16.465 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.069 * * * [progress]: [2/2] Setting up program. 0.072 * [progress]: [Phase 2 of 3] Improving. 0.072 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.072 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.072 * * [simplify]: iteration 0: 6 enodes 0.087 * * [simplify]: iteration 1: 11 enodes 0.090 * * [simplify]: iteration 2: 12 enodes 0.095 * * [simplify]: iteration complete: 12 enodes 0.095 * * [simplify]: Extracting #0: cost 1 inf + 0 0.095 * * [simplify]: Extracting #1: cost 4 inf + 0 0.095 * * [simplify]: Extracting #2: cost 6 inf + 0 0.095 * * [simplify]: Extracting #3: cost 4 inf + 183 0.095 * * [simplify]: Extracting #4: cost 0 inf + 560 0.095 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.096 * * [progress]: iteration 1 / 4 0.096 * * * [progress]: picking best candidate 0.100 * * * * [pick]: Picked # 0.100 * * * [progress]: localizing error 0.117 * * * [progress]: generating rewritten candidates 0.117 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.128 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.132 * * * [progress]: generating series expansions 0.132 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.133 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.133 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.133 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.133 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.133 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.133 * [taylor]: Taking taylor expansion of N in N 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [taylor]: Taking taylor expansion of 1 in N 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (+ 0 1) into 1 0.134 * [backup-simplify]: Simplify (log 1) into 0 0.134 * [taylor]: Taking taylor expansion of (log N) in N 0.134 * [taylor]: Taking taylor expansion of N in N 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (log 1) into 0 0.134 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.135 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.135 * [taylor]: Taking taylor expansion of (+ N 1) 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 * [taylor]: Taking taylor expansion of 1 in N 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (+ 0 1) into 1 0.135 * [backup-simplify]: Simplify (log 1) into 0 0.135 * [taylor]: Taking taylor expansion of (log 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 0.136 * [backup-simplify]: Simplify (log 1) into 0 0.136 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.136 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.136 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.136 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.137 * [backup-simplify]: Simplify (+ 1 0) into 1 0.138 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.138 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.139 * [backup-simplify]: Simplify (+ 1 0) into 1 0.139 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.143 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.144 * [backup-simplify]: Simplify -1/2 into -1/2 0.144 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.144 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.144 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.144 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.144 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.144 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.144 * [taylor]: Taking taylor expansion of N in N 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [taylor]: Taking taylor expansion of 1 in N 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (+ 1 0) into 1 0.145 * [backup-simplify]: Simplify (log 1) into 0 0.145 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.145 * [taylor]: Taking taylor expansion of N in N 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [backup-simplify]: Simplify (log 1) into 0 0.146 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.146 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of 1 in N 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (+ 1 0) into 1 0.147 * [backup-simplify]: Simplify (log 1) into 0 0.147 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [backup-simplify]: Simplify (log 1) into 0 0.148 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.148 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.148 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.148 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 1) into 1 0.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.151 * [backup-simplify]: Simplify (+ 1 0) into 1 0.151 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.154 * [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 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.156 * [backup-simplify]: Simplify -1/2 into -1/2 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [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 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [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 0.164 * [backup-simplify]: Simplify (- 0) into 0 0.164 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.164 * [backup-simplify]: Simplify 1/3 into 1/3 0.164 * [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)))) 0.165 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.165 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.165 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.165 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.165 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.165 * [taylor]: Taking taylor expansion of 1 in N 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [backup-simplify]: Simplify (- 1) into -1 0.166 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.166 * [backup-simplify]: Simplify (log -1) into (log -1) 0.166 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.166 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.166 * [taylor]: Taking taylor expansion of -1 in N 0.166 * [backup-simplify]: Simplify -1 into -1 0.166 * [taylor]: Taking taylor expansion of N in N 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ -1 1) into -1 0.166 * [backup-simplify]: Simplify (log -1) into (log -1) 0.166 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.166 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.166 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.166 * [taylor]: Taking taylor expansion of 1 in N 0.166 * [backup-simplify]: Simplify 1 into 1 0.167 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.167 * [backup-simplify]: Simplify (- 1) into -1 0.167 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.168 * [backup-simplify]: Simplify (log -1) into (log -1) 0.168 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.168 * [taylor]: Taking taylor expansion of (/ -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 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 0.168 * [backup-simplify]: Simplify (log -1) into (log -1) 0.169 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.169 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.169 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.170 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (- 0) into 0 0.171 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.175 * [backup-simplify]: Simplify (- 0) into 0 0.176 * [backup-simplify]: Simplify (+ -1 0) into -1 0.176 * [backup-simplify]: Simplify -1 into -1 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (- 0) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [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 0.185 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.185 * [backup-simplify]: Simplify (- 0) into 0 0.186 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.186 * [backup-simplify]: Simplify -1/2 into -1/2 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [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 0.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [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 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.206 * [backup-simplify]: Simplify -1/3 into -1/3 0.207 * [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)))) 0.207 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.207 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.207 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.207 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.207 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.207 * [taylor]: Taking taylor expansion of N in N 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [taylor]: Taking taylor expansion of 1 in N 0.207 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (+ 0 1) into 1 0.208 * [backup-simplify]: Simplify (log 1) into 0 0.208 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.208 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [taylor]: Taking taylor expansion of 1 in N 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (+ 0 1) into 1 0.210 * [backup-simplify]: Simplify (log 1) into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (+ 1 0) into 1 0.211 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.211 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.215 * [backup-simplify]: Simplify -1/2 into -1/2 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.222 * [backup-simplify]: Simplify 1/3 into 1/3 0.222 * [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))) 0.222 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.222 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.222 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.222 * [taylor]: Taking taylor expansion of N in N 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [taylor]: Taking taylor expansion of 1 in N 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (+ 1 0) into 1 0.224 * [backup-simplify]: Simplify (log 1) into 0 0.224 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.224 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.224 * [taylor]: Taking taylor expansion of N in N 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [taylor]: Taking taylor expansion of 1 in N 0.224 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (+ 1 0) into 1 0.225 * [backup-simplify]: Simplify (log 1) into 0 0.226 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.226 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (+ 0 1) into 1 0.228 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.228 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.233 * [backup-simplify]: Simplify -1/2 into -1/2 0.233 * [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)))) 0.233 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.233 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.233 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.233 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.233 * [taylor]: Taking taylor expansion of 1 in N 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.233 * [taylor]: Taking taylor expansion of N in N 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.234 * [backup-simplify]: Simplify (- 1) into -1 0.235 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.235 * [backup-simplify]: Simplify (log -1) into (log -1) 0.235 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.235 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.235 * [taylor]: Taking taylor expansion of 1 in N 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [backup-simplify]: Simplify (- 1) into -1 0.237 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.237 * [backup-simplify]: Simplify (log -1) into (log -1) 0.238 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.238 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.240 * [backup-simplify]: Simplify (+ 1 0) into 1 0.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.241 * [backup-simplify]: Simplify -1 into -1 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (- 0) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.246 * [backup-simplify]: Simplify -1/2 into -1/2 0.247 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.247 * * * [progress]: simplifying candidates 0.247 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.247 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.247 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.247 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.247 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.247 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.247 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.247 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.247 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.247 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.247 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.247 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.247 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.248 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.248 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.248 * * * * [progress]: [ 16 / 49 ] simplifiying candidate # 0.248 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.248 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.248 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.248 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.248 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.248 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.248 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.248 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.248 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.248 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.248 * * * * [progress]: [ 27 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.248 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.248 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.249 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.249 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.249 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.249 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.249 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.249 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.249 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.249 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.249 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.249 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.249 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.249 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.249 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.249 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.249 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.249 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.249 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.249 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.250 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.250 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.251 * [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)))) 0.252 * * [simplify]: iteration 0: 97 enodes 0.296 * * [simplify]: iteration 1: 199 enodes 0.394 * * [simplify]: iteration 2: 463 enodes 0.549 * * [simplify]: iteration 3: 1350 enodes 0.843 * * [simplify]: iteration 4: 2006 enodes 1.142 * * [simplify]: iteration complete: 2006 enodes 1.143 * * [simplify]: Extracting #0: cost 42 inf + 0 1.144 * * [simplify]: Extracting #1: cost 207 inf + 1 1.147 * * [simplify]: Extracting #2: cost 469 inf + 868 1.154 * * [simplify]: Extracting #3: cost 434 inf + 20839 1.187 * * [simplify]: Extracting #4: cost 137 inf + 89967 1.214 * * [simplify]: Extracting #5: cost 55 inf + 116652 1.231 * * [simplify]: Extracting #6: cost 14 inf + 123267 1.262 * * [simplify]: Extracting #7: cost 0 inf + 127159 1.300 * [simplify]: Simplified to: (/ (+ N 1) N) (log (- (log (+ N 1)) (log N))) (/ (+ N 1) 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))) (- (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) (* (* (log N) (log N)) (log N))) (+ (* (log N) (+ (log N) (log (+ N 1)))) (* (log (+ N 1)) (log (+ N 1)))) (- (log N)) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (+ (log N) (log (+ N 1))) (+ (sqrt (log N)) (sqrt (log (+ N 1)))) (- (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))) (log (cbrt N))) (- (log (+ N 1)) (log (sqrt N))) (log (+ N 1)) (- (log (cbrt (+ N 1))) (log N)) (- (log (sqrt (+ N 1))) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (+ (log (+ (- 1 N) (* N N))) (log N)) (+ (log N) (log (- N 1))) (- (log N)) (real->posit16 (- (log (+ N 1)) (log N))) (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) 0 (log (+ N 1)) 0 (log (+ N 1)) (log (+ 1 (* (* N N) N))) (log (+ (- 1 N) (* N N))) (log (+ -1 (* N N))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (+ 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)) (* (* N N) -1/2)) (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (+ N (* (* N N) (- (* 1/3 N) 1/2))) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (log N)) (+ (+ (+ 0 (log N)) (/ -1/2 (* N N))) (/ 1 N)) 1.304 * * * [progress]: adding candidates to table 1.484 * * [progress]: iteration 2 / 4 1.484 * * * [progress]: picking best candidate 1.488 * * * * [pick]: Picked # 1.489 * * * [progress]: localizing error 1.498 * * * [progress]: generating rewritten candidates 1.498 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.503 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.519 * * * [progress]: generating series expansions 1.519 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.520 * [backup-simplify]: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 1.520 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1.520 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1.520 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 1.520 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.520 * [taylor]: Taking taylor expansion of N in N 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 1 into 1 1.520 * [taylor]: Taking taylor expansion of 1 in N 1.520 * [backup-simplify]: Simplify 1 into 1 1.520 * [taylor]: Taking taylor expansion of N in N 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 1 into 1 1.521 * [backup-simplify]: Simplify (+ 0 1) into 1 1.521 * [backup-simplify]: Simplify (/ 1 1) into 1 1.522 * [backup-simplify]: Simplify (log 1) into 0 1.522 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1.522 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 1.522 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.522 * [taylor]: Taking taylor expansion of N in N 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify 1 into 1 1.522 * [taylor]: Taking taylor expansion of 1 in N 1.522 * [backup-simplify]: Simplify 1 into 1 1.522 * [taylor]: Taking taylor expansion of N in N 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify 1 into 1 1.522 * [backup-simplify]: Simplify (+ 0 1) into 1 1.523 * [backup-simplify]: Simplify (/ 1 1) into 1 1.523 * [backup-simplify]: Simplify (log 1) into 0 1.524 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.524 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.524 * [backup-simplify]: Simplify (+ 1 0) into 1 1.525 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1.525 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.525 * [backup-simplify]: Simplify 1 into 1 1.526 * [backup-simplify]: Simplify (+ 0 0) into 0 1.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.528 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.528 * [backup-simplify]: Simplify -1/2 into -1/2 1.528 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1.528 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1.528 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1.528 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1.528 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1.528 * [taylor]: Taking taylor expansion of N in N 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 1 into 1 1.528 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.528 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.528 * [taylor]: Taking taylor expansion of N in N 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 1 into 1 1.529 * [backup-simplify]: Simplify (/ 1 1) into 1 1.529 * [taylor]: Taking taylor expansion of 1 in N 1.529 * [backup-simplify]: Simplify 1 into 1 1.529 * [backup-simplify]: Simplify (+ 1 0) into 1 1.529 * [backup-simplify]: Simplify (* 0 1) into 0 1.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.530 * [backup-simplify]: Simplify (+ 0 1) into 1 1.531 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 1.531 * [backup-simplify]: Simplify (log 1) into 0 1.531 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1.531 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1.531 * [taylor]: Taking taylor expansion of N in N 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 1 into 1 1.531 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.531 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.531 * [taylor]: Taking taylor expansion of N in N 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 1 into 1 1.532 * [backup-simplify]: Simplify (/ 1 1) into 1 1.532 * [taylor]: Taking taylor expansion of 1 in N 1.532 * [backup-simplify]: Simplify 1 into 1 1.532 * [backup-simplify]: Simplify (+ 1 0) into 1 1.532 * [backup-simplify]: Simplify (* 0 1) into 0 1.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.533 * [backup-simplify]: Simplify (+ 0 1) into 1 1.534 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 1.534 * [backup-simplify]: Simplify (log 1) into 0 1.534 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.535 * [backup-simplify]: Simplify (+ 0 0) into 0 1.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1.544 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.544 * [backup-simplify]: Simplify 1 into 1 1.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.545 * [backup-simplify]: Simplify (+ 0 0) into 0 1.546 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1.548 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.548 * [backup-simplify]: Simplify -1/2 into -1/2 1.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.549 * [backup-simplify]: Simplify (+ 0 0) into 0 1.550 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1.553 * [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 1.553 * [backup-simplify]: Simplify 1/3 into 1/3 1.553 * [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)))) 1.553 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1.553 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1.553 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1.553 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1.553 * [taylor]: Taking taylor expansion of -1 in N 1.553 * [backup-simplify]: Simplify -1 into -1 1.553 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1.553 * [taylor]: Taking taylor expansion of N in N 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.553 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.553 * [taylor]: Taking taylor expansion of 1 in N 1.553 * [backup-simplify]: Simplify 1 into 1 1.553 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.553 * [taylor]: Taking taylor expansion of N in N 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (/ 1 1) into 1 1.554 * [backup-simplify]: Simplify (- 1) into -1 1.554 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.555 * [backup-simplify]: Simplify (* 0 -1) into 0 1.555 * [backup-simplify]: Simplify (* -1 0) into 0 1.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.555 * [backup-simplify]: Simplify (- 0) into 0 1.556 * [backup-simplify]: Simplify (+ 1 0) into 1 1.556 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 1.557 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.557 * [backup-simplify]: Simplify (log 1) into 0 1.557 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1.557 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1.557 * [taylor]: Taking taylor expansion of -1 in N 1.557 * [backup-simplify]: Simplify -1 into -1 1.557 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1.557 * [taylor]: Taking taylor expansion of N in N 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 1 into 1 1.557 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.557 * [taylor]: Taking taylor expansion of 1 in N 1.557 * [backup-simplify]: Simplify 1 into 1 1.557 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.557 * [taylor]: Taking taylor expansion of N in N 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 1 into 1 1.557 * [backup-simplify]: Simplify (/ 1 1) into 1 1.558 * [backup-simplify]: Simplify (- 1) into -1 1.558 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.558 * [backup-simplify]: Simplify (* 0 -1) into 0 1.558 * [backup-simplify]: Simplify (* -1 0) into 0 1.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.559 * [backup-simplify]: Simplify (- 0) into 0 1.559 * [backup-simplify]: Simplify (+ 1 0) into 1 1.560 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 1.560 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.560 * [backup-simplify]: Simplify (log 1) into 0 1.560 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.561 * [backup-simplify]: Simplify (- 0) into 0 1.561 * [backup-simplify]: Simplify (+ 0 0) into 0 1.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1.563 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1.563 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1.563 * [backup-simplify]: Simplify -1 into -1 1.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.564 * [backup-simplify]: Simplify (- 0) into 0 1.565 * [backup-simplify]: Simplify (+ 0 0) into 0 1.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1.566 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1.567 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.568 * [backup-simplify]: Simplify -1/2 into -1/2 1.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (- 0) into 0 1.569 * [backup-simplify]: Simplify (+ 0 0) into 0 1.569 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1.570 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1.573 * [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 1.573 * [backup-simplify]: Simplify -1/3 into -1/3 1.573 * [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)))) 1.573 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.573 * [backup-simplify]: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 1.573 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 1.573 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 1.574 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.574 * [taylor]: Taking taylor expansion of N in N 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.574 * [taylor]: Taking taylor expansion of 1 in N 1.574 * [backup-simplify]: Simplify 1 into 1 1.574 * [taylor]: Taking taylor expansion of N in N 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.574 * [backup-simplify]: Simplify (+ 0 1) into 1 1.574 * [backup-simplify]: Simplify (/ 1 1) into 1 1.574 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 1.574 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.574 * [taylor]: Taking taylor expansion of N in N 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.574 * [taylor]: Taking taylor expansion of 1 in N 1.574 * [backup-simplify]: Simplify 1 into 1 1.574 * [taylor]: Taking taylor expansion of N in N 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.575 * [backup-simplify]: Simplify (+ 0 1) into 1 1.575 * [backup-simplify]: Simplify (/ 1 1) into 1 1.575 * [backup-simplify]: Simplify 1 into 1 1.575 * [backup-simplify]: Simplify (+ 1 0) into 1 1.576 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1.576 * [backup-simplify]: Simplify 1 into 1 1.576 * [backup-simplify]: Simplify (+ 0 0) into 0 1.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify (+ 0 0) into 0 1.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.577 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify (+ 0 0) into 0 1.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify (+ 0 0) into 0 1.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify (+ 0 0) into 0 1.580 * [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 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify (+ 0 0) into 0 1.581 * [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 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 1.581 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 1.581 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 1.581 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1.581 * [taylor]: Taking taylor expansion of N in N 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 1 into 1 1.581 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.581 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.581 * [taylor]: Taking taylor expansion of N in N 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 1 into 1 1.581 * [backup-simplify]: Simplify (/ 1 1) into 1 1.581 * [taylor]: Taking taylor expansion of 1 in N 1.581 * [backup-simplify]: Simplify 1 into 1 1.581 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1.581 * [taylor]: Taking taylor expansion of N in N 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 1 into 1 1.581 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.581 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.581 * [taylor]: Taking taylor expansion of N in N 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 1 into 1 1.582 * [backup-simplify]: Simplify (/ 1 1) into 1 1.582 * [taylor]: Taking taylor expansion of 1 in N 1.582 * [backup-simplify]: Simplify 1 into 1 1.582 * [backup-simplify]: Simplify (+ 1 0) into 1 1.582 * [backup-simplify]: Simplify (* 0 1) into 0 1.582 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.583 * [backup-simplify]: Simplify (+ 0 1) into 1 1.584 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 1.584 * [backup-simplify]: Simplify 1 into 1 1.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.584 * [backup-simplify]: Simplify (+ 0 0) into 0 1.585 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1.585 * [backup-simplify]: Simplify 1 into 1 1.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.586 * [backup-simplify]: Simplify (+ 0 0) into 0 1.586 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1.586 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.587 * [backup-simplify]: Simplify (+ 0 0) into 0 1.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.589 * [backup-simplify]: Simplify (+ 0 0) into 0 1.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 1.589 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.590 * [backup-simplify]: Simplify (+ 0 0) into 0 1.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 1.591 * [backup-simplify]: Simplify 0 into 0 1.592 * [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 1.592 * [backup-simplify]: Simplify (+ 0 0) into 0 1.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 1.593 * [backup-simplify]: Simplify 0 into 0 1.594 * [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 1.594 * [backup-simplify]: Simplify (+ 0 0) into 0 1.