23.486 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.079 * * * [progress]: [2/2] Setting up program. 0.081 * [progress]: [Phase 2 of 3] Improving. 0.081 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.082 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.082 * * [simplify]: iteration 1: (6 enodes) 0.084 * * [simplify]: iteration 2: (9 enodes) 0.086 * * [simplify]: iteration 3: (11 enodes) 0.088 * * [simplify]: Extracting #0: cost 1 inf + 0 0.088 * * [simplify]: Extracting #1: cost 4 inf + 0 0.088 * * [simplify]: Extracting #2: cost 6 inf + 0 0.088 * * [simplify]: Extracting #3: cost 6 inf + 1 0.089 * * [simplify]: Extracting #4: cost 0 inf + 518 0.089 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.098 * * [progress]: iteration 1 / 4 0.098 * * * [progress]: picking best candidate 0.102 * * * * [pick]: Picked # 0.102 * * * [progress]: localizing error 0.140 * * * [progress]: generating rewritten candidates 0.140 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.157 * * * [progress]: generating series expansions 0.157 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.161 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.161 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.162 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.162 * [taylor]: Taking taylor expansion of (log1p N) in N 0.164 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.164 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.164 * [taylor]: Taking taylor expansion of 1 in N 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [taylor]: Taking taylor expansion of N in N 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (+ 1 0) into 1 0.166 * [backup-simplify]: Simplify (log 1) into 0 0.166 * [taylor]: Taking taylor expansion of (log 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 (log 1) into 0 0.166 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.166 * [taylor]: Taking taylor expansion of (log1p N) in N 0.166 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.166 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.166 * [taylor]: Taking taylor expansion of 1 in N 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of N in N 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (+ 1 0) into 1 0.167 * [backup-simplify]: Simplify (log 1) into 0 0.167 * [taylor]: Taking taylor expansion of (log 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 0.168 * [backup-simplify]: Simplify (log 1) into 0 0.171 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.171 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.171 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.171 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.172 * [backup-simplify]: Simplify (+ 0 1) into 1 0.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.175 * [backup-simplify]: Simplify (- 0) into 0 0.175 * [backup-simplify]: Simplify (+ 1 0) into 1 0.175 * [backup-simplify]: Simplify 1 into 1 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 0.183 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.183 * [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 (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.186 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 0.186 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 0.186 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.186 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.186 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.186 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.186 * [taylor]: Taking taylor expansion of 1 in N 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [backup-simplify]: Simplify (+ 0 1) into 1 0.188 * [backup-simplify]: Simplify (log 1) into 0 0.188 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.188 * [taylor]: Taking taylor expansion of N in N 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [backup-simplify]: Simplify (log 1) into 0 0.189 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.189 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.189 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.189 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.189 * [taylor]: Taking taylor expansion of 1 in N 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (/ 1 1) into 1 0.190 * [backup-simplify]: Simplify (+ 0 1) into 1 0.191 * [backup-simplify]: Simplify (log 1) into 0 0.191 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.191 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.191 * [taylor]: Taking taylor expansion of N in N 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (/ 1 1) into 1 0.192 * [backup-simplify]: Simplify (log 1) into 0 0.193 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.193 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.193 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.193 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ 1 0) into 1 0.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.200 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ 1 0) into 1 0.200 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.210 * [backup-simplify]: Simplify (- 0) into 0 0.210 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.210 * [backup-simplify]: Simplify -1/2 into -1/2 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [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 0.223 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.224 * [backup-simplify]: Simplify 1/3 into 1/3 0.224 * [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)))) 0.225 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.225 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.225 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.225 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.225 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.225 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.225 * [taylor]: Taking taylor expansion of 1 in N 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.225 * [taylor]: Taking taylor expansion of -1 in N 0.225 * [backup-simplify]: Simplify -1 into -1 0.225 * [taylor]: Taking taylor expansion of N in N 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (/ -1 1) into -1 0.226 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.227 * [backup-simplify]: Simplify (log -1) into (log -1) 0.227 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.227 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.227 * [taylor]: Taking taylor expansion of -1 in N 0.227 * [backup-simplify]: Simplify -1 into -1 0.227 * [taylor]: Taking taylor expansion of N in N 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ -1 1) into -1 0.228 * [backup-simplify]: Simplify (log -1) into (log -1) 0.228 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.228 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.228 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.228 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.228 * [taylor]: Taking taylor expansion of 1 in N 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.228 * [taylor]: Taking taylor expansion of -1 in N 0.228 * [backup-simplify]: Simplify -1 into -1 0.228 * [taylor]: Taking taylor expansion of N in N 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ -1 1) into -1 0.229 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.229 * [backup-simplify]: Simplify (log -1) into (log -1) 0.229 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.229 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.229 * [taylor]: Taking taylor expansion of -1 in N 0.229 * [backup-simplify]: Simplify -1 into -1 0.229 * [taylor]: Taking taylor expansion of N in N 0.229 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (/ -1 1) into -1 0.230 * [backup-simplify]: Simplify (log -1) into (log -1) 0.231 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.232 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.232 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.233 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ 1 0) into 1 0.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.240 * [backup-simplify]: Simplify (+ -1 0) into -1 0.240 * [backup-simplify]: Simplify -1 into -1 0.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.249 * [backup-simplify]: Simplify -1/2 into -1/2 0.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [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 0.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.263 * [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 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.264 * [backup-simplify]: Simplify -1/3 into -1/3 0.264 * [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)))) 0.264 * * * [progress]: simplifying candidates 0.264 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 0.264 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 0.265 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 0.265 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 0.265 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 0.265 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 0.265 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 0.265 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 0.265 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 0.265 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 0.265 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 0.265 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 0.265 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 0.265 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 0.265 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 0.265 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 0.265 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 0.265 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 0.266 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 0.266 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 0.266 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 0.266 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 0.266 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 0.266 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 0.266 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 0.266 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 0.266 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 0.266 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 0.266 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 0.266 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 0.266 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 0.266 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 0.266 * * * * [progress]: [ 33 / 40 ] simplifiying candidate # 0.266 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 0.266 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 0.266 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 0.266 * * * * [progress]: [ 37 / 40 ] simplifiying candidate #real (real->posit16 (- (log1p N) (log N)))))> 0.267 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 0.267 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 0.267 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 0.268 * [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)))) 0.269 * * [simplify]: iteration 1: (83 enodes) 0.311 * * [simplify]: iteration 2: (184 enodes) 0.379 * * [simplify]: iteration 3: (372 enodes) 0.609 * * [simplify]: iteration 4: (962 enodes) 1.902 * * [simplify]: Extracting #0: cost 24 inf + 0 1.904 * * [simplify]: Extracting #1: cost 192 inf + 1 1.908 * * [simplify]: Extracting #2: cost 477 inf + 3698 1.925 * * [simplify]: Extracting #3: cost 347 inf + 51295 1.946 * * [simplify]: Extracting #4: cost 90 inf + 137947 1.985 * * [simplify]: Extracting #5: cost 3 inf + 179535 2.008 * * [simplify]: Extracting #6: cost 0 inf + 179870 2.052 * [simplify]: Simplified to: (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p 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 (log N) (+ (log N) (log1p N)) (* (log1p 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))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) 2.055 * * * [progress]: adding candidates to table 2.345 * * [progress]: iteration 2 / 4 2.345 * * * [progress]: picking best candidate 2.351 * * * * [pick]: Picked # 2.351 * * * [progress]: localizing error 2.382 * * * [progress]: generating rewritten candidates 2.382 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.400 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.422 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.466 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.480 * * * [progress]: generating series expansions 2.480 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.480 * [backup-simplify]: Simplify (- (* (log1p N) (log1p N)) (* (log N) (log N))) into (- (pow (log1p N) 2) (pow (log N) 2)) 2.480 * [approximate]: Taking taylor expansion of (- (pow (log1p N) 2) (pow (log N) 2)) in (N) around 0 2.480 * [taylor]: Taking taylor expansion of (- (pow (log1p N) 2) (pow (log N) 2)) in N 2.480 * [taylor]: Taking taylor expansion of (pow (log1p N) 2) in N 2.480 * [taylor]: Taking taylor expansion of (log1p N) in N 2.481 * [taylor]: Rewrote expression to (log (+ 1 N)) 2.481 * [taylor]: Taking taylor expansion of (+ 1 N) in N 2.481 * [taylor]: Taking taylor expansion of 1 in N 2.481 * [backup-simplify]: Simplify 1 into 1 2.481 * [taylor]: Taking taylor expansion of N in N 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify 1 into 1 2.481 * [backup-simplify]: Simplify (+ 1 0) into 1 2.482 * [backup-simplify]: Simplify (log 1) into 0 2.482 * [backup-simplify]: Simplify (+ 0 1) into 1 2.483 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.484 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 2.484 * [taylor]: Taking taylor expansion of (log N) in N 2.484 * [taylor]: Taking taylor expansion of N in N 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify 1 into 1 2.484 * [backup-simplify]: Simplify (log 1) into 0 2.485 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.485 * [taylor]: Taking taylor expansion of (- (pow (log1p N) 2) (pow (log N) 2)) in N 2.485 * [taylor]: Taking taylor expansion of (pow (log1p N) 2) in N 2.485 * [taylor]: Taking taylor expansion of (log1p N) in N 2.485 * [taylor]: Rewrote expression to (log (+ 1 N)) 2.485 * [taylor]: Taking taylor expansion of (+ 1 N) in N 2.485 * [taylor]: Taking taylor expansion of 1 in N 2.485 * [backup-simplify]: Simplify 1 into 1 2.485 * [taylor]: Taking taylor expansion of N in N 2.485 * [backup-simplify]: Simplify 0 into 0 2.485 * [backup-simplify]: Simplify 1 into 1 2.485 * [backup-simplify]: Simplify (+ 1 0) into 1 2.486 * [backup-simplify]: Simplify (log 1) into 0 2.486 * [backup-simplify]: Simplify (+ 0 1) into 1 2.487 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.487 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 2.487 * [taylor]: Taking taylor expansion of (log N) in N 2.487 * [taylor]: Taking taylor expansion of N in N 2.487 * [backup-simplify]: Simplify 0 into 0 2.487 * [backup-simplify]: Simplify 1 into 1 2.488 * [backup-simplify]: Simplify (log 1) into 0 2.488 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.489 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.489 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.489 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 2.490 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 2.490 * [backup-simplify]: Simplify (+ 0 (- (pow (log N) 2))) into (- (pow (log N) 2)) 2.490 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 2.490 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.492 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.492 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.492 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (log N))) into 0 2.493 * [backup-simplify]: Simplify (- 0) into 0 2.493 * [backup-simplify]: Simplify (+ 0 0) into 0 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify (* 1 1) into 1 2.494 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.497 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.497 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.498 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (log N)))) into 0 2.498 * [backup-simplify]: Simplify (- 0) into 0 2.498 * [backup-simplify]: Simplify (+ 1 0) into 1 2.498 * [backup-simplify]: Simplify 1 into 1 2.499 * [backup-simplify]: Simplify (+ 0 0) into 0 2.501 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.502 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 2.503 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.507 * [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 2.508 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.509 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 2.509 * [backup-simplify]: Simplify (- 0) into 0 2.510 * [backup-simplify]: Simplify (+ -1 0) into -1 2.510 * [backup-simplify]: Simplify -1 into -1 2.510 * [backup-simplify]: Simplify (+ (* -1 (pow N 3)) (+ (* 1 (pow N 2)) (- (pow (log N) 2)))) into (- (pow N 2) (+ (pow (log N) 2) (pow N 3))) 2.511 * [backup-simplify]: Simplify (- (* (log1p (/ 1 N)) (log1p (/ 1 N))) (* (log (/ 1 N)) (log (/ 1 N)))) into (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) 2.511 * [approximate]: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) in (N) around 0 2.511 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) in N 2.511 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in N 2.511 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 2.511 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 2.511 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 2.511 * [taylor]: Taking taylor expansion of 1 in N 2.511 * [backup-simplify]: Simplify 1 into 1 2.511 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.511 * [taylor]: Taking taylor expansion of N in N 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 1 into 1 2.511 * [backup-simplify]: Simplify (/ 1 1) into 1 2.512 * [backup-simplify]: Simplify (+ 0 1) into 1 2.512 * [backup-simplify]: Simplify (log 1) into 0 2.513 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.513 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 2.513 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.513 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.513 * [taylor]: Taking taylor expansion of N in N 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify 1 into 1 2.513 * [backup-simplify]: Simplify (/ 1 1) into 1 2.513 * [backup-simplify]: Simplify (log 1) into 0 2.514 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.514 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) in N 2.514 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in N 2.514 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 2.514 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 2.514 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 2.514 * [taylor]: Taking taylor expansion of 1 in N 2.514 * [backup-simplify]: Simplify 1 into 1 2.514 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.514 * [taylor]: Taking taylor expansion of N in N 2.514 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify 1 into 1 2.514 * [backup-simplify]: Simplify (/ 1 1) into 1 2.515 * [backup-simplify]: Simplify (+ 0 1) into 1 2.515 * [backup-simplify]: Simplify (log 1) into 0 2.516 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.516 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 2.516 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.516 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.516 * [taylor]: Taking taylor expansion of N in N 2.516 * [backup-simplify]: Simplify 0 into 0 2.516 * [backup-simplify]: Simplify 1 into 1 2.516 * [backup-simplify]: Simplify (/ 1 1) into 1 2.516 * [backup-simplify]: Simplify (log 1) into 0 2.517 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.517 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.518 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.518 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 2.518 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.518 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.519 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 2.519 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 2.519 * [backup-simplify]: Simplify (+ (pow (log N) 2) (- (pow (log N) 2))) into 0 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.520 * [backup-simplify]: Simplify (+ 1 0) into 1 2.521 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.522 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.522 * [backup-simplify]: Simplify (+ (* (- (log N)) 1) (* 1 (- (log N)))) into (- (* 2 (log N))) 2.522 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.524 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.524 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.524 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 2.525 * [backup-simplify]: Simplify (- 0) into 0 2.525 * [backup-simplify]: Simplify (+ (- (* 2 (log N))) 0) into (- (* 2 (log N))) 2.525 * [backup-simplify]: Simplify (- (* 2 (log N))) into (- (* 2 (log N))) 2.526 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.527 * [backup-simplify]: Simplify (+ 0 0) into 0 2.530 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.531 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.531 * [backup-simplify]: Simplify (+ (* (- (log N)) -1/2) (+ (* 1 1) (* -1/2 (- (log N))))) into (+ (log N) 1) 2.532 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.536 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.537 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.538 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.538 * [backup-simplify]: Simplify (- 0) into 0 2.538 * [backup-simplify]: Simplify (+ (+ (log N) 1) 0) into (+ (log N) 1) 2.539 * [backup-simplify]: Simplify (+ (log N) 1) into (+ (log N) 1) 2.539 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.541 * [backup-simplify]: Simplify (+ 0 0) into 0 2.551 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 2.552 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.553 * [backup-simplify]: Simplify (+ (* (- (log N)) 1/3) (+ (* 1 -1/2) (+ (* -1/2 1) (* 1/3 (- (log N)))))) into (- (+ (* 2/3 (log N)) 1)) 2.554 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.560 * [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 2.561 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.562 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 2.562 * [backup-simplify]: Simplify (- 0) into 0 2.563 * [backup-simplify]: Simplify (+ (- (+ (* 2/3 (log N)) 1)) 0) into (- (+ (* 2/3 (log N)) 1)) 2.563 * [backup-simplify]: Simplify (- (+ (* 2/3 (log