0.003 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.081 * * * [progress]: [2/2] Setting up program. 0.085 * [progress]: [Phase 2 of 3] Improving. 0.085 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.085 * [simplify]: Simplifying (- (log (+ N 1)) (log N)) 0.085 * * [simplify]: iters left: 5 (6 enodes) 0.089 * * [simplify]: iters left: 4 (23 enodes) 0.096 * * [simplify]: iters left: 3 (28 enodes) 0.104 * * [simplify]: Extracting #0: cost 1 inf + 0 0.104 * * [simplify]: Extracting #1: cost 5 inf + 0 0.104 * * [simplify]: Extracting #2: cost 10 inf + 0 0.104 * * [simplify]: Extracting #3: cost 11 inf + 1 0.104 * * [simplify]: Extracting #4: cost 6 inf + 228 0.104 * * [simplify]: Extracting #5: cost 1 inf + 896 0.105 * * [simplify]: Extracting #6: cost 0 inf + 1118 0.105 * [simplify]: Simplified to (- (log (+ 1 N)) (log N)) 0.105 * [simplify]: Simplified (2) to (λ (N) (- (log (+ 1 N)) (log N))) 0.110 * * [progress]: iteration 1 / 4 0.110 * * * [progress]: picking best candidate 0.129 * * * * [pick]: Picked # 0.129 * * * [progress]: localizing error 0.151 * * * [progress]: generating rewritten candidates 0.151 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.154 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.162 * * * [progress]: generating series expansions 0.162 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.162 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.162 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.162 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.163 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [taylor]: Taking taylor expansion of 1 in N 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (+ 0 1) into 1 0.163 * [backup-simplify]: Simplify (log 1) into 0 0.163 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.163 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.164 * [taylor]: Taking taylor expansion of 1 in N 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (+ 0 1) into 1 0.164 * [backup-simplify]: Simplify (log 1) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (+ 1 0) into 1 0.165 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.165 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.168 * [backup-simplify]: Simplify -1/2 into -1/2 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [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 0.171 * [backup-simplify]: Simplify 1/3 into 1/3 0.171 * [backup-simplify]: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 0.171 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.171 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.171 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.171 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.171 * [taylor]: Taking taylor expansion of N in N 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [taylor]: Taking taylor expansion of 1 in N 0.171 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [backup-simplify]: Simplify (log 1) into 0 0.172 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) 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 0.172 * [taylor]: Taking taylor expansion of 1 in N 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.173 * [backup-simplify]: Simplify (log 1) into 0 0.173 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.173 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (+ 0 1) into 1 0.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.177 * [backup-simplify]: Simplify -1/2 into -1/2 0.177 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.177 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.177 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.177 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.177 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.177 * [taylor]: Taking taylor expansion of 1 in N 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [backup-simplify]: Simplify (- 1) into -1 0.178 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.178 * [backup-simplify]: Simplify (log -1) into (log -1) 0.178 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.178 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.178 * [taylor]: Taking taylor expansion of 1 in N 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.179 * [backup-simplify]: Simplify (- 1) into -1 0.179 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.179 * [backup-simplify]: Simplify (log -1) into (log -1) 0.180 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.180 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (- 0) into 0 0.181 * [backup-simplify]: Simplify (+ 1 0) into 1 0.182 