40.157 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.091 * * * [progress]: [2/2] Setting up program. 0.095 * [progress]: [Phase 2 of 3] Improving. 0.095 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.096 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.096 * * [simplify]: iteration 1: (6 enodes) 0.098 * * [simplify]: iteration 2: (9 enodes) 0.101 * * [simplify]: iteration 3: (11 enodes) 0.104 * * [simplify]: Extracting #0: cost 1 inf + 0 0.104 * * [simplify]: Extracting #1: cost 4 inf + 0 0.104 * * [simplify]: Extracting #2: cost 6 inf + 0 0.104 * * [simplify]: Extracting #3: cost 6 inf + 1 0.104 * * [simplify]: Extracting #4: cost 0 inf + 518 0.104 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.116 * * [progress]: iteration 1 / 4 0.116 * * * [progress]: picking best candidate 0.120 * * * * [pick]: Picked # 0.120 * * * [progress]: localizing error 0.131 * * * [progress]: generating rewritten candidates 0.131 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.137 * * * [progress]: generating series expansions 0.137 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.137 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.138 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.138 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.138 * [taylor]: Taking taylor expansion of (log1p N) in N 0.138 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.138 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.138 * [taylor]: Taking taylor expansion of 1 in N 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of N in N 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (+ 1 0) into 1 0.139 * [backup-simplify]: Simplify (log 1) into 0 0.139 * [taylor]: Taking taylor expansion of (log N) in N 0.139 * [taylor]: Taking taylor expansion of N in N 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (log 1) into 0 0.139 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.139 * [taylor]: Taking taylor expansion of (log1p N) in N 0.139 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.139 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.139 * [taylor]: Taking taylor expansion of 1 in N 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [taylor]: Taking taylor expansion of N in N 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (+ 1 0) into 1 0.140 * [backup-simplify]: Simplify (log 1) into 0 0.140 * [taylor]: Taking taylor expansion of (log N) in N 0.140 * [taylor]: Taking taylor expansion of N in N 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (log 1) into 0 0.140 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.141 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.141 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.141 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.141 * [backup-simplify]: Simplify (+ 0 1) into 1 0.142 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.143 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.143 * [backup-simplify]: Simplify (+ 1 0) into 1 0.143 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.167 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.168 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.168 * [backup-simplify]: Simplify -1/2 into -1/2 0.168 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.169 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 0.169 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 0.169 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.169 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.169 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.169 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.169 * [taylor]: Taking taylor expansion of 1 in N 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [backup-simplify]: Simplify (+ 0 1) into 1 0.172 * [backup-simplify]: Simplify (log 1) into 0 0.172 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.172 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [backup-simplify]: Simplify (log 1) into 0 0.173 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.173 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.173 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.173 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.173 * [taylor]: Taking taylor expansion of 1 in N 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [backup-simplify]: Simplify (+ 0 1) into 1 0.174 * [backup-simplify]: Simplify (log 1) into 0 0.174 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [backup-simplify]: Simplify (log 1) into 0 0.176 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.176 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.176 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.176 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ 1 0) into 1 0.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.182 * [backup-simplify]: Simplify (- 0) into 0 0.182 * [backup-simplify]: Simplify (+ 1 0) into 1 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.187 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.187 * [backup-simplify]: Simplify -1/2 into -1/2 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [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 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.194 * [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 0.195 * [backup-simplify]: Simplify (- 0) into 0 0.195 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.195 * [backup-simplify]: Simplify 1/3 into 1/3 0.195 * [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)))) 0.195 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.195 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.196 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.196 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.196 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.196 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.196 * [taylor]: Taking taylor expansion of 1 in N 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.196 * [taylor]: Taking taylor expansion of -1 in N 0.196 * [backup-simplify]: Simplify -1 into -1 0.196 * [taylor]: Taking taylor expansion of N in N 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (/ -1 1) into -1 0.196 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.197 * [backup-simplify]: Simplify (log -1) into (log -1) 0.197 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.197 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.197 * [taylor]: Taking taylor expansion of -1 in N 0.197 * [backup-simplify]: Simplify -1 into -1 0.197 * [taylor]: Taking taylor expansion of N in N 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (/ -1 1) into -1 0.197 * [backup-simplify]: Simplify (log -1) into (log -1) 0.197 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.197 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.197 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.197 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.197 * [taylor]: Taking taylor expansion of 1 in N 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.197 * [taylor]: Taking taylor expansion of -1 in N 0.197 * [backup-simplify]: Simplify -1 into -1 0.197 * [taylor]: Taking taylor expansion of N in N 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (/ -1 1) into -1 0.198 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.198 * [backup-simplify]: Simplify (log -1) into (log -1) 0.198 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.198 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.198 * [taylor]: Taking taylor expansion of -1 in N 0.198 * [backup-simplify]: Simplify -1 into -1 0.198 * [taylor]: Taking taylor expansion of N in N 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (/ -1 1) into -1 0.199 * [backup-simplify]: Simplify (log -1) into (log -1) 0.199 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.200 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.200 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.201 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ 1 0) into 1 0.202 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.204 * [backup-simplify]: Simplify (- 0) into 0 0.204 * [backup-simplify]: Simplify (+ -1 0) into -1 0.204 * [backup-simplify]: Simplify -1 into -1 0.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [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 (- (/ 0 1) (+ (* -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 0.209 * [backup-simplify]: Simplify (- 0) into 0 0.209 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.210 * [backup-simplify]: Simplify -1/2 into -1/2 0.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 0.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [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 0.225 * [backup-simplify]: Simplify (- 0) into 0 0.225 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.225 * [backup-simplify]: Simplify -1/3 into -1/3 0.226 * [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)))) 0.226 * * * [progress]: simplifying candidates 0.226 * * * * [progress]: [ 1 / 39 ] simplifiying candidate # 0.226 * * * * [progress]: [ 2 / 39 ] simplifiying candidate # 0.226 * * * * [progress]: [ 3 / 39 ] simplifiying candidate # 0.226 * * * * [progress]: [ 4 / 39 ] simplifiying candidate # 0.226 * * * * [progress]: [ 5 / 39 ] simplifiying candidate # 0.226 * * * * [progress]: [ 6 / 39 ] simplifiying candidate # 0.227 * * * * [progress]: [ 7 / 39 ] simplifiying candidate # 0.227 * * * * [progress]: [ 8 / 39 ] simplifiying candidate # 0.227 * * * * [progress]: [ 9 / 39 ] simplifiying candidate # 0.227 * * * * [progress]: [ 10 / 39 ] simplifiying candidate # 0.227 * * * * [progress]: [ 11 / 39 ] simplifiying candidate # 0.227 * * * * [progress]: [ 12 / 39 ] simplifiying candidate # 0.227 * * * * [progress]: [ 13 / 39 ] simplifiying candidate # 0.227 * * * * [progress]: [ 14 / 39 ] simplifiying candidate # 0.227 * * * * [progress]: [ 15 / 39 ] simplifiying candidate # 0.227 * * * * [progress]: [ 16 / 39 ] simplifiying candidate # 0.227 * * * * [progress]: [ 17 / 39 ] simplifiying candidate # 0.227 * * * * [progress]: [ 18 / 39 ] simplifiying candidate # 0.227 * * * * [progress]: [ 19 / 39 ] simplifiying candidate # 0.227 * * * * [progress]: [ 20 / 39 ] simplifiying candidate # 0.227 * * * * [progress]: [ 21 / 39 ] simplifiying candidate # 0.228 * * * * [progress]: [ 22 / 39 ] simplifiying candidate # 0.228 * * * * [progress]: [ 23 / 39 ] simplifiying candidate # 0.228 * * * * [progress]: [ 24 / 39 ] simplifiying candidate # 0.228 * * * * [progress]: [ 25 / 39 ] simplifiying candidate # 0.228 * * * * [progress]: [ 26 / 39 ] simplifiying candidate # 0.228 * * * * [progress]: [ 27 / 39 ] simplifiying candidate # 0.228 * * * * [progress]: [ 28 / 39 ] simplifiying candidate # 0.228 * * * * [progress]: [ 29 / 39 ] simplifiying candidate # 0.228 * * * * [progress]: [ 30 / 39 ] simplifiying candidate # 0.228 * * * * [progress]: [ 31 / 39 ] simplifiying candidate # 0.228 * * * * [progress]: [ 32 / 39 ] simplifiying candidate # 0.228 * * * * [progress]: [ 33 / 39 ] simplifiying candidate # 0.228 * * * * [progress]: [ 34 / 39 ] simplifiying candidate # 0.228 * * * * [progress]: [ 35 / 39 ] simplifiying candidate # 0.228 * * * * [progress]: [ 36 / 39 ] simplifiying candidate # 0.228 * * * * [progress]: [ 37 / 39 ] simplifiying candidate # 0.228 * * * * [progress]: [ 38 / 39 ] simplifiying candidate # 0.228 * * * * [progress]: [ 39 / 39 ] simplifiying candidate # 0.229 * [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)) (- 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)))) 0.231 * * [simplify]: iteration 1: (82 enodes) 0.266 * * [simplify]: iteration 2: (183 enodes) 0.320 * * [simplify]: iteration 3: (369 enodes) 0.577 * * [simplify]: iteration 4: (1009 enodes) 2.730 * * [simplify]: Extracting #0: cost 23 inf + 0 2.732 * * [simplify]: Extracting #1: cost 197 inf + 1 2.737 * * [simplify]: Extracting #2: cost 508 inf + 2432 2.753 * * [simplify]: Extracting #3: cost 399 inf + 43859 2.787 * * [simplify]: Extracting #4: cost 110 inf + 141244 2.832 * * [simplify]: Extracting #5: cost 7 inf + 188453 2.859 * * [simplify]: Extracting #6: cost 0 inf + 190586 2.891 * [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) (+ (log N) (log1p N)))) (- (log N)) (* (+ (log N) (log1p N)) (- (log1p 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)) (- N (fma 1/2 (* N N) (log N))) (+ (fma (/ 1 (* N N)) -1/2 (/ (/ 1/3 N) (* N N))) (/ 1 N)) (+ (fma (/ 1 (* N N)) -1/2 (/ (/ 1/3 N) (* N N))) (/ 1 N)) 2.894 * * * [progress]: adding candidates to table 3.225 * * [progress]: iteration 2 / 4 3.225 * * * [progress]: picking best candidate 3.236 * * * * [pick]: Picked # 3.237 * * * [progress]: localizing error 3.284 * * * [progress]: generating rewritten candidates 3.284 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.284 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 3 1) 3.292 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.308 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 3) 3.329 * * * [progress]: generating series expansions 3.329 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.329 * [backup-simplify]: Simplify (fma (/ 1 (* N N)) -1/2 (/ (/ 1/3 N) (* N N))) into (fma (/ 1 (pow N 2)) -1/2 (/ 1/3 (pow N 3))) 3.329 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (/ 1/3 (pow N 3))) in (N) around 0 3.329 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (/ 1/3 (pow N 3))) in N 3.329 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (/ 1/3 (pow N 3))) 3.329 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 3.329 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.329 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.329 * [taylor]: Taking taylor expansion of N in N 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify 1 into 1 3.330 * [backup-simplify]: Simplify (* 1 1) into 1 3.331 * [backup-simplify]: Simplify (/ 1 1) into 1 3.331 * [taylor]: Taking taylor expansion of -1/2 in N 3.331 * [backup-simplify]: Simplify -1/2 into -1/2 3.331 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 3.331 * [taylor]: Taking taylor expansion of 1/3 in N 3.337 * [backup-simplify]: Simplify 1/3 into 1/3 3.337 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.337 * [taylor]: Taking taylor expansion of N in N 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 1 into 1 3.338 * [backup-simplify]: Simplify (* 1 1) into 1 3.338 * [backup-simplify]: Simplify (* 1 1) into 1 3.339 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 3.339 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (/ 1/3 (pow N 3))) in N 3.339 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (/ 1/3 (pow N 3))) 3.339 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 3.339 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.339 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.339 * [taylor]: Taking taylor expansion of N in N 3.339 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify 1 into 1 3.340 * [backup-simplify]: Simplify (* 1 1) into 1 3.340 * [backup-simplify]: Simplify (/ 1 1) into 1 3.340 * [taylor]: Taking taylor expansion of -1/2 in N 3.340 * [backup-simplify]: Simplify -1/2 into -1/2 3.340 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 3.340 * [taylor]: Taking taylor expansion of 1/3 in N 3.340 * [backup-simplify]: Simplify 1/3 into 1/3 3.340 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.340 * [taylor]: Taking taylor expansion of N in N 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify 1 into 1 3.341 * [backup-simplify]: Simplify (* 1 1) into 1 3.341 * [backup-simplify]: Simplify (* 1 1) into 1 3.341 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 3.342 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 3.342 * [backup-simplify]: Simplify 1/3 into 1/3 3.342 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 3.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 3.346 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.346 * [backup-simplify]: Simplify -1/2 into -1/2 3.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 3.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.351 * [backup-simplify]: Simplify (+ 0 0) into 0 3.351 * [backup-simplify]: Simplify 0 into 0 3.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1/2))) into 0 3.