N)) 1)) into (- (+ (* 2/3 (log N)) 1)) 2.564 * [backup-simplify]: Simplify (+ (* (- (+ (* 2/3 (log (/ 1 N))) 1)) (pow (/ 1 N) 3)) (+ (* (+ (log (/ 1 N)) 1) (pow (/ 1 N) 2)) (* (- (* 2 (log (/ 1 N)))) (/ 1 N)))) into (- (+ (/ 1 (pow N 2)) (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 (pow N 3)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 3))) (* 2 (/ (log (/ 1 N)) N))))) 2.564 * [backup-simplify]: Simplify (- (* (log1p (/ 1 (- N))) (log1p (/ 1 (- N)))) (* (log (/ 1 (- N))) (log (/ 1 (- N))))) into (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) 2.564 * [approximate]: Taking taylor expansion of (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) in (N) around 0 2.564 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) in N 2.564 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in N 2.564 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 2.564 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 2.564 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 2.564 * [taylor]: Taking taylor expansion of 1 in N 2.564 * [backup-simplify]: Simplify 1 into 1 2.564 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.564 * [taylor]: Taking taylor expansion of -1 in N 2.564 * [backup-simplify]: Simplify -1 into -1 2.564 * [taylor]: Taking taylor expansion of N in N 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify 1 into 1 2.565 * [backup-simplify]: Simplify (/ -1 1) into -1 2.565 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.566 * [backup-simplify]: Simplify (log -1) into (log -1) 2.567 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.567 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 2.567 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 2.567 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.567 * [taylor]: Taking taylor expansion of -1 in N 2.567 * [backup-simplify]: Simplify -1 into -1 2.567 * [taylor]: Taking taylor expansion of N in N 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.568 * [backup-simplify]: Simplify (/ -1 1) into -1 2.568 * [backup-simplify]: Simplify (log -1) into (log -1) 2.569 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.569 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) in N 2.569 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in N 2.569 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 2.569 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 2.569 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 2.569 * [taylor]: Taking taylor expansion of 1 in N 2.569 * [backup-simplify]: Simplify 1 into 1 2.569 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.569 * [taylor]: Taking taylor expansion of -1 in N 2.569 * [backup-simplify]: Simplify -1 into -1 2.569 * [taylor]: Taking taylor expansion of N in N 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 1 into 1 2.569 * [backup-simplify]: Simplify (/ -1 1) into -1 2.570 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.570 * [backup-simplify]: Simplify (log -1) into (log -1) 2.570 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.570 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 2.570 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 2.570 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.571 * [taylor]: Taking taylor expansion of -1 in N 2.571 * [backup-simplify]: Simplify -1 into -1 2.571 * [taylor]: Taking taylor expansion of N in N 2.571 * [backup-simplify]: Simplify 0 into 0 2.571 * [backup-simplify]: Simplify 1 into 1 2.571 * [backup-simplify]: Simplify (/ -1 1) into -1 2.571 * [backup-simplify]: Simplify (log -1) into (log -1) 2.572 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.572 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.573 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.573 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 2.574 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.574 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.575 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 2.575 * [backup-simplify]: Simplify (- (pow (- (log -1) (log N)) 2)) into (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2))) 2.576 * [backup-simplify]: Simplify (+ (pow (- (log -1) (log N)) 2) (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2)))) into 0 2.576 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.578 * [backup-simplify]: Simplify (+ 1 0) into 1 2.578 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.579 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.579 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1) (* -1 (- (log -1) (log N)))) into (- (* 2 (log N)) (* 2 (log -1))) 2.580 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.581 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.582 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.582 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 2.583 * [backup-simplify]: Simplify (- 0) into 0 2.583 * [backup-simplify]: Simplify (+ (- (* 2 (log N)) (* 2 (log -1))) 0) into (- (* 2 (log N)) (* 2 (log -1))) 2.584 * [backup-simplify]: Simplify (- (* 2 (log N)) (* 2 (log -1))) into (- (* 2 (log N)) (* 2 (log -1))) 2.584 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.585 * [backup-simplify]: Simplify (+ 0 0) into 0 2.587 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.587 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.588 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1/2) (+ (* -1 -1) (* -1/2 (- (log -1) (log N))))) into (- (+ (log N) 1) (log -1)) 2.589 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.591 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.591 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.592 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 2.592 * [backup-simplify]: Simplify (- 0) into 0 2.593 * [backup-simplify]: Simplify (+ (- (+ (log N) 1) (log -1)) 0) into (- (+ (log N) 1) (log -1)) 2.593 * [backup-simplify]: Simplify (- (+ (log N) 1) (log -1)) into (- (+ (log N) 1) (log -1)) 2.594 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.595 * [backup-simplify]: Simplify (+ 0 0) into 0 2.597 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 2.598 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.599 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1/3) (+ (* -1 -1/2) (+ (* -1/2 -1) (* -1/3 (- (log -1) (log N)))))) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 2.600 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.605 * [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 2.607 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.608 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 2.609 * [backup-simplify]: Simplify (- 0) into 0 2.610 * [backup-simplify]: Simplify (+ (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 0) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 2.611 * [backup-simplify]: Simplify (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 2.614 * [backup-simplify]: Simplify (+ (* (- (+ (* 2/3 (log (/ 1 (- N)))) 1) (* 2/3 (log -1))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (log (/ 1 (- N))) 1) (log -1)) (pow (/ 1 (- N)) 2)) (* (- (* 2 (log (/ 1 (- N)))) (* 2 (log -1))) (/ 1 (- N))))) into (- (+ (* 2 (/ (log -1) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ -1 N)) (pow N 2)) (* 2/3 (/ (log -1) (pow N 3)))))) (+ (/ 1 (pow N 3)) (+ (* 2/3 (/ (log (/ -1 N)) (pow N 3))) (+ (* 2 (/ (log (/ -1 N)) N)) (/ (log -1) (pow N 2)))))) 2.614 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.614 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 2.614 * [approximate]: Taking taylor expansion of (pow (log N) 2) in (N) around 0 2.614 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 2.614 * [taylor]: Taking taylor expansion of (log N) in N 2.614 * [taylor]: Taking taylor expansion of N in N 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify 1 into 1 2.615 * [backup-simplify]: Simplify (log 1) into 0 2.615 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.615 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 2.615 * [taylor]: Taking taylor expansion of (log N) in N 2.615 * [taylor]: Taking taylor expansion of N in N 2.615 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify 1 into 1 2.616 * [backup-simplify]: Simplify (log 1) into 0 2.616 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.617 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.617 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.617 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 2.617 * [backup-simplify]: Simplify (pow (log N) 2) into (pow (log N) 2) 2.618 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.619 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.619 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.619 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (log N))) into 0 2.619 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.622 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.623 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.623 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (log N)))) into 0 2.623 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.628 * [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 2.629 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.630 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 2.630 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.642 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 2.643 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.644 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 2.644 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.662 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 2.662 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.664 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 2.664 * [backup-simplify]: Simplify 0 into 0 2.665 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.705 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 2.706 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.708 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify (pow (log N) 2) into (pow (log N) 2) 2.709 * [backup-simplify]: Simplify (* (log (/ 1 N)) (log (/ 1 N))) into (pow (log (/ 1 N)) 2) 2.709 * [approximate]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in (N) around 0 2.709 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 2.709 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.709 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.709 * [taylor]: Taking taylor expansion of N in N 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify 1 into 1 2.709 * [backup-simplify]: Simplify (/ 1 1) into 1 2.710 * [backup-simplify]: Simplify (log 1) into 0 2.710 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.710 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 2.710 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.710 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.710 * [taylor]: Taking taylor expansion of N in N 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify (/ 1 1) into 1 2.711 * [backup-simplify]: Simplify (log 1) into 0 2.711 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.712 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.712 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.712 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 2.712 * [backup-simplify]: Simplify (pow (log N) 2) into (pow (log N) 2) 2.713 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.714 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.715 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.717 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.718 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.718 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.722 * [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 2.722 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.723 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.730 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 2.731 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.732 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.743 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 2.744 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.746 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.781 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 2.781 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.783 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 2.783 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify (pow (log (/ 1 N)) 2) into (pow (log (/ 1 N)) 2) 2.784 * [backup-simplify]: Simplify (* (log (/ 1 (- N))) (log (/ 1 (- N)))) into (pow (log (/ -1 N)) 2) 2.784 * [approximate]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in (N) around 0 2.784 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 2.784 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 2.784 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.784 * [taylor]: Taking taylor expansion of -1 in N 2.784 * [backup-simplify]: Simplify -1 into -1 2.784 * [taylor]: Taking taylor expansion of N in N 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 1 into 1 2.784 * [backup-simplify]: Simplify (/ -1 1) into -1 2.785 * [backup-simplify]: Simplify (log -1) into (log -1) 2.786 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.786 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 2.786 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 2.786 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.786 * [taylor]: Taking taylor expansion of -1 in N 2.786 * [backup-simplify]: Simplify -1 into -1 2.786 * [taylor]: Taking taylor expansion of N in N 2.786 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify 1 into 1 2.786 * [backup-simplify]: Simplify (/ -1 1) into -1 2.787 * [backup-simplify]: Simplify (log -1) into (log -1) 2.787 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.788 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.789 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.790 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 2.790 * [backup-simplify]: Simplify (pow (- (log -1) (log N)) 2) into (pow (- (log -1) (log N)) 2) 2.791 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.794 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.794 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.795 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 2.795 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.800 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.801 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.802 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 2.802 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.807 * [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 2.808 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.809 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.821 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 2.822 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.823 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))) into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.835 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 2.836 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.838 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))) into 0 2.838 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.872 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 2.874 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.876 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))))) into 0 2.876 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify (pow (- (log -1) (log (/ 1 (- N)))) 2) into (pow (- (log -1) (log (/ -1 N))) 2) 2.877 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.877 * [backup-simplify]: Simplify (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N))) into (/ (- (pow (log1p N) 2) (pow (log N) 2)) (+ (log N) (log1p N))) 2.878 * [approximate]: Taking taylor expansion of (/ (- (pow (log1p N) 2) (pow (log N) 2)) (+ (log N) (log1p N))) in (N) around 0 2.878 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p N) 2) (pow (log N) 2)) (+ (log N) (log1p N))) in N 2.878 * [taylor]: Taking taylor expansion of (- (pow (log1p N) 2) (pow (log N) 2)) in N 2.878 * [taylor]: Taking taylor expansion of (pow (log1p N) 2) in N 2.878 * [taylor]: Taking taylor expansion of (log1p N) in N 2.878 * [taylor]: Rewrote expression to (log (+ 1 N)) 2.878 * [taylor]: Taking taylor expansion of (+ 1 N) in N 2.878 * [taylor]: Taking taylor expansion of 1 in N 2.878 * [backup-simplify]: Simplify 1 into 1 2.878 * [taylor]: Taking taylor expansion of N in N 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 1 into 1 2.879 * [backup-simplify]: Simplify (+ 1 0) into 1 2.879 * [backup-simplify]: Simplify (log 1) into 0 2.879 * [backup-simplify]: Simplify (+ 0 1) into 1 2.881 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.881 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 2.881 * [taylor]: Taking taylor expansion of (log N) in N 2.881 * [taylor]: Taking taylor expansion of N in N 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify 1 into 1 2.881 * [backup-simplify]: Simplify (log 1) into 0 2.882 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.882 * [taylor]: Taking taylor expansion of (+ (log N) (log1p N)) in N 2.882 * [taylor]: Taking taylor expansion of (log N) in N 2.882 * [taylor]: Taking taylor expansion of N in N 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify 1 into 1 2.882 * [backup-simplify]: Simplify (log 1) into 0 2.882 * [taylor]: Taking taylor expansion of (log1p N) in N 2.882 * [taylor]: Rewrote expression to (log (+ 1 N)) 2.882 * [taylor]: Taking taylor expansion of (+ 1 N) in N 2.882 * [taylor]: Taking taylor expansion of 1 in N 2.882 * [backup-simplify]: Simplify 1 into 1 2.882 * [taylor]: Taking taylor expansion of N in N 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 1 into 1 2.883 * [backup-simplify]: Simplify (+ 1 0) into 1 2.883 * [backup-simplify]: Simplify (log 1) into 0 2.884 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.884 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.884 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 2.884 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 2.885 * [backup-simplify]: Simplify (+ 0 (- (pow (log N) 2))) into (- (pow (log N) 2)) 2.885 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.885 * [backup-simplify]: Simplify (+ (log N) 0) into (log N) 2.885 * [backup-simplify]: Simplify (/ (- (pow (log N) 2)) (log N)) into (* -1 (log N)) 2.885 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p N) 2) (pow (log N) 2)) (+ (log N) (log1p N))) in N 2.885 * [taylor]: Taking taylor expansion of (- (pow (log1p N) 2) (pow (log N) 2)) in N 2.885 * [taylor]: Taking taylor expansion of (pow (log1p N) 2) in N 2.885 * [taylor]: Taking taylor expansion of (log1p N) in N 2.886 * [taylor]: Rewrote expression to (log (+ 1 N)) 2.886 * [taylor]: Taking taylor expansion of (+ 1 N) in N 2.886 * [taylor]: Taking taylor expansion of 1 in N 2.886 * [backup-simplify]: Simplify 1 into 1 2.886 * [taylor]: Taking taylor expansion of N in N 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify 1 into 1 2.886 * [backup-simplify]: Simplify (+ 1 0) into 1 2.886 * [backup-simplify]: Simplify (log 1) into 0 2.887 * [backup-simplify]: Simplify (+ 0 1) into 1 2.888 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.888 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 2.888 * [taylor]: Taking taylor expansion of (log N) in N 2.888 * [taylor]: Taking taylor expansion of N in N 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 1 into 1 2.889 * [backup-simplify]: Simplify (log 1) into 0 2.889 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.889 * [taylor]: Taking taylor expansion of (+ (log N) (log1p N)) in N 2.889 * [taylor]: Taking taylor expansion of (log N) in N 2.889 * [taylor]: Taking taylor expansion of N in N 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify 1 into 1 2.890 * [backup-simplify]: Simplify (log 1) into 0 2.890 * [taylor]: Taking taylor expansion of (log1p N) in N 2.890 * [taylor]: Rewrote expression to (log (+ 1 N)) 2.890 * [taylor]: Taking taylor expansion of (+ 1 N) in N 2.890 * [taylor]: Taking taylor expansion of 1 in N 2.890 * [backup-simplify]: Simplify 1 into 1 2.890 * [taylor]: Taking taylor expansion of N in N 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 1 into 1 2.890 * [backup-simplify]: Simplify (+ 1 0) into 1 2.891 * [backup-simplify]: Simplify (log 1) into 0 2.891 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.892 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.892 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 2.892 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 2.892 * [backup-simplify]: Simplify (+ 0 (- (pow (log N) 2))) into (- (pow (log N) 2)) 2.892 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.893 * [backup-simplify]: Simplify (+ (log N) 0) into (log N) 2.893 * [backup-simplify]: Simplify (/ (- (pow (log N) 2)) (log N)) into (* -1 (log N)) 2.893 * [backup-simplify]: Simplify (* -1 (log N)) into (* -1 (log N)) 2.893 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.895 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.895 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.895 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (log N))) into 0 2.895 * [backup-simplify]: Simplify (- 0) into 0 2.896 * [backup-simplify]: Simplify (+ 0 0) into 0 2.897 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.897 * [backup-simplify]: Simplify (+ 0 1) into 1 2.