (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))) (/ 1/2 (* N N)))), (log (/ 1/3 (* (* N N) N))), (log (/ 1/3 (* (* N N) N))), (log (/ 1/3 (* (* N N) N))), (log (/ 1/3 (* (* N N) N))), (exp (/ 1/3 (* (* N N) N))), (/ (/ 1/27 (* (* (* N N) (* N N)) (* (* N N) (* N N)))) N), (/ (/ 1/27 (* (* (* N N) (* N N)) (* (* N N) (* N N)))) N), (/ (/ 1/27 (* (* (* N N) (* N N)) (* (* N N) (* N N)))) N), (* (cbrt (/ 1/3 (* (* N N) N))) (cbrt (/ 1/3 (* (* N N) N)))), (cbrt (/ 1/3 (* (* N N) N))), (/ (/ 1/27 (* (* (* N N) (* N N)) (* (* N N) (* N N)))) N), (sqrt (/ 1/3 (* (* N N) N))), (sqrt (/ 1/3 (* (* N N) N))), -1/3, (- (* (* N N) N)), (* (cbrt 1/3) (/ (cbrt 1/3) N)), (/ (cbrt 1/3) (* N N)), (/ (sqrt 1/3) N), (/ (sqrt 1/3) (* N N)), (/ 1 N), (/ 1/3 (* N N)), (/ (* (/ 1 N) (/ 1 N)) N), (* (* N N) (/ N 1/3)), (/ 1/3 N), (/ N (/ (cbrt 1/3) (* N N))), (/ (* N N) (/ (sqrt 1/3) N)), (* (* N N) (/ N 1/3)), (real->posit16 (/ 1/3 (* (* N N) N))), (log (/ 1/2 (* N N))), (log (/ 1/2 (* N N))), (log (/ 1/2 (* N N))), (exp (/ 1/2 (* N N))), (/ (/ 1/8 (* (* N N) (* N N))) (* N N)), (/ (/ 1/8 (* (* N N) (* N N))) (* N N)), (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))), (cbrt (/ 1/2 (* N N))), (/ (/ 1/8 (* (* N N) (* N N))) (* N N)), (sqrt (/ 1/2 (* N N))), (sqrt (/ 1/2 (* N N))), -1/2, (* (- N) N), (* (/ (cbrt 1/2) N) (cbrt 1/2)), (/ (cbrt 1/2) N), (/ (sqrt 1/2) N), (/ (sqrt 1/2) N), (/ 1 N), (/ 1/2 N), (* (/ 1 N) (/ 1 N)), (/ N (/ 1/2 N)), (/ 1/2 N), (/ N (/ (cbrt 1/2) N)), (/ (* N N) (sqrt 1/2)), (/ N (/ 1/2 N)), (real->posit16 (/ 1/2 (* N N))), 3, 3, 3, 3, (* (* N N) N), (* (* N N) N), (* 3 (log N)), (* 3 (log N)), (* 3 (log N)), (exp (* (* N N) N)), (* (* (* (* N N) (* N N)) (* (* N N) (* N N))) N), (* (* (* (* N N) (* N N)) (* (* N N) (* N N))) N), (* N N), N, (* (* (* (* N N) (* N N)) (* (* N N) (* N N))) N), (sqrt (* (* N N) N)), (sqrt (* (* N N) N)), (* (sqrt N) N), (* (sqrt N) N), (* N N), (* (* N N) (cbrt N)), (* (sqrt N) (* N N)), (* (* N N) N), (real->posit16 (* (* N N) N)), (- (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))) (/ 1/2 (* N N))), (- (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))) (/ 1/2 (* N N))), (- (* (/ 1 N) (+ 1 (/ 1/3 (* N N)))) (/ 1/2 (* N N))), (/ 1/3 (* (* N N) N)), (/ 1/3 (* (* N N) N)), (/ 1/3 (* (* N N) N)), (/ 1/2 (* N N)), (/ 1/2 (* N N)), (/ 1/2 (* N N)), (* (* N N) N), (* (* N N) N), (* (* N N) N) 10.661 * * * [progress]: adding candidates to table 11.479 * [progress]: [Phase 3 of 3] Extracting. 11.479 * * [regime]: Finding splitpoints for: (# # # #) 11.482 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.482 * * * * [regimes]: Trying to branch on N from (# # # #) 11.525 * * * [regime]: Found split indices: #