19.328 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.085 * * * [progress]: [2/2] Setting up program. 0.090 * [progress]: [Phase 2 of 3] Improving. 0.090 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.091 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.091 * * [simplify]: iteration 0: 6 enodes 0.094 * * [simplify]: iteration 1: 11 enodes 0.097 * * [simplify]: iteration 2: 13 enodes 0.101 * * [simplify]: iteration complete: 13 enodes 0.101 * * [simplify]: Extracting #0: cost 1 inf + 0 0.101 * * [simplify]: Extracting #1: cost 4 inf + 0 0.101 * * [simplify]: Extracting #2: cost 6 inf + 0 0.101 * * [simplify]: Extracting #3: cost 2 inf + 475 0.101 * * [simplify]: Extracting #4: cost 0 inf + 518 0.101 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.108 * * [progress]: iteration 1 / 4 0.108 * * * [progress]: picking best candidate 0.111 * * * * [pick]: Picked # 0.111 * * * [progress]: localizing error 0.129 * * * [progress]: generating rewritten candidates 0.129 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.143 * * * [progress]: generating series expansions 0.143 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.143 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.143 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.143 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.143 * [taylor]: Taking taylor expansion of (log1p N) in N 0.143 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.144 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.144 * [taylor]: Taking taylor expansion of 1 in N 0.144 * [backup-simplify]: Simplify 1 into 1 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 0) into 1 0.145 * [backup-simplify]: Simplify (log 1) into 0 0.145 * [taylor]: Taking taylor expansion of (log N) in N 0.145 * [taylor]: Taking taylor expansion of N in N 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (log 1) into 0 0.145 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.145 * [taylor]: Taking taylor expansion of (log1p N) in N 0.146 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.146 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.146 * [taylor]: Taking taylor expansion of 1 in N 0.146 * [backup-simplify]: Simplify 1 into 1 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 0) into 1 0.147 * [backup-simplify]: Simplify (log 1) into 0 0.147 * [taylor]: Taking taylor expansion of (log N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (log 1) into 0 0.148 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.148 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.148 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.148 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.149 * [backup-simplify]: Simplify (+ 0 1) into 1 0.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.153 * [backup-simplify]: Simplify (+ 1 0) into 1 0.153 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.161 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.162 * [backup-simplify]: Simplify (- 0) into 0 0.162 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.162 * [backup-simplify]: Simplify -1/2 into -1/2 0.163 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.163 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 0.163 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 0.163 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.163 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.163 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.163 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.163 * [taylor]: Taking taylor expansion of 1 in N 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [backup-simplify]: Simplify (+ 0 1) into 1 0.164 * [backup-simplify]: Simplify (log 1) into 0 0.164 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 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 (log 1) into 0 0.165 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.165 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.165 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 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 0.166 * [taylor]: Taking taylor expansion of (/ 1 N) in N 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 (+ 0 1) into 1 0.167 * [backup-simplify]: Simplify (log 1) into 0 0.167 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 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 0.168 * [backup-simplify]: Simplify (log 1) into 0 0.168 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.169 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.169 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.169 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ 1 0) into 1 0.171 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.174 * [backup-simplify]: Simplify (- 0) into 0 0.174 * [backup-simplify]: Simplify (+ 1 0) into 1 0.174 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.184 * [backup-simplify]: Simplify (- 0) into 0 0.184 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.184 * [backup-simplify]: Simplify -1/2 into -1/2 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.215 * [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 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.216 * [backup-simplify]: Simplify 1/3 into 1/3 0.217 * [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)))) 0.217 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.217 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.217 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.217 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.221 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.221 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.221 * [taylor]: Taking taylor expansion of 1 in N 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.221 * [taylor]: Taking taylor expansion of -1 in N 0.221 * [backup-simplify]: Simplify -1 into -1 0.221 * [taylor]: Taking taylor expansion of N in N 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ -1 1) into -1 0.222 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.223 * [backup-simplify]: Simplify (log -1) into (log -1) 0.223 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.223 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.223 * [taylor]: Taking taylor expansion of -1 in N 0.223 * [backup-simplify]: Simplify -1 into -1 0.223 * [taylor]: Taking taylor expansion of N in N 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ -1 1) into -1 0.224 * [backup-simplify]: Simplify (log -1) into (log -1) 0.224 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.224 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.224 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.224 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.224 * [taylor]: Taking taylor expansion of 1 in N 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.224 * [taylor]: Taking taylor expansion of -1 in N 0.224 * [backup-simplify]: Simplify -1 into -1 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 0.225 * [backup-simplify]: Simplify (/ -1 1) into -1 0.225 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.226 * [backup-simplify]: Simplify (log -1) into (log -1) 0.226 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.226 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.226 * [taylor]: Taking taylor expansion of -1 in N 0.226 * [backup-simplify]: Simplify -1 into -1 0.226 * [taylor]: Taking taylor expansion of N in N 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ -1 1) into -1 0.227 * [backup-simplify]: Simplify (log -1) into (log -1) 0.228 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.229 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.230 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.230 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ 1 0) into 1 0.233 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.236 * [backup-simplify]: Simplify (- 0) into 0 0.236 * [backup-simplify]: Simplify (+ -1 0) into -1 0.236 * [backup-simplify]: Simplify -1 into -1 0.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.246 * [backup-simplify]: Simplify -1/2 into -1/2 0.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [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 0.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.259 * [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 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.260 * [backup-simplify]: Simplify -1/3 into -1/3 0.260 * [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)))) 0.260 * * * [progress]: simplifying candidates 0.260 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 0.260 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 0.260 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 0.260 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 0.261 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 0.261 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 0.261 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 0.261 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 0.261 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 0.261 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 0.261 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 0.261 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 0.261 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 0.261 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 0.261 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 0.261 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 0.261 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 0.261 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 0.261 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 0.261 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 0.261 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 0.261 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 0.262 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 0.262 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 0.262 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 0.262 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 0.262 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 0.262 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 0.262 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 0.262 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 0.262 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 0.262 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 0.262 * * * * [progress]: [ 33 / 40 ] simplifiying candidate # 0.262 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 0.262 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 0.262 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 0.262 * * * * [progress]: [ 37 / 40 ] simplifiying candidate #real (real->posit16 (- (log1p N) (log N)))))> 0.262 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 0.262 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 0.262 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 0.263 * [simplify]: Simplifying: (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log1p N) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log1p N) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log1p N) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log1p N) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (- (log N)) (- (log N)) (- (log N)) (/ (+ 1 N) N) (/ (exp (log1p N)) N) (log (- (log1p N) (log N))) (exp (- (log1p N) (log N))) (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N))) (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))) (- (log N)) (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)) (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N))) (- (log1p N) (log N)) (- (log1p N) (log N)) (- (log1p N) (log (* (cbrt N) (cbrt N)))) (- (log1p N) (log (sqrt N))) (- (log1p N) (log 1)) (- (log N)) (real->posit16 (- (log1p N) (log 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)))) 0.264 * * [simplify]: iteration 0: 83 enodes 0.301 * * [simplify]: iteration 1: 185 enodes 0.389 * * [simplify]: iteration 2: 403 enodes 0.581 * * [simplify]: iteration 3: 1137 enodes 0.951 * * [simplify]: iteration 4: 2047 enodes 1.253 * * [simplify]: iteration complete: 2047 enodes 1.254 * * [simplify]: Extracting #0: cost 24 inf + 0 1.255 * * [simplify]: Extracting #1: cost 222 inf + 0 1.260 * * [simplify]: Extracting #2: cost 376 inf + 4275 1.276 * * [simplify]: Extracting #3: cost 201 inf + 41238 1.308 * * [simplify]: Extracting #4: cost 77 inf + 68487 1.326 * * [simplify]: Extracting #5: cost 9 inf + 90610 1.354 * * [simplify]: Extracting #6: cost 2 inf + 93628 1.376 * * [simplify]: Extracting #7: cost 0 inf + 94173 1.399 * [simplify]: Simplified to: (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (- (log N)) (- (log N)) (- (log N)) (/ (+ 1 N) N) (/ (exp (log1p N)) N) (log (- (log1p N) (log N))) (/ (exp (log1p N)) N) (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N))) (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (- (* (log1p N) (* (log1p N) (log1p N))) (* (* (log N) (log N)) (log N))) (fma (log1p N) (log1p N) (* (log N) (+ (log N) (log1p N)))) (- (log N)) (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log N) (log1p N)) (+ (sqrt (log N)) (sqrt (log1p N))) (- (sqrt (log1p N)) (sqrt (log N))) (- (log1p N) (log N)) (- (log1p N) (log N)) (fma -2 (log (cbrt N)) (log1p N)) (- (log1p N) (log (sqrt N))) (log1p N) (- (log N)) (real->posit16 (- (log1p N) (log N))) (- N (fma (* N N) 1/2 (log N))) (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)) (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)) 1.401 * * * [progress]: adding candidates to table 1.502 * * [progress]: iteration 2 / 4 1.502 * * * [progress]: picking best candidate 1.506 * * * * [pick]: Picked # 1.506 * * * [progress]: localizing error 1.520 * * * [progress]: generating rewritten candidates 1.520 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.529 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.563 * * * [progress]: generating series expansions 1.563 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.563 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 1.563 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1.563 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1.563 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 1.563 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.563 * [taylor]: Taking taylor expansion of N in N 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify 1 into 1 1.563 * [taylor]: Taking taylor expansion of 1 in N 1.563 * [backup-simplify]: Simplify 1 into 1 1.563 * [taylor]: Taking taylor expansion of N in N 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify 1 into 1 1.564 * [backup-simplify]: Simplify (+ 0 1) into 1 1.565 * [backup-simplify]: Simplify (/ 1 1) into 1 1.565 * [backup-simplify]: Simplify (log 1) into 0 1.565 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1.565 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 1.565 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.565 * [taylor]: Taking taylor expansion of N in N 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 1 into 1 1.565 * [taylor]: Taking taylor expansion of 1 in N 1.565 * [backup-simplify]: Simplify 1 into 1 1.565 * [taylor]: Taking taylor expansion of N in N 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 1 into 1 1.566 * [backup-simplify]: Simplify (+ 0 1) into 1 1.566 * [backup-simplify]: Simplify (/ 1 1) into 1 1.567 * [backup-simplify]: Simplify (log 1) into 0 1.567 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.567 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.568 * [backup-simplify]: Simplify (+ 1 0) into 1 1.569 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1.570 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.570 * [backup-simplify]: Simplify 1 into 1 1.571 * [backup-simplify]: Simplify (+ 0 0) into 0 1.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.574 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.574 * [backup-simplify]: Simplify -1/2 into -1/2 1.574 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1.575 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1.575 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1.575 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1.575 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1.575 * [taylor]: Taking taylor expansion of N in N 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 1 into 1 1.575 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.575 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.575 * [taylor]: Taking taylor expansion of N in N 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 1 into 1 1.575 * [backup-simplify]: Simplify (/ 1 1) into 1 1.576 * [taylor]: Taking taylor expansion of 1 in N 1.576 * [backup-simplify]: Simplify 1 into 1 1.576 * [backup-simplify]: Simplify (+ 1 0) into 1 1.577 * [backup-simplify]: Simplify (* 0 1) into 0 1.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.578 * [backup-simplify]: Simplify (+ 0 1) into 1 1.579 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 1.579 * [backup-simplify]: Simplify (log 1) into 0 1.579 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1.579 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1.579 * [taylor]: Taking taylor expansion of N in N 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.579 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.579 * [taylor]: Taking taylor expansion of N in N 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.580 * [backup-simplify]: Simplify (/ 1 1) into 1 1.580 * [taylor]: Taking taylor expansion of 1 in N 1.580 * [backup-simplify]: Simplify 1 into 1 1.580 * [backup-simplify]: Simplify (+ 1 0) into 1 1.581 * [backup-simplify]: Simplify (* 0 1) into 0 1.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.582 * [backup-simplify]: Simplify (+ 0 1) into 1 1.583 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 1.583 * [backup-simplify]: Simplify (log 1) into 0 1.583 * [backup-simplify]: Simplify 0 into 0 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 1.586 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.586 * [backup-simplify]: Simplify 1 into 1 1.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.588 * [backup-simplify]: Simplify (+ 0 0) into 0 1.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1.592 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.592 * [backup-simplify]: Simplify -1/2 into -1/2 1.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.593 * [backup-simplify]: Simplify (+ 0 0) into 0 1.594 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1.599 * [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 1.599 * [backup-simplify]: Simplify 1/3 into 1/3 1.600 * [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)))) 1.600 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1.600 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1.600 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1.600 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1.600 * [taylor]: Taking taylor expansion of -1 in N 1.600 * [backup-simplify]: Simplify -1 into -1 1.600 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1.600 * [taylor]: Taking taylor expansion of N in N 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.600 * [taylor]: Taking taylor expansion of 1 in N 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.600 * [taylor]: Taking taylor expansion of N in N 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 1 into 1 1.601 * [backup-simplify]: Simplify (/ 1 1) into 1 1.601 * [backup-simplify]: Simplify (- 1) into -1 1.602 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.602 * [backup-simplify]: Simplify (* 0 -1) into 0 1.603 * [backup-simplify]: Simplify (* -1 0) into 0 1.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.604 * [backup-simplify]: Simplify (- 0) into 0 1.604 * [backup-simplify]: Simplify (+ 1 0) into 1 1.605 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 1.605 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.606 * [backup-simplify]: Simplify (log 1) into 0 1.606 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1.606 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1.606 * [taylor]: Taking taylor expansion of -1 in N 1.606 * [backup-simplify]: Simplify -1 into -1 1.606 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1.606 * [taylor]: Taking taylor expansion of N in N 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.606 * [taylor]: Taking taylor expansion of 1 in N 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.606 * [taylor]: Taking taylor expansion of N in N 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.607 * [backup-simplify]: Simplify (/ 1 1) into 1 1.607 * [backup-simplify]: Simplify (- 1) into -1 1.607 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.608 * [backup-simplify]: Simplify (* 0 -1) into 0 1.608 * [backup-simplify]: Simplify (* -1 0) into 0 1.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.609 * [backup-simplify]: Simplify (- 0) into 0 1.610 * [backup-simplify]: Simplify (+ 1 0) into 1 1.611 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 1.611 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.611 * [backup-simplify]: Simplify (log 1) into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.613 * [backup-simplify]: Simplify (- 0) into 0 1.613 * [backup-simplify]: Simplify (+ 0 0) into 0 1.614 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1.615 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1.617 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1.617 * [backup-simplify]: Simplify -1 into -1 1.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.618 * [backup-simplify]: Simplify (- 0) into 0 1.619 * [backup-simplify]: Simplify (+ 0 0) into 0 1.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1.622 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1.625 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.625 * [backup-simplify]: Simplify -1/2 into -1/2 1.