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.358 * [backup-simplify]: Simplify (+ 0 0) into 0 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))) into 0 3.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.362 * [backup-simplify]: Simplify (+ 0 0) into 0 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2))))) into 0 3.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.366 * [backup-simplify]: Simplify (+ 0 0) into 0 3.366 * [backup-simplify]: Simplify 0 into 0 3.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))))) into 0 3.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.371 * [backup-simplify]: Simplify (+ 0 0) into 0 3.371 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2))))))) into 0 3.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.377 * [backup-simplify]: Simplify (+ 0 0) into 0 3.377 * [backup-simplify]: Simplify 0 into 0 3.377 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3))) into (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) 3.378 * [backup-simplify]: Simplify (fma (/ 1 (* (/ 1 N) (/ 1 N))) -1/2 (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N)))) into (fma (pow N 2) -1/2 (* 1/3 (pow N 3))) 3.378 * [approximate]: Taking taylor expansion of (fma (pow N 2) -1/2 (* 1/3 (pow N 3))) in (N) around 0 3.378 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (* 1/3 (pow N 3))) in N 3.378 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (* 1/3 (pow N 3))) 3.378 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 3.378 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.378 * [taylor]: Taking taylor expansion of N in N 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify 1 into 1 3.378 * [taylor]: Taking taylor expansion of -1/2 in N 3.378 * [backup-simplify]: Simplify -1/2 into -1/2 3.378 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 3.378 * [taylor]: Taking taylor expansion of 1/3 in N 3.378 * [backup-simplify]: Simplify 1/3 into 1/3 3.378 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.378 * [taylor]: Taking taylor expansion of N in N 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify 1 into 1 3.378 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (* 1/3 (pow N 3))) in N 3.378 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (* 1/3 (pow N 3))) 3.378 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 3.378 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.378 * [taylor]: Taking taylor expansion of N in N 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify 1 into 1 3.378 * [taylor]: Taking taylor expansion of -1/2 in N 3.378 * [backup-simplify]: Simplify -1/2 into -1/2 3.378 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 3.378 * [taylor]: Taking taylor expansion of 1/3 in N 3.378 * [backup-simplify]: Simplify 1/3 into 1/3 3.378 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.378 * [taylor]: Taking taylor expansion of N in N 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify 1 into 1 3.378 * [backup-simplify]: Simplify (* 1 1) into 1 3.379 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 3.379 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.379 * [backup-simplify]: Simplify -1/2 into -1/2 3.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 3.380 * [backup-simplify]: Simplify (* 1 1) into 1 3.380 * [backup-simplify]: Simplify (* 1 1) into 1 3.381 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 3.381 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 3.381 * [backup-simplify]: Simplify 1/3 into 1/3 3.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1/2))) into 0 3.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.384 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 3.384 * [backup-simplify]: Simplify (+ 0 0) into 0 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))) into 0 3.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.387 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 3.387 * [backup-simplify]: Simplify (+ 0 0) into 0 3.387 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2))))) into 0 3.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.390 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.390 * [backup-simplify]: Simplify (+ 0 0) into 0 3.390 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))))) into 0 3.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.394 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.394 * [backup-simplify]: Simplify (+ 0 0) into 0 3.394 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2))))))) into 0 3.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.398 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.399 * [backup-simplify]: Simplify (+ 0 0) into 0 3.399 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))))))) into 0 3.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.403 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.404 * [backup-simplify]: Simplify (+ 0 0) into 0 3.404 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (* -1/2 (pow (/ 1 N) 2))) into (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) 3.404 * [backup-simplify]: Simplify (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) -1/2 (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N))))) into (fma (pow N 2) -1/2 (* -1/3 (pow N 3))) 3.404 * [approximate]: Taking taylor expansion of (fma (pow N 2) -1/2 (* -1/3 (pow N 3))) in (N) around 0 3.404 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (* -1/3 (pow N 3))) in N 3.404 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (* -1/3 (pow N 3))) 3.404 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 3.404 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.404 * [taylor]: Taking taylor expansion of N in N 3.404 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify 1 into 1 3.404 * [taylor]: Taking taylor expansion of -1/2 in N 3.404 * [backup-simplify]: Simplify -1/2 into -1/2 3.404 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 3.404 * [taylor]: Taking taylor expansion of -1/3 in N 3.404 * [backup-simplify]: Simplify -1/3 into -1/3 3.404 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.404 * [taylor]: Taking taylor expansion of N in N 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 1 into 1 3.405 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (* -1/3 (pow N 3))) in N 3.405 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (* -1/3 (pow N 3))) 3.405 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 3.405 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.405 * [taylor]: Taking taylor expansion of N in N 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 1 into 1 3.405 * [taylor]: Taking taylor expansion of -1/2 in N 3.405 * [backup-simplify]: Simplify -1/2 into -1/2 3.405 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 3.405 * [taylor]: Taking taylor expansion of -1/3 in N 3.405 * [backup-simplify]: Simplify -1/3 into -1/3 3.405 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.405 * [taylor]: Taking taylor expansion of N in N 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 1 into 1 3.405 * [backup-simplify]: Simplify (* 1 1) into 1 3.406 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 3.406 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.406 * [backup-simplify]: Simplify -1/2 into -1/2 3.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 3.408 * [backup-simplify]: Simplify (* 1 1) into 1 3.408 * [backup-simplify]: Simplify (* 1 1) into 1 3.408 * [backup-simplify]: Simplify (* -1/3 1) into -1/3 3.409 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3 3.409 * [backup-simplify]: Simplify -1/3 into -1/3 3.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1/2))) into 0 3.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.413 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 1)) into 0 3.413 * [backup-simplify]: Simplify (+ 0 0) into 0 3.413 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))) into 0 3.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.418 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 1))) into 0 3.419 * [backup-simplify]: Simplify (+ 0 0) into 0 3.419 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2))))) into 0 3.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.425 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.425 * [backup-simplify]: Simplify (+ 0 0) into 0 3.425 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))))) into 0 3.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.432 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.432 * [backup-simplify]: Simplify (+ 0 0) into 0 3.432 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2))))))) into 0 3.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.440 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.440 * [backup-simplify]: Simplify (+ 0 0) into 0 3.440 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))))))) into 0 3.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.451 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.451 * [backup-simplify]: Simplify (+ 0 0) into 0 3.451 * [backup-simplify]: Simplify 0 into 0 3.452 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (* -1/2 (pow (/ 1 (- N)) 2))) into (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) 3.452 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 3 1) 3.452 * [backup-simplify]: Simplify (/ 1/3 N) into (/ 1/3 N) 3.452 * [approximate]: Taking taylor expansion of (/ 1/3 N) in (N) around 0 3.452 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 3.452 * [taylor]: Taking taylor expansion of 1/3 in N 3.452 * [backup-simplify]: Simplify 1/3 into 1/3 3.452 * [taylor]: Taking taylor expansion of N in N 3.452 * [backup-simplify]: Simplify 0 into 0 3.452 * [backup-simplify]: Simplify 1 into 1 3.453 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 3.453 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 3.453 * [taylor]: Taking taylor expansion of 1/3 in N 3.453 * [backup-simplify]: Simplify 1/3 into 1/3 3.453 * [taylor]: Taking taylor expansion of N in N 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify 1 into 1 3.453 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 3.453 * [backup-simplify]: Simplify 1/3 into 1/3 3.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 3.454 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.455 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.456 * [backup-simplify]: Simplify 0 into 0 3.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.457 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.458 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 3.460 * [backup-simplify]: Simplify (/ 1/3 (/ 1 N)) into (* 1/3 N) 3.460 * [approximate]: Taking taylor expansion of (* 1/3 N) in (N) around 0 3.460 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 3.460 * [taylor]: Taking taylor expansion of 1/3 in N 3.460 * [backup-simplify]: Simplify 1/3 into 1/3 3.460 * [taylor]: Taking taylor expansion of N in N 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify 1 into 1 3.460 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 3.460 * [taylor]: Taking taylor expansion of 1/3 in N 3.460 * [backup-simplify]: Simplify 1/3 into 1/3 3.460 * [taylor]: Taking taylor expansion of N in N 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify 1 into 1 3.461 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.461 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.461 * [backup-simplify]: Simplify 1/3 into 1/3 3.462 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 3.462 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.465 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.466 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.467 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 3.468 * [backup-simplify]: Simplify (/ 1/3 (/ 1 (- N))) into (* -1/3 N) 3.468 * [approximate]: Taking taylor expansion of (* -1/3 N) in (N) around 0 3.468 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 3.468 * [taylor]: Taking taylor expansion of -1/3 in N 3.468 * [backup-simplify]: Simplify -1/3 into -1/3 3.468 * [taylor]: Taking taylor expansion of N in N 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify 1 into 1 3.468 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 3.468 * [taylor]: Taking taylor expansion of -1/3 in N 3.468 * [backup-simplify]: Simplify -1/3 into -1/3 3.468 * [taylor]: Taking taylor expansion of N in N 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify 1 into 1 3.468 * [backup-simplify]: Simplify (* -1/3 0) into 0 3.468 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify (+ (* -1/3 1) (* 0 0)) into -1/3 3.469 * [backup-simplify]: Simplify -1/3 into -1/3 3.469 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 1) (* 0 0))) into 0 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.470 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.471 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.472 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.473 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.474 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify (* -1/3 (/ 1 (- N))) into (/ 1/3 N) 3.474 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.474 * [backup-simplify]: Simplify (/ 1 (* N N)) into (/ 1 (pow N 2)) 3.474 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 3.474 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.474 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.474 * [taylor]: Taking taylor expansion of N in N 3.474 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify 1 into 1 3.474 * [backup-simplify]: Simplify (* 1 1) into 1 3.475 * [backup-simplify]: Simplify (/ 1 1) into 1 3.475 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.475 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.475 * [taylor]: Taking taylor expansion of N in N 3.475 * [backup-simplify]: Simplify 0 into 0 3.475 * [backup-simplify]: Simplify 1 into 1 3.475 * [backup-simplify]: Simplify (* 1 1) into 1 3.475 * [backup-simplify]: Simplify (/ 1 1) into 1 3.475 * [backup-simplify]: Simplify 1 into 1 3.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.476 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.477 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.478 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.481 * [backup-simplify]: Simplify 0 into 0 3.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.482 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 3.483 * [backup-simplify]: Simplify (/ 1 (* (/ 1 N) (/ 1 N))) into (pow N 2) 3.483 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 3.483 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.483 * [taylor]: Taking taylor expansion of N in N 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 1 into 1 3.483 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.483 * [taylor]: Taking taylor expansion of N in N 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 1 into 1 3.483 * [backup-simplify]: Simplify (* 1 1) into 1 3.483 * [backup-simplify]: Simplify 1 into 1 3.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.484 * [backup-simplify]: Simplify 0 into 0 3.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.484 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.485 * [backup-simplify]: Simplify 0 into 0 3.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.486 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.487 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 3.487 * [backup-simplify]: Simplify (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) into (pow N 2) 3.487 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 3.487 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.487 * [taylor]: Taking taylor expansion of N in N 3.487 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify 1 into 1 3.487 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.487 * [taylor]: Taking taylor expansion of N in N 3.487 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify 1 into 1 3.488 * [backup-simplify]: Simplify (* 1 1) into 1 3.488 * [backup-simplify]: Simplify 1 into 1 3.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.488 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.489 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.489 * [backup-simplify]: Simplify 0 into 0 3.