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 1.595 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 1.596 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 1.596 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1.596 * [taylor]: Taking taylor expansion of -1 in N 1.596 * [backup-simplify]: Simplify -1 into -1 1.596 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1.596 * [taylor]: Taking taylor expansion of N in N 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.596 * [taylor]: Taking taylor expansion of 1 in N 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.596 * [taylor]: Taking taylor expansion of N in N 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [backup-simplify]: Simplify (/ 1 1) into 1 1.596 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1.596 * [taylor]: Taking taylor expansion of -1 in N 1.596 * [backup-simplify]: Simplify -1 into -1 1.596 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1.596 * [taylor]: Taking taylor expansion of N in N 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.597 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.597 * [taylor]: Taking taylor expansion of 1 in N 1.597 * [backup-simplify]: Simplify 1 into 1 1.597 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.597 * [taylor]: Taking taylor expansion of N in N 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify 1 into 1 1.597 * [backup-simplify]: Simplify (/ 1 1) into 1 1.597 * [backup-simplify]: Simplify (- 1) into -1 1.598 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.598 * [backup-simplify]: Simplify (* 0 -1) into 0 1.599 * [backup-simplify]: Simplify (* -1 0) into 0 1.599 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.600 * [backup-simplify]: Simplify (- 0) into 0 1.601 * [backup-simplify]: Simplify (+ 1 0) into 1 1.601 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 1.602 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.602 * [backup-simplify]: Simplify 1 into 1 1.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.603 * [backup-simplify]: Simplify (- 0) into 0 1.604 * [backup-simplify]: Simplify (+ 0 0) into 0 1.605 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1.606 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1.606 * [backup-simplify]: Simplify -1 into -1 1.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.607 * [backup-simplify]: Simplify (- 0) into 0 1.608 * [backup-simplify]: Simplify (+ 0 0) into 0 1.609 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1.610 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1.610 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.612 * [backup-simplify]: Simplify (- 0) into 0 1.612 * [backup-simplify]: Simplify (+ 0 0) into 0 1.614 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1.615 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1.615 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.617 * [backup-simplify]: Simplify (- 0) into 0 1.617 * [backup-simplify]: Simplify (+ 0 0) into 0 1.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1.620 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 1.620 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.622 * [backup-simplify]: Simplify (- 0) into 0 1.622 * [backup-simplify]: Simplify (+ 0 0) into 0 1.624 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1.626 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.627 * [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 1.628 * [backup-simplify]: Simplify (- 0) into 0 1.628 * [backup-simplify]: Simplify (+ 0 0) into 0 1.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1.632 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 1.632 * [backup-simplify]: Simplify 0 into 0 1.633 * [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 1.633 * [backup-simplify]: Simplify (- 0) into 0 1.633 * [backup-simplify]: Simplify (+ 0 0) into 0 1.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 1.635 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 1.635 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 1.636 * * * [progress]: simplifying candidates 1.636 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 1.636 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 1.636 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 1.636 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 1.636 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 1.636 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 1.636 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 1.636 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 1.636 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 1.636 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 1.636 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 1.636 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 1.636 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 1.636 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 1.636 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 1.636 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 1.636 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 1.636 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 1.636 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 1.636 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 1.636 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 1.636 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ N 1) N)))))> 1.637 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 1.637 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 1.638 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 1.638 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 1.638 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 1.638 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 1.638 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 1.638 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 1.638 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 1.638 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 1.638 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 1.638 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ N 1) N)))))> 1.638 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 1.638 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 1.638 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 1.638 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 1.638 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 1.638 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 1.639 * [simplify]: Simplifying: (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 1))) (* (cbrt N) (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))) 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)) 1)) (log (/ (sqrt (+ N 1)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log 1) (log (/ (+ N 1) N)) (log (+ N 1)) (log (/ 1 N)) (log (+ N 1)) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (exp (log (/ (+ 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)) (log N)) (log (/ (+ N 1) N)) (exp (/ (+ N 1) N)) (/ (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) 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)) (- (+ N 1)) (- N) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (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))) 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)) 1) (/ (sqrt (+ N 1)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (+ N 1) (* (cbrt N) (cbrt N))) (/ (+ N 1) (sqrt N)) (/ (+ N 1) 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (* N (+ (* N N) (- (* 1 1) (* N 1)))) (* N (- N 1)) (real->posit16 (/ (+ N 1) 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) 1.639 * * [simplify]: iteration 0: 102 enodes 1.667 * * [simplify]: iteration 1: 233 enodes 1.742 * * [simplify]: iteration 2: 620 enodes 1.950 * * [simplify]: iteration 3: 2000 enodes 2.318 * * [simplify]: iteration complete: 2000 enodes 2.318 * * [simplify]: Extracting #0: cost 66 inf + 0 2.318 * * [simplify]: Extracting #1: cost 319 inf + 2 2.320 * * [simplify]: Extracting #2: cost 729 inf + 490 2.327 * * [simplify]: Extracting #3: cost 517 inf + 38625 2.343 * * [simplify]: Extracting #4: cost 94 inf + 114118 2.380 * * [simplify]: Extracting #5: cost 8 inf + 130573 2.417 * * [simplify]: Extracting #6: cost 0 inf + 132597 2.446 * [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)) (/ (sqrt N) (cbrt (+ N 1))))) (log (/ (cbrt (+ N 1)) (sqrt N))) (+ (log (cbrt (+ N 1))) (log (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)) (+ (- N) -1) (- N) (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (/ (sqrt N) (cbrt (+ N 1)))) (/ (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 (+ (- 1 N) (* N N))) (* (+ -1 N) N) (real->posit16 (/ (+ N 1) N)) (- (- N (log N)) (* 1/2 (* N N))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) 2.449 * * * [progress]: adding candidates to table 2.664 * * [progress]: iteration 3 / 4 2.665 * * * [progress]: picking best candidate 2.669 * * * * [pick]: Picked # 2.669 * * * [progress]: localizing error 2.700 * * * [progress]: generating rewritten candidates 2.700 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.778 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.807 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.816 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2) 2.826 * * * [progress]: generating series expansions 2.826 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.826 * [backup-simplify]: Simplify (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N)))) into (+ (log (* (pow (+ N 1) 1/3) (sqrt (/ 1 N)))) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))))) 2.827 * [approximate]: Taking taylor expansion of (+ (log (* (pow (+ N 1) 1/3) (sqrt (/ 1 N)))) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))))) in (N) around 0 2.827 * [taylor]: Taking taylor expansion of (+ (log (* (pow (+ N 1) 1/3) (sqrt (/ 1 N)))) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))))) in N 2.827 * [taylor]: Taking taylor expansion of (log (* (pow (+ N 1) 1/3) (sqrt (/ 1 N)))) in N 2.827 * [taylor]: Taking taylor expansion of (* (pow (+ N 1) 1/3) (sqrt (/ 1 N))) in N 2.827 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 2.827 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 2.827 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 2.827 * [taylor]: Taking taylor expansion of 1/3 in N 2.827 * [backup-simplify]: Simplify 1/3 into 1/3 2.827 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.827 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.827 * [taylor]: Taking taylor expansion of N in N 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 1 into 1 2.827 * [taylor]: Taking taylor expansion of 1 in N 2.827 * [backup-simplify]: Simplify 1 into 1 2.828 * [backup-simplify]: Simplify (+ 0 1) into 1 2.828 * [backup-simplify]: Simplify (log 1) into 0 2.829 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.829 * [backup-simplify]: Simplify (+ 1 0) into 1 2.831 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.831 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.832 * [backup-simplify]: Simplify (exp 0) into 1 2.832 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 2.832 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.832 * [taylor]: Taking taylor expansion of N in N 2.832 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify 1 into 1 2.832 * [backup-simplify]: Simplify (/ 1 1) into 1 2.833 * [backup-simplify]: Simplify (sqrt 0) into 0 2.834 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.835 * [backup-simplify]: Simplify (* 1 0) into 0 2.836 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 2.838 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 1/3 0)) into (- +nan.0) 2.839 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.839 * [taylor]: Taking taylor expansion of (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N)))) in N 2.839 * [taylor]: Taking taylor expansion of (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) in N 2.839 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 2.839 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 2.839 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 2.839 * [taylor]: Taking taylor expansion of 1/3 in N 2.839 * [backup-simplify]: Simplify 1/3 into 1/3 2.839 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 2.839 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 2.839 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.839 * [taylor]: Taking taylor expansion of N in N 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 1 into 1 2.839 * [taylor]: Taking taylor expansion of 1 in N 2.839 * [backup-simplify]: Simplify 1 into 1 2.840 * [backup-simplify]: Simplify (+ 0 1) into 1 2.840 * [backup-simplify]: Simplify (* 1 1) into 1 2.841 * [backup-simplify]: Simplify (log 1) into 0 2.841 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.841 * [backup-simplify]: Simplify (+ 1 0) into 1 2.842 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 2.843 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 2.844 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 2.844 * [backup-simplify]: Simplify (exp 0) into 1 2.844 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 2.844 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.844 * [taylor]: Taking taylor expansion of N in N 2.844 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify 1 into 1 2.845 * [backup-simplify]: Simplify (/ 1 1) into 1 2.845 * [backup-simplify]: Simplify (sqrt 0) into 0 2.846 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.847 * [backup-simplify]: Simplify (* 1 0) into 0 2.848 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 1) 1)))) into 2/3 2.849 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 2/3 0)) into (- +nan.0) 2.850 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.850 * [taylor]: Taking taylor expansion of (+ (log (* (pow (+ N 1) 1/3) (sqrt (/ 1 N)))) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))))) in N 2.850 * [taylor]: Taking taylor expansion of (log (* (pow (+ N 1) 1/3) (sqrt (/ 1 N)))) in N 2.850 * [taylor]: Taking taylor expansion of (* (pow (+ N 1) 1/3) (sqrt (/ 1 N))) in N 2.850 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 2.850 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 2.850 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 2.850 * [taylor]: Taking taylor expansion of 1/3 in N 2.850 * [backup-simplify]: Simplify 1/3 into 1/3 2.850 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.850 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.851 * [taylor]: Taking taylor expansion of N in N 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 1 into 1 2.851 * [taylor]: Taking taylor expansion of 1 in N 2.851 * [backup-simplify]: Simplify 1 into 1 2.852 * [backup-simplify]: Simplify (+ 0 1) into 1 2.852 * [backup-simplify]: Simplify (log 1) into 0 2.853 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.853 * [backup-simplify]: Simplify (+ 1 0) into 1 2.855 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.855 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.856 * [backup-simplify]: Simplify (exp 0) into 1 2.856 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 2.856 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.856 * [taylor]: Taking taylor expansion of N in N 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 1 into 1 2.856 * [backup-simplify]: Simplify (/ 1 1) into 1 2.857 * [backup-simplify]: Simplify (sqrt 0) into 0 2.858 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.859 * [backup-simplify]: Simplify (* 1 0) into 0 2.860 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 2.861 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 1/3 0)) into (- +nan.0) 2.862 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.862 * [taylor]: Taking taylor expansion of (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N)))) in N 2.862 * [taylor]: Taking taylor expansion of (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) in N 2.862 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 2.862 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 2.862 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 2.862 * [taylor]: Taking taylor expansion of 1/3 in N 2.862 * [backup-simplify]: Simplify 1/3 into 1/3 2.862 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 2.862 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 2.863 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.863 * [taylor]: Taking taylor expansion of N in N 2.863 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify 1 into 1 2.863 * [taylor]: Taking taylor expansion of 1 in N 2.863 * [backup-simplify]: Simplify 1 into 1 2.863 * [backup-simplify]: Simplify (+ 0 1) into 1 2.863 * [backup-simplify]: Simplify (* 1 1) into 1 2.864 * [backup-simplify]: Simplify (log 1) into 0 2.864 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.865 * [backup-simplify]: Simplify (+ 1 0) into 1 2.865 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 2.867 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 2.867 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 2.867 * [backup-simplify]: Simplify (exp 0) into 1 2.867 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 2.867 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.868 * [taylor]: Taking taylor expansion of N in N 2.868 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify 1 into 1 2.868 * [backup-simplify]: Simplify (/ 1 1) into 1 2.868 * [backup-simplify]: Simplify (sqrt 0) into 0 2.870 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.870 * [backup-simplify]: Simplify (* 1 0) into 0 2.871 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 1) 1)))) into 2/3 2.873 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 2/3 0)) into (- +nan.0) 2.874 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 2.876 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (log (- +nan.0))) into (* 2 (log (- +nan.0))) 2.877 * [backup-simplify]: Simplify (* 2 (log (- +nan.0))) into (* 2 (log (- +nan.0))) 2.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.882 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.882 * [backup-simplify]: Simplify (+ 0 0) into 0 2.885 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.886 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 2.888 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 2.891 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1/3 +nan.0) (* -1/9 0))) into (- +nan.0) 2.896 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 2.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.898 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.898 * [backup-simplify]: Simplify (+ 0 0) into 0 2.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 2.900 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 2.901 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 0))) into -1/3 2.902 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow -1/3 1) 1)))) into -1/9 2.903 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 2/3 +nan.0) (* -1/9 0))) into (- +nan.0) 2.908 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 2.908 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.908 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.911 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.912 * [backup-simplify]: Simplify (+ 0 0) into 0 2.914 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 2.915 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into 1/9 2.917 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 3) 6)) (* (/ (pow 1/3 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow 1/9 1) 1)))) into 5/81 2.921 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1/3 +nan.0) (+ (* -1/9 +nan.0) (* 5/81 0)))) into (- +nan.0) 2.942 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 2.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.947 * [backup-simplify]: Simplify (+ 0 0) into 0 2.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.952 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 2) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 2/3 2.953 * [backup-simplify]: Simplify (+ (* 1/3 2/3) (+ (* 0 -1) (+ (* 0 2) (* 0 0)))) into 2/9 2.955 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 3) 6)) (* (/ (pow 2/3 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow 2/9 1) 1)))) into 4/81 2.959 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 2/3 +nan.0) (+ (* -1/9 +nan.0) (* 4/81 0)))) into (- +nan.0) 2.969 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 2.969 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.969 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.971 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (* 2 (log (- +nan.0))))) into (- (* 2 (log (- +nan.0))) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 2.971 * [backup-simplify]: Simplify (+ (log (/ (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) (sqrt (/ 1 N)))) (log (/ (cbrt (+ (/ 1 N) 1)) (sqrt (/ 1 N))))) into (+ (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) (log (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)))) 2.972 * [approximate]: Taking taylor expansion of (+ (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) (log (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)))) in (N) around 0 2.972 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) (log (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)))) in N 2.972 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) in N 2.972 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) in N 2.972 * [taylor]: Taking taylor expansion of (sqrt N) in N 2.972 * [taylor]: Taking taylor expansion of N in N 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 1 into 1 2.972 * [backup-simplify]: Simplify (sqrt 0) into 0 2.973 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.973 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 2.973 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 2.973 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 2.973 * [taylor]: Taking taylor expansion of 1/3 in N 2.973 * [backup-simplify]: Simplify 1/3 into 1/3 2.973 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 2.973 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 2.973 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.973 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.973 * [taylor]: Taking taylor expansion of N in N 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [backup-simplify]: Simplify (/ 1 1) into 1 2.973 * [taylor]: Taking taylor expansion of 1 in N 2.973 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (+ 1 0) into 1 2.974 * [backup-simplify]: Simplify (* 1 1) into 1 2.974 * [backup-simplify]: Simplify (log 1) into 0 2.974 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.975 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 2.975 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 2.975 * [backup-simplify]: Simplify (* 0 (pow N -2/3)) into 0 2.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.975 * [backup-simplify]: Simplify (+ 0 1) into 1 2.976 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 2.976 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 2.977 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.977 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 2 (log N))))) into 2/3 2.978 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) 2.978 * [backup-simplify]: Simplify (+ (* 0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 2.978 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) into (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 2.978 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3))) in N 2.978 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)) in N 2.978 * [taylor]: Taking taylor expansion of (sqrt N) in N 2.978 * [taylor]: Taking taylor expansion of N in N 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [backup-simplify]: Simplify (sqrt 0) into 0 2.979 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.979 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 2.979 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 2.979 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 2.979 * [taylor]: Taking taylor expansion of 1/3 in N 2.979 * [backup-simplify]: Simplify 1/3 into 1/3 2.979 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 2.979 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.979 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.979 * [taylor]: Taking taylor expansion of N in N 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (/ 1 1) into 1 2.980 * [taylor]: Taking taylor expansion of 1 in N 2.980 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (+ 1 0) into 1 2.981 * [backup-simplify]: Simplify (log 1) into 0 2.981 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.981 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.982 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.982 * [backup-simplify]: Simplify (* 0 (pow N -1/3)) into 0 2.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify (+ 0 1) into 1 2.984 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.985 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.985 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 2.986 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 2.987 * [backup-simplify]: Simplify (+ (* 0 (* 1/3 (pow (/ 1 N) 1/3))) (* +nan.0 (pow N -1/3))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 2.987 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (/ 1 N) 1/3)))) into (log (- (* +nan.0 (pow (/ 1 N) 1/3)))) 2.987 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) (log (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)))) in N 2.987 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) in N 2.987 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) in N 2.987 * [taylor]: Taking taylor expansion of (sqrt N) in N 2.987 * [taylor]: Taking taylor expansion of N in N 2.987 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify 1 into 1 2.987 * [backup-simplify]: Simplify (sqrt 0) into 0 2.989 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.989 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 2.989 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 2.989 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 2.989 * [taylor]: Taking taylor expansion of 1/3 in N 2.989 * [backup-simplify]: Simplify 1/3 into 1/3 2.989 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 2.989 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 2.989 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.989 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.989 * [taylor]: Taking taylor expansion of N in N 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify 1 into 1 2.990 * [backup-simplify]: Simplify (/ 1 1) into 1 2.990 * [taylor]: Taking taylor expansion of 1 in N 2.990 * [backup-simplify]: Simplify 1 into 1 2.990 * [backup-simplify]: Simplify (+ 1 0) into 1 2.991 * [backup-simplify]: Simplify (* 1 1) into 1 2.991 * [backup-simplify]: Simplify (log 1) into 0 2.991 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.992 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 2.992 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 2.992 * [backup-simplify]: Simplify (* 0 (pow N -2/3)) into 0 2.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.993 * [backup-simplify]: Simplify (+ 0 1) into 1 2.994 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 2.995 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 2.995 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.996 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 2 (log N))))) into 2/3 2.997 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) 2.997 * [backup-simplify]: Simplify (+ (* 0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 2.997 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) into (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 2.997 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3))) in N 2.997 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)) in N 2.997 * [taylor]: Taking taylor expansion of (sqrt N) in N 2.997 * [taylor]: Taking taylor expansion of N in N 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 1 into 1 2.998 * [backup-simplify]: Simplify (sqrt 0) into 0 2.999 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.999 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 3.000 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 3.000 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 3.000 * [taylor]: Taking taylor expansion of 1/3 in N 3.000 * [backup-simplify]: Simplify 1/3 into 1/3 3.000 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 3.000 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.000 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.000 * [taylor]: Taking taylor expansion of N in N 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 1 into 1 3.000 * [backup-simplify]: Simplify (/ 1 1) into 1 3.000 * [taylor]: Taking taylor expansion of 1 in N 3.000 * [backup-simplify]: Simplify 1 into 1 3.001 * [backup-simplify]: Simplify (+ 1 0) into 1 3.001 * [backup-simplify]: Simplify (log 1) into 0 3.002 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.002 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.002 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.002 * [backup-simplify]: Simplify (* 0 (pow N -1/3)) into 0 3.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.004 * [backup-simplify]: Simplify (+ 0 1) into 1 3.005 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.005 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.006 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 3.007 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 3.007 * [backup-simplify]: Simplify (+ (* 0 (* 1/3 (pow (/ 1 N) 1/3))) (* +nan.0 (pow N -1/3))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 3.007 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (/ 1 N) 1/3)))) into (log (- (* +nan.0 (pow (/ 1 N) 1/3)))) 3.008 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) into (+ (log N) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) 3.009 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- (* +nan.0 (pow (/ 1 N) 1/3))))) into (+ (log N) (log (- (* +nan.0 (pow (/ 1 N) 1/3))))) 3.009 * [backup-simplify]: Simplify (+ (+ (log N) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) (+ (log N) (log (- (* +nan.0 (pow (/ 1 N) 1/3)))))) into (+ (* 2 (log N)) (+ (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) (log (- (* +nan.0 (pow (/ 1 N) 1/3)))))) 3.009 * [backup-simplify]: Simplify (+ (* 2 (log N)) (+ (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) (log (- (* +nan.0 (pow (/ 1 N) 1/3)))))) into (+ (* 2 (log N)) (+ (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) (log (- (* +nan.0 (pow (/ 1 N) 1/3)))))) 3.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.011 * [backup-simplify]: Simplify (+ 0 0) into 0 3.