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.627 * [backup-simplify]: Simplify (- 0) into 0 1.627 * [backup-simplify]: Simplify (+ 0 0) into 0 1.629 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1.631 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1.635 * [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 1.635 * [backup-simplify]: Simplify -1/3 into -1/3 1.635 * [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)))) 1.636 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.636 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 1.636 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 1.636 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 1.636 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.636 * [taylor]: Taking taylor expansion of N in N 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 1 into 1 1.636 * [taylor]: Taking taylor expansion of 1 in N 1.636 * [backup-simplify]: Simplify 1 into 1 1.636 * [taylor]: Taking taylor expansion of N in N 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 1 into 1 1.636 * [backup-simplify]: Simplify (+ 0 1) into 1 1.637 * [backup-simplify]: Simplify (/ 1 1) into 1 1.637 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 1.637 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.637 * [taylor]: Taking taylor expansion of N in N 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [taylor]: Taking taylor expansion of 1 in N 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [taylor]: Taking taylor expansion of N in N 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [backup-simplify]: Simplify (+ 0 1) into 1 1.637 * [backup-simplify]: Simplify (/ 1 1) into 1 1.637 * [backup-simplify]: Simplify 1 into 1 1.638 * [backup-simplify]: Simplify (+ 1 0) into 1 1.638 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1.638 * [backup-simplify]: Simplify 1 into 1 1.639 * [backup-simplify]: Simplify (+ 0 0) into 0 1.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify (+ 0 0) into 0 1.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify (+ 0 0) into 0 1.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify (+ 0 0) into 0 1.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.642 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify (+ 0 0) into 0 1.643 * [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 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify (+ 0 0) into 0 1.643 * [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 1.643 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 1.644 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 1.644 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 1.644 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1.644 * [taylor]: Taking taylor expansion of N in N 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.644 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.644 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.644 * [taylor]: Taking taylor expansion of N in N 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.644 * [backup-simplify]: Simplify (/ 1 1) into 1 1.644 * [taylor]: Taking taylor expansion of 1 in N 1.644 * [backup-simplify]: Simplify 1 into 1 1.644 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1.644 * [taylor]: Taking taylor expansion of N in N 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.644 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.644 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.644 * [taylor]: Taking taylor expansion of N in N 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.645 * [backup-simplify]: Simplify (/ 1 1) into 1 1.645 * [taylor]: Taking taylor expansion of 1 in N 1.645 * [backup-simplify]: Simplify 1 into 1 1.646 * [backup-simplify]: Simplify (+ 1 0) into 1 1.647 * [backup-simplify]: Simplify (* 0 1) into 0 1.647 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.649 * [backup-simplify]: Simplify (+ 0 1) into 1 1.649 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 1.649 * [backup-simplify]: Simplify 1 into 1 1.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (+ 0 0) into 0 1.651 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1.651 * [backup-simplify]: Simplify 1 into 1 1.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.652 * [backup-simplify]: Simplify (+ 0 0) into 0 1.652 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1.652 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.653 * [backup-simplify]: Simplify (+ 0 0) into 0 1.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1.654 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.655 * [backup-simplify]: Simplify (+ 0 0) into 0 1.656 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (+ 0 0) into 0 1.658 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [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 1.658 * [backup-simplify]: Simplify (+ 0 0) into 0 1.659 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 1.659 * [backup-simplify]: Simplify 0 into 0 1.660 * [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 1.660 * [backup-simplify]: Simplify (+ 0 0) into 0 1.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 1.661 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 1.661 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 1.661 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1.661 * [taylor]: Taking taylor expansion of -1 in N 1.661 * [backup-simplify]: Simplify -1 into -1 1.661 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1.661 * [taylor]: Taking taylor expansion of N in N 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.662 * [taylor]: Taking taylor expansion of 1 in N 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.662 * [taylor]: Taking taylor expansion of N in N 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (/ 1 1) into 1 1.662 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1.662 * [taylor]: Taking taylor expansion of -1 in N 1.662 * [backup-simplify]: Simplify -1 into -1 1.662 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1.662 * [taylor]: Taking taylor expansion of N in N 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.662 * [taylor]: Taking taylor expansion of 1 in N 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.662 * [taylor]: Taking taylor expansion of N in N 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (/ 1 1) into 1 1.663 * [backup-simplify]: Simplify (- 1) into -1 1.663 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.663 * [backup-simplify]: Simplify (* 0 -1) into 0 1.663 * [backup-simplify]: Simplify (* -1 0) into 0 1.663 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.664 * [backup-simplify]: Simplify (- 0) into 0 1.664 * [backup-simplify]: Simplify (+ 1 0) into 1 1.665 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 1.665 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.665 * [backup-simplify]: Simplify 1 into 1 1.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.666 * [backup-simplify]: Simplify (- 0) into 0 1.666 * [backup-simplify]: Simplify (+ 0 0) into 0 1.667 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1.668 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1.668 * [backup-simplify]: Simplify -1 into -1 1.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.668 * [backup-simplify]: Simplify (- 0) into 0 1.669 * [backup-simplify]: Simplify (+ 0 0) into 0 1.669 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1.670 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1.670 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.671 * [backup-simplify]: Simplify (- 0) into 0 1.671 * [backup-simplify]: Simplify (+ 0 0) into 0 1.672 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1.673 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1.673 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.674 * [backup-simplify]: Simplify (- 0) into 0 1.674 * [backup-simplify]: Simplify (+ 0 0) into 0 1.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1.676 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.677 * [backup-simplify]: Simplify (- 0) into 0 1.677 * [backup-simplify]: Simplify (+ 0 0) into 0 1.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1.681 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 1.681 * [backup-simplify]: Simplify 0 into 0 1.682 * [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 1.682 * [backup-simplify]: Simplify (- 0) into 0 1.682 * [backup-simplify]: Simplify (+ 0 0) into 0 1.684 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1.685 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [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 1.686 * [backup-simplify]: Simplify (- 0) into 0 1.686 * [backup-simplify]: Simplify (+ 0 0) into 0 1.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 1.688 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 1.689 * * * [progress]: simplifying candidates 1.689 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 1.689 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 1.690 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 1.690 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 1.691 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 1.691 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 1.691 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 1.691 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 1.691 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 1.691 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 1.691 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 1.691 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 1.691 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 1.691 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 1.691 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 1.691 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 1.691 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 1.691 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 1.691 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 1.691 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 1.691 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 1.691 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 1.691 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 1.691 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 1.691 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 1.692 * [simplify]: Simplifying: (expm1 (log (/ (+ 1 N) N))) (log1p (log (/ (+ 1 N) N))) (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1)) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log 1) (log (/ (+ 1 N) N)) (log (+ 1 N)) (log (/ 1 N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (exp (log (/ (+ 1 N) N))) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (expm1 (/ (+ 1 N) N)) (log1p (/ (+ 1 N) N)) (- (log (+ 1 N)) (log N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (/ (* (* (+ 1 N) (+ 1 N)) (+ 1 N)) (* (* N N) N)) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- (+ 1 N)) (- N) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)) (/ (cbrt (+ 1 N)) (sqrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) 1) (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (/ (+ 1 N) 1) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (* N (+ (* 1 1) (- (* N N) (* 1 N)))) (* N (- 1 N)) (real->posit16 (/ (+ 1 N) N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 1.693 * * [simplify]: iteration 0: 106 enodes 1.726 * * [simplify]: iteration 1: 244 enodes 1.841 * * [simplify]: iteration 2: 583 enodes 2.070 * * [simplify]: iteration 3: 2001 enodes 2.601 * * [simplify]: iteration complete: 2001 enodes 2.601 * * [simplify]: Extracting #0: cost 70 inf + 0 2.607 * * [simplify]: Extracting #1: cost 338 inf + 2 2.610 * * [simplify]: Extracting #2: cost 713 inf + 3667 2.617 * * [simplify]: Extracting #3: cost 442 inf + 46736 2.633 * * [simplify]: Extracting #4: cost 90 inf + 107796 2.653 * * [simplify]: Extracting #5: cost 2 inf + 132930 2.696 * * [simplify]: Extracting #6: cost 0 inf + 133436 2.736 * [simplify]: Simplified to: (expm1 (log (/ (+ 1 N) N))) (log1p (log (/ (+ 1 N) N))) (+ (log (cbrt (/ (+ 1 N) N))) (log (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (* (/ (cbrt (+ 1 N)) (sqrt N)) (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)) (- (- (log (cbrt N))) (log (cbrt N))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) (- (- (log (cbrt N))) (log (cbrt N))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) 0 (log (/ (+ 1 N) N)) (log1p N) (- (log N)) (log1p N) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (/ (+ 1 N) N) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (expm1 (/ (+ 1 N) N)) (log1p (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (/ (+ 1 N) N) (* (/ (+ 1 N) N) (/ (+ 1 N) N))) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- -1 N) (- N) (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (* (/ (cbrt (+ 1 N)) (sqrt N)) (cbrt (+ 1 N))) (/ (cbrt (+ 1 N)) (sqrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (/ (+ 1 N) (cbrt N)) (cbrt N)) (/ (+ 1 N) (sqrt N)) (+ 1 N) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (fma (- (* N N) N) N N) (* (- 1 N) N) (real->posit16 (/ (+ 1 N) N)) (- N (fma 1/2 (* N N) (log N))) (fma 1/3 (/ (/ 1 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) (fma 1/3 (/ (/ 1 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 2.742 * * * [progress]: adding candidates to table 2.970 * * [progress]: iteration 3 / 4 2.970 * * * [progress]: picking best candidate 2.974 * * * * [pick]: Picked # 2.974 * * * [progress]: localizing error 2.993 * * * [progress]: generating rewritten candidates 2.993 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.997 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.000 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.005 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 3.013 * * * [progress]: generating series expansions 3.013 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.014 * [backup-simplify]: Simplify (log (cbrt (/ (+ 1 N) N))) into (log (pow (/ (+ N 1) N) 1/3)) 3.014 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in (N) around 0 3.014 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in N 3.014 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 3.014 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 3.014 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 3.014 * [taylor]: Taking taylor expansion of 1/3 in N 3.014 * [backup-simplify]: Simplify 1/3 into 1/3 3.014 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.014 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.014 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.014 * [taylor]: Taking taylor expansion of N in N 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify 1 into 1 3.014 * [taylor]: Taking taylor expansion of 1 in N 3.014 * [backup-simplify]: Simplify 1 into 1 3.014 * [taylor]: Taking taylor expansion of N in N 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify 1 into 1 3.015 * [backup-simplify]: Simplify (+ 0 1) into 1 3.015 * [backup-simplify]: Simplify (/ 1 1) into 1 3.015 * [backup-simplify]: Simplify (log 1) into 0 3.016 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.016 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.016 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.016 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 3.016 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in N 3.016 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 3.016 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 3.016 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 3.016 * [taylor]: Taking taylor expansion of 1/3 in N 3.016 * [backup-simplify]: Simplify 1/3 into 1/3 3.016 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.016 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.016 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.017 * [taylor]: Taking taylor expansion of N in N 3.017 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify 1 into 1 3.017 * [taylor]: Taking taylor expansion of 1 in N 3.017 * [backup-simplify]: Simplify 1 into 1 3.017 * [taylor]: Taking taylor expansion of N in N 3.017 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify 1 into 1 3.017 * [backup-simplify]: Simplify (+ 0 1) into 1 3.017 * [backup-simplify]: Simplify (/ 1 1) into 1 3.018 * [backup-simplify]: Simplify (log 1) into 0 3.018 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.018 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.018 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.018 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 3.019 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 3.019 * [backup-simplify]: Simplify (+ 1 0) into 1 3.020 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.021 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.022 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.022 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 3.023 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 3.024 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 N) 1/3))) 1)) (pow (pow N -1/3) 1)))) 1) into 1/3 3.024 * [backup-simplify]: Simplify 1/3 into 1/3 3.024 * [backup-simplify]: Simplify (+ 0 0) into 0 3.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.027 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.028 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.029 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 3.030 * [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)) 3.031 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 N) 1/3))) 2)) (pow (pow N -1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 N) 1/3))) 1)) (pow (pow N -1/3) 1)))) 2) into -1/6 3.031 * [backup-simplify]: Simplify -1/6 into -1/6 3.031 * [backup-simplify]: Simplify (+ (* -1/6 (pow N 2)) (+ (* 1/3 N) (log (pow N -1/3)))) into (- (+ (* 1/3 N) (log (pow N -1/3))) (* 1/6 (pow N 2))) 3.031 * [backup-simplify]: Simplify (log (cbrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (pow (* N (+ (/ 1 N) 1)) 1/3)) 3.031 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in (N) around 0 3.031 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in N 3.031 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 3.031 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 3.032 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 3.032 * [taylor]: Taking taylor expansion of 1/3 in N 3.032 * [backup-simplify]: Simplify 1/3 into 1/3 3.032 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.032 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.032 * [taylor]: Taking taylor expansion of N in N 3.032 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify 1 into 1 3.032 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.032 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.032 * [taylor]: Taking taylor expansion of N in N 3.032 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify 1 into 1 3.032 * [backup-simplify]: Simplify (/ 1 1) into 1 3.032 * [taylor]: Taking taylor expansion of 1 in N 3.032 * [backup-simplify]: Simplify 1 into 1 3.033 * [backup-simplify]: Simplify (+ 1 0) into 1 3.033 * [backup-simplify]: Simplify (* 0 1) into 0 3.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.034 * [backup-simplify]: Simplify (+ 0 1) into 1 3.035 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.035 * [backup-simplify]: Simplify (log 1) into 0 3.036 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.037 * [backup-simplify]: Simplify (+ 0 0) into 0 3.038 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.039 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.040 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.040 * [backup-simplify]: Simplify (exp 0) into 1 3.041 * [backup-simplify]: Simplify (log 1) into 0 3.041 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in N 3.041 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 3.041 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 3.041 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 3.041 * [taylor]: Taking taylor expansion of 1/3 in N 3.041 * [backup-simplify]: Simplify 1/3 into 1/3 3.041 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.041 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.041 * [taylor]: Taking taylor expansion of N in N 3.041 * [backup-simplify]: Simplify 0 into 0 3.041 * [backup-simplify]: Simplify 1 into 1 3.041 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.041 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.041 * [taylor]: Taking taylor expansion of N in N 3.041 * [backup-simplify]: Simplify 0 into 0 3.041 * [backup-simplify]: Simplify 1 into 1 3.041 * [backup-simplify]: Simplify (/ 1 1) into 1 3.041 * [taylor]: Taking taylor expansion of 1 in N 3.041 * [backup-simplify]: Simplify 1 into 1 3.042 * [backup-simplify]: Simplify (+ 1 0) into 1 3.042 * [backup-simplify]: Simplify (* 0 1) into 0 3.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.043 * [backup-simplify]: Simplify (+ 0 1) into 1 3.044 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.044 * [backup-simplify]: Simplify (log 1) into 0 3.045 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.053 * [backup-simplify]: Simplify (+ 0 0) into 0 3.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.055 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.056 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.056 * [backup-simplify]: Simplify (exp 0) into 1 3.056 * [backup-simplify]: Simplify (log 1) into 0 3.056 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 3.059 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/3) 1)) (pow 1 1)))) 1) into 1/3 3.059 * [backup-simplify]: Simplify 1/3 into 1/3 3.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.060 * [backup-simplify]: Simplify (+ 0 0) into 0 3.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.064 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.065 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 3.067 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 3.071 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/3) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/9) 1)) (pow 1 1)))) 2) into -1/6 3.071 * [backup-simplify]: Simplify -1/6 into -1/6 3.