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) 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) 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 -1/2 into -1/2 0.185 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.185 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.185 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.185 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.185 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.185 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.185 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [taylor]: Taking taylor expansion of 1 in N 0.185 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (+ 0 1) into 1 0.186 * [backup-simplify]: Simplify (log 1) into 0 0.186 * [taylor]: Taking taylor expansion of (log N) in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (log 1) into 0 0.186 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.186 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.186 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of 1 in N 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (+ 0 1) into 1 0.187 * [backup-simplify]: Simplify (log 1) into 0 0.187 * [taylor]: Taking taylor expansion of (log N) in N 0.187 * [taylor]: Taking taylor expansion of N in N 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (log 1) into 0 0.187 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.187 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.188 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.188 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.188 * [backup-simplify]: Simplify (+ 1 0) into 1 0.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.189 * [backup-simplify]: Simplify (- 0) into 0 0.190 * [backup-simplify]: Simplify (+ 1 0) into 1 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.193 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.194 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.194 * [backup-simplify]: Simplify -1/2 into -1/2 0.194 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.194 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.194 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.194 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.194 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [taylor]: Taking taylor expansion of 1 in N 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (+ 1 0) into 1 0.195 * [backup-simplify]: Simplify (log 1) into 0 0.195 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.195 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.195 * [taylor]: Taking taylor expansion of N in N 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [backup-simplify]: Simplify (log 1) into 0 0.196 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.196 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 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 * [taylor]: Taking taylor expansion of 1 in N 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (+ 1 0) into 1 0.197 * [backup-simplify]: Simplify (log 1) into 0 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 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 0 0.198 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.198 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.198 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.198 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 1) into 1 0.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ 1 0) into 1 0.201 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.206 * [backup-simplify]: Simplify -1/2 into -1/2 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.213 * [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 0.213 * [backup-simplify]: Simplify (- 0) into 0 0.213 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.213 * [backup-simplify]: Simplify 1/3 into 1/3 0.214 * [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)))) 0.214 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.214 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.214 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.214 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.214 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.214 * [taylor]: Taking taylor expansion of 1 in N 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.214 * [taylor]: Taking taylor expansion of N in N 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [backup-simplify]: Simplify (- 1) into -1 0.215 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.215 * [backup-simplify]: Simplify (log -1) into (log -1) 0.215 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.215 