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 3.014 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 3.015 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.016 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 3.017 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 3.021 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.021 * [backup-simplify]: Simplify (+ (* 0 (* -1/9 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3)))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 3.022 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 1)))) 1) into +nan.0 3.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.023 * [backup-simplify]: Simplify (+ 0 0) into 0 3.025 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.026 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.027 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 3.028 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) 3.032 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.032 * [backup-simplify]: Simplify (+ (* 0 (* -1/9 (pow (/ 1 N) 1/3))) (+ (* +nan.0 (* 1/3 (pow (/ 1 N) 1/3))) (* +nan.0 (pow N -1/3)))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 3.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 N) 1/3)))) 1)) (pow (- (* +nan.0 (pow (/ 1 N) 1/3))) 1)))) 1) into +nan.0 3.033 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.033 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.035 * [backup-simplify]: Simplify (+ 0 0) into 0 3.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.041 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 2) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 2/3 3.041 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.043 * [backup-simplify]: Simplify (+ (* 1/3 2/3) (+ (* 0 -1) (+ (* 0 2) (* 0 (- (* 2 (log N))))))) into 2/9 3.046 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 3) 6)) (* (/ (pow 2/3 1) 1) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 2/9 1) 1)))) into (* 4/81 (pow (/ 1 (pow N 2)) 1/3)) 3.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.051 * [backup-simplify]: Simplify (+ (* 0 (* 4/81 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* -1/9 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3))))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 3.052 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 2)) (pow (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 1)))) 2) into +nan.0 3.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.053 * [backup-simplify]: Simplify (+ 0 0) into 0 3.060 * [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 3.061 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.062 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (- (log N)))))) into 1/9 3.065 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 3) 6)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/6) 1) 1)) (* (/ (pow 1/9 1) 1)))) into (* 5/81 (pow (/ 1 N) 1/3)) 3.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.070 * [backup-simplify]: Simplify (+ (* 0 (* 5/81 (pow (/ 1 N) 1/3))) (+ (* +nan.0 (* -1/9 (pow (/ 1 N) 1/3))) (+ (* +nan.0 (* 1/3 (pow (/ 1 N) 1/3))) (* +nan.0 (pow N -1/3))))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 3.071 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 N) 1/3)))) 2)) (pow (- (* +nan.0 (pow (/ 1 N) 1/3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (pow (/ 1 N) 1/3)))) 1)) (pow (- (* +nan.0 (pow (/ 1 N) 1/3))) 1)))) 2) into +nan.0 3.072 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.072 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.074 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (* 2 (log (/ 1 N))) (+ (log (- (* +nan.0 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)))) (log (- (* +nan.0 (pow (/ 1 (/ 1 N)) 1/3)))))))) into (- (+ (* 2 (log (/ 1 N))) (+ (log (- (* +nan.0 (pow N 1/3)))) (log (- (* +nan.0 (pow (pow N 2) 1/3)))))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 3.074 * [backup-simplify]: Simplify (+ (log (/ (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) (sqrt (/ 1 (- N))))) (log (/ (cbrt (+ (/ 1 (- N)) 1)) (sqrt (/ 1 (- N)))))) into (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) (log (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))))) 3.074 * [approximate]: Taking taylor expansion of (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) (log (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))))) in (N) around 0 3.074 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) (log (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))))) in N 3.074 * [taylor]: Taking taylor expansion of (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) in N 3.074 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 3.074 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 3.074 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 3.074 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 3.074 * [taylor]: Taking taylor expansion of 1/3 in N 3.075 * [backup-simplify]: Simplify 1/3 into 1/3 3.075 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 3.075 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 3.075 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.075 * [taylor]: Taking taylor expansion of 1 in N 3.075 * [backup-simplify]: Simplify 1 into 1 3.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.075 * [taylor]: Taking taylor expansion of N in N 3.075 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify 1 into 1 3.075 * [backup-simplify]: Simplify (/ 1 1) into 1 3.076 * [backup-simplify]: Simplify (- 1) into -1 3.076 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.076 * [backup-simplify]: Simplify (* -1 -1) into 1 3.077 * [backup-simplify]: Simplify (log 1) into 0 3.077 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.077 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.077 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.077 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 3.077 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 3.078 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.078 * [taylor]: Taking taylor expansion of -1 in N 3.078 * [backup-simplify]: Simplify -1 into -1 3.078 * [taylor]: Taking taylor expansion of N in N 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify 1 into 1 3.078 * [backup-simplify]: Simplify (/ -1 1) into -1 3.079 * [backup-simplify]: Simplify (sqrt 0) into 0 3.080 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.080 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 3.080 * [backup-simplify]: Simplify (* (pow N -2/3) +nan.0) into (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 3.080 * [backup-simplify]: Simplify (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 3.080 * [taylor]: Taking taylor expansion of (log (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N))))) in N 3.080 * [taylor]: Taking taylor expansion of (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 3.080 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 3.080 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 3.080 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 3.080 * [taylor]: Taking taylor expansion of 1/3 in N 3.080 * [backup-simplify]: Simplify 1/3 into 1/3 3.080 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 3.080 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.080 * [taylor]: Taking taylor expansion of 1 in N 3.080 * [backup-simplify]: Simplify 1 into 1 3.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.080 * [taylor]: Taking taylor expansion of N in N 3.080 * [backup-simplify]: Simplify 0 into 0 3.080 * [backup-simplify]: Simplify 1 into 1 3.081 * [backup-simplify]: Simplify (/ 1 1) into 1 3.081 * [backup-simplify]: Simplify (- 1) into -1 3.081 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.081 * [backup-simplify]: Simplify (log -1) into (log -1) 3.082 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.082 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 3.083 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 3.083 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 3.083 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 3.083 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.083 * [taylor]: Taking taylor expansion of -1 in N 3.083 * [backup-simplify]: Simplify -1 into -1 3.083 * [taylor]: Taking taylor expansion of N in N 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 1 into 1 3.083 * [backup-simplify]: Simplify (/ -1 1) into -1 3.083 * [backup-simplify]: Simplify (sqrt 0) into 0 3.084 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.084 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 3.085 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) +nan.0) into (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))) 3.085 * [backup-simplify]: Simplify (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) into (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) 3.085 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) (log (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))))) in N 3.085 * [taylor]: Taking taylor expansion of (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) in N 3.085 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 3.085 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 3.085 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 3.085 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 3.085 * [taylor]: Taking taylor expansion of 1/3 in N 3.085 * [backup-simplify]: Simplify 1/3 into 1/3 3.085 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 3.085 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 3.085 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.085 * [taylor]: Taking taylor expansion of 1 in N 3.085 * [backup-simplify]: Simplify 1 into 1 3.085 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.085 * [taylor]: Taking taylor expansion of N in N 3.085 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify 1 into 1 3.085 * [backup-simplify]: Simplify (/ 1 1) into 1 3.086 * [backup-simplify]: Simplify (- 1) into -1 3.086 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.086 * [backup-simplify]: Simplify (* -1 -1) into 1 3.086 * [backup-simplify]: Simplify (log 1) into 0 3.087 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.087 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.087 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.087 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 3.087 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 3.087 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.087 * [taylor]: Taking taylor expansion of -1 in N 3.087 * [backup-simplify]: Simplify -1 into -1 3.087 * [taylor]: Taking taylor expansion of N in N 3.087 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify 1 into 1 3.087 * [backup-simplify]: Simplify (/ -1 1) into -1 3.088 * [backup-simplify]: Simplify (sqrt 0) into 0 3.089 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.089 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 3.089 * [backup-simplify]: Simplify (* (pow N -2/3) +nan.0) into (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 3.089 * [backup-simplify]: Simplify (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 3.090 * [taylor]: Taking taylor expansion of (log (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N))))) in N 3.090 * [taylor]: Taking taylor expansion of (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 3.090 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 3.090 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 3.090 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 3.090 * [taylor]: Taking taylor expansion of 1/3 in N 3.090 * [backup-simplify]: Simplify 1/3 into 1/3 3.090 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 3.090 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.090 * [taylor]: Taking taylor expansion of 1 in N 3.090 * [backup-simplify]: Simplify 1 into 1 3.090 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.090 * [taylor]: Taking taylor expansion of N in N 3.090 * [backup-simplify]: Simplify 0 into 0 3.090 * [backup-simplify]: Simplify 1 into 1 3.090 * [backup-simplify]: Simplify (/ 1 1) into 1 3.090 * [backup-simplify]: Simplify (- 1) into -1 3.091 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.091 * [backup-simplify]: Simplify (log -1) into (log -1) 3.092 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.092 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 3.092 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 3.092 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 3.092 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 3.092 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.092 * [taylor]: Taking taylor expansion of -1 in N 3.092 * [backup-simplify]: Simplify -1 into -1 3.092 * [taylor]: Taking taylor expansion of N in N 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 1 into 1 3.093 * [backup-simplify]: Simplify (/ -1 1) into -1 3.093 * [backup-simplify]: Simplify (sqrt 0) into 0 3.094 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.094 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 3.094 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) +nan.0) into (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))) 3.095 * [backup-simplify]: Simplify (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) into (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) 3.095 * [backup-simplify]: Simplify (+ (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))))) into (+ (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))))) 3.096 * [backup-simplify]: Simplify (+ (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))))) into (+ (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))))) 3.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.100 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.102 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 3.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.104 * [backup-simplify]: Simplify (- 0) into 0 3.104 * [backup-simplify]: Simplify (+ 1 0) into 1 3.105 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2 3.106 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 3.107 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.108 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (- (* 2 (log N))))) into (- 2/3) 3.109 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) 3.109 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (- +nan.0)) (* (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) +nan.0)) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 3.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 1)))) 1) into +nan.0 3.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.114 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.116 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 3.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.117 * [backup-simplify]: Simplify (- 0) into 0 3.118 * [backup-simplify]: Simplify (+ 1 0) into 1 3.119 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 3.120 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.121 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 3.122 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 3.124 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (- +nan.0)) (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) +nan.0)) into (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) 3.125 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))))) 1)) (pow (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))) 1)))) 1) into +nan.0 3.125 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.126 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.131 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.136 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 3.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.137 * [backup-simplify]: Simplify (- 0) into 0 3.138 * [backup-simplify]: Simplify (+ 0 0) into 0 3.139 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 3.142 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 3.143 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.144 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 3.145 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 3.147 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (- +nan.0)) (+ (* (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) (- +nan.0)) (* (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) +nan.0))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 3.147 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 2)) (pow (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 1)))) 2) into +nan.0 3.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.156 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 3.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.157 * [backup-simplify]: Simplify (- 0) into 0 3.157 * [backup-simplify]: Simplify (+ 0 0) into 0 3.160 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 3.160 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.162 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 3.164 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 3.166 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (- +nan.0)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (- +nan.0)) (* (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) +nan.0))) into (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) 3.168 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))))) 2)) (pow (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))))) 1)) (pow (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))) 1)))) 2) into +nan.0 3.168 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.168 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.170 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (* +nan.0 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3))) (log (* +nan.0 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))))))) into (- (+ (log (* +nan.0 (pow (pow N 2) 1/3))) (log (* +nan.0 (exp (* 1/3 (- (log -1) (log (/ -1 N)))))))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 3.170 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 3.171 * [backup-simplify]: Simplify (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) into (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) 3.171 * [approximate]: Taking taylor expansion of (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) in (N) around 0 3.171 * [taylor]: Taking taylor expansion of (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) in N 3.171 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 3.171 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 3.171 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 3.171 * [taylor]: Taking taylor expansion of 1/3 in N 3.171 * [backup-simplify]: Simplify 1/3 into 1/3 3.171 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 3.171 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 3.171 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.171 * [taylor]: Taking taylor expansion of N in N 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 1 into 1 3.171 * [taylor]: Taking taylor expansion of 1 in N 3.171 * [backup-simplify]: Simplify 1 into 1 3.172 * [backup-simplify]: Simplify (+ 0 1) into 1 3.172 * [backup-simplify]: Simplify (* 1 1) into 1 3.173 * [backup-simplify]: Simplify (log 1) into 0 3.173 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.173 * [backup-simplify]: Simplify (+ 1 0) into 1 3.174 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 3.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 3.176 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 3.176 * [backup-simplify]: Simplify (exp 0) into 1 3.176 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 3.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.176 * [taylor]: Taking taylor expansion of N in N 3.176 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify 1 into 1 3.177 * [backup-simplify]: Simplify (/ 1 1) into 1 3.177 * [backup-simplify]: Simplify (sqrt 0) into 0 3.178 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.178 * [taylor]: Taking taylor expansion of (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) in N 3.179 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 3.179 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 3.179 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 3.179 * [taylor]: Taking taylor expansion of 1/3 in N 3.179 * [backup-simplify]: Simplify 1/3 into 1/3 3.179 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 3.179 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 3.179 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.179 * [taylor]: Taking taylor expansion of N in N 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 1 into 1 3.179 * [taylor]: Taking taylor expansion of 1 in N 3.179 * [backup-simplify]: Simplify 1 into 1 3.179 * [backup-simplify]: Simplify (+ 0 1) into 1 3.180 * [backup-simplify]: Simplify (* 1 1) into 1 3.180 * [backup-simplify]: Simplify (log 1) into 0 3.180 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.181 * [backup-simplify]: Simplify (+ 1 0) into 1 3.181 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 3.182 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 3.183 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 3.183 * [backup-simplify]: Simplify (exp 0) into 1 3.183 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 3.183 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.183 * [taylor]: Taking taylor expansion of N in N 3.183 * [backup-simplify]: Simplify 0 into 0 3.183 * [backup-simplify]: Simplify 1 into 1 3.184 * [backup-simplify]: Simplify (/ 1 1) into 1 3.184 * [backup-simplify]: Simplify (sqrt 0) into 0 3.185 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.186 * [backup-simplify]: Simplify (* 1 0) into 0 3.186 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 1) 1)))) into 2/3 3.188 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 2/3 0)) into (- +nan.0) 3.189 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.193 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.193 * [backup-simplify]: Simplify (+ 0 0) into 0 3.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 3.198 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 3.199 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 0))) into -1/3 3.201 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow -1/3 1) 1)))) into -1/9 3.204 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 2/3 +nan.0) (* -1/9 0))) into (- +nan.0) 3.204 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.209 * [backup-simplify]: Simplify (+ 0 0) into 0 3.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.214 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 2) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 2/3 3.216 * [backup-simplify]: Simplify (+ (* 1/3 2/3) (+ (* 0 -1) (+ (* 0 2) (* 0 0)))) into 2/9 3.219 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 3) 6)) (* (/ (pow 2/3 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow 2/9 1) 1)))) into 4/81 3.224 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 2/3 +nan.0) (+ (* -1/9 +nan.0) (* 4/81 0)))) into (- +nan.0) 3.224 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.225 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- +nan.0))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 3.225 * [backup-simplify]: Simplify (/ (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) (sqrt (/ 1 N))) into (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) 3.226 * [approximate]: Taking taylor expansion of (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) in (N) around 0 3.226 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) in N 3.226 * [taylor]: Taking taylor expansion of (sqrt N) in N 3.226 * [taylor]: Taking taylor expansion of N in N 3.226 * [backup-simplify]: Simplify 0 into 0 3.226 * [backup-simplify]: Simplify 1 into 1 3.226 * [backup-simplify]: Simplify (sqrt 0) into 0 3.227 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.227 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 3.227 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 3.227 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 3.227 * [taylor]: Taking taylor expansion of 1/3 in N 3.227 * [backup-simplify]: Simplify 1/3 into 1/3 3.227 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 3.227 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 3.227 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.228 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.228 * [taylor]: Taking taylor expansion of N in N 3.228 * [backup-simplify]: Simplify 0 into 0 3.228 * [backup-simplify]: Simplify 1 into 1 3.228 * [backup-simplify]: Simplify (/ 1 1) into 1 3.228 * [taylor]: Taking taylor expansion of 1 in N 3.228 * [backup-simplify]: Simplify 1 into 1 3.228 * [backup-simplify]: Simplify (+ 1 0) into 1 3.229 * [backup-simplify]: Simplify (* 1 1) into 1 3.229 * [backup-simplify]: Simplify (log 1) into 0 3.229 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.230 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.230 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.230 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) in N 3.230 * [taylor]: Taking taylor expansion of (sqrt N) in N 3.230 * [taylor]: Taking taylor expansion of N in N 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.230 * [backup-simplify]: Simplify (sqrt 0) into 0 3.231 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.231 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 3.231 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 3.231 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 3.231 * [taylor]: Taking taylor expansion of 1/3 in N 3.231 * [backup-simplify]: Simplify 1/3 into 1/3 3.231 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 3.231 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 3.231 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.231 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.231 * [taylor]: Taking taylor expansion of N in N 3.231 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify 1 into 1 3.232 * [backup-simplify]: Simplify (/ 1 1) into 1 3.232 * [taylor]: Taking taylor expansion of 1 in N 3.232 * [backup-simplify]: Simplify 1 into 1 3.232 * [backup-simplify]: Simplify (+ 1 0) into 1 3.233 * [backup-simplify]: Simplify (* 1 1) into 1 3.233 * [backup-simplify]: Simplify (log 1) into 0 3.233 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.233 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.234 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.234 * [backup-simplify]: Simplify (* 0 (pow N -2/3)) into 0 3.234 * [backup-simplify]: Simplify 0 into 0 3.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.235 * [backup-simplify]: Simplify (+ 0 1) into 1 3.235 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 3.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 3.237 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.237 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 2 (log N))))) into 2/3 3.238 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) 3.238 * [backup-simplify]: Simplify (+ (* 0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 3.238 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 3.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.240 * [backup-simplify]: Simplify (+ 0 0) into 0 3.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 3.243 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 3.243 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.244 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 3.245 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 3.248 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.248 * [backup-simplify]: Simplify (+ (* 0 (* -1/9 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3)))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 3.249 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 3.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.250 * [backup-simplify]: Simplify (+ 0 0) into 0 3.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.255 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 2) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 2/3 3.256 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.257 * [backup-simplify]: Simplify (+ (* 1/3 2/3) (+ (* 0 -1) (+ (* 0 2) (* 0 (- (* 2 (log N))))))) into 2/9 3.260 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 3) 6)) (* (/ (pow 2/3 1) 1) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 2/9 1) 1)))) into (* 4/81 (pow (/ 1 (pow N 2)) 1/3)) 3.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.264 * [backup-simplify]: Simplify (+ (* 0 (* 4/81 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* -1/9 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3))))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 3.264 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 3.265 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (/ 1 (pow (/ 1 N) 2)) 1/3))) (pow (/ 1 N) 3)) (+ (* (- (* +nan.0 (pow (/ 1 (pow (/ 1 N) 2)) 1/3))) (pow (/ 1 N) 2)) (* (- (* +nan.0 (pow (/ 1 (pow (/ 1 N) 2)) 1/3))) (/ 1 N)))) into (- (+ (* +nan.0 (pow (/ 1 N) 1/3)) (- (+ (* +nan.0 (pow (/ 1 (pow N 7)) 1/3)) (- (* +nan.0 (pow (/ 1 (pow N 4)) 1/3))))))) 3.265 * [backup-simplify]: Simplify (/ (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) (sqrt (/ 1 (- N)))) into (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) 3.265 * [approximate]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) in (N) around 0 3.266 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 3.266 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 3.266 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 3.266 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 3.266 * [taylor]: Taking taylor expansion of 1/3 in N 3.266 * [backup-simplify]: Simplify 1/3 into 1/3 3.266 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 3.266 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 3.266 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.266 * [taylor]: Taking taylor expansion of 1 in N 3.266 * [backup-simplify]: Simplify 1 into 1 3.