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.073 * [backup-simplify]: Simplify (+ 0 0) into 0 3.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.079 * [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 3.080 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into 1/9 3.083 * [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 3.088 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/3) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/3) 1) (pow (* 2 -1/9) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 5/81) 1)) (pow 1 1)))) 6) into 1/9 3.088 * [backup-simplify]: Simplify 1/9 into 1/9 3.089 * [backup-simplify]: Simplify (+ (* 1/9 (pow (/ 1 N) 3)) (+ (* -1/6 (pow (/ 1 N) 2)) (* 1/3 (/ 1 N)))) into (- (+ (* 1/9 (/ 1 (pow N 3))) (* 1/3 (/ 1 N))) (* 1/6 (/ 1 (pow N 2)))) 3.089 * [backup-simplify]: Simplify (log (cbrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1))) 3.089 * [approximate]: Taking taylor expansion of (log (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1))) in (N) around 0 3.089 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1))) in N 3.089 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1)) in N 3.089 * [taylor]: Taking taylor expansion of (pow (* N (- 1 (/ 1 N))) 1/3) in N 3.089 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1 (/ 1 N)))))) in N 3.089 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1 (/ 1 N))))) in N 3.089 * [taylor]: Taking taylor expansion of 1/3 in N 3.089 * [backup-simplify]: Simplify 1/3 into 1/3 3.089 * [taylor]: Taking taylor expansion of (log (* N (- 1 (/ 1 N)))) in N 3.089 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.089 * [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 * [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 3.091 * [backup-simplify]: Simplify (- 1) into -1 3.091 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.091 * [backup-simplify]: Simplify (* 0 -1) into 0 3.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.092 * [backup-simplify]: Simplify (- 0) into 0 3.093 * [backup-simplify]: Simplify (+ 1 0) into 1 3.093 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.094 * [backup-simplify]: Simplify (log -1) into (log -1) 3.095 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 3.096 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 3.096 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.097 * [taylor]: Taking taylor expansion of -1 in N 3.097 * [backup-simplify]: Simplify -1 into -1 3.097 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.098 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.100 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 3.102 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow -1 1/3))) into (log (* (cbrt -1) (pow -1 1/3))) 3.102 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1))) in N 3.102 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1)) in N 3.102 * [taylor]: Taking taylor expansion of (pow (* N (- 1 (/ 1 N))) 1/3) in N 3.102 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1 (/ 1 N)))))) in N 3.102 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1 (/ 1 N))))) in N 3.102 * [taylor]: Taking taylor expansion of 1/3 in N 3.102 * [backup-simplify]: Simplify 1/3 into 1/3 3.102 * [taylor]: Taking taylor expansion of (log (* N (- 1 (/ 1 N)))) in N 3.102 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.102 * [taylor]: Taking taylor expansion of N in N 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify 1 into 1 3.102 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.102 * [taylor]: Taking taylor expansion of 1 in N 3.102 * [backup-simplify]: Simplify 1 into 1 3.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.102 * [taylor]: Taking taylor expansion of N in N 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify 1 into 1 3.102 * [backup-simplify]: Simplify (/ 1 1) into 1 3.103 * [backup-simplify]: Simplify (- 1) into -1 3.103 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.104 * [backup-simplify]: Simplify (* 0 -1) into 0 3.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.105 * [backup-simplify]: Simplify (- 0) into 0 3.105 * [backup-simplify]: Simplify (+ 1 0) into 1 3.106 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.106 * [backup-simplify]: Simplify (log -1) into (log -1) 3.107 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 3.108 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 3.108 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.108 * [taylor]: Taking taylor expansion of -1 in N 3.108 * [backup-simplify]: Simplify -1 into -1 3.109 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.109 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.111 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 3.113 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow -1 1/3))) into (log (* (cbrt -1) (pow -1 1/3))) 3.115 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow -1 1/3))) into (log (* (cbrt -1) (pow -1 1/3))) 3.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.116 * [backup-simplify]: Simplify (- 0) into 0 3.116 * [backup-simplify]: Simplify (+ 0 0) into 0 3.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.118 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 3.119 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (log -1))) into -1/3 3.123 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) 3.126 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* -1/3 (pow -1 1/3)) (cbrt -1))) into (- (* 1/3 (* (cbrt -1) (pow -1 1/3)))) 3.143 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/3 (* (cbrt -1) (pow -1 1/3))))) 1)) (pow (* (cbrt -1) (pow -1 1/3)) 1)))) 1) into -1/3 3.143 * [backup-simplify]: Simplify -1/3 into -1/3 3.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.146 * [backup-simplify]: Simplify (- 0) into 0 3.146 * [backup-simplify]: Simplify (+ 0 0) into 0 3.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.150 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 3.151 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log -1)))) into -1/6 3.156 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow -1 1/3)) 3.163 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* -1/3 (pow -1 1/3)) 0) (* (* -1/9 (pow -1 1/3)) (cbrt -1)))) into (- (* 1/9 (* (cbrt -1) (pow -1 1/3)))) 3.202 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/3 (* (cbrt -1) (pow -1 1/3))))) 2)) (pow (* (cbrt -1) (pow -1 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/9 (* (cbrt -1) (pow -1 1/3))))) 1)) (pow (* (cbrt -1) (pow -1 1/3)) 1)))) 2) into -1/6 3.202 * [backup-simplify]: Simplify -1/6 into -1/6 3.203 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 2)) (+ (* -1/3 (/ 1 (- N))) (log (* (cbrt -1) (pow -1 1/3))))) into (- (+ (log (* (cbrt -1) (pow -1 1/3))) (* 1/3 (/ 1 N))) (* 1/6 (/ 1 (pow N 2)))) 3.203 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.203 * [backup-simplify]: Simplify (log (cbrt (/ (+ 1 N) N))) into (log (pow (/ (+ N 1) N) 1/3)) 3.204 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in (N) around 0 3.204 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in N 3.204 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 3.204 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 3.204 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 3.204 * [taylor]: Taking taylor expansion of 1/3 in N 3.204 * [backup-simplify]: Simplify 1/3 into 1/3 3.204 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.204 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.204 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.204 * [taylor]: Taking taylor expansion of N in N 3.204 * [backup-simplify]: Simplify 0 into 0 3.204 * [backup-simplify]: Simplify 1 into 1 3.204 * [taylor]: Taking taylor expansion of 1 in N 3.204 * [backup-simplify]: Simplify 1 into 1 3.204 * [taylor]: Taking taylor expansion of N in N 3.204 * [backup-simplify]: Simplify 0 into 0 3.204 * [backup-simplify]: Simplify 1 into 1 3.204 * [backup-simplify]: Simplify (+ 0 1) into 1 3.204 * [backup-simplify]: Simplify (/ 1 1) into 1 3.205 * [backup-simplify]: Simplify (log 1) into 0 3.205 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.205 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.205 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.205 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 3.205 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in N 3.205 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 3.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 3.205 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 3.205 * [taylor]: Taking taylor expansion of 1/3 in N 3.205 * [backup-simplify]: Simplify 1/3 into 1/3 3.205 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.205 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.205 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.205 * [taylor]: Taking taylor expansion of N in N 3.205 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify 1 into 1 3.205 * [taylor]: Taking taylor expansion of 1 in N 3.205 * [backup-simplify]: Simplify 1 into 1 3.205 * [taylor]: Taking taylor expansion of N in N 3.205 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify 1 into 1 3.206 * [backup-simplify]: Simplify (+ 0 1) into 1 3.206 * [backup-simplify]: Simplify (/ 1 1) into 1 3.206 * [backup-simplify]: Simplify (log 1) into 0 3.206 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.206 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.206 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.207 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 3.207 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 3.207 * [backup-simplify]: Simplify (+ 1 0) into 1 3.208 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.208 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.209 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.209 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 3.209 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 3.210 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 N) 1/3))) 1)) (pow (pow N -1/3) 1)))) 1) into 1/3 3.210 * [backup-simplify]: Simplify 1/3 into 1/3 3.210 * [backup-simplify]: Simplify (+ 0 0) into 0 3.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.212 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.212 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.213 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 3.214 * [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)) 3.214 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 N) 1/3))) 2)) (pow (pow N -1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 N) 1/3))) 1)) (pow (pow N -1/3) 1)))) 2) into -1/6 3.214 * [backup-simplify]: Simplify -1/6 into -1/6 3.214 * [backup-simplify]: Simplify (+ (* -1/6 (pow N 2)) (+ (* 1/3 N) (log (pow N -1/3)))) into (- (+ (* 1/3 N) (log (pow N -1/3))) (* 1/6 (pow N 2))) 3.214 * [backup-simplify]: Simplify (log (cbrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (pow (* N (+ (/ 1 N) 1)) 1/3)) 3.214 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in (N) around 0 3.215 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in N 3.215 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 3.215 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 3.215 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 3.215 * [taylor]: Taking taylor expansion of 1/3 in N 3.215 * [backup-simplify]: Simplify 1/3 into 1/3 3.215 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.215 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.215 * [taylor]: Taking taylor expansion of N in N 3.215 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify 1 into 1 3.215 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.215 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.215 * [taylor]: Taking taylor expansion of N in N 3.215 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify 1 into 1 3.215 * [backup-simplify]: Simplify (/ 1 1) into 1 3.215 * [taylor]: Taking taylor expansion of 1 in N 3.215 * [backup-simplify]: Simplify 1 into 1 3.215 * [backup-simplify]: Simplify (+ 1 0) into 1 3.216 * [backup-simplify]: Simplify (* 0 1) into 0 3.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.216 * [backup-simplify]: Simplify (+ 0 1) into 1 3.217 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.217 * [backup-simplify]: Simplify (log 1) into 0 3.217 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.218 * [backup-simplify]: Simplify (+ 0 0) into 0 3.219 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.219 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.220 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.220 * [backup-simplify]: Simplify (exp 0) into 1 3.220 * [backup-simplify]: Simplify (log 1) into 0 3.220 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in N 3.220 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 3.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 3.220 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 3.220 * [taylor]: Taking taylor expansion of 1/3 in N 3.220 * [backup-simplify]: Simplify 1/3 into 1/3 3.220 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.220 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.220 * [taylor]: Taking taylor expansion of N in N 3.220 * [backup-simplify]: Simplify 0 into 0 3.220 * [backup-simplify]: Simplify 1 into 1 3.220 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.220 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.220 * [taylor]: Taking taylor expansion of N in N 3.220 * [backup-simplify]: Simplify 0 into 0 3.220 * [backup-simplify]: Simplify 1 into 1 3.220 * [backup-simplify]: Simplify (/ 1 1) into 1 3.220 * [taylor]: Taking taylor expansion of 1 in N 3.221 * [backup-simplify]: Simplify 1 into 1 3.221 * [backup-simplify]: Simplify (+ 1 0) into 1 3.221 * [backup-simplify]: Simplify (* 0 1) into 0 3.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.222 * [backup-simplify]: Simplify (+ 0 1) into 1 3.222 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.222 * [backup-simplify]: Simplify (log 1) into 0 3.223 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.223 * [backup-simplify]: Simplify (+ 0 0) into 0 3.224 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.225 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.225 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.225 * [backup-simplify]: Simplify (exp 0) into 1 3.226 * [backup-simplify]: Simplify (log 1) into 0 3.226 * [backup-simplify]: Simplify 0 into 0 3.227 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 3.229 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/3) 1)) (pow 1 1)))) 1) into 1/3 3.229 * [backup-simplify]: Simplify 1/3 into 1/3 3.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.231 * [backup-simplify]: Simplify (+ 0 0) into 0 3.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.236 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.237 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 3.240 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 3.243 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/3) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/9) 1)) (pow 1 1)))) 2) into -1/6 3.243 * [backup-simplify]: Simplify -1/6 into -1/6 3.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.244 * [backup-simplify]: Simplify (+ 0 0) into 0 3.245 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.250 * [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 3.251 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into 1/9 3.253 * [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 3.256 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/3) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/3) 1) (pow (* 2 -1/9) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 5/81) 1)) (pow 1 1)))) 6) into 1/9 3.256 * [backup-simplify]: Simplify 1/9 into 1/9 3.256 * [backup-simplify]: Simplify (+ (* 1/9 (pow (/ 1 N) 3)) (+ (* -1/6 (pow (/ 1 N) 2)) (* 1/3 (/ 1 N)))) into (- (+ (* 1/9 (/ 1 (pow N 3))) (* 1/3 (/ 1 N))) (* 1/6 (/ 1 (pow N 2)))) 3.256 * [backup-simplify]: Simplify (log (cbrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1))) 3.257 * [approximate]: Taking taylor expansion of (log (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1))) in (N) around 0 3.257 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1))) in N 3.257 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1)) in N 3.257 * [taylor]: Taking taylor expansion of (pow (* N (- 1 (/ 1 N))) 1/3) in N 3.257 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1 (/ 1 N)))))) in N 3.257 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1 (/ 1 N))))) in N 3.257 * [taylor]: Taking taylor expansion of 1/3 in N 3.257 * [backup-simplify]: Simplify 1/3 into 1/3 3.257 * [taylor]: Taking taylor expansion of (log (* N (- 1 (/ 1 N)))) in N 3.257 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.257 * [taylor]: Taking taylor expansion of N in N 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify 1 into 1 3.257 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.257 * [taylor]: Taking taylor expansion of 1 in N 3.257 * [backup-simplify]: Simplify 1 into 1 3.257 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.257 * [taylor]: Taking taylor expansion of N in N 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify 1 into 1 3.257 * [backup-simplify]: Simplify (/ 1 1) into 1 3.257 * [backup-simplify]: Simplify (- 1) into -1 3.258 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.258 * [backup-simplify]: Simplify (* 0 -1) into 0 3.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.259 * [backup-simplify]: Simplify (- 0) into 0 3.259 * [backup-simplify]: Simplify (+ 1 0) into 1 3.259 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.260 * [backup-simplify]: Simplify (log -1) into (log -1) 3.260 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 3.261 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 3.261 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.261 * [taylor]: Taking taylor expansion of -1 in N 3.261 * [backup-simplify]: Simplify -1 into -1 3.261 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.262 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.263 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 3.264 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow -1 1/3))) into (log (* (cbrt -1) (pow -1 1/3))) 3.264 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1))) in N 3.264 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1)) in N 3.264 * [taylor]: Taking taylor expansion of (pow (* N (- 1 (/ 1 N))) 1/3) in N 3.264 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1 (/ 1 N)))))) in N 3.264 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1 (/ 1 N))))) in N 3.264 * [taylor]: Taking taylor expansion of 1/3 in N 3.264 * [backup-simplify]: Simplify 1/3 into 1/3 3.264 * [taylor]: Taking taylor expansion of (log (* N (- 1 (/ 1 N)))) in N 3.264 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.264 * [taylor]: Taking taylor expansion of N in N 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify 1 into 1 3.264 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.264 * [taylor]: Taking taylor expansion of 1 in N 3.264 * [backup-simplify]: Simplify 1 into 1 3.264 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.264 * [taylor]: Taking taylor expansion of N in N 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify 1 into 1 3.265 * [backup-simplify]: Simplify (/ 1 1) into 1 3.265 * [backup-simplify]: Simplify (- 1) into -1 3.265 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.265 * [backup-simplify]: Simplify (* 0 -1) into 0 3.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.266 * [backup-simplify]: Simplify (- 0) into 0 3.266 * [backup-simplify]: Simplify (+ 1 0) into 1 3.267 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.267 * [backup-simplify]: Simplify (log -1) into (log -1) 3.268 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 3.268 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 3.268 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.268 * [taylor]: Taking taylor expansion of -1 in N 3.268 * [backup-simplify]: Simplify -1 into -1 3.269 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.269 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.270 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 3.271 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow -1 1/3))) into (log (* (cbrt -1) (pow -1 1/3))) 3.273 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow -1 1/3))) into (log (* (cbrt -1) (pow -1 1/3))) 3.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.274 * [backup-simplify]: Simplify (- 0) into 0 3.274 * [backup-simplify]: Simplify (+ 0 0) into 0 3.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 3.276 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (log -1))) into -1/3 3.278 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) 3.282 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* -1/3 (pow -1 1/3)) (cbrt -1))) into (- (* 1/3 (* (cbrt -1) (pow -1 1/3)))) 3.303 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/3 (* (cbrt -1) (pow -1 1/3))))) 1)) (pow (* (cbrt -1) (pow -1 1/3)) 1)))) 1) into -1/3 3.303 * [backup-simplify]: Simplify -1/3 into -1/3 3.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.305 * [backup-simplify]: Simplify (- 0) into 0 3.305 * [backup-simplify]: Simplify (+ 0 0) into 0 3.