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.215 * [taylor]: Taking taylor expansion of -1 in N 0.215 * [backup-simplify]: Simplify -1 into -1 0.215 * [taylor]: Taking taylor expansion of N in N 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ -1 1) into -1 0.216 * [backup-simplify]: Simplify (log -1) into (log -1) 0.216 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.216 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.216 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.216 * [taylor]: Taking taylor expansion of 1 in N 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.216 * [taylor]: Taking taylor expansion of N in N 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.220 * [backup-simplify]: Simplify (- 1) into -1 0.220 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.221 * [backup-simplify]: Simplify (log -1) into (log -1) 0.221 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.221 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.221 * [taylor]: Taking taylor expansion of -1 in N 0.221 * [backup-simplify]: Simplify -1 into -1 0.221 * [taylor]: Taking taylor expansion of N in N 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (/ -1 1) into -1 0.221 * [backup-simplify]: Simplify (log -1) into (log -1) 0.222 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.223 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.223 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.223 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify (+ 1 0) into 1 0.225 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify (+ -1 0) into -1 0.227 * [backup-simplify]: Simplify -1 into -1 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.234 * [backup-simplify]: Simplify (- 0) into 0 0.234 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.234 * [backup-simplify]: Simplify -1/2 into -1/2 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (- 0) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [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 0.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [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 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.249 * [backup-simplify]: Simplify -1/3 into -1/3 0.249 * [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)))) 0.249 * * * [progress]: simplifying candidates 0.249 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.250 * [simplify]: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 0.250 * * [simplify]: iters left: 6 (6 enodes) 0.253 * * [simplify]: iters left: 5 (23 enodes) 0.260 * * [simplify]: iters left: 4 (27 enodes) 0.268 * * [simplify]: Extracting #0: cost 1 inf + 0 0.268 * * [simplify]: Extracting #1: cost 4 inf + 0 0.268 * * [simplify]: Extracting #2: cost 7 inf + 0 0.268 * * [simplify]: Extracting #3: cost 9 inf + 0 0.268 * * [simplify]: Extracting #4: cost 12 inf + 0 0.268 * * [simplify]: Extracting #5: cost 10 inf + 2 0.268 * * [simplify]: Extracting #6: cost 8 inf + 86 0.269 * * [simplify]: Extracting #7: cost 1 inf + 1270 0.269 * * [simplify]: Extracting #8: cost 0 inf + 1502 0.269 * [simplify]: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 0.269 * [simplify]: Simplified (2 1 1) to (λ (N) (- (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ N 1)))) (log N))) 0.269 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.270 * [simplify]: Simplifying (log (sqrt (+ N 1))) 0.270 * * [simplify]: iters left: 4 (5 enodes) 0.273 * * [simplify]: iters left: 3 (18 enodes) 0.278 * * [simplify]: iters left: 2 (20 enodes) 0.284 * * [simplify]: Extracting #0: cost 1 inf + 0 0.284 * * [simplify]: Extracting #1: cost 3 inf + 0 0.284 * * [simplify]: Extracting #2: cost 5 inf + 0 0.284 * * [simplify]: Extracting #3: cost 8 inf + 0 0.284 * * [simplify]: Extracting #4: cost 6 inf + 2 0.284 * * [simplify]: Extracting #5: cost 0 inf + 554 0.284 * [simplify]: Simplified to (log (sqrt (+ 1 N))) 0.285 * [simplify]: Simplified (2 1 1) to (λ (N) (- (+ (log (sqrt (+ 1 N))) (log (sqrt (+ N 1)))) (log N))) 0.285 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.285 * [simplify]: Simplifying (log 1) 0.285 * * [simplify]: iters left: 1 (2 enodes) 0.287 * * [simplify]: Extracting #0: cost 1 inf + 0 0.287 * * [simplify]: Extracting #1: cost 0 inf + 1 0.287 * [simplify]: Simplified to 0 0.287 * [simplify]: Simplified (2 1 1) to (λ (N) (- (+ 0 (log (+ N 1))) (log N))) 0.287 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.288 * [simplify]: Simplifying (log 1) 0.288 * * [simplify]: iters left: 1 (2 enodes) 0.290 * * [simplify]: Extracting #0: cost 1 inf + 0 0.290 * * [simplify]: Extracting #1: cost 0 inf + 1 0.290 * [simplify]: Simplified to 0 0.290 * [simplify]: Simplified (2 1 1) to (λ (N) (- (+ 0 (log (+ N 1))) (log N))) 0.290 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.290 * [simplify]: Simplifying (log (+ (pow N 3) (pow 1 3))) 0.290 * * [simplify]: iters left: 4 (7 enodes) 0.295 * * [simplify]: iters left: 3 (32 enodes) 0.307 * * [simplify]: iters left: 2 (50 enodes) 0.324 * * [simplify]: iters left: 1 (76 enodes) 0.348 * * [simplify]: Extracting #0: cost 1 inf + 0 0.348 * * [simplify]: Extracting #1: cost 3 inf + 0 0.348 * * [simplify]: Extracting #2: cost 6 inf + 0 0.348 * * [simplify]: Extracting #3: cost 13 inf + 1 0.348 * * [simplify]: Extracting #4: cost 19 inf + 3 0.348 * * [simplify]: Extracting #5: cost 11 inf + 1653 0.349 * * [simplify]: Extracting #6: cost 2 inf + 4395 0.349 * * [simplify]: Extracting #7: cost 0 inf + 4215 0.350 * [simplify]: Simplified to (log (+ 1 (* (* N N) N))) 0.350 * [simplify]: Simplified (2 1 1) to (λ (N) (- (- (log (+ 1 (* (* N N) N))) (log (+ (* N N) (- (* 1 1) (* N 1))))) (log N))) 0.350 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.351 * [simplify]: Simplifying (log (- (* N N) (* 1 1))) 0.351 * * [simplify]: iters left: 5 (6 enodes) 0.354 * * [simplify]: iters left: 4 (21 enodes) 0.361 * * [simplify]: iters left: 3 (28 enodes) 0.371 * * [simplify]: iters left: 2 (38 enodes) 0.383 * * [simplify]: iters left: 1 (59 enodes) 0.405 * * [simplify]: Extracting #0: cost 1 inf + 0 0.405 * * [simplify]: Extracting #1: cost 5 inf + 0 0.405 * * [simplify]: Extracting #2: cost 16 inf + 0 0.405 * * [simplify]: Extracting #3: cost 25 inf + 2 0.405 * * [simplify]: Extracting #4: cost 15 inf + 570 0.406 * * [simplify]: Extracting #5: cost 3 inf + 1563 0.407 * * [simplify]: Extracting #6: cost 0 inf + 1829 0.408 * [simplify]: Simplified to (log (+ -1 (* N N))) 0.408 * [simplify]: Simplified (2 1 1) to (λ (N) (- (- (log (+ -1 (* N N))) (log (- N 1))) (log N))) 0.408 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.408 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.409 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.409 * [simplify]: Simplifying (+ N 1) 0.409 * * [simplify]: iters left: 2 (3 enodes) 0.411 * * [simplify]: iters left: 1 (12 enodes) 0.415 * * [simplify]: Extracting #0: cost 1 inf + 0 0.415 * * [simplify]: Extracting #1: cost 4 inf + 0 0.415 * * [simplify]: Extracting #2: cost 2 inf + 2 0.415 * * [simplify]: Extracting #3: cost 0 inf + 86 0.415 * [simplify]: Simplified to (+ 1 N) 0.415 * [simplify]: Simplified (2 1 1) to (λ (N) (- (log (+ 1 N)) (log N))) 0.415 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.415 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.415 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.415 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.415 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.415 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.415 * * * * [progress]: [ 16 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.415 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.416 * [simplify]: Simplifying (/ (+ N 1) N) 0.416 * * [simplify]: iters left: 4 (4 enodes) 0.418 * * [simplify]: iters left: 3 (15 enodes) 0.423 * * [simplify]: iters left: 2 (17 enodes) 0.428 * * [simplify]: Extracting #0: cost 1 inf + 0 0.428 * * [simplify]: Extracting #1: cost 4 inf + 0 0.428 * * [simplify]: Extracting #2: cost 5 inf + 1 0.428 * * [simplify]: Extracting #3: cost 3 inf + 44 0.428 * * [simplify]: Extracting #4: cost 1 inf + 168 0.428 * * [simplify]: Extracting #5: cost 0 inf + 250 0.429 * [simplify]: Simplified to (/ (+ 1 N) N) 0.429 * [simplify]: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) 0.429 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.429 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.429 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.429 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.429 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.429 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.429 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.429 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.429 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.429 * * * * [progress]: [ 27 / 49 ] simplifiying candidate # 0.429 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.429 * [simplify]: Simplifying (+ (sqrt (log (+ N 1))) (sqrt (log N))) 0.430 * * [simplify]: iters left: 6 (8 enodes) 0.431 * * [simplify]: iters left: 5 (28 enodes) 0.435 * * [simplify]: iters left: 4 (30 enodes) 0.440 * * [simplify]: Extracting #0: cost 