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.490 * [backup-simplify]: Simplify 0 into 0 3.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.491 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 3.492 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 3) 3.492 * [backup-simplify]: Simplify (/ (/ 1/3 N) (* N N)) into (/ 1/3 (pow N 3)) 3.492 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 3)) in (N) around 0 3.492 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 3.492 * [taylor]: Taking taylor expansion of 1/3 in N 3.492 * [backup-simplify]: Simplify 1/3 into 1/3 3.492 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.492 * [taylor]: Taking taylor expansion of N in N 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify 1 into 1 3.492 * [backup-simplify]: Simplify (* 1 1) into 1 3.493 * [backup-simplify]: Simplify (* 1 1) into 1 3.493 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 3.493 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 3.493 * [taylor]: Taking taylor expansion of 1/3 in N 3.493 * [backup-simplify]: Simplify 1/3 into 1/3 3.493 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.493 * [taylor]: Taking taylor expansion of N in N 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify 1 into 1 3.493 * [backup-simplify]: Simplify (* 1 1) into 1 3.493 * [backup-simplify]: Simplify (* 1 1) into 1 3.494 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 3.494 * [backup-simplify]: Simplify 1/3 into 1/3 3.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 3.495 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.498 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.500 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.505 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 3.505 * [backup-simplify]: Simplify (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N))) into (* 1/3 (pow N 3)) 3.505 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 3)) in (N) around 0 3.505 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 3.505 * [taylor]: Taking taylor expansion of 1/3 in N 3.505 * [backup-simplify]: Simplify 1/3 into 1/3 3.505 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.505 * [taylor]: Taking taylor expansion of N in N 3.505 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify 1 into 1 3.505 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 3.505 * [taylor]: Taking taylor expansion of 1/3 in N 3.505 * [backup-simplify]: Simplify 1/3 into 1/3 3.505 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.505 * [taylor]: Taking taylor expansion of N in N 3.505 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify 1 into 1 3.506 * [backup-simplify]: Simplify (* 1 1) into 1 3.506 * [backup-simplify]: Simplify (* 1 1) into 1 3.506 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 3.506 * [backup-simplify]: Simplify 1/3 into 1/3 3.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.507 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 3.507 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.509 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 3.509 * [backup-simplify]: Simplify 0 into 0 3.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.511 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.511 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.513 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.513 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.515 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.515 * [backup-simplify]: Simplify 0 into 0 3.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.518 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.518 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 3.518 * [backup-simplify]: Simplify (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1/3 (pow N 3)) 3.518 * [approximate]: Taking taylor expansion of (* -1/3 (pow N 3)) in (N) around 0 3.518 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 3.518 * [taylor]: Taking taylor expansion of -1/3 in N 3.518 * [backup-simplify]: Simplify -1/3 into -1/3 3.518 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.518 * [taylor]: Taking taylor expansion of N in N 3.518 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify 1 into 1 3.518 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 3.518 * [taylor]: Taking taylor expansion of -1/3 in N 3.518 * [backup-simplify]: Simplify -1/3 into -1/3 3.518 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.518 * [taylor]: Taking taylor expansion of N in N 3.518 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify 1 into 1 3.519 * [backup-simplify]: Simplify (* 1 1) into 1 3.519 * [backup-simplify]: Simplify (* 1 1) into 1 3.519 * [backup-simplify]: Simplify (* -1/3 1) into -1/3 3.519 * [backup-simplify]: Simplify -1/3 into -1/3 3.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.520 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 1)) into 0 3.520 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.522 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 1))) into 0 3.522 * [backup-simplify]: Simplify 0 into 0 3.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.524 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.524 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.527 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.527 * [backup-simplify]: Simplify 0 into 0 3.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.532 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.532 * [backup-simplify]: Simplify 0 into 0 3.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.537 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (- N)) 3)) into (/ 1/3 (pow N 3)) 3.537 * * * [progress]: simplifying candidates 3.537 * * * * [progress]: [ 1 / 133 ] simplifiying candidate # 3.538 * * * * [progress]: [ 2 / 133 ] simplifiying candidate # 3.538 * * * * [progress]: [ 3 / 133 ] simplifiying candidate # 3.538 * * * * [progress]: [ 4 / 133 ] simplifiying candidate # 3.538 * * * * [progress]: [ 5 / 133 ] simplifiying candidate # 3.538 * * * * [progress]: [ 6 / 133 ] simplifiying candidate # 3.538 * * * * [progress]: [ 7 / 133 ] simplifiying candidate # 3.538 * * * * [progress]: [ 8 / 133 ] simplifiying candidate # 3.538 * * * * [progress]: [ 9 / 133 ] simplifiying candidate # 3.538 * * * * [progress]: [ 10 / 133 ] simplifiying candidate # 3.538 * * * * [progress]: [ 11 / 133 ] simplifiying candidate # 3.538 * * * * [progress]: [ 12 / 133 ] simplifiying candidate # 3.538 * * * * [progress]: [ 13 / 133 ] simplifiying candidate # 3.538 * * * * [progress]: [ 14 / 133 ] simplifiying candidate # 3.538 * * * * [progress]: [ 15 / 133 ] simplifiying candidate # 3.538 * * * * [progress]: [ 16 / 133 ] simplifiying candidate # 3.538 * * * * [progress]: [ 17 / 133 ] simplifiying candidate # 3.539 * * * * [progress]: [ 18 / 133 ] simplifiying candidate # 3.539 * * * * [progress]: [ 19 / 133 ] simplifiying candidate # 3.539 * * * * [progress]: [ 20 / 133 ] simplifiying candidate # 3.539 * * * * [progress]: [ 21 / 133 ] simplifiying candidate # 3.539 * * * * [progress]: [ 22 / 133 ] simplifiying candidate # 3.539 * * * * [progress]: [ 23 / 133 ] simplifiying candidate # 3.539 * * * * [progress]: [ 24 / 133 ] simplifiying candidate # 3.539 * * * * [progress]: [ 25 / 133 ] simplifiying candidate # 3.539 * * * * [progress]: [ 26 / 133 ] simplifiying candidate # 3.539 * * * * [progress]: [ 27 / 133 ] simplifiying candidate # 3.539 * * * * [progress]: [ 28 / 133 ] simplifiying candidate # 3.539 * * * * [progress]: [ 29 / 133 ] simplifiying candidate # 3.539 * * * * [progress]: [ 30 / 133 ] simplifiying candidate # 3.539 * * * * [progress]: [ 31 / 133 ] simplifiying candidate # 3.539 * * * * [progress]: [ 32 / 133 ] simplifiying candidate # 3.539 * * * * [progress]: [ 33 / 133 ] simplifiying candidate # 3.539 * * * * [progress]: [ 34 / 133 ] simplifiying candidate # 3.539 * * * * [progress]: [ 35 / 133 ] simplifiying candidate # 3.540 * * * * [progress]: [ 36 / 133 ] simplifiying candidate # 3.540 * * * * [progress]: [ 37 / 133 ] simplifiying candidate # 3.540 * * * * [progress]: [ 38 / 133 ] simplifiying candidate # 3.540 * * * * [progress]: [ 39 / 133 ] simplifiying candidate # 3.540 * * * * [progress]: [ 40 / 133 ] simplifiying candidate # 3.540 * * * * [progress]: [ 41 / 133 ] simplifiying candidate # 3.540 * * * * [progress]: [ 42 / 133 ] simplifiying candidate # 3.540 * * * * [progress]: [ 43 / 133 ] simplifiying candidate # 3.540 * * * * [progress]: [ 44 / 133 ] simplifiying candidate # 3.540 * * * * [progress]: [ 45 / 133 ] simplifiying candidate # 3.540 * * * * [progress]: [ 46 / 133 ] simplifiying candidate # 3.540 * * * * [progress]: [ 47 / 133 ] simplifiying candidate # 3.540 * * * * [progress]: [ 48 / 133 ] simplifiying candidate # 3.540 * * * * [progress]: [ 49 / 133 ] simplifiying candidate # 3.540 * * * * [progress]: [ 50 / 133 ] simplifiying candidate # 3.540 * * * * [progress]: [ 51 / 133 ] simplifiying candidate # 3.540 * * * * [progress]: [ 52 / 133 ] simplifiying candidate # 3.541 * * * * [progress]: [ 53 / 133 ] simplifiying candidate # 3.541 * * * * [progress]: [ 54 / 133 ] simplifiying candidate # 3.541 * * * * [progress]: [ 55 / 133 ] simplifiying candidate # 3.541 * * * * [progress]: [ 56 / 133 ] simplifiying candidate # 3.541 * * * * [progress]: [ 57 / 133 ] simplifiying candidate # 3.541 * * * * [progress]: [ 58 / 133 ] simplifiying candidate # 3.541 * * * * [progress]: [ 59 / 133 ] simplifiying candidate # 3.541 * * * * [progress]: [ 60 / 133 ] simplifiying candidate # 3.541 * * * * [progress]: [ 61 / 133 ] simplifiying candidate # 3.541 * * * * [progress]: [ 62 / 133 ] simplifiying candidate # 3.541 * * * * [progress]: [ 63 / 133 ] simplifiying candidate # 3.541 * * * * [progress]: [ 64 / 133 ] simplifiying candidate # 3.541 * * * * [progress]: [ 65 / 133 ] simplifiying candidate # 3.541 * * * * [progress]: [ 66 / 133 ] simplifiying candidate # 3.541 * * * * [progress]: [ 67 / 133 ] simplifiying candidate # 3.541 * * * * [progress]: [ 68 / 133 ] simplifiying candidate # 3.542 * * * * [progress]: [ 69 / 133 ] simplifiying candidate # 3.542 * * * * [progress]: [ 70 / 133 ] simplifiying candidate # 3.542 * * * * [progress]: [ 71 / 133 ] simplifiying candidate # 3.542 * * * * [progress]: [ 72 / 133 ] simplifiying candidate # 3.542 * * * * [progress]: [ 73 / 133 ] simplifiying candidate # 3.542 * * * * [progress]: [ 74 / 133 ] simplifiying candidate # 3.542 * * * * [progress]: [ 75 / 133 ] simplifiying candidate # 3.542 * * * * [progress]: [ 76 / 133 ] simplifiying candidate # 3.542 * * * * [progress]: [ 77 / 133 ] simplifiying candidate # 3.542 * * * * [progress]: [ 78 / 133 ] simplifiying candidate # 3.542 * * * * [progress]: [ 79 / 133 ] simplifiying candidate # 3.542 * * * * [progress]: [ 80 / 133 ] simplifiying candidate # 3.543 * * * * [progress]: [ 81 / 133 ] simplifiying candidate # 3.543 * * * * [progress]: [ 82 / 133 ] simplifiying candidate # 3.543 * * * * [progress]: [ 83 / 133 ] simplifiying candidate # 3.543 * * * * [progress]: [ 84 / 133 ] simplifiying candidate # 3.543 * * * * [progress]: [ 85 / 133 ] simplifiying candidate # 3.543 * * * * [progress]: [ 86 / 133 ] simplifiying candidate # 3.543 * * * * [progress]: [ 87 / 133 ] simplifiying candidate # 3.543 * * * * [progress]: [ 88 / 133 ] simplifiying candidate # 3.543 * * * * [progress]: [ 89 / 133 ] simplifiying candidate # 3.543 * * * * [progress]: [ 90 / 133 ] simplifiying candidate # 3.543 * * * * [progress]: [ 91 / 133 ] simplifiying candidate # 3.543 * * * * [progress]: [ 92 / 133 ] simplifiying candidate # 3.543 * * * * [progress]: [ 93 / 133 ] simplifiying candidate # 3.543 * * * * [progress]: [ 94 / 133 ] simplifiying candidate # 3.543 * * * * [progress]: [ 95 / 133 ] simplifiying candidate # 3.543 * * * * [progress]: [ 96 / 133 ] simplifiying candidate # 3.544 * * * * [progress]: [ 97 / 133 ] simplifiying candidate # 3.544 * * * * [progress]: [ 98 / 133 ] simplifiying candidate # 3.544 * * * * [progress]: [ 99 / 133 ] simplifiying candidate # 3.544 * * * * [progress]: [ 100 / 133 ] simplifiying candidate # 3.544 * * * * [progress]: [ 101 / 133 ] simplifiying candidate # 3.544 * * * * [progress]: [ 102 / 133 ] simplifiying candidate # 3.544 * * * * [progress]: [ 103 / 133 ] simplifiying candidate # 3.544 * * * * [progress]: [ 104 / 133 ] simplifiying candidate # 3.544 * * * * [progress]: [ 105 / 133 ] simplifiying candidate # 3.544 * * * * [progress]: [ 106 / 133 ] simplifiying candidate # 3.544 * * * * [progress]: [ 107 / 133 ] simplifiying candidate # 3.544 * * * * [progress]: [ 108 / 133 ] simplifiying candidate # 3.544 * * * * [progress]: [ 109 / 133 ] simplifiying candidate # 3.544 * * * * [progress]: [ 110 / 133 ] simplifiying candidate # 3.544 * * * * [progress]: [ 111 / 133 ] simplifiying candidate # 3.545 * * * * [progress]: [ 112 / 133 ] simplifiying candidate # 3.545 * * * * [progress]: [ 113 / 133 ] simplifiying candidate # 3.545 * * * * [progress]: [ 114 / 133 ] simplifiying candidate # 3.545 * * * * [progress]: [ 115 / 133 ] simplifiying candidate # 3.545 * * * * [progress]: [ 116 / 133 ] simplifiying candidate # 3.545 * * * * [progress]: [ 117 / 133 ] simplifiying candidate # 3.545 * * * * [progress]: [ 118 / 133 ] simplifiying candidate # 3.545 * * * * [progress]: [ 119 / 133 ] simplifiying candidate # 3.545 * * * * [progress]: [ 120 / 133 ] simplifiying candidate # 3.545 * * * * [progress]: [ 121 / 133 ] simplifiying candidate # 3.545 * * * * [progress]: [ 122 / 133 ] simplifiying candidate # 3.545 * * * * [progress]: [ 123 / 133 ] simplifiying candidate # 3.545 * * * * [progress]: [ 124 / 133 ] simplifiying candidate # 3.545 * * * * [progress]: [ 125 / 133 ] simplifiying candidate # 3.545 * * * * [progress]: [ 126 / 133 ] simplifiying candidate # 3.545 * * * * [progress]: [ 127 / 133 ] simplifiying candidate # 3.545 * * * * [progress]: [ 128 / 133 ] simplifiying candidate # 3.545 * * * * [progress]: [ 129 / 133 ] simplifiying candidate # 3.546 * * * * [progress]: [ 130 / 133 ] simplifiying candidate # 3.546 * * * * [progress]: [ 131 / 133 ] simplifiying candidate # 3.546 * * * * [progress]: [ 132 / 133 ] simplifiying candidate # 3.546 * * * * [progress]: [ 133 / 133 ] simplifiying candidate # 3.550 * [simplify]: Simplifying: (expm1 (fma (/ 1 (* N N)) -1/2 (/ (/ 1/3 N) (* N N)))) (log1p (fma (/ 1 (* N N)) -1/2 (/ (/ 1/3 N) (* N N)))) (* (/ 1 (* N N)) -1/2) (log (fma (/ 1 (* N N)) -1/2 (/ (/ 1/3 N) (* N N)))) (exp (fma (/ 1 (* N N)) -1/2 (/ (/ 1/3 N) (* N N)))) (* (cbrt (fma (/ 1 (* N N)) -1/2 (/ (/ 1/3 N) (* N N)))) (cbrt (fma (/ 1 (* N N)) -1/2 (/ (/ 1/3 N) (* N N))))) (cbrt (fma (/ 1 (* N N)) -1/2 (/ (/ 1/3 N) (* N N)))) (* (* (fma (/ 1 (* N N)) -1/2 (/ (/ 1/3 N) (* N N))) (fma (/ 1 (* N N)) -1/2 (/ (/ 1/3 N) (* N N)))) (fma (/ 1 (* N N)) -1/2 (/ (/ 1/3 N) (* N N)))) (sqrt (fma (/ 1 (* N N)) -1/2 (/ (/ 1/3 N) (* N N)))) (sqrt (fma (/ 1 (* N N)) -1/2 (/ (/ 1/3 N) (* N N)))) (expm1 (/ 1/3 N)) (log1p (/ 1/3 N)) (- (log 1/3) (log N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (/ (* (* 1/3 1/3) 1/3) (* (* N N) N)) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) (- 1/3) (- N) (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) 1) (/ (cbrt 1/3) N) (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) 1) (/ (sqrt 1/3) N) (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) (/ 1 1) (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ 1/3 (* (cbrt N) (cbrt N))) (/ 1/3 (sqrt N)) (/ 1/3 1) (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (expm1 (/ 1 (* N N))) (log1p (/ 1 (* N N))) (- (+ 1 1)) (- 1) (- 2) (- (+ 1 1)) (- 1) (- (* 2 1)) (- (+ (log N) (log N))) (- (log (* N N))) (- 0 (+ (log N) (log N))) (- 0 (log (* N N))) (- (log 1) (+ (log N) (log N))) (- (log 1) (log (* N N))) (log (/ 1 (* N N))) (exp (/ 1 (* N N))) (/ (* (* 1 1) 1) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 1 1) 1) (* (* (* N N) (* 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) (cbrt 1)) N) (/ (cbrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ 1 N) (/ 1 N) (/ 1 (* N N)) (/ (* N N) 1) (/ 1 N) (/ (* N N) (cbrt 1)) (/ (* N N) (sqrt 1)) (/ (* N N) 1) (expm1 (/ (/ 1/3 N) (* N N))) (log1p (/ (/ 1/3 N) (* N N))) (- (- (log 1/3) (log N)) (+ (log N) (log N))) (- (- (log 1/3) (log N)) (log (* N N))) (- (log (/ 1/3 