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.899 * [backup-simplify]: Simplify (+ 0 1) into 1 2.899 * [backup-simplify]: Simplify (- (/ 0 (log N)) (+ (* (* -1 (log N)) (/ 1 (log N))))) into 1 2.899 * [backup-simplify]: Simplify 1 into 1 2.900 * [backup-simplify]: Simplify (* 1 1) into 1 2.900 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.903 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.903 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.904 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (log N)))) into 0 2.904 * [backup-simplify]: Simplify (- 0) into 0 2.905 * [backup-simplify]: Simplify (+ 1 0) into 1 2.907 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.908 * [backup-simplify]: Simplify (+ 0 0) into 0 2.910 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.911 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.911 * [backup-simplify]: Simplify (- (/ 1 (log N)) (+ (* (* -1 (log N)) (/ -1/2 (log N))) (* 1 (/ 1 (log N))))) into (- 1/2) 2.912 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.912 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (* -1 (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 2.912 * [backup-simplify]: Simplify (/ (- (* (log1p (/ 1 N)) (log1p (/ 1 N))) (* (log (/ 1 N)) (log (/ 1 N)))) (+ (log1p (/ 1 N)) (log (/ 1 N)))) into (/ (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) (+ (log (/ 1 N)) (log1p (/ 1 N)))) 2.912 * [approximate]: Taking taylor expansion of (/ (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) (+ (log (/ 1 N)) (log1p (/ 1 N)))) in (N) around 0 2.912 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) (+ (log (/ 1 N)) (log1p (/ 1 N)))) in N 2.912 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) in N 2.912 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in N 2.912 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 2.912 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 2.912 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 2.912 * [taylor]: Taking taylor expansion of 1 in N 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.913 * [taylor]: Taking taylor expansion of N in N 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (/ 1 1) into 1 2.913 * [backup-simplify]: Simplify (+ 0 1) into 1 2.913 * [backup-simplify]: Simplify (log 1) into 0 2.914 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.914 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 2.914 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.914 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.914 * [taylor]: Taking taylor expansion of N in N 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 1 into 1 2.914 * [backup-simplify]: Simplify (/ 1 1) into 1 2.914 * [backup-simplify]: Simplify (log 1) into 0 2.915 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.915 * [taylor]: Taking taylor expansion of (+ (log (/ 1 N)) (log1p (/ 1 N))) in N 2.915 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.915 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.915 * [taylor]: Taking taylor expansion of N in N 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify 1 into 1 2.915 * [backup-simplify]: Simplify (/ 1 1) into 1 2.915 * [backup-simplify]: Simplify (log 1) into 0 2.915 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 2.915 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 2.915 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 2.915 * [taylor]: Taking taylor expansion of 1 in N 2.915 * [backup-simplify]: Simplify 1 into 1 2.915 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.915 * [taylor]: Taking taylor expansion of N in N 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify 1 into 1 2.915 * [backup-simplify]: Simplify (/ 1 1) into 1 2.916 * [backup-simplify]: Simplify (+ 0 1) into 1 2.916 * [backup-simplify]: Simplify (log 1) into 0 2.916 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.917 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.917 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 2.917 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.917 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.917 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 2.917 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 2.917 * [backup-simplify]: Simplify (+ (pow (log N) 2) (- (pow (log N) 2))) into 0 2.918 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.918 * [backup-simplify]: Simplify (+ 1 0) into 1 2.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.919 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.920 * [backup-simplify]: Simplify (+ (* (- (log N)) 1) (* 1 (- (log N)))) into (- (* 2 (log N))) 2.920 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.921 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.921 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.921 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 2.922 * [backup-simplify]: Simplify (- 0) into 0 2.922 * [backup-simplify]: Simplify (+ (- (* 2 (log N))) 0) into (- (* 2 (log N))) 2.922 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.923 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.923 * [backup-simplify]: Simplify (+ (- (log N)) (- (log N))) into (- (* 2 (log N))) 2.923 * [backup-simplify]: Simplify (/ (- (* 2 (log N))) (- (* 2 (log N)))) into 1 2.923 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) (+ (log (/ 1 N)) (log1p (/ 1 N)))) in N 2.923 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 2) (pow (log (/ 1 N)) 2)) in N 2.923 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in N 2.923 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 2.923 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 2.923 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 2.923 * [taylor]: Taking taylor expansion of 1 in N 2.923 * [backup-simplify]: Simplify 1 into 1 2.923 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.923 * [taylor]: Taking taylor expansion of N in N 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify 1 into 1 2.924 * [backup-simplify]: Simplify (/ 1 1) into 1 2.924 * [backup-simplify]: Simplify (+ 0 1) into 1 2.924 * [backup-simplify]: Simplify (log 1) into 0 2.924 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.924 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 2.924 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.925 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.925 * [taylor]: Taking taylor expansion of N in N 2.925 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify 1 into 1 2.925 * [backup-simplify]: Simplify (/ 1 1) into 1 2.925 * [backup-simplify]: Simplify (log 1) into 0 2.925 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.925 * [taylor]: Taking taylor expansion of (+ (log (/ 1 N)) (log1p (/ 1 N))) in N 2.925 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.925 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.926 * [taylor]: Taking taylor expansion of N in N 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 1 into 1 2.926 * [backup-simplify]: Simplify (/ 1 1) into 1 2.926 * [backup-simplify]: Simplify (log 1) into 0 2.926 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 2.926 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 2.926 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 2.926 * [taylor]: Taking taylor expansion of 1 in N 2.926 * [backup-simplify]: Simplify 1 into 1 2.926 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.926 * [taylor]: Taking taylor expansion of N in N 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 1 into 1 2.927 * [backup-simplify]: Simplify (/ 1 1) into 1 2.927 * [backup-simplify]: Simplify (+ 0 1) into 1 2.927 * [backup-simplify]: Simplify (log 1) into 0 2.927 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.928 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.928 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 2.928 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.929 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.929 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 2.929 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 2.929 * [backup-simplify]: Simplify (+ (pow (log N) 2) (- (pow (log N) 2))) into 0 2.929 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.930 * [backup-simplify]: Simplify (+ 1 0) into 1 2.931 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.931 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.931 * [backup-simplify]: Simplify (+ (* (- (log N)) 1) (* 1 (- (log N)))) into (- (* 2 (log N))) 2.931 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.932 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.933 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.933 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 2.933 * [backup-simplify]: Simplify (- 0) into 0 2.933 * [backup-simplify]: Simplify (+ (- (* 2 (log N))) 0) into (- (* 2 (log N))) 2.933 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.934 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.934 * [backup-simplify]: Simplify (+ (- (log N)) (- (log N))) into (- (* 2 (log N))) 2.934 * [backup-simplify]: Simplify (/ (- (* 2 (log N))) (- (* 2 (log N)))) into 1 2.934 * [backup-simplify]: Simplify 1 into 1 2.934 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.935 * [backup-simplify]: Simplify (+ 0 0) into 0 2.936 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.937 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.937 * [backup-simplify]: Simplify (+ (* (- (log N)) -1/2) (+ (* 1 1) (* -1/2 (- (log N))))) into (+ (log N) 1) 2.937 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.939 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.940 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.944 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.945 * [backup-simplify]: Simplify (- 0) into 0 2.945 * [backup-simplify]: Simplify (+ (+ (log N) 1) 0) into (+ (log N) 1) 2.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.947 * [backup-simplify]: Simplify (+ 1 0) into 1 2.948 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.948 * [backup-simplify]: Simplify (+ 0 1) into 1 2.948 * [backup-simplify]: Simplify (- (/ (+ (log N) 1) (- (* 2 (log N)))) (+ (* 1 (/ 1 (- (* 2 (log N))))))) into (- 1/2) 2.948 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.949 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.950 * [backup-simplify]: Simplify (+ 0 0) into 0 2.952 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 2.953 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.953 * [backup-simplify]: Simplify (+ (* (- (log N)) 1/3) (+ (* 1 -1/2) (+ (* -1/2 1) (* 1/3 (- (log N)))))) into (- (+ (* 2/3 (log N)) 1)) 2.953 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.957 * [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 2.957 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.958 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 2.958 * [backup-simplify]: Simplify (- 0) into 0 2.959 * [backup-simplify]: Simplify (+ (- (+ (* 2/3 (log N)) 1)) 0) into (- (+ (* 2/3 (log N)) 1)) 2.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.962 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.964 * [backup-simplify]: Simplify (+ 0 0) into 0 2.967 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.967 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.968 * [backup-simplify]: Simplify (- (/ (- (+ (* 2/3 (log N)) 1)) (- (* 2 (log N)))) (+ (* 1 (/ -1/2 (- (* 2 (log N))))) (* (- 1/2) (/ 1 (- (* 2 (log N))))))) into 1/3 2.968 * [backup-simplify]: Simplify 1/3 into 1/3 2.968 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.969 * [backup-simplify]: Simplify (/ (- (* (log1p (/ 1 (- N))) (log1p (/ 1 (- N)))) (* (log (/ 1 (- N))) (log (/ 1 (- N))))) (+ (log1p (/ 1 (- N))) (log (/ 1 (- N))))) into (/ (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) (+ (log (/ -1 N)) (log1p (/ -1 N)))) 2.969 * [approximate]: Taking taylor expansion of (/ (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) (+ (log (/ -1 N)) (log1p (/ -1 N)))) in (N) around 0 2.969 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) (+ (log (/ -1 N)) (log1p (/ -1 N)))) in N 2.969 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) in N 2.969 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in N 2.969 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 2.969 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 2.969 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 2.969 * [taylor]: Taking taylor expansion of 1 in N 2.969 * [backup-simplify]: Simplify 1 into 1 2.969 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.969 * [taylor]: Taking taylor expansion of -1 in N 2.969 * [backup-simplify]: Simplify -1 into -1 2.969 * [taylor]: Taking taylor expansion of N in N 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify 1 into 1 2.970 * [backup-simplify]: Simplify (/ -1 1) into -1 2.970 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.971 * [backup-simplify]: Simplify (log -1) into (log -1) 2.971 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.971 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 2.971 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 2.971 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.972 * [taylor]: Taking taylor expansion of -1 in N 2.972 * [backup-simplify]: Simplify -1 into -1 2.972 * [taylor]: Taking taylor expansion of N in N 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 1 into 1 2.972 * [backup-simplify]: Simplify (/ -1 1) into -1 2.972 * [backup-simplify]: Simplify (log -1) into (log -1) 2.973 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.973 * [taylor]: Taking taylor expansion of (+ (log (/ -1 N)) (log1p (/ -1 N))) in N 2.973 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 2.973 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.973 * [taylor]: Taking taylor expansion of -1 in N 2.973 * [backup-simplify]: Simplify -1 into -1 2.973 * [taylor]: Taking taylor expansion of N in N 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (/ -1 1) into -1 2.974 * [backup-simplify]: Simplify (log -1) into (log -1) 2.974 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 2.974 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 2.974 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 2.974 * [taylor]: Taking taylor expansion of 1 in N 2.974 * [backup-simplify]: Simplify 1 into 1 2.974 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.974 * [taylor]: Taking taylor expansion of -1 in N 2.975 * [backup-simplify]: Simplify -1 into -1 2.975 * [taylor]: Taking taylor expansion of N in N 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 1 into 1 2.975 * [backup-simplify]: Simplify (/ -1 1) into -1 2.975 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.976 * [backup-simplify]: Simplify (log -1) into (log -1) 2.977 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.977 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.979 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 2.979 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.980 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.981 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 2.982 * [backup-simplify]: Simplify (- (pow (- (log -1) (log N)) 2)) into (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2))) 2.984 * [backup-simplify]: Simplify (+ (pow (- (log -1) (log N)) 2) (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2)))) into 0 2.985 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.986 * [backup-simplify]: Simplify (+ 1 0) into 1 2.987 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.988 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.989 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1) (* -1 (- (log -1) (log N)))) into (- (* 2 (log N)) (* 2 (log -1))) 2.990 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.992 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.993 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.993 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 2.994 * [backup-simplify]: Simplify (- 0) into 0 2.995 * [backup-simplify]: Simplify (+ (- (* 2 (log N)) (* 2 (log -1))) 0) into (- (* 2 (log N)) (* 2 (log -1))) 2.995 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.996 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.997 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log -1) (log N))) into (- (* 2 (log -1)) (* 2 (log N))) 2.999 * [backup-simplify]: Simplify (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) into (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) 2.999 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) (+ (log (/ -1 N)) (log1p (/ -1 N)))) in N 2.999 * [taylor]: Taking taylor expansion of (- (pow (log1p (/ -1 N)) 2) (pow (log (/ -1 N)) 2)) in N 2.999 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in N 2.999 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 2.999 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 2.999 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 2.999 * [taylor]: Taking taylor expansion of 1 in N 2.999 * [backup-simplify]: Simplify 1 into 1 2.999 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.999 * [taylor]: Taking taylor expansion of -1 in N 2.999 * [backup-simplify]: Simplify -1 into -1 2.999 * [taylor]: Taking taylor expansion of N in N 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 3.000 * [backup-simplify]: Simplify (/ -1 1) into -1 3.000 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.000 * [backup-simplify]: Simplify (log -1) into (log -1) 3.001 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.001 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 3.001 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 3.001 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.001 * [taylor]: Taking taylor expansion of -1 in N 3.001 * [backup-simplify]: Simplify -1 into -1 3.001 * [taylor]: Taking taylor expansion of N in N 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 1 into 1 3.001 * [backup-simplify]: Simplify (/ -1 1) into -1 3.002 * [backup-simplify]: Simplify (log -1) into (log -1) 3.002 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.002 * [taylor]: Taking taylor expansion of (+ (log (/ -1 N)) (log1p (/ -1 N))) in N 3.002 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 3.002 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.002 * [taylor]: Taking taylor expansion of -1 in N 3.002 * [backup-simplify]: Simplify -1 into -1 3.002 * [taylor]: Taking taylor expansion of N in N 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 1 into 1 3.002 * [backup-simplify]: Simplify (/ -1 1) into -1 3.003 * [backup-simplify]: Simplify (log -1) into (log -1) 3.003 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 3.003 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 3.003 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 3.003 * [taylor]: Taking taylor expansion of 1 in N 3.003 * [backup-simplify]: Simplify 1 into 1 3.003 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.003 * [taylor]: Taking taylor expansion of -1 in N 3.003 * [backup-simplify]: Simplify -1 into -1 3.003 * [taylor]: Taking taylor expansion of N in N 3.003 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify 1 into 1 3.003 * [backup-simplify]: Simplify (/ -1 1) into -1 3.003 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.004 * [backup-simplify]: Simplify (log -1) into (log -1) 3.004 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.005 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.005 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 3.006 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.006 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.007 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 3.007 * [backup-simplify]: Simplify (- (pow (- (log -1) (log N)) 2)) into (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2))) 3.008 * [backup-simplify]: Simplify (+ (pow (- (log -1) (log N)) 2) (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2)))) into 0 3.009 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.009 * [backup-simplify]: Simplify (+ 1 0) into 1 3.010 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 3.011 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.011 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1) (* -1 (- (log -1) (log N)))) into (- (* 2 (log N)) (* 2 (log -1))) 3.012 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.013 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 3.014 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.014 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 3.014 * [backup-simplify]: Simplify (- 0) into 0 3.015 * [backup-simplify]: Simplify (+ (- (* 2 (log N)) (* 2 (log -1))) 0) into (- (* 2 (log N)) (* 2 (log -1))) 3.015 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.016 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.016 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log -1) (log N))) into (- (* 2 (log -1)) (* 2 (log N))) 3.018 * [backup-simplify]: Simplify (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) into (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) 3.019 * [backup-simplify]: Simplify (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) into (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) 3.019 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.020 * [backup-simplify]: Simplify (+ 0 0) into 0 3.022 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 3.022 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.023 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1/2) (+ (* -1 -1) (* -1/2 (- (log -1) (log N))))) into (- (+ (log N) 1) (log -1)) 3.024 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.026 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 3.027 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.027 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 3.028 * [backup-simplify]: Simplify (- 0) into 0 3.028 * [backup-simplify]: Simplify (+ (- (+ (log N) 1) (log -1)) 0) into (- (+ (log N) 1) (log -1)) 3.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.029 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 3.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.030 * [backup-simplify]: Simplify (+ 1 0) into 1 3.031 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 3.031 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.034 * [backup-simplify]: Simplify (- (/ (- (+ (log N) 1) (log -1)) (- (* 2 (log -1)) (* 2 (log N)))) (+ (* (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) (/ -1 (- (* 2 (log -1)) (* 2 (log N))))))) into (- (+ (/ 1 (- (* 2 (log -1)) (* 2 (log N)))) (+ (/ (log N) (- (* 2 (log -1)) (* 2 (log N)))) (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (/ (log -1) (- (* 2 (log -1)) (* 2 (log N)))))) 3.038 * [backup-simplify]: Simplify (- (+ (/ 1 (- (* 2 (log -1)) (* 2 (log N)))) (+ (/ (log N) (- (* 2 (log -1)) (* 2 (log N)))) (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (/ (log -1) (- (* 2 (log -1)) (* 2 (log N)))))) into (- (+ (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (+ (/ 1 (- (* 2 (log -1)) (* 2 (log N)))) (/ (log N) (- (* 2 (log -1)) (* 2 (log N)))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (/ (log -1) (- (* 2 (log -1)) (* 2 (log N)))))) 3.039 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.040 * [backup-simplify]: Simplify (+ 0 0) into 0 3.045 * [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 3.046 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.048 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1/3) (+ (* -1 -1/2) (+ (* -1/2 -1) (* -1/3 (- (log -1) (log N)))))) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 3.048 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.059 * [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 3.061 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.062 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 3.062 * [backup-simplify]: Simplify (- 0) into 0 3.065 * [backup-simplify]: Simplify (+ (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 0) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 3.