1 inf + 0 0.440 * * [simplify]: Extracting #1: cost 4 inf + 0 0.440 * * [simplify]: Extracting #2: cost 8 inf + 0 0.440 * * [simplify]: Extracting #3: cost 12 inf + 0 0.440 * * [simplify]: Extracting #4: cost 10 inf + 254 0.440 * * [simplify]: Extracting #5: cost 8 inf + 366 0.440 * * [simplify]: Extracting #6: cost 5 inf + 562 0.440 * * [simplify]: Extracting #7: cost 1 inf + 1280 0.440 * * [simplify]: Extracting #8: cost 0 inf + 1582 0.441 * [simplify]: Simplified to (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) 0.441 * [simplify]: Simplified (2 1) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) (- (sqrt (log (+ N 1))) (sqrt (log N))))) 0.441 * [simplify]: Simplifying (- (sqrt (log (+ N 1))) (sqrt (log N))) 0.441 * * [simplify]: iters left: 6 (8 enodes) 0.443 * * [simplify]: iters left: 5 (29 enodes) 0.448 * * [simplify]: iters left: 4 (34 enodes) 0.455 * * [simplify]: Extracting #0: cost 1 inf + 0 0.455 * * [simplify]: Extracting #1: cost 5 inf + 0 0.455 * * [simplify]: Extracting #2: cost 10 inf + 0 0.455 * * [simplify]: Extracting #3: cost 14 inf + 0 0.455 * * [simplify]: Extracting #4: cost 15 inf + 1 0.455 * * [simplify]: Extracting #5: cost 13 inf + 73 0.456 * * [simplify]: Extracting #6: cost 5 inf + 864 0.456 * * [simplify]: Extracting #7: cost 0 inf + 1884 0.457 * [simplify]: Simplified to (- (sqrt (log (+ 1 N))) (sqrt (log N))) 0.457 * [simplify]: Simplified (2 2) to (λ (N) (* (+ (sqrt (log (+ N 1))) (sqrt (log N))) (- (sqrt (log (+ 1 N))) (sqrt (log N))))) 0.457 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.457 * [simplify]: Simplifying (- (log (+ N 1)) (log N)) 0.457 * * [simplify]: iters left: 5 (6 enodes) 0.460 * * [simplify]: iters left: 4 (23 enodes) 0.468 * * [simplify]: iters left: 3 (28 enodes) 0.475 * * [simplify]: Extracting #0: cost 1 inf + 0 0.475 * * [simplify]: Extracting #1: cost 5 inf + 0 0.476 * * [simplify]: Extracting #2: cost 10 inf + 0 0.476 * * [simplify]: Extracting #3: cost 11 inf + 1 0.476 * * [simplify]: Extracting #4: cost 6 inf + 228 0.476 * * [simplify]: Extracting #5: cost 1 inf + 896 0.476 * * [simplify]: Extracting #6: cost 0 inf + 1118 0.477 * [simplify]: Simplified to (- (log (+ 1 N)) (log N)) 0.477 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (log (+ 1 N)) (log N)))) 0.477 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.477 * [simplify]: Simplifying (- (log (+ N 1)) (log N)) 0.477 * * [simplify]: iters left: 5 (6 enodes) 0.480 * * [simplify]: iters left: 4 (23 enodes) 0.487 * * [simplify]: iters left: 3 (28 enodes) 0.495 * * [simplify]: Extracting #0: cost 1 inf + 0 0.495 * * [simplify]: Extracting #1: cost 5 inf + 0 0.495 * * [simplify]: Extracting #2: cost 10 inf + 0 0.495 * * [simplify]: Extracting #3: cost 11 inf + 1 0.495 * * [simplify]: Extracting #4: cost 6 inf + 228 0.496 * * [simplify]: Extracting #5: cost 1 inf + 896 0.496 * * [simplify]: Extracting #6: cost 0 inf + 1118 0.496 * [simplify]: Simplified to (- (log (+ 1 N)) (log N)) 0.496 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (log (+ 1 N)) (log N)))) 0.497 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.497 * [simplify]: Simplifying (- (log (+ N 1)) (log N)) 0.497 * * [simplify]: iters left: 5 (6 enodes) 0.500 * * [simplify]: iters left: 4 (23 enodes) 0.509 * * [simplify]: iters left: 3 (28 enodes) 0.516 * * [simplify]: Extracting #0: cost 1 inf + 0 0.516 * * [simplify]: Extracting #1: cost 5 inf + 0 0.516 * * [simplify]: Extracting #2: cost 10 inf + 0 0.516 * * [simplify]: Extracting #3: cost 11 inf + 1 0.516 * * [simplify]: Extracting #4: cost 6 inf + 228 0.517 * * [simplify]: Extracting #5: cost 1 inf + 896 0.517 * * [simplify]: Extracting #6: cost 0 inf + 1118 0.517 * [simplify]: Simplified to (- (log (+ 1 N)) (log N)) 0.517 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (log (+ 1 N)) (log N)))) 0.517 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.518 * [simplify]: Simplifying (- (log (+ N 1)) (log N)) 0.518 * * [simplify]: iters left: 5 (6 enodes) 0.521 * * [simplify]: iters left: 4 (23 enodes) 0.527 * * [simplify]: iters left: 3 (28 enodes) 0.535 * * [simplify]: Extracting #0: cost 1 inf + 0 0.535 * * [simplify]: Extracting #1: cost 5 inf + 0 0.535 * * [simplify]: Extracting #2: cost 10 inf + 0 0.535 * * [simplify]: Extracting #3: cost 11 inf + 1 0.535 * * [simplify]: Extracting #4: cost 6 inf + 228 0.536 * * [simplify]: Extracting #5: cost 1 inf + 896 0.536 * * [simplify]: Extracting #6: cost 0 inf + 1118 0.536 * [simplify]: Simplified to (- (log (+ 1 N)) (log N)) 0.536 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (log (+ 1 N)) (log N)))) 0.536 