N)) (+ (log N) (log N))) (- (log (/ 1/3 N)) (log (* N N))) (log (/ (/ 1/3 N) (* N N))) (exp (/ (/ 1/3 N) (* N N))) (/ (/ (* (* 1/3 1/3) 1/3) (* (* N N) N)) (* (* (* N N) N) (* (* N N) N))) (/ (/ (* (* 1/3 1/3) 1/3) (* (* N N) N)) (* (* (* N N) (* N N)) (* N N))) (/ (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (* (* (* N N) N) (* (* N N) N))) (/ (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ (/ 1/3 N) (* N N))) (cbrt (/ (/ 1/3 N) (* N N)))) (cbrt (/ (/ 1/3 N) (* N N))) (* (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N))) (sqrt (/ (/ 1/3 N) (* N N))) (sqrt (/ (/ 1/3 N) (* N N))) (- (/ 1/3 N)) (- (* N N)) (/ (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) N) (/ (cbrt (/ 1/3 N)) N) (/ (sqrt (/ 1/3 N)) N) (/ (sqrt (/ 1/3 N)) N) (/ (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) N) (/ (/ (cbrt 1/3) (cbrt N)) N) (/ (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) N) (/ (/ (cbrt 1/3) (sqrt N)) N) (/ (/ (* (cbrt 1/3) (cbrt 1/3)) 1) N) (/ (/ (cbrt 1/3) N) N) (/ (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) N) (/ (/ (sqrt 1/3) (cbrt N)) N) (/ (/ (sqrt 1/3) (sqrt N)) N) (/ (/ (sqrt 1/3) (sqrt N)) N) (/ (/ (sqrt 1/3) 1) N) (/ (/ (sqrt 1/3) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) N) (/ (/ 1/3 (cbrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 1/3 (sqrt N)) N) (/ (/ 1 1) N) (/ (/ 1/3 N) N) (/ 1 N) (/ (/ 1/3 N) N) (/ 1/3 N) (/ (/ 1 N) N) (/ 1 (* N N)) (/ (* N N) (/ 1/3 N)) (/ (/ 1/3 N) N) (/ (* N N) (cbrt (/ 1/3 N))) (/ (* N N) (sqrt (/ 1/3 N))) (/ (* N N) (/ (cbrt 1/3) (cbrt N))) (/ (* N N) (/ (cbrt 1/3) (sqrt N))) (/ (* N N) (/ (cbrt 1/3) N)) (/ (* N N) (/ (sqrt 1/3) (cbrt N))) (/ (* N N) (/ (sqrt 1/3) (sqrt N))) (/ (* N N) (/ (sqrt 1/3) N)) (/ (* N N) (/ 1/3 (cbrt N))) (/ (* N N) (/ 1/3 (sqrt N))) (/ (* N N) (/ 1/3 N)) (/ (* N N) (/ 1/3 N)) (/ (* N N) (/ 1 N)) (* (* N N) N) (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) 3.553 * * [simplify]: iteration 1: (169 enodes) 3.638 * * [simplify]: iteration 2: (369 enodes) 3.846 * * [simplify]: iteration 3: (941 enodes) 6.212 * * [simplify]: Extracting #0: cost 96 inf + 0 6.215 * * [simplify]: Extracting #1: cost 584 inf + 46 6.228 * * [simplify]: Extracting #2: cost 822 inf + 21302 6.273 * * [simplify]: Extracting #3: cost 400 inf + 104800 6.340 * * [simplify]: Extracting #4: cost 77 inf + 192384 6.389 * * [simplify]: Extracting #5: cost 0 inf + 217997 6.450 * * [simplify]: Extracting #6: cost 0 inf + 217797 6.531 * [simplify]: Simplified to: (expm1 (+ (/ (/ (/ 1/3 N) N) N) (/ (/ -1/2 N) N))) (log1p (+ (/ (/ (/ 1/3 N) N) N) (/ (/ -1/2 N) N))) (/ (/ -1/2 N) N) (log (+ (/ (/ (/ 1/3 N) N) N) (/ (/ -1/2 N) N))) (exp (+ (/ (/ -1/2 N) N) (/ (/ (/ 1/3 N) N) N))) (* (cbrt (+ (/ (/ (/ 1/3 N) N) N) (/ (/ -1/2 N) N))) (cbrt (+ (/ (/ (/ 1/3 N) N) N) (/ (/ -1/2 N) N)))) (cbrt (+ (/ (/ (/ 1/3 N) N) N) (/ (/ -1/2 N) N))) (* (* (+ (/ (/ (/ 1/3 N) N) N) (/ (/ -1/2 N) N)) (+ (/ (/ (/ 1/3 N) N) N) (/ (/ -1/2 N) N))) (+ (/ (/ (/ 1/3 N) N) N) (/ (/ -1/2 N) N))) (sqrt (+ (/ (/ (/ 1/3 N) N) N) (/ (/ -1/2 N) N))) (sqrt (+ (/ (/ (/ 1/3 N) N) N) (/ (/ -1/2 N) N))) (expm1 (/ 1/3 N)) (log1p (/ 1/3 N)) (log (/ 1/3 N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (/ (/ 1/27 N) (* N N)) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (/ (/ 1/27 N) (* N N)) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) -1/3 (- N) (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (* (cbrt 1/3) (cbrt 1/3)) (/ (cbrt 1/3) N) (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (sqrt 1/3) (/ (sqrt 1/3) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) 1 (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ 1/3 (* (cbrt N) (cbrt N))) (/ 1/3 (sqrt N)) 1/3 (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (expm1 (/ (/ 1 N) N)) (log1p (/ (/ 1 N) N)) -2 -1 -2 -2 -1 -2 (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (exp (/ (/ 1 N) N)) (* (/ (/ (/ 1 N) N) N) (/ (/ (/ 1 N) N) N)) (* (/ (/ (/ 1 N) N) N) (/ (/ (/ 1 N) N) N)) (* (cbrt (/ (/ 1 N) N)) (cbrt (/ (/ 1 N) N))) (cbrt (/ (/ 1 N) N)) (* (/ (/ (/ 1 N) N) N) (/ (/ (/ 1 N) N) N)) (sqrt (/ (/ 1 N) N)) (sqrt (/ (/ 1 N) N)) -1 (* (- N) N) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 N) (/ (/ 1 N) N) (* N N) (/ 1 N) (* N N) (* N N) (* N N) (expm1 (/ (/ (/ 1/3 N) N) N)) (log1p (/ (/ (/ 1/3 N) N) N)) (log (/ (/ (/ 1/3 N) N) N)) (log (/ (/ (/ 1/3 N) N) N)) (log (/ (/ (/ 1/3 N) N) N)) (log (/ (/ (/ 1/3 N) N) N)) (log (/ (/ (/ 1/3 N) N) N)) (exp (/ (/ (/ 1/3 N) N) N)) (* (* (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N)) (/ (/ (/ 1/3 N) N) N)) (* (* (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N)) (/ (/ (/ 1/3 N) N) N)) (* (* (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N)) (/ (/ (/ 1/3 N) N) N)) (* (* (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N)) (/ (/ (/ 1/3 N) N) N)) (* (cbrt (/ (/ (/ 1/3 N) N) N)) (cbrt (/ (/ (/ 1/3 N) N) N))) (cbrt (/ (/ (/ 1/3 N) N) N)) (* (* (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N)) (/ (/ (/ 1/3 N) N) N)) (sqrt (/ (/ (/ 1/3 N) N) N)) (sqrt (/ (/ (/ 1/3 N) N) N)) (/ -1/3 N) (* (- N) N) (* (cbrt (/ 1/3 N)) (/ (cbrt (/ 1/3 N)) N)) (/ (cbrt (/ 1/3 N)) N) (/ (sqrt (/ 1/3 N)) N) (/ (sqrt (/ 1/3 N)) N) (/ (/ (cbrt 1/3) (cbrt N)) (/ N (/ (cbrt 1/3) (cbrt N)))) (/ (cbrt 1/3) (* (cbrt N) N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (* N (sqrt N))) (/ (cbrt 1/3) (* (sqrt N) N)) (* (/ (cbrt 1/3) N) (cbrt 1/3)) (/ (cbrt 1/3) (* N N)) (/ (sqrt 1/3) (* (* (cbrt N) (cbrt N)) N)) (/ (sqrt 1/3) (* N (cbrt N))) (/ (/ (sqrt 1/3) (sqrt N)) N) (/ (/ (sqrt 1/3) (sqrt N)) N) (/ (sqrt 1/3) N) (/ (/ (sqrt 1/3) N) N) (/ 1 (* (* (cbrt N) (cbrt N)) N)) (/ (/ 1/3 N) (cbrt N)) (/ 1 (* N (sqrt N))) (/ 1/3 (* N (sqrt N))) (/ 1 N) (/ (/ 1/3 N) N) (/ 1 N) (/ (/ 1/3 N) N) (/ 1/3 N) (/ (/ 1 N) N) (/ (/ 1 N) N) (/ N (/ (/ 1/3 N) N)) (/ (/ 1/3 N) N) (/ N (/ (cbrt (/ 1/3 N)) N)) (/ (* N N) (sqrt (/ 1/3 N))) (/ (* N N) (/ (cbrt 1/3) (cbrt N))) (/ (* N N) (/ (cbrt 1/3) (sqrt N))) (/ (* N N) (/ (cbrt 1/3) N)) (* (/ N (sqrt 1/3)) (* (cbrt N) N)) (/ (* N N) (/ (sqrt 1/3) (sqrt N))) (/ N (/ (/ (sqrt 1/3) N) N)) (/ N (/ (/ 1/3 N) (cbrt N))) (* (sqrt N) (/ N (/ 1/3 N))) (/ N (/ (/ 1/3 N) N)) (/ N (/ (/ 1/3 N) N)) (* (* N N) N) (* (* N N) N) (+ (/ (/ (/ 1/3 N) N) N) (/ (/ -1/2 N) N)) (+ (/ (/ (/ 1/3 N) N) N) (/ (/ -1/2 N) N)) (+ (/ (/ (/ 1/3 N) N) N) (/ (/ -1/2 N) N)) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ (/ 1 N) N) (/ (/ 1 N) N) (/ (/ 1 N) N) (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N) 6.546 * * * [progress]: adding candidates to table 7.576 * * [progress]: iteration 3 / 4 7.576 * * * [progress]: picking best candidate 7.586 * * * * [pick]: Picked # 7.586 * * * [progress]: localizing error 7.637 * * * [progress]: generating rewritten candidates 7.637 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 7.637 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 3) 7.658 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 3 1 1 1) 7.664 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 7.690 * * * [progress]: generating series expansions 7.691 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 7.691 * [backup-simplify]: Simplify (fma (/ 1 (* N N)) -1/2 (log (exp (/ (/ 1/3 N) (* N N))))) into (fma (/ 1 (pow N 2)) -1/2 (/ 1/3 (pow N 3))) 7.691 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (/ 1/3 (pow N 3))) in (N) around 0 7.691 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (/ 1/3 (pow N 3))) in N 7.691 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (/ 1/3 (pow N 3))) 7.691 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 7.691 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.691 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.691 * [taylor]: Taking taylor expansion of N in N 7.691 * [backup-simplify]: Simplify 0 into 0 7.691 * [backup-simplify]: Simplify 1 into 1 7.692 * [backup-simplify]: Simplify (* 1 1) into 1 7.693 * [backup-simplify]: Simplify (/ 1 1) into 1 7.693 * [taylor]: Taking taylor expansion of -1/2 in N 7.693 * [backup-simplify]: Simplify -1/2 into -1/2 7.693 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 7.693 * [taylor]: Taking taylor expansion of 1/3 in N 7.693 * [backup-simplify]: Simplify 1/3 into 1/3 7.693 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.693 * [taylor]: Taking taylor expansion of N in N 7.693 * [backup-simplify]: Simplify 0 into 0 7.693 * [backup-simplify]: Simplify 1 into 1 7.694 * [backup-simplify]: Simplify (* 1 1) into 1 7.694 * [backup-simplify]: Simplify (* 1 1) into 1 7.695 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 7.695 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) -1/2 (/ 1/3 (pow N 3))) in N 7.695 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) -1/2) (/ 1/3 (pow N 3))) 7.695 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) -1/2) in N 7.695 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.695 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.695 * [taylor]: Taking taylor expansion of N in N 7.695 * [backup-simplify]: Simplify 0 into 0 7.695 * [backup-simplify]: Simplify 1 into 1 7.695 * [backup-simplify]: Simplify (* 1 1) into 1 7.696 * [backup-simplify]: Simplify (/ 1 1) into 1 7.696 * [taylor]: Taking taylor expansion of -1/2 in N 7.696 * [backup-simplify]: Simplify -1/2 into -1/2 7.696 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 7.696 * [taylor]: Taking taylor expansion of 1/3 in N 7.696 * [backup-simplify]: Simplify 1/3 into 1/3 7.696 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.696 * [taylor]: Taking taylor expansion of N in N 7.696 * [backup-simplify]: Simplify 0 into 0 7.696 * [backup-simplify]: Simplify 1 into 1 7.696 * [backup-simplify]: Simplify (* 1 1) into 1 7.697 * [backup-simplify]: Simplify (* 1 1) into 1 7.697 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 7.698 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 7.698 * [backup-simplify]: Simplify 1/3 into 1/3 7.698 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 7.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 7.700 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 7.701 * [backup-simplify]: Simplify -1/2 into -1/2 7.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 7.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.706 * [backup-simplify]: Simplify (+ 0 0) into 0 7.706 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1/2))) into 0 7.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.711 * [backup-simplify]: Simplify (+ 0 0) into 0 7.711 * [backup-simplify]: Simplify 0 into 0 7.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))) into 0 7.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.715 * [backup-simplify]: Simplify (+ 0 0) into 0 7.715 * [backup-simplify]: Simplify 0 into 0 7.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2))))) into 0 7.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.719 * [backup-simplify]: Simplify (+ 0 0) into 0 7.719 * [backup-simplify]: Simplify 0 into 0 7.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))))) into 0 7.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.724 * [backup-simplify]: Simplify (+ 0 0) into 0 7.724 * [backup-simplify]: Simplify 0 into 0 7.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2))))))) into 0 7.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.729 * [backup-simplify]: Simplify (+ 0 0) into 0 7.729 * [backup-simplify]: Simplify 0 into 0 7.729 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3))) into (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) 7.729 * [backup-simplify]: Simplify (fma (/ 1 (* (/ 1 N) (/ 1 N))) -1/2 (log (exp (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N)))))) into (fma (pow N 2) -1/2 (* 1/3 (pow N 3))) 7.729 * [approximate]: Taking taylor expansion of (fma (pow N 2) -1/2 (* 1/3 (pow N 3))) in (N) around 0 7.729 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (* 1/3 (pow N 3))) in N 7.730 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (* 1/3 (pow N 3))) 7.730 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 7.730 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.730 * [taylor]: Taking taylor expansion of N in N 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 1 into 1 7.730 * [taylor]: Taking taylor expansion of -1/2 in N 7.730 * [backup-simplify]: Simplify -1/2 into -1/2 7.730 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 7.730 * [taylor]: Taking taylor expansion of 1/3 in N 7.730 * [backup-simplify]: Simplify 1/3 into 1/3 7.730 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.730 * [taylor]: Taking taylor expansion of N in N 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 1 into 1 7.730 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (* 1/3 (pow N 3))) in N 7.730 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (* 1/3 (pow N 3))) 7.730 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 7.730 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.730 * [taylor]: Taking taylor expansion of N in N 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 1 into 1 7.730 * [taylor]: Taking taylor expansion of -1/2 in N 7.730 * [backup-simplify]: Simplify -1/2 into -1/2 7.730 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 7.730 * [taylor]: Taking taylor expansion of 1/3 in N 7.730 * [backup-simplify]: Simplify 1/3 into 1/3 7.730 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.730 * [taylor]: Taking taylor expansion of N in N 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 1 into 1 7.730 * [backup-simplify]: Simplify (* 1 1) into 1 7.731 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 7.731 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 7.731 * [backup-simplify]: Simplify -1/2 into -1/2 7.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 7.732 * [backup-simplify]: Simplify (* 1 1) into 1 7.732 * [backup-simplify]: Simplify (* 1 1) into 1 7.732 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 7.733 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 7.733 * [backup-simplify]: Simplify 1/3 into 1/3 7.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1/2))) into 0 7.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.735 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 7.735 * [backup-simplify]: Simplify (+ 0 0) into 0 7.736 * [backup-simplify]: Simplify 0 into 0 7.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))) into 0 7.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.739 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 7.740 * [backup-simplify]: Simplify (+ 0 0) into 0 7.740 * [backup-simplify]: Simplify 0 into 0 7.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2))))) into 0 7.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.745 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.746 * [backup-simplify]: Simplify (+ 0 0) into 0 7.746 * [backup-simplify]: Simplify 0 into 0 7.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))))) into 0 7.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.753 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.753 * [backup-simplify]: Simplify (+ 0 0) into 0 7.753 * [backup-simplify]: Simplify 0 into 0 7.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2))))))) into 0 7.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.760 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.761 * [backup-simplify]: Simplify (+ 0 0) into 0 7.761 * [backup-simplify]: Simplify 0 into 0 7.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))))))) into 0 7.