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.307 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 3.308 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log -1)))) into -1/6 3.311 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow -1 1/3)) 3.315 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* -1/3 (pow -1 1/3)) 0) (* (* -1/9 (pow -1 1/3)) (cbrt -1)))) into (- (* 1/9 (* (cbrt -1) (pow -1 1/3)))) 3.344 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/3 (* (cbrt -1) (pow -1 1/3))))) 2)) (pow (* (cbrt -1) (pow -1 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/9 (* (cbrt -1) (pow -1 1/3))))) 1)) (pow (* (cbrt -1) (pow -1 1/3)) 1)))) 2) into -1/6 3.344 * [backup-simplify]: Simplify -1/6 into -1/6 3.347 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 2)) (+ (* -1/3 (/ 1 (- N))) (log (* (cbrt -1) (pow -1 1/3))))) into (- (+ (log (* (cbrt -1) (pow -1 1/3))) (* 1/3 (/ 1 N))) (* 1/6 (/ 1 (pow N 2)))) 3.347 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.348 * [backup-simplify]: Simplify (log (cbrt (/ (+ 1 N) N))) into (log (pow (/ (+ N 1) N) 1/3)) 3.348 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in (N) around 0 3.348 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in N 3.348 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 3.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 3.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 3.348 * [taylor]: Taking taylor expansion of 1/3 in N 3.348 * [backup-simplify]: Simplify 1/3 into 1/3 3.348 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.348 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.348 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.348 * [taylor]: Taking taylor expansion of N in N 3.348 * [backup-simplify]: Simplify 0 into 0 3.348 * [backup-simplify]: Simplify 1 into 1 3.348 * [taylor]: Taking taylor expansion of 1 in N 3.348 * [backup-simplify]: Simplify 1 into 1 3.348 * [taylor]: Taking taylor expansion of N in N 3.348 * [backup-simplify]: Simplify 0 into 0 3.348 * [backup-simplify]: Simplify 1 into 1 3.349 * [backup-simplify]: Simplify (+ 0 1) into 1 3.349 * [backup-simplify]: Simplify (/ 1 1) into 1 3.350 * [backup-simplify]: Simplify (log 1) into 0 3.350 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.350 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.350 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.350 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 3.350 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in N 3.350 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 3.350 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 3.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 3.351 * [taylor]: Taking taylor expansion of 1/3 in N 3.351 * [backup-simplify]: Simplify 1/3 into 1/3 3.351 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.351 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.351 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.351 * [taylor]: Taking taylor expansion of N in N 3.351 * [backup-simplify]: Simplify 0 into 0 3.351 * [backup-simplify]: Simplify 1 into 1 3.351 * [taylor]: Taking taylor expansion of 1 in N 3.351 * [backup-simplify]: Simplify 1 into 1 3.351 * [taylor]: Taking taylor expansion of N in N 3.351 * [backup-simplify]: Simplify 0 into 0 3.351 * [backup-simplify]: Simplify 1 into 1 3.351 * [backup-simplify]: Simplify (+ 0 1) into 1 3.352 * [backup-simplify]: Simplify (/ 1 1) into 1 3.352 * [backup-simplify]: Simplify (log 1) into 0 3.353 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.353 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.353 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.353 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 3.353 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 3.354 * [backup-simplify]: Simplify (+ 1 0) into 1 3.355 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.356 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.357 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.357 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 3.358 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 3.359 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 N) 1/3))) 1)) (pow (pow N -1/3) 1)))) 1) into 1/3 3.359 * [backup-simplify]: Simplify 1/3 into 1/3 3.359 * [backup-simplify]: Simplify (+ 0 0) into 0 3.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.363 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.364 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.365 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 3.367 * [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)) 3.368 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 N) 1/3))) 2)) (pow (pow N -1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 N) 1/3))) 1)) (pow (pow N -1/3) 1)))) 2) into -1/6 3.368 * [backup-simplify]: Simplify -1/6 into -1/6 3.368 * [backup-simplify]: Simplify (+ (* -1/6 (pow N 2)) (+ (* 1/3 N) (log (pow N -1/3)))) into (- (+ (* 1/3 N) (log (pow N -1/3))) (* 1/6 (pow N 2))) 3.368 * [backup-simplify]: Simplify (log (cbrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (pow (* N (+ (/ 1 N) 1)) 1/3)) 3.368 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in (N) around 0 3.368 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in N 3.368 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 3.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 3.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 3.368 * [taylor]: Taking taylor expansion of 1/3 in N 3.368 * [backup-simplify]: Simplify 1/3 into 1/3 3.368 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.368 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.368 * [taylor]: Taking taylor expansion of N in N 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 1 into 1 3.368 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.369 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 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 (+ 1 0) into 1 3.370 * [backup-simplify]: Simplify (* 0 1) into 0 3.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.372 * [backup-simplify]: Simplify (+ 0 1) into 1 3.373 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.374 * [backup-simplify]: Simplify (log 1) into 0 3.374 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.376 * [backup-simplify]: Simplify (+ 0 0) into 0 3.377 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.378 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.379 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.379 * [backup-simplify]: Simplify (exp 0) into 1 3.379 * [backup-simplify]: Simplify (log 1) into 0 3.379 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in N 3.379 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 3.379 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 3.379 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 3.379 * [taylor]: Taking taylor expansion of 1/3 in N 3.379 * [backup-simplify]: Simplify 1/3 into 1/3 3.379 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.379 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.379 * [taylor]: Taking taylor expansion of N in N 3.379 * [backup-simplify]: Simplify 0 into 0 3.380 * [backup-simplify]: Simplify 1 into 1 3.380 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.380 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.380 * [taylor]: Taking taylor expansion of N in N 3.380 * [backup-simplify]: Simplify 0 into 0 3.380 * [backup-simplify]: Simplify 1 into 1 3.380 * [backup-simplify]: Simplify (/ 1 1) into 1 3.380 * [taylor]: Taking taylor expansion of 1 in N 3.380 * [backup-simplify]: Simplify 1 into 1 3.381 * [backup-simplify]: Simplify (+ 1 0) into 1 3.381 * [backup-simplify]: Simplify (* 0 1) into 0 3.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.382 * [backup-simplify]: Simplify (+ 0 1) into 1 3.383 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.383 * [backup-simplify]: Simplify (log 1) into 0 3.384 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.385 * [backup-simplify]: Simplify (+ 0 0) into 0 3.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.388 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.388 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.388 * [backup-simplify]: Simplify (exp 0) into 1 3.389 * [backup-simplify]: Simplify (log 1) into 0 3.389 * [backup-simplify]: Simplify 0 into 0 3.390 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 3.391 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/3) 1)) (pow 1 1)))) 1) into 1/3 3.391 * [backup-simplify]: Simplify 1/3 into 1/3 3.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.393 * [backup-simplify]: Simplify (+ 0 0) into 0 3.394 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.397 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.398 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 3.400 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 3.403 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/3) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/9) 1)) (pow 1 1)))) 2) into -1/6 3.403 * [backup-simplify]: Simplify -1/6 into -1/6 3.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.404 * [backup-simplify]: Simplify (+ 0 0) into 0 3.406 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.411 * [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 3.412 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into 1/9 3.416 * [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 3.422 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/3) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/3) 1) (pow (* 2 -1/9) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 5/81) 1)) (pow 1 1)))) 6) into 1/9 3.422 * [backup-simplify]: Simplify 1/9 into 1/9 3.422 * [backup-simplify]: Simplify (+ (* 1/9 (pow (/ 1 N) 3)) (+ (* -1/6 (pow (/ 1 N) 2)) (* 1/3 (/ 1 N)))) into (- (+ (* 1/9 (/ 1 (pow N 3))) (* 1/3 (/ 1 N))) (* 1/6 (/ 1 (pow N 2)))) 3.423 * [backup-simplify]: Simplify (log (cbrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1))) 3.423 * [approximate]: Taking taylor expansion of (log (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1))) in (N) around 0 3.423 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1))) in N 3.423 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1)) in N 3.423 * [taylor]: Taking taylor expansion of (pow (* N (- 1 (/ 1 N))) 1/3) in N 3.423 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1 (/ 1 N)))))) in N 3.423 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1 (/ 1 N))))) in N 3.423 * [taylor]: Taking taylor expansion of 1/3 in N 3.423 * [backup-simplify]: Simplify 1/3 into 1/3 3.423 * [taylor]: Taking taylor expansion of (log (* N (- 1 (/ 1 N)))) in N 3.423 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.423 * [taylor]: Taking taylor expansion of N in N 3.423 * [backup-simplify]: Simplify 0 into 0 3.423 * [backup-simplify]: Simplify 1 into 1 3.423 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.423 * [taylor]: Taking taylor expansion of 1 in N 3.423 * [backup-simplify]: Simplify 1 into 1 3.423 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.423 * [taylor]: Taking taylor expansion of N in N 3.423 * [backup-simplify]: Simplify 0 into 0 3.423 * [backup-simplify]: Simplify 1 into 1 3.424 * [backup-simplify]: Simplify (/ 1 1) into 1 3.424 * [backup-simplify]: Simplify (- 1) into -1 3.425 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.425 * [backup-simplify]: Simplify (* 0 -1) into 0 3.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.426 * [backup-simplify]: Simplify (- 0) into 0 3.427 * [backup-simplify]: Simplify (+ 1 0) into 1 3.427 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.433 * [backup-simplify]: Simplify (log -1) into (log -1) 3.434 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 3.435 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 3.435 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.435 * [taylor]: Taking taylor expansion of -1 in N 3.435 * [backup-simplify]: Simplify -1 into -1 3.435 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.435 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.436 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 3.438 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow -1 1/3))) into (log (* (cbrt -1) (pow -1 1/3))) 3.438 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1))) in N 3.438 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1)) in N 3.438 * [taylor]: Taking taylor expansion of (pow (* N (- 1 (/ 1 N))) 1/3) in N 3.438 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1 (/ 1 N)))))) in N 3.438 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1 (/ 1 N))))) in N 3.438 * [taylor]: Taking taylor expansion of 1/3 in N 3.438 * [backup-simplify]: Simplify 1/3 into 1/3 3.438 * [taylor]: Taking taylor expansion of (log (* N (- 1 (/ 1 N)))) in N 3.438 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.438 * [taylor]: Taking taylor expansion of N in N 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [backup-simplify]: Simplify 1 into 1 3.438 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.438 * [taylor]: Taking taylor expansion of 1 in N 3.438 * [backup-simplify]: Simplify 1 into 1 3.438 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.438 * [taylor]: Taking taylor expansion of N in N 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [backup-simplify]: Simplify 1 into 1 3.438 * [backup-simplify]: Simplify (/ 1 1) into 1 3.438 * [backup-simplify]: Simplify (- 1) into -1 3.439 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.439 * [backup-simplify]: Simplify (* 0 -1) into 0 3.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.440 * [backup-simplify]: Simplify (- 0) into 0 3.440 * [backup-simplify]: Simplify (+ 1 0) into 1 3.440 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.441 * [backup-simplify]: Simplify (log -1) into (log -1) 3.441 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 3.442 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 3.442 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.442 * [taylor]: Taking taylor expansion of -1 in N 3.442 * [backup-simplify]: Simplify -1 into -1 3.442 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.443 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.444 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 3.445 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow -1 1/3))) into (log (* (cbrt -1) (pow -1 1/3))) 3.447 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow -1 1/3))) into (log (* (cbrt -1) (pow -1 1/3))) 3.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.447 * [backup-simplify]: Simplify (- 0) into 0 3.448 * [backup-simplify]: Simplify (+ 0 0) into 0 3.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.449 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 3.450 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (log -1))) into -1/3 3.452 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) 3.454 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* -1/3 (pow -1 1/3)) (cbrt -1))) into (- (* 1/3 (* (cbrt -1) (pow -1 1/3)))) 3.466 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/3 (* (cbrt -1) (pow -1 1/3))))) 1)) (pow (* (cbrt -1) (pow -1 1/3)) 1)))) 1) into -1/3 3.466 * [backup-simplify]: Simplify -1/3 into -1/3 3.467 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.468 * [backup-simplify]: Simplify (- 0) into 0 3.468 * [backup-simplify]: Simplify (+ 0 0) into 0 3.469 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.471 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 3.472 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log -1)))) into -1/6 3.474 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow -1 1/3)) 3.479 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* -1/3 (pow -1 1/3)) 0) (* (* -1/9 (pow -1 1/3)) (cbrt -1)))) into (- (* 1/9 (* (cbrt -1) (pow -1 1/3)))) 3.509 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/3 (* (cbrt -1) (pow -1 1/3))))) 2)) (pow (* (cbrt -1) (pow -1 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/9 (* (cbrt -1) (pow -1 1/3))))) 1)) (pow (* (cbrt -1) (pow -1 1/3)) 1)))) 2) into -1/6 3.509 * [backup-simplify]: Simplify -1/6 into -1/6 3.512 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 2)) (+ (* -1/3 (/ 1 (- N))) (log (* (cbrt -1) (pow -1 1/3))))) into (- (+ (log (* (cbrt -1) (pow -1 1/3))) (* 1/3 (/ 1 N))) (* 1/6 (/ 1 (pow N 2)))) 3.512 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.512 * [backup-simplify]: Simplify (cbrt (/ (+ 1 N) N)) into (pow (/ (+ N 1) N) 1/3) 3.512 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in (N) around 0 3.512 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 3.512 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 3.512 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 3.512 * [taylor]: Taking taylor expansion of 1/3 in N 3.512 * [backup-simplify]: Simplify 1/3 into 1/3 3.512 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.512 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.512 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.512 * [taylor]: Taking taylor expansion of N in N 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [taylor]: Taking taylor expansion of 1 in N 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [taylor]: Taking taylor expansion of N in N 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify 1 into 1 3.513 * [backup-simplify]: Simplify (+ 0 1) into 1 3.513 * [backup-simplify]: Simplify (/ 1 1) into 1 3.513 * [backup-simplify]: Simplify (log 1) into 0 3.514 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.514 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.514 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.514 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 3.514 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 3.514 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 3.514 * [taylor]: Taking taylor expansion of 1/3 in N 3.514 * [backup-simplify]: Simplify 1/3 into 1/3 3.514 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.514 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.514 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.514 * [taylor]: Taking taylor expansion of N in N 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 1 into 1 3.514 * [taylor]: Taking taylor expansion of 1 in N 3.514 * [backup-simplify]: Simplify 1 into 1 3.514 * [taylor]: Taking taylor expansion of N in N 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 1 into 1 3.515 * [backup-simplify]: Simplify (+ 0 1) into 1 3.515 * [backup-simplify]: Simplify (/ 1 1) into 1 3.515 * [backup-simplify]: Simplify (log 1) into 0 3.516 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.516 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.516 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.516 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.517 * [backup-simplify]: Simplify (+ 1 0) into 1 3.517 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.518 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.518 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.519 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 3.519 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 3.520 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) 3.520 * [backup-simplify]: Simplify (+ 0 0) into 0 3.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.522 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.522 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.523 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 3.524 * [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)) 3.524 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 3.524 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 N) 1/3)) (pow N 2)) (+ (* (* 1/3 (pow (/ 1 N) 1/3)) N) (pow N -1/3))) into (- (+ (* 1/3 (pow (pow N 2) 1/3)) (pow N -1/3)) (* 1/9 (pow (pow N 5) 1/3))) 3.524 * [backup-simplify]: Simplify (cbrt (/ (+ 1 (/ 1 N)) (/ 1 N))) into (pow (* N (+ (/ 1 N) 1)) 1/3) 3.524 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in (N) around 0 3.524 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 3.524 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 3.524 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 3.524 * [taylor]: Taking taylor expansion of 1/3 in N 3.524 * [backup-simplify]: Simplify 1/3 into 1/3 3.524 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.524 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.524 * [taylor]: Taking taylor expansion of N in N 3.524 * [backup-simplify]: Simplify 0 into 0 3.524 * [backup-simplify]: Simplify 1 into 1 3.524 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.524 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.524 * [taylor]: Taking taylor expansion of N in N 3.524 * [backup-simplify]: Simplify 0 into 0 3.524 * [backup-simplify]: Simplify 1 into 1 3.525 * [backup-simplify]: Simplify (/ 1 1) into 1 3.525 * [taylor]: Taking taylor expansion of 1 in N 3.525 * [backup-simplify]: Simplify 1 into 1 3.525 * [backup-simplify]: Simplify (+ 1 0) into 1 3.525 * [backup-simplify]: Simplify (* 0 1) into 0 3.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.526 * [backup-simplify]: Simplify (+ 0 1) into 1 3.526 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.527 * [backup-simplify]: Simplify (log 1) into 0 3.527 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.528 * [backup-simplify]: Simplify (+ 0 0) into 0 3.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.535 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.536 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.536 * [backup-simplify]: Simplify (exp 0) into 1 3.536 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 3.536 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 3.536 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 3.536 * [taylor]: Taking taylor expansion of 1/3 in N 3.536 * [backup-simplify]: Simplify 1/3 into 1/3 3.536 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.536 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.536 * [taylor]: Taking taylor expansion of N in N 3.536 * [backup-simplify]: Simplify 0 into 0 3.536 * [backup-simplify]: Simplify 1 into 1 3.536 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.537 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.537 * [taylor]: Taking taylor expansion of N in N 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify 1 into 1 3.537 * [backup-simplify]: Simplify (/ 1 1) into 1 3.537 * [taylor]: Taking taylor expansion of 1 in N 3.537 * [backup-simplify]: Simplify 1 into 1 3.537 * [backup-simplify]: Simplify (+ 1 0) into 1 3.537 * [backup-simplify]: Simplify (* 0 1) into 0 3.