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.266 * [taylor]: Taking taylor expansion of N in N 3.266 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify 1 into 1 3.266 * [backup-simplify]: Simplify (/ 1 1) into 1 3.267 * [backup-simplify]: Simplify (- 1) into -1 3.267 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.267 * [backup-simplify]: Simplify (* -1 -1) into 1 3.268 * [backup-simplify]: Simplify (log 1) into 0 3.268 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.268 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.268 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.268 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 3.268 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 3.268 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.269 * [taylor]: Taking taylor expansion of -1 in N 3.269 * [backup-simplify]: Simplify -1 into -1 3.269 * [taylor]: Taking taylor expansion of N in N 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 1 into 1 3.269 * [backup-simplify]: Simplify (/ -1 1) into -1 3.269 * [backup-simplify]: Simplify (sqrt 0) into 0 3.271 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.271 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 3.271 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 3.271 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 3.271 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 3.271 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 3.271 * [taylor]: Taking taylor expansion of 1/3 in N 3.271 * [backup-simplify]: Simplify 1/3 into 1/3 3.271 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 3.271 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 3.271 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.271 * [taylor]: Taking taylor expansion of 1 in N 3.271 * [backup-simplify]: Simplify 1 into 1 3.271 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.271 * [taylor]: Taking taylor expansion of N in N 3.271 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify 1 into 1 3.272 * [backup-simplify]: Simplify (/ 1 1) into 1 3.272 * [backup-simplify]: Simplify (- 1) into -1 3.272 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.273 * [backup-simplify]: Simplify (* -1 -1) into 1 3.273 * [backup-simplify]: Simplify (log 1) into 0 3.273 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.274 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.274 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.274 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 3.274 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 3.274 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.274 * [taylor]: Taking taylor expansion of -1 in N 3.274 * [backup-simplify]: Simplify -1 into -1 3.274 * [taylor]: Taking taylor expansion of N in N 3.274 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify 1 into 1 3.274 * [backup-simplify]: Simplify (/ -1 1) into -1 3.275 * [backup-simplify]: Simplify (sqrt 0) into 0 3.276 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.276 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 3.276 * [backup-simplify]: Simplify (* (pow N -2/3) +nan.0) into (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 3.277 * [backup-simplify]: Simplify (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) into (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 3.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.280 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.283 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 3.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.284 * [backup-simplify]: Simplify (- 0) into 0 3.284 * [backup-simplify]: Simplify (+ 1 0) into 1 3.285 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2 3.286 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 3.287 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.288 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (- (* 2 (log N))))) into (- 2/3) 3.288 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) 3.289 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (- +nan.0)) (* (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) +nan.0)) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 3.289 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 3.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.298 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 3.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.299 * [backup-simplify]: Simplify (- 0) into 0 3.299 * [backup-simplify]: Simplify (+ 0 0) into 0 3.300 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 3.303 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 3.303 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.304 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 3.306 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 3.308 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (- +nan.0)) (+ (* (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) (- +nan.0)) (* (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) +nan.0))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 3.308 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 3.309 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3))) (pow (/ 1 (- N)) 2)) (+ (* (- (* +nan.0 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3))) (/ 1 (- N))) (* +nan.0 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)))) into (- (+ (* +nan.0 (pow (pow N 2) 1/3)) (- (+ (* +nan.0 (pow (/ 1 N) 1/3)) (- (* +nan.0 (pow (/ 1 (pow N 4)) 1/3))))))) 3.309 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 3.309 * [backup-simplify]: Simplify (cbrt (+ N 1)) into (pow (+ N 1) 1/3) 3.309 * [approximate]: Taking taylor expansion of (pow (+ N 1) 1/3) in (N) around 0 3.309 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 3.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 3.309 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 3.309 * [taylor]: Taking taylor expansion of 1/3 in N 3.309 * [backup-simplify]: Simplify 1/3 into 1/3 3.309 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 3.309 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.309 * [taylor]: Taking taylor expansion of N in N 3.309 * [backup-simplify]: Simplify 0 into 0 3.309 * [backup-simplify]: Simplify 1 into 1 3.309 * [taylor]: Taking taylor expansion of 1 in N 3.309 * [backup-simplify]: Simplify 1 into 1 3.310 * [backup-simplify]: Simplify (+ 0 1) into 1 3.310 * [backup-simplify]: Simplify (log 1) into 0 3.311 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.311 * [backup-simplify]: Simplify (+ 1 0) into 1 3.312 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.313 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.313 * [backup-simplify]: Simplify (exp 0) into 1 3.313 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 3.313 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 3.313 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 3.313 * [taylor]: Taking taylor expansion of 1/3 in N 3.313 * [backup-simplify]: Simplify 1/3 into 1/3 3.313 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 3.313 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.313 * [taylor]: Taking taylor expansion of N in N 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify 1 into 1 3.313 * [taylor]: Taking taylor expansion of 1 in N 3.313 * [backup-simplify]: Simplify 1 into 1 3.313 * [backup-simplify]: Simplify (+ 0 1) into 1 3.314 * [backup-simplify]: Simplify (log 1) into 0 3.314 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.314 * [backup-simplify]: Simplify (+ 1 0) into 1 3.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.316 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.316 * [backup-simplify]: Simplify (exp 0) into 1 3.316 * [backup-simplify]: Simplify 1 into 1 3.317 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 3.317 * [backup-simplify]: Simplify 1/3 into 1/3 3.318 * [backup-simplify]: Simplify (+ 0 0) into 0 3.320 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.321 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 3.323 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 3.323 * [backup-simplify]: Simplify -1/9 into -1/9 3.323 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) 3.323 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1)) into (pow (+ (/ 1 N) 1) 1/3) 3.323 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in (N) around 0 3.323 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 3.323 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 3.323 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 3.323 * [taylor]: Taking taylor expansion of 1/3 in N 3.323 * [backup-simplify]: Simplify 1/3 into 1/3 3.323 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 3.323 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.323 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.323 * [taylor]: Taking taylor expansion of N in N 3.323 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify 1 into 1 3.324 * [backup-simplify]: Simplify (/ 1 1) into 1 3.324 * [taylor]: Taking taylor expansion of 1 in N 3.324 * [backup-simplify]: Simplify 1 into 1 3.324 * [backup-simplify]: Simplify (+ 1 0) into 1 3.325 * [backup-simplify]: Simplify (log 1) into 0 3.325 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.325 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.325 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.325 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 3.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 3.325 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 3.325 * [taylor]: Taking taylor expansion of 1/3 in N 3.325 * [backup-simplify]: Simplify 1/3 into 1/3 3.325 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 3.325 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.325 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.325 * [taylor]: Taking taylor expansion of N in N 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 1 into 1 3.326 * [backup-simplify]: Simplify (/ 1 1) into 1 3.326 * [taylor]: Taking taylor expansion of 1 in N 3.326 * [backup-simplify]: Simplify 1 into 1 3.326 * [backup-simplify]: Simplify (+ 1 0) into 1 3.327 * [backup-simplify]: Simplify (log 1) into 0 3.327 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.327 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.327 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.327 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.328 * [backup-simplify]: Simplify (+ 0 1) into 1 3.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.334 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.335 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 3.336 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 3.336 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) 3.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.337 * [backup-simplify]: Simplify (+ 0 0) into 0 3.340 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.341 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.341 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 3.343 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) 3.343 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 3.343 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) 3.344 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (pow (- 1 (/ 1 N)) 1/3) 3.344 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in (N) around 0 3.344 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 3.344 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 3.344 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 3.344 * [taylor]: Taking taylor expansion of 1/3 in N 3.344 * [backup-simplify]: Simplify 1/3 into 1/3 3.344 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 3.344 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.344 * [taylor]: Taking taylor expansion of 1 in N 3.344 * [backup-simplify]: Simplify 1 into 1 3.344 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.344 * [taylor]: Taking taylor expansion of N in N 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify 1 into 1 3.344 * [backup-simplify]: Simplify (/ 1 1) into 1 3.345 * [backup-simplify]: Simplify (- 1) into -1 3.345 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.345 * [backup-simplify]: Simplify (log -1) into (log -1) 3.346 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.346 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 3.347 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 3.347 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 3.347 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 3.347 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 3.347 * [taylor]: Taking taylor expansion of 1/3 in N 3.347 * [backup-simplify]: Simplify 1/3 into 1/3 3.347 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 3.347 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.347 * [taylor]: Taking taylor expansion of 1 in N 3.347 * [backup-simplify]: Simplify 1 into 1 3.347 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.347 * [taylor]: Taking taylor expansion of N in N 3.347 * [backup-simplify]: Simplify 0 into 0 3.347 * [backup-simplify]: Simplify 1 into 1 3.347 * [backup-simplify]: Simplify (/ 1 1) into 1 3.348 * [backup-simplify]: Simplify (- 1) into -1 3.348 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.349 * [backup-simplify]: Simplify (log -1) into (log -1) 3.349 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.350 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 3.350 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 3.351 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 3.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.352 * [backup-simplify]: Simplify (- 0) into 0 3.352 * [backup-simplify]: Simplify (+ 1 0) into 1 3.354 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 3.354 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.355 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 3.357 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 3.357 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 3.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.358 * [backup-simplify]: Simplify (- 0) into 0 3.359 * [backup-simplify]: Simplify (+ 0 0) into 0 3.362 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 3.363 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.364 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 3.366 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 3.367 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 3.369 * [backup-simplify]: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 3.369 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2) 3.369 * [backup-simplify]: Simplify (cbrt (+ N 1)) into (pow (+ N 1) 1/3) 3.369 * [approximate]: Taking taylor expansion of (pow (+ N 1) 1/3) in (N) around 0 3.369 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 3.369 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 3.369 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 3.369 * [taylor]: Taking taylor expansion of 1/3 in N 3.369 * [backup-simplify]: Simplify 1/3 into 1/3 3.369 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 3.369 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.369 * [taylor]: Taking taylor expansion of N in N 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 1 into 1 3.369 * [taylor]: Taking taylor expansion of 1 in N 3.369 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify (+ 0 1) into 1 3.370 * [backup-simplify]: Simplify (log 1) into 0 3.371 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.371 * [backup-simplify]: Simplify (+ 1 0) into 1 3.372 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.373 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.373 * [backup-simplify]: Simplify (exp 0) into 1 3.373 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 3.373 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 3.373 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 3.373 * [taylor]: Taking taylor expansion of 1/3 in N 3.373 * [backup-simplify]: Simplify 1/3 into 1/3 3.373 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 3.373 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.373 * [taylor]: Taking taylor expansion of N in N 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify 1 into 1 3.373 * [taylor]: Taking taylor expansion of 1 in N 3.373 * [backup-simplify]: Simplify 1 into 1 3.374 * [backup-simplify]: Simplify (+ 0 1) into 1 3.374 * [backup-simplify]: Simplify (log 1) into 0 3.375 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.375 * [backup-simplify]: Simplify (+ 1 0) into 1 3.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.377 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.377 * [backup-simplify]: Simplify (exp 0) into 1 3.377 * [backup-simplify]: Simplify 1 into 1 3.378 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 3.378 * [backup-simplify]: Simplify 1/3 into 1/3 3.379 * [backup-simplify]: Simplify (+ 0 0) into 0 3.382 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.383 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 3.385 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 3.385 * [backup-simplify]: Simplify -1/9 into -1/9 3.385 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) 3.385 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1)) into (pow (+ (/ 1 N) 1) 1/3) 3.385 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in (N) around 0 3.385 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 3.385 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 3.385 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 3.385 * [taylor]: Taking taylor expansion of 1/3 in N 3.385 * [backup-simplify]: Simplify 1/3 into 1/3 3.385 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 3.385 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.385 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.385 * [taylor]: Taking taylor expansion of N in N 3.386 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify 1 into 1 3.386 * [backup-simplify]: Simplify (/ 1 1) into 1 3.386 * [taylor]: Taking taylor expansion of 1 in N 3.386 * [backup-simplify]: Simplify 1 into 1 3.386 * [backup-simplify]: Simplify (+ 1 0) into 1 3.387 * [backup-simplify]: Simplify (log 1) into 0 3.387 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.387 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.387 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.387 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 3.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 3.388 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 3.388 * [taylor]: Taking taylor expansion of 1/3 in N 3.388 * [backup-simplify]: Simplify 1/3 into 1/3 3.388 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 3.388 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.388 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.388 * [taylor]: Taking taylor expansion of N in N 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify 1 into 1 3.388 * [backup-simplify]: Simplify (/ 1 1) into 1 3.388 * [taylor]: Taking taylor expansion of 1 in N 3.388 * [backup-simplify]: Simplify 1 into 1 3.389 * [backup-simplify]: Simplify (+ 1 0) into 1 3.389 * [backup-simplify]: Simplify (log 1) into 0 3.389 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.389 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.390 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.390 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.391 * [backup-simplify]: Simplify (+ 0 1) into 1 3.392 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.393 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.393 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 3.394 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 3.394 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) 3.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.396 * [backup-simplify]: Simplify (+ 0 0) into 0 3.398 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.399 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.400 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 3.401 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) 3.401 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 3.402 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) 3.402 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (pow (- 1 (/ 1 N)) 1/3) 3.402 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in (N) around 0 3.402 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 3.402 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 3.402 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 3.402 * [taylor]: Taking taylor expansion of 1/3 in N 3.402 * [backup-simplify]: Simplify 1/3 into 1/3 3.402 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 3.402 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.402 * [taylor]: Taking taylor expansion of 1 in N 3.402 * [backup-simplify]: Simplify 1 into 1 3.402 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.402 * [taylor]: Taking taylor expansion of N in N 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 1 into 1 3.403 * [backup-simplify]: Simplify (/ 1 1) into 1 3.403 * [backup-simplify]: Simplify (- 1) into -1 3.404 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.404 * [backup-simplify]: Simplify (log -1) into (log -1) 3.405 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.405 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 3.406 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 3.406 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 3.406 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 3.406 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 3.406 * [taylor]: Taking taylor expansion of 1/3 in N 3.406 * [backup-simplify]: Simplify 1/3 into 1/3 3.406 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 3.406 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.406 * [taylor]: Taking taylor expansion of 1 in N 3.406 * [backup-simplify]: Simplify 1 into 1 3.406 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.406 * [taylor]: Taking taylor expansion of N in N 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify 1 into 1 3.406 * [backup-simplify]: Simplify (/ 1 1) into 1 3.407 * [backup-simplify]: Simplify (- 1) into -1 3.407 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.408 * [backup-simplify]: Simplify (log -1) into (log -1) 3.408 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.409 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 3.409 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 3.410 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 3.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.411 * [backup-simplify]: Simplify (- 0) into 0 3.412 * [backup-simplify]: Simplify (+ 1 0) into 1 3.413 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 3.414 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.414 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 3.416 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 3.416 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 3.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.418 * [backup-simplify]: Simplify (- 0) into 0 3.418 * [backup-simplify]: Simplify (+ 0 0) into 0 3.421 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 3.422 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.424 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 3.426 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 3.426 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 3.428 * [backup-simplify]: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 3.429 * * * [progress]: simplifying candidates 3.429 * * * * [progress]: [ 1 / 152 ] simplifiying candidate # 3.429 * * * * [progress]: [ 2 / 152 ] simplifiying candidate # 3.429 * * * * [progress]: [ 3 / 152 ] simplifiying candidate # 3.429 * * * * [progress]: [ 4 / 152 ] simplifiying candidate # 3.429 * * * * [progress]: [ 5 / 152 ] simplifiying candidate # 3.429 * * * * [progress]: [ 6 / 152 ] simplifiying candidate # 3.429 * * * * [progress]: [ 7 / 152 ] simplifiying candidate # 3.429 * * * * [progress]: [ 8 / 152 ] simplifiying candidate # 3.429 * * * * [progress]: [ 9 / 152 ] simplifiying candidate # 3.429 * * * * [progress]: [ 10 / 152 ] simplifiying candidate # 3.429 * * * * [progress]: [ 11 / 152 ] simplifiying candidate # 3.429 * * * * [progress]: [ 12 / 152 ] simplifiying candidate # 3.430 * * * * [progress]: [ 13 / 152 ] simplifiying candidate # 3.430 * * * * [progress]: [ 14 / 152 ] simplifiying candidate # 3.430 * * * * [progress]: [ 15 / 152 ] simplifiying candidate # 3.430 * * * * [progress]: [ 16 / 152 ] simplifiying candidate # 3.430 * * * * [progress]: [ 17 / 152 ] simplifiying candidate # 3.430 * * * * [progress]: [ 18 / 152 ] simplifiying candidate # 3.430 * * * * [progress]: [ 19 / 152 ] simplifiying candidate # 3.430 * * * * [progress]: [ 20 / 152 ] simplifiying candidate # 3.430 * * * * [progress]: [ 21 / 152 ] simplifiying candidate # 3.430 * * * * [progress]: [ 22 / 152 ] simplifiying candidate # 3.430 * * * * [progress]: [ 23 / 152 ] simplifiying candidate # 3.430 * * * * [progress]: [ 24 / 152 ] simplifiying candidate # 3.430 * * * * [progress]: [ 25 / 152 ] simplifiying candidate # 3.431 * * * * [progress]: [ 26 / 152 ] simplifiying candidate # 3.431 * * * * [progress]: [ 27 / 152 ] simplifiying candidate # 3.431 * * * * [progress]: [ 28 / 152 ] simplifiying candidate # 3.431 * * * * [progress]: [ 29 / 152 ] simplifiying candidate # 3.431 * * * * [progress]: [ 30 / 152 ] simplifiying candidate # 3.431 * * * * [progress]: [ 31 / 152 ] simplifiying candidate # 3.431 * * * * [progress]: [ 32 / 152 ] simplifiying candidate # 3.431 * * * * [progress]: [ 33 / 152 ] simplifiying candidate # 3.431 * * * * [progress]: [ 34 / 152 ] simplifiying candidate # 3.431 * * * * [progress]: [ 35 / 152 ] simplifiying candidate # 3.431 * * * * [progress]: [ 36 / 152 ] simplifiying candidate # 3.431 * * * * [progress]: [ 37 / 152 ] simplifiying candidate # 3.431 * * * * [progress]: [ 38 / 152 ] simplifiying candidate # 3.431 * * * * [progress]: [ 39 / 152 ] simplifiying candidate # 3.432 * * * * [progress]: [ 40 / 152 ] simplifiying candidate # 3.432 * * * * [progress]: [ 41 / 152 ] simplifiying candidate # 3.432 * * * * [progress]: [ 42 / 152 ] simplifiying candidate # 3.432 * * * * [progress]: [ 43 / 152 ] simplifiying candidate # 3.432 * * * * [progress]: [ 44 / 152 ] simplifiying candidate # 3.432 * * * * [progress]: [ 45 / 152 ] simplifiying candidate # 3.432 * * * * [progress]: [ 46 / 152 ] simplifiying candidate # 3.432 * * * * [progress]: [ 47 / 152 ] simplifiying candidate # 3.432 * * * * [progress]: [ 48 / 152 ] simplifiying candidate # 3.432 * * * * [progress]: [ 49 / 152 ] simplifiying candidate # 3.432 * * * * [progress]: [ 50 / 152 ] simplifiying candidate # 3.432 * * * * [progress]: [ 51 / 152 ] simplifiying candidate # 3.432 * * * * [progress]: [ 52 / 152 ] simplifiying candidate # 3.433 * * * * [progress]: [ 53 / 152 ] simplifiying candidate # 3.433 * * * * [progress]: [ 54 / 152 ] simplifiying candidate # 3.433 * * * * [progress]: [ 55 / 152 ] simplifiying candidate # 3.433 * * * * [progress]: [ 56 / 152 ] simplifiying candidate # 3.433 * * * * [progress]: [ 57 / 152 ] simplifiying candidate # 3.433 * * * * [progress]: [ 58 / 152 ] simplifiying candidate # 3.433 * * * * [progress]: [ 59 / 152 ] simplifiying candidate # 3.433 * * * * [progress]: [ 60 / 152 ] simplifiying candidate # 3.433 * * * * [progress]: [ 61 / 152 ] simplifiying candidate # 3.433 * * * * [progress]: [ 62 / 152 ] simplifiying candidate # 3.433 * * * * [progress]: [ 63 / 152 ] simplifiying candidate # 3.433 * * * * [progress]: [ 64 / 152 ] simplifiying candidate # 3.433 * * * * [progress]: [ 65 / 152 ] simplifiying candidate # 3.433 * * * * [progress]: [ 66 / 152 ] simplifiying candidate # 3.434 * * * * [progress]: [ 67 / 152 ] simplifiying candidate # 3.434 * * * * [progress]: [ 68 / 152 ] simplifiying candidate # 3.434 * * * * [progress]: [ 69 / 152 ] simplifiying candidate # 3.434 * * * * [progress]: [ 70 / 152 ] simplifiying candidate # 3.434 * * * * [progress]: [ 71 / 152 ] simplifiying candidate # 3.434 * * * * [progress]: [ 72 / 152 ] simplifiying candidate # 3.434 * * * * [progress]: [ 73 / 152 ] simplifiying candidate #real (real->posit16 (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N)))))))> 3.434 * * * * [progress]: [ 74 / 152 ] simplifiying candidate # 3.434 * * * * [progress]: [ 75 / 152 ] simplifiying candidate # 3.434 * * * * [progress]: [ 76 / 152 ] simplifiying candidate # 3.434 * * * * [progress]: [ 77 / 152 ] simplifiying candidate # 3.434 * * * * [progress]: [ 78 / 152 ] simplifiying candidate # 3.434 * * * * [progress]: [ 79 / 152 ] simplifiying candidate # 3.434 * * * * [progress]: [ 80 / 152 ] simplifiying candidate # 3.434 * * * * [progress]: [ 81 / 152 ] simplifiying candidate # 3.434 * * * * [progress]: [ 82 / 152 ] simplifiying candidate # 3.435 * * * * [progress]: [ 83 / 152 ] simplifiying candidate # 3.435 * * * * [progress]: [ 84 / 152 ] simplifiying candidate # 3.435 * * * * [progress]: [ 85 / 152 ] simplifiying candidate # 3.435 * * * * [progress]: [ 86 / 152 ] simplifiying candidate # 3.435 * * * * [progress]: [ 87 / 152 ] simplifiying candidate # 3.435 * * * * [progress]: [ 88 / 152 ] simplifiying candidate # 3.435 * * * * [progress]: [ 89 / 152 ] simplifiying candidate # 3.435 * * * * [progress]: [ 90 / 152 ] simplifiying candidate # 3.435 * * * * [progress]: [ 91 / 152 ] simplifiying candidate # 3.435 * * * * [progress]: [ 92 / 152 ] simplifiying candidate # 3.435 * * * * [progress]: [ 93 / 152 ] simplifiying candidate # 3.435 * * * * [progress]: [ 94 / 152 ] simplifiying candidate # 3.435 * * * * [progress]: [ 95 / 152 ] simplifiying candidate # 3.435 * * * * [progress]: [ 96 / 152 ] simplifiying candidate # 3.436 * * * * [progress]: [ 97 / 152 ] simplifiying candidate # 3.436 * * * * [progress]: [ 98 / 152 ] simplifiying candidate # 3.436 * * * * [progress]: [ 99 / 152 ] simplifiying candidate # 3.436 * * * * [progress]: [ 100 / 152 ] simplifiying candidate # 3.436 * * * * [progress]: [ 101 / 152 ] simplifiying candidate # 3.436 * * * * [progress]: [ 102 / 152 ] simplifiying candidate # 3.436 * * * * [progress]: [ 103 / 152 ] simplifiying candidate # 3.436 * * * * [progress]: [ 104 / 152 ] simplifiying candidate # 3.436 * * * * [progress]: [ 105 / 152 ] simplifiying candidate # 3.436 * * * * [progress]: [ 106 / 152 ] simplifiying candidate # 3.436 * * * * [progress]: [ 107 / 152 ] simplifiying candidate # 3.436 * * * * [progress]: [ 108 / 152 ] simplifiying candidate # 3.436 * * * * [progress]: [ 109 / 152 ] simplifiying candidate # 3.436 * * * * [progress]: [ 110 / 152 ] simplifiying candidate #real (real->posit16 (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))))) (log (/ (cbrt (+ N 1)) (sqrt N)))))> 3.437 * * * * [progress]: [ 111 / 152 ] simplifiying candidate # 3.437 * * * * [progress]: [ 112 / 152 ] simplifiying candidate # 3.437 * * * * [progress]: [ 113 / 152 ] simplifiying candidate # 3.437 * * * * [progress]: [ 114 / 152 ] simplifiying candidate # 3.437 * * * * [progress]: [ 115 / 152 ] simplifiying candidate # 3.437 * * * * [progress]: [ 116 / 152 ] simplifiying candidate # 3.437 * * * * [progress]: [ 117 / 152 ] simplifiying candidate # 3.437 * * * * [progress]: [ 118 / 152 ] simplifiying candidate # 3.437 * * * * [progress]: [ 119 / 152 ] simplifiying candidate # 3.437 * * * * [progress]: [ 120 / 152 ] simplifiying candidate # 3.437 * * * * [progress]: [ 121 / 152 ] simplifiying candidate # 3.437 * * * * [progress]: [ 122 / 152 ] simplifiying candidate # 3.437 * * * * [progress]: [ 123 / 152 ] simplifiying candidate # 3.437 * * * * [progress]: [ 124 / 152 ] simplifiying candidate # 3.437 * * * * [progress]: [ 125 / 152 ] simplifiying candidate #real (real->posit16 (cbrt (+ N 1)))) (sqrt N)))))> 3.438 * * * * [progress]: [ 126 / 152 ] simplifiying candidate # 3.438 * * * * [progress]: [ 127 / 152 ] simplifiying candidate # 3.438 * * * * [progress]: [ 128 / 152 ] simplifiying candidate # 3.438 * * * * [progress]: [ 129 / 152 ] simplifiying candidate # 3.438 * * * * [progress]: [ 130 / 152 ] simplifiying candidate # 3.438 * * * * [progress]: [ 131 / 152 ] simplifiying candidate # 3.438 * * * * [progress]: [ 132 / 152 ] simplifiying candidate # 3.438 * * * * [progress]: [ 133 / 152 ] simplifiying candidate # 3.438 * * * * [progress]: [ 134 / 152 ] simplifiying candidate # 3.438 * * * * [progress]: [ 135 / 152 ] simplifiying candidate # 3.438 * * * * [progress]: [ 136 / 152 ] simplifiying candidate # 3.438 * * * * [progress]: [ 137 / 152 ] simplifiying candidate # 3.438 * * * * [progress]: [ 138 / 152 ] simplifiying candidate # 3.438 * * * * [progress]: [ 139 / 152 ] simplifiying candidate # 3.438 * * * * [progress]: [ 140 / 152 ] simplifiying candidate #real (real->posit16 (cbrt (+ N 1))))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N)))))> 3.439 * * * * [progress]: [ 141 / 152 ] simplifiying candidate # 3.439 * * * * [progress]: [ 142 / 152 ] simplifiying candidate # 3.439 * * * * [progress]: [ 143 / 152 ] simplifiying candidate # 3.439 * * * * [progress]: [ 144 / 152 ] simplifiying candidate # 3.439 * * * * [progress]: [ 145 / 152 ] simplifiying candidate # 3.439 * * * * [progress]: [ 146 / 152 ] simplifiying candidate # 3.439 * * * * [progress]: [ 147 / 152 ] simplifiying candidate # 3.439 * * * * [progress]: [ 148 / 152 ] simplifiying candidate # 3.439 * * * * [progress]: [ 149 / 152 ] simplifiying candidate # 3.439 * * * * [progress]: [ 150 / 152 ] simplifiying candidate # 3.439 * * * * [progress]: [ 151 / 152 ] simplifiying candidate # 3.439 * * * * [progress]: [ 152 / 152 ] simplifiying candidate # 3.442 * [simplify]: Simplifying: (* (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) (/ (cbrt (+ N 1)) (sqrt N))) (log (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))))) (exp (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))))) (* (cbrt (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))))) (cbrt (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N)))))) (cbrt (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))))) (* (* (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N)))) (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))))) (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))))) (sqrt (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))))) (sqrt (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))))) (+ (pow (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) 3) (pow (log (/ (cbrt (+ N 1)) (sqrt N))) 3)) (+ (* (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)))) (- (* (log (/ (cbrt (+ N 1)) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N)))) (* (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N)))))) (- (* (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)))) (* (log (/ (cbrt (+ N 1)) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))))) (- (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N)))) (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N)))) (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N)))) (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N)))) (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N)))) (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (* (cbrt (/ (cbrt (+ N 1)) (sqrt N))) (cbrt (/ (cbrt (+ N 1)) (sqrt N)))))) (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (sqrt (/ (cbrt (+ N 1)) (sqrt N))))) (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (sqrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (sqrt (sqrt N))))) (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (sqrt 1)))) (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (sqrt (sqrt N))))) (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 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N))) (log (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (cbrt (+ 1 N)) (sqrt N)))) (+ (log (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (log (cbrt (+ 1 N)))) (- (log (sqrt N)) (log (/ (cbrt (+ 1 N)) (sqrt N)))) (real->posit16 (+ (+ (log (/ (cbrt (+ 1 N)) (sqrt N))) (log (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) (sqrt N))))) (log (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (log (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (log (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (exp (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (* (/ (+ 1 N) (sqrt N)) (/ (+ 1 N) N)) (/ (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (/ (* N (sqrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (* (cbrt (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (cbrt (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N)))))) (cbrt (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (* (* (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N)))) (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (sqrt (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (sqrt (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (- (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (- (sqrt N)) (/ (/ (cbrt (+ 1 N)) (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (cbrt (+ 1 N)) (cbrt (sqrt N))) (/ (cbrt (+ 1 N)) (fabs (cbrt N))) (/ (cbrt (+ 1 N)) (sqrt (cbrt N))) (/ (cbrt (+ 1 N)) (sqrt (sqrt N))) (/ (cbrt (+ 1 N)) (sqrt (sqrt N))) (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N)) (/ (cbrt (+ 1 N)) (sqrt (sqrt N))) (/ (cbrt (+ 1 N)) (sqrt (sqrt N))) (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N)) (/ 1 (sqrt N)) (/ (sqrt N) (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (/ (cbrt (+ 1 N)) (cbrt (sqrt N))) (/ (cbrt (+ 1 N)) (cbrt (sqrt N)))) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (fabs (cbrt N))) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt (sqrt N))) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt (sqrt N))) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (sqrt N) (cbrt (+ 1 N))) (* (* (cbrt (- (+ (* N N) 1) N)) (cbrt (- (+ (* N N) 1) N))) (sqrt N)) (* (cbrt (- (+ (* N N) 1) N)) (* (cbrt (+ N -1)) (sqrt N))) (* (cbrt (- (+ (* N N) 1) N)) (* (cbrt (+ N -1)) (sqrt N))) (* (* (cbrt (+ N -1)) (sqrt N)) (cbrt (+ N -1))) (* (cbrt (- (+ (* N N) 1) N)) (sqrt N)) (* (cbrt (+ N -1)) (sqrt N)) (* (cbrt (- (+ (* N N) 1) N)) (sqrt N)) (* (cbrt (+ N -1)) (sqrt N)) (real->posit16 (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (log (cbrt (+ 1 N))) (exp (cbrt (+ 1 N))) (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (cbrt (cbrt (+ 1 N))) (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N))) 1 (cbrt (+ 1 N)) 1 (cbrt (+ 1 N)) (cbrt (+ (* N (* N N)) 1)) (cbrt (- (+ (* N N) 1) N)) (cbrt (- (* N N) 1)) (cbrt (+ N -1)) (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) (cbrt (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt (cbrt (+ 1 N))) (sqrt (cbrt (+ 1 N))) (real->posit16 (cbrt (+ 1 N))) (log (cbrt (+ 1 N))) (exp (cbrt (+ 1 N))) (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (cbrt (cbrt (+ 1 N))) (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N))) 1 (cbrt (+ 1 N)) 1 (cbrt (+ 1 N)) (cbrt (+ (* N (* N N)) 1)) (cbrt (- (+ (* N N) 1) N)) (cbrt (- (* N N) 1)) (cbrt (+ N -1)) (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) (cbrt (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt (cbrt (+ 1 N))) (sqrt (cbrt (+ 1 N))) (real->posit16 (cbrt (+ 1 N))) (- (* (log (- +nan.0)) 2) (* +nan.0 (- N (* N N)))) (+ (+ (log (* (- +nan.0) (cbrt N))) (+ (log (- +nan.0)) (* 1/3 (log (* N N))))) (- (* (- (log N)) 2) (- (/ +nan.0 (* N N)) (/ +nan.0 N)))) (- (+ (+ (+ (log +nan.0) (* (- (log -1) (- (log -1) (log N))) 1/3)) (log +nan.0)) (* 1/3 (log (* N N)))) (- (/ +nan.0 (* N N)) (/ +nan.0 N))) (- (+ (* +nan.0 (- N (* N N))) +nan.0)) (- (- (* +nan.0 (cbrt (/ 1 N))) (- (* +nan.0 (cbrt (/ 1 (pow N 7)))) (* +nan.0 (cbrt (/ 1 (* (* N N) (* N N)))))))) (+ (* (- (cbrt (* N N))) +nan.0) (- (* +nan.0 (cbrt (/ 1 N))) (* +nan.0 (cbrt (/ 1 (* (* N N) (* N N))))))) (+ 1 (- (* N 1/3) (* 1/9 (* N N)))) (+ (pow (/ 1 N) -1/3) (- (* 1/3 (cbrt (/ 1 (* N N)))) (* 1/9 (cbrt (/ 1 (pow N 5)))))) (+ (* 1/3 (/ (exp (* (- (log -1) (- (log -1) (log N))) 1/3)) N)) (- (exp (* (- (log -1) (- (log -1) (log N))) 1/3)) (/ (* 1/9 (exp (* (- (log -1) (- (log -1) (log N))) 1/3))) (* N N)))) (+ 1 (- (* N 1/3) (* 1/9 (* N N)))) (+ (pow (/ 1 N) -1/3) (- (* 1/3 (cbrt (/ 1 (* N N)))) (* 1/9 (cbrt (/ 1 (pow N 5)))))) (+ (* 1/3 (/ (exp (* (- (log -1) (- (log -1) (log N))) 1/3)) N)) (- (exp (* (- (log -1) (- (log -1) (log N))) 1/3)) (/ (* 1/9 (exp (* (- (log -1) (- (log -1) (log N))) 1/3))) (* N N)))) 4.657 * * * [progress]: adding candidates to table 5.413 * * [progress]: iteration 4 / 4 5.413 * * * [progress]: picking best candidate 5.425 * * * * [pick]: Picked # 5.425 * * * [progress]: localizing error 5.500 * * * [progress]: generating rewritten candidates 5.500 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 6.013 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 6.016 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2 2) 6.018 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 1) 6.027 * * * [progress]: generating series expansions 6.027 * * * * [progress]: [ 1 / 4 ] generating series at (2) 6.028 * [backup-simplify]: Simplify (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (cbrt (+ N 1))) (cbrt (sqrt N))))) into (+ (log (* (pow (+ N 1) 1/9) (pow (/ 1 N) 1/6))) (+ (log (* (pow (pow (+ N 1) 2) 1/9) (pow (/ 1 N) 1/3))) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N)))))) 6.028 * [approximate]: Taking taylor expansion of (+ (log (* (pow (+ N 1) 1/9) (pow (/ 1 N) 1/6))) (+ (log (* (pow (pow (+ N 1) 2) 1/9) (pow (/ 1 N) 1/3))) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N)))))) in (N) around 0 6.029 * [taylor]: Taking taylor expansion of (+ (log (* (pow (+ N 1) 1/9) (pow (/ 1 N) 1/6))) (+ (log (* (pow (pow (+ N 1) 2) 1/9) (pow (/ 1 N) 1/3))) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N)))))) in N 6.029 * [taylor]: Taking taylor expansion of (log (* (pow (+ N 1) 1/9) (pow (/ 1 N) 1/6))) in N 6.029 * [taylor]: Taking taylor expansion of (* (pow (+ N 1) 1/9) (pow (/ 1 N) 1/6)) in N 6.029 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/9) in N 6.029 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ N 1)))) in N 6.029 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ N 1))) in N 6.029 * [taylor]: Taking taylor expansion of 1/9 in N 6.029 * [backup-simplify]: Simplify 1/9 into 1/9 6.029 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 6.029 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.029 * [taylor]: Taking taylor expansion of N in N 6.029 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify 1 into 1 6.029 * [taylor]: Taking taylor expansion of 1 in N 6.029 * [backup-simplify]: Simplify 1 into 1 6.030 * [backup-simplify]: Simplify (+ 0 1) into 1 6.030 * [backup-simplify]: Simplify (log 1) into 0 6.034 * [backup-simplify]: Simplify (* 1/9 0) into 0 6.035 * [backup-simplify]: Simplify (+ 1 0) into 1 6.036 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.037 * [backup-simplify]: Simplify (+ (* 1/9 1) (* 0 0)) into 1/9 6.037 * [backup-simplify]: Simplify (exp 0) into 1 6.037 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 6.037 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 6.037 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 6.037 * [taylor]: Taking taylor expansion of 1/6 in N 6.037 * [backup-simplify]: Simplify 1/6 into 1/6 6.037 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.037 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.037 * [taylor]: Taking taylor expansion of N in N 6.037 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify 1 into 1 6.038 * [backup-simplify]: Simplify (/ 1 1) into 1 6.038 * [backup-simplify]: Simplify (log 1) into 0 6.039 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.039 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 6.039 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 6.039 * [backup-simplify]: Simplify (* 1 (pow N -1/6)) into (pow (/ 1 N) 1/6) 6.039 * [backup-simplify]: Simplify (log (pow (/ 1 N) 1/6)) into (log (pow (/ 1 N) 1/6)) 6.039 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow (+ N 1) 2) 1/9) (pow (/ 1 N) 1/3))) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))))) in N 6.039 * [taylor]: Taking taylor expansion of (log (* (pow (pow (+ N 1) 2) 1/9) (pow (/ 1 N) 1/3))) in N 6.039 * [taylor]: Taking taylor expansion of (* (pow (pow (+ N 1) 2) 1/9) (pow (/ 1 N) 1/3)) in N 6.039 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/9) in N 6.039 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (+ N 1) 2)))) in N 6.039 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (+ N 1) 2))) in N 6.039 * [taylor]: Taking taylor expansion of 1/9 in N 6.039 * [backup-simplify]: Simplify 1/9 into 1/9 6.040 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 6.040 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 6.040 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.040 * [taylor]: Taking taylor expansion of N in N 6.040 * [backup-simplify]: Simplify 0 into 0 6.040 * [backup-simplify]: Simplify 1 into 1 6.040 * [taylor]: Taking taylor expansion of 1 in N 6.040 * [backup-simplify]: Simplify 1 into 1 6.040 * [backup-simplify]: Simplify (+ 0 1) into 1 6.041 * [backup-simplify]: Simplify (* 1 1) into 1 6.041 * [backup-simplify]: Simplify (log 1) into 0 6.042 * [backup-simplify]: Simplify (* 1/9 0) into 0 6.042 * [backup-simplify]: Simplify (+ 1 0) into 1 6.043 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 6.044 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 6.045 * [backup-simplify]: Simplify (+ (* 1/9 2) (* 0 0)) into 2/9 6.045 * [backup-simplify]: Simplify (exp 0) into 1 6.045 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 6.045 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 6.045 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 6.045 * [taylor]: Taking taylor expansion of 1/3 in N 6.045 * [backup-simplify]: Simplify 1/3 into 1/3 6.045 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.045 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.045 * [taylor]: Taking taylor expansion of N in N 6.045 * [backup-simplify]: Simplify 0 into 0 6.045 * [backup-simplify]: Simplify 1 into 1 6.045 * [backup-simplify]: Simplify (/ 1 1) into 1 6.046 * [backup-simplify]: Simplify (log 1) into 0 6.046 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.047 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 6.047 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 6.047 * [backup-simplify]: Simplify (* 1 (pow N -1/3)) into (pow (/ 1 N) 1/3) 6.047 * [backup-simplify]: Simplify (log (pow (/ 1 N) 1/3)) into (log (pow (/ 1 N) 1/3)) 6.047 * [taylor]: Taking taylor expansion of (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N)))) in N 6.047 * [taylor]: Taking taylor expansion of (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) in N 6.047 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 6.047 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 6.047 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 6.047 * [taylor]: Taking taylor expansion of 1/3 in N 6.047 * [backup-simplify]: Simplify 1/3 into 1/3 6.047 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 6.047 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 6.047 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.047 * [taylor]: Taking taylor expansion of N in N 6.047 * [backup-simplify]: Simplify 0 into 0 6.047 * [backup-simplify]: Simplify 1 into 1 6.047 * [taylor]: Taking taylor expansion of 1 in N 6.047 * [backup-simplify]: Simplify 1 into 1 6.048 * [backup-simplify]: Simplify (+ 0 1) into 1 6.048 * [backup-simplify]: Simplify (* 1 1) into 1 6.049 * [backup-simplify]: Simplify (log 1) into 0 6.049 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.050 * [backup-simplify]: Simplify (+ 1 0) into 1 6.050 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 6.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 6.052 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 6.052 * [backup-simplify]: Simplify (exp 0) into 1 6.052 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.052 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.052 * [taylor]: Taking taylor expansion of N in N 6.052 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify 1 into 1 6.053 * [backup-simplify]: Simplify (/ 1 1) into 1 6.053 * [backup-simplify]: Simplify (sqrt 0) into 0 6.055 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.055 * [backup-simplify]: Simplify (* 1 0) into 0 6.056 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 1) 1)))) into 2/3 6.058 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 2/3 0)) into (- +nan.0) 6.059 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 6.059 * [taylor]: Taking taylor expansion of (+ (log (* (pow (+ N 1) 1/9) (pow (/ 1 N) 1/6))) (+ (log (* (pow (pow (+ N 1) 2) 1/9) (pow (/ 1 N) 1/3))) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N)))))) in N 6.059 * [taylor]: Taking taylor expansion of (log (* (pow (+ N 1) 1/9) (pow (/ 1 N) 1/6))) in N 6.059 * [taylor]: Taking taylor expansion of (* (pow (+ N 1) 1/9) (pow (/ 1 N) 1/6)) in N 6.059 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/9) in N 6.059 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ N 1)))) in N 6.059 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ N 1))) in N 6.059 * [taylor]: Taking taylor expansion of 1/9 in N 6.059 * [backup-simplify]: Simplify 1/9 into 1/9 6.059 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 6.059 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.059 * [taylor]: Taking taylor expansion of N in N 6.059 * [backup-simplify]: Simplify 0 into 0 6.059 * [backup-simplify]: Simplify 1 into 1 6.059 * [taylor]: Taking taylor expansion of 1 in N 6.060 * [backup-simplify]: Simplify 1 into 1 6.060 * [backup-simplify]: Simplify (+ 0 1) into 1 6.060 * [backup-simplify]: Simplify (log 1) into 0 6.061 * [backup-simplify]: Simplify (* 1/9 0) into 0 6.062 * [backup-simplify]: Simplify (+ 1 0) into 1 6.063 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.064 * [backup-simplify]: Simplify (+ (* 1/9 1) (* 0 0)) into 1/9 6.064 * [backup-simplify]: Simplify (exp 0) into 1 6.064 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 6.064 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 6.064 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 6.064 * [taylor]: Taking taylor expansion of 1/6 in N 6.064 * [backup-simplify]: Simplify 1/6 into 1/6 6.064 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.064 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.064 * [taylor]: Taking taylor expansion of N in N 6.064 * [backup-simplify]: Simplify 0 into 0 6.064 * [backup-simplify]: Simplify 1 into 1 6.065 * [backup-simplify]: Simplify (/ 1 1) into 1 6.065 * [backup-simplify]: Simplify (log 1) into 0 6.066 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.066 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 6.066 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 6.066 * [backup-simplify]: Simplify (* 1 (pow N -1/6)) into (pow (/ 1 N) 1/6) 6.066 * [backup-simplify]: Simplify (log (pow (/ 1 N) 1/6)) into (log (pow (/ 1 N) 1/6)) 6.066 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow (+ N 1) 2) 1/9) (pow (/ 1 N) 1/3))) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))))) in N 6.066 * [taylor]: Taking taylor expansion of (log (* (pow (pow (+ N 1) 2) 1/9) (pow (/ 1 N) 1/3))) in N 6.066 * [taylor]: Taking taylor expansion of (* (pow (pow (+ N 1) 2) 1/9) (pow (/ 1 N) 1/3)) in N 6.066 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/9) in N 6.066 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (+ N 1) 2)))) in N 6.066 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (+ N 1) 2))) in N 6.066 * [taylor]: Taking taylor expansion of 1/9 in N 6.066 * [backup-simplify]: Simplify 1/9 into 1/9 6.066 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 6.066 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 6.066 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.066 * [taylor]: Taking taylor expansion of N in N 6.066 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify 1 into 1 6.066 * [taylor]: Taking taylor expansion of 1 in N 6.066 * [backup-simplify]: Simplify 1 into 1 6.067 * [backup-simplify]: Simplify (+ 0 1) into 1 6.067 * [backup-simplify]: Simplify (* 1 1) into 1 6.068 * [backup-simplify]: Simplify (log 1) into 0 6.068 * [backup-simplify]: Simplify (* 1/9 0) into 0 6.069 * [backup-simplify]: Simplify (+ 1 0) into 1 6.069 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 6.071 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 6.071 * [backup-simplify]: Simplify (+ (* 1/9 2) (* 0 0)) into 2/9 6.071 * [backup-simplify]: Simplify (exp 0) into 1 6.071 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 6.071 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 6.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 6.072 * [taylor]: Taking taylor expansion of 1/3 in N 6.072 * [backup-simplify]: Simplify 1/3 into 1/3 6.072 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.072 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.072 * [taylor]: Taking taylor expansion of N in N 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 1 into 1 6.072 * [backup-simplify]: Simplify (/ 1 1) into 1 6.072 * [backup-simplify]: Simplify (log 1) into 0 6.073 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.073 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 6.073 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 6.073 * [backup-simplify]: Simplify (* 1 (pow N -1/3)) into (pow (/ 1 N) 1/3) 6.073 * [backup-simplify]: Simplify (log (pow (/ 1 N) 1/3)) into (log (pow (/ 1 N) 1/3)) 6.073 * [taylor]: Taking taylor expansion of (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N)))) in N 6.073 * [taylor]: Taking taylor expansion of (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) in N 6.074 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 6.074 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 6.074 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 6.074 * [taylor]: Taking taylor expansion of 1/3 in N 6.074 * [backup-simplify]: Simplify 1/3 into 1/3 6.074 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 6.074 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 6.074 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.074 * [taylor]: Taking taylor expansion of N in N 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 1 into 1 6.074 * [taylor]: Taking taylor expansion of 1 in N 6.074 * [backup-simplify]: Simplify 1 into 1 6.074 * [backup-simplify]: Simplify (+ 0 1) into 1 6.075 * [backup-simplify]: Simplify (* 1 1) into 1 6.075 * [backup-simplify]: Simplify (log 1) into 0 6.076 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.076 * [backup-simplify]: Simplify (+ 1 0) into 1 6.077 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 6.079 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 6.080 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 6.080 * [backup-simplify]: Simplify (exp 0) into 1 6.080 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.080 * [taylor]: Taking taylor expansion of N in N 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 1 into 1 6.081 * [backup-simplify]: Simplify (/ 1 1) into 1 6.081 * [backup-simplify]: Simplify (sqrt 0) into 0 6.083 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.083 * [backup-simplify]: Simplify (* 1 0) into 0 6.084 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 1) 1)))) into 2/3 6.086 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 2/3 0)) into (- +nan.0) 6.087 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 6.088 * [backup-simplify]: Simplify (+ (log (pow (/ 1 N) 1/3)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log (pow (/ 1 N) 1/3))) 6.089 * [backup-simplify]: Simplify (+ (log (pow (/ 1 N) 1/6)) (+ (log (- +nan.0)) (log (pow (/ 1 N) 1/3)))) into (+ (log (- +nan.0)) (+ (log (pow (/ 1 N) 1/3)) (log (pow (/ 1 N) 1/6)))) 6.090 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log (pow (/ 1 N) 1/3)) (log (pow (/ 1 N) 1/6)))) into (+ (log (- +nan.0)) (+ (log (pow (/ 1 N) 1/3)) (log (pow (/ 1 N) 1/6)))) 6.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.093 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.093 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.094 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log N)))) into 0 6.095 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.096 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/9 1) 1)))) into 1/9 6.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/9 (pow N -1/6))) into (* 1/9 (pow (/ 1 N) 1/6)) 6.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/9 (pow (/ 1 N) 1/6))) 1)) (pow (pow (/ 1 N) 1/6) 1)))) 1) into 1/9 6.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.099 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.100 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.101 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 6.102 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.103 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/9 1) 1)))) into 2/9 6.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 2/9 (pow N -1/3))) into (* 2/9 (pow (/ 1 N) 1/3)) 6.104 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2/9 (pow (/ 1 N) 1/3))) 1)) (pow (pow (/ 1 N) 1/3) 1)))) 1) into 2/9 6.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.108 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.108 * [backup-simplify]: Simplify (+ 0 0) into 0 6.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 6.112 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 6.113 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 0))) into -1/3 6.115 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow -1/3 1) 1)))) into -1/9 6.118 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 2/3 +nan.0) (* -1/9 0))) into (- +nan.0) 6.127 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 6.127 * [backup-simplify]: Simplify (+ 2/9 +nan.0) into (- +nan.0) 6.128 * [backup-simplify]: Simplify (+ 1/9 (- +nan.0)) into (- +nan.0) 6.128 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.130 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.131 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.131 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 6.132 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.132 * [backup-simplify]: Simplify (+ 0 0) into 0 6.134 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.135 * [backup-simplify]: Simplify (+ (* 1/9 -1/2) (+ (* 0 1) (* 0 0))) into -1/18 6.136 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/9 2) 2)) (* (/ (pow -1/18 1) 1)))) into -4/81 6.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/9 0) (* -4/81 (pow N -1/6)))) into (- (* 4/81 (pow (/ 1 N) 1/6))) 6.137 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/9 (pow (/ 1 N) 1/6))) 2)) (pow (pow (/ 1 N) 1/6) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/81 (pow (/ 1 N) 1/6)))) 1)) (pow (pow (/ 1 N) 1/6) 1)))) 2) into -1/18 6.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.139 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.139 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.140 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 6.141 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.141 * [backup-simplify]: Simplify (+ 0 0) into 0 6.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 6.143 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 6.143 * [backup-simplify]: Simplify (+ (* 1/9 -1) (+ (* 0 2) (* 0 0))) into -1/9 6.144 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/9 2) 2)) (* (/ (pow -1/9 1) 1)))) into -7/81 6.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 2/9 0) (* -7/81 (pow N -1/3)))) into (- (* 7/81 (pow (/ 1 N) 1/3))) 6.145 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2/9 (pow (/ 1 N) 1/3))) 2)) (pow (pow (/ 1 N) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 7/81 (pow (/ 1 N) 1/3)))) 1)) (pow (pow (/ 1 N) 1/3) 1)))) 2) into -1/9 6.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.149 * [backup-simplify]: Simplify (+ 0 0) into 0 6.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 6.152 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 2) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 2/3 6.153 * [backup-simplify]: Simplify (+ (* 1/3 2/3) (+ (* 0 -1) (+ (* 0 2) (* 0 0)))) into 2/9 6.155 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 3) 6)) (* (/ (pow 2/3 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow 2/9 1) 1)))) into 4/81 6.158 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 2/3 +nan.0) (+ (* -1/9 +nan.0) (* 4/81 0)))) into (- +nan.0) 6.181 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 6.181 * [backup-simplify]: Simplify (+ -1/9 +nan.0) into (- +nan.0) 6.182 * [backup-simplify]: Simplify (+ -1/18 (- +nan.0)) into (- +nan.0) 6.183 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.185 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (+ (log (- +nan.0)) (+ (log (pow (/ 1 N) 1/3)) (log (pow (/ 1 N) 1/6)))))) into (- (+ (log (- +nan.0)) (+ (log (pow (/ 1 N) 1/3)) (log (pow (/ 1 N) 1/6)))) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) 6.186 * [backup-simplify]: Simplify (+ (+ (log (/ (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) (sqrt (/ 1 N)))) (log (/ (* (cbrt (cbrt (+ (/ 1 N) 1))) (cbrt (cbrt (+ (/ 1 N) 1)))) (* (cbrt (sqrt (/ 1 N))) (cbrt (sqrt (/ 1 N))))))) (log (/ (cbrt (cbrt (+ (/ 1 N) 1))) (cbrt (sqrt (/ 1 N)))))) into (+ (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) (+ (log (* (pow N 1/6) (pow (+ (/ 1 N) 1) 1/9))) (log (* (pow N 1/3) (pow (pow (+ (/ 1 N) 1) 2) 1/9))))) 6.186 * [approximate]: Taking taylor expansion of (+ (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) (+ (log (* (pow N 1/6) (pow (+ (/ 1 N) 1) 1/9))) (log (* (pow N 1/3) (pow (pow (+ (/ 1 N) 1) 2) 1/9))))) in (N) around 0 6.187 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) (+ (log (* (pow N 1/6) (pow (+ (/ 1 N) 1) 1/9))) (log (* (pow N 1/3) (pow (pow (+ (/ 1 N) 1) 2) 1/9))))) in N 6.187 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) in N 6.187 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) in N 6.187 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.187 * [taylor]: Taking taylor expansion of N in N 6.187 * [backup-simplify]: Simplify 0 into 0 6.187 * [backup-simplify]: Simplify 1 into 1 6.188 * [backup-simplify]: Simplify (sqrt 0) into 0 6.189 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.189 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 6.189 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 6.189 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 6.190 * [taylor]: Taking taylor expansion of 1/3 in N 6.190 * [backup-simplify]: Simplify 1/3 into 1/3 6.190 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 6.190 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 6.190 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.190 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.190 * [taylor]: Taking taylor expansion of N in N 6.190 * [backup-simplify]: Simplify 0 into 0 6.190 * [backup-simplify]: Simplify 1 into 1 6.190 * [backup-simplify]: Simplify (/ 1 1) into 1 6.190 * [taylor]: Taking taylor expansion of 1 in N 6.190 * [backup-simplify]: Simplify 1 into 1 6.191 * [backup-simplify]: Simplify (+ 1 0) into 1 6.191 * [backup-simplify]: Simplify (* 1 1) into 1 6.191 * [backup-simplify]: Simplify (log 1) into 0 6.192 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.192 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.192 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.192 * [backup-simplify]: Simplify (* 0 (pow N -2/3)) into 0 6.