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.770 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.770 * [backup-simplify]: Simplify (+ 0 0) into 0 7.770 * [backup-simplify]: Simplify 0 into 0 7.770 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (* -1/2 (pow (/ 1 N) 2))) into (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) 7.771 * [backup-simplify]: Simplify (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) -1/2 (log (exp (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N))))))) into (fma (pow N 2) -1/2 (* -1/3 (pow N 3))) 7.771 * [approximate]: Taking taylor expansion of (fma (pow N 2) -1/2 (* -1/3 (pow N 3))) in (N) around 0 7.771 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (* -1/3 (pow N 3))) in N 7.771 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (* -1/3 (pow N 3))) 7.771 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 7.771 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.771 * [taylor]: Taking taylor expansion of N in N 7.771 * [backup-simplify]: Simplify 0 into 0 7.771 * [backup-simplify]: Simplify 1 into 1 7.771 * [taylor]: Taking taylor expansion of -1/2 in N 7.771 * [backup-simplify]: Simplify -1/2 into -1/2 7.771 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 7.771 * [taylor]: Taking taylor expansion of -1/3 in N 7.771 * [backup-simplify]: Simplify -1/3 into -1/3 7.771 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.771 * [taylor]: Taking taylor expansion of N in N 7.771 * [backup-simplify]: Simplify 0 into 0 7.771 * [backup-simplify]: Simplify 1 into 1 7.771 * [taylor]: Taking taylor expansion of (fma (pow N 2) -1/2 (* -1/3 (pow N 3))) in N 7.771 * [taylor]: Rewrote expression to (+ (* (pow N 2) -1/2) (* -1/3 (pow N 3))) 7.771 * [taylor]: Taking taylor expansion of (* (pow N 2) -1/2) in N 7.771 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.771 * [taylor]: Taking taylor expansion of N in N 7.771 * [backup-simplify]: Simplify 0 into 0 7.771 * [backup-simplify]: Simplify 1 into 1 7.771 * [taylor]: Taking taylor expansion of -1/2 in N 7.771 * [backup-simplify]: Simplify -1/2 into -1/2 7.772 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 7.772 * [taylor]: Taking taylor expansion of -1/3 in N 7.772 * [backup-simplify]: Simplify -1/3 into -1/3 7.772 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.772 * [taylor]: Taking taylor expansion of N in N 7.772 * [backup-simplify]: Simplify 0 into 0 7.772 * [backup-simplify]: Simplify 1 into 1 7.772 * [backup-simplify]: Simplify (* 1 1) into 1 7.773 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 7.773 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 7.773 * [backup-simplify]: Simplify -1/2 into -1/2 7.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 7.775 * [backup-simplify]: Simplify (* 1 1) into 1 7.775 * [backup-simplify]: Simplify (* 1 1) into 1 7.776 * [backup-simplify]: Simplify (* -1/3 1) into -1/3 7.776 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3 7.776 * [backup-simplify]: Simplify -1/3 into -1/3 7.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1/2))) into 0 7.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.780 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 1)) into 0 7.781 * [backup-simplify]: Simplify (+ 0 0) into 0 7.781 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))) into 0 7.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.786 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 1))) into 0 7.786 * [backup-simplify]: Simplify (+ 0 0) into 0 7.786 * [backup-simplify]: Simplify 0 into 0 7.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2))))) into 0 7.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.791 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.791 * [backup-simplify]: Simplify (+ 0 0) into 0 7.791 * [backup-simplify]: Simplify 0 into 0 7.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))))) into 0 7.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.795 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.795 * [backup-simplify]: Simplify (+ 0 0) into 0 7.795 * [backup-simplify]: Simplify 0 into 0 7.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2))))))) into 0 7.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.799 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.799 * [backup-simplify]: Simplify (+ 0 0) into 0 7.799 * [backup-simplify]: Simplify 0 into 0 7.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/2)))))))) into 0 7.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.809 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.809 * [backup-simplify]: Simplify (+ 0 0) into 0 7.809 * [backup-simplify]: Simplify 0 into 0 7.809 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (* -1/2 (pow (/ 1 (- N)) 2))) into (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) 7.809 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 3) 7.809 * [backup-simplify]: Simplify (log (exp (/ (/ 1/3 N) (* N N)))) into (/ 1/3 (pow N 3)) 7.809 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 3)) in (N) around 0 7.809 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 7.809 * [taylor]: Taking taylor expansion of 1/3 in N 7.809 * [backup-simplify]: Simplify 1/3 into 1/3 7.809 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.809 * [taylor]: Taking taylor expansion of N in N 7.810 * [backup-simplify]: Simplify 0 into 0 7.810 * [backup-simplify]: Simplify 1 into 1 7.810 * [backup-simplify]: Simplify (* 1 1) into 1 7.810 * [backup-simplify]: Simplify (* 1 1) into 1 7.810 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 7.810 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 7.810 * [taylor]: Taking taylor expansion of 1/3 in N 7.810 * [backup-simplify]: Simplify 1/3 into 1/3 7.810 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.810 * [taylor]: Taking taylor expansion of N in N 7.810 * [backup-simplify]: Simplify 0 into 0 7.810 * [backup-simplify]: Simplify 1 into 1 7.811 * [backup-simplify]: Simplify (* 1 1) into 1 7.811 * [backup-simplify]: Simplify (* 1 1) into 1 7.811 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 7.811 * [backup-simplify]: Simplify 1/3 into 1/3 7.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 7.813 * [backup-simplify]: Simplify 0 into 0 7.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.814 * [backup-simplify]: Simplify 0 into 0 7.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.816 * [backup-simplify]: Simplify 0 into 0 7.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.819 * [backup-simplify]: Simplify 0 into 0 7.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.822 * [backup-simplify]: Simplify 0 into 0 7.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.826 * [backup-simplify]: Simplify 0 into 0 7.826 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 7.826 * [backup-simplify]: Simplify (log (exp (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N))))) into (* 1/3 (pow N 3)) 7.826 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 3)) in (N) around 0 7.826 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 7.826 * [taylor]: Taking taylor expansion of 1/3 in N 7.826 * [backup-simplify]: Simplify 1/3 into 1/3 7.826 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.826 * [taylor]: Taking taylor expansion of N in N 7.826 * [backup-simplify]: Simplify 0 into 0 7.826 * [backup-simplify]: Simplify 1 into 1 7.827 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 7.827 * [taylor]: Taking taylor expansion of 1/3 in N 7.827 * [backup-simplify]: Simplify 1/3 into 1/3 7.827 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.827 * [taylor]: Taking taylor expansion of N in N 7.827 * [backup-simplify]: Simplify 0 into 0 7.827 * [backup-simplify]: Simplify 1 into 1 7.827 * [backup-simplify]: Simplify (* 1 1) into 1 7.827 * [backup-simplify]: Simplify (* 1 1) into 1 7.828 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 7.828 * [backup-simplify]: Simplify 1/3 into 1/3 7.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.829 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.831 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 7.831 * [backup-simplify]: Simplify 0 into 0 7.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.832 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.833 * [backup-simplify]: Simplify 0 into 0 7.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.835 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.835 * [backup-simplify]: Simplify 0 into 0 7.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.838 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.838 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.840 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.840 * [backup-simplify]: Simplify 0 into 0 7.841 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 7.841 * [backup-simplify]: Simplify (log (exp (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))))) into (* -1/3 (pow N 3)) 7.841 * [approximate]: Taking taylor expansion of (* -1/3 (pow N 3)) in (N) around 0 7.841 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 7.841 * [taylor]: Taking taylor expansion of -1/3 in N 7.841 * [backup-simplify]: Simplify -1/3 into -1/3 7.841 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.841 * [taylor]: Taking taylor expansion of N in N 7.841 * [backup-simplify]: Simplify 0 into 0 7.841 * [backup-simplify]: Simplify 1 into 1 7.841 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 7.841 * [taylor]: Taking taylor expansion of -1/3 in N 7.841 * [backup-simplify]: Simplify -1/3 into -1/3 7.841 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.841 * [taylor]: Taking taylor expansion of N in N 7.841 * [backup-simplify]: Simplify 0 into 0 7.841 * [backup-simplify]: Simplify 1 into 1 7.841 * [backup-simplify]: Simplify (* 1 1) into 1 7.842 * [backup-simplify]: Simplify (* 1 1) into 1 7.842 * [backup-simplify]: Simplify (* -1/3 1) into -1/3 7.842 * [backup-simplify]: Simplify -1/3 into -1/3 7.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.843 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 1)) into 0 7.843 * [backup-simplify]: Simplify 0 into 0 7.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.845 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 1))) into 0 7.845 * [backup-simplify]: Simplify 0 into 0 7.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.847 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.847 * [backup-simplify]: Simplify 0 into 0 7.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.849 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.849 * [backup-simplify]: Simplify 0 into 0 7.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.852 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.852 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.856 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.856 * [backup-simplify]: Simplify 0 into 0 7.856 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (- N)) 3)) into (/ 1/3 (pow N 3)) 7.856 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 3 1 1 1) 7.856 * [backup-simplify]: Simplify (/ 1/3 N) into (/ 1/3 N) 7.856 * [approximate]: Taking taylor expansion of (/ 1/3 N) in (N) around 0 7.856 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 7.856 * [taylor]: Taking taylor expansion of 1/3 in N 7.856 * [backup-simplify]: Simplify 1/3 into 1/3 7.856 * [taylor]: Taking taylor expansion of N in N 7.856 * [backup-simplify]: Simplify 0 into 0 7.856 * [backup-simplify]: Simplify 1 into 1 7.857 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 7.857 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 7.857 * [taylor]: Taking taylor expansion of 1/3 in N 7.857 * [backup-simplify]: Simplify 1/3 into 1/3 7.857 * [taylor]: Taking taylor expansion of N in N 7.857 * [backup-simplify]: Simplify 0 into 0 7.857 * [backup-simplify]: Simplify 1 into 1 7.857 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 7.858 * [backup-simplify]: Simplify 1/3 into 1/3 7.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 7.858 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.860 * [backup-simplify]: Simplify 0 into 0 7.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.861 * [backup-simplify]: Simplify 0 into 0 7.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.862 * [backup-simplify]: Simplify 0 into 0 7.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.863 * [backup-simplify]: Simplify 0 into 0 7.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.864 * [backup-simplify]: Simplify 0 into 0 7.864 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 7.864 * [backup-simplify]: Simplify (/ 1/3 (/ 1 N)) into (* 1/3 N) 7.864 * [approximate]: Taking taylor expansion of (* 1/3 N) in (N) around 0 7.864 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 7.864 * [taylor]: Taking taylor expansion of 1/3 in N 7.864 * [backup-simplify]: Simplify 1/3 into 1/3 7.865 * [taylor]: Taking taylor expansion of N in N 7.865 * [backup-simplify]: Simplify 0 into 0 7.865 * [backup-simplify]: Simplify 1 into 1 7.865 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 7.865 * [taylor]: Taking taylor expansion of 1/3 in N 7.865 * [backup-simplify]: Simplify 1/3 into 1/3 7.865 * [taylor]: Taking taylor expansion of N in N 7.865 * [backup-simplify]: Simplify 0 into 0 7.865 * [backup-simplify]: Simplify 1 into 1 7.865 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.865 * [backup-simplify]: Simplify 0 into 0 7.866 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 7.866 * [backup-simplify]: Simplify 1/3 into 1/3 7.867 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 7.867 * [backup-simplify]: Simplify 0 into 0 7.868 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.868 * [backup-simplify]: Simplify 0 into 0 7.870 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.870 * [backup-simplify]: Simplify 0 into 0 7.871 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.871 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.872 * [backup-simplify]: Simplify 0 into 0 7.874 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 7.874 * [backup-simplify]: Simplify 0 into 0 7.874 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 7.874 * [backup-simplify]: Simplify (/ 1/3 (/ 1 (- N))) into (* -1/3 N) 7.874 * [approximate]: Taking taylor expansion of (* -1/3 N) in (N) around 0 7.874 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 7.874 * [taylor]: Taking taylor expansion of -1/3 in N 7.874 * [backup-simplify]: Simplify -1/3 into -1/3 7.874 * [taylor]: Taking taylor expansion of N in N 7.874 * [backup-simplify]: Simplify 0 into 0 7.874 * [backup-simplify]: Simplify 1 into 1 7.874 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 7.874 * [taylor]: Taking taylor expansion of -1/3 in N 7.874 * [backup-simplify]: Simplify -1/3 into -1/3 7.874 * [taylor]: Taking taylor expansion of N in N 7.874 * [backup-simplify]: Simplify 0 into 0 7.874 * [backup-simplify]: Simplify 1 into 1 7.874 * [backup-simplify]: Simplify (* -1/3 0) into 0 7.874 * [backup-simplify]: Simplify 0 into 0 7.875 * [backup-simplify]: Simplify (+ (* -1/3 1) (* 0 0)) into -1/3 7.875 * [backup-simplify]: Simplify -1/3 into -1/3 7.876 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 1) (* 0 0))) into 0 7.876 * [backup-simplify]: Simplify 0 into 0 7.876 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.876 * [backup-simplify]: Simplify 0 into 0 7.877 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.877 * [backup-simplify]: Simplify 0 into 0 7.878 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.878 * [backup-simplify]: Simplify 0 into 0 7.879 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.879 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 7.880 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify (* -1/3 (/ 1 (- N))) into (/ 1/3 N) 7.880 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 7.880 * [backup-simplify]: Simplify (/ 1 (* N N)) into (/ 1 (pow N 2)) 7.880 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 7.880 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.880 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.880 * [taylor]: Taking taylor expansion of N in N 7.880 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify 1 into 1 7.881 * [backup-simplify]: Simplify (* 1 1) into 1 7.881 * [backup-simplify]: Simplify (/ 1 1) into 1 7.881 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.881 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.881 * [taylor]: Taking taylor expansion of N in N 7.881 * [backup-simplify]: Simplify 0 into 0 7.881 * [backup-simplify]: Simplify 1 into 1 7.881 * [backup-simplify]: Simplify (* 1 1) into 1 7.882 * [backup-simplify]: Simplify (/ 1 1) into 1 7.882 * [backup-simplify]: Simplify 1 into 1 7.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.882 * [backup-simplify]: Simplify 0 into 0 7.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.884 * [backup-simplify]: Simplify 0 into 0 7.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.885 * [backup-simplify]: Simplify 0 into 0 7.