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.538 * [backup-simplify]: Simplify (+ 0 1) into 1 3.539 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.539 * [backup-simplify]: Simplify (log 1) into 0 3.539 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.540 * [backup-simplify]: Simplify (+ 0 0) into 0 3.540 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.541 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.542 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.542 * [backup-simplify]: Simplify (exp 0) into 1 3.542 * [backup-simplify]: Simplify 1 into 1 3.542 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 3.542 * [backup-simplify]: Simplify 1/3 into 1/3 3.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.543 * [backup-simplify]: Simplify (+ 0 0) into 0 3.544 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.545 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.546 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 3.547 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 3.547 * [backup-simplify]: Simplify -1/9 into -1/9 3.547 * [backup-simplify]: Simplify (+ (* -1/9 (pow (/ 1 N) 2)) (+ (* 1/3 (/ 1 N)) 1)) into (- (+ (* 1/3 (/ 1 N)) 1) (* 1/9 (/ 1 (pow N 2)))) 3.547 * [backup-simplify]: Simplify (cbrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1)) 3.547 * [approximate]: Taking taylor expansion of (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1)) in (N) around 0 3.547 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1)) in N 3.547 * [taylor]: Taking taylor expansion of (pow (* N (- 1 (/ 1 N))) 1/3) in N 3.547 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1 (/ 1 N)))))) in N 3.547 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1 (/ 1 N))))) in N 3.547 * [taylor]: Taking taylor expansion of 1/3 in N 3.548 * [backup-simplify]: Simplify 1/3 into 1/3 3.548 * [taylor]: Taking taylor expansion of (log (* N (- 1 (/ 1 N)))) in N 3.548 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.548 * [taylor]: Taking taylor expansion of N in N 3.548 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify 1 into 1 3.548 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.548 * [taylor]: Taking taylor expansion of 1 in N 3.548 * [backup-simplify]: Simplify 1 into 1 3.548 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.548 * [taylor]: Taking taylor expansion of N in N 3.548 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify 1 into 1 3.548 * [backup-simplify]: Simplify (/ 1 1) into 1 3.548 * [backup-simplify]: Simplify (- 1) into -1 3.548 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.549 * [backup-simplify]: Simplify (* 0 -1) into 0 3.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.549 * [backup-simplify]: Simplify (- 0) into 0 3.550 * [backup-simplify]: Simplify (+ 1 0) into 1 3.550 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.550 * [backup-simplify]: Simplify (log -1) into (log -1) 3.551 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 3.552 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 3.552 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.552 * [taylor]: Taking taylor expansion of -1 in N 3.552 * [backup-simplify]: Simplify -1 into -1 3.552 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.553 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.553 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1)) in N 3.553 * [taylor]: Taking taylor expansion of (pow (* N (- 1 (/ 1 N))) 1/3) in N 3.553 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1 (/ 1 N)))))) in N 3.553 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1 (/ 1 N))))) in N 3.553 * [taylor]: Taking taylor expansion of 1/3 in N 3.553 * [backup-simplify]: Simplify 1/3 into 1/3 3.553 * [taylor]: Taking taylor expansion of (log (* N (- 1 (/ 1 N)))) in N 3.553 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.553 * [taylor]: Taking taylor expansion of N in N 3.553 * [backup-simplify]: Simplify 0 into 0 3.553 * [backup-simplify]: Simplify 1 into 1 3.553 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.553 * [taylor]: Taking taylor expansion of 1 in N 3.553 * [backup-simplify]: Simplify 1 into 1 3.553 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.553 * [taylor]: Taking taylor expansion of N in N 3.553 * [backup-simplify]: Simplify 0 into 0 3.553 * [backup-simplify]: Simplify 1 into 1 3.553 * [backup-simplify]: Simplify (/ 1 1) into 1 3.554 * [backup-simplify]: Simplify (- 1) into -1 3.554 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.554 * [backup-simplify]: Simplify (* 0 -1) into 0 3.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.555 * [backup-simplify]: Simplify (- 0) into 0 3.555 * [backup-simplify]: Simplify (+ 1 0) into 1 3.555 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.556 * [backup-simplify]: Simplify (log -1) into (log -1) 3.556 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 3.557 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 3.557 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.557 * [taylor]: Taking taylor expansion of -1 in N 3.557 * [backup-simplify]: Simplify -1 into -1 3.558 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.558 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.560 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 3.561 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 3.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.561 * [backup-simplify]: Simplify (- 0) into 0 3.562 * [backup-simplify]: Simplify (+ 0 0) into 0 3.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.563 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 3.564 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (log -1))) into -1/3 3.566 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) 3.569 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* -1/3 (pow -1 1/3)) (cbrt -1))) into (- (* 1/3 (* (cbrt -1) (pow -1 1/3)))) 3.571 * [backup-simplify]: Simplify (- (* 1/3 (* (cbrt -1) (pow -1 1/3)))) into (- (* 1/3 (* (cbrt -1) (pow -1 1/3)))) 3.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.573 * [backup-simplify]: Simplify (- 0) into 0 3.573 * [backup-simplify]: Simplify (+ 0 0) into 0 3.574 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.575 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 3.576 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log -1)))) into -1/6 3.579 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow -1 1/3)) 3.583 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* -1/3 (pow -1 1/3)) 0) (* (* -1/9 (pow -1 1/3)) (cbrt -1)))) into (- (* 1/9 (* (cbrt -1) (pow -1 1/3)))) 3.585 * [backup-simplify]: Simplify (- (* 1/9 (* (cbrt -1) (pow -1 1/3)))) into (- (* 1/9 (* (cbrt -1) (pow -1 1/3)))) 3.590 * [backup-simplify]: Simplify (+ (* (- (* 1/9 (* (cbrt -1) (pow -1 1/3)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 1/3 (* (cbrt -1) (pow -1 1/3)))) (/ 1 (- N))) (* (cbrt -1) (pow -1 1/3)))) into (- (+ (* (cbrt -1) (pow -1 1/3)) (* 1/3 (* (/ (cbrt -1) N) (pow -1 1/3)))) (* 1/9 (* (/ (cbrt -1) (pow N 2)) (pow -1 1/3)))) 3.590 * * * [progress]: simplifying candidates 3.590 * * * * [progress]: [ 1 / 139 ] simplifiying candidate # 3.590 * * * * [progress]: [ 2 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 3 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 4 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 5 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 6 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 7 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 8 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 9 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 10 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 11 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 12 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 13 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 14 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 15 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 16 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 17 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 18 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 19 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 20 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 21 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 22 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 23 / 139 ] simplifiying candidate # 3.591 * * * * [progress]: [ 24 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 25 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 26 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 27 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 28 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 29 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 30 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 31 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 32 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 33 / 139 ] simplifiying candidate #real (real->posit16 (log (cbrt (/ (+ 1 N) N)))))))> 3.592 * * * * [progress]: [ 34 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 35 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 36 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 37 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 38 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 39 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 40 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 41 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 42 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 43 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 44 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 45 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 46 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 47 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 48 / 139 ] simplifiying candidate # 3.592 * * * * [progress]: [ 49 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 50 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 51 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 52 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 53 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 54 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 55 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 56 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 57 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 58 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 59 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 60 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 61 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 62 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 63 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 64 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 65 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 66 / 139 ] simplifiying candidate #real (real->posit16 (log (cbrt (/ (+ 1 N) N)))))) (log (cbrt (/ (+ 1 N) N)))))> 3.593 * * * * [progress]: [ 67 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 68 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 69 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 70 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 71 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 72 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 73 / 139 ] simplifiying candidate # 3.593 * * * * [progress]: [ 74 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 75 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 76 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 77 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 78 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 79 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 80 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 81 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 82 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 83 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 84 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 85 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 86 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 87 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 88 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 89 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 90 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 91 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 92 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 93 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 94 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 95 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 96 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 97 / 139 ] simplifiying candidate # 3.594 * * * * [progress]: [ 98 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 99 / 139 ] simplifiying candidate #real (real->posit16 (log (cbrt (/ (+ 1 N) N))))) (log (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N)))))> 3.595 * * * * [progress]: [ 100 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 101 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 102 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 103 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 104 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 105 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 106 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 107 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 108 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 109 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 110 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 111 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 112 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 113 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 114 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 115 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 116 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 117 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 118 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 119 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 120 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 121 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 122 / 139 ] simplifiying candidate # 3.595 * * * * [progress]: [ 123 / 139 ] simplifiying candidate # 3.596 * * * * [progress]: [ 124 / 139 ] simplifiying candidate # 3.596 * * * * [progress]: [ 125 / 139 ] simplifiying candidate # 3.596 * * * * [progress]: [ 126 / 139 ] simplifiying candidate # 3.596 * * * * [progress]: [ 127 / 139 ] simplifiying candidate #real (real->posit16 (cbrt (/ (+ 1 N) N)))))))> 3.596 * * * * [progress]: [ 128 / 139 ] simplifiying candidate # 3.596 * * * * [progress]: [ 129 / 139 ] simplifiying candidate # 3.596 * * * * [progress]: [ 130 / 139 ] simplifiying candidate # 3.596 * * * * [progress]: [ 131 / 139 ] simplifiying candidate # 3.596 * * * * [progress]: [ 132 / 139 ] simplifiying candidate # 3.596 * * * * [progress]: [ 133 / 139 ] simplifiying candidate # 3.596 * * * * [progress]: [ 134 / 139 ] simplifiying candidate # 3.596 * * * * [progress]: [ 135 / 139 ] simplifiying candidate # 3.596 * * * * [progress]: [ 136 / 139 ] simplifiying candidate # 3.596 * * * * [progress]: [ 137 / 139 ] simplifiying candidate # 3.596 * * * * [progress]: [ 138 / 139 ] simplifiying candidate # 3.596 * * * * [progress]: [ 139 / 139 ] simplifiying candidate # 3.598 * [simplify]: Simplifying: (expm1 (log (cbrt (/ (+ 1 N) N)))) (log1p (log (cbrt (/ (+ 1 N) N)))) (log (cbrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) (log (cbrt (cbrt (/ (+ 1 N) N)))) (log (cbrt (sqrt (/ (+ 1 N) N)))) (log (cbrt (sqrt (/ (+ 1 N) N)))) (log (cbrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ 1 N)) (cbrt N)))) (log (cbrt 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(sqrt (+ 1 N)) 1)) (cbrt (/ (sqrt (+ 1 N)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ 1 N) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ 1 N) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ 1 N) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ 1 N) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ 1 N) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ 1 N) N)) (cbrt 1) (cbrt (/ (+ 1 N) N)) (cbrt (+ 1 N)) (cbrt (/ 1 N)) (cbrt (+ 1 N)) (cbrt N) (* (cbrt (cbrt (/ (+ 1 N) N))) (cbrt (cbrt (/ (+ 1 N) N)))) (cbrt (cbrt (/ (+ 1 N) N))) (* (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N))) (sqrt (cbrt (/ (+ 1 N) N))) (sqrt (cbrt (/ (+ 1 N) N))) (real->posit16 (cbrt (/ (+ 1 N) N))) (- (+ (* 1/3 N) (log (pow N -1/3))) (* 1/6 (pow N 2))) (- (+ (* 1/9 (/ 1 (pow N 3))) (* 1/3 (/ 1 N))) (* 1/6 (/ 1 (pow N 2)))) (- (+ (log (* (cbrt -1) (pow -1 1/3))) (* 1/3 (/ 1 N))) (* 1/6 (/ 1 (pow N 2)))) (- (+ (* 1/3 N) (log (pow N -1/3))) (* 1/6 (pow N 2))) (- (+ (* 1/9 (/ 1 (pow N 3))) (* 1/3 (/ 1 N))) (* 1/6 (/ 1 (pow N 2)))) (- (+ (log (* (cbrt -1) (pow -1 1/3))) (* 1/3 (/ 1 N))) (* 1/6 (/ 1 (pow N 2)))) (- (+ (* 1/3 N) (log (pow N -1/3))) (* 1/6 (pow N 2))) (- (+ (* 1/9 (/ 1 (pow N 3))) (* 1/3 (/ 1 N))) (* 1/6 (/ 1 (pow N 2)))) (- (+ (log (* (cbrt -1) (pow -1 1/3))) (* 1/3 (/ 1 N))) (* 1/6 (/ 1 (pow N 2)))) (- (+ (* 1/3 (pow (pow N 2) 1/3)) (pow N -1/3)) (* 1/9 (pow (pow N 5) 1/3))) (- (+ (* 1/3 (/ 1 N)) 1) (* 1/9 (/ 1 (pow N 2)))) (- (+ (* (cbrt -1) (pow -1 1/3)) (* 1/3 (* (/ (cbrt -1) N) (pow -1 1/3)))) (* 1/9 (* (/ (cbrt -1) (pow N 2)) (pow -1 1/3)))) 3.599 * * [simplify]: iteration 0: 143 enodes 3.634 * * [simplify]: iteration 1: 260 enodes 3.729 * * [simplify]: iteration 2: 660 enodes 4.110 * * [simplify]: iteration 3: 1977 enodes 4.441 * * [simplify]: iteration 4: 2011 enodes 4.808 * * [simplify]: iteration complete: 2011 enodes 4.808 * * [simplify]: Extracting #0: cost 70 inf + 0 4.809 * * [simplify]: Extracting #1: cost 223 inf + 2 4.812 * * [simplify]: Extracting #2: cost 493 inf + 2645 4.819 * * [simplify]: Extracting #3: cost 401 inf + 24704 4.832 * * [simplify]: Extracting #4: cost 167 inf + 78600 4.856 * * [simplify]: Extracting #5: cost 44 inf + 117404 4.878 * * [simplify]: Extracting #6: cost 5 inf + 131756 4.905 * * [simplify]: Extracting #7: cost 0 inf + 133435 4.929 * [simplify]: Simplified to: (expm1 (log (cbrt (/ (+ N 1) N)))) (log1p (log (cbrt (/ (+ N 1) N)))) (log (cbrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))))) (log (cbrt (cbrt (/ (+ N 1) N)))) (log (cbrt (sqrt (/ (+ N 1) N)))) (log (cbrt (sqrt (/ (+ N 1) N)))) (log (cbrt (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1)) (cbrt N)))) (log (cbrt (/ (cbrt (+ N 1)) (/ (sqrt N) (cbrt (+ N 1)))))) (log (cbrt (/ (cbrt (+ N 1)) (sqrt N)))) (log (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (log (cbrt (/ (cbrt (+ N 1)) N))) (log (cbrt (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1)) (sqrt N)))) (log 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(/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1) (sqrt N)))) 0 (log (cbrt (/ (+ N 1) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1) (sqrt N)))) 0 (log (cbrt (/ (+ N 1) N))) 0 (log (cbrt (/ (+ N 1) N))) (log (cbrt (+ N 1))) (log (cbrt (/ 1 N))) (+ (log (cbrt (cbrt (/ (+ N 1) N)))) (log (cbrt (cbrt (/ (+ N 1) N))))) (log (cbrt (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ N 1) N)))) 0 (log (cbrt (/ (+ N 1) N))) (log (cbrt (+ N 1))) (log (cbrt N)) (log (/ (+ N 1) N)) (log (cbrt (/ (+ N 1) N))) (log (log (cbrt (/ (+ N 1) N)))) (cbrt (/ (+ N 1) N)) (* (cbrt (log (cbrt (/ (+ N 1) N)))) (cbrt (log (cbrt (/ (+ N 1) N))))) (cbrt (log (cbrt (/ (+ N 1) N)))) (* (log (cbrt (/ (+ N 1) N))) (* (log (cbrt (/ (+ N 1) N))) (log (cbrt (/ (+ N 1) N))))) (sqrt (log (cbrt (/ (+ N 1) N)))) (sqrt (log (cbrt (/ (+ N 1) N)))) (real->posit16 (log (cbrt (/ (+ N 1) N)))) (expm1 (log (cbrt (/ (+ N 1) N)))) (log1p (log (cbrt (/ (+ N 1) N)))) (log (cbrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))))) (log (cbrt (cbrt (/ (+ N 1) N)))) (log (cbrt (sqrt (/ (+ N 1) N)))) (log (cbrt (sqrt (/ (+ N 1) N)))) (log (cbrt (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1)) (cbrt N)))) (log (cbrt (/ (cbrt (+ N 1)) (/ (sqrt N) (cbrt (+ N 1)))))) (log (cbrt (/ (cbrt (+ N 1)) (sqrt N)))) (log (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (log (cbrt (/ (cbrt (+ N 1)) N))) (log (cbrt (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (cbrt (sqrt (+ N 1)))) (log (cbrt (/ (sqrt (+ N 1)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1) (sqrt N)))) 0 (log (cbrt (/ (+ N 1) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1) (sqrt N)))) 0 (log (cbrt (/ (+ N 1) N))) 0 (log (cbrt (/ (+ N 1) N))) (log (cbrt (+ N 1))) (log (cbrt (/ 1 N))) (+ (log (cbrt (cbrt (/ (+ N 1) N)))) (log (cbrt (cbrt (/ (+ N 1) N))))) (log (cbrt (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ N 1) N)))) 0 (log (cbrt (/ (+ N 1) N))) (log (cbrt (+ N 1))) (log (cbrt N)) (log (/ (+ N 1) N)) (log (cbrt (/ (+ N 1) N))) (log (log (cbrt (/ (+ N 1) N)))) (cbrt (/ (+ N 1) N)) (* (cbrt (log (cbrt (/ (+ N 1) N)))) (cbrt (log (cbrt (/ (+ N 1) N))))) (cbrt (log (cbrt (/ (+ N 1) N)))) (* (log (cbrt (/ (+ N 1) N))) (* (log (cbrt (/ (+ N 1) N))) (log (cbrt (/ (+ N 1) N))))) (sqrt (log (cbrt (/ (+ N 1) N)))) (sqrt (log (cbrt (/ (+ N 1) N)))) (real->posit16 (log (cbrt (/ (+ N 1) N)))) (expm1 (cbrt (/ (+ N 1) N))) (log1p (cbrt (/ (+ N 1) N))) (log (cbrt (/ (+ N 1) N))) (exp (cbrt (/ (+ N 1) N))) (cbrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (cbrt (cbrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))) (cbrt (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N)))) (cbrt (/ (cbrt (+ N 1)) (cbrt N))) (cbrt (/ (cbrt (+ N 1)) (/ (sqrt N) (cbrt (+ N 1))))) (cbrt (/ (cbrt (+ N 1)) (sqrt N))) (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (/ (cbrt (+ N 1)) N)) (cbrt (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1)) (cbrt N))) (cbrt (/ (sqrt (+ N 1)) (sqrt N))) (cbrt (/ (sqrt (+ N 1)) (sqrt N))) (cbrt (sqrt (+ N 1))) (cbrt (/ (sqrt (+ N 1)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1) (sqrt