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.069 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 3.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.070 * [backup-simplify]: Simplify (+ 0 0) into 0 3.073 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 3.073 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.086 * [backup-simplify]: Simplify (- (/ (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) (+ (* (/ (- (* 2 (log N)) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log N)))) (/ -1/2 (- (* 2 (log -1)) (* 2 (log N))))) (* (- (+ (/ 1 (- (* 2 (log -1)) (* 2 (log N)))) (+ (/ (log N) (- (* 2 (log -1)) (* 2 (log N)))) (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (/ (log -1) (- (* 2 (log -1)) (* 2 (log N)))))) (/ -1 (- (* 2 (log -1)) (* 2 (log N))))))) into (- (+ (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 3))) (+ (* 2/3 (/ (log N) (- (* 2 (log -1)) (* 2 (log N))))) (+ (/ 1 (- (* 2 (log -1)) (* 2 (log N)))) (+ (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (/ 1 (pow (- (* 2 (log -1)) (* 2 (log N))) 2)))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (+ (* 2/3 (/ (log -1) (- (* 2 (log -1)) (* 2 (log N))))) (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 3)))))) 3.098 * [backup-simplify]: Simplify (- (+ (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 3))) (+ (* 2/3 (/ (log N) (- (* 2 (log -1)) (* 2 (log N))))) (+ (/ 1 (- (* 2 (log -1)) (* 2 (log N)))) (+ (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (/ 1 (pow (- (* 2 (log -1)) (* 2 (log N))) 2)))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (+ (* 2/3 (/ (log -1) (- (* 2 (log -1)) (* 2 (log N))))) (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 3)))))) into (- (+ (* 2/3 (/ (log N) (- (* 2 (log -1)) (* 2 (log N))))) (+ (/ 1 (- (* 2 (log -1)) (* 2 (log N)))) (+ (/ 1 (pow (- (* 2 (log -1)) (* 2 (log N))) 2)) (+ (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 3))) (* 2 (/ (log N) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 2))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log N))) 3))) (* 2/3 (/ (log -1) (- (* 2 (log -1)) (* 2 (log N)))))))) 3.120 * [backup-simplify]: Simplify (+ (* (- (+ (* 2/3 (/ (log (/ 1 (- N))) (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))))) (+ (/ 1 (- (* 2 (log -1)) (* 2 (log (/ 1 (- N)))))) (+ (/ 1 (pow (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))) 2)) (+ (* 2 (/ (log (/ 1 (- N))) (pow (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))) 3))) (* 2 (/ (log (/ 1 (- N))) (pow (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))) 2))))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))) 2))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))) 3))) (* 2/3 (/ (log -1) (- (* 2 (log -1)) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (* 2 (/ (log (/ 1 (- N))) (pow (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))) 2))) (+ (/ 1 (- (* 2 (log -1)) (* 2 (log (/ 1 (- N)))))) (/ (log (/ 1 (- N))) (- (* 2 (log -1)) (* 2 (log (/ 1 (- N)))))))) (+ (* 2 (/ (log -1) (pow (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))) 2))) (/ (log -1) (- (* 2 (log -1)) (* 2 (log (/ 1 (- N)))))))) (pow (/ 1 (- N)) 2)) (* (/ (- (* 2 (log (/ 1 (- N)))) (* 2 (log -1))) (- (* 2 (log -1)) (* 2 (log (/ 1 (- N)))))) (/ 1 (- N))))) into (- (+ (/ 1 (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 2))) (+ (* 2 (/ (log -1) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 3) (pow N 3)))) (+ (* 2 (/ (log -1) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) N))) (+ (/ (log (/ -1 N)) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 2))) (+ (* 2/3 (/ (log -1) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 3)))) (+ (* 2 (/ (log -1) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 2) (pow N 3)))) (* 2 (/ (log (/ -1 N)) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 2) (pow N 2)))))))))) (+ (* 2 (/ (log -1) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 2) (pow N 2)))) (+ (* 2 (/ (log (/ -1 N)) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) N))) (+ (/ 1 (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 3))) (+ (* 2/3 (/ (log (/ -1 N)) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 3)))) (+ (/ 1 (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 2) (pow N 3))) (+ (* 2 (/ (log (/ -1 N)) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 3) (pow N 3)))) (+ (/ (log -1) (* (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) (pow N 2))) (* 2 (/ (log (/ -1 N)) (* (pow (- (* 2 (log -1)) (* 2 (log (/ -1 N)))) 2) (pow N 3)))))))))))) 3.120 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.120 * [backup-simplify]: Simplify (* (log1p N) (log1p N)) into (pow (log1p N) 2) 3.120 * [approximate]: Taking taylor expansion of (pow (log1p N) 2) in (N) around 0 3.121 * [taylor]: Taking taylor expansion of (pow (log1p N) 2) in N 3.121 * [taylor]: Taking taylor expansion of (log1p N) in N 3.121 * [taylor]: Rewrote expression to (log (+ 1 N)) 3.121 * [taylor]: Taking taylor expansion of (+ 1 N) in N 3.121 * [taylor]: Taking taylor expansion of 1 in N 3.121 * [backup-simplify]: Simplify 1 into 1 3.121 * [taylor]: Taking taylor expansion of N in N 3.121 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify 1 into 1 3.121 * [backup-simplify]: Simplify (+ 1 0) into 1 3.122 * [backup-simplify]: Simplify (log 1) into 0 3.122 * [backup-simplify]: Simplify (+ 0 1) into 1 3.123 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.123 * [taylor]: Taking taylor expansion of (pow (log1p N) 2) in N 3.124 * [taylor]: Taking taylor expansion of (log1p N) in N 3.124 * [taylor]: Rewrote expression to (log (+ 1 N)) 3.124 * [taylor]: Taking taylor expansion of (+ 1 N) in N 3.124 * [taylor]: Taking taylor expansion of 1 in N 3.124 * [backup-simplify]: Simplify 1 into 1 3.124 * [taylor]: Taking taylor expansion of N in N 3.124 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify 1 into 1 3.124 * [backup-simplify]: Simplify (+ 1 0) into 1 3.125 * [backup-simplify]: Simplify (log 1) into 0 3.125 * [backup-simplify]: Simplify (+ 0 1) into 1 3.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.127 * [backup-simplify]: Simplify (* 1 1) into 1 3.127 * [backup-simplify]: Simplify 1 into 1 3.127 * [backup-simplify]: Simplify (+ 0 0) into 0 3.130 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.130 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 3.130 * [backup-simplify]: Simplify -1 into -1 3.131 * [backup-simplify]: Simplify (+ 0 0) into 0 3.136 * [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 3.137 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* -1/2 -1/2) (* 1/3 1))) into 11/12 3.137 * [backup-simplify]: Simplify 11/12 into 11/12 3.137 * [backup-simplify]: Simplify (+ (* 11/12 (pow N 4)) (+ (* -1 (pow N 3)) (* 1 (pow N 2)))) into (- (+ (* 11/12 (pow N 4)) (pow N 2)) (pow N 3)) 3.138 * [backup-simplify]: Simplify (* (log1p (/ 1 N)) (log1p (/ 1 N))) into (pow (log1p (/ 1 N)) 2) 3.138 * [approximate]: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in (N) around 0 3.138 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in N 3.138 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 3.138 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 3.138 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 3.138 * [taylor]: Taking taylor expansion of 1 in N 3.138 * [backup-simplify]: Simplify 1 into 1 3.138 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.138 * [taylor]: Taking taylor expansion of N in N 3.138 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify 1 into 1 3.138 * [backup-simplify]: Simplify (/ 1 1) into 1 3.139 * [backup-simplify]: Simplify (+ 0 1) into 1 3.139 * [backup-simplify]: Simplify (log 1) into 0 3.139 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.139 * [taylor]: Taking taylor expansion of (pow (log1p (/ 1 N)) 2) in N 3.139 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 3.140 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 3.140 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 3.140 * [taylor]: Taking taylor expansion of 1 in N 3.140 * [backup-simplify]: Simplify 1 into 1 3.140 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.140 * [taylor]: Taking taylor expansion of N in N 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 1 into 1 3.140 * [backup-simplify]: Simplify (/ 1 1) into 1 3.140 * [backup-simplify]: Simplify (+ 0 1) into 1 3.141 * [backup-simplify]: Simplify (log 1) into 0 3.141 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.142 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.142 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.142 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 3.143 * [backup-simplify]: Simplify (pow (log N) 2) into (pow (log N) 2) 3.143 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.144 * [backup-simplify]: Simplify (+ 1 0) into 1 3.145 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.146 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.146 * [backup-simplify]: Simplify (+ (* (- (log N)) 1) (* 1 (- (log N)))) into (- (* 2 (log N))) 3.146 * [backup-simplify]: Simplify (- (* 2 (log N))) into (- (* 2 (log N))) 3.147 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.148 * [backup-simplify]: Simplify (+ 0 0) into 0 3.151 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.152 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.152 * [backup-simplify]: Simplify (+ (* (- (log N)) -1/2) (+ (* 1 1) (* -1/2 (- (log N))))) into (+ (log N) 1) 3.152 * [backup-simplify]: Simplify (+ (log N) 1) into (+ (log N) 1) 3.153 * [backup-simplify]: Simplify (+ (* (+ (log (/ 1 N)) 1) (pow (/ 1 N) 2)) (+ (* (- (* 2 (log (/ 1 N)))) (/ 1 N)) (pow (log (/ 1 N)) 2))) into (- (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))) (* 2 (/ (log (/ 1 N)) N))) 3.153 * [backup-simplify]: Simplify (* (log1p (/ 1 (- N))) (log1p (/ 1 (- N)))) into (pow (log1p (/ -1 N)) 2) 3.153 * [approximate]: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in (N) around 0 3.153 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in N 3.153 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 3.153 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 3.153 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 3.153 * [taylor]: Taking taylor expansion of 1 in N 3.153 * [backup-simplify]: Simplify 1 into 1 3.153 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.153 * [taylor]: Taking taylor expansion of -1 in N 3.153 * [backup-simplify]: Simplify -1 into -1 3.153 * [taylor]: Taking taylor expansion of N in N 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (/ -1 1) into -1 3.154 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.154 * [backup-simplify]: Simplify (log -1) into (log -1) 3.154 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.154 * [taylor]: Taking taylor expansion of (pow (log1p (/ -1 N)) 2) in N 3.154 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 3.154 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 3.154 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 3.154 * [taylor]: Taking taylor expansion of 1 in N 3.155 * [backup-simplify]: Simplify 1 into 1 3.155 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.155 * [taylor]: Taking taylor expansion of -1 in N 3.155 * [backup-simplify]: Simplify -1 into -1 3.155 * [taylor]: Taking taylor expansion of N in N 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 1 into 1 3.155 * [backup-simplify]: Simplify (/ -1 1) into -1 3.155 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.155 * [backup-simplify]: Simplify (log -1) into (log -1) 3.156 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.156 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.157 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.158 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 3.158 * [backup-simplify]: Simplify (pow (- (log -1) (log N)) 2) into (pow (- (log -1) (log N)) 2) 3.158 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.159 * [backup-simplify]: Simplify (+ 1 0) into 1 3.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 3.160 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.161 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1) (* -1 (- (log -1) (log N)))) into (- (* 2 (log N)) (* 2 (log -1))) 3.162 * [backup-simplify]: Simplify (- (* 2 (log N)) (* 2 (log -1))) into (- (* 2 (log N)) (* 2 (log -1))) 3.162 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.163 * [backup-simplify]: Simplify (+ 0 0) into 0 3.165 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 3.165 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.166 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1/2) (+ (* -1 -1) (* -1/2 (- (log -1) (log N))))) into (- (+ (log N) 1) (log -1)) 3.166 * [backup-simplify]: Simplify (- (+ (log N) 1) (log -1)) into (- (+ (log N) 1) (log -1)) 3.168 * [backup-simplify]: Simplify (+ (* (- (+ (log (/ 1 (- N))) 1) (log -1)) (pow (/ 1 (- N)) 2)) (+ (* (- (* 2 (log (/ 1 (- N)))) (* 2 (log -1))) (/ 1 (- N))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) into (- (+ (* 2 (/ (log -1) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ -1 N)) (pow N 2)) (+ (pow (log (/ -1 N)) 2) (pow (log -1) 2))))) (+ (* 2 (* (log (/ -1 N)) (log -1))) (+ (* 2 (/ (log (/ -1 N)) N)) (/ (log -1) (pow N 2))))) 3.168 * * * [progress]: simplifying candidates 3.168 * * * * [progress]: [ 1 / 152 ] simplifiying candidate # 3.168 * * * * [progress]: [ 2 / 152 ] simplifiying candidate # 3.168 * * * * [progress]: [ 3 / 152 ] simplifiying candidate # 3.168 * * * * [progress]: [ 4 / 152 ] simplifiying candidate # 3.168 * * * * [progress]: [ 5 / 152 ] simplifiying candidate # 3.168 * * * * [progress]: [ 6 / 152 ] simplifiying candidate # 3.168 * * * * [progress]: [ 7 / 152 ] simplifiying candidate # 3.168 * * * * [progress]: [ 8 / 152 ] simplifiying candidate # 3.168 * * * * [progress]: [ 9 / 152 ] simplifiying candidate # 3.168 * * * * [progress]: [ 10 / 152 ] simplifiying candidate # 3.168 * * * * [progress]: [ 11 / 152 ] simplifiying candidate # 3.168 * * * * [progress]: [ 12 / 152 ] simplifiying candidate # 3.168 * * * * [progress]: [ 13 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 14 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 15 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 16 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 17 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 18 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 19 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 20 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 21 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 22 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 23 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 24 / 152 ] simplifiying candidate #real (real->posit16 (- (* (log1p N) (log1p N)) (* (log N) (log N))))) (+ (log1p N) (log N))))> 3.169 * * * * [progress]: [ 25 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 26 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 27 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 28 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 29 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 30 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 31 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 32 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 33 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 34 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 35 / 152 ] simplifiying candidate # 3.169 * * * * [progress]: [ 36 / 152 ] simplifiying candidate 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* [progress]: [ 67 / 152 ] simplifiying candidate # 3.171 * * * * [progress]: [ 68 / 152 ] simplifiying candidate # 3.171 * * * * [progress]: [ 69 / 152 ] simplifiying candidate # 3.171 * * * * [progress]: [ 70 / 152 ] simplifiying candidate # 3.171 * * * * [progress]: [ 71 / 152 ] simplifiying candidate # 3.171 * * * * [progress]: [ 72 / 152 ] simplifiying candidate # 3.171 * * * * [progress]: [ 73 / 152 ] simplifiying candidate # 3.171 * * * * [progress]: [ 74 / 152 ] simplifiying candidate # 3.171 * * * * [progress]: [ 75 / 152 ] simplifiying candidate # 3.171 * * * * [progress]: [ 76 / 152 ] simplifiying candidate # 3.171 * * * * [progress]: [ 77 / 152 ] simplifiying candidate # 3.171 * * * * [progress]: [ 78 / 152 ] simplifiying candidate # 3.171 * * * * [progress]: [ 79 / 152 ] simplifiying candidate # 3.171 * * * * [progress]: [ 80 / 152 ] simplifiying candidate # 3.171 * * * * [progress]: [ 81 / 152 ] simplifiying candidate # 3.171 * * * * [progress]: [ 82 / 152 ] simplifiying 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(log N) (log N))) (+ (log1p N) (log N))))))> 3.172 * * * * [progress]: [ 113 / 152 ] simplifiying candidate # 3.172 * * * * [progress]: [ 114 / 152 ] simplifiying candidate # 3.172 * * * * [progress]: [ 115 / 152 ] simplifiying candidate # 3.172 * * * * [progress]: [ 116 / 152 ] simplifiying candidate # 3.173 * * * * [progress]: [ 117 / 152 ] simplifiying candidate # 3.173 * * * * [progress]: [ 118 / 152 ] simplifiying candidate # 3.173 * * * * [progress]: [ 119 / 152 ] simplifiying candidate # 3.173 * * * * [progress]: [ 120 / 152 ] simplifiying candidate # 3.173 * * * * [progress]: [ 121 / 152 ] simplifiying candidate # 3.173 * * * * [progress]: [ 122 / 152 ] simplifiying candidate # 3.173 * * * * [progress]: [ 123 / 152 ] simplifiying candidate # 3.173 * * * * [progress]: [ 124 / 152 ] simplifiying candidate # 3.173 * * * * [progress]: [ 125 / 152 ] simplifiying candidate # 3.173 * * * * [progress]: [ 126 / 152 ] simplifiying candidate # 3.173 * * * * [progress]: [ 127 / 152 ] 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simplifiying candidate # 3.174 * * * * [progress]: [ 142 / 152 ] simplifiying candidate # 3.174 * * * * [progress]: [ 143 / 152 ] simplifiying candidate # 3.174 * * * * [progress]: [ 144 / 152 ] simplifiying candidate # 3.174 * * * * [progress]: [ 145 / 152 ] simplifiying candidate # 3.174 * * * * [progress]: [ 146 / 152 ] simplifiying candidate # 3.174 * * * * [progress]: [ 147 / 152 ] simplifiying candidate # 3.174 * * * * [progress]: [ 148 / 152 ] simplifiying candidate # 3.174 * * * * [progress]: [ 149 / 152 ] simplifiying candidate # 3.174 * * * * [progress]: [ 150 / 152 ] simplifiying candidate # 3.174 * * * * [progress]: [ 151 / 152 ] simplifiying candidate # 3.174 * * * * [progress]: [ 152 / 152 ] simplifiying candidate # 3.176 * [simplify]: Simplifying: (fma (log1p N) (log1p N) (- (* (log N) (log N)))) (fma (- (log N)) (log N) (* (log N) (log N))) (expm1 (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (log1p (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (- (* (log N) (log N))) (/ (exp (* (log1p N) (log1p N))) (exp (* (log N) (log N)))) (log (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (exp (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (* (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N))))) (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (* (* (- (* (log1p N) (log1p N)) (* (log N) (log N))) (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (sqrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (sqrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (- (pow (* (log1p N) (log1p N)) 3) (pow (* (log N) (log N)) 3)) (+ (* (* (log1p N) (log1p N)) (* (log1p N) (log1p N))) (+ (* (* (log N) (log N)) (* (log N) (log N))) (* (* (log1p N) (log1p N)) (* (log N) (log N))))) (- (* (log N) (log N))) (- (* (* (log1p N) (log1p N)) (* (log1p N) (log1p N))) (* (* (log N) (log N)) (* (log N) (log N)))) (+ (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)) (- (log1p N) (log N)) (- (* (log1p N) (log1p N)) (* (log N) (log (* (cbrt N) (cbrt N))))) (- (* (log1p N) (log1p N)) (* (log N) (log (sqrt N)))) (- (* (log1p N) (log1p N)) (* (log N) (log 1))) (- (* (log1p N) (log1p N)) (* (log (* (cbrt N) (cbrt N))) (log N))) (- (* (log1p N) (log1p N)) (* (log (sqrt N)) (log N))) (- (* (log1p N) (log1p N)) (* (log 1) (log N))) (- (* (log N) (log N))) (real->posit16 (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (expm1 (* (log N) (log N))) (log1p (* (log N) (log N))) (+ 1 1) (* (log N) (log N)) (+ 1 1) (+ (log (log N)) (log (log N))) (log (* (log N) (log N))) (exp (* (log N) (log N))) (* (* (* (log N) (log N)) (log N)) (* (* (log N) (log N)) (log N))) (* (cbrt (* (log N) (log N))) (cbrt (* (log N) (log N)))) (cbrt (* (log N) (log N))) (* (* (* (log N) (log N)) (* (log N) (log N))) (* (log N) (log N))) (sqrt (* (log N) (log N))) (sqrt (* (log N) (log N))) (* 1 1) (* (log N) (log N)) (* 1 1) (* (log N) (log N)) (* (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N)))) (* (cbrt (log N)) (cbrt (log N))) (* (sqrt (log N)) (sqrt (log N))) (* (sqrt (log N)) (sqrt (log N))) (* 1 1) (* (log N) (log N)) (* 1 1) (* (log N) (log N)) (* (sqrt (log N)) (sqrt (log N))) (* (sqrt (log N)) (sqrt (log N))) (* 2 1) (* (log N) (log (* (cbrt N) (cbrt N)))) (* (log N) (log (cbrt N))) (* (log N) (log (sqrt N))) (* (log N) (log (sqrt N))) (* (log N) (log 1)) (* (log N) (log N)) (* (log (* (cbrt N) (cbrt N))) (log N)) (* (log (cbrt N)) (log N)) (* (log (sqrt N)) (log N)) (* (log (sqrt N)) (log N)) (* (log 1) (log N)) (* (log N) (log N)) (* (log N) 1) (* (log N) (* (cbrt (log N)) (cbrt (log N)))) (* (log N) (sqrt (log N))) (* (log N) 1) (* (log N) (log N)) (* (cbrt (log N)) (log N)) (* (sqrt (log N)) (log N)) (* (log N) (log N)) (real->posit16 (* (log N) (log N))) (expm1 (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (log1p (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (- (log (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (log (+ (log1p N) (log N)))) (log (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (exp (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (/ (* (* (- (* (log1p N) (log1p N)) (* (log N) (log N))) (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (* (* (+ (log1p N) (log N)) (+ (log1p N) (log N))) (+ (log1p N) (log N)))) (* (cbrt (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (cbrt (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N))))) (cbrt (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (* (* (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N))) (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (sqrt (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (sqrt (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (- (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (- (+ (log1p N) (log N))) (/ (* (log1p N) (log1p N)) (+ (log1p N) (log N))) (/ (* (log N) (log N)) (+ (log1p N) (log N))) (/ (* (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N))))) (* (cbrt (+ (log1p N) (log N))) (cbrt (+ (log1p N) (log N))))) (/ (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (cbrt (+ (log1p N) (log N)))) (/ (* (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N))))) (sqrt (+ (log1p N) (log N)))) (/ (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (sqrt (+ (log1p N) (log N)))) (/ (* (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N))))) 1) (/ (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (+ (log1p N) (log N))) (/ (* (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N))))) 1) (/ (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (+ (log1p N) (log N))) (/ (* (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N))))) 1) (/ (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (+ (log1p N) (log N))) (/ (sqrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (* (cbrt (+ (log1p N) (log N))) (cbrt (+ (log1p N) (log N))))) (/ (sqrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (cbrt (+ (log1p N) (log N)))) (/ (sqrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (sqrt (+ (log1p N) (log N)))) (/ (sqrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (sqrt (+ (log1p N) (log N)))) (/ (sqrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) 1) (/ (sqrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (+ (log1p N) (log N))) (/ (sqrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) 1) (/ (sqrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (+ (log1p N) (log N))) (/ (sqrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) 1) (/ (sqrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (+ (log1p N) (log N))) (/ 1 (* (cbrt (+ (log1p N) (log N))) (cbrt (+ (log1p N) (log N))))) (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (cbrt (+ (log1p N) (log N)))) (/ 1 (sqrt (+ (log1p N) (log N)))) (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (sqrt (+ (log1p N) (log N)))) (/ 1 1) (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N))) (/ 1 1) (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N))) (/ 1 1) (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N))) (/ (+ (log1p N) (log N)) (* (cbrt (+ (log1p N) (log N))) (cbrt (+ (log1p N) (log N))))) (/ (- (log1p N) (log N)) (cbrt (+ (log1p N) (log N)))) (/ (+ (log1p N) (log N)) (sqrt (+ (log1p N) (log N)))) (/ (- (log1p N) (log N)) (sqrt (+ (log1p N) (log N)))) (/ (+ (log1p N) (log 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[simplify]: Extracting #4: cost 440 inf + 160890 4.541 * * [simplify]: Extracting #5: cost 271 inf + 219193 4.619 * * [simplify]: Extracting #6: cost 95 inf + 315436 4.737 * * [simplify]: Extracting #7: cost 21 inf + 395829 4.872 * * [simplify]: Extracting #8: cost 0 inf + 433006 5.023 * * [simplify]: Extracting #9: cost 0 inf + 431794 5.210 * * [simplify]: Extracting #10: cost 0 inf + 431514 5.396 * * [simplify]: Extracting #11: cost 0 inf + 431484 5.541 * [simplify]: Simplified to: (- (* (log1p N) (log1p N)) (* (log N) (log N))) (fma (- (log N)) (log N) (* (log N) (log N))) (expm1 (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (log1p (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (* (log N) (- (log N))) (exp (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (log (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (exp (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (* (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N))))) (cbrt 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(log N)))) (- (* (log1p N) (log1p N)) (* (log N) (log N))) (- (* (log1p N) (log1p N)) (* (log N) (log N))) (- (* (log1p N) (log1p N)) (* (log N) (log N))) (/ (+ (log1p N) (log N)) (cbrt (- (* (log1p N) (log1p N)) (* (log N) (log N))))) (/ (+ (log1p N) (log N)) (sqrt (- (* (log1p N) (log1p N)) (* (log N) (log N))))) (/ (+ (log1p N) (log N)) (- (* (log1p N) (log1p N)) (* (log N) (log N)))) (/ (+ (log1p N) (log N)) (- (log1p N) (log N))) (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (fma (log1p N) (* (log1p N) (log1p N)) (* (log N) (* (log N) (log N))))) 1 (* (+ (log1p N) (log N)) (fma (* (log N) (log N)) (fma (log N) (log N) (* (log1p N) (log1p N))) (* (* (log1p N) (log1p N)) (* (log1p N) (log1p N))))) (* (fma (log N) (log N) (* (log1p N) (log1p N))) (+ (log1p N) (log N))) (real->posit16 (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)))) (expm1 (* (log1p N) (log1p N))) (log1p (* (log1p N) (log1p N))) 2 (* (log1p N) (log1p N)) 2 (+ (log (log1p N)) (log (log1p N))) (+ (log (log1p N)) (log (log1p N))) (exp (* (log1p N) (log1p N))) (* (* (log1p N) (* (log1p N) (log1p N))) (* (log1p N) (* (log1p N) (log1p N)))) (* (cbrt (* (log1p N) (log1p N))) (cbrt (* (log1p N) (log1p N)))) (cbrt (* (log1p N) (log1p N))) (* (* (log1p N) (* (log1p N) (log1p N))) (* (log1p N) (* (log1p N) (log1p N)))) (fabs (log1p N)) (fabs (log1p N)) (* (* (cbrt (log1p N)) (cbrt (log1p N))) (* (cbrt (log1p N)) (cbrt (log1p N)))) (* (cbrt (log1p N)) (cbrt (log1p N))) (log1p N) (log1p N) 1 (* (log1p N) (log1p N)) (log1p N) (log1p N) 2 (* (* (cbrt (log1p N)) (log1p N)) (cbrt (log1p N))) (* (log1p N) (sqrt (log1p N))) (log1p N) (* (cbrt (log1p N)) (log1p N)) (* (log1p N) (sqrt (log1p N))) (* (log1p N) (log1p N)) (real->posit16 (* (log1p N) (log1p N))) (- (* N N) (fma N (* N N) (* (log N) (log N)))) (- (+ (/ (- (log N)) (* N N)) (- (/ 1 (* N N)) (/ (/ 1 N) (* N N)))) (fma (/ (- (log N)) N) 2 (* (/ 2/3 (* N N)) (/ (- (log N)) N)))) (- (+ (fma 2 (/ (log -1) N) (/ 1 (* N N))) (fma (/ (log -1) (* (* N N) N)) 2/3 (/ (log (/ -1 N)) (* N N)))) (+ (/ (/ 1 N) (* N N)) (fma 2/3 (/ (log (/ -1 N)) (* (* N N) N)) (fma (/ (log (/ -1 N)) N) 2 (/ (log -1) (* N N)))))) (* (log N) (log N)) (* (- (log N)) (- (log N))) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N))) (- N (fma (* N N) 1/2 (log N))) (fma (/ (/ 1 N) (* N N)) 1/3 (- (/ 1 N) (/ 1/2 (* N N)))) (+ (fma 2 (/ (/ (log -1) (* (* (* 2 (+ (- (log -1) (log -1)) (log N))) (* 2 (+ (- (log -1) (log -1)) (log N)))) (* 2 (+ (- (log -1) (log -1)) (log N))))) (* (* N N) N)) (+ (fma 2/3 (/ (log -1) (* N (* (* (* N N) 2) (+ (- (log -1) (log -1)) (log N))))) (fma (/ (- (/ (log -1) (* (* 2 (+ (- (log -1) (log -1)) (log N))) (* 2 (+ (- (log -1) (log -1)) (log N))))) (/ (log N) (* (* 2 (+ (- (log -1) (log -1)) (log N))) (* 2 (+ (- (log -1) (log -1)) (log N)))))) (* N N)) 2 (* (/ 2 (* (* N N) N)) (/ (log -1) (* (* 2 (+ (- (log -1) (log -1)) (log N))) (* 2 (+ (- (log -1) (log -1)) (log N)))))))) (fma 2 (/ (/ (log -1) (* 2 (+ (- (log -1) (log -1)) (log N)))) N) (- (/ (log -1) (* (* (* N N) 2) (+ (- (log -1) (log -1)) (log N)))) (/ (log N) (* (* (* N N) 2) (+ (- (log -1) (log -1)) (log N)))))))) (- (/ (/ 1/2 (+ (- (log -1) (log -1)) (log N))) (* N N)) (fma (/ (/ (log -1) (* (* 2 (+ (- (log -1) (log -1)) (log N))) (* 2 (+ (- (log -1) (log -1)) (log N))))) (* N N)) 2 (fma 2 (- (/ (log -1) (* (* N 2) (+ (- (log -1) (log -1)) (log N)))) (/ (log N) (* (* N 2) (+ (- (log -1) (log -1)) (log N))))) (+ (fma (- (/ (log -1) (* N (* (* (* N N) 2) (+ (- (log -1) (log -1)) (log N))))) (/ (log N) (* N (* (* (* N N) 2) (+ (- (log -1) (log -1)) (log N)))))) 2/3 (+ (/ (/ (/ 1/2 (+ (- (log -1) (log -1)) (log N))) (* 2 (+ (- (log -1) (log -1)) (log N)))) (* (* N N) N)) (fma (/ (- (/ (log -1) (* (* (* 2 (+ (- (log -1) (log -1)) (log N))) (* 2 (+ (- (log -1) (log -1)) (log N)))) (* 2 (+ (- (log -1) (log -1)) (log N))))) (/ (log N) (* (* (* 2 (+ (- (log -1) (log -1)) (log N))) (* 2 (+ (- (log -1) (log -1)) (log N)))) (* 2 (+ (- (log -1) (log -1)) (log N)))))) (* (* N N) N)) 2 (fma (- (/ (log -1) (* (* (* N N) N) (* (* 2 (+ (- (log -1) (log -1)) (log N))) (* 2 (+ (- (log -1) (log -1)) (log N)))))) (/ (log N) (* (* (* N N) N) (* (* 2 (+ (- (log -1) (log -1)) (log N))) (* 2 (+ (- (log -1) (log -1)) (log N))))))) 2 (/ (log -1) (* (* (* N N) 2) (+ (- (log -1) (log -1)) (log N)))))))) (/ (/ 1/2 (+ (- (log -1) (log -1)) (log N))) (* (* N N) N))))))) (- (fma 11/12 (* (* N N) (* N N)) (* N N)) (* (* N N) N)) (+ (fma (- (log N)) (- (log N)) (/ (- (log N)) (* N N))) (- (/ 1 (* N N)) (/ 2 (/ N (- (log N)))))) (- (fma 2 (/ (log -1) N) (+ (/ (log (/ -1 N)) (* N N)) (+ (fma (log (/ -1 N)) (log (/ -1 N)) (* (log -1) (log -1))) (/ 1 (* N N))))) (fma 2 (* (log -1) (log (/ -1 N))) (fma (/ (log (/ -1 N)) N) 2 (/ (log -1) (* N N))))) 5.559 * * * [progress]: adding candidates to table 6.773 * * [progress]: iteration 3 / 4 6.773 * * * [progress]: picking best candidate 6.791 * * * * [pick]: Picked # 6.792 * * * [progress]: localizing error 6.809 * * * [progress]: generating rewritten candidates 6.809 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 6.817 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 6.848 * * * [progress]: generating series expansions 6.848 * * * * [progress]: [ 1 / 2 ] generating series at (2) 6.848 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 6.848 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 6.848 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 6.848 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.849 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.849 * [taylor]: Taking taylor expansion of N in N 6.849 * [backup-simplify]: Simplify 0 into 0 6.849 * [backup-simplify]: Simplify 1 into 1 6.849 * [taylor]: Taking taylor expansion of 1 in N 6.849 * [backup-simplify]: Simplify 1 into 1 6.849 * [taylor]: Taking taylor expansion of N in N 6.849 * [backup-simplify]: Simplify 0 into 0 6.849 * [backup-simplify]: Simplify 1 into 1 6.850 * [backup-simplify]: Simplify (+ 0 1) into 1 6.850 * [backup-simplify]: Simplify (/ 1 1) into 1 6.851 * [backup-simplify]: Simplify (log 1) into 0 6.851 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 6.851 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.851 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.851 * [taylor]: Taking taylor expansion of N in N 6.851 * [backup-simplify]: Simplify 0 into 0 6.851 * [backup-simplify]: Simplify 1 into 1 6.851 * [taylor]: Taking taylor expansion of 1 in N 6.851 * [backup-simplify]: Simplify 1 into 1 6.851 * [taylor]: Taking taylor expansion of N in N 6.851 * [backup-simplify]: Simplify 0 into 0 6.851 * [backup-simplify]: Simplify 1 into 1 6.851 * [backup-simplify]: Simplify (+ 0 1) into 1 6.852 * [backup-simplify]: Simplify (/ 1 1) into 1 6.852 * [backup-simplify]: Simplify (log 1) into 0 6.853 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.853 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 6.853 * [backup-simplify]: Simplify (+ 1 0) into 1 6.854 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.855 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.855 * [backup-simplify]: Simplify 1 into 1 6.856 * [backup-simplify]: Simplify (+ 0 0) into 0 6.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.859 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.859 * [backup-simplify]: Simplify -1/2 into -1/2 6.859 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 6.860 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 6.860 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 6.860 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 6.860 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.860 * [taylor]: Taking taylor expansion of N in N 6.860 * [backup-simplify]: Simplify 0 into 0 6.860 * [backup-simplify]: Simplify 1 into 1 6.860 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.860 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.860 * [taylor]: Taking taylor expansion of N in N 6.860 * [backup-simplify]: Simplify 0 into 0 6.860 * [backup-simplify]: Simplify 1 into 1 6.860 * [backup-simplify]: Simplify (/ 1 1) into 1 6.860 * [taylor]: Taking taylor expansion of 1 in N 6.860 * [backup-simplify]: Simplify 1 into 1 6.861 * [backup-simplify]: Simplify (+ 1 0) into 1 6.861 * [backup-simplify]: Simplify (* 0 1) into 0 6.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.863 * [backup-simplify]: Simplify (+ 0 1) into 1 6.863 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.864 * [backup-simplify]: Simplify (log 1) into 0 6.864 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 6.864 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.864 * [taylor]: Taking taylor expansion of N in N 6.864 * [backup-simplify]: Simplify 0 into 0 6.864 * [backup-simplify]: Simplify 1 into 1 6.864 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.864 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.864 * [taylor]: Taking taylor expansion of N in N 6.864 * [backup-simplify]: Simplify 0 into 0 6.864 * [backup-simplify]: Simplify 1 into 1 6.864 * [backup-simplify]: Simplify (/ 1 1) into 1 6.864 * [taylor]: Taking taylor expansion of 1 in N 6.864 * [backup-simplify]: Simplify 1 into 1 6.865 * [backup-simplify]: Simplify (+ 1 0) into 1 6.865 * [backup-simplify]: Simplify (* 0 1) into 0 6.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.866 * [backup-simplify]: Simplify (+ 0 1) into 1 6.867 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.867 * [backup-simplify]: Simplify (log 1) into 0 6.867 * [backup-simplify]: Simplify 0 into 0 6.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.868 * [backup-simplify]: Simplify (+ 0 0) into 0 6.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.870 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.870 * [backup-simplify]: Simplify 1 into 1 6.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.872 * [backup-simplify]: Simplify (+ 0 0) into 0 6.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 6.874 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.874 * [backup-simplify]: Simplify -1/2 into -1/2 6.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.875 * [backup-simplify]: Simplify (+ 0 0) into 0 6.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 6.879 * [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 6.879 * [backup-simplify]: Simplify 1/3 into 1/3 6.879 * [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)))) 6.879 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 6.879 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 6.879 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 6.879 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.879 * [taylor]: Taking taylor expansion of -1 in N 6.879 * [backup-simplify]: Simplify -1 into -1 6.879 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.879 * [taylor]: Taking taylor expansion of N in N 6.879 * [backup-simplify]: Simplify 0 into 0 6.879 * [backup-simplify]: Simplify 1 into 1 6.879 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.879 * [taylor]: Taking taylor expansion of 1 in N 6.879 * [backup-simplify]: Simplify 1 into 1 6.879 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.879 * [taylor]: Taking taylor expansion of N in N 6.879 * [backup-simplify]: Simplify 0 into 0 6.879 * [backup-simplify]: Simplify 1 into 1 6.880 * [backup-simplify]: Simplify (/ 1 1) into 1 6.880 * [backup-simplify]: Simplify (- 1) into -1 6.880 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.881 * [backup-simplify]: Simplify (* 0 -1) into 0 6.881 * [backup-simplify]: Simplify (* -1 0) into 0 6.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.881 * [backup-simplify]: Simplify (- 0) into 0 6.882 * [backup-simplify]: Simplify (+ 1 0) into 1 6.882 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.883 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.883 * [backup-simplify]: Simplify (log 1) into 0 6.883 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 6.883 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.883 * [taylor]: Taking taylor expansion of -1 in N 6.883 * [backup-simplify]: Simplify -1 into -1 6.883 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.883 * [taylor]: Taking taylor expansion of N in N 6.883 * [backup-simplify]: Simplify 0 into 0 6.883 * [backup-simplify]: Simplify 1 into 1 6.883 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.883 * [taylor]: Taking taylor expansion of 1 in N 6.883 * [backup-simplify]: Simplify 1 into 1 6.883 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.883 * [taylor]: Taking taylor expansion of N in N 6.883 * [backup-simplify]: Simplify 0 into 0 6.883 * [backup-simplify]: Simplify 1 into 1 6.883 * [backup-simplify]: Simplify (/ 1 1) into 1 6.884 * [backup-simplify]: Simplify (- 1) into -1 6.884 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.884 * [backup-simplify]: Simplify (* 0 -1) into 0 6.884 * [backup-simplify]: Simplify (* -1 0) into 0 6.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.885 * [backup-simplify]: Simplify (- 0) into 0 6.885 * [backup-simplify]: Simplify (+ 1 0) into 1 6.886 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.886 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.886 * [backup-simplify]: Simplify (log 1) into 0 6.886 * [backup-simplify]: Simplify 0 into 0 6.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.887 * [backup-simplify]: Simplify (- 0) into 0 6.887 * [backup-simplify]: Simplify (+ 0 0) into 0 6.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.889 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 6.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 6.889 * [backup-simplify]: Simplify -1 into -1 6.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.890 * [backup-simplify]: Simplify (- 0) into 0 6.891 * [backup-simplify]: Simplify (+ 0 0) into 0 6.891 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 6.892 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 6.894 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.894 * [backup-simplify]: Simplify -1/2 into -1/2 6.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.894 * [backup-simplify]: Simplify (- 0) into 0 6.895 * [backup-simplify]: Simplify (+ 0 0) into 0 6.896 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 6.896 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 6.899 * [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 6.899 * [backup-simplify]: Simplify -1/3 into -1/3 6.900 * [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)))) 6.900 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 6.900 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 6.900 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 6.900 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.900 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.900 * [taylor]: Taking taylor expansion of N in N 6.900 * [backup-simplify]: Simplify 0 into 0 6.900 * [backup-simplify]: Simplify 1 into 1 6.900 * [taylor]: Taking taylor expansion of 1 in N 6.900 * [backup-simplify]: Simplify 1 into 1 6.900 * [taylor]: Taking taylor expansion of N in N 6.900 * [backup-simplify]: Simplify 0 into 0 6.900 * [backup-simplify]: Simplify 1 into 1 6.900 * [backup-simplify]: Simplify (+ 0 1) into 1 6.901 * [backup-simplify]: Simplify (/ 1 1) into 1 6.901 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.902 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.902 * [taylor]: Taking taylor expansion of N in N 6.902 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify 1 into 1 6.902 * [taylor]: Taking taylor expansion of 1 in N 6.902 * [backup-simplify]: Simplify 1 into 1 6.902 * [taylor]: Taking taylor expansion of N in N 6.902 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify 1 into 1 6.903 * [backup-simplify]: Simplify (+ 0 1) into 1 6.903 * [backup-simplify]: Simplify (/ 1 1) into 1 6.904 * [backup-simplify]: Simplify 1 into 1 6.904 * [backup-simplify]: Simplify (+ 1 0) into 1 6.905 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.905 * [backup-simplify]: Simplify 1 into 1 6.906 * [backup-simplify]: Simplify (+ 0 0) into 0 6.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.906 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify (+ 0 0) into 0 6.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.908 * [backup-simplify]: Simplify 0 into 0 6.909 * [backup-simplify]: Simplify (+ 0 0) into 0 6.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.910 * [backup-simplify]: Simplify 0 into 0 6.911 * [backup-simplify]: Simplify (+ 0 0) into 0 6.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.919 * [backup-simplify]: Simplify 0 into 0 6.920 * [backup-simplify]: Simplify (+ 0 0) into 0 6.921 * [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 6.921 * [backup-simplify]: Simplify 0 into 0 6.921 * [backup-simplify]: Simplify (+ 0 0) into 0 6.923 * [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 6.923 * [backup-simplify]: Simplify 0 into 0 6.923 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 6.923 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 6.923 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 6.923 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.923 * [taylor]: Taking taylor expansion of N in N 6.923 * [backup-simplify]: Simplify 0 into 0 6.923 * [backup-simplify]: Simplify 1 into 1 6.923 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.923 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.923 * [taylor]: Taking taylor expansion of N in N 6.923 * [backup-simplify]: Simplify 0 into 0 6.923 * [backup-simplify]: Simplify 1 into 1 6.924 * [backup-simplify]: Simplify (/ 1 1) into 1 6.924 * [taylor]: Taking taylor expansion of 1 in N 6.924 * [backup-simplify]: Simplify 1 into 1 6.924 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.924 * [taylor]: Taking taylor expansion of N in N 6.924 * [backup-simplify]: Simplify 0 into 0 6.924 * [backup-simplify]: Simplify 1 into 1 6.924 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.924 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.924 * [taylor]: Taking taylor expansion of N in N 6.924 * [backup-simplify]: Simplify 0 into 0 6.924 * [backup-simplify]: Simplify 1 into 1 6.924 * [backup-simplify]: Simplify (/ 1 1) into 1 6.925 * [taylor]: Taking taylor expansion of 1 in N 6.925 * [backup-simplify]: Simplify 1 into 1 6.925 * [backup-simplify]: Simplify (+ 1 0) into 1 6.926 * [backup-simplify]: Simplify (* 0 1) into 0 6.926 * [backup-simplify]: Simplify 0 into 0 6.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.927 * [backup-simplify]: Simplify (+ 0 1) into 1 6.928 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.928 * [backup-simplify]: Simplify 1 into 1 6.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.929 * [backup-simplify]: Simplify (+ 0 0) into 0 6.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.930 * [backup-simplify]: Simplify 1 into 1 6.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.931 * [backup-simplify]: Simplify (+ 0 0) into 0 6.933 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 6.933 * [backup-simplify]: Simplify 0 into 0 6.