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.886 * [backup-simplify]: Simplify 0 into 0 7.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.888 * [backup-simplify]: Simplify 0 into 0 7.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 7.889 * [backup-simplify]: Simplify (/ 1 (* (/ 1 N) (/ 1 N))) into (pow N 2) 7.889 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 7.889 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.889 * [taylor]: Taking taylor expansion of N in N 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify 1 into 1 7.889 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.889 * [taylor]: Taking taylor expansion of N in N 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify 1 into 1 7.890 * [backup-simplify]: Simplify (* 1 1) into 1 7.890 * [backup-simplify]: Simplify 1 into 1 7.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.890 * [backup-simplify]: Simplify 0 into 0 7.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.891 * [backup-simplify]: Simplify 0 into 0 7.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.891 * [backup-simplify]: Simplify 0 into 0 7.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.892 * [backup-simplify]: Simplify 0 into 0 7.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.893 * [backup-simplify]: Simplify 0 into 0 7.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.894 * [backup-simplify]: Simplify 0 into 0 7.894 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 7.894 * [backup-simplify]: Simplify (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) into (pow N 2) 7.894 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 7.894 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.894 * [taylor]: Taking taylor expansion of N in N 7.894 * [backup-simplify]: Simplify 0 into 0 7.894 * [backup-simplify]: Simplify 1 into 1 7.894 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.894 * [taylor]: Taking taylor expansion of N in N 7.894 * [backup-simplify]: Simplify 0 into 0 7.894 * [backup-simplify]: Simplify 1 into 1 7.894 * [backup-simplify]: Simplify (* 1 1) into 1 7.895 * [backup-simplify]: Simplify 1 into 1 7.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.895 * [backup-simplify]: Simplify 0 into 0 7.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.895 * [backup-simplify]: Simplify 0 into 0 7.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.896 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.897 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.898 * [backup-simplify]: Simplify 0 into 0 7.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.900 * [backup-simplify]: Simplify 0 into 0 7.900 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 7.900 * * * [progress]: simplifying candidates 7.900 * * * * [progress]: [ 1 / 116 ] simplifiying candidate # 7.900 * * * * [progress]: [ 2 / 116 ] simplifiying candidate # 7.900 * * * * [progress]: [ 3 / 116 ] simplifiying candidate # 7.900 * * * * [progress]: [ 4 / 116 ] simplifiying candidate # 7.900 * * * * [progress]: [ 5 / 116 ] simplifiying candidate # 7.900 * * * * [progress]: [ 6 / 116 ] simplifiying candidate # 7.901 * * * * [progress]: [ 7 / 116 ] simplifiying candidate # 7.901 * * * * [progress]: [ 8 / 116 ] simplifiying candidate # 7.901 * * * * [progress]: [ 9 / 116 ] simplifiying candidate # 7.901 * * * * [progress]: [ 10 / 116 ] simplifiying candidate # 7.901 * * * * [progress]: [ 11 / 116 ] simplifiying candidate # 7.901 * * * * [progress]: [ 12 / 116 ] simplifiying candidate # 7.901 * * * * [progress]: [ 13 / 116 ] simplifiying candidate # 7.901 * * * * [progress]: [ 14 / 116 ] simplifiying candidate # 7.901 * * * * [progress]: [ 15 / 116 ] simplifiying candidate # 7.901 * * * * [progress]: [ 16 / 116 ] simplifiying candidate # 7.901 * * * * [progress]: [ 17 / 116 ] simplifiying candidate # 7.901 * * * * [progress]: [ 18 / 116 ] simplifiying candidate # 7.901 * * * * [progress]: [ 19 / 116 ] simplifiying candidate # 7.901 * * * * [progress]: [ 20 / 116 ] simplifiying candidate # 7.902 * * * * [progress]: [ 21 / 116 ] simplifiying candidate # 7.902 * * * * [progress]: [ 22 / 116 ] simplifiying candidate # 7.902 * * * * [progress]: [ 23 / 116 ] simplifiying candidate # 7.902 * * * * [progress]: [ 24 / 116 ] simplifiying candidate # 7.902 * * * * [progress]: [ 25 / 116 ] simplifiying candidate # 7.902 * * * * [progress]: [ 26 / 116 ] simplifiying candidate # 7.902 * * * * [progress]: [ 27 / 116 ] simplifiying candidate # 7.902 * * * * [progress]: [ 28 / 116 ] simplifiying candidate # 7.902 * * * * [progress]: [ 29 / 116 ] simplifiying candidate # 7.902 * * * * [progress]: [ 30 / 116 ] simplifiying candidate # 7.902 * * * * [progress]: [ 31 / 116 ] simplifiying candidate # 7.902 * * * * [progress]: [ 32 / 116 ] simplifiying candidate # 7.902 * * * * [progress]: [ 33 / 116 ] simplifiying candidate # 7.902 * * * * [progress]: [ 34 / 116 ] simplifiying candidate # 7.903 * * * * [progress]: [ 35 / 116 ] simplifiying candidate # 7.903 * * * * [progress]: [ 36 / 116 ] simplifiying candidate # 7.903 * * * * [progress]: [ 37 / 116 ] simplifiying candidate # 7.903 * * * * [progress]: [ 38 / 116 ] simplifiying candidate # 7.903 * * * * [progress]: [ 39 / 116 ] simplifiying candidate # 7.903 * * * * [progress]: [ 40 / 116 ] simplifiying candidate # 7.903 * * * * [progress]: [ 41 / 116 ] simplifiying candidate # 7.903 * * * * [progress]: [ 42 / 116 ] simplifiying candidate # 7.903 * * * * [progress]: [ 43 / 116 ] simplifiying candidate # 7.903 * * * * [progress]: [ 44 / 116 ] simplifiying candidate # 7.903 * * * * [progress]: [ 45 / 116 ] simplifiying candidate # 7.903 * * * * [progress]: [ 46 / 116 ] simplifiying candidate # 7.903 * * * * [progress]: [ 47 / 116 ] simplifiying candidate # 7.903 * * * * [progress]: [ 48 / 116 ] simplifiying candidate # 7.903 * * * * [progress]: [ 49 / 116 ] simplifiying candidate # 7.904 * * * * [progress]: [ 50 / 116 ] simplifiying candidate # 7.904 * * * * [progress]: [ 51 / 116 ] simplifiying candidate # 7.904 * * * * [progress]: [ 52 / 116 ] simplifiying candidate # 7.904 * * * * [progress]: [ 53 / 116 ] simplifiying candidate # 7.904 * * * * [progress]: [ 54 / 116 ] simplifiying candidate # 7.904 * * * * [progress]: [ 55 / 116 ] simplifiying candidate # 7.904 * * * * [progress]: [ 56 / 116 ] simplifiying candidate # 7.904 * * * * [progress]: [ 57 / 116 ] simplifiying candidate # 7.904 * * * * [progress]: [ 58 / 116 ] simplifiying candidate # 7.904 * * * * [progress]: [ 59 / 116 ] simplifiying candidate # 7.904 * * * * [progress]: [ 60 / 116 ] simplifiying candidate # 7.904 * * * * [progress]: [ 61 / 116 ] simplifiying candidate # 7.904 * * * * [progress]: [ 62 / 116 ] simplifiying candidate # 7.904 * * * * [progress]: [ 63 / 116 ] simplifiying candidate # 7.905 * * * * [progress]: [ 64 / 116 ] simplifiying candidate # 7.905 * * * * [progress]: [ 65 / 116 ] simplifiying candidate # 7.905 * * * * [progress]: [ 66 / 116 ] simplifiying candidate # 7.905 * * * * [progress]: [ 67 / 116 ] simplifiying candidate # 7.905 * * * * [progress]: [ 68 / 116 ] simplifiying candidate # 7.905 * * * * [progress]: [ 69 / 116 ] simplifiying candidate # 7.905 * * * * [progress]: [ 70 / 116 ] simplifiying candidate # 7.905 * * * * [progress]: [ 71 / 116 ] simplifiying candidate # 7.905 * * * * [progress]: [ 72 / 116 ] simplifiying candidate # 7.905 * * * * [progress]: [ 73 / 116 ] simplifiying candidate # 7.905 * * * * [progress]: [ 74 / 116 ] simplifiying candidate # 7.905 * * * * [progress]: [ 75 / 116 ] simplifiying candidate # 7.905 * * * * [progress]: [ 76 / 116 ] simplifiying candidate # 7.905 * * * * [progress]: [ 77 / 116 ] simplifiying candidate # 7.905 * * * * [progress]: [ 78 / 116 ] simplifiying candidate # 7.906 * * * * [progress]: [ 79 / 116 ] simplifiying candidate # 7.906 * * * * [progress]: [ 80 / 116 ] simplifiying candidate # 7.906 * * * * [progress]: [ 81 / 116 ] simplifiying candidate # 7.906 * * * * [progress]: [ 82 / 116 ] simplifiying candidate # 7.906 * * * * [progress]: [ 83 / 116 ] simplifiying candidate # 7.906 * * * * [progress]: [ 84 / 116 ] simplifiying candidate # 7.906 * * * * [progress]: [ 85 / 116 ] simplifiying candidate # 7.906 * * * * [progress]: [ 86 / 116 ] simplifiying candidate # 7.906 * * * * [progress]: [ 87 / 116 ] simplifiying candidate # 7.906 * * * * [progress]: [ 88 / 116 ] simplifiying candidate # 7.906 * * * * [progress]: [ 89 / 116 ] simplifiying candidate # 7.906 * * * * [progress]: [ 90 / 116 ] simplifiying candidate # 7.906 * * * * [progress]: [ 91 / 116 ] simplifiying candidate # 7.906 * * * * [progress]: [ 92 / 116 ] simplifiying candidate # 7.906 * * * * [progress]: [ 93 / 116 ] simplifiying candidate # 7.907 * * * * [progress]: [ 94 / 116 ] simplifiying candidate # 7.907 * * * * [progress]: [ 95 / 116 ] simplifiying candidate # 7.907 * * * * [progress]: [ 96 / 116 ] simplifiying candidate # 7.907 * * * * [progress]: [ 97 / 116 ] simplifiying candidate # 7.907 * * * * [progress]: [ 98 / 116 ] simplifiying candidate # 7.907 * * * * [progress]: [ 99 / 116 ] simplifiying candidate # 7.907 * * * * [progress]: [ 100 / 116 ] simplifiying candidate # 7.907 * * * * [progress]: [ 101 / 116 ] simplifiying candidate # 7.907 * * * * [progress]: [ 102 / 116 ] simplifiying candidate # 7.907 * * * * [progress]: [ 103 / 116 ] simplifiying candidate # 7.907 * * * * [progress]: [ 104 / 116 ] simplifiying candidate # 7.907 * * * * [progress]: [ 105 / 116 ] simplifiying candidate # 7.907 * * * * [progress]: [ 106 / 116 ] simplifiying candidate # 7.907 * * * * [progress]: [ 107 / 116 ] simplifiying candidate # 7.907 * * * * [progress]: [ 108 / 116 ] simplifiying candidate # 7.907 * * * * [progress]: [ 109 / 116 ] simplifiying candidate # 7.908 * * * * [progress]: [ 110 / 116 ] simplifiying candidate # 7.908 * * * * [progress]: [ 111 / 116 ] simplifiying candidate # 7.908 * * * * [progress]: [ 112 / 116 ] simplifiying candidate # 7.908 * * * * [progress]: [ 113 / 116 ] simplifiying candidate # 7.908 * * * * [progress]: [ 114 / 116 ] simplifiying candidate # 7.908 * * * * [progress]: [ 115 / 116 ] simplifiying candidate # 7.908 * * * * [progress]: [ 116 / 116 ] simplifiying candidate # 7.915 * [simplify]: Simplifying: (expm1 (fma (/ 1 (* N N)) -1/2 (log (exp (/ (/ 1/3 N) (* N N)))))) (log1p (fma (/ 1 (* N N)) -1/2 (log (exp (/ (/ 1/3 N) (* N N)))))) (* (/ 1 (* N N)) -1/2) (log (fma (/ 1 (* N N)) -1/2 (log (exp (/ (/ 1/3 N) (* N N)))))) (exp (fma (/ 1 (* N N)) -1/2 (log (exp (/ (/ 1/3 N) (* N N)))))) (* (cbrt (fma (/ 1 (* N N)) -1/2 (log (exp (/ (/ 1/3 N) (* N N)))))) (cbrt (fma (/ 1 (* N N)) -1/2 (log (exp (/ (/ 1/3 N) (* N N))))))) (cbrt (fma (/ 1 (* N N)) -1/2 (log (exp (/ (/ 1/3 N) (* N N)))))) (* (* (fma (/ 1 (* N N)) -1/2 (log (exp (/ (/ 1/3 N) (* N N))))) (fma (/ 1 (* N N)) -1/2 (log (exp (/ (/ 1/3 N) (* N N)))))) (fma (/ 1 (* N N)) -1/2 (log (exp (/ (/ 1/3 N) (* N N)))))) (sqrt (fma (/ 1 (* N N)) -1/2 (log (exp (/ (/ 1/3 N) (* N N)))))) (sqrt (fma (/ 1 (* N N)) -1/2 (log (exp (/ (/ 1/3 N) (* N N)))))) (expm1 (log (exp (/ (/ 1/3 N) (* N N))))) (log1p (log (exp (/ (/ 1/3 N) (* N N))))) (log (* (cbrt (exp (/ (/ 1/3 N) (* N N)))) (cbrt (exp (/ (/ 1/3 N) (* N N)))))) (log (cbrt (exp (/ (/ 1/3 N) (* N N))))) (log (sqrt (exp (/ (/ 1/3 N) (* N N))))) (log (sqrt (exp (/ (/ 1/3 N) (* N N))))) (log 1) (log (exp (/ (/ 1/3 N) (* N N)))) (log (exp (/ (/ 1/3 N) (* N N)))) (log (exp (* (cbrt (/ (/ 1/3 N) (* N N))) (cbrt (/ (/ 1/3 N) (* N N)))))) (log (exp (sqrt (/ (/ 1/3 N) (* N N))))) (log (exp (/ (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) N))) (log (exp (/ (sqrt (/ 1/3 N)) N))) (log (exp (/ (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) N))) (log (exp (/ (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) N))) (log (exp (/ (/ (* (cbrt 1/3) (cbrt 1/3)) 1) N))) (log (exp (/ (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) N))) (log (exp (/ (/ (sqrt 1/3) (sqrt N)) N))) (log (exp (/ (/ (sqrt 1/3) 1) N))) (log (exp (/ (/ 1 (* (cbrt N) (cbrt N))) N))) (log (exp (/ (/ 1 (sqrt N)) N))) (log (exp (/ (/ 1 1) N))) (log (exp (/ 1 N))) (log (exp (/ 1/3 N))) (log (exp 1)) (log (exp (/ 1/3 N))) (log (log (exp (/ (/ 1/3 N) (* N N))))) (exp (log (exp (/ (/ 1/3 N) (* N N))))) (* (cbrt (log (exp (/ (/ 1/3 N) (* N N))))) (cbrt (log (exp (/ (/ 1/3 N) (* N N)))))) (cbrt (log (exp (/ (/ 1/3 N) (* N N))))) (* (* (log (exp (/ (/ 1/3 N) (* N N)))) (log (exp (/ (/ 1/3 N) (* N N))))) (log (exp (/ (/ 1/3 N) (* N N))))) (sqrt (log (exp (/ (/ 1/3 N) (* N N))))) (sqrt (log (exp (/ (/ 1/3 N) (* N N))))) (expm1 (/ 1/3 N)) (log1p (/ 1/3 N)) (- (log 1/3) (log N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (/ (* (* 1/3 1/3) 1/3) (* (* N N) N)) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) (- 1/3) (- N) (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) 1) (/ (cbrt 1/3) N) (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) 1) (/ (sqrt 1/3) N) (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) (/ 1 1) (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ 1/3 (* (cbrt N) (cbrt N))) (/ 1/3 (sqrt N)) (/ 1/3 1) (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (expm1 (/ 1 (* N N))) (log1p (/ 1 (* N N))) (- (+ 1 1)) (- 1) (- 2) (- (+ 1 1)) (- 1) (- (* 2 1)) (- (+ (log N) (log N))) (- (log (* N N))) (- 0 (+ (log N) (log N))) (- 0 (log (* N N))) (- (log 1) (+ (log N) (log N))) (- (log 1) (log (* N N))) (log (/ 1 (* N N))) (exp (/ 1 (* N N))) (/ (* (* 1 1) 1) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 1 1) 1) (* (* (* N N) (* 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) (cbrt 1)) N) (/ (cbrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ 1 N) (/ 1 N) (/ 1 (* N N)) (/ (* N N) 1) (/ 1 N) (/ (* N N) (cbrt 1)) (/ (* N N) (sqrt 1)) (/ (* N N) 1) (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) 7.918 * * [simplify]: iteration 1: (180 enodes) 8.016 * * [simplify]: iteration 2: (314 enodes) 8.172 * * [simplify]: iteration 3: (651 enodes) 8.762 * * [simplify]: iteration 4: (1761 enodes) 12.058 * * [simplify]: Extracting #0: cost 78 inf + 0 12.059 * * [simplify]: Extracting #1: cost 622 inf + 6 12.067 * * [simplify]: Extracting #2: cost 1148 inf + 20011 12.106 * * [simplify]: Extracting #3: cost 603 inf + 141207 12.194 * * [simplify]: Extracting #4: cost 87 inf + 298198 12.274 * * [simplify]: Extracting #5: cost 1 inf + 339287 12.342 * * [simplify]: Extracting #6: cost 0 inf + 339290 12.429 * [simplify]: Simplified to: (expm1 (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N)))) (log1p (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N)))) (/ (/ -1/2 N) N) (log (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N)))) (exp (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N)))) (* (cbrt (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N)))) (cbrt (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))))) (cbrt (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N)))) (* (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (* (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))))) (sqrt (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N)))) (sqrt (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N)))) (expm1 (/ (/ 1/3 N) (* N N))) (log1p (/ (/ 1/3 N) (* N N))) (log (* (cbrt (exp (/ (/ 1/3 N) (* N N)))) (cbrt (exp (/ (/ 1/3 N) (* N N)))))) (log (cbrt (exp (/ (/ 1/3 N) (* N N))))) (log (sqrt (exp (/ (/ 1/3 N) (* N N))))) (log (sqrt (exp (/ (/ 1/3 N) (* N N))))) 0 (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)) (* (cbrt (/ (/ 1/3 N) (* N N))) (cbrt (/ (/ 1/3 N) (* N N)))) (sqrt (/ (/ 1/3 N) (* N N))) (/ (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) N) (/ (sqrt (/ 1/3 N)) N) (/ (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) N) (/ (cbrt 1/3) (/ (* (sqrt N) N) (cbrt 1/3))) (* (cbrt 1/3) (/ (cbrt 1/3) N)) (/ (/ (/ (sqrt 1/3) (cbrt N)) (cbrt N)) N) (/ (sqrt 1/3) (* (sqrt N) N)) (/ (sqrt 1/3) N) (/ (/ (/ 1 (cbrt N)) N) (cbrt N)) (/ (/ 1 N) (sqrt N)) (/ 1 N) (/ 1 N) (/ 1/3 N) 1 (/ 1/3 N) (log (/ (/ 1/3 N) (* N N))) (exp (/ (/ 1/3 N) (* N N))) (* (cbrt (/ (/ 1/3 N) (* N N))) (cbrt (/ (/ 1/3 N) (* N N)))) (cbrt (/ (/ 1/3 N) (* N N))) (* (/ (/ 1/3 N) (* N N)) (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)))) (sqrt (/ (/ 1/3 N) (* N N))) (sqrt (/ (/ 1/3 N) (* N N))) (expm1 (/ 1/3 N)) (log1p (/ 1/3 N)) (log (/ 1/3 