N))) 1 (cbrt (/ (+ N 1) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1) (sqrt N))) 1 (cbrt (/ (+ N 1) N)) 1 (cbrt (/ (+ N 1) N)) (cbrt (+ N 1)) (cbrt (/ 1 N)) (cbrt (+ N 1)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1) N))) (cbrt (cbrt (/ (+ N 1) N)))) (cbrt (cbrt (/ (+ N 1) N))) (/ (+ N 1) N) (sqrt (cbrt (/ (+ N 1) N))) (sqrt (cbrt (/ (+ N 1) N))) (real->posit16 (cbrt (/ (+ N 1) N))) (fma -1/6 (* N N) (fma N 1/3 (* (log N) -1/3))) (fma (/ 1 (* N N)) (- (/ 1/9 N) 1/6) (/ 1/3 N)) (+ (fma 1/3 (log -1) (fma 1/3 (log -1) (/ 1/3 N))) (/ -1/6 (* N N))) (fma -1/6 (* N N) (fma N 1/3 (* (log N) -1/3))) (fma (/ 1 (* N N)) (- (/ 1/9 N) 1/6) (/ 1/3 N)) (+ (fma 1/3 (log -1) (fma 1/3 (log -1) (/ 1/3 N))) (/ -1/6 (* N N))) (fma -1/6 (* N N) (fma N 1/3 (* (log N) -1/3))) (fma (/ 1 (* N N)) (- (/ 1/9 N) 1/6) (/ 1/3 N)) (+ (fma 1/3 (log -1) (fma 1/3 (log -1) (/ 1/3 N))) (/ -1/6 (* N N))) (fma -1/9 (cbrt (pow N 5)) (fma 1/3 (cbrt (* N N)) (pow N -1/3))) (- (+ (/ 1/3 N) 1) (/ 1/9 (* N N))) (fma -1/9 (/ (/ (* (cbrt -1) (cbrt -1)) N) N) (fma 1/3 (/ (* (cbrt -1) (cbrt -1)) N) (* (cbrt -1) (cbrt -1)))) 4.943 * * * [progress]: adding candidates to table 5.656 * * [progress]: iteration 4 / 4 5.656 * * * [progress]: picking best candidate 5.665 * * * * [pick]: Picked # 5.665 * * * [progress]: localizing error 5.708 * * * [progress]: generating rewritten candidates 5.708 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 5.715 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 5.726 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 5.733 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 5.741 * * * [progress]: generating series expansions 5.741 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 5.741 * [backup-simplify]: Simplify (log (cbrt (/ (+ 1 N) N))) into (log (pow (/ (+ N 1) N) 1/3)) 5.741 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in (N) around 0 5.741 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in N 5.741 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 5.741 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 5.741 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 5.741 * [taylor]: Taking taylor expansion of 1/3 in N 5.741 * [backup-simplify]: Simplify 1/3 into 1/3 5.741 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 5.741 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.741 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.742 * [taylor]: Taking taylor expansion of N in N 5.742 * [backup-simplify]: Simplify 0 into 0 5.742 * [backup-simplify]: Simplify 1 into 1 5.742 * [taylor]: Taking taylor expansion of 1 in N 5.742 * [backup-simplify]: Simplify 1 into 1 5.742 * [taylor]: Taking taylor expansion of N in N 5.742 * [backup-simplify]: Simplify 0 into 0 5.742 * [backup-simplify]: Simplify 1 into 1 5.742 * [backup-simplify]: Simplify (+ 0 1) into 1 5.743 * [backup-simplify]: Simplify (/ 1 1) into 1 5.743 * [backup-simplify]: Simplify (log 1) into 0 5.743 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.744 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.744 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.744 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 5.744 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in N 5.744 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 5.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 5.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 5.744 * [taylor]: Taking taylor expansion of 1/3 in N 5.744 * [backup-simplify]: Simplify 1/3 into 1/3 5.744 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 5.744 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.744 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.744 * [taylor]: Taking taylor expansion of N in N 5.744 * [backup-simplify]: Simplify 0 into 0 5.744 * [backup-simplify]: Simplify 1 into 1 5.744 * [taylor]: Taking taylor expansion of 1 in N 5.744 * [backup-simplify]: Simplify 1 into 1 5.744 * [taylor]: Taking taylor expansion of N in N 5.744 * [backup-simplify]: Simplify 0 into 0 5.744 * [backup-simplify]: Simplify 1 into 1 5.745 * [backup-simplify]: Simplify (+ 0 1) into 1 5.745 * [backup-simplify]: Simplify (/ 1 1) into 1 5.745 * [backup-simplify]: Simplify (log 1) into 0 5.746 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.746 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.746 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.746 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 5.746 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 5.746 * [backup-simplify]: Simplify (+ 1 0) into 1 5.747 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.748 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.749 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.749 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 5.750 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 5.750 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 N) 1/3))) 1)) (pow (pow N -1/3) 1)))) 1) into 1/3 5.750 * [backup-simplify]: Simplify 1/3 into 1/3 5.751 * [backup-simplify]: Simplify (+ 0 0) into 0 5.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.754 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.754 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.755 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 5.757 * [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)) 5.757 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 N) 1/3))) 2)) (pow (pow N -1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 N) 1/3))) 1)) (pow (pow N -1/3) 1)))) 2) into -1/6 5.757 * [backup-simplify]: Simplify -1/6 into -1/6 5.758 * [backup-simplify]: Simplify (+ (* -1/6 (pow N 2)) (+ (* 1/3 N) (log (pow N -1/3)))) into (- (+ (* 1/3 N) (log (pow N -1/3))) (* 1/6 (pow N 2))) 5.758 * [backup-simplify]: Simplify (log (cbrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (pow (* N (+ (/ 1 N) 1)) 1/3)) 5.758 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in (N) around 0 5.758 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in N 5.758 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 5.758 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 5.758 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 5.758 * [taylor]: Taking taylor expansion of 1/3 in N 5.758 * [backup-simplify]: Simplify 1/3 into 1/3 5.758 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 5.758 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.758 * [taylor]: Taking taylor expansion of N in N 5.758 * [backup-simplify]: Simplify 0 into 0 5.758 * [backup-simplify]: Simplify 1 into 1 5.758 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.758 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.758 * [taylor]: Taking taylor expansion of N in N 5.758 * [backup-simplify]: Simplify 0 into 0 5.758 * [backup-simplify]: Simplify 1 into 1 5.759 * [backup-simplify]: Simplify (/ 1 1) into 1 5.759 * [taylor]: Taking taylor expansion of 1 in N 5.759 * [backup-simplify]: Simplify 1 into 1 5.759 * [backup-simplify]: Simplify (+ 1 0) into 1 5.759 * [backup-simplify]: Simplify (* 0 1) into 0 5.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.760 * [backup-simplify]: Simplify (+ 0 1) into 1 5.761 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.761 * [backup-simplify]: Simplify (log 1) into 0 5.762 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.763 * [backup-simplify]: Simplify (+ 0 0) into 0 5.764 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.765 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.765 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.765 * [backup-simplify]: Simplify (exp 0) into 1 5.766 * [backup-simplify]: Simplify (log 1) into 0 5.766 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in N 5.766 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 5.766 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 5.766 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 5.766 * [taylor]: Taking taylor expansion of 1/3 in N 5.766 * [backup-simplify]: Simplify 1/3 into 1/3 5.766 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 5.766 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.766 * [taylor]: Taking taylor expansion of N in N 5.766 * [backup-simplify]: Simplify 0 into 0 5.766 * [backup-simplify]: Simplify 1 into 1 5.766 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.766 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.766 * [taylor]: Taking taylor expansion of N in N 5.766 * [backup-simplify]: Simplify 0 into 0 5.766 * [backup-simplify]: Simplify 1 into 1 5.766 * [backup-simplify]: Simplify (/ 1 1) into 1 5.766 * [taylor]: Taking taylor expansion of 1 in N 5.766 * [backup-simplify]: Simplify 1 into 1 5.766 * [backup-simplify]: Simplify (+ 1 0) into 1 5.767 * [backup-simplify]: Simplify (* 0 1) into 0 5.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.767 * [backup-simplify]: Simplify (+ 0 1) into 1 5.768 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.768 * [backup-simplify]: Simplify (log 1) into 0 5.768 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.769 * [backup-simplify]: Simplify (+ 0 0) into 0 5.770 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.770 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.771 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.771 * [backup-simplify]: Simplify (exp 0) into 1 5.771 * [backup-simplify]: Simplify (log 1) into 0 5.771 * [backup-simplify]: Simplify 0 into 0 5.772 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 5.773 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/3) 1)) (pow 1 1)))) 1) into 1/3 5.773 * [backup-simplify]: Simplify 1/3 into 1/3 5.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.774 * [backup-simplify]: Simplify (+ 0 0) into 0 5.774 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.776 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.776 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 5.777 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 5.779 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/3) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/9) 1)) (pow 1 1)))) 2) into -1/6 5.779 * [backup-simplify]: Simplify -1/6 into -1/6 5.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.780 * [backup-simplify]: Simplify (+ 0 0) into 0 5.780 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 5.783 * [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 5.784 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into 1/9 5.786 * [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 5.788 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/3) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/3) 1) (pow (* 2 -1/9) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 5/81) 1)) (pow 1 1)))) 6) into 1/9 5.789 * [backup-simplify]: Simplify 1/9 into 1/9 5.789 * [backup-simplify]: Simplify (+ (* 1/9 (pow (/ 1 N) 3)) (+ (* -1/6 (pow (/ 1 N) 2)) (* 1/3 (/ 1 N)))) into (- (+ (* 1/9 (/ 1 (pow N 3))) (* 1/3 (/ 1 N))) (* 1/6 (/ 1 (pow N 2)))) 5.789 * [backup-simplify]: Simplify (log (cbrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1))) 5.789 * [approximate]: Taking taylor expansion of (log (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1))) in (N) around 0 5.789 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1))) in N 5.789 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1)) in N 5.789 * [taylor]: Taking taylor expansion of (pow (* N (- 1 (/ 1 N))) 1/3) in N 5.789 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1 (/ 1 N)))))) in N 5.789 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1 (/ 1 N))))) in N 5.789 * [taylor]: Taking taylor expansion of 1/3 in N 5.789 * [backup-simplify]: Simplify 1/3 into 1/3 5.789 * [taylor]: Taking taylor expansion of (log (* N (- 1 (/ 1 N)))) in N 5.789 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.789 * [taylor]: Taking taylor expansion of N in N 5.789 * [backup-simplify]: Simplify 0 into 0 5.789 * [backup-simplify]: Simplify 1 into 1 5.789 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.789 * [taylor]: Taking taylor expansion of 1 in N 5.789 * [backup-simplify]: Simplify 1 into 1 5.789 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.789 * [taylor]: Taking taylor expansion of N in N 5.789 * [backup-simplify]: Simplify 0 into 0 5.789 * [backup-simplify]: Simplify 1 into 1 5.790 * [backup-simplify]: Simplify (/ 1 1) into 1 5.790 * [backup-simplify]: Simplify (- 1) into -1 5.790 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.790 * [backup-simplify]: Simplify (* 0 -1) into 0 5.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.791 * [backup-simplify]: Simplify (- 0) into 0 5.791 * [backup-simplify]: Simplify (+ 1 0) into 1 5.792 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.792 * [backup-simplify]: Simplify (log -1) into (log -1) 5.793 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.793 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.793 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.793 * [taylor]: Taking taylor expansion of -1 in N 5.794 * [backup-simplify]: Simplify -1 into -1 5.794 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.794 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.795 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 5.797 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow -1 1/3))) into (log (* (cbrt -1) (pow -1 1/3))) 5.797 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1))) in N 5.797 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1)) in N 5.797 * [taylor]: Taking taylor expansion of (pow (* N (- 1 (/ 1 N))) 1/3) in N 5.797 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1 (/ 1 N)))))) in N 5.797 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1 (/ 1 N))))) in N 5.797 * [taylor]: Taking taylor expansion of 1/3 in N 5.797 * [backup-simplify]: Simplify 1/3 into 1/3 5.797 * [taylor]: Taking taylor expansion of (log (* N (- 1 (/ 1 N)))) in N 5.797 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.797 * [taylor]: Taking taylor expansion of N in N 5.797 * [backup-simplify]: Simplify 0 into 0 5.797 * [backup-simplify]: Simplify 1 into 1 5.797 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.797 * [taylor]: Taking taylor expansion of 1 in N 5.797 * [backup-simplify]: Simplify 1 into 1 5.797 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.797 * [taylor]: Taking taylor expansion of N in N 5.797 * [backup-simplify]: Simplify 0 into 0 5.797 * [backup-simplify]: Simplify 1 into 1 5.797 * [backup-simplify]: Simplify (/ 1 1) into 1 5.797 * [backup-simplify]: Simplify (- 1) into -1 5.798 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.798 * [backup-simplify]: Simplify (* 0 -1) into 0 5.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.799 * [backup-simplify]: Simplify (- 0) into 0 5.800 * [backup-simplify]: Simplify (+ 1 0) into 1 5.800 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.801 * [backup-simplify]: Simplify (log -1) into (log -1) 5.801 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.803 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.803 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.803 * [taylor]: Taking taylor expansion of -1 in N 5.803 * [backup-simplify]: Simplify -1 into -1 5.803 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.804 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.805 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 5.807 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow -1 1/3))) into (log (* (cbrt -1) (pow -1 1/3))) 5.809 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow -1 1/3))) into (log (* (cbrt -1) (pow -1 1/3))) 5.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.811 * [backup-simplify]: Simplify (- 0) into 0 5.811 * [backup-simplify]: Simplify (+ 0 0) into 0 5.812 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.813 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 5.814 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (log -1))) into -1/3 5.817 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) 5.821 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* -1/3 (pow -1 1/3)) (cbrt -1))) into (- (* 1/3 (* (cbrt -1) (pow -1 1/3)))) 5.845 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/3 (* (cbrt -1) (pow -1 1/3))))) 1)) (pow (* (cbrt -1) (pow -1 1/3)) 1)))) 1) into -1/3 5.845 * [backup-simplify]: Simplify -1/3 into -1/3 5.846 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.848 * [backup-simplify]: Simplify (- 0) into 0 5.848 * [backup-simplify]: Simplify (+ 0 0) into 0 5.849 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.851 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 5.851 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log -1)))) into -1/6 5.854 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow -1 1/3)) 5.859 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* -1/3 (pow -1 1/3)) 0) (* (* -1/9 (pow -1 1/3)) (cbrt -1)))) into (- (* 1/9 (* (cbrt -1) (pow -1 1/3)))) 5.881 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/3 (* (cbrt -1) (pow -1 1/3))))) 2)) (pow (* (cbrt -1) (pow -1 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/9 (* (cbrt -1) (pow -1 1/3))))) 1)) (pow (* (cbrt -1) (pow -1 1/3)) 1)))) 2) into -1/6 5.881 * [backup-simplify]: Simplify -1/6 into -1/6 5.883 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 2)) (+ (* -1/3 (/ 1 (- N))) (log (* (cbrt -1) (pow -1 1/3))))) into (- (+ (log (* (cbrt -1) (pow -1 1/3))) (* 1/3 (/ 1 N))) (* 1/6 (/ 1 (pow N 2)))) 5.883 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 5.883 * [backup-simplify]: Simplify (log (cbrt (/ (+ 1 N) N))) into (log (pow (/ (+ N 1) N) 1/3)) 5.883 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in (N) around 0 5.883 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in N 5.883 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 5.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 5.883 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 5.883 * [taylor]: Taking taylor expansion of 1/3 in N 5.883 * [backup-simplify]: Simplify 1/3 into 1/3 5.883 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 5.883 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.883 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.883 * [taylor]: Taking taylor expansion of N in N 5.883 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify 1 into 1 5.883 * [taylor]: Taking taylor expansion of 1 in N 5.883 * [backup-simplify]: Simplify 1 into 1 5.883 * [taylor]: Taking taylor expansion of N in N 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 1 into 1 5.884 * [backup-simplify]: Simplify (+ 0 1) into 1 5.884 * [backup-simplify]: Simplify (/ 1 1) into 1 5.885 * [backup-simplify]: Simplify (log 1) into 0 5.885 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.885 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.885 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.885 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 5.885 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in N 5.885 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 5.885 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 5.885 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 5.885 * [taylor]: Taking taylor expansion of 1/3 in N 5.885 * [backup-simplify]: Simplify 1/3 into 1/3 5.885 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 5.885 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.885 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.886 * [taylor]: Taking taylor expansion of N in N 5.886 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify 1 into 1 5.886 * [taylor]: Taking taylor expansion of 1 in N 5.886 * [backup-simplify]: Simplify 1 into 1 5.886 * [taylor]: Taking taylor expansion of N in N 5.886 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify 1 into 1 5.886 * [backup-simplify]: Simplify (+ 0 1) into 1 5.886 * [backup-simplify]: Simplify (/ 1 1) into 1 5.887 * [backup-simplify]: Simplify (log 1) into 0 5.887 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.887 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.887 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.887 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 5.887 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 5.888 * [backup-simplify]: Simplify (+ 1 0) into 1 5.889 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.890 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.890 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.891 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 5.891 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 5.892 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 N) 1/3))) 1)) (pow (pow N -1/3) 1)))) 1) into 1/3 5.892 * [backup-simplify]: Simplify 1/3 into 1/3 5.892 * [backup-simplify]: Simplify (+ 0 0) into 0 5.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.895 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.896 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.896 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 5.898 * [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)) 5.898 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 N) 1/3))) 2)) (pow (pow N -1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 N) 1/3))) 1)) (pow (pow N -1/3) 1)))) 2) into -1/6 5.898 * [backup-simplify]: Simplify -1/6 into -1/6 5.899 * [backup-simplify]: Simplify (+ (* -1/6 (pow N 2)) (+ (* 1/3 N) (log (pow N -1/3)))) into (- (+ (* 1/3 N) (log (pow N -1/3))) (* 1/6 (pow N 2))) 5.899 * [backup-simplify]: Simplify (log (cbrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (pow (* N (+ (/ 1 N) 1)) 1/3)) 5.899 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in (N) around 0 5.899 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in N 5.899 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 5.899 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 5.899 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 5.899 * [taylor]: Taking taylor expansion of 1/3 in N 5.899 * [backup-simplify]: Simplify 1/3 into 1/3 5.899 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 5.899 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.899 * [taylor]: Taking taylor expansion of N in N 5.899 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify 1 into 1 5.899 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.899 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.899 * [taylor]: Taking taylor expansion of N in N 5.899 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify 1 into 1 5.900 * [backup-simplify]: Simplify (/ 1 1) into 1 5.900 * [taylor]: Taking taylor expansion of 1 in N 5.900 * [backup-simplify]: Simplify 1 into 1 5.900 * [backup-simplify]: Simplify (+ 1 0) into 1 5.901 * [backup-simplify]: Simplify (* 0 1) into 0 5.