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.934 * [backup-simplify]: Simplify (+ 0 0) into 0 6.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 6.935 * [backup-simplify]: Simplify 0 into 0 6.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.937 * [backup-simplify]: Simplify (+ 0 0) into 0 6.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 6.938 * [backup-simplify]: Simplify 0 into 0 6.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.940 * [backup-simplify]: Simplify (+ 0 0) into 0 6.941 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 6.941 * [backup-simplify]: Simplify 0 into 0 6.942 * [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 6.943 * [backup-simplify]: Simplify (+ 0 0) into 0 6.944 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 6.944 * [backup-simplify]: Simplify 0 into 0 6.946 * [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 6.946 * [backup-simplify]: Simplify (+ 0 0) into 0 6.948 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 6.948 * [backup-simplify]: Simplify 0 into 0 6.948 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 6.948 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 6.948 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 6.949 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.949 * [taylor]: Taking taylor expansion of -1 in N 6.949 * [backup-simplify]: Simplify -1 into -1 6.949 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.949 * [taylor]: Taking taylor expansion of N in N 6.949 * [backup-simplify]: Simplify 0 into 0 6.949 * [backup-simplify]: Simplify 1 into 1 6.949 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.949 * [taylor]: Taking taylor expansion of 1 in N 6.949 * [backup-simplify]: Simplify 1 into 1 6.949 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.949 * [taylor]: Taking taylor expansion of N in N 6.949 * [backup-simplify]: Simplify 0 into 0 6.949 * [backup-simplify]: Simplify 1 into 1 6.949 * [backup-simplify]: Simplify (/ 1 1) into 1 6.949 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.949 * [taylor]: Taking taylor expansion of -1 in N 6.949 * [backup-simplify]: Simplify -1 into -1 6.949 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.949 * [taylor]: Taking taylor expansion of N in N 6.949 * [backup-simplify]: Simplify 0 into 0 6.949 * [backup-simplify]: Simplify 1 into 1 6.950 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.950 * [taylor]: Taking taylor expansion of 1 in N 6.950 * [backup-simplify]: Simplify 1 into 1 6.950 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.950 * [taylor]: Taking taylor expansion of N in N 6.950 * [backup-simplify]: Simplify 0 into 0 6.950 * [backup-simplify]: Simplify 1 into 1 6.950 * [backup-simplify]: Simplify (/ 1 1) into 1 6.951 * [backup-simplify]: Simplify (- 1) into -1 6.951 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.951 * [backup-simplify]: Simplify (* 0 -1) into 0 6.952 * [backup-simplify]: Simplify (* -1 0) into 0 6.952 * [backup-simplify]: Simplify 0 into 0 6.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.954 * [backup-simplify]: Simplify (- 0) into 0 6.954 * [backup-simplify]: Simplify (+ 1 0) into 1 6.955 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.955 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.955 * [backup-simplify]: Simplify 1 into 1 6.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.957 * [backup-simplify]: Simplify (- 0) into 0 6.957 * [backup-simplify]: Simplify (+ 0 0) into 0 6.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.960 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 6.960 * [backup-simplify]: Simplify -1 into -1 6.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.961 * [backup-simplify]: Simplify (- 0) into 0 6.961 * [backup-simplify]: Simplify (+ 0 0) into 0 6.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 6.964 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 6.964 * [backup-simplify]: Simplify 0 into 0 6.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.966 * [backup-simplify]: Simplify (- 0) into 0 6.966 * [backup-simplify]: Simplify (+ 0 0) into 0 6.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 6.969 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 6.969 * [backup-simplify]: Simplify 0 into 0 6.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.970 * [backup-simplify]: Simplify (- 0) into 0 6.971 * [backup-simplify]: Simplify (+ 0 0) into 0 6.972 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 6.974 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 6.974 * [backup-simplify]: Simplify 0 into 0 6.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.976 * [backup-simplify]: Simplify (- 0) into 0 6.976 * [backup-simplify]: Simplify (+ 0 0) into 0 6.978 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 6.980 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 6.980 * [backup-simplify]: Simplify 0 into 0 6.981 * [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 6.982 * [backup-simplify]: Simplify (- 0) into 0 6.982 * [backup-simplify]: Simplify (+ 0 0) into 0 6.984 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 6.986 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 6.986 * [backup-simplify]: Simplify 0 into 0 6.987 * [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 6.988 * [backup-simplify]: Simplify (- 0) into 0 6.988 * [backup-simplify]: Simplify (+ 0 0) into 0 6.990 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 6.992 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 6.992 * [backup-simplify]: Simplify 0 into 0 6.993 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 6.993 * * * [progress]: simplifying candidates 6.993 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 6.993 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 6.993 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 6.993 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 6.993 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 6.993 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 6.993 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 6.993 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 6.993 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 6.993 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 6.993 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 6.993 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 6.993 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 6.993 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 6.994 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 6.994 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 6.994 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 6.994 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 6.994 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 6.994 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 6.994 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 6.994 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 6.994 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 6.994 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 6.994 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 6.994 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 6.994 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 6.994 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 6.994 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 6.994 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 6.994 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 6.994 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 6.994 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 6.994 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 6.995 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 6.995 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 6.995 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 6.995 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 6.995 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 6.995 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 6.995 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 6.995 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 6.995 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 6.995 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 6.995 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 6.995 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 6.995 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 6.995 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 6.995 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 6.995 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 6.995 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 6.995 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 6.995 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 6.996 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 6.996 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 6.996 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 6.996 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 6.996 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 6.996 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 6.996 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 6.996 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 6.996 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 6.996 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 6.996 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 6.996 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 6.996 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 6.996 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 6.996 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 6.996 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 6.996 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 6.996 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 6.996 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 6.998 * [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) 6.999 * * [simplify]: iteration 1: (106 enodes) 7.041 * * [simplify]: iteration 2: (231 enodes) 7.125 * * [simplify]: iteration 3: (510 enodes) 7.565 * * [simplify]: iteration 4: (1564 enodes) 11.031 * * [simplify]: Extracting #0: cost 68 inf + 0 11.032 * * [simplify]: Extracting #1: cost 593 inf + 2 11.039 * * [simplify]: Extracting #2: cost 1425 inf + 12955 11.083 * * [simplify]: Extracting #3: cost 649 inf + 161663 11.166 * * [simplify]: Extracting #4: cost 124 inf + 323720 11.259 * * [simplify]: Extracting #5: cost 0 inf + 362501 11.352 * * [simplify]: Extracting #6: cost 0 inf + 357079 11.416 * [simplify]: Simplified to: (expm1 (log (+ 1 (/ 1 N)))) (log1p (log (+ 1 (/ 1 N)))) (log (* (cbrt (+ 1 (/ 1 N))) (cbrt (+ 1 (/ 1 N))))) (log (cbrt (+ 1 (/ 1 N)))) (log (sqrt (+ 1 (/ 1 N)))) (log (sqrt (+ 1 (/ 1 N)))) (log (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))) (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (/ (cbrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (+ 1 (/ 1 N))) (* -2 (log (cbrt N))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (+ 1 (/ 1 N))) 0 (log (+ 1 (/ 1 N))) (log1p N) (- (log N)) (log1p N) (log N) (log (+ 1 (/ 1 N))) (log (log (+ 1 (/ 1 N)))) (+ 1 (/ 1 N)) (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (log (+ 1 (/ 1 N))))) (cbrt (log (+ 1 (/ 1 N)))) (* (* (log (+ 1 (/ 1 N))) (log (+ 1 (/ 1 N)))) (log (+ 1 (/ 1 N)))) (sqrt (log (+ 1 (/ 1 N)))) (sqrt (log (+ 1 (/ 1 N)))) (real->posit16 (log (+ 1 (/ 1 N)))) (expm1 (+ 1 (/ 1 N))) (log1p (+ 1 (/ 1 N))) (log (+ 1 (/ 1 N))) (log (+ 1 (/ 1 N))) (exp (+ 1 (/ 1 N))) (* (* (/ (+ N 1) N) (/ (+ N 1) N)) (/ (+ N 1) N)) (* (cbrt (+ 1 (/ 1 N))) (cbrt (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))) (* (* (/ (+ N 1) N) (/ (+ N 1) N)) (/ (+ N 1) N)) (sqrt (+ 1 (/ 1 N))) (sqrt (+ 1 (/ 1 N))) (- -1 N) (- N) (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) (/ (cbrt (+ N 1)) (sqrt N)) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ (cbrt (+ N 1)) N) (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (sqrt (+ N 1)) (/ (sqrt (+ N 1)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (+ 1 (/ 1 N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (+ 1 (/ 1 N)) (/ 1 N) (/ N (+ N 1)) (/ (/ (+ N 1) (cbrt N)) (cbrt N)) (/ (+ N 1) (sqrt N)) (+ N 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (fma (* N N) N (- N (* N N))) (- N (* N N)) (real->posit16 (+ 1 (/ 1 N))) (fma (* N N) -1/2 (- N (log N))) (fma (/ (/ 1 N) N) -1/2 (fma (* (/ 1 N) (* (/ 1 N) (/ 1 N))) 1/3 (/ 1 N))) (fma (/ (/ 1 N) N) -1/2 (fma (* (/ 1 N) (* (/ 1 N) (/ 1 N))) 1/3 (/ 1 N))) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) 11.419 * * * [progress]: adding candidates to table 11.871 * * [progress]: iteration 4 / 4 11.871 * * * [progress]: picking best candidate 11.882 * * * * [pick]: Picked # 11.882 * * * [progress]: localizing error 11.911 * * * [progress]: generating rewritten candidates 11.911 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 11.916 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 11.919 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 11.923 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 11.941 * * * [progress]: generating series expansions 11.941 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 11.941 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 11.941 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 11.941 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 11.941 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 11.941 * [taylor]: Taking taylor expansion of (+ N 1) in N 11.941 * [taylor]: Taking taylor expansion of N in N 11.941 * [backup-simplify]: Simplify 0 into 0 11.941 * [backup-simplify]: Simplify 1 into 1 11.941 * [taylor]: Taking taylor expansion of 1 in N 11.941 * [backup-simplify]: Simplify 1 into 1 11.941 * [taylor]: Taking taylor expansion of N in N 11.941 * [backup-simplify]: Simplify 0 into 0 11.941 * [backup-simplify]: Simplify 1 into 1 11.942 * [backup-simplify]: Simplify (+ 0 1) into 1 11.942 * [backup-simplify]: Simplify (/ 1 1) into 1 11.942 * [backup-simplify]: Simplify (log 1) into 0 11.942 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 11.942 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 11.942 * [taylor]: Taking taylor expansion of (+ N 1) in N 11.942 * [taylor]: Taking taylor expansion of N in N 11.942 * [backup-simplify]: Simplify 0 into 0 11.942 * [backup-simplify]: Simplify 1 into 1 11.942 * [taylor]: Taking taylor expansion of 1 in N 11.942 * [backup-simplify]: Simplify 1 into 1 11.942 * [taylor]: Taking taylor expansion of N in N 11.942 * [backup-simplify]: Simplify 0 into 0 11.942 * [backup-simplify]: Simplify 1 into 1 11.943 * [backup-simplify]: Simplify (+ 0 1) into 1 11.943 * [backup-simplify]: Simplify (/ 1 1) into 1 11.943 * [backup-simplify]: Simplify (log 1) into 0 11.943 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.944 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 11.944 * [backup-simplify]: Simplify (+ 1 0) into 1 11.945 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 11.945 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 11.945 * [backup-simplify]: Simplify 1 into 1 11.946 * [backup-simplify]: Simplify (+ 0 0) into 0 11.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 11.947 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 11.948 * [backup-simplify]: Simplify -1/2 into -1/2 11.948 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 11.948 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 11.948 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 11.948 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 11.948 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 11.948 * [taylor]: Taking taylor expansion of N in N 11.948 * [backup-simplify]: Simplify 0 into 0 11.948 * [backup-simplify]: Simplify 1 into 1 11.948 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 11.948 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.948 * [taylor]: Taking taylor expansion of N in N 11.948 * [backup-simplify]: Simplify 0 into 0 11.948 * [backup-simplify]: Simplify 1 into 1 11.948 * [backup-simplify]: Simplify (/ 1 1) into 1 11.948 * [taylor]: Taking taylor expansion of 1 in N 11.948 * [backup-simplify]: Simplify 1 into 1 11.949 * [backup-simplify]: Simplify (+ 1 0) into 1 11.949 * [backup-simplify]: Simplify (* 0 1) into 0 11.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.950 * [backup-simplify]: Simplify (+ 0 1) into 1 11.951 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 11.951 * [backup-simplify]: Simplify (log 1) into 0 11.951 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 11.951 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 11.951 * [taylor]: Taking taylor expansion of N in N 11.951 * [backup-simplify]: Simplify 0 into 0 11.951 * [backup-simplify]: Simplify 1 into 1 11.951 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 11.951 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.951 * [taylor]: Taking taylor expansion of N in N 11.951 * [backup-simplify]: Simplify 0 into 0 11.951 * [backup-simplify]: Simplify 1 into 1 11.952 * [backup-simplify]: Simplify (/ 1 1) into 1 11.952 * [taylor]: Taking taylor expansion of 1 in N 11.952 * [backup-simplify]: Simplify 1 into 1 11.952 * [backup-simplify]: Simplify (+ 1 0) into 1 11.952 * [backup-simplify]: Simplify (* 0 1) into 0 11.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.954 * [backup-simplify]: Simplify (+ 0 1) into 1 11.954 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 11.955 * [backup-simplify]: Simplify (log 1) into 0 11.955 * [backup-simplify]: Simplify 0 into 0 11.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.956 * [backup-simplify]: Simplify (+ 0 0) into 0 11.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 11.958 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 11.958 * [backup-simplify]: Simplify 1 into 1 11.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.959 * [backup-simplify]: Simplify (+ 0 0) into 0 11.960 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 11.963 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 11.963 * [backup-simplify]: Simplify -1/2 into -1/2 11.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.965 * [backup-simplify]: Simplify (+ 0 0) into 0 11.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 11.971 * [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 11.971 * [backup-simplify]: Simplify 1/3 into 1/3 11.971 * [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)))) 11.971 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 11.971 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 11.971 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 11.972 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 11.972 * [taylor]: Taking taylor expansion of -1 in N 11.972 * [backup-simplify]: Simplify -1 into -1 11.972 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 11.972 * [taylor]: Taking taylor expansion of N in N 11.972 * [backup-simplify]: Simplify 0 into 0 11.972 * [backup-simplify]: Simplify 1 into 1 11.972 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 11.972 * [taylor]: Taking taylor expansion of 1 in N 11.972 * [backup-simplify]: Simplify 1 into 1 11.972 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.972 * [taylor]: Taking taylor expansion of N in N 11.972 * [backup-simplify]: Simplify 0 into 0 11.972 * [backup-simplify]: Simplify 1 into 1 11.972 * [backup-simplify]: Simplify (/ 1 1) into 1 11.973 * [backup-simplify]: Simplify (- 1) into -1 11.973 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.973 * [backup-simplify]: Simplify (* 0 -1) into 0 11.974 * [backup-simplify]: Simplify (* -1 0) into 0 11.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.975 * [backup-simplify]: Simplify (- 0) into 0 11.975 * [backup-simplify]: Simplify (+ 1 0) into 1 11.976 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 11.977 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 11.977 * [backup-simplify]: Simplify (log 1) into 0 11.977 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 11.977 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 11.977 * [taylor]: Taking taylor expansion of -1 in N 11.977 * [backup-simplify]: Simplify -1 into -1 11.977 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 11.977 * [taylor]: Taking taylor expansion of N in N 11.977 * [backup-simplify]: Simplify 0 into 0 11.977 * [backup-simplify]: Simplify 1 into 1 11.977 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 11.977 * [taylor]: Taking taylor expansion of 1 in N 11.977 * [backup-simplify]: Simplify 1 into 1 11.977 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.977 * [taylor]: Taking taylor expansion of N in N 11.977 * [backup-simplify]: Simplify 0 into 0 11.978 * [backup-simplify]: Simplify 1 into 1 11.978 * [backup-simplify]: Simplify (/ 1 1) into 1 11.978 * [backup-simplify]: Simplify (- 1) into -1 11.979 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.979 * [backup-simplify]: Simplify (* 0 -1) into 0 11.980 * [backup-simplify]: Simplify (* -1 0) into 0 11.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.981 * [backup-simplify]: Simplify (- 0) into 0 11.981 * [backup-simplify]: Simplify (+ 1 0) into 1 11.982 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 11.983 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 11.983 * [backup-simplify]: Simplify (log 1) into 0 11.983 * [backup-simplify]: Simplify 0 into 0 11.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.985 * [backup-simplify]: Simplify (- 0) into 0 11.985 * [backup-simplify]: Simplify (+ 0 0) into 0 11.986 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 11.987 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 11.988 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 11.988 * [backup-simplify]: Simplify -1 into -1 11.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.990 * [backup-simplify]: Simplify (- 0) into 0 11.990 * [backup-simplify]: Simplify (+ 0 0) into 0 11.991 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 11.992 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 11.996 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 11.996 * [backup-simplify]: Simplify -1/2 into -1/2 11.