N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) -1/3 (- N) (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (/ (sqrt N) (cbrt 1/3))) (/ (cbrt 1/3) (sqrt N)) (* (cbrt 1/3) (cbrt 1/3)) (/ (cbrt 1/3) N) (/ (/ (sqrt 1/3) (cbrt N)) (cbrt N)) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (sqrt 1/3) (/ (sqrt 1/3) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) 1 (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ 1/3 (* (cbrt N) (cbrt N))) (/ 1/3 (sqrt N)) 1/3 (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (expm1 (/ 1 (* N N))) (log1p (/ 1 (* N N))) -2 -1 -2 -2 -1 -2 (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (exp (/ 1 (* N N))) (* (/ (/ 1 N) (* N N)) (/ (/ 1 N) (* N N))) (* (/ (/ 1 N) (* N N)) (/ (/ 1 N) (* N N))) (* (cbrt (/ 1 (* N N))) (cbrt (/ 1 (* N N)))) (cbrt (/ 1 (* N N))) (* (/ (/ 1 N) (* N N)) (/ (/ 1 N) (* N N))) (fabs (/ 1 N)) (fabs (/ 1 N)) -1 (- (* N N)) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 (* N N)) (* N N) (/ 1 N) (* N N) (* N N) (* N N) (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) 12.437 * * * [progress]: adding candidates to table 13.548 * * [progress]: iteration 4 / 4 13.548 * * * [progress]: picking best candidate 13.560 * * * * [pick]: Picked # 13.560 * * * [progress]: localizing error 13.620 * * * [progress]: generating rewritten candidates 13.620 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 13.635 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 3) 13.655 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 3 1 1 1) 13.662 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 13.688 * * * [progress]: generating series expansions 13.688 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 13.689 * [backup-simplify]: Simplify (log (exp (/ 1 (* N N)))) into (/ 1 (pow N 2)) 13.689 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 13.689 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 13.689 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.689 * [taylor]: Taking taylor expansion of N in N 13.689 * [backup-simplify]: Simplify 0 into 0 13.689 * [backup-simplify]: Simplify 1 into 1 13.690 * [backup-simplify]: Simplify (* 1 1) into 1 13.690 * [backup-simplify]: Simplify (/ 1 1) into 1 13.690 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 13.690 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.690 * [taylor]: Taking taylor expansion of N in N 13.690 * [backup-simplify]: Simplify 0 into 0 13.690 * [backup-simplify]: Simplify 1 into 1 13.691 * [backup-simplify]: Simplify (* 1 1) into 1 13.691 * [backup-simplify]: Simplify (/ 1 1) into 1 13.691 * [backup-simplify]: Simplify 1 into 1 13.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.692 * [backup-simplify]: Simplify 0 into 0 13.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.694 * [backup-simplify]: Simplify 0 into 0 13.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.696 * [backup-simplify]: Simplify 0 into 0 13.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.698 * [backup-simplify]: Simplify 0 into 0 13.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.701 * [backup-simplify]: Simplify 0 into 0 13.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.703 * [backup-simplify]: Simplify 0 into 0 13.704 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 13.704 * [backup-simplify]: Simplify (log (exp (/ 1 (* (/ 1 N) (/ 1 N))))) into (pow N 2) 13.704 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 13.704 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.704 * [taylor]: Taking taylor expansion of N in N 13.704 * [backup-simplify]: Simplify 0 into 0 13.704 * [backup-simplify]: Simplify 1 into 1 13.704 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.704 * [taylor]: Taking taylor expansion of N in N 13.704 * [backup-simplify]: Simplify 0 into 0 13.704 * [backup-simplify]: Simplify 1 into 1 13.705 * [backup-simplify]: Simplify (* 1 1) into 1 13.705 * [backup-simplify]: Simplify 1 into 1 13.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.705 * [backup-simplify]: Simplify 0 into 0 13.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.706 * [backup-simplify]: Simplify 0 into 0 13.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.707 * [backup-simplify]: Simplify 0 into 0 13.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.709 * [backup-simplify]: Simplify 0 into 0 13.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.710 * [backup-simplify]: Simplify 0 into 0 13.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.712 * [backup-simplify]: Simplify 0 into 0 13.712 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 13.712 * [backup-simplify]: Simplify (log (exp (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))))) into (pow N 2) 13.712 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 13.712 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.712 * [taylor]: Taking taylor expansion of N in N 13.712 * [backup-simplify]: Simplify 0 into 0 13.712 * [backup-simplify]: Simplify 1 into 1 13.712 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.712 * [taylor]: Taking taylor expansion of N in N 13.712 * [backup-simplify]: Simplify 0 into 0 13.712 * [backup-simplify]: Simplify 1 into 1 13.713 * [backup-simplify]: Simplify (* 1 1) into 1 13.713 * [backup-simplify]: Simplify 1 into 1 13.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.713 * [backup-simplify]: Simplify 0 into 0 13.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.714 * [backup-simplify]: Simplify 0 into 0 13.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.715 * [backup-simplify]: Simplify 0 into 0 13.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.716 * [backup-simplify]: Simplify 0 into 0 13.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.718 * [backup-simplify]: Simplify 0 into 0 13.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.719 * [backup-simplify]: Simplify 0 into 0 13.719 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 13.720 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 3) 13.720 * [backup-simplify]: Simplify (log (exp (/ (/ 1/3 N) (* N N)))) into (/ 1/3 (pow N 3)) 13.720 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 3)) in (N) around 0 13.720 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 13.720 * [taylor]: Taking taylor expansion of 1/3 in N 13.720 * [backup-simplify]: Simplify 1/3 into 1/3 13.720 * [taylor]: Taking taylor expansion of (pow N 3) in N 13.720 * [taylor]: Taking taylor expansion of N in N 13.720 * [backup-simplify]: Simplify 0 into 0 13.720 * [backup-simplify]: Simplify 1 into 1 13.721 * [backup-simplify]: Simplify (* 1 1) into 1 13.721 * [backup-simplify]: Simplify (* 1 1) into 1 13.721 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 13.721 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 13.721 * [taylor]: Taking taylor expansion of 1/3 in N 13.721 * [backup-simplify]: Simplify 1/3 into 1/3 13.721 * [taylor]: Taking taylor expansion of (pow N 3) in N 13.721 * [taylor]: Taking taylor expansion of N in N 13.721 * [backup-simplify]: Simplify 0 into 0 13.722 * [backup-simplify]: Simplify 1 into 1 13.722 * [backup-simplify]: Simplify (* 1 1) into 1 13.722 * [backup-simplify]: Simplify (* 1 1) into 1 13.723 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 13.723 * [backup-simplify]: Simplify 1/3 into 1/3 13.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 13.725 * [backup-simplify]: Simplify 0 into 0 13.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.728 * [backup-simplify]: Simplify 0 into 0 13.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.731 * [backup-simplify]: Simplify 0 into 0 13.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.734 * [backup-simplify]: Simplify 0 into 0 13.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.737 * [backup-simplify]: Simplify 0 into 0 13.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.741 * [backup-simplify]: Simplify 0 into 0 13.741 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 13.741 * [backup-simplify]: Simplify (log (exp (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N))))) into (* 1/3 (pow N 3)) 13.741 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 3)) in (N) around 0 13.741 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 13.741 * [taylor]: Taking taylor expansion of 1/3 in N 13.741 * [backup-simplify]: Simplify 1/3 into 1/3 13.741 * [taylor]: Taking taylor expansion of (pow N 3) in N 13.741 * [taylor]: Taking taylor expansion of N in N 13.741 * [backup-simplify]: Simplify 0 into 0 13.741 * [backup-simplify]: Simplify 1 into 1 13.741 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 13.742 * [taylor]: Taking taylor expansion of 1/3 in N 13.742 * [backup-simplify]: Simplify 1/3 into 1/3 13.742 * [taylor]: Taking taylor expansion of (pow N 3) in N 13.742 * [taylor]: Taking taylor expansion of N in N 13.742 * [backup-simplify]: Simplify 0 into 0 13.742 * [backup-simplify]: Simplify 1 into 1 13.742 * [backup-simplify]: Simplify (* 1 1) into 1 13.743 * [backup-simplify]: Simplify (* 1 1) into 1 13.743 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 13.743 * [backup-simplify]: Simplify 1/3 into 1/3 13.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.745 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 13.745 * [backup-simplify]: Simplify 0 into 0 13.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.747 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 13.747 * [backup-simplify]: Simplify 0 into 0 13.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.751 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.751 * [backup-simplify]: Simplify 0 into 0 13.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.754 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.754 * [backup-simplify]: Simplify 0 into 0 13.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.759 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.759 * [backup-simplify]: Simplify 0 into 0 13.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.763 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.763 * [backup-simplify]: Simplify 0 into 0 13.764 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 13.764 * [backup-simplify]: Simplify (log (exp (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))))) into (* -1/3 (pow N 3)) 13.764 * [approximate]: Taking taylor expansion of (* -1/3 (pow N 3)) in (N) around 0 13.764 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 13.764 * [taylor]: Taking taylor expansion of -1/3 in N 13.764 * [backup-simplify]: Simplify -1/3 into -1/3 13.764 * [taylor]: Taking taylor expansion of (pow N 3) in N 13.764 * [taylor]: Taking taylor expansion of N in N 13.764 * [backup-simplify]: Simplify 0 into 0 13.764 * [backup-simplify]: Simplify 1 into 1 13.764 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 13.764 * [taylor]: Taking taylor expansion of -1/3 in N 13.764 * [backup-simplify]: Simplify -1/3 into -1/3 13.764 * [taylor]: Taking taylor expansion of (pow N 3) in N 13.764 * [taylor]: Taking taylor expansion of N in N 13.764 * [backup-simplify]: Simplify 0 into 0 13.765 * [backup-simplify]: Simplify 1 into 1 13.765 * [backup-simplify]: Simplify (* 1 1) into 1 13.765 * [backup-simplify]: Simplify (* 1 1) into 1 13.766 * [backup-simplify]: Simplify (* -1/3 1) into -1/3 13.766 * [backup-simplify]: Simplify -1/3 into -1/3 13.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.768 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 1)) into 0 13.769 * [backup-simplify]: Simplify 0 into 0 13.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.772 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 1))) into 0 13.772 * [backup-simplify]: Simplify 0 into 0 13.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.775 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.775 * [backup-simplify]: Simplify 0 into 0 13.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.779 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.779 * [backup-simplify]: Simplify 0 into 0 13.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.784 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.784 * [backup-simplify]: Simplify 0 into 0 13.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.789 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.789 * [backup-simplify]: Simplify 0 into 0 13.789 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (- N)) 3)) into (/ 1/3 (pow N 3)) 13.789 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 3 1 1 1) 13.789 * [backup-simplify]: Simplify (/ 1/3 N) into (/ 1/3 N) 13.789 * [approximate]: Taking taylor expansion of (/ 1/3 N) in (N) around 0 13.789 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 13.789 * [taylor]: Taking taylor expansion of 1/3 in N 13.789 * [backup-simplify]: Simplify 1/3 into 1/3 13.789 * [taylor]: Taking taylor expansion of N in N 13.789 * [backup-simplify]: Simplify 0 into 0 13.789 * [backup-simplify]: Simplify 1 into 1 13.790 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 13.790 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 13.790 * [taylor]: Taking taylor expansion of 1/3 in N 13.790 * [backup-simplify]: Simplify 1/3 into 1/3 13.790 * [taylor]: Taking taylor expansion of N in N 13.790 * [backup-simplify]: Simplify 0 into 0 13.790 * [backup-simplify]: Simplify 1 into 1 13.790 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 13.790 * [backup-simplify]: Simplify 1/3 into 1/3 13.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 13.791 * [backup-simplify]: Simplify 0 into 0 13.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.792 * [backup-simplify]: Simplify 0 into 0 13.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.793 * [backup-simplify]: Simplify 0 into 0 13.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.794 * [backup-simplify]: Simplify 0 into 0 13.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.795 * [backup-simplify]: Simplify 0 into 0 13.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.795 * [backup-simplify]: Simplify 0 into 0 13.795 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 13.795 * [backup-simplify]: Simplify (/ 1/3 (/ 1 N)) into (* 1/3 N) 13.795 * [approximate]: Taking taylor expansion of (* 1/3 N) in (N) around 0 13.795 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 13.795 * [taylor]: Taking taylor expansion of 1/3 in N 13.795 * [backup-simplify]: Simplify 1/3 into 1/3 13.796 * [taylor]: Taking taylor expansion of N in N 13.796 * [backup-simplify]: Simplify 0 into 0 13.796 * [backup-simplify]: Simplify 1 into 1 13.796 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 13.796 * [taylor]: Taking taylor expansion of 1/3 in N 13.796 * [backup-simplify]: Simplify 1/3 into 1/3 13.796 * [taylor]: Taking taylor expansion of N in N 13.796 * [backup-simplify]: Simplify 0 into 0 13.796 * [backup-simplify]: Simplify 1 into 1 13.796 * [backup-simplify]: Simplify (* 1/3 0) into 0 13.796 * [backup-simplify]: Simplify 0 into 0 13.796 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 13.796 * [backup-simplify]: Simplify 1/3 into 1/3 13.797 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 13.797 * [backup-simplify]: Simplify 0 into 0 13.798 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.798 * [backup-simplify]: Simplify 0 into 0 13.799 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.799 * [backup-simplify]: Simplify 0 into 0 13.800 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.800 * [backup-simplify]: Simplify 0 into 0 13.801 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.801 * [backup-simplify]: Simplify 0 into 0 13.802 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 13.802 * [backup-simplify]: Simplify 0 into 0 13.802 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 13.802 * [backup-simplify]: Simplify (/ 1/3 (/ 1 (- N))) into (* -1/3 N) 13.802 * [approximate]: Taking taylor expansion of (* -1/3 N) in (N) around 0 13.802 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 13.802 * [taylor]: Taking taylor expansion of -1/3 in N 13.802 * [backup-simplify]: Simplify -1/3 into -1/3 13.802 * [taylor]: Taking taylor expansion of N in N 13.802 * [backup-simplify]: Simplify 0 into 0 13.802 * [backup-simplify]: Simplify 1 into 1 13.802 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 13.802 * [taylor]: Taking taylor expansion of -1/3 in N 13.802 * [backup-simplify]: Simplify -1/3 into -1/3 13.802 * [taylor]: Taking taylor expansion of N in N 13.802 * [backup-simplify]: Simplify 0 into 0 13.802 * [backup-simplify]: Simplify 1 into 1 13.802 * [backup-simplify]: Simplify (* -1/3 0) into 0 13.802 * [backup-simplify]: Simplify 0 into 0 13.803 * [backup-simplify]: Simplify (+ (* -1/3 1) (* 0 0)) into -1/3 13.803 * [backup-simplify]: Simplify -1/3 into -1/3 13.803 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 1) (* 0 0))) into 0 13.803 * [backup-simplify]: Simplify 0 into 0 13.804 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.804 * [backup-simplify]: Simplify 0 into 0 13.805 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.805 * [backup-simplify]: Simplify 0 into 0 13.806 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.806 * [backup-simplify]: Simplify 0 into 0 13.807 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.807 * [backup-simplify]: Simplify 0 into 0 13.808 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 13.808 * [backup-simplify]: Simplify 0 into 0 13.808 * [backup-simplify]: Simplify (* -1/3 (/ 1 (- N))) into (/ 1/3 N) 13.808 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 13.808 * [backup-simplify]: Simplify (/ 1 (* N N)) into (/ 1 (pow N 2)) 13.808 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 13.808 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 13.808 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.808 * [taylor]: Taking taylor expansion of N in N 13.808 * [backup-simplify]: Simplify 0 into 0 13.808 * [backup-simplify]: Simplify 1 into 1 13.808 * [backup-simplify]: Simplify (* 1 1) into 1 13.813 * [backup-simplify]: Simplify (/ 1 1) into 1 13.813 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 13.813 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.813 * [taylor]: Taking taylor expansion of N in N 13.813 * [backup-simplify]: Simplify 0 into 0 13.813 * [backup-simplify]: Simplify 1 into 1 13.814 * [backup-simplify]: Simplify (* 1 1) into 1 13.814 * [backup-simplify]: Simplify (/ 1 1) into 1 13.814 * [backup-simplify]: Simplify 1 into 1 13.