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.902 * [backup-simplify]: Simplify (+ 0 1) into 1 5.902 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.903 * [backup-simplify]: Simplify (log 1) into 0 5.903 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.904 * [backup-simplify]: Simplify (+ 0 0) into 0 5.905 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.907 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.907 * [backup-simplify]: Simplify (exp 0) into 1 5.907 * [backup-simplify]: Simplify (log 1) into 0 5.907 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in N 5.907 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 5.907 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 5.907 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 5.907 * [taylor]: Taking taylor expansion of 1/3 in N 5.907 * [backup-simplify]: Simplify 1/3 into 1/3 5.907 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 5.907 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.907 * [taylor]: Taking taylor expansion of N in N 5.907 * [backup-simplify]: Simplify 0 into 0 5.907 * [backup-simplify]: Simplify 1 into 1 5.907 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.908 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.908 * [taylor]: Taking taylor expansion of N in N 5.908 * [backup-simplify]: Simplify 0 into 0 5.908 * [backup-simplify]: Simplify 1 into 1 5.908 * [backup-simplify]: Simplify (/ 1 1) into 1 5.908 * [taylor]: Taking taylor expansion of 1 in N 5.908 * [backup-simplify]: Simplify 1 into 1 5.908 * [backup-simplify]: Simplify (+ 1 0) into 1 5.909 * [backup-simplify]: Simplify (* 0 1) into 0 5.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.910 * [backup-simplify]: Simplify (+ 0 1) into 1 5.910 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.911 * [backup-simplify]: Simplify (log 1) into 0 5.911 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.912 * [backup-simplify]: Simplify (+ 0 0) into 0 5.913 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.914 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.915 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.915 * [backup-simplify]: Simplify (exp 0) into 1 5.916 * [backup-simplify]: Simplify (log 1) into 0 5.916 * [backup-simplify]: Simplify 0 into 0 5.917 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 5.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/3) 1)) (pow 1 1)))) 1) into 1/3 5.919 * [backup-simplify]: Simplify 1/3 into 1/3 5.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.921 * [backup-simplify]: Simplify (+ 0 0) into 0 5.922 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.925 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.926 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 5.928 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 5.931 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/3) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/9) 1)) (pow 1 1)))) 2) into -1/6 5.931 * [backup-simplify]: Simplify -1/6 into -1/6 5.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.933 * [backup-simplify]: Simplify (+ 0 0) into 0 5.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 5.940 * [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 5.941 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into 1/9 5.952 * [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 5.958 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/3) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/3) 1) (pow (* 2 -1/9) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 5/81) 1)) (pow 1 1)))) 6) into 1/9 5.958 * [backup-simplify]: Simplify 1/9 into 1/9 5.959 * [backup-simplify]: Simplify (+ (* 1/9 (pow (/ 1 N) 3)) (+ (* -1/6 (pow (/ 1 N) 2)) (* 1/3 (/ 1 N)))) into (- (+ (* 1/9 (/ 1 (pow N 3))) (* 1/3 (/ 1 N))) (* 1/6 (/ 1 (pow N 2)))) 5.959 * [backup-simplify]: Simplify (log (cbrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1))) 5.959 * [approximate]: Taking taylor expansion of (log (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1))) in (N) around 0 5.959 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1))) in N 5.959 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1)) in N 5.959 * [taylor]: Taking taylor expansion of (pow (* N (- 1 (/ 1 N))) 1/3) in N 5.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1 (/ 1 N)))))) in N 5.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1 (/ 1 N))))) in N 5.960 * [taylor]: Taking taylor expansion of 1/3 in N 5.960 * [backup-simplify]: Simplify 1/3 into 1/3 5.960 * [taylor]: Taking taylor expansion of (log (* N (- 1 (/ 1 N)))) in N 5.960 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.960 * [taylor]: Taking taylor expansion of N in N 5.960 * [backup-simplify]: Simplify 0 into 0 5.960 * [backup-simplify]: Simplify 1 into 1 5.960 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.960 * [taylor]: Taking taylor expansion of 1 in N 5.960 * [backup-simplify]: Simplify 1 into 1 5.960 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.960 * [taylor]: Taking taylor expansion of N in N 5.960 * [backup-simplify]: Simplify 0 into 0 5.960 * [backup-simplify]: Simplify 1 into 1 5.960 * [backup-simplify]: Simplify (/ 1 1) into 1 5.961 * [backup-simplify]: Simplify (- 1) into -1 5.961 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.962 * [backup-simplify]: Simplify (* 0 -1) into 0 5.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.963 * [backup-simplify]: Simplify (- 0) into 0 5.963 * [backup-simplify]: Simplify (+ 1 0) into 1 5.964 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.964 * [backup-simplify]: Simplify (log -1) into (log -1) 5.965 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.967 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.967 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.967 * [taylor]: Taking taylor expansion of -1 in N 5.967 * [backup-simplify]: Simplify -1 into -1 5.968 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.968 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.970 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 5.972 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow -1 1/3))) into (log (* (cbrt -1) (pow -1 1/3))) 5.972 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1))) in N 5.972 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1)) in N 5.972 * [taylor]: Taking taylor expansion of (pow (* N (- 1 (/ 1 N))) 1/3) in N 5.973 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1 (/ 1 N)))))) in N 5.973 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1 (/ 1 N))))) in N 5.973 * [taylor]: Taking taylor expansion of 1/3 in N 5.973 * [backup-simplify]: Simplify 1/3 into 1/3 5.973 * [taylor]: Taking taylor expansion of (log (* N (- 1 (/ 1 N)))) in N 5.973 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.973 * [taylor]: Taking taylor expansion of N in N 5.973 * [backup-simplify]: Simplify 0 into 0 5.973 * [backup-simplify]: Simplify 1 into 1 5.973 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.973 * [taylor]: Taking taylor expansion of 1 in N 5.973 * [backup-simplify]: Simplify 1 into 1 5.973 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.973 * [taylor]: Taking taylor expansion of N in N 5.973 * [backup-simplify]: Simplify 0 into 0 5.973 * [backup-simplify]: Simplify 1 into 1 5.973 * [backup-simplify]: Simplify (/ 1 1) into 1 5.974 * [backup-simplify]: Simplify (- 1) into -1 5.974 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.975 * [backup-simplify]: Simplify (* 0 -1) into 0 5.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.976 * [backup-simplify]: Simplify (- 0) into 0 5.976 * [backup-simplify]: Simplify (+ 1 0) into 1 5.977 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.977 * [backup-simplify]: Simplify (log -1) into (log -1) 5.978 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.980 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.980 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.980 * [taylor]: Taking taylor expansion of -1 in N 5.980 * [backup-simplify]: Simplify -1 into -1 5.981 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.981 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.983 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 5.986 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow -1 1/3))) into (log (* (cbrt -1) (pow -1 1/3))) 5.988 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow -1 1/3))) into (log (* (cbrt -1) (pow -1 1/3))) 5.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.990 * [backup-simplify]: Simplify (- 0) into 0 5.990 * [backup-simplify]: Simplify (+ 0 0) into 0 5.991 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.993 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 5.994 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (log -1))) into -1/3 5.998 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) 6.002 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* -1/3 (pow -1 1/3)) (cbrt -1))) into (- (* 1/3 (* (cbrt -1) (pow -1 1/3)))) 6.018 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/3 (* (cbrt -1) (pow -1 1/3))))) 1)) (pow (* (cbrt -1) (pow -1 1/3)) 1)))) 1) into -1/3 6.018 * [backup-simplify]: Simplify -1/3 into -1/3 6.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.021 * [backup-simplify]: Simplify (- 0) into 0 6.021 * [backup-simplify]: Simplify (+ 0 0) into 0 6.022 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 6.025 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 6.026 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log -1)))) into -1/6 6.031 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow -1 1/3)) 6.038 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* -1/3 (pow -1 1/3)) 0) (* (* -1/9 (pow -1 1/3)) (cbrt -1)))) into (- (* 1/9 (* (cbrt -1) (pow -1 1/3)))) 6.078 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/3 (* (cbrt -1) (pow -1 1/3))))) 2)) (pow (* (cbrt -1) (pow -1 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/9 (* (cbrt -1) (pow -1 1/3))))) 1)) (pow (* (cbrt -1) (pow -1 1/3)) 1)))) 2) into -1/6 6.078 * [backup-simplify]: Simplify -1/6 into -1/6 6.080 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 2)) (+ (* -1/3 (/ 1 (- N))) (log (* (cbrt -1) (pow -1 1/3))))) into (- (+ (log (* (cbrt -1) (pow -1 1/3))) (* 1/3 (/ 1 N))) (* 1/6 (/ 1 (pow N 2)))) 6.080 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 6.080 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 6.081 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 6.081 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 6.081 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.081 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.081 * [taylor]: Taking taylor expansion of N in N 6.081 * [backup-simplify]: Simplify 0 into 0 6.081 * [backup-simplify]: Simplify 1 into 1 6.081 * [taylor]: Taking taylor expansion of 1 in N 6.081 * [backup-simplify]: Simplify 1 into 1 6.081 * [taylor]: Taking taylor expansion of N in N 6.081 * [backup-simplify]: Simplify 0 into 0 6.081 * [backup-simplify]: Simplify 1 into 1 6.081 * [backup-simplify]: Simplify (+ 0 1) into 1 6.082 * [backup-simplify]: Simplify (/ 1 1) into 1 6.082 * [backup-simplify]: Simplify (log 1) into 0 6.082 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 6.082 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.082 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.082 * [taylor]: Taking taylor expansion of N in N 6.082 * [backup-simplify]: Simplify 0 into 0 6.082 * [backup-simplify]: Simplify 1 into 1 6.082 * [taylor]: Taking taylor expansion of 1 in N 6.082 * [backup-simplify]: Simplify 1 into 1 6.082 * [taylor]: Taking taylor expansion of N in N 6.082 * [backup-simplify]: Simplify 0 into 0 6.082 * [backup-simplify]: Simplify 1 into 1 6.083 * [backup-simplify]: Simplify (+ 0 1) into 1 6.083 * [backup-simplify]: Simplify (/ 1 1) into 1 6.084 * [backup-simplify]: Simplify (log 1) into 0 6.084 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.084 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 6.085 * [backup-simplify]: Simplify (+ 1 0) into 1 6.086 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.087 * [backup-simplify]: Simplify 1 into 1 6.087 * [backup-simplify]: Simplify (+ 0 0) into 0 6.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.091 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.091 * [backup-simplify]: Simplify -1/2 into -1/2 6.091 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 6.091 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 6.092 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 6.092 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 6.092 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.092 * [taylor]: Taking taylor expansion of N in N 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 1 into 1 6.092 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.092 * [taylor]: Taking taylor expansion of N in N 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 1 into 1 6.092 * [backup-simplify]: Simplify (/ 1 1) into 1 6.092 * [taylor]: Taking taylor expansion of 1 in N 6.092 * [backup-simplify]: Simplify 1 into 1 6.093 * [backup-simplify]: Simplify (+ 1 0) into 1 6.093 * [backup-simplify]: Simplify (* 0 1) into 0 6.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.101 * [backup-simplify]: Simplify (+ 0 1) into 1 6.101 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.102 * [backup-simplify]: Simplify (log 1) into 0 6.102 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 6.102 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.102 * [taylor]: Taking taylor expansion of N in N 6.102 * [backup-simplify]: Simplify 0 into 0 6.102 * [backup-simplify]: Simplify 1 into 1 6.102 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.102 * [taylor]: Taking taylor expansion of N in N 6.102 * [backup-simplify]: Simplify 0 into 0 6.102 * [backup-simplify]: Simplify 1 into 1 6.102 * [backup-simplify]: Simplify (/ 1 1) into 1 6.102 * [taylor]: Taking taylor expansion of 1 in N 6.102 * [backup-simplify]: Simplify 1 into 1 6.102 * [backup-simplify]: Simplify (+ 1 0) into 1 6.103 * [backup-simplify]: Simplify (* 0 1) into 0 6.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.103 * [backup-simplify]: Simplify (+ 0 1) into 1 6.104 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.104 * [backup-simplify]: Simplify (log 1) into 0 6.104 * [backup-simplify]: Simplify 0 into 0 6.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.105 * [backup-simplify]: Simplify (+ 0 0) into 0 6.105 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.106 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.106 * [backup-simplify]: Simplify 1 into 1 6.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.107 * [backup-simplify]: Simplify (+ 0 0) into 0 6.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 6.109 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.109 * [backup-simplify]: Simplify -1/2 into -1/2 6.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.110 * [backup-simplify]: Simplify (+ 0 0) into 0 6.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 6.114 * [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 6.114 * [backup-simplify]: Simplify 1/3 into 1/3 6.114 * [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)))) 6.114 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 6.114 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 6.114 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 6.114 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.114 * [taylor]: Taking taylor expansion of -1 in N 6.114 * [backup-simplify]: Simplify -1 into -1 6.114 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.114 * [taylor]: Taking taylor expansion of N in N 6.114 * [backup-simplify]: Simplify 0 into 0 6.114 * [backup-simplify]: Simplify 1 into 1 6.114 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.114 * [taylor]: Taking taylor expansion of 1 in N 6.114 * [backup-simplify]: Simplify 1 into 1 6.115 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.115 * [taylor]: Taking taylor expansion of N in N 6.115 * [backup-simplify]: Simplify 0 into 0 6.115 * [backup-simplify]: Simplify 1 into 1 6.115 * [backup-simplify]: Simplify (/ 1 1) into 1 6.115 * [backup-simplify]: Simplify (- 1) into -1 6.116 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.116 * [backup-simplify]: Simplify (* 0 -1) into 0 6.116 * [backup-simplify]: Simplify (* -1 0) into 0 6.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.117 * [backup-simplify]: Simplify (- 0) into 0 6.117 * [backup-simplify]: Simplify (+ 1 0) into 1 6.118 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.118 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.118 * [backup-simplify]: Simplify (log 1) into 0 6.118 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 6.118 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.118 * [taylor]: Taking taylor expansion of -1 in N 6.118 * [backup-simplify]: Simplify -1 into -1 6.118 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.118 * [taylor]: Taking taylor expansion of N in N 6.118 * [backup-simplify]: Simplify 0 into 0 6.118 * [backup-simplify]: Simplify 1 into 1 6.118 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.118 * [taylor]: Taking taylor expansion of 1 in N 6.119 * [backup-simplify]: Simplify 1 into 1 6.119 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.119 * [taylor]: Taking taylor expansion of N in N 6.119 * [backup-simplify]: Simplify 0 into 0 6.119 * [backup-simplify]: Simplify 1 into 1 6.119 * [backup-simplify]: Simplify (/ 1 1) into 1 6.119 * [backup-simplify]: Simplify (- 1) into -1 6.119 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.120 * [backup-simplify]: Simplify (* 0 -1) into 0 6.120 * [backup-simplify]: Simplify (* -1 0) into 0 6.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.121 * [backup-simplify]: Simplify (- 0) into 0 6.121 * [backup-simplify]: Simplify (+ 1 0) into 1 6.121 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.122 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.122 * [backup-simplify]: Simplify (log 1) into 0 6.122 * [backup-simplify]: Simplify 0 into 0 6.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.123 * [backup-simplify]: Simplify (- 0) into 0 6.123 * [backup-simplify]: Simplify (+ 0 0) into 0 6.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.124 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 6.125 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 6.125 * [backup-simplify]: Simplify -1 into -1 6.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.126 * [backup-simplify]: Simplify (- 0) into 0 6.126 * [backup-simplify]: Simplify (+ 0 0) into 0 6.127 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 6.128 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 6.130 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.130 * [backup-simplify]: Simplify -1/2 into -1/2 6.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.131 * [backup-simplify]: Simplify (- 0) into 0 6.131 * [backup-simplify]: Simplify (+ 0 0) into 0 6.132 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 6.133 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 6.136 * [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 6.136 * [backup-simplify]: Simplify -1/3 into -1/3 6.136 * [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)))) 6.136 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 6.136 * [backup-simplify]: Simplify (cbrt (/ (+ 1 N) N)) into (pow (/ (+ N 1) N) 1/3) 6.136 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in (N) around 0 6.136 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 6.136 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 6.136 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 6.136 * [taylor]: Taking taylor expansion of 1/3 in N 6.136 * [backup-simplify]: Simplify 1/3 into 1/3 6.136 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 6.137 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.137 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.137 * [taylor]: Taking taylor expansion of N in N 6.137 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify 1 into 1 6.137 * [taylor]: Taking taylor expansion of 1 in N 6.137 * [backup-simplify]: Simplify 1 into 1 6.137 * [taylor]: Taking taylor expansion of N in N 6.137 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify 1 into 1 6.137 * [backup-simplify]: Simplify (+ 0 1) into 1 6.137 * [backup-simplify]: Simplify (/ 1 1) into 1 6.137 * [backup-simplify]: Simplify (log 1) into 0 6.138 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.138 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 6.138 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 6.138 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 6.138 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 6.138 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 6.138 * [taylor]: Taking taylor expansion of 1/3 in N 6.138 * [backup-simplify]: Simplify 1/3 into 1/3 6.138 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 6.138 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.138 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.138 * [taylor]: Taking taylor expansion of N in N 6.138 * [backup-simplify]: Simplify 0 into 0 6.138 * [backup-simplify]: Simplify 1 into 1 6.138 * [taylor]: Taking taylor expansion of 1 in N 6.138 * [backup-simplify]: Simplify 1 into 1 6.138 * [taylor]: Taking taylor expansion of N in N 6.139 * [backup-simplify]: Simplify 0 into 0 6.139 * [backup-simplify]: Simplify 1 into 1 6.139 * [backup-simplify]: Simplify (+ 0 1) into 1 6.139 * [backup-simplify]: Simplify (/ 1 1) into 1 6.140 * [backup-simplify]: Simplify (log 1) into 0 6.140 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.140 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 6.140 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 6.140 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 6.141 * [backup-simplify]: Simplify (+ 1 0) into 1 6.142 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.143 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.144 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.144 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 6.145 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 6.145 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) 6.145 * [backup-simplify]: Simplify (+ 0 0) into 0 6.