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.997 * [backup-simplify]: Simplify (- 0) into 0 11.997 * [backup-simplify]: Simplify (+ 0 0) into 0 11.999 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 12.000 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 12.003 * [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 12.003 * [backup-simplify]: Simplify -1/3 into -1/3 12.003 * [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)))) 12.004 * * * * [progress]: [ 2 / 4 ] generating series at (2) 12.004 * [backup-simplify]: Simplify (exp (log (log (/ (+ 1 N) N)))) into (log (/ (+ N 1) N)) 12.004 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 12.004 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 12.004 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 12.004 * [taylor]: Taking taylor expansion of (+ N 1) in N 12.004 * [taylor]: Taking taylor expansion of N in N 12.004 * [backup-simplify]: Simplify 0 into 0 12.004 * [backup-simplify]: Simplify 1 into 1 12.004 * [taylor]: Taking taylor expansion of 1 in N 12.004 * [backup-simplify]: Simplify 1 into 1 12.004 * [taylor]: Taking taylor expansion of N in N 12.004 * [backup-simplify]: Simplify 0 into 0 12.004 * [backup-simplify]: Simplify 1 into 1 12.004 * [backup-simplify]: Simplify (+ 0 1) into 1 12.004 * [backup-simplify]: Simplify (/ 1 1) into 1 12.005 * [backup-simplify]: Simplify (log 1) into 0 12.005 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 12.005 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 12.005 * [taylor]: Taking taylor expansion of (+ N 1) in N 12.005 * [taylor]: Taking taylor expansion of N in N 12.005 * [backup-simplify]: Simplify 0 into 0 12.005 * [backup-simplify]: Simplify 1 into 1 12.005 * [taylor]: Taking taylor expansion of 1 in N 12.005 * [backup-simplify]: Simplify 1 into 1 12.005 * [taylor]: Taking taylor expansion of N in N 12.005 * [backup-simplify]: Simplify 0 into 0 12.005 * [backup-simplify]: Simplify 1 into 1 12.005 * [backup-simplify]: Simplify (+ 0 1) into 1 12.005 * [backup-simplify]: Simplify (/ 1 1) into 1 12.005 * [backup-simplify]: Simplify (log 1) into 0 12.006 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.006 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 12.006 * [backup-simplify]: Simplify (+ 1 0) into 1 12.007 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 12.007 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 12.007 * [backup-simplify]: Simplify 1 into 1 12.008 * [backup-simplify]: Simplify (+ 0 0) into 0 12.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 12.010 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 12.010 * [backup-simplify]: Simplify -1/2 into -1/2 12.010 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 12.010 * [backup-simplify]: Simplify (exp (log (log (/ (+ 1 (/ 1 N)) (/ 1 N))))) into (log (* N (+ (/ 1 N) 1))) 12.010 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 12.010 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 12.010 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 12.010 * [taylor]: Taking taylor expansion of N in N 12.010 * [backup-simplify]: Simplify 0 into 0 12.010 * [backup-simplify]: Simplify 1 into 1 12.010 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 12.010 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.010 * [taylor]: Taking taylor expansion of N in N 12.010 * [backup-simplify]: Simplify 0 into 0 12.010 * [backup-simplify]: Simplify 1 into 1 12.010 * [backup-simplify]: Simplify (/ 1 1) into 1 12.010 * [taylor]: Taking taylor expansion of 1 in N 12.010 * [backup-simplify]: Simplify 1 into 1 12.011 * [backup-simplify]: Simplify (+ 1 0) into 1 12.011 * [backup-simplify]: Simplify (* 0 1) into 0 12.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.012 * [backup-simplify]: Simplify (+ 0 1) into 1 12.012 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 12.012 * [backup-simplify]: Simplify (log 1) into 0 12.012 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 12.012 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 12.012 * [taylor]: Taking taylor expansion of N in N 12.012 * [backup-simplify]: Simplify 0 into 0 12.012 * [backup-simplify]: Simplify 1 into 1 12.012 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 12.012 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.012 * [taylor]: Taking taylor expansion of N in N 12.012 * [backup-simplify]: Simplify 0 into 0 12.012 * [backup-simplify]: Simplify 1 into 1 12.013 * [backup-simplify]: Simplify (/ 1 1) into 1 12.013 * [taylor]: Taking taylor expansion of 1 in N 12.013 * [backup-simplify]: Simplify 1 into 1 12.013 * [backup-simplify]: Simplify (+ 1 0) into 1 12.013 * [backup-simplify]: Simplify (* 0 1) into 0 12.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.014 * [backup-simplify]: Simplify (+ 0 1) into 1 12.015 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 12.015 * [backup-simplify]: Simplify (log 1) into 0 12.015 * [backup-simplify]: Simplify 0 into 0 12.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.016 * [backup-simplify]: Simplify (+ 0 0) into 0 12.016 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 12.017 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 12.017 * [backup-simplify]: Simplify 1 into 1 12.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.018 * [backup-simplify]: Simplify (+ 0 0) into 0 12.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 12.020 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 12.020 * [backup-simplify]: Simplify -1/2 into -1/2 12.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.021 * [backup-simplify]: Simplify (+ 0 0) into 0 12.021 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 12.024 * [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 12.024 * [backup-simplify]: Simplify 1/3 into 1/3 12.025 * [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)))) 12.025 * [backup-simplify]: Simplify (exp (log (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))))) into (log (* -1 (* N (- 1 (/ 1 N))))) 12.025 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 12.025 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 12.025 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 12.025 * [taylor]: Taking taylor expansion of -1 in N 12.025 * [backup-simplify]: Simplify -1 into -1 12.025 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 12.025 * [taylor]: Taking taylor expansion of N in N 12.025 * [backup-simplify]: Simplify 0 into 0 12.025 * [backup-simplify]: Simplify 1 into 1 12.025 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 12.025 * [taylor]: Taking taylor expansion of 1 in N 12.025 * [backup-simplify]: Simplify 1 into 1 12.025 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.025 * [taylor]: Taking taylor expansion of N in N 12.025 * [backup-simplify]: Simplify 0 into 0 12.025 * [backup-simplify]: Simplify 1 into 1 12.025 * [backup-simplify]: Simplify (/ 1 1) into 1 12.025 * [backup-simplify]: Simplify (- 1) into -1 12.026 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.026 * [backup-simplify]: Simplify (* 0 -1) into 0 12.026 * [backup-simplify]: Simplify (* -1 0) into 0 12.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.027 * [backup-simplify]: Simplify (- 0) into 0 12.027 * [backup-simplify]: Simplify (+ 1 0) into 1 12.028 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 12.028 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 12.028 * [backup-simplify]: Simplify (log 1) into 0 12.028 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 12.028 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 12.028 * [taylor]: Taking taylor expansion of -1 in N 12.028 * [backup-simplify]: Simplify -1 into -1 12.028 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 12.028 * [taylor]: Taking taylor expansion of N in N 12.028 * [backup-simplify]: Simplify 0 into 0 12.028 * [backup-simplify]: Simplify 1 into 1 12.028 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 12.028 * [taylor]: Taking taylor expansion of 1 in N 12.028 * [backup-simplify]: Simplify 1 into 1 12.028 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.028 * [taylor]: Taking taylor expansion of N in N 12.028 * [backup-simplify]: Simplify 0 into 0 12.028 * [backup-simplify]: Simplify 1 into 1 12.029 * [backup-simplify]: Simplify (/ 1 1) into 1 12.029 * [backup-simplify]: Simplify (- 1) into -1 12.029 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.029 * [backup-simplify]: Simplify (* 0 -1) into 0 12.030 * [backup-simplify]: Simplify (* -1 0) into 0 12.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.030 * [backup-simplify]: Simplify (- 0) into 0 12.031 * [backup-simplify]: Simplify (+ 1 0) into 1 12.031 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 12.031 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 12.032 * [backup-simplify]: Simplify (log 1) into 0 12.032 * [backup-simplify]: Simplify 0 into 0 12.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.032 * [backup-simplify]: Simplify (- 0) into 0 12.033 * [backup-simplify]: Simplify (+ 0 0) into 0 12.034 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 12.035 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 12.036 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 12.036 * [backup-simplify]: Simplify -1 into -1 12.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.037 * [backup-simplify]: Simplify (- 0) into 0 12.038 * [backup-simplify]: Simplify (+ 0 0) into 0 12.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 12.040 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 12.043 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 12.043 * [backup-simplify]: Simplify -1/2 into -1/2 12.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.052 * [backup-simplify]: Simplify (- 0) into 0 12.053 * [backup-simplify]: Simplify (+ 0 0) into 0 12.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 12.056 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 12.061 * [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 12.061 * [backup-simplify]: Simplify -1/3 into -1/3 12.062 * [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)))) 12.062 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 12.062 * [backup-simplify]: Simplify (log (log (/ (+ 1 N) N))) into (log (log (/ (+ N 1) N))) 12.062 * [approximate]: Taking taylor expansion of (log (log (/ (+ N 1) N))) in (N) around 0 12.062 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1) N))) in N 12.062 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 12.062 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 12.062 * [taylor]: Taking taylor expansion of (+ N 1) in N 12.062 * [taylor]: Taking taylor expansion of N in N 12.062 * [backup-simplify]: Simplify 0 into 0 12.062 * [backup-simplify]: Simplify 1 into 1 12.062 * [taylor]: Taking taylor expansion of 1 in N 12.062 * [backup-simplify]: Simplify 1 into 1 12.062 * [taylor]: Taking taylor expansion of N in N 12.062 * [backup-simplify]: Simplify 0 into 0 12.063 * [backup-simplify]: Simplify 1 into 1 12.063 * [backup-simplify]: Simplify (+ 0 1) into 1 12.063 * [backup-simplify]: Simplify (/ 1 1) into 1 12.064 * [backup-simplify]: Simplify (log 1) into 0 12.064 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.065 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.065 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 12.065 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1) N))) in N 12.065 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 12.065 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 12.065 * [taylor]: Taking taylor expansion of (+ N 1) in N 12.065 * [taylor]: Taking taylor expansion of N in N 12.065 * [backup-simplify]: Simplify 0 into 0 12.065 * [backup-simplify]: Simplify 1 into 1 12.065 * [taylor]: Taking taylor expansion of 1 in N 12.065 * [backup-simplify]: Simplify 1 into 1 12.065 * [taylor]: Taking taylor expansion of N in N 12.065 * [backup-simplify]: Simplify 0 into 0 12.065 * [backup-simplify]: Simplify 1 into 1 12.065 * [backup-simplify]: Simplify (+ 0 1) into 1 12.067 * [backup-simplify]: Simplify (/ 1 1) into 1 12.067 * [backup-simplify]: Simplify (log 1) into 0 12.068 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.068 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.068 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 12.068 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 12.069 * [backup-simplify]: Simplify (+ 1 0) into 1 12.070 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 12.071 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 12.071 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.072 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) 12.072 * [backup-simplify]: Simplify (/ -1 (log N)) into (/ -1 (log N)) 12.072 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.073 * [backup-simplify]: Simplify (+ 0 0) into 0 12.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 12.076 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 12.077 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.079 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) 12.079 * [backup-simplify]: Simplify (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) 12.079 * [backup-simplify]: Simplify (+ (* (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) (pow N 2)) (+ (* (/ -1 (log N)) N) (log (- (log N))))) into (- (+ (* 1/2 (/ (pow N 2) (log N))) (log (- (log N)))) (+ (/ N (log N)) (* 1/2 (/ (pow N 2) (pow (log N) 2))))) 12.080 * [backup-simplify]: Simplify (log (log (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (log (* N (+ (/ 1 N) 1)))) 12.080 * [approximate]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1)))) in (N) around 0 12.080 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1)))) in N 12.080 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 12.080 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 12.080 * [taylor]: Taking taylor expansion of N in N 12.080 * [backup-simplify]: Simplify 0 into 0 12.080 * [backup-simplify]: Simplify 1 into 1 12.080 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 12.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.080 * [taylor]: Taking taylor expansion of N in N 12.080 * [backup-simplify]: Simplify 0 into 0 12.080 * [backup-simplify]: Simplify 1 into 1 12.080 * [backup-simplify]: Simplify (/ 1 1) into 1 12.080 * [taylor]: Taking taylor expansion of 1 in N 12.080 * [backup-simplify]: Simplify 1 into 1 12.081 * [backup-simplify]: Simplify (+ 1 0) into 1 12.081 * [backup-simplify]: Simplify (* 0 1) into 0 12.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.082 * [backup-simplify]: Simplify (+ 0 1) into 1 12.083 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 12.083 * [backup-simplify]: Simplify (log 1) into 0 12.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.085 * [backup-simplify]: Simplify (+ 0 0) into 0 12.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 12.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 12.087 * [backup-simplify]: Simplify (log 1) into 0 12.087 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1)))) in N 12.087 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 12.087 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 12.087 * [taylor]: Taking taylor expansion of N in N 12.087 * [backup-simplify]: Simplify 0 into 0 12.087 * [backup-simplify]: Simplify 1 into 1 12.087 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 12.087 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.087 * [taylor]: Taking taylor expansion of N in N 12.087 * [backup-simplify]: Simplify 0 into 0 12.088 * [backup-simplify]: Simplify 1 into 1 12.088 * [backup-simplify]: Simplify (/ 1 1) into 1 12.088 * [taylor]: Taking taylor expansion of 1 in N 12.088 * [backup-simplify]: Simplify 1 into 1 12.088 * [backup-simplify]: Simplify (+ 1 0) into 1 12.089 * [backup-simplify]: Simplify (* 0 1) into 0 12.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.090 * [backup-simplify]: Simplify (+ 0 1) into 1 12.091 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 12.091 * [backup-simplify]: Simplify (log 1) into 0 12.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.092 * [backup-simplify]: Simplify (+ 0 0) into 0 12.093 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 12.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 12.095 * [backup-simplify]: Simplify (log 1) into 0 12.095 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.095 * [backup-simplify]: Simplify (log N) into (log N) 12.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.097 * [backup-simplify]: Simplify (+ 0 0) into 0 12.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 12.101 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 12.102 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 12.102 * [backup-simplify]: Simplify -1/2 into -1/2 12.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.103 * [backup-simplify]: Simplify (+ 0 0) into 0 12.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 12.110 * [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 12.113 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 12.113 * [backup-simplify]: Simplify 5/24 into 5/24 12.113 * [backup-simplify]: Simplify (+ (* 5/24 (pow (/ 1 N) 2)) (+ (* -1/2 (/ 1 N)) (log (/ 1 N)))) into (- (+ (* 5/24 (/ 1 (pow N 2))) (log (/ 1 N))) (* 1/2 (/ 1 N))) 12.114 * [backup-simplify]: Simplify (log (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (log (* -1 (* N (- 1 (/ 1 N)))))) 12.114 * [approximate]: Taking taylor expansion of (log (log (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 12.114 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1 (/ 1 N)))))) in N 12.114 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 12.114 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 12.114 * [taylor]: Taking taylor expansion of -1 in N 12.114 * [backup-simplify]: Simplify -1 into -1 12.114 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 12.114 * [taylor]: Taking taylor expansion of N in N 12.114 * [backup-simplify]: Simplify 0 into 0 12.114 * [backup-simplify]: Simplify 1 into 1 12.114 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 12.114 * [taylor]: Taking taylor expansion of 1 in N 12.114 * [backup-simplify]: Simplify 1 into 1 12.114 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.114 * [taylor]: Taking taylor expansion of N in N 12.114 * [backup-simplify]: Simplify 0 into 0 12.114 * [backup-simplify]: Simplify 1 into 1 12.115 * [backup-simplify]: Simplify (/ 1 1) into 1 12.115 * [backup-simplify]: Simplify (- 1) into -1 12.115 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.116 * [backup-simplify]: Simplify (* 0 -1) into 0 12.116 * [backup-simplify]: Simplify (* -1 0) into 0 12.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.118 * [backup-simplify]: Simplify (- 0) into 0 12.118 * [backup-simplify]: Simplify (+ 1 0) into 1 12.119 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 12.120 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 12.120 * [backup-simplify]: Simplify (log 1) into 0 12.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.121 * [backup-simplify]: Simplify (- 0) into 0 12.122 * [backup-simplify]: Simplify (+ 0 0) into 0 12.123 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 12.124 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 12.125 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 12.125 * [backup-simplify]: Simplify (log -1) into (log -1) 12.125 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1 (/ 1 N)))))) in N 12.125 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 12.125 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 12.126 * [taylor]: Taking taylor expansion of -1 in N 12.126 * [backup-simplify]: Simplify -1 into -1 12.126 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 12.126 * [taylor]: Taking taylor expansion of N in N 12.126 * [backup-simplify]: Simplify 0 into 0 12.126 * [backup-simplify]: Simplify 1 into 1 12.126 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 12.126 * [taylor]: Taking taylor expansion of 1 in N 12.126 * [backup-simplify]: Simplify 1 into 1 12.126 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.126 * [taylor]: Taking taylor expansion of N in N 12.126 * [backup-simplify]: Simplify 0 into 0 12.126 * [backup-simplify]: Simplify 1 into 1 12.126 * [backup-simplify]: Simplify (/ 1 1) into 1 12.127 * [backup-simplify]: Simplify (- 1) into -1 12.127 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.127 * [backup-simplify]: Simplify (* 0 -1) into 0 12.128 * [backup-simplify]: Simplify (* -1 0) into 0 12.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.129 * [backup-simplify]: Simplify (- 0) into 0 12.129 * [backup-simplify]: Simplify (+ 1 0) into 1 12.130 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 12.131 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 12.131 * [backup-simplify]: Simplify (log 1) into 0 12.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.132 * [backup-simplify]: Simplify (- 0) into 0 12.133 * [backup-simplify]: Simplify (+ 0 0) into 0 12.133 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 12.134 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 12.135 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 12.135 * [backup-simplify]: Simplify (log -1) into (log -1) 12.135 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 12.136 * [backup-simplify]: Simplify (+ (log N) (log -1)) into (+ (log N) (log -1)) 12.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.137 * [backup-simplify]: Simplify (- 0) into 0 12.137 * [backup-simplify]: Simplify (+ 0 0) into 0 12.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 12.138 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 12.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 12.141 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 12.141 * [backup-simplify]: Simplify 1/2 into 1/2 12.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.141 * [backup-simplify]: Simplify (- 0) into 0 12.142 * [backup-simplify]: Simplify (+ 0 0) into 0 12.