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.815 * [backup-simplify]: Simplify 0 into 0 13.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.816 * [backup-simplify]: Simplify 0 into 0 13.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.817 * [backup-simplify]: Simplify 0 into 0 13.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.818 * [backup-simplify]: Simplify 0 into 0 13.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.820 * [backup-simplify]: Simplify 0 into 0 13.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.821 * [backup-simplify]: Simplify 0 into 0 13.821 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 13.822 * [backup-simplify]: Simplify (/ 1 (* (/ 1 N) (/ 1 N))) into (pow N 2) 13.822 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 13.822 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.822 * [taylor]: Taking taylor expansion of N in N 13.822 * [backup-simplify]: Simplify 0 into 0 13.822 * [backup-simplify]: Simplify 1 into 1 13.822 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.822 * [taylor]: Taking taylor expansion of N in N 13.822 * [backup-simplify]: Simplify 0 into 0 13.822 * [backup-simplify]: Simplify 1 into 1 13.822 * [backup-simplify]: Simplify (* 1 1) into 1 13.822 * [backup-simplify]: Simplify 1 into 1 13.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.823 * [backup-simplify]: Simplify 0 into 0 13.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.824 * [backup-simplify]: Simplify 0 into 0 13.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.825 * [backup-simplify]: Simplify 0 into 0 13.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.826 * [backup-simplify]: Simplify 0 into 0 13.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.828 * [backup-simplify]: Simplify 0 into 0 13.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.829 * [backup-simplify]: Simplify 0 into 0 13.829 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 13.830 * [backup-simplify]: Simplify (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) into (pow N 2) 13.830 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 13.830 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.830 * [taylor]: Taking taylor expansion of N in N 13.830 * [backup-simplify]: Simplify 0 into 0 13.830 * [backup-simplify]: Simplify 1 into 1 13.830 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.830 * [taylor]: Taking taylor expansion of N in N 13.830 * [backup-simplify]: Simplify 0 into 0 13.830 * [backup-simplify]: Simplify 1 into 1 13.831 * [backup-simplify]: Simplify (* 1 1) into 1 13.831 * [backup-simplify]: Simplify 1 into 1 13.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.831 * [backup-simplify]: Simplify 0 into 0 13.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.832 * [backup-simplify]: Simplify 0 into 0 13.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.834 * [backup-simplify]: Simplify 0 into 0 13.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.835 * [backup-simplify]: Simplify 0 into 0 13.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.836 * [backup-simplify]: Simplify 0 into 0 13.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.838 * [backup-simplify]: Simplify 0 into 0 13.838 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 13.838 * * * [progress]: simplifying candidates 13.838 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 13.838 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 13.838 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 13.838 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 13.838 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 13.838 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 13.838 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 13.838 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 13.838 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 13.838 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 13.838 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 13.838 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 13.838 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 13.838 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 13.838 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 13.838 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 13.838 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 13.839 * * * * [progress]: [ 40 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 46 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 58 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 13.840 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 13.841 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 13.841 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 13.841 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 13.841 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 13.841 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 13.841 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 13.841 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 13.841 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 13.841 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 13.841 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 13.841 * * * * [progress]: [ 76 / 127 ] simplifiying candidate # 13.841 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 13.841 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 13.841 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 13.841 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 13.841 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 13.841 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 13.841 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 13.841 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 13.841 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 13.841 * * * * 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simplifiying candidate # 13.843 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 13.843 * * * * [progress]: [ 118 / 127 ] simplifiying candidate # 13.843 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 13.843 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 13.843 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 13.843 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 13.843 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 13.843 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 13.843 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 13.843 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 13.843 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 13.844 * [simplify]: Simplifying: (expm1 (log (exp (/ 1 (* N N))))) (log1p (log (exp (/ 1 (* N N))))) (log (* (cbrt (exp (/ 1 (* N N)))) (cbrt (exp (/ 1 (* N N)))))) (log (cbrt (exp (/ 1 (* N N))))) (log (sqrt (exp (/ 1 (* N N))))) (log (sqrt (exp (/ 1 (* N N))))) (log 1) (log (exp (/ 1 (* N N)))) (log (exp (/ 1 (* N N)))) (log (exp (* (cbrt (/ 1 (* N N))) (cbrt (/ 1 (* N N)))))) (log (exp (sqrt (/ 1 (* N N))))) (log (exp (/ (* (cbrt 1) (cbrt 1)) N))) (log (exp (/ (sqrt 1) N))) (log (exp (/ 1 N))) (log (exp 1)) (log (exp 1)) (log (log (exp (/ 1 (* N N))))) (exp (log (exp (/ 1 (* N N))))) (* (cbrt (log (exp (/ 1 (* N N))))) (cbrt (log (exp (/ 1 (* N N)))))) (cbrt (log (exp (/ 1 (* N N))))) (* (* (log (exp (/ 1 (* N N)))) (log (exp (/ 1 (* N N))))) (log (exp (/ 1 (* N N))))) (sqrt (log (exp (/ 1 (* N N))))) (sqrt (log (exp (/ 1 (* N N))))) (expm1 (log (exp (/ (/ 1/3 N) (* N N))))) (log1p (log (exp (/ (/ 1/3 N) (* N N))))) (log (* (cbrt (exp (/ (/ 1/3 N) (* N N)))) (cbrt (exp (/ (/ 1/3 N) (* N N)))))) (log (cbrt (exp (/ (/ 1/3 N) (* N N))))) (log (sqrt (exp (/ (/ 1/3 N) (* N N))))) (log (sqrt (exp (/ (/ 1/3 N) (* N N))))) (log 1) (log (exp (/ (/ 1/3 N) (* N N)))) (log (exp (/ (/ 1/3 N) (* N N)))) (log (exp (* (cbrt (/ (/ 1/3 N) (* N N))) (cbrt (/ (/ 1/3 N) (* N N)))))) (log (exp (sqrt (/ (/ 1/3 N) (* N N))))) (log (exp (/ (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) N))) (log (exp (/ (sqrt (/ 1/3 N)) N))) (log (exp (/ (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) N))) (log (exp (/ (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) N))) (log (exp (/ (/ (* (cbrt 1/3) (cbrt 1/3)) 1) N))) (log (exp (/ (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) N))) (log (exp (/ (/ (sqrt 1/3) (sqrt N)) N))) (log (exp (/ (/ (sqrt 1/3) 1) N))) (log (exp (/ (/ 1 (* (cbrt N) (cbrt N))) N))) (log (exp (/ (/ 1 (sqrt N)) N))) (log (exp (/ (/ 1 1) N))) (log (exp (/ 1 N))) (log (exp (/ 1/3 N))) (log (exp 1)) (log (exp (/ 1/3 N))) (log (log (exp (/ (/ 1/3 N) (* N N))))) (exp (log (exp (/ (/ 1/3 N) (* N N))))) (* (cbrt (log (exp (/ (/ 1/3 N) (* N N))))) (cbrt (log (exp (/ (/ 1/3 N) (* N N)))))) (cbrt (log (exp (/ (/ 1/3 N) (* N N))))) (* (* (log (exp (/ (/ 1/3 N) (* N N)))) (log (exp (/ (/ 1/3 N) (* N N))))) (log (exp (/ (/ 1/3 N) (* N N))))) (sqrt (log (exp (/ (/ 1/3 N) (* N N))))) (sqrt (log (exp (/ (/ 1/3 N) (* N N))))) (expm1 (/ 1/3 N)) (log1p (/ 1/3 N)) (- (log 1/3) (log N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (/ (* (* 1/3 1/3) 1/3) (* (* N N) N)) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) (- 1/3) (- N) (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) 1) (/ (cbrt 1/3) N) (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) 1) (/ (sqrt 1/3) N) (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) (/ 1 1) (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ 1/3 (* (cbrt N) (cbrt N))) (/ 1/3 (sqrt N)) (/ 1/3 1) (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (expm1 (/ 1 (* N N))) (log1p (/ 1 (* N N))) (- (+ 1 1)) (- 1) (- 2) (- (+ 1 1)) (- 1) (- (* 2 1)) (- (+ (log N) (log N))) (- (log (* N N))) (- 0 (+ (log N) (log N))) (- 0 (log (* N N))) (- (log 1) (+ (log N) (log N))) (- (log 1) (log (* N N))) (log (/ 1 (* N N))) (exp (/ 1 (* N N))) (/ (* (* 1 1) 1) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 1 1) 1) (* (* (* N N) (* 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) (cbrt 1)) N) (/ (cbrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ 1 N) (/ 1 N) (/ 1 (* N N)) (/ (* N N) 1) (/ 1 N) (/ (* N N) (cbrt 1)) (/ (* N N) (sqrt 1)) (/ (* N N) 1) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) 13.845 * * [simplify]: iteration 1: (187 enodes) 13.912 * * [simplify]: iteration 2: (312 enodes) 14.011 * * [simplify]: iteration 3: (562 enodes) 14.370 * * [simplify]: iteration 4: (1379 enodes) 15.626 * * [simplify]: Extracting #0: cost 71 inf + 0 15.628 * * [simplify]: Extracting #1: cost 644 inf + 6 15.632 * * [simplify]: Extracting #2: cost 919 inf + 10785 15.656 * * [simplify]: Extracting #3: cost 447 inf + 95613 15.697 * * [simplify]: Extracting #4: cost 140 inf + 182121 15.745 * * [simplify]: Extracting #5: cost 13 inf + 235156 15.816 * * [simplify]: Extracting #6: cost 0 inf + 240735 15.869 * [simplify]: Simplified to: (expm1 (/ (/ 1 N) N)) (log1p (/ (/ 1 N) N)) (log (* (cbrt (exp (/ (/ 1 N) N))) (cbrt (exp (/ (/ 1 N) N))))) (log (cbrt (exp (/ (/ 1 N) N)))) (log (sqrt (exp (/ (/ 1 N) N)))) (log (sqrt (exp (/ (/ 1 N) N)))) 0 (/ (/ 1 N) N) (/ (/ 1 N) N) (* (cbrt (/ (/ 1 N) N)) (cbrt (/ (/ 1 N) N))) (fabs (/ 1 N)) (/ 1 N) (/ 1 N) (/ 1 N) 1 1 (* -2 (log N)) (exp (/ (/ 1 N) N)) (* (cbrt (/ (/ 1 N) N)) (cbrt (/ (/ 1 N) N))) (cbrt (/ (/ 1 N) N)) (* (/ (/ 1 N) (* N N)) (/ (/ 1 N) (* N N))) (fabs (/ 1 N)) (fabs (/ 1 N)) (expm1 (/ (/ (/ 1/3 N) N) N)) (log1p (/ (/ (/ 1/3 N) N) N)) (log (* (cbrt (exp (/ (/ (/ 1/3 N) N) N))) (cbrt (exp (/ (/ (/ 1/3 N) N) N))))) (log (cbrt (exp (/ (/ (/ 1/3 N) N) N)))) (log (sqrt (exp (/ (/ (/ 1/3 N) N) N)))) (log (sqrt (exp (/ (/ (/ 1/3 N) N) N)))) 0 (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N) (* (cbrt (/ (/ (/ 1/3 N) N) N)) (cbrt (/ (/ (/ 1/3 N) N) N))) (sqrt (/ (/ (/ 1/3 N) N) N)) (* (/ (cbrt (/ 1/3 N)) N) (cbrt (/ 1/3 N))) (/ (sqrt (/ 1/3 N)) N) (* (/ (cbrt 1/3) (cbrt N)) (/ (/ (cbrt 1/3) (cbrt N)) N)) (/ (* (cbrt 1/3) (/ (cbrt 1/3) N)) (sqrt N)) (/ (cbrt 1/3) (/ N (cbrt 1/3))) (/ (/ (sqrt 1/3) (cbrt N)) (* (cbrt N) N)) (/ (/ (sqrt 1/3) N) (sqrt N)) (/ (sqrt 1/3) N) (/ 1 (* (cbrt N) (* (cbrt N) N))) (/ 1 (* N (sqrt N))) (/ 1 N) (/ 1 N) (/ 1/3 N) 1 (/ 1/3 N) (log (/ (/ (/ 1/3 N) N) N)) (exp (/ (/ (/ 1/3 N) N) N)) (* (cbrt (/ (/ (/ 1/3 N) N) N)) (cbrt (/ (/ (/ 1/3 N) N) N))) (cbrt (/ (/ (/ 1/3 N) N) N)) (* (/ (/ (/ 1/3 N) N) N) (* (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N))) (sqrt (/ (/ (/ 1/3 N) N) N)) (sqrt (/ (/ (/ 1/3 N) N) N)) (expm1 (/ 1/3 N)) (log1p (/ 1/3 N)) (log (/ 1/3 N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (/ (/ 1/27 N) (* N N)) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (/ (/ 1/27 N) (* N N)) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) -1/3 (- N) (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (* (/ (cbrt 1/3) (sqrt N)) (cbrt 1/3)) (/ (cbrt 1/3) (sqrt N)) (* (cbrt 1/3) (cbrt 1/3)) (/ (cbrt 1/3) N) (/ (/ (sqrt 1/3) (cbrt N)) (cbrt N)) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (sqrt 1/3) (/ (sqrt 1/3) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) 1 (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ (/ 1/3 (cbrt N)) (cbrt N)) (/ 1/3 (sqrt N)) 1/3 (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (expm1 (/ (/ 1 N) N)) (log1p (/ (/ 1 N) N)) -2 -1 -2 -2 -1 -2 (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (exp (/ (/ 1 N) N)) (* (/ (/ 1 N) (* N N)) (/ (/ 1 N) (* N N))) (* (/ (/ 1 N) (* N N)) (/ (/ 1 N) (* N N))) (* (cbrt (/ (/ 1 N) N)) (cbrt (/ (/ 1 N) N))) (cbrt (/ (/ 1 N) N)) (* (/ (/ 1 N) (* N N)) (/ (/ 1 N) (* N N))) (fabs (/ 1 N)) (fabs (/ 1 N)) -1 (* N (- N)) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 N) (/ (/ 1 N) N) (* N N) (/ 1 N) (* N N) (* N N) (* N N) (/ (/ 1 N) N) (/ (/ 1 N) N) (/ (/ 1 N) N) (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ (/ 1 N) N) (/ (/ 1 N) N) (/ (/ 1 N) N) 15.878 * * * [progress]: adding candidates to table 17.353 * [progress]: [Phase 3 of 3] Extracting. 17.353 * * [regime]: Finding splitpoints for: (# # #) 17.353 * * * [regime-changes]: Trying 1 branch expressions: (N) 17.353 * * * * [regimes]: Trying to branch on N from (# # #) 17.377 * * * [regime]: Found split indices: #