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.193 * [backup-simplify]: Simplify (+ 0 1) into 1 6.194 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 6.195 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 6.196 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.196 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 2 (log N))))) into 2/3 6.197 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) 6.197 * [backup-simplify]: Simplify (+ (* 0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 6.197 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) into (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 6.197 * [taylor]: Taking taylor expansion of (+ (log (* (pow N 1/6) (pow (+ (/ 1 N) 1) 1/9))) (log (* (pow N 1/3) (pow (pow (+ (/ 1 N) 1) 2) 1/9)))) in N 6.197 * [taylor]: Taking taylor expansion of (log (* (pow N 1/6) (pow (+ (/ 1 N) 1) 1/9))) in N 6.197 * [taylor]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1) 1/9)) in N 6.197 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 6.197 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 6.197 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 6.197 * [taylor]: Taking taylor expansion of 1/6 in N 6.198 * [backup-simplify]: Simplify 1/6 into 1/6 6.198 * [taylor]: Taking taylor expansion of (log N) in N 6.198 * [taylor]: Taking taylor expansion of N in N 6.198 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify 1 into 1 6.198 * [backup-simplify]: Simplify (log 1) into 0 6.198 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.199 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 6.199 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 6.199 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/9) in N 6.199 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ (/ 1 N) 1)))) in N 6.199 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ (/ 1 N) 1))) in N 6.199 * [taylor]: Taking taylor expansion of 1/9 in N 6.199 * [backup-simplify]: Simplify 1/9 into 1/9 6.199 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 6.199 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.199 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.199 * [taylor]: Taking taylor expansion of N in N 6.199 * [backup-simplify]: Simplify 0 into 0 6.199 * [backup-simplify]: Simplify 1 into 1 6.199 * [backup-simplify]: Simplify (/ 1 1) into 1 6.199 * [taylor]: Taking taylor expansion of 1 in N 6.199 * [backup-simplify]: Simplify 1 into 1 6.200 * [backup-simplify]: Simplify (+ 1 0) into 1 6.200 * [backup-simplify]: Simplify (log 1) into 0 6.200 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.201 * [backup-simplify]: Simplify (* 1/9 (- (log N))) into (* -1/9 (log N)) 6.201 * [backup-simplify]: Simplify (exp (* -1/9 (log N))) into (pow N -1/9) 6.201 * [backup-simplify]: Simplify (* (pow N 1/6) (pow N -1/9)) into (pow N 1/18) 6.201 * [backup-simplify]: Simplify (log (pow N 1/18)) into (log (pow N 1/18)) 6.201 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (pow (pow (+ (/ 1 N) 1) 2) 1/9))) in N 6.201 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (pow (pow (+ (/ 1 N) 1) 2) 1/9)) in N 6.201 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 6.201 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 6.201 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 6.201 * [taylor]: Taking taylor expansion of 1/3 in N 6.201 * [backup-simplify]: Simplify 1/3 into 1/3 6.201 * [taylor]: Taking taylor expansion of (log N) in N 6.201 * [taylor]: Taking taylor expansion of N in N 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 1 into 1 6.201 * [backup-simplify]: Simplify (log 1) into 0 6.202 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.202 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 6.202 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 6.202 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/9) in N 6.202 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (+ (/ 1 N) 1) 2)))) in N 6.202 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (+ (/ 1 N) 1) 2))) in N 6.202 * [taylor]: Taking taylor expansion of 1/9 in N 6.202 * [backup-simplify]: Simplify 1/9 into 1/9 6.202 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 6.202 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 6.202 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.202 * [taylor]: Taking taylor expansion of N in N 6.202 * [backup-simplify]: Simplify 0 into 0 6.202 * [backup-simplify]: Simplify 1 into 1 6.203 * [backup-simplify]: Simplify (/ 1 1) into 1 6.203 * [taylor]: Taking taylor expansion of 1 in N 6.203 * [backup-simplify]: Simplify 1 into 1 6.203 * [backup-simplify]: Simplify (+ 1 0) into 1 6.203 * [backup-simplify]: Simplify (* 1 1) into 1 6.204 * [backup-simplify]: Simplify (log 1) into 0 6.204 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.204 * [backup-simplify]: Simplify (* 1/9 (- (* 2 (log N)))) into (* -2/9 (log N)) 6.205 * [backup-simplify]: Simplify (exp (* -2/9 (log N))) into (pow N -2/9) 6.205 * [backup-simplify]: Simplify (* (pow N 1/3) (pow N -2/9)) into (pow N 1/9) 6.205 * [backup-simplify]: Simplify (log (pow N 1/9)) into (log (pow N 1/9)) 6.205 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) (+ (log (* (pow N 1/6) (pow (+ (/ 1 N) 1) 1/9))) (log (* (pow N 1/3) (pow (pow (+ (/ 1 N) 1) 2) 1/9))))) in N 6.205 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) in N 6.205 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) in N 6.205 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.205 * [taylor]: Taking taylor expansion of N in N 6.205 * [backup-simplify]: Simplify 0 into 0 6.205 * [backup-simplify]: Simplify 1 into 1 6.205 * [backup-simplify]: Simplify (sqrt 0) into 0 6.207 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.207 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 6.207 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 6.207 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 6.207 * [taylor]: Taking taylor expansion of 1/3 in N 6.207 * [backup-simplify]: Simplify 1/3 into 1/3 6.207 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 6.207 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 6.207 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.207 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.207 * [taylor]: Taking taylor expansion of N in N 6.207 * [backup-simplify]: Simplify 0 into 0 6.207 * [backup-simplify]: Simplify 1 into 1 6.208 * [backup-simplify]: Simplify (/ 1 1) into 1 6.208 * [taylor]: Taking taylor expansion of 1 in N 6.208 * [backup-simplify]: Simplify 1 into 1 6.208 * [backup-simplify]: Simplify (+ 1 0) into 1 6.209 * [backup-simplify]: Simplify (* 1 1) into 1 6.209 * [backup-simplify]: Simplify (log 1) into 0 6.210 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.210 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.210 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.210 * [backup-simplify]: Simplify (* 0 (pow N -2/3)) into 0 6.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.211 * [backup-simplify]: Simplify (+ 0 1) into 1 6.212 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 6.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 6.214 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.214 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 2 (log N))))) into 2/3 6.215 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) 6.216 * [backup-simplify]: Simplify (+ (* 0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 6.216 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) into (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 6.216 * [taylor]: Taking taylor expansion of (+ (log (* (pow N 1/6) (pow (+ (/ 1 N) 1) 1/9))) (log (* (pow N 1/3) (pow (pow (+ (/ 1 N) 1) 2) 1/9)))) in N 6.216 * [taylor]: Taking taylor expansion of (log (* (pow N 1/6) (pow (+ (/ 1 N) 1) 1/9))) in N 6.216 * [taylor]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1) 1/9)) in N 6.216 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 6.216 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 6.216 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 6.216 * [taylor]: Taking taylor expansion of 1/6 in N 6.216 * [backup-simplify]: Simplify 1/6 into 1/6 6.216 * [taylor]: Taking taylor expansion of (log N) in N 6.216 * [taylor]: Taking taylor expansion of N in N 6.216 * [backup-simplify]: Simplify 0 into 0 6.216 * [backup-simplify]: Simplify 1 into 1 6.217 * [backup-simplify]: Simplify (log 1) into 0 6.218 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.218 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 6.218 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 6.218 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/9) in N 6.218 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ (/ 1 N) 1)))) in N 6.218 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ (/ 1 N) 1))) in N 6.218 * [taylor]: Taking taylor expansion of 1/9 in N 6.218 * [backup-simplify]: Simplify 1/9 into 1/9 6.218 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 6.219 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.219 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.219 * [taylor]: Taking taylor expansion of N in N 6.219 * [backup-simplify]: Simplify 0 into 0 6.219 * [backup-simplify]: Simplify 1 into 1 6.219 * [backup-simplify]: Simplify (/ 1 1) into 1 6.219 * [taylor]: Taking taylor expansion of 1 in N 6.219 * [backup-simplify]: Simplify 1 into 1 6.220 * [backup-simplify]: Simplify (+ 1 0) into 1 6.220 * [backup-simplify]: Simplify (log 1) into 0 6.221 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.221 * [backup-simplify]: Simplify (* 1/9 (- (log N))) into (* -1/9 (log N)) 6.221 * [backup-simplify]: Simplify (exp (* -1/9 (log N))) into (pow N -1/9) 6.221 * [backup-simplify]: Simplify (* (pow N 1/6) (pow N -1/9)) into (pow N 1/18) 6.222 * [backup-simplify]: Simplify (log (pow N 1/18)) into (log (pow N 1/18)) 6.222 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (pow (pow (+ (/ 1 N) 1) 2) 1/9))) in N 6.222 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (pow (pow (+ (/ 1 N) 1) 2) 1/9)) in N 6.222 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 6.222 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 6.222 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 6.222 * [taylor]: Taking taylor expansion of 1/3 in N 6.222 * [backup-simplify]: Simplify 1/3 into 1/3 6.222 * [taylor]: Taking taylor expansion of (log N) in N 6.222 * [taylor]: Taking taylor expansion of N in N 6.222 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify 1 into 1 6.223 * [backup-simplify]: Simplify (log 1) into 0 6.223 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.223 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 6.223 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 6.223 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/9) in N 6.223 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (+ (/ 1 N) 1) 2)))) in N 6.223 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (+ (/ 1 N) 1) 2))) in N 6.224 * [taylor]: Taking taylor expansion of 1/9 in N 6.224 * [backup-simplify]: Simplify 1/9 into 1/9 6.224 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 6.224 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 6.224 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.224 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.224 * [taylor]: Taking taylor expansion of N in N 6.224 * [backup-simplify]: Simplify 0 into 0 6.224 * [backup-simplify]: Simplify 1 into 1 6.224 * [backup-simplify]: Simplify (/ 1 1) into 1 6.224 * [taylor]: Taking taylor expansion of 1 in N 6.224 * [backup-simplify]: Simplify 1 into 1 6.225 * [backup-simplify]: Simplify (+ 1 0) into 1 6.225 * [backup-simplify]: Simplify (* 1 1) into 1 6.226 * [backup-simplify]: Simplify (log 1) into 0 6.226 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.227 * [backup-simplify]: Simplify (* 1/9 (- (* 2 (log N)))) into (* -2/9 (log N)) 6.227 * [backup-simplify]: Simplify (exp (* -2/9 (log N))) into (pow N -2/9) 6.227 * [backup-simplify]: Simplify (* (pow N 1/3) (pow N -2/9)) into (pow N 1/9) 6.227 * [backup-simplify]: Simplify (log (pow N 1/9)) into (log (pow N 1/9)) 6.228 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) into (+ (log N) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) 6.228 * [backup-simplify]: Simplify (+ (log (pow N 1/18)) (log (pow N 1/9))) into (+ (log (pow N 1/9)) (log (pow N 1/18))) 6.229 * [backup-simplify]: Simplify (+ (+ (log N) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) (+ (log (pow N 1/9)) (log (pow N 1/18)))) into (+ (log (pow N 1/9)) (+ (log N) (+ (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) (log (pow N 1/18))))) 6.229 * [backup-simplify]: Simplify (+ (log (pow N 1/9)) (+ (log N) (+ (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) (log (pow N 1/18))))) into (+ (log (pow N 1/9)) (+ (log N) (+ (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) (log (pow N 1/18))))) 6.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.231 * [backup-simplify]: Simplify (+ 0 0) into 0 6.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 6.234 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 6.235 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.236 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 6.238 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 6.241 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.242 * [backup-simplify]: Simplify (+ (* 0 (* -1/9 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3)))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 6.242 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 1)))) 1) into +nan.0 6.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.244 * [backup-simplify]: Simplify (+ 0 1) into 1 6.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.246 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.246 * [backup-simplify]: Simplify (+ (* 1/9 1) (* 0 (- (log N)))) into 1/9 6.247 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 1/9 1) 1)))) into (* 1/9 (pow (/ 1 N) 1/9)) 6.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.249 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.250 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log N))) into 0 6.251 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.251 * [backup-simplify]: Simplify (+ (* (pow N 1/6) (* 1/9 (pow (/ 1 N) 1/9))) (* 0 (pow N -1/9))) into (* 1/9 (pow N 1/18)) 6.251 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/9 (pow N 1/18))) 1)) (pow (pow N 1/18) 1)))) 1) into 1/9 6.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.253 * [backup-simplify]: Simplify (+ 0 1) into 1 6.253 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 6.254 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 6.255 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.255 * [backup-simplify]: Simplify (+ (* 1/9 2) (* 0 (- (* 2 (log N))))) into 2/9 6.256 * [backup-simplify]: Simplify (* (exp (* -2/9 (log N))) (+ (* (/ (pow 2/9 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/9)) 6.258 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.258 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.259 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 6.259 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.260 * [backup-simplify]: Simplify (+ (* (pow N 1/3) (* 2/9 (pow (/ 1 (pow N 2)) 1/9))) (* 0 (pow N -2/9))) into (* 2/9 (pow N 1/9)) 6.260 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2/9 (pow N 1/9))) 1)) (pow (pow N 1/9) 1)))) 1) into 2/9 6.260 * [backup-simplify]: Simplify (+ 1/9 2/9) into 1/3 6.260 * [backup-simplify]: Simplify (+ +nan.0 1/3) into (- +nan.0) 6.261 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.262 * [backup-simplify]: Simplify (+ 0 0) into 0 6.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 6.265 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 2) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 2/3 6.266 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.267 * [backup-simplify]: Simplify (+ (* 1/3 2/3) (+ (* 0 -1) (+ (* 0 2) (* 0 (- (* 2 (log N))))))) into 2/9 6.269 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 3) 6)) (* (/ (pow 2/3 1) 1) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 2/9 1) 1)))) into (* 4/81 (pow (/ 1 (pow N 2)) 1/3)) 6.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.272 * [backup-simplify]: Simplify (+ (* 0 (* 4/81 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* -1/9 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3))))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 6.273 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 2)) (pow (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 1)))) 2) into +nan.0 6.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.273 * [backup-simplify]: Simplify (+ 0 0) into 0 6.275 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.275 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.276 * [backup-simplify]: Simplify (+ (* 1/9 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/18) 6.277 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 1/9 2) 2)) (* (/ (pow (- 1/18) 1) 1)))) into (* -4/81 (pow (/ 1 N) 1/9)) 6.279 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.279 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.280 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log N)))) into 0 6.280 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.281 * [backup-simplify]: Simplify (+ (* (pow N 1/6) (* -4/81 (pow (/ 1 N) 1/9))) (+ (* 0 (* 1/9 (pow (/ 1 N) 1/9))) (* 0 (pow N -1/9)))) into (- (* 4/81 (pow N 1/18))) 6.281 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/9 (pow N 1/18))) 2)) (pow (pow N 1/18) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/81 (pow N 1/18)))) 1)) (pow (pow N 1/18) 1)))) 2) into -1/18 6.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.282 * [backup-simplify]: Simplify (+ 0 0) into 0 6.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 6.284 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 6.284 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.285 * [backup-simplify]: Simplify (+ (* 1/9 -1) (+ (* 0 2) (* 0 (- (* 2 (log N)))))) into (- 1/9) 6.286 * [backup-simplify]: Simplify (* (exp (* -2/9 (log N))) (+ (* (/ (pow 2/9 2) 2)) (* (/ (pow (- 1/9) 1) 1)))) into (* -7/81 (pow (/ 1 (pow N 2)) 1/9)) 6.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.288 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.288 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 6.289 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.289 * [backup-simplify]: Simplify (+ (* (pow N 1/3) (* -7/81 (pow (/ 1 (pow N 2)) 1/9))) (+ (* 0 (* 2/9 (pow (/ 1 (pow N 2)) 1/9))) (* 0 (pow N -2/9)))) into (- (* 7/81 (pow N 1/9))) 6.290 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2/9 (pow N 1/9))) 2)) (pow (pow N 1/9) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 7/81 (pow N 1/9)))) 1)) (pow (pow N 1/9) 1)))) 2) into -1/9 6.290 * [backup-simplify]: Simplify (+ -1/18 -1/9) into -1/6 6.290 * [backup-simplify]: Simplify (+ +nan.0 -1/6) into (- +nan.0) 6.290 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.291 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (pow (/ 1 N) 1/9)) (+ (log (/ 1 N)) (+ (log (- (* +nan.0 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)))) (log (pow (/ 1 N) 1/18))))))) into (- (+ (log (/ 1 N)) (+ (log (- (* +nan.0 (pow (pow N 2) 1/3)))) (+ (log (pow (/ 1 N) 1/9)) (log (pow (/ 1 N) 1/18))))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 6.292 * [backup-simplify]: Simplify (+ (+ (log (/ (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) (sqrt (/ 1 (- N))))) (log (/ (* (cbrt (cbrt (+ (/ 1 (- N)) 1))) (cbrt (cbrt (+ (/ 1 (- N)) 1)))) (* (cbrt (sqrt (/ 1 (- N)))) (cbrt (sqrt (/ 1 (- N)))))))) (log (/ (cbrt (cbrt (+ (/ 1 (- N)) 1))) (cbrt (sqrt (/ 1 (- N))))))) into (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/9) (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3))) (log (* (pow (- 1 (/ 1 N)) 1/9) (pow (/ 1 (sqrt (/ -1 N))) 1/3))))) 6.292 * [approximate]: Taking taylor expansion of (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/9) (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3))) (log (* (pow (- 1 (/ 1 N)) 1/9) (pow (/ 1 (sqrt (/ -1 N))) 1/3))))) in (N) around 0 6.292 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/9) (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3))) (log (* (pow (- 1 (/ 1 N)) 1/9) (pow (/ 1 (sqrt (/ -1 N))) 1/3))))) in N 6.292 * [taylor]: Taking taylor expansion of (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) in N 6.292 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 6.292 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 6.292 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 6.292 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 6.292 * [taylor]: Taking taylor expansion of 1/3 in N 6.292 * [backup-simplify]: Simplify 1/3 into 1/3 6.292 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 6.292 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 6.292 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.292 * [taylor]: Taking taylor expansion of 1 in N 6.292 * [backup-simplify]: Simplify 1 into 1 6.292 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.292 * [taylor]: Taking taylor expansion of N in N 6.292 * [backup-simplify]: Simplify 0 into 0 6.292 * [backup-simplify]: Simplify 1 into 1 6.292 * [backup-simplify]: Simplify (/ 1 1) into 1 6.293 * [backup-simplify]: Simplify (- 1) into -1 6.293 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.293 * [backup-simplify]: Simplify (* -1 -1) into 1 6.293 * [backup-simplify]: Simplify (log 1) into 0 6.294 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.294 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.294 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.294 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 6.294 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.294 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.294 * [taylor]: Taking taylor expansion of -1 in N 6.294 * [backup-simplify]: Simplify -1 into -1 6.294 * [taylor]: Taking taylor expansion of N in N 6.294 * [backup-simplify]: Simplify 0 into 0 6.294 * [backup-simplify]: Simplify 1 into 1 6.294 * [backup-simplify]: Simplify (/ -1 1) into -1 6.295 * [backup-simplify]: Simplify (sqrt 0) into 0 6.295 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.296 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 6.296 * [backup-simplify]: Simplify (* (pow N -2/3) +nan.0) into (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 6.296 * [backup-simplify]: Simplify (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 6.296 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/9) (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3))) (log (* (pow (- 1 (/ 1 N)) 1/9) (pow (/ 1 (sqrt (/ -1 N))) 1/3)))) in N 6.296 * [taylor]: Taking taylor expansion of (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/9) (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3))) in N 6.296 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 N)) 2) 1/9) (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3)) in N 6.296 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/9) in N 6.296 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (- 1 (/ 1 N)) 2)))) in N 6.296 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (- 1 (/ 1 N)) 2))) in N 6.296 * [taylor]: Taking taylor expansion of 1/9 in N 6.296 * [backup-simplify]: Simplify 1/9 into 1/9 6.296 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 6.296 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 6.296 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.296 * [taylor]: Taking taylor expansion of 1 in N 6.296 * [backup-simplify]: Simplify 1 into 1 6.296 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.296 * [taylor]: Taking taylor expansion of N in N 6.296 * [backup-simplify]: Simplify 0 into 0 6.296 * [backup-simplify]: Simplify 1 into 1 6.296 * [backup-simplify]: Simplify (/ 1 1) into 1 6.297 * [backup-simplify]: Simplify (- 1) into -1 6.297 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.297 * [backup-simplify]: Simplify (* -1 -1) into 1 6.297 * [backup-simplify]: Simplify (log 1) into 0 6.304 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.304 * [backup-simplify]: Simplify (* 1/9 (- (* 2 (log N)))) into (* -2/9 (log N)) 6.304 * [backup-simplify]: Simplify (exp (* -2/9 (log N))) into (pow N -2/9) 6.304 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3) in N 6.305 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt (/ -1 N)) 2))))) in N 6.305 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt (/ -1 N)) 2)))) in N 6.305 * [taylor]: Taking taylor expansion of 1/3 in N 6.305 * [backup-simplify]: Simplify 1/3 into 1/3 6.305 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt (/ -1 N)) 2))) in N 6.305 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt (/ -1 N)) 2)) in N 6.305 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 2) in N 6.305 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.305 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.305 * [taylor]: Taking taylor expansion of -1 in N 6.305 * [backup-simplify]: Simplify -1 into -1 6.305 * [taylor]: Taking taylor expansion of N in N 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify 1 into 1 6.307 * [backup-simplify]: Simplify (/ -1 1) into -1 6.307 * [backup-simplify]: Simplify (sqrt 0) into 0 6.309 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.309 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 6.310 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 6.310 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.311 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 6.313 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 6.314 * [backup-simplify]: Simplify (* (pow N -2/9) (pow +nan.0 1/3)) into (* (pow (/ 1 (pow N 2)) 1/9) (pow +nan.0 1/3)) 6.314 * [backup-simplify]: Simplify (log (* (pow (/ 1 (pow N 2)) 1/9) (pow +nan.0 1/3))) into (log (* (pow (/ 1 (pow N 2)) 1/9) (pow +nan.0 1/3))) 6.314 * [taylor]: Taking taylor expansion of (log (* (pow (- 1 (/ 1 N)) 1/9) (pow (/ 1 (sqrt (/ -1 N))) 1/3))) in N 6.314 * [taylor]: Taking taylor expansion of (* (pow (- 1 (/ 1 N)) 1/9) (pow (/ 1 (sqrt (/ -1 N))) 1/3)) in N 6.314 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/9) in N 6.314 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (- 1 (/ 1 N))))) in N 6.314 * [taylor]: Taking taylor expansion of (* 1/9 (log (- 1 (/ 1 N)))) in N 6.314 * [taylor]: Taking taylor expansion of 1/9 in N 6.314 * [backup-simplify]: Simplify 1/9 into 1/9 6.314 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 6.314 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.314 * [taylor]: Taking taylor expansion of 1 in N 6.315 * [backup-simplify]: Simplify 1 into 1 6.315 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.315 * [taylor]: Taking taylor expansion of N in N 6.315 * [backup-simplify]: Simplify 0 into 0 6.315 * [backup-simplify]: Simplify 1 into 1 6.315 * [backup-simplify]: Simplify (/ 1 1) into 1 6.315 * [backup-simplify]: Simplify (- 1) into -1 6.316 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.316 * [backup-simplify]: Simplify (log -1) into (log -1) 6.317 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.317 * [backup-simplify]: Simplify (* 1/9 (- (log -1) (log N))) into (* 1/9 (- (log -1) (log N))) 6.318 * [backup-simplify]: Simplify (exp (* 1/9 (- (log -1) (log N)))) into (exp (* 1/9 (- (log -1) (log N)))) 6.318 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 N))) 1/3) in N 6.318 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt (/ -1 N)))))) in N 6.318 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt (/ -1 N))))) in N 6.318 * [taylor]: Taking taylor expansion of 1/3 in N 6.318 * [backup-simplify]: Simplify 1/3 into 1/3 6.318 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 6.318 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 6.318 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.318 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.318 * [taylor]: Taking taylor expansion of -1 in N 6.318 * [backup-simplify]: Simplify -1 into -1 6.318 * [taylor]: Taking taylor expansion of N in N 6.318 * [backup-simplify]: Simplify 0 into 0 6.318 * [backup-simplify]: Simplify 1 into 1 6.319 * [backup-simplify]: Simplify (/ -1 1) into -1 6.319 * [backup-simplify]: Simplify (sqrt 0) into 0 6.320 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.321 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 6.321 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.322 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 6.324 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 6.325 * [backup-simplify]: Simplify (* (exp (* 1/9 (- (log -1) (log N)))) (pow +nan.0 1/3)) into (* (pow +nan.0 1/3) (exp (* 1/9 (- (log -1) (log N))))) 6.326 * [backup-simplify]: Simplify (log (* (pow +nan.0 1/3) (exp (* 1/9 (- (log -1) (log N)))))) into (log (* (pow +nan.0 1/3) (exp (* 1/9 (- (log -1) (log N)))))) 6.326 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/9) (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3))) (log (* (pow (- 1 (/ 1 N)) 1/9) (pow (/ 1 (sqrt (/ -1 N))) 1/3))))) in N 6.326 * [taylor]: Taking taylor expansion of (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) in N 6.326 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 6.326 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 6.326 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 6.326 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 6.326 * [taylor]: Taking taylor expansion of 1/3 in N 6.326 * [backup-simplify]: Simplify 1/3 into 1/3 6.326 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 6.326 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 6.326 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.326 * [taylor]: Taking taylor expansion of 1 in N 6.326 * [backup-simplify]: Simplify 1 into 1 6.326 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.326 * [taylor]: Taking taylor expansion of N in N 6.326 * [backup-simplify]: Simplify 0 into 0 6.326 * [backup-simplify]: Simplify 1 into 1 6.327 * [backup-simplify]: Simplify (/ 1 1) into 1 6.327 * [backup-simplify]: Simplify (- 1) into -1 6.327 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.328 * [backup-simplify]: Simplify (* -1 -1) into 1 6.328 * [backup-simplify]: Simplify (log 1) into 0 6.329 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.329 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.329 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.329 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 6.329 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.329 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.329 * [taylor]: Taking taylor expansion of -1 in N 6.329 * [backup-simplify]: Simplify -1 into -1 6.329 * [taylor]: Taking taylor expansion of N in N 6.329 * [backup-simplify]: Simplify 0 into 0 6.329 * [backup-simplify]: Simplify 1 into 1 6.330 * [backup-simplify]: Simplify (/ -1 1) into -1 6.330 * [backup-simplify]: Simplify (sqrt 0) into 0 6.332 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.332 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 6.332 * [backup-simplify]: Simplify (* (pow N -2/3) +nan.0) into (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 6.332 * [backup-simplify]: Simplify (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 6.333 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/9) (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3))) (log (* (pow (- 1 (/ 1 N)) 1/9) (pow (/ 1 (sqrt (/ -1 N))) 1/3)))) in N 6.333 * [taylor]: Taking taylor expansion of (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/9) (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3))) in N 6.333 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 N)) 2) 1/9) (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3)) in N 6.333 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/9) in N 6.333 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (- 1 (/ 1 N)) 2)))) in N 6.333 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (- 1 (/ 1 N)) 2))) in N 6.333 * [taylor]: Taking taylor expansion of 1/9 in N 6.333 * [backup-simplify]: Simplify 1/9 into 1/9 6.333 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 6.333 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 6.333 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.333 * [taylor]: Taking taylor expansion of 1 in N 6.333 * [backup-simplify]: Simplify 1 into 1 6.333 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.333 * [taylor]: Taking taylor expansion of N in N 6.333 * [backup-simplify]: Simplify 0 into 0 6.333 * [backup-simplify]: Simplify 1 into 1 6.334 * [backup-simplify]: Simplify (/ 1 1) into 1 6.334 * [backup-simplify]: Simplify (- 1) into -1 6.335 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.335 * [backup-simplify]: Simplify (* -1 -1) into 1 6.336 * [backup-simplify]: Simplify (log 1) into 0 6.336 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.336 * [backup-simplify]: Simplify (* 1/9 (- (* 2 (log N)))) into (* -2/9 (log N)) 6.336 * [backup-simplify]: Simplify (exp (* -2/9 (log N))) into (pow N -2/9) 6.336 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3) in N 6.336 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt (/ -1 N)) 2))))) in N 6.336 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt (/ -1 N)) 2)))) in N 6.336 * [taylor]: Taking taylor expansion of 1/3 in N 6.336 * [backup-simplify]: Simplify 1/3 into 1/3 6.337 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt (/ -1 N)) 2))) in N 6.337 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt (/ -1 N)) 2)) in N 6.337 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 2) in N 6.337 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.337 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.337 * [taylor]: Taking taylor expansion of -1 in N 6.337 * [backup-simplify]: Simplify -1 into -1 6.337 * [taylor]: Taking taylor expansion of N in N 6.337 * [backup-simplify]: Simplify 0 into 0 6.337 * [backup-simplify]: Simplify 1 into 1 6.337 * [backup-simplify]: Simplify (/ -1 1) into -1 6.338 * [backup-simplify]: Simplify (sqrt 0) into 0 6.339 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.340 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 6.340 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 6.341 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.342 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 6.343 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 6.344 * [backup-simplify]: Simplify (* (pow N -2/9) (pow +nan.0 1/3)) into (* (pow (/ 1 (pow N 2)) 1/9) (pow +nan.0 1/3)) 6.344 * [backup-simplify]: Simplify (log (* (pow (/ 1 (pow N 2)) 1/9) (pow +nan.0 1/3))) into (log (* (pow (/ 1 (pow N 2)) 1/9) (pow +nan.0 1/3))) 6.344 * [taylor]: Taking taylor expansion of (log (* (pow (- 1 (/ 1 N)) 1/9) (pow (/ 1 (sqrt (/ -1 N))) 1/3))) in N 6.344 * [taylor]: Taking taylor expansion of (* (pow (- 1 (/ 1 N)) 1/9) (pow (/ 1 (sqrt (/ -1 N))) 1/3)) in N 6.344 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/9) in N 6.345 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (- 1 (/ 1 N))))) in N 6.345 * [taylor]: Taking taylor expansion of (* 1/9 (log (- 1 (/ 1 N)))) in N 6.345 * [taylor]: Taking taylor expansion of 1/9 in N 6.345 * [backup-simplify]: Simplify 1/9 into 1/9 6.345 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 6.345 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.345 * [taylor]: Taking taylor expansion of 1 in N 6.345 * [backup-simplify]: Simplify 1 into 1 6.345 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.345 * [taylor]: Taking taylor expansion of N in N 6.345 * [backup-simplify]: Simplify 0 into 0 6.345 * [backup-simplify]: Simplify 1 into 1 6.345 * [backup-simplify]: Simplify (/ 1 1) into 1 6.346 * [backup-simplify]: Simplify (- 1) into -1 6.346 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.347 * [backup-simplify]: Simplify (log -1) into (log -1) 6.347 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.348 * [backup-simplify]: Simplify (* 1/9 (- (log -1) (log N))) into (* 1/9 (- (log -1) (log N))) 6.348 * [backup-simplify]: Simplify (exp (* 1/9 (- (log -1) (log N)))) into (exp (* 1/9 (- (log -1) (log N)))) 6.348 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 N))) 1/3) in N 6.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt (/ -1 N)))))) in N 6.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt (/ -1 N))))) in N 6.349 * [taylor]: Taking taylor expansion of 1/3 in N 6.349 * [backup-simplify]: Simplify 1/3 into 1/3 6.349 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 6.349 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 6.349 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.349 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.349 * [taylor]: Taking taylor expansion of -1 in N 6.349 * [backup-simplify]: Simplify -1 into -1 6.349 * [taylor]: Taking taylor expansion of N in N 6.349 * [backup-simplify]: Simplify 0 into 0 6.349 * [backup-simplify]: Simplify 1 into 1 6.349 * [backup-simplify]: Simplify (/ -1 1) into -1 6.350 * [backup-simplify]: Simplify (sqrt 0) into 0 6.351 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.351 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 6.352 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.353 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 6.354 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 6.355 * [backup-simplify]: Simplify (* (exp (* 1/9 (- (log -1) (log N)))) (pow +nan.0 1/3)) into (* (pow +nan.0 1/3) (exp (* 1/9 (- (log -1) (log N))))) 6.356 * [backup-simplify]: Simplify (log (* (pow +nan.0 1/3) (exp (* 1/9 (- (log -1) (log N)))))) into (log (* (pow +nan.0 1/3) (exp (* 1/9 (- (log -1) (log N)))))) 6.358 * [backup-simplify]: Simplify (+ (log (* (pow (/ 1 (pow N 2)) 1/9) (pow +nan.0 1/3))) (log (* (pow +nan.0 1/3) (exp (* 1/9 (- (log -1) (log N))))))) into (+ (log (* (pow (/ 1 (pow N 2)) 1/9) (pow +nan.0 1/3))) (log (* (pow +nan.0 1/3) (exp (* 1/9 (- (log -1) (log N))))))) 6.360 * [backup-simplify]: Simplify (+ (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) (+ (log (* (pow (/ 1 (pow N 2)) 1/9) (pow +nan.0 1/3))) (log (* (pow +nan.0 1/3) (exp (* 1/9 (- (log -1) (log N)))))))) into (+ (log (* (pow (/ 1 (pow N 2)) 1/9) (pow +nan.0 1/3))) (+ (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) (log (* (pow +nan.0 1/3) (exp (* 1/9 (- (log -1) (log N)))))))) 6.362 * [backup-simplify]: Simplify (+ (log (* (pow (/ 1 (pow N 2)) 1/9) (pow +nan.0 1/3))) (+ (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) (log (* (pow +nan.0 1/3) (exp (* 1/9 (- (log -1) (log N)))))))) into (+ (log (* (pow (/ 1 (pow N 2)) 1/9) (pow +nan.0 1/3))) (+ (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) (log (* (pow +nan.0 1/3) (exp (* 1/9 (- (log -1) (log N)))))))) 6.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.366 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.368 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.370 * [backup-simplify]: Simplify (- 0) into 0 6.370 * [backup-simplify]: Simplify (+ 1 0) into 1 6.371 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2 6.373 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 6.374 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.374 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (- (* 2 (log N))))) into (- 2/3) 6.376 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) 6.376 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (- +nan.0)) (* (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) +nan.0)) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 6.377 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 1)))) 1) into +nan.0 6.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.381 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.383 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 6.385 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 6.393 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.395 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (log +nan.0))) into (- +nan.0) 6.402 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 6.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.403 * [backup-simplify]: Simplify (- 0) into 0 6.404 * [backup-simplify]: Simplify (+ 1 0) into 1 6.405 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2 6.406 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 6.407 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.407 * [backup-simplify]: Simplify (+ (* 1/9 -2) (* 0 (- (* 2 (log N))))) into (- 2/9) 6.408 * [backup-simplify]: Simplify (* (exp (* -2/9 (log N))) (+ (* (/ (pow (- 2/9) 1) 1)))) into (* -2/9 (pow (/ 1 (pow N 2)) 1/9)) 6.410 * [backup-simplify]: Simplify (+ (* (pow N -2/9) (* +nan.0 (pow +nan.0 1/3))) (* (* -2/9 (pow (/ 1 (pow N 2)) 1/9)) (pow +nan.0 1/3))) into (- (* +nan.0 (* (pow (/ 1 (pow N 2)) 1/9) (pow +nan.0 1/3)))) 6.412 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (* (pow (/ 1 (pow N 2)) 1/9) (pow +nan.0 1/3))))) 1)) (pow (* (pow (/ 1 (pow N 2)) 1/9) (pow +nan.0 1/3)) 1)))) 1) into +nan.0 6.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.417 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.419 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.428 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.431 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (log +nan.0))) into (- +nan.0) 6.437 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 6.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.438 * [backup-simplify]: Simplify (- 0) into 0 6.439 * [backup-simplify]: Simplify (+ 1 0) into 1 6.440 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 6.441 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.442 * [backup-simplify]: Simplify (+ (* 1/9 -1) (* 0 (- (log -1) (log N)))) into (- 1/9) 6.443 * [backup-simplify]: Simplify (* (exp (* 1/9 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/9) 1) 1)))) into (* -1/9 (exp (* 1/9 (- (log -1) (log N))))) 6.446 * [backup-simplify]: Simplify (+ (* (exp (* 1/9 (- (log -1) (log N)))) (* +nan.0 (pow +nan.0 1/3))) (* (* -1/9 (exp (* 1/9 (- (log -1) (log N))))) (pow +nan.0 1/3))) into (- (* +nan.0 (* (pow +nan.0 1/3) (exp (* 1/9 (- (log -1) (log N))))))) 6.448 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (* (pow +nan.0 1/3) (exp (* 1/9 (- (log -1) (log N)))))))) 1)) (pow (* (pow +nan.0 1/3) (exp (* 1/9 (- (log -1) (log N))))) 1)))) 1) into +nan.0 6.448 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.449 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 6.449 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.459 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 6.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.459 * [backup-simplify]: Simplify (- 0) into 0 6.460 * [backup-simplify]: Simplify (+ 0 0) into 0 6.460 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 6.462 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 6.462 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.463 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 6.464 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 6.464 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (- +nan.0)) (+ (* (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) (- +nan.0)) (* (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) +nan.0))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 6.465 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 2)) (pow (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 1)))) 2) into +nan.0 6.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.468 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.470 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 6.476 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 6.492 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow +nan.0 1)))) 2) into +nan.0 6.495 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (log +nan.0)))) into (- +nan.0) 6.505 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 2) 2)) (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 6.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.506 * [backup-simplify]: Simplify (- 0) into 0 6.507 * [backup-simplify]: Simplify (+ 0 0) into 0 6.508 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 6.512 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 6.512 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.513 * [backup-simplify]: Simplify (+ (* 1/9 -1) (+ (* 0 -2) (* 0 (- (* 2 (log N)))))) into (- 1/9) 6.515 * [backup-simplify]: Simplify (* (exp (* -2/9 (log N))) (+ (* (/ (pow (- 2/9) 2) 2)) (* (/ (pow (- 1/9) 1) 1)))) into (* -7/81 (pow (/ 1 (pow N 2)) 1/9)) 6.519 * [backup-simplify]: Simplify (+ (* (pow N -2/9) (* +nan.0 (pow +nan.0 1/3))) (+ (* (* -2/9 (pow (/ 1 (pow N 2)) 1/9)) (* +nan.0 (pow +nan.0 1/3))) (* (* -7/81 (pow (/ 1 (pow N 2)) 1/9)) (pow +nan.0 1/3)))) into (- (* +nan.0 (* (pow (/ 1 (pow N 2)) 1/9) (pow +nan.0 1/3)))) 6.522 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (* (pow (/ 1 (pow N 2)) 1/9) (pow +nan.0 1/3))))) 2)) (pow (* (pow (/ 1 (pow N 2)) 1/9) (pow +nan.0 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (* (pow (/ 1 (pow N 2)) 1/9) (pow +nan.0 1/3))))) 1)) (pow (* (pow (/ 1 (pow N 2)) 1/9) (pow +nan.0 1/3)) 1)))) 2) into +nan.0 6.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.531 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 6.543 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow +nan.0 1)))) 2) into +nan.0 6.544 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (log +nan.0)))) into (- +nan.0) 6.550 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 2) 2)) (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 6.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.551 * [backup-simplify]: Simplify (- 0) into 0 6.551 * [backup-simplify]: Simplify (+ 0 0) into 0 6.553 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 6.553 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.554 * [backup-simplify]: Simplify (+ (* 1/9 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/18) 6.555 * [backup-simplify]: Simplify (* (exp (* 1/9 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/9) 2) 2)) (* (/ (pow (- 1/18) 1) 1)))) into (* -4/81 (exp (* 1/9 (- (log -1) (log N))))) 6.558 * [backup-simplify]: Simplify (+ (* (exp (* 1/9 (- (log -1) (log N)))) (* +nan.0 (pow +nan.0 1/3))) (+ (* (* -1/9 (exp (* 1/9 (- (log -1) (log N))))) (* +nan.0 (pow +nan.0 1/3))) (* (* -4/81 (exp (* 1/9 (- (log -1) (log N))))) (pow +nan.0 1/3)))) into (- (* +nan.0 (* (pow +nan.0 1/3) (exp (* 1/9 (- (log -1) (log N))))))) 6.560 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (* (pow +nan.0 1/3) (exp (* 1/9 (- (log -1) (log N)))))))) 2)) (pow (* (pow +nan.0 1/3) (exp (* 1/9 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (* (pow +nan.0 1/3) (exp (* 1/9 (- (log -1) (log N)))))))) 1)) (pow (* (pow +nan.0 1/3) (exp (* 1/9 (- (log -1) (log N))))) 1)))) 2) into +nan.0 6.561 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.561 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 6.561 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.563 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (* (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/9) (pow +nan.0 1/3))) (+ (log (* +nan.0 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3))) (log (* (pow +nan.0 1/3) (exp (* 1/9 (- (log -1) (log (/ 1 (- N)))))))))))) into (- (+ (log (* +nan.0 (pow (pow N 2) 1/3))) (+ (log (* (pow (pow N 2) 1/9) (pow +nan.0 1/3))) (log (* (exp (* 1/9 (- (log -1) (log (/ -1 N))))) (pow +nan.0 1/3))))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 6.563 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 6.563 * [backup-simplify]: Simplify (cbrt (sqrt N)) into (pow N 1/6) 6.563 * [approximate]: Taking taylor expansion of (pow N 1/6) in (N) around 0 6.563 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 6.563 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 6.563 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 6.563 * [taylor]: Taking taylor expansion of 1/6 in N 6.563 * [backup-simplify]: Simplify 1/6 into 1/6 6.563 * [taylor]: Taking taylor expansion of (log N) in N 6.563 * [taylor]: Taking taylor expansion of N in N 6.564 * [backup-simplify]: Simplify 0 into 0 6.564 * [backup-simplify]: Simplify 1 into 1 6.564 * [backup-simplify]: Simplify (log 1) into 0 6.564 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.564 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 6.565 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 6.565 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 6.565 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 6.565 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 6.565 * [taylor]: Taking taylor expansion of 1/6 in N 6.565 * [backup-simplify]: Simplify 1/6 into 1/6 6.565 * [taylor]: Taking taylor expansion of (log N) in N 6.565 * [taylor]: Taking taylor expansion of N in N 6.565 * [backup-simplify]: Simplify 0 into 0 6.565 * [backup-simplify]: Simplify 1 into 1 6.565 * [backup-simplify]: Simplify (log 1) into 0 6.566 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.566 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 6.566 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 6.566 * [backup-simplify]: Simplify (pow N 1/6) into (pow N 1/6) 6.567 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.568 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.568 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log N))) into 0 6.569 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.569 * [backup-simplify]: Simplify 0 into 0 6.573 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.574 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.582 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log N)))) into 0 6.584 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.584 * [backup-simplify]: Simplify 0 into 0 6.590 * [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 6.590 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.592 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 6.594 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.594 * [backup-simplify]: Simplify 0 into 0 6.606 * [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 6.607 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.609 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 6.611 * [backup-simplify]: Simplify (* (exp (* 1/6 (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 6.611 * [backup-simplify]: Simplify 0 into 0 6.630 * [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 6.630 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.632 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 6.636 * [backup-simplify]: Simplify (* (exp (* 1/6 (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 6.637 * [backup-simplify]: Simplify 0 into 0 6.671 * [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 6.672 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.674 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 6.680 * [backup-simplify]: Simplify (* (exp (* 1/6 (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 6.681 * [backup-simplify]: Simplify 0 into 0 6.681 * [backup-simplify]: Simplify (pow N 1/6) into (pow N 1/6) 6.681 * [backup-simplify]: Simplify (cbrt (sqrt (/ 1 N))) into (pow (/ 1 N) 1/6) 6.681 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/6) in (N) around 0 6.681 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 6.681 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 6.681 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 6.681 * [taylor]: Taking taylor expansion of 1/6 in N 6.681 * [backup-simplify]: Simplify 1/6 into 1/6 6.681 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.681 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.681 * [taylor]: Taking taylor expansion of N in N 6.681 * [backup-simplify]: Simplify 0 into 0 6.681 * [backup-simplify]: Simplify 1 into 1 6.682 * [backup-simplify]: Simplify (/ 1 1) into 1 6.682 * [backup-simplify]: Simplify (log 1) into 0 6.683 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.683 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 6.683 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 6.683 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 6.683 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 6.683 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 6.683 * [taylor]: Taking taylor expansion of 1/6 in N 6.683 * [backup-simplify]: Simplify 1/6 into 1/6 6.683 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.683 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.683 * [taylor]: Taking taylor expansion of N in N 6.683 * [backup-simplify]: Simplify 0 into 0 6.683 * [backup-simplify]: Simplify 1 into 1 6.684 * [backup-simplify]: Simplify (/ 1 1) into 1 6.684 * [backup-simplify]: Simplify (log 1) into 0 6.685 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.685 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 6.685 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 6.685 * [backup-simplify]: Simplify (pow N -1/6) into (pow N -1/6) 6.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.688 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.689 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.689 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log N)))) into 0 6.690 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.690 * [backup-simplify]: Simplify 0 into 0 6.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.693 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.693 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.694 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 6.694 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.694 * [backup-simplify]: Simplify 0 into 0 6.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.698 * [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 6.698 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.699 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 6.700 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.700 * [backup-simplify]: Simplify 0 into 0 6.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.707 * [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 6.707 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.708 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 6.710 * [backup-simplify]: Simplify (* (exp (* -1/6 (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 6.710 * [backup-simplify]: Simplify 0 into 0 6.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.725 * [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 6.726 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.728 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 6.733 * [backup-simplify]: Simplify (* (exp (* -1/6 (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 6.733 * [backup-simplify]: Simplify 0 into 0 6.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.770 * [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 6.770 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.773 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 6.779 * [backup-simplify]: Simplify (* (exp (* -1/6 (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 6.779 * [backup-simplify]: Simplify 0 into 0 6.779 * [backup-simplify]: Simplify (pow (/ 1 N) -1/6) into (pow (/ 1 N) -1/6) 6.779 * [backup-simplify]: Simplify (cbrt (sqrt (/ 1 (- N)))) into (pow (sqrt (/ -1 N)) 1/3) 6.779 * [approximate]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 1/3) in (N) around 0 6.779 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 1/3) in N 6.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt (/ -1 N))))) in N 6.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt (/ -1 N)))) in N 6.779 * [taylor]: Taking taylor expansion of 1/3 in N 6.779 * [backup-simplify]: Simplify 1/3 into 1/3 6.779 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 6.779 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.780 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.780 * [taylor]: Taking taylor expansion of -1 in N 6.780 * [backup-simplify]: Simplify -1 into -1 6.780 * [taylor]: Taking taylor expansion of N in N 6.780 * [backup-simplify]: Simplify 0 into 0 6.780 * [backup-simplify]: Simplify 1 into 1 6.780 * [backup-simplify]: Simplify (/ -1 1) into -1 6.781 * [backup-simplify]: Simplify (sqrt 0) into 0 6.782 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.783 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.783 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 6.785 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 6.785 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 1/3) in N 6.785 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt (/ -1 N))))) in N 6.785 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt (/ -1 N)))) in N 6.785 * [taylor]: Taking taylor expansion of 1/3 in N 6.785 * [backup-simplify]: Simplify 1/3 into 1/3 6.785 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 6.785 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.785 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.785 * [taylor]: Taking taylor expansion of -1 in N 6.785 * [backup-simplify]: Simplify -1 into -1 6.785 * [taylor]: Taking taylor expansion of N in N 6.785 * [backup-simplify]: Simplify 0 into 0 6.785 * [backup-simplify]: Simplify 1 into 1 6.786 * [backup-simplify]: Simplify (/ -1 1) into -1 6.786 * [backup-simplify]: Simplify (sqrt 0) into 0 6.788 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.788 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.789 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 6.790 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 6.791 * [backup-simplify]: Simplify (pow +nan.0 1/3) into (pow +nan.0 1/3) 6.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.795 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.801 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.803 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (log +nan.0))) into (- +nan.0) 6.809 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 6.810 * [backup-simplify]: Simplify (* +nan.0 (pow +nan.0 1/3)) into (* +nan.0 (pow +nan.0 1/3)) 6.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.828 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 6.830 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (log +nan.0)))) into (- +nan.0) 6.836 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 2) 2)) (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 6.837 * [backup-simplify]: Simplify (* +nan.0 (pow +nan.0 1/3)) into (* +nan.0 (pow +nan.0 1/3)) 6.838 * [backup-simplify]: Simplify (+ (* (* +nan.0 (pow +nan.0 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* +nan.0 (pow +nan.0 1/3)) (/ 1 (- N))) (pow +nan.0 1/3))) into (- (pow +nan.0 1/3) (+ (* +nan.0 (* (/ 1 N) (pow +nan.0 1/3))) (- (* +nan.0 (* (/ 1 (pow N 2)) (pow +nan.0 1/3)))))) 6.838 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2 2) 6.838 * [backup-simplify]: Simplify (cbrt (sqrt N)) into (pow N 1/6) 6.838 * [approximate]: Taking taylor expansion of (pow N 1/6) in (N) around 0 6.838 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 6.838 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 6.839 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 6.839 * [taylor]: Taking taylor expansion of 1/6 in N 6.839 * [backup-simplify]: Simplify 1/6 into 1/6 6.839 * [taylor]: Taking taylor expansion of (log N) in N 6.839 * [taylor]: Taking taylor expansion of N in N 6.839 * [backup-simplify]: Simplify 0 into 0 6.839 * [backup-simplify]: Simplify 1 into 1 6.839 * [backup-simplify]: Simplify (log 1) into 0 6.839 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.839 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 6.839 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 6.839 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 6.839 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 6.839 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 6.839 * [taylor]: Taking taylor expansion of 1/6 in N 6.839 * [backup-simplify]: Simplify 1/6 into 1/6 6.839 * [taylor]: Taking taylor expansion of (log N) in N 6.839 * [taylor]: Taking taylor expansion of N in N 6.839 * [backup-simplify]: Simplify 0 into 0 6.839 * [backup-simplify]: Simplify 1 into 1 6.840 * [backup-simplify]: Simplify (log 1) into 0 6.840 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.840 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 6.840 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 6.840 * [backup-simplify]: Simplify (pow N 1/6) into (pow N 1/6) 6.841 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.841 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.841 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log N))) into 0 6.842 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.842 * [backup-simplify]: Simplify 0 into 0 6.844 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.844 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.845 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log N)))) into 0 6.845 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.845 * [backup-simplify]: Simplify 0 into 0 6.849 * [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 6.849 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.858 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 6.859 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.859 * [backup-simplify]: Simplify 0 into 0 6.866 * [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 6.866 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.867 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 6.870 * [backup-simplify]: Simplify (* (exp (* 1/6 (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 6.870 * [backup-simplify]: Simplify 0 into 0 6.888 * [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 6.889 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.892 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 6.897 * [backup-simplify]: Simplify (* (exp (* 1/6 (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 6.897 * [backup-simplify]: Simplify 0 into 0 6.929 * [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 6.930 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.932 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 6.935 * [backup-simplify]: Simplify (* (exp (* 1/6 (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 6.935 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify (pow N 1/6) into (pow N 1/6) 6.935 * [backup-simplify]: Simplify (cbrt (sqrt (/ 1 N))) into (pow (/ 1 N) 1/6) 6.935 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/6) in (N) around 0 6.935 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 6.935 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 6.935 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 6.935 * [taylor]: Taking taylor expansion of 1/6 in N 6.935 * [backup-simplify]: Simplify 1/6 into 1/6 6.935 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.935 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.935 * [taylor]: Taking taylor expansion of N in N 6.935 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify 1 into 1 6.936 * [backup-simplify]: Simplify (/ 1 1) into 1 6.936 * [backup-simplify]: Simplify (log 1) into 0 6.936 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.936 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 6.936 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 6.936 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 6.936 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 6.936 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 6.936 * [taylor]: Taking taylor expansion of 1/6 in N 6.936 * [backup-simplify]: Simplify 1/6 into 1/6 6.936 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.936 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.936 * [taylor]: Taking taylor expansion of N in N 6.937 * [backup-simplify]: Simplify 0 into 0 6.937 * [backup-simplify]: Simplify 1 into 1 6.937 * [backup-simplify]: Simplify (/ 1 1) into 1 6.937 * [backup-simplify]: Simplify (log 1) into 0 6.937 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.937 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 6.937 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 6.937 * [backup-simplify]: Simplify (pow N -1/6) into (pow N -1/6) 6.