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 12.143 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 12.146 * [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 12.148 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 12.148 * [backup-simplify]: Simplify 5/24 into 5/24 12.148 * [backup-simplify]: Simplify (+ (* 5/24 (pow (/ 1 (- N)) 2)) (+ (* 1/2 (/ 1 (- N))) (+ (log (/ 1 (- N))) (log -1)))) into (- (+ (* 5/24 (/ 1 (pow N 2))) (+ (log (/ -1 N)) (log -1))) (* 1/2 (/ 1 N))) 12.148 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 12.148 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 12.148 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 12.148 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 12.148 * [taylor]: Taking taylor expansion of (+ N 1) in N 12.148 * [taylor]: Taking taylor expansion of N in N 12.148 * [backup-simplify]: Simplify 0 into 0 12.149 * [backup-simplify]: Simplify 1 into 1 12.149 * [taylor]: Taking taylor expansion of 1 in N 12.149 * [backup-simplify]: Simplify 1 into 1 12.149 * [taylor]: Taking taylor expansion of N in N 12.149 * [backup-simplify]: Simplify 0 into 0 12.149 * [backup-simplify]: Simplify 1 into 1 12.149 * [backup-simplify]: Simplify (+ 0 1) into 1 12.149 * [backup-simplify]: Simplify (/ 1 1) into 1 12.149 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 12.149 * [taylor]: Taking taylor expansion of (+ N 1) in N 12.149 * [taylor]: Taking taylor expansion of N in N 12.149 * [backup-simplify]: Simplify 0 into 0 12.149 * [backup-simplify]: Simplify 1 into 1 12.149 * [taylor]: Taking taylor expansion of 1 in N 12.149 * [backup-simplify]: Simplify 1 into 1 12.149 * [taylor]: Taking taylor expansion of N in N 12.149 * [backup-simplify]: Simplify 0 into 0 12.149 * [backup-simplify]: Simplify 1 into 1 12.149 * [backup-simplify]: Simplify (+ 0 1) into 1 12.150 * [backup-simplify]: Simplify (/ 1 1) into 1 12.150 * [backup-simplify]: Simplify 1 into 1 12.150 * [backup-simplify]: Simplify (+ 1 0) into 1 12.151 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 12.151 * [backup-simplify]: Simplify 1 into 1 12.151 * [backup-simplify]: Simplify (+ 0 0) into 0 12.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 12.151 * [backup-simplify]: Simplify 0 into 0 12.152 * [backup-simplify]: Simplify (+ 0 0) into 0 12.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.152 * [backup-simplify]: Simplify 0 into 0 12.152 * [backup-simplify]: Simplify (+ 0 0) into 0 12.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.153 * [backup-simplify]: Simplify 0 into 0 12.153 * [backup-simplify]: Simplify (+ 0 0) into 0 12.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.154 * [backup-simplify]: Simplify 0 into 0 12.154 * [backup-simplify]: Simplify (+ 0 0) into 0 12.155 * [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 12.155 * [backup-simplify]: Simplify 0 into 0 12.155 * [backup-simplify]: Simplify (+ 0 0) into 0 12.156 * [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 12.156 * [backup-simplify]: Simplify 0 into 0 12.156 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 12.156 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 12.156 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 12.156 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 12.156 * [taylor]: Taking taylor expansion of N in N 12.156 * [backup-simplify]: Simplify 0 into 0 12.156 * [backup-simplify]: Simplify 1 into 1 12.156 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 12.156 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.156 * [taylor]: Taking taylor expansion of N in N 12.156 * [backup-simplify]: Simplify 0 into 0 12.156 * [backup-simplify]: Simplify 1 into 1 12.156 * [backup-simplify]: Simplify (/ 1 1) into 1 12.156 * [taylor]: Taking taylor expansion of 1 in N 12.156 * [backup-simplify]: Simplify 1 into 1 12.156 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 12.156 * [taylor]: Taking taylor expansion of N in N 12.156 * [backup-simplify]: Simplify 0 into 0 12.156 * [backup-simplify]: Simplify 1 into 1 12.156 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 12.157 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.157 * [taylor]: Taking taylor expansion of N in N 12.157 * [backup-simplify]: Simplify 0 into 0 12.157 * [backup-simplify]: Simplify 1 into 1 12.157 * [backup-simplify]: Simplify (/ 1 1) into 1 12.157 * [taylor]: Taking taylor expansion of 1 in N 12.157 * [backup-simplify]: Simplify 1 into 1 12.157 * [backup-simplify]: Simplify (+ 1 0) into 1 12.158 * [backup-simplify]: Simplify (* 0 1) into 0 12.158 * [backup-simplify]: Simplify 0 into 0 12.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.158 * [backup-simplify]: Simplify (+ 0 1) into 1 12.159 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 12.159 * [backup-simplify]: Simplify 1 into 1 12.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.160 * [backup-simplify]: Simplify (+ 0 0) into 0 12.160 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 12.160 * [backup-simplify]: Simplify 1 into 1 12.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.161 * [backup-simplify]: Simplify (+ 0 0) into 0 12.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 12.162 * [backup-simplify]: Simplify 0 into 0 12.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.163 * [backup-simplify]: Simplify (+ 0 0) into 0 12.164 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 12.164 * [backup-simplify]: Simplify 0 into 0 12.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.164 * [backup-simplify]: Simplify (+ 0 0) into 0 12.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 12.165 * [backup-simplify]: Simplify 0 into 0 12.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.166 * [backup-simplify]: Simplify (+ 0 0) into 0 12.167 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 12.167 * [backup-simplify]: Simplify 0 into 0 12.168 * [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 12.168 * [backup-simplify]: Simplify (+ 0 0) into 0 12.173 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 12.173 * [backup-simplify]: Simplify 0 into 0 12.174 * [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 12.174 * [backup-simplify]: Simplify (+ 0 0) into 0 12.175 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 12.175 * [backup-simplify]: Simplify 0 into 0 12.175 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 12.176 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 12.176 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 12.176 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 12.176 * [taylor]: Taking taylor expansion of -1 in N 12.176 * [backup-simplify]: Simplify -1 into -1 12.176 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 12.176 * [taylor]: Taking taylor expansion of N in N 12.176 * [backup-simplify]: Simplify 0 into 0 12.176 * [backup-simplify]: Simplify 1 into 1 12.176 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 12.176 * [taylor]: Taking taylor expansion of 1 in N 12.176 * [backup-simplify]: Simplify 1 into 1 12.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.176 * [taylor]: Taking taylor expansion of N in N 12.176 * [backup-simplify]: Simplify 0 into 0 12.176 * [backup-simplify]: Simplify 1 into 1 12.176 * [backup-simplify]: Simplify (/ 1 1) into 1 12.176 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 12.176 * [taylor]: Taking taylor expansion of -1 in N 12.176 * [backup-simplify]: Simplify -1 into -1 12.176 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 12.176 * [taylor]: Taking taylor expansion of N in N 12.176 * [backup-simplify]: Simplify 0 into 0 12.176 * [backup-simplify]: Simplify 1 into 1 12.176 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 12.176 * [taylor]: Taking taylor expansion of 1 in N 12.176 * [backup-simplify]: Simplify 1 into 1 12.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.176 * [taylor]: Taking taylor expansion of N in N 12.176 * [backup-simplify]: Simplify 0 into 0 12.176 * [backup-simplify]: Simplify 1 into 1 12.176 * [backup-simplify]: Simplify (/ 1 1) into 1 12.177 * [backup-simplify]: Simplify (- 1) into -1 12.177 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.177 * [backup-simplify]: Simplify (* 0 -1) into 0 12.178 * [backup-simplify]: Simplify (* -1 0) into 0 12.178 * [backup-simplify]: Simplify 0 into 0 12.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.178 * [backup-simplify]: Simplify (- 0) into 0 12.179 * [backup-simplify]: Simplify (+ 1 0) into 1 12.179 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 12.179 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 12.179 * [backup-simplify]: Simplify 1 into 1 12.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.180 * [backup-simplify]: Simplify (- 0) into 0 12.180 * [backup-simplify]: Simplify (+ 0 0) into 0 12.181 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 12.182 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 12.182 * [backup-simplify]: Simplify -1 into -1 12.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.183 * [backup-simplify]: Simplify (- 0) into 0 12.184 * [backup-simplify]: Simplify (+ 0 0) into 0 12.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 12.186 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 12.187 * [backup-simplify]: Simplify 0 into 0 12.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.188 * [backup-simplify]: Simplify (- 0) into 0 12.188 * [backup-simplify]: Simplify (+ 0 0) into 0 12.190 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 12.191 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 12.191 * [backup-simplify]: Simplify 0 into 0 12.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.193 * [backup-simplify]: Simplify (- 0) into 0 12.193 * [backup-simplify]: Simplify (+ 0 0) into 0 12.195 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 12.196 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 12.196 * [backup-simplify]: Simplify 0 into 0 12.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.198 * [backup-simplify]: Simplify (- 0) into 0 12.198 * [backup-simplify]: Simplify (+ 0 0) into 0 12.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 12.202 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 12.202 * [backup-simplify]: Simplify 0 into 0 12.203 * [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 12.204 * [backup-simplify]: Simplify (- 0) into 0 12.204 * [backup-simplify]: Simplify (+ 0 0) into 0 12.207 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 12.209 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 12.209 * [backup-simplify]: Simplify 0 into 0 12.210 * [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 12.210 * [backup-simplify]: Simplify (- 0) into 0 12.211 * [backup-simplify]: Simplify (+ 0 0) into 0 12.213 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 12.216 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 12.216 * [backup-simplify]: Simplify 0 into 0 12.216 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 12.216 * * * [progress]: simplifying candidates 12.216 * * * * [progress]: [ 1 / 113 ] simplifiying candidate # 12.216 * * * * [progress]: [ 2 / 113 ] simplifiying candidate # 12.216 * * * * [progress]: [ 3 / 113 ] simplifiying candidate # 12.216 * * * * [progress]: [ 4 / 113 ] simplifiying candidate # 12.216 * * * * [progress]: [ 5 / 113 ] simplifiying candidate # 12.216 * * * * [progress]: [ 6 / 113 ] simplifiying candidate # 12.216 * * * * [progress]: [ 7 / 113 ] simplifiying candidate # 12.216 * * * * [progress]: [ 8 / 113 ] simplifiying candidate # 12.216 * * * * [progress]: [ 9 / 113 ] simplifiying candidate # 12.216 * * * * [progress]: [ 10 / 113 ] simplifiying candidate # 12.217 * * * * [progress]: [ 11 / 113 ] simplifiying candidate # 12.217 * * * * [progress]: [ 12 / 113 ] simplifiying candidate # 12.217 * * * * [progress]: [ 13 / 113 ] simplifiying candidate # 12.217 * * * * [progress]: [ 14 / 113 ] simplifiying candidate # 12.217 * * * * [progress]: [ 15 / 113 ] simplifiying candidate # 12.217 * * * * [progress]: [ 16 / 113 ] simplifiying candidate # 12.217 * * * * [progress]: [ 17 / 113 ] simplifiying candidate # 12.217 * * * * [progress]: [ 18 / 113 ] simplifiying candidate # 12.217 * * * * [progress]: [ 19 / 113 ] simplifiying candidate # 12.217 * * * * [progress]: [ 20 / 113 ] simplifiying candidate # 12.217 * * * * [progress]: [ 21 / 113 ] simplifiying candidate # 12.217 * * * * [progress]: [ 22 / 113 ] simplifiying candidate # 12.217 * * * * [progress]: [ 23 / 113 ] simplifiying candidate # 12.217 * * * * [progress]: [ 24 / 113 ] simplifiying candidate # 12.217 * * * * [progress]: [ 25 / 113 ] simplifiying candidate # 12.217 * * * * [progress]: [ 26 / 113 ] simplifiying candidate # 12.217 * * * * [progress]: [ 27 / 113 ] simplifiying candidate # 12.218 * * * * [progress]: [ 28 / 113 ] simplifiying candidate # 12.218 * * * * [progress]: [ 29 / 113 ] simplifiying candidate # 12.218 * * * * [progress]: [ 30 / 113 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))))> 12.218 * * * * [progress]: [ 31 / 113 ] simplifiying candidate # 12.218 * * * * [progress]: [ 32 / 113 ] simplifiying candidate # 12.218 * * * * [progress]: [ 33 / 113 ] simplifiying candidate # 12.218 * * * * [progress]: [ 34 / 113 ] simplifiying candidate # 12.218 * * * * [progress]: [ 35 / 113 ] simplifiying candidate # 12.218 * * * * [progress]: [ 36 / 113 ] simplifiying candidate # 12.218 * * * * [progress]: [ 37 / 113 ] simplifiying candidate # 12.218 * * * * [progress]: [ 38 / 113 ] simplifiying candidate # 12.218 * * * * [progress]: [ 39 / 113 ] simplifiying candidate # 12.218 * * * * [progress]: [ 40 / 113 ] simplifiying candidate # 12.218 * * * * [progress]: [ 41 / 113 ] simplifiying candidate # 12.218 * * * * [progress]: [ 42 / 113 ] simplifiying candidate # 12.218 * * * * [progress]: [ 43 / 113 ] simplifiying candidate # 12.218 * * * * [progress]: [ 44 / 113 ] simplifiying candidate # 12.218 * * * * [progress]: [ 45 / 113 ] simplifiying candidate # 12.218 * * * * [progress]: [ 46 / 113 ] simplifiying candidate # 12.219 * * * * [progress]: [ 47 / 113 ] simplifiying candidate # 12.219 * * * * [progress]: [ 48 / 113 ] simplifiying candidate # 12.219 * * * * [progress]: [ 49 / 113 ] simplifiying candidate #real (real->posit16 (exp (log (log (/ (+ 1 N) N)))))))> 12.219 * * * * [progress]: [ 50 / 113 ] simplifiying candidate # 12.219 * * * * [progress]: [ 51 / 113 ] simplifiying candidate # 12.219 * * * * [progress]: [ 52 / 113 ] simplifiying candidate # 12.219 * * * * [progress]: [ 53 / 113 ] simplifiying candidate # 12.219 * * * * [progress]: [ 54 / 113 ] simplifiying candidate # 12.219 * * * * [progress]: [ 55 / 113 ] simplifiying candidate # 12.219 * * * * [progress]: [ 56 / 113 ] simplifiying candidate # 12.219 * * * * [progress]: [ 57 / 113 ] simplifiying candidate # 12.219 * * * * [progress]: [ 58 / 113 ] simplifiying candidate # 12.219 * * * * [progress]: [ 59 / 113 ] simplifiying candidate # 12.219 * * * * [progress]: [ 60 / 113 ] simplifiying candidate # 12.219 * * * * [progress]: [ 61 / 113 ] simplifiying candidate # 12.219 * * * * [progress]: [ 62 / 113 ] simplifiying candidate # 12.219 * * * * [progress]: [ 63 / 113 ] simplifiying candidate # 12.220 * * * * [progress]: [ 64 / 113 ] simplifiying candidate # 12.220 * * * * [progress]: [ 65 / 113 ] simplifiying candidate #real (real->posit16 (log (log (/ (+ 1 N) N)))))))> 12.220 * * * * [progress]: [ 66 / 113 ] simplifiying candidate # 12.220 * * * * [progress]: [ 67 / 113 ] simplifiying candidate # 12.220 * * * * [progress]: [ 68 / 113 ] simplifiying candidate # 12.220 * * * * [progress]: [ 69 / 113 ] simplifiying candidate # 12.220 * * * * [progress]: [ 70 / 113 ] simplifiying candidate # 12.220 * * * * [progress]: [ 71 / 113 ] simplifiying candidate # 12.220 * * * * [progress]: [ 72 / 113 ] simplifiying candidate # 12.220 * * * * [progress]: [ 73 / 113 ] simplifiying candidate # 12.220 * * * * [progress]: [ 74 / 113 ] simplifiying candidate # 12.220 * * * * [progress]: [ 75 / 113 ] simplifiying candidate # 12.220 * * * * [progress]: [ 76 / 113 ] simplifiying candidate # 12.220 * * * * [progress]: [ 77 / 113 ] simplifiying candidate # 12.220 * * * * [progress]: [ 78 / 113 ] simplifiying candidate # 12.220 * * * * [progress]: [ 79 / 113 ] simplifiying candidate # 12.220 * * * * [progress]: [ 80 / 113 ] simplifiying candidate # 12.221 * * * * [progress]: [ 81 / 113 ] simplifiying candidate # 12.221 * * * * [progress]: [ 82 / 113 ] simplifiying candidate # 12.221 * * * * [progress]: [ 83 / 113 ] simplifiying candidate # 12.221 * * * * [progress]: [ 84 / 113 ] simplifiying candidate # 12.221 * * * * [progress]: [ 85 / 113 ] simplifiying candidate # 12.221 * * * * [progress]: [ 86 / 113 ] simplifiying candidate # 12.221 * * * * [progress]: [ 87 / 113 ] simplifiying candidate # 12.221 * * * * [progress]: [ 88 / 113 ] simplifiying candidate # 12.221 * * * * [progress]: [ 89 / 113 ] simplifiying candidate # 12.221 * * * * [progress]: [ 90 / 113 ] simplifiying candidate # 12.221 * * * * [progress]: [ 91 / 113 ] simplifiying candidate # 12.221 * * * * [progress]: [ 92 / 113 ] simplifiying candidate # 12.221 * * * * [progress]: [ 93 / 113 ] simplifiying candidate # 12.221 * * * * [progress]: [ 94 / 113 ] simplifiying candidate # 12.221 * * * * [progress]: [ 95 / 113 ] simplifiying candidate # 12.221 * * * * [progress]: [ 96 / 113 ] simplifiying candidate # 12.221 * * * * [progress]: [ 97 / 113 ] simplifiying candidate # 12.221 * * * * [progress]: [ 98 / 113 ] simplifiying candidate # 12.221 * * * * [progress]: [ 99 / 113 ] simplifiying candidate # 12.222 * * * * [progress]: [ 100 / 113 ] simplifiying candidate # 12.222 * * * * [progress]: [ 101 / 113 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))))> 12.222 * * * * [progress]: [ 102 / 113 ] simplifiying candidate # 12.222 * * * * [progress]: [ 103 / 113 ] simplifiying candidate # 12.222 * * * * [progress]: [ 104 / 113 ] simplifiying candidate # 12.222 * * * * [progress]: [ 105 / 113 ] simplifiying candidate # 12.222 * * * * [progress]: [ 106 / 113 ] simplifiying candidate # 12.222 * * * * [progress]: [ 107 / 113 ] simplifiying candidate # 12.222 * * * * [progress]: [ 108 / 113 ] simplifiying candidate # 12.222 * * * * [progress]: [ 109 / 113 ] simplifiying candidate # 12.222 * * * * [progress]: [ 110 / 113 ] simplifiying candidate # 12.222 * * * * [progress]: [ 111 / 113 ] simplifiying candidate # 12.222 * * * * [progress]: [ 112 / 113 ] simplifiying candidate # 12.222 * * * * [progress]: [ 113 / 113 ] simplifiying candidate # 12.224 * [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 (exp (log (log (/ (+ 1 N) N))))) (log1p (exp (log (log (/ (+ 1 N) N))))) (exp 1) (exp (* (cbrt (log (log (/ (+ 1 N) N)))) (cbrt (log (log (/ (+ 1 N) N)))))) (exp (sqrt (log (log (/ (+ 1 N) N))))) (exp 1) (exp (log 1)) (exp (log (log (/ (+ 1 N) N)))) (exp (log (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))))) (exp (log (cbrt (log (/ (+ 1 N) N))))) (exp (log (sqrt (log (/ (+ 1 N) N))))) (exp (log (sqrt (log (/ (+ 1 N) N))))) (exp (log 1)) (exp (log (log (/ (+ 1 N) N)))) (log (exp (log (log (/ (+ 1 N) N))))) (exp (exp (log (log (/ (+ 1 N) N))))) (* (cbrt (exp (log (log (/ (+ 1 N) N))))) (cbrt (exp (log (log (/ (+ 1 N) N)))))) (cbrt (exp (log (log (/ (+ 1 N) N))))) (* (* (exp (log (log (/ (+ 1 N) N)))) (exp (log (log (/ (+ 1 N) N))))) (exp (log (log (/ (+ 1 N) N))))) (sqrt (exp (log (log (/ (+ 1 N) N))))) (sqrt (exp (log (log (/ (+ 1 N) N))))) (real->posit16 (exp (log (log (/ (+ 1 N) N))))) (expm1 (log (log (/ (+ 1 N) N)))) (log1p (log (log (/ (+ 1 N) N)))) (log 1) (log (log (/ (+ 1 N) N))) (log (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N))))) (log (cbrt (log (/ (+ 1 N) N)))) (log (sqrt (log (/ (+ 1 N) N)))) (log (sqrt (log (/ (+ 1 N) N)))) (log 1) (log (log (/ (+ 1 N) N))) (log (log (/ (+ 1 N) N))) (log (log (log (/ (+ 1 N) N)))) (exp (log (log (/ (+ 1 N) N)))) (* (cbrt (log (log (/ (+ 1 N) N)))) (cbrt (log (log (/ (+ 1 N) N))))) (cbrt (log (log (/ (+ 1 N) N)))) (* (* (log (log (/ (+ 1 N) N))) (log (log (/ (+ 1 N) N)))) (log (log (/ (+ 1 N) N)))) (sqrt (log (log (/ (+ 1 N) N)))) (sqrt (log (log (/ (+ 1 N) N)))) (real->posit16 (log (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)))) (- 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)))) (- (+ (* 1/2 (/ (pow N 2) (log N))) (log (- (log N)))) (+ (/ N (log N)) (* 1/2 (/ (pow N 2) (pow (log N) 2))))) (- (+ (* 5/24 (/ 1 (pow N 2))) (log (/ 1 N))) (* 1/2 (/ 1 N))) (- (+ (* 5/24 (/ 1 (pow N 2))) (+ (log (/ -1 N)) (log -1))) (* 1/2 (/ 1 N))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 12.226 * * [simplify]: iteration 1: (159 enodes) 12.278 * * [simplify]: iteration 2: (330 enodes) 12.449 * * [simplify]: iteration 3: (727 enodes) 13.216 * * [simplify]: Extracting #0: cost 86 inf + 0 13.218 * * [simplify]: Extracting #1: cost 349 inf + 3 13.222 * * [simplify]: Extracting #2: cost 524 inf + 1781 13.235 * * [simplify]: Extracting #3: cost 356 inf + 28664 13.272 * * [simplify]: Extracting #4: cost 66 inf + 91442 13.293 * * [simplify]: Extracting #5: cost 2 inf + 111505 13.326 * * [simplify]: Extracting #6: cost 0 inf + 112030 13.367 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1) N))) (log1p (log (/ (+ N 1) N))) (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (cbrt (+ N 1)) (/ (sqrt N) (cbrt (+ N 1))))) (log (/ (cbrt (+ N 1)) (sqrt N))) (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) (log (/ (cbrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) 0 (log (/ (+ N 1) N)) (log1p N) (- (log N)) (log1p N) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (/ (+ N 1) N) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (log (/ (+ N 1) N)) (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N)))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (expm1 (log (/ (+ N 1) N))) (log1p (log (/ (+ N 1) N))) E (exp (* (cbrt (log (log (/ (+ N 1) N)))) (cbrt (log (log (/ (+ N 1) N)))))) (exp (sqrt (log (log (/ (+ N 1) N))))) E 1 (log (/ (+ N 1) N)) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) 1 (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (/ (+ N 1) N) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (log (/ (+ N 1) N)) (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N)))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ 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1) N)) (sqrt (/ (+ N 1) N)) (- -1 N) (- N) (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (/ (sqrt N) (cbrt (+ N 1)))) (/ (cbrt (+ N 1)) (sqrt N)) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ (cbrt (+ N 1)) N) (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (sqrt (+ N 1)) (/ (sqrt (+ N 1)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (/ (+ N 1) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (+ N 1) (* (cbrt N) (cbrt N))) (/ (+ N 1) (sqrt N)) (+ N 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (fma (- (* N N) N) N N) (* N (- 1 N)) (real->posit16 (/ (+ N 1) N)) (- N (fma (* N N) 1/2 (log N))) (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) (- N (fma (* N N) 1/2 (log N))) (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) (- (fma 1/2 (/ (* N N) (log N)) (log (- (log N)))) (fma (* (/ N (log N)) (/ N (log N))) 1/2 (/ N (log N)))) (- (/ 5/24 (* N N)) (+ (log N) (/ 1/2 N))) (+ (/ 5/24 (* N N)) (+ (- (log -1) (/ 1/2 N)) (log (/ -1 N)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 13.379 * * * [progress]: adding candidates to table 14.379 * [progress]: [Phase 3 of 3] Extracting. 14.380 * * [regime]: Finding splitpoints for: (# # # # # # #) 14.388 * * * [regime-changes]: Trying 1 branch expressions: (N) 14.388 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 14.467 * * * [regime]: Found split indices: #