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.149 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.150 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.150 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 6.152 * [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)) 6.152 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 6.153 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 N) 1/3)) (pow N 2)) (+ (* (* 1/3 (pow (/ 1 N) 1/3)) N) (pow N -1/3))) into (- (+ (* 1/3 (pow (pow N 2) 1/3)) (pow N -1/3)) (* 1/9 (pow (pow N 5) 1/3))) 6.153 * [backup-simplify]: Simplify (cbrt (/ (+ 1 (/ 1 N)) (/ 1 N))) into (pow (* N (+ (/ 1 N) 1)) 1/3) 6.153 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in (N) around 0 6.153 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 6.153 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 6.153 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 6.153 * [taylor]: Taking taylor expansion of 1/3 in N 6.153 * [backup-simplify]: Simplify 1/3 into 1/3 6.153 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 6.153 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.153 * [taylor]: Taking taylor expansion of N in N 6.153 * [backup-simplify]: Simplify 0 into 0 6.153 * [backup-simplify]: Simplify 1 into 1 6.153 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.153 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.153 * [taylor]: Taking taylor expansion of N in N 6.153 * [backup-simplify]: Simplify 0 into 0 6.153 * [backup-simplify]: Simplify 1 into 1 6.154 * [backup-simplify]: Simplify (/ 1 1) into 1 6.154 * [taylor]: Taking taylor expansion of 1 in N 6.154 * [backup-simplify]: Simplify 1 into 1 6.154 * [backup-simplify]: Simplify (+ 1 0) into 1 6.155 * [backup-simplify]: Simplify (* 0 1) into 0 6.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.156 * [backup-simplify]: Simplify (+ 0 1) into 1 6.157 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.157 * [backup-simplify]: Simplify (log 1) into 0 6.158 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.159 * [backup-simplify]: Simplify (+ 0 0) into 0 6.160 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.161 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.162 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 6.162 * [backup-simplify]: Simplify (exp 0) into 1 6.162 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 6.162 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 6.162 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 6.162 * [taylor]: Taking taylor expansion of 1/3 in N 6.162 * [backup-simplify]: Simplify 1/3 into 1/3 6.162 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 6.163 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.163 * [taylor]: Taking taylor expansion of N in N 6.163 * [backup-simplify]: Simplify 0 into 0 6.163 * [backup-simplify]: Simplify 1 into 1 6.163 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.163 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.163 * [taylor]: Taking taylor expansion of N in N 6.163 * [backup-simplify]: Simplify 0 into 0 6.163 * [backup-simplify]: Simplify 1 into 1 6.163 * [backup-simplify]: Simplify (/ 1 1) into 1 6.163 * [taylor]: Taking taylor expansion of 1 in N 6.163 * [backup-simplify]: Simplify 1 into 1 6.164 * [backup-simplify]: Simplify (+ 1 0) into 1 6.164 * [backup-simplify]: Simplify (* 0 1) into 0 6.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.165 * [backup-simplify]: Simplify (+ 0 1) into 1 6.166 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.166 * [backup-simplify]: Simplify (log 1) into 0 6.166 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.167 * [backup-simplify]: Simplify (+ 0 0) into 0 6.168 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.169 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 6.169 * [backup-simplify]: Simplify (exp 0) into 1 6.169 * [backup-simplify]: Simplify 1 into 1 6.169 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 6.169 * [backup-simplify]: Simplify 1/3 into 1/3 6.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.170 * [backup-simplify]: Simplify (+ 0 0) into 0 6.171 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 6.172 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.173 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 6.174 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 6.174 * [backup-simplify]: Simplify -1/9 into -1/9 6.174 * [backup-simplify]: Simplify (+ (* -1/9 (pow (/ 1 N) 2)) (+ (* 1/3 (/ 1 N)) 1)) into (- (+ (* 1/3 (/ 1 N)) 1) (* 1/9 (/ 1 (pow N 2)))) 6.174 * [backup-simplify]: Simplify (cbrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1)) 6.174 * [approximate]: Taking taylor expansion of (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1)) in (N) around 0 6.174 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1)) in N 6.174 * [taylor]: Taking taylor expansion of (pow (* N (- 1 (/ 1 N))) 1/3) in N 6.175 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1 (/ 1 N)))))) in N 6.175 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1 (/ 1 N))))) in N 6.175 * [taylor]: Taking taylor expansion of 1/3 in N 6.175 * [backup-simplify]: Simplify 1/3 into 1/3 6.175 * [taylor]: Taking taylor expansion of (log (* N (- 1 (/ 1 N)))) in N 6.175 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.175 * [taylor]: Taking taylor expansion of N in N 6.175 * [backup-simplify]: Simplify 0 into 0 6.175 * [backup-simplify]: Simplify 1 into 1 6.175 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.175 * [taylor]: Taking taylor expansion of 1 in N 6.175 * [backup-simplify]: Simplify 1 into 1 6.175 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.175 * [taylor]: Taking taylor expansion of N in N 6.175 * [backup-simplify]: Simplify 0 into 0 6.175 * [backup-simplify]: Simplify 1 into 1 6.175 * [backup-simplify]: Simplify (/ 1 1) into 1 6.175 * [backup-simplify]: Simplify (- 1) into -1 6.176 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.176 * [backup-simplify]: Simplify (* 0 -1) into 0 6.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.176 * [backup-simplify]: Simplify (- 0) into 0 6.177 * [backup-simplify]: Simplify (+ 1 0) into 1 6.177 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.178 * [backup-simplify]: Simplify (log -1) into (log -1) 6.178 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 6.179 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 6.179 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.179 * [taylor]: Taking taylor expansion of -1 in N 6.179 * [backup-simplify]: Simplify -1 into -1 6.179 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.180 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.180 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1 (/ 1 N))) 1/3) (cbrt -1)) in N 6.180 * [taylor]: Taking taylor expansion of (pow (* N (- 1 (/ 1 N))) 1/3) in N 6.180 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1 (/ 1 N)))))) in N 6.180 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1 (/ 1 N))))) in N 6.180 * [taylor]: Taking taylor expansion of 1/3 in N 6.180 * [backup-simplify]: Simplify 1/3 into 1/3 6.180 * [taylor]: Taking taylor expansion of (log (* N (- 1 (/ 1 N)))) in N 6.180 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.180 * [taylor]: Taking taylor expansion of N in N 6.180 * [backup-simplify]: Simplify 0 into 0 6.180 * [backup-simplify]: Simplify 1 into 1 6.180 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.180 * [taylor]: Taking taylor expansion of 1 in N 6.180 * [backup-simplify]: Simplify 1 into 1 6.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.180 * [taylor]: Taking taylor expansion of N in N 6.180 * [backup-simplify]: Simplify 0 into 0 6.180 * [backup-simplify]: Simplify 1 into 1 6.180 * [backup-simplify]: Simplify (/ 1 1) into 1 6.181 * [backup-simplify]: Simplify (- 1) into -1 6.181 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.181 * [backup-simplify]: Simplify (* 0 -1) into 0 6.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.182 * [backup-simplify]: Simplify (- 0) into 0 6.182 * [backup-simplify]: Simplify (+ 1 0) into 1 6.182 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.183 * [backup-simplify]: Simplify (log -1) into (log -1) 6.183 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 6.184 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 6.184 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.184 * [taylor]: Taking taylor expansion of -1 in N 6.184 * [backup-simplify]: Simplify -1 into -1 6.185 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.185 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.186 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 6.187 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 6.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.188 * [backup-simplify]: Simplify (- 0) into 0 6.188 * [backup-simplify]: Simplify (+ 0 0) into 0 6.189 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 6.190 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (log -1))) into -1/3 6.192 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) 6.195 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* -1/3 (pow -1 1/3)) (cbrt -1))) into (- (* 1/3 (* (cbrt -1) (pow -1 1/3)))) 6.197 * [backup-simplify]: Simplify (- (* 1/3 (* (cbrt -1) (pow -1 1/3)))) into (- (* 1/3 (* (cbrt -1) (pow -1 1/3)))) 6.198 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.199 * [backup-simplify]: Simplify (- 0) into 0 6.199 * [backup-simplify]: Simplify (+ 0 0) into 0 6.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 6.208 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 6.209 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log -1)))) into -1/6 6.213 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow -1 1/3)) 6.217 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* -1/3 (pow -1 1/3)) 0) (* (* -1/9 (pow -1 1/3)) (cbrt -1)))) into (- (* 1/9 (* (cbrt -1) (pow -1 1/3)))) 6.220 * [backup-simplify]: Simplify (- (* 1/9 (* (cbrt -1) (pow -1 1/3)))) into (- (* 1/9 (* (cbrt -1) (pow -1 1/3)))) 6.227 * [backup-simplify]: Simplify (+ (* (- (* 1/9 (* (cbrt -1) (pow -1 1/3)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 1/3 (* (cbrt -1) (pow -1 1/3)))) (/ 1 (- N))) (* (cbrt -1) (pow -1 1/3)))) into (- (+ (* (cbrt -1) (pow -1 1/3)) (* 1/3 (* (/ (cbrt -1) N) (pow -1 1/3)))) (* 1/9 (* (/ (cbrt -1) (pow N 2)) (pow -1 1/3)))) 6.227 * * * [progress]: simplifying candidates 6.227 * * * * [progress]: [ 1 / 136 ] simplifiying candidate # 6.227 * * * * [progress]: [ 2 / 136 ] simplifiying candidate # 6.227 * * * * [progress]: [ 3 / 136 ] simplifiying candidate # 6.227 * * * * [progress]: [ 4 / 136 ] simplifiying candidate # 6.227 * * * * [progress]: [ 5 / 136 ] simplifiying candidate # 6.227 * * * * [progress]: [ 6 / 136 ] simplifiying candidate # 6.227 * * * * [progress]: [ 7 / 136 ] simplifiying candidate # 6.227 * * * * [progress]: [ 8 / 136 ] simplifiying candidate # 6.227 * * * * [progress]: [ 9 / 136 ] simplifiying candidate # 6.227 * * * * [progress]: [ 10 / 136 ] simplifiying candidate # 6.227 * * * * [progress]: [ 11 / 136 ] simplifiying candidate # 6.227 * * * * [progress]: [ 12 / 136 ] simplifiying candidate # 6.228 * * * * [progress]: [ 13 / 136 ] simplifiying candidate # 6.228 * * * * [progress]: [ 14 / 136 ] simplifiying candidate # 6.228 * * * * [progress]: [ 15 / 136 ] simplifiying candidate # 6.228 * * * * [progress]: 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6.228 * * * * [progress]: [ 32 / 136 ] simplifiying candidate # 6.228 * * * * [progress]: [ 33 / 136 ] simplifiying candidate #real (real->posit16 (log (cbrt (/ (+ 1 N) N)))))) (* 1/3 (log (/ (+ 1 N) N)))))> 6.229 * * * * [progress]: [ 34 / 136 ] simplifiying candidate # 6.229 * * * * [progress]: [ 35 / 136 ] simplifiying candidate # 6.229 * * * * [progress]: [ 36 / 136 ] simplifiying candidate # 6.229 * * * * [progress]: [ 37 / 136 ] simplifiying candidate # 6.229 * * * * [progress]: [ 38 / 136 ] simplifiying candidate # 6.229 * * * * [progress]: [ 39 / 136 ] simplifiying candidate # 6.229 * * * * [progress]: [ 40 / 136 ] simplifiying candidate # 6.229 * * * * [progress]: [ 41 / 136 ] simplifiying candidate # 6.229 * * * * [progress]: [ 42 / 136 ] simplifiying candidate # 6.229 * * * * [progress]: [ 43 / 136 ] simplifiying candidate # 6.229 * * * * [progress]: [ 44 / 136 ] simplifiying candidate # 6.229 * * * * [progress]: [ 45 / 136 ] simplifiying candidate # 6.229 * * * * [progress]: [ 46 / 136 ] simplifiying candidate # 6.229 * * * * [progress]: [ 47 / 136 ] simplifiying candidate # 6.229 * * * * [progress]: [ 48 / 136 ] simplifiying candidate # 6.229 * * * * [progress]: [ 49 / 136 ] simplifiying candidate # 6.229 * * * * [progress]: [ 50 / 136 ] simplifiying candidate # 6.229 * * * * [progress]: [ 51 / 136 ] simplifiying candidate # 6.229 * * * * [progress]: [ 52 / 136 ] simplifiying candidate # 6.229 * * * * [progress]: [ 53 / 136 ] simplifiying candidate # 6.229 * * * * [progress]: [ 54 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 55 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 56 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 57 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 58 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 59 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 60 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 61 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 62 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 63 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 64 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 65 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 66 / 136 ] simplifiying candidate #real (real->posit16 (log (cbrt (/ (+ 1 N) N))))) (log (cbrt (/ (+ 1 N) N)))) (* 1/3 (log (/ (+ 1 N) N)))))> 6.230 * * * * [progress]: [ 67 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 68 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 69 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 70 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 71 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 72 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 73 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 74 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 75 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 76 / 136 ] simplifiying candidate # 6.230 * * * * [progress]: [ 77 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 78 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 79 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 80 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 81 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 82 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 83 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 84 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 85 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 86 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 87 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 88 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 89 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 90 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 91 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 92 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 93 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 94 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 95 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 96 / 136 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))))> 6.231 * * * * [progress]: [ 97 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 98 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 99 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 100 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 101 / 136 ] simplifiying candidate # 6.231 * * * * [progress]: [ 102 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 103 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 104 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 105 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 106 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 107 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 108 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 109 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 110 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 111 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 112 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 113 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 114 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 115 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 116 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 117 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 118 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 119 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 120 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 121 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 122 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 123 / 136 ] simplifiying candidate # 6.232 * * * * [progress]: [ 124 / 136 ] simplifiying candidate #real (real->posit16 (cbrt (/ (+ 1 N) N)))))) (* 1/3 (log (/ (+ 1 N) N)))))> 6.233 * * * * [progress]: [ 125 / 136 ] simplifiying candidate # 6.233 * * * * [progress]: [ 126 / 136 ] simplifiying candidate # 6.233 * * * * [progress]: [ 127 / 136 ] simplifiying candidate # 6.233 * * * * [progress]: [ 128 / 136 ] simplifiying candidate # 6.233 * * * * [progress]: [ 129 / 136 ] simplifiying candidate # 6.233 * * * * [progress]: [ 130 / 136 ] simplifiying candidate # 6.233 * * * * [progress]: [ 131 / 136 ] simplifiying candidate # 6.233 * * * * [progress]: [ 132 / 136 ] simplifiying candidate # 6.233 * * * * [progress]: [ 133 / 136 ] simplifiying candidate # 6.233 * * * * [progress]: [ 134 / 136 ] simplifiying candidate # 6.233 * * * * [progress]: [ 135 / 136 ] simplifiying candidate # 6.233 * * * * [progress]: [ 136 / 136 ] simplifiying candidate # 6.234 * [simplify]: Simplifying: (expm1 (log (cbrt (/ (+ 1 N) N)))) (log1p (log (cbrt (/ (+ 1 N) N)))) (log (cbrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) (log (cbrt (cbrt (/ (+ 1 N) N)))) (log (cbrt (sqrt (/ (+ 1 N) N)))) (log (cbrt (sqrt (/ (+ 1 N) N)))) (log (cbrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ 1 N)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)))) (log (cbrt (/ (cbrt (+ 1 N)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1))) (log (cbrt (/ (cbrt (+ 1 N)) N))) (log (cbrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ 1 N)) (cbrt N)))) (log (cbrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (cbrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (cbrt (/ (sqrt (+ 1 N)) 1))) (log (cbrt (/ (sqrt (+ 1 N)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ 1 N) (cbrt N)))) (log (cbrt (/ 1 (sqrt 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1 (pow N 2)))) (- 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)))) (- (+ (* 1/3 (pow (pow N 2) 1/3)) (pow N -1/3)) (* 1/9 (pow (pow N 5) 1/3))) (- (+ (* 1/3 (/ 1 N)) 1) (* 1/9 (/ 1 (pow N 2)))) (- (+ (* (cbrt -1) (pow -1 1/3)) (* 1/3 (* (/ (cbrt -1) N) (pow -1 1/3)))) (* 1/9 (* (/ (cbrt -1) (pow N 2)) (pow -1 1/3)))) 6.236 * * [simplify]: iteration 0: 182 enodes 6.278 * * [simplify]: iteration 1: 342 enodes 6.432 * * [simplify]: iteration 2: 832 enodes 6.656 * * [simplify]: iteration 3: 2000 enodes 7.021 * * [simplify]: iteration complete: 2000 enodes 7.022 * * [simplify]: Extracting #0: cost 100 inf + 0 7.023 * * [simplify]: Extracting #1: cost 329 inf + 2 7.027 * * [simplify]: Extracting #2: cost 644 inf + 1543 7.039 * * [simplify]: Extracting #3: cost 425 inf + 36660 7.062 * * [simplify]: Extracting #4: cost 220 inf + 83662 7.086 * * [simplify]: Extracting #5: cost 77 inf + 122231 7.110 * * [simplify]: Extracting #6: cost 28 inf + 138178 7.150 * * [simplify]: Extracting #7: cost 4 inf + 145285 7.189 * * [simplify]: Extracting #8: cost 0 inf + 146296 7.214 * [simplify]: Simplified to: (expm1 (log (cbrt (/ (+ N 1) N)))) (log1p (log (cbrt (/ (+ N 1) N)))) (log (cbrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))))) (log (cbrt (cbrt (/ (+ N 1) N)))) (log (cbrt (sqrt (/ (+ N 1) N)))) (log (cbrt (sqrt (/ (+ N 1) N)))) (log (cbrt (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1)) (sqrt N)))) (log (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (log (cbrt (/ (cbrt (+ N 1)) N))) (log (cbrt (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (cbrt (sqrt (+ N 1)))) (log (cbrt (/ (sqrt (+ N 1)) N))) (log (cbrt (/ (/ 1 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(fma -1/9 (* (/ (cbrt -1) N) (/ (cbrt -1) N)) (* (cbrt -1) (fma 1/3 (/ (cbrt -1) N) (cbrt -1)))) 7.229 * * * [progress]: adding candidates to table 7.975 * [progress]: [Phase 3 of 3] Extracting. 7.975 * * [regime]: Finding splitpoints for: (# # #) 7.976 * * * [regime-changes]: Trying 1 branch expressions: (N) 7.976 * * * * [regimes]: Trying to branch on N from (# # #) 8.000 * * * [regime]: Found split indices: #