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.939 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.939 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.939 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log N)))) into 0 6.940 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.940 * [backup-simplify]: Simplify 0 into 0 6.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.942 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.942 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.943 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 6.943 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.944 * [backup-simplify]: Simplify 0 into 0 6.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.947 * [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 6.947 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.948 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 6.949 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.949 * [backup-simplify]: Simplify 0 into 0 6.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.955 * [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 6.955 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.956 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 6.958 * [backup-simplify]: Simplify (* (exp (* -1/6 (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 6.958 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.981 * [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 6.982 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.984 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 6.988 * [backup-simplify]: Simplify (* (exp (* -1/6 (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 6.989 * [backup-simplify]: Simplify 0 into 0 6.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.014 * [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 7.015 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.016 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 7.020 * [backup-simplify]: Simplify (* (exp (* -1/6 (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 7.020 * [backup-simplify]: Simplify 0 into 0 7.020 * [backup-simplify]: Simplify (pow (/ 1 N) -1/6) into (pow (/ 1 N) -1/6) 7.020 * [backup-simplify]: Simplify (cbrt (sqrt (/ 1 (- N)))) into (pow (sqrt (/ -1 N)) 1/3) 7.020 * [approximate]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 1/3) in (N) around 0 7.020 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 1/3) in N 7.020 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt (/ -1 N))))) in N 7.020 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt (/ -1 N)))) in N 7.020 * [taylor]: Taking taylor expansion of 1/3 in N 7.020 * [backup-simplify]: Simplify 1/3 into 1/3 7.020 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 7.020 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.020 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.020 * [taylor]: Taking taylor expansion of -1 in N 7.020 * [backup-simplify]: Simplify -1 into -1 7.020 * [taylor]: Taking taylor expansion of N in N 7.020 * [backup-simplify]: Simplify 0 into 0 7.020 * [backup-simplify]: Simplify 1 into 1 7.020 * [backup-simplify]: Simplify (/ -1 1) into -1 7.021 * [backup-simplify]: Simplify (sqrt 0) into 0 7.022 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.022 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.022 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 7.023 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 7.023 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 1/3) in N 7.023 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt (/ -1 N))))) in N 7.023 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt (/ -1 N)))) in N 7.023 * [taylor]: Taking taylor expansion of 1/3 in N 7.023 * [backup-simplify]: Simplify 1/3 into 1/3 7.023 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 7.023 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.023 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.023 * [taylor]: Taking taylor expansion of -1 in N 7.023 * [backup-simplify]: Simplify -1 into -1 7.023 * [taylor]: Taking taylor expansion of N in N 7.023 * [backup-simplify]: Simplify 0 into 0 7.023 * [backup-simplify]: Simplify 1 into 1 7.024 * [backup-simplify]: Simplify (/ -1 1) into -1 7.024 * [backup-simplify]: Simplify (sqrt 0) into 0 7.025 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.025 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.026 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 7.026 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 7.027 * [backup-simplify]: Simplify (pow +nan.0 1/3) into (pow +nan.0 1/3) 7.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.029 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.034 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (log +nan.0))) into (- +nan.0) 7.039 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 7.040 * [backup-simplify]: Simplify (* +nan.0 (pow +nan.0 1/3)) into (* +nan.0 (pow +nan.0 1/3)) 7.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.060 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 7.063 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (log +nan.0)))) into (- +nan.0) 7.072 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 2) 2)) (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 7.073 * [backup-simplify]: Simplify (* +nan.0 (pow +nan.0 1/3)) into (* +nan.0 (pow +nan.0 1/3)) 7.076 * [backup-simplify]: Simplify (+ (* (* +nan.0 (pow +nan.0 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* +nan.0 (pow +nan.0 1/3)) (/ 1 (- N))) (pow +nan.0 1/3))) into (- (pow +nan.0 1/3) (+ (* +nan.0 (* (/ 1 N) (pow +nan.0 1/3))) (- (* +nan.0 (* (/ 1 (pow N 2)) (pow +nan.0 1/3)))))) 7.076 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 1) 7.076 * [backup-simplify]: Simplify (cbrt (sqrt N)) into (pow N 1/6) 7.076 * [approximate]: Taking taylor expansion of (pow N 1/6) in (N) around 0 7.076 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 7.076 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 7.077 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 7.077 * [taylor]: Taking taylor expansion of 1/6 in N 7.077 * [backup-simplify]: Simplify 1/6 into 1/6 7.077 * [taylor]: Taking taylor expansion of (log N) in N 7.077 * [taylor]: Taking taylor expansion of N in N 7.077 * [backup-simplify]: Simplify 0 into 0 7.077 * [backup-simplify]: Simplify 1 into 1 7.077 * [backup-simplify]: Simplify (log 1) into 0 7.078 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.078 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 7.078 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 7.078 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 7.078 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 7.078 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 7.078 * [taylor]: Taking taylor expansion of 1/6 in N 7.078 * [backup-simplify]: Simplify 1/6 into 1/6 7.078 * [taylor]: Taking taylor expansion of (log N) in N 7.078 * [taylor]: Taking taylor expansion of N in N 7.078 * [backup-simplify]: Simplify 0 into 0 7.078 * [backup-simplify]: Simplify 1 into 1 7.078 * [backup-simplify]: Simplify (log 1) into 0 7.079 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.079 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 7.079 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 7.079 * [backup-simplify]: Simplify (pow N 1/6) into (pow N 1/6) 7.080 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.081 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.081 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log N))) into 0 7.082 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.082 * [backup-simplify]: Simplify 0 into 0 7.086 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.086 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.087 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log N)))) into 0 7.089 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.089 * [backup-simplify]: Simplify 0 into 0 7.094 * [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 7.095 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.096 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 7.098 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.098 * [backup-simplify]: Simplify 0 into 0 7.115 * [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 7.116 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.118 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 7.121 * [backup-simplify]: Simplify (* (exp (* 1/6 (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 7.121 * [backup-simplify]: Simplify 0 into 0 7.139 * [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 7.139 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.141 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 7.146 * [backup-simplify]: Simplify (* (exp (* 1/6 (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 7.146 * [backup-simplify]: Simplify 0 into 0 7.178 * [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 7.179 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.181 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 7.187 * [backup-simplify]: Simplify (* (exp (* 1/6 (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 7.188 * [backup-simplify]: Simplify 0 into 0 7.188 * [backup-simplify]: Simplify (pow N 1/6) into (pow N 1/6) 7.188 * [backup-simplify]: Simplify (cbrt (sqrt (/ 1 N))) into (pow (/ 1 N) 1/6) 7.188 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/6) in (N) around 0 7.188 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 7.188 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 7.188 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 7.188 * [taylor]: Taking taylor expansion of 1/6 in N 7.188 * [backup-simplify]: Simplify 1/6 into 1/6 7.188 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.188 * [taylor]: Taking taylor expansion of N in N 7.188 * [backup-simplify]: Simplify 0 into 0 7.188 * [backup-simplify]: Simplify 1 into 1 7.188 * [backup-simplify]: Simplify (/ 1 1) into 1 7.189 * [backup-simplify]: Simplify (log 1) into 0 7.189 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.189 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 7.189 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 7.189 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 7.189 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 7.189 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 7.189 * [taylor]: Taking taylor expansion of 1/6 in N 7.189 * [backup-simplify]: Simplify 1/6 into 1/6 7.189 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.189 * [taylor]: Taking taylor expansion of N in N 7.189 * [backup-simplify]: Simplify 0 into 0 7.189 * [backup-simplify]: Simplify 1 into 1 7.189 * [backup-simplify]: Simplify (/ 1 1) into 1 7.190 * [backup-simplify]: Simplify (log 1) into 0 7.190 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.190 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 7.190 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 7.190 * [backup-simplify]: Simplify (pow N -1/6) into (pow N -1/6) 7.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.192 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.192 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log N)))) into 0 7.193 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.193 * [backup-simplify]: Simplify 0 into 0 7.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.196 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.196 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.197 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 7.198 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.198 * [backup-simplify]: Simplify 0 into 0 7.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.202 * [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 7.202 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.203 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 7.204 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.204 * [backup-simplify]: Simplify 0 into 0 7.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.211 * [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 7.211 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.212 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 7.214 * [backup-simplify]: Simplify (* (exp (* -1/6 (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 7.214 * [backup-simplify]: Simplify 0 into 0 7.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.225 * [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 7.225 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.227 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 7.229 * [backup-simplify]: Simplify (* (exp (* -1/6 (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 7.229 * [backup-simplify]: Simplify 0 into 0 7.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.257 * [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 7.258 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.260 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 7.266 * [backup-simplify]: Simplify (* (exp (* -1/6 (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 7.266 * [backup-simplify]: Simplify 0 into 0 7.266 * [backup-simplify]: Simplify (pow (/ 1 N) -1/6) into (pow (/ 1 N) -1/6) 7.266 * [backup-simplify]: Simplify (cbrt (sqrt (/ 1 (- N)))) into (pow (sqrt (/ -1 N)) 1/3) 7.266 * [approximate]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 1/3) in (N) around 0 7.266 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 1/3) in N 7.266 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt (/ -1 N))))) in N 7.266 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt (/ -1 N)))) in N 7.266 * [taylor]: Taking taylor expansion of 1/3 in N 7.266 * [backup-simplify]: Simplify 1/3 into 1/3 7.266 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 7.266 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.266 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.266 * [taylor]: Taking taylor expansion of -1 in N 7.266 * [backup-simplify]: Simplify -1 into -1 7.267 * [taylor]: Taking taylor expansion of N in N 7.267 * [backup-simplify]: Simplify 0 into 0 7.267 * [backup-simplify]: Simplify 1 into 1 7.267 * [backup-simplify]: Simplify (/ -1 1) into -1 7.268 * [backup-simplify]: Simplify (sqrt 0) into 0 7.270 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.270 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.271 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 7.272 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 7.272 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 1/3) in N 7.272 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt (/ -1 N))))) in N 7.272 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt (/ -1 N)))) in N 7.272 * [taylor]: Taking taylor expansion of 1/3 in N 7.272 * [backup-simplify]: Simplify 1/3 into 1/3 7.272 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 7.272 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.272 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.272 * [taylor]: Taking taylor expansion of -1 in N 7.272 * [backup-simplify]: Simplify -1 into -1 7.272 * [taylor]: Taking taylor expansion of N in N 7.272 * [backup-simplify]: Simplify 0 into 0 7.273 * [backup-simplify]: Simplify 1 into 1 7.273 * [backup-simplify]: Simplify (/ -1 1) into -1 7.273 * [backup-simplify]: Simplify (sqrt 0) into 0 7.274 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.275 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.276 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 7.277 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 7.277 * [backup-simplify]: Simplify (pow +nan.0 1/3) into (pow +nan.0 1/3) 7.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.281 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.288 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (log +nan.0))) into (- +nan.0) 7.296 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 7.297 * [backup-simplify]: Simplify (* +nan.0 (pow +nan.0 1/3)) into (* +nan.0 (pow +nan.0 1/3)) 7.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.302 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.310 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 7.312 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (log +nan.0)))) into (- +nan.0) 7.317 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 2) 2)) (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 7.318 * [backup-simplify]: Simplify (* +nan.0 (pow +nan.0 1/3)) into (* +nan.0 (pow +nan.0 1/3)) 7.320 * [backup-simplify]: Simplify (+ (* (* +nan.0 (pow +nan.0 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* +nan.0 (pow +nan.0 1/3)) (/ 1 (- N))) (pow +nan.0 1/3))) into (- (pow +nan.0 1/3) (+ (* +nan.0 (* (/ 1 N) (pow +nan.0 1/3))) (- (* +nan.0 (* (/ 1 (pow N 2)) (pow +nan.0 1/3)))))) 7.320 * * * [progress]: simplifying candidates 7.320 * * * * [progress]: [ 1 / 178 ] simplifiying candidate # 7.320 * * * * [progress]: [ 2 / 178 ] simplifiying candidate # 7.320 * * * * [progress]: [ 3 / 178 ] simplifiying candidate # 7.320 * * * * [progress]: [ 4 / 178 ] simplifiying candidate # 7.320 * * * * [progress]: [ 5 / 178 ] simplifiying candidate # 7.320 * * * * [progress]: [ 6 / 178 ] simplifiying candidate # 7.320 * * * * [progress]: [ 7 / 178 ] simplifiying candidate # 7.320 * * * * [progress]: [ 8 / 178 ] simplifiying candidate # 7.320 * * * * [progress]: [ 9 / 178 ] simplifiying candidate # 7.320 * * * * [progress]: [ 10 / 178 ] simplifiying candidate # 7.320 * * * * [progress]: [ 11 / 178 ] simplifiying candidate # 7.320 * * * * [progress]: [ 12 / 178 ] simplifiying candidate # 7.321 * * * * [progress]: [ 13 / 178 ] simplifiying candidate # 7.321 * * * * [progress]: [ 14 / 178 ] simplifiying candidate # 7.321 * * * * [progress]: [ 15 / 178 ] simplifiying candidate # 7.321 * * * * [progress]: [ 16 / 178 ] simplifiying candidate # 7.321 * * * * [progress]: [ 17 / 178 ] simplifiying candidate # 7.321 * * * * 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candidate # 7.322 * * * * [progress]: [ 34 / 178 ] simplifiying candidate # 7.322 * * * * [progress]: [ 35 / 178 ] simplifiying candidate # 7.322 * * * * [progress]: [ 36 / 178 ] simplifiying candidate # 7.322 * * * * [progress]: [ 37 / 178 ] simplifiying candidate # 7.322 * * * * [progress]: [ 38 / 178 ] simplifiying candidate # 7.322 * * * * [progress]: [ 39 / 178 ] simplifiying candidate # 7.322 * * * * [progress]: [ 40 / 178 ] simplifiying candidate # 7.322 * * * * [progress]: [ 41 / 178 ] simplifiying candidate # 7.322 * * * * [progress]: [ 42 / 178 ] simplifiying candidate # 7.322 * * * * [progress]: [ 43 / 178 ] simplifiying candidate # 7.322 * * * * [progress]: [ 44 / 178 ] simplifiying candidate # 7.322 * * * * [progress]: [ 45 / 178 ] simplifiying candidate # 7.322 * * * * [progress]: [ 46 / 178 ] simplifiying candidate # 7.322 * * * * [progress]: [ 47 / 178 ] simplifiying candidate # 7.322 * * * * [progress]: [ 48 / 178 ] simplifiying candidate # 7.322 * * * * [progress]: [ 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7.323 * * * * [progress]: [ 65 / 178 ] simplifiying candidate # 7.323 * * * * [progress]: [ 66 / 178 ] simplifiying candidate # 7.323 * * * * [progress]: [ 67 / 178 ] simplifiying candidate # 7.323 * * * * [progress]: [ 68 / 178 ] simplifiying candidate # 7.323 * * * * [progress]: [ 69 / 178 ] simplifiying candidate # 7.323 * * * * [progress]: [ 70 / 178 ] simplifiying candidate # 7.323 * * * * [progress]: [ 71 / 178 ] simplifiying candidate # 7.324 * * * * [progress]: [ 72 / 178 ] simplifiying candidate # 7.324 * * * * [progress]: [ 73 / 178 ] simplifiying candidate # 7.324 * * * * [progress]: [ 74 / 178 ] simplifiying candidate # 7.324 * * * * [progress]: [ 75 / 178 ] simplifiying candidate # 7.324 * * * * [progress]: [ 76 / 178 ] simplifiying candidate # 7.324 * * * * [progress]: [ 77 / 178 ] simplifiying candidate # 7.324 * * * * [progress]: [ 78 / 178 ] simplifiying candidate # 7.324 * * * * [progress]: [ 79 / 178 ] simplifiying candidate # 7.324 * * * * [progress]: [ 80 / 178 ] simplifiying candidate # 7.324 * * * * [progress]: [ 81 / 178 ] simplifiying candidate # 7.324 * * * * [progress]: [ 82 / 178 ] simplifiying candidate # 7.324 * * * * [progress]: [ 83 / 178 ] simplifiying candidate # 7.324 * * * * [progress]: [ 84 / 178 ] simplifiying candidate # 7.324 * * * * [progress]: [ 85 / 178 ] simplifiying candidate # 7.324 * * * * [progress]: [ 86 / 178 ] simplifiying candidate # 7.324 * * * * [progress]: [ 87 / 178 ] simplifiying candidate # 7.324 * * * * [progress]: [ 88 / 178 ] simplifiying candidate # 7.324 * * * * [progress]: [ 89 / 178 ] simplifiying candidate # 7.324 * * * * [progress]: [ 90 / 178 ] simplifiying candidate # 7.324 * * * * [progress]: [ 91 / 178 ] simplifiying candidate # 7.325 * * * * [progress]: [ 92 / 178 ] simplifiying candidate # 7.325 * * * * [progress]: [ 93 / 178 ] simplifiying candidate # 7.325 * * * * [progress]: [ 94 / 178 ] simplifiying candidate # 7.325 * * * * [progress]: [ 95 / 178 ] simplifiying candidate # 7.325 * * * * [progress]: [ 96 / 178 ] simplifiying candidate # 7.325 * * * * [progress]: [ 97 / 178 ] simplifiying candidate # 7.325 * * * * [progress]: [ 98 / 178 ] simplifiying candidate # 7.325 * * * * [progress]: [ 99 / 178 ] simplifiying candidate # 7.325 * * * * [progress]: [ 100 / 178 ] simplifiying candidate # 7.325 * * * * [progress]: [ 101 / 178 ] simplifiying candidate # 7.325 * * * * [progress]: [ 102 / 178 ] simplifiying candidate # 7.325 * * * * [progress]: [ 103 / 178 ] simplifiying candidate # 7.325 * * * * [progress]: [ 104 / 178 ] simplifiying candidate # 7.325 * * * * [progress]: [ 105 / 178 ] simplifiying candidate # 7.325 * * * * [progress]: [ 106 / 178 ] simplifiying candidate # 7.325 * * * * [progress]: [ 107 / 178 ] simplifiying candidate # 7.325 * * * * [progress]: [ 108 / 178 ] simplifiying candidate # 7.325 * * * * [progress]: [ 109 / 178 ] simplifiying candidate # 7.325 * * * * [progress]: [ 110 / 178 ] simplifiying candidate # 7.325 * * * * [progress]: [ 111 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 112 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 113 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 114 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 115 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 116 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 117 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 118 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 119 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 120 / 178 ] simplifiying candidate #real (real->posit16 (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (cbrt (+ N 1))) (cbrt (sqrt N))))))))> 7.326 * * * * [progress]: [ 121 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 122 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 123 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 124 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 125 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 126 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 127 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 128 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 129 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 130 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 131 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 132 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 133 / 178 ] simplifiying candidate # 7.326 * * * * [progress]: [ 134 / 178 ] simplifiying candidate # 7.327 * * * * [progress]: [ 135 / 178 ] simplifiying candidate # 7.327 * * * * [progress]: [ 136 / 178 ] simplifiying candidate #real (real->posit16 (cbrt (sqrt N))))))))> 7.327 * * * * [progress]: [ 137 / 178 ] simplifiying candidate # 7.327 * * * * [progress]: [ 138 / 178 ] simplifiying candidate # 7.327 * * * * [progress]: [ 139 / 178 ] simplifiying candidate # 7.327 * * * * [progress]: [ 140 / 178 ] simplifiying candidate # 7.327 * * * * [progress]: [ 141 / 178 ] simplifiying candidate # 7.327 * * * * [progress]: [ 142 / 178 ] simplifiying candidate # 7.327 * * * * [progress]: [ 143 / 178 ] simplifiying candidate # 7.327 * * * * [progress]: [ 144 / 178 ] simplifiying candidate # 7.327 * * * * [progress]: [ 145 / 178 ] simplifiying candidate # 7.327 * * * * [progress]: [ 146 / 178 ] simplifiying candidate # 7.327 * * * * [progress]: [ 147 / 178 ] simplifiying candidate # 7.327 * * * * [progress]: [ 148 / 178 ] simplifiying candidate # 7.327 * * * * [progress]: [ 149 / 178 ] simplifiying candidate # 7.327 * * * * [progress]: [ 150 / 178 ] simplifiying candidate # 7.327 * * * * [progress]: [ 151 / 178 ] simplifiying candidate #real (real->posit16 (cbrt (sqrt N)))))))) (log (/ (cbrt (cbrt (+ N 1))) (cbrt (sqrt N))))))> 7.327 * * * * [progress]: [ 152 / 178 ] simplifiying candidate # 7.327 * * * * [progress]: [ 153 / 178 ] simplifiying candidate # 7.327 * * * * [progress]: [ 154 / 178 ] simplifiying candidate # 7.328 * * * * [progress]: [ 155 / 178 ] simplifiying candidate # 7.328 * * * * [progress]: [ 156 / 178 ] simplifiying candidate # 7.328 * * * * [progress]: [ 157 / 178 ] simplifiying candidate # 7.328 * * * * [progress]: [ 158 / 178 ] simplifiying candidate # 7.328 * * * * [progress]: [ 159 / 178 ] simplifiying candidate # 7.328 * * * * [progress]: [ 160 / 178 ] simplifiying candidate # 7.328 * * * * [progress]: [ 161 / 178 ] simplifiying candidate # 7.328 * * * * [progress]: [ 162 / 178 ] simplifiying candidate # 7.328 * * * * [progress]: [ 163 / 178 ] simplifiying candidate # 7.328 * * * * [progress]: [ 164 / 178 ] simplifiying candidate # 7.328 * * * * [progress]: [ 165 / 178 ] simplifiying candidate # 7.328 * * * * [progress]: [ 166 / 178 ] simplifiying candidate #real (real->posit16 (cbrt (sqrt N)))) (cbrt (sqrt N)))))) (log (/ (cbrt (cbrt (+ N 1))) (cbrt (sqrt N))))))> 7.328 * * * * [progress]: [ 167 / 178 ] simplifiying candidate # 7.328 * * * * [progress]: [ 168 / 178 ] simplifiying candidate # 7.328 * * * * [progress]: [ 169 / 178 ] simplifiying candidate # 7.328 * * * * [progress]: [ 170 / 178 ] simplifiying candidate # 7.328 * * * * [progress]: [ 171 / 178 ] simplifiying candidate # 7.328 * * * * [progress]: [ 172 / 178 ] simplifiying candidate # 7.328 * * * * [progress]: [ 173 / 178 ] simplifiying candidate # 7.328 * * * * [progress]: [ 174 / 178 ] simplifiying candidate # 7.329 * * * * [progress]: [ 175 / 178 ] simplifiying candidate # 7.329 * * * * [progress]: [ 176 / 178 ] simplifiying candidate # 7.329 * * * * [progress]: [ 177 / 178 ] simplifiying candidate # 7.329 * * * * [progress]: [ 178 / 178 ] simplifiying candidate # 7.331 * [simplify]: Simplifying: (* (* (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) (/ (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) (* (cbrt 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Extracting #0: cost 79 inf + 0 8.045 * * [simplify]: Extracting #1: cost 477 inf + 1 8.047 * * [simplify]: Extracting #2: cost 777 inf + 1982 8.050 * * [simplify]: Extracting #3: cost 814 inf + 9213 8.064 * * [simplify]: Extracting #4: cost 756 inf + 22790 8.074 * * [simplify]: Extracting #5: cost 604 inf + 88498 8.112 * * [simplify]: Extracting #6: cost 284 inf + 297726 8.174 * * [simplify]: Extracting #7: cost 42 inf + 485698 8.276 * * [simplify]: Extracting #8: cost 16 inf + 504493 8.347 * * [simplify]: Extracting #9: cost 4 inf + 512892 8.416 * * [simplify]: Extracting #10: cost 0 inf + 515482 8.505 * [simplify]: Simplified to: (* (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)) (* (* (/ (cbrt (cbrt (+ 1 N))) (cbrt (sqrt N))) (/ (cbrt (cbrt (+ 1 N))) (cbrt (sqrt N)))) (/ (cbrt (cbrt (+ 1 N))) (cbrt (sqrt N))))) (* (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)) (* (* (/ (cbrt (cbrt (+ 1 N))) (cbrt (sqrt N))) (/ (cbrt (cbrt (+ 1 N))) (cbrt (sqrt N)))) (/ (cbrt (cbrt (+ 1 N))) (cbrt 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N))) (- (+ (+ (+ (log +nan.0) (+ (* 1/3 (log (* N N))) (+ (* 1/9 (log (* N N))) (* 1/3 (log +nan.0))))) (* 1/9 (- (log -1) (log (/ -1 N))))) (* 1/3 (log +nan.0))) (- (/ +nan.0 (* N N)) (/ +nan.0 N))) (pow N 1/6) (pow (/ 1 N) -1/6) (- (cbrt +nan.0) (* (cbrt +nan.0) (- (/ +nan.0 N) (/ +nan.0 (* N N))))) (pow N 1/6) (pow (/ 1 N) -1/6) (- (cbrt +nan.0) (* (cbrt +nan.0) (- (/ +nan.0 N) (/ +nan.0 (* N N))))) (pow N 1/6) (pow (/ 1 N) -1/6) (- (cbrt +nan.0) (* (cbrt +nan.0) (- (/ +nan.0 N) (/ +nan.0 (* N N))))) 8.528 * * * [progress]: adding candidates to table 9.836 * [progress]: [Phase 3 of 3] Extracting. 9.836 * * [regime]: Finding splitpoints for: (# # #) 9.837 * * * [regime-changes]: Trying 1 branch expressions: (N) 9.837 * * * * [regimes]: Trying to branch on N from (# # #) 9.872 * * * [regime]: Found split indices: #