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.537 * [simplify]: Simplifying (log (cbrt N)) 0.537 * * [simplify]: iters left: 2 (3 enodes) 0.538 * * [simplify]: iters left: 1 (9 enodes) 0.540 * * [simplify]: Extracting #0: cost 1 inf + 0 0.540 * * [simplify]: Extracting #1: cost 3 inf + 0 0.540 * * [simplify]: Extracting #2: cost 5 inf + 0 0.540 * * [simplify]: Extracting #3: cost 4 inf + 1 0.540 * * [simplify]: Extracting #4: cost 0 inf + 465 0.541 * [simplify]: Simplified to (log (cbrt N)) 0.541 * [simplify]: Simplified (2 2) to (λ (N) (- (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))) (log (cbrt N)))) 0.541 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.541 * [simplify]: Simplifying (log (sqrt N)) 0.541 * * [simplify]: iters left: 2 (3 enodes) 0.542 * * [simplify]: iters left: 1 (9 enodes) 0.545 * * [simplify]: Extracting #0: cost 1 inf + 0 0.545 * * [simplify]: Extracting #1: cost 3 inf + 0 0.545 * * [simplify]: Extracting #2: cost 5 inf + 0 0.545 * * [simplify]: Extracting #3: cost 4 inf + 1 0.545 * * [simplify]: Extracting #4: cost 0 inf + 305 0.545 * [simplify]: Simplified to (log (sqrt N)) 0.545 * [simplify]: Simplified (2 2) to (λ (N) (- (- (log (+ N 1)) (log (sqrt N))) (log (sqrt N)))) 0.545 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.545 * [simplify]: Simplifying (log N) 0.545 * * [simplify]: iters left: 1 (2 enodes) 0.546 * * [simplify]: Extracting #0: cost 1 inf + 0 0.546 * * [simplify]: Extracting #1: cost 3 inf + 0 0.546 * * [simplify]: Extracting #2: cost 2 inf + 1 0.546 * * [simplify]: Extracting #3: cost 0 inf + 143 0.546 * [simplify]: Simplified to (log N) 0.546 * [simplify]: Simplified (2 2) to (λ (N) (- (- (log (+ N 1)) (log 1)) (log N))) 0.546 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.547 * [simplify]: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 0.547 * * [simplify]: iters left: 6 (6 enodes) 0.550 * * [simplify]: iters left: 5 (23 enodes) 0.556 * * [simplify]: iters left: 4 (27 enodes) 0.563 * * [simplify]: Extracting #0: cost 1 inf + 0 0.563 * * [simplify]: Extracting #1: cost 4 inf + 0 0.563 * * [simplify]: Extracting #2: cost 7 inf + 0 0.564 * * [simplify]: Extracting #3: cost 9 inf + 0 0.564 * * [simplify]: Extracting #4: cost 12 inf + 0 0.564 * * [simplify]: Extracting #5: cost 10 inf + 2 0.564 * * [simplify]: Extracting #6: cost 8 inf + 86 0.564 * * [simplify]: Extracting #7: cost 1 inf + 1270 0.564 * * [simplify]: Extracting #8: cost 0 inf + 1502 0.565 * [simplify]: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 0.565 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (- (log (cbrt (+ N 1))) (log N)))) 0.565 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.565 * [simplify]: Simplifying (log (sqrt (+ N 1))) 0.565 * * [simplify]: iters left: 4 (5 enodes) 0.568 * * [simplify]: iters left: 3 (18 enodes) 0.573 * * [simplify]: iters left: 2 (20 enodes) 0.578 * * [simplify]: Extracting #0: cost 1 inf + 0 0.578 * * [simplify]: Extracting #1: cost 3 inf + 0 0.578 * * [simplify]: Extracting #2: cost 5 inf + 0 0.578 * * [simplify]: Extracting #3: cost 8 inf + 0 0.578 * * [simplify]: Extracting #4: cost 6 inf + 2 0.578 * * [simplify]: Extracting #5: cost 0 inf + 554 0.578 * [simplify]: Simplified to (log (sqrt (+ 1 N))) 0.579 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (sqrt (+ 1 N))) (- (log (sqrt (+ N 1))) (log N)))) 0.579 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.579 * [simplify]: Simplifying (log 1) 0.579 * * [simplify]: iters left: 1 (2 enodes) 0.581 * * [simplify]: Extracting #0: cost 1 inf + 0 0.581 * * [simplify]: Extracting #1: cost 0 inf + 1 0.581 * [simplify]: Simplified to 0 0.581 * [simplify]: Simplified (2 1) to (λ (N) (+ 0 (- (log (+ N 1)) (log N)))) 0.581 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.582 * [simplify]: Simplifying (log 1) 0.582 * * [simplify]: iters left: 1 (2 enodes) 0.584 * * [simplify]: Extracting #0: cost 1 inf + 0 0.584 * * [simplify]: Extracting #1: cost 0 inf + 1 0.584 * [simplify]: Simplified to 0 0.584 * [simplify]: Simplified (2 1) to (λ (N) (+ 0 (- (log (+ N 1)) (log N)))) 0.584 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.584 * [simplify]: Simplifying (log (+ (pow N 3) (pow 1 3))) 0.584 * * [simplify]: iters left: 4 (7 enodes) 0.589 * * [simplify]: iters left: 3 (32 enodes) 0.600 * * [simplify]: iters left: 2 (50 enodes) 0.616 * * [simplify]: iters left: 1 (76 enodes) 0.640 * * [simplify]: Extracting #0: cost 1 inf + 0 0.640 * * [simplify]: Extracting #1: cost 3 inf + 0 0.641 * * [simplify]: Extracting #2: cost 6 inf + 0 0.641 * * [simplify]: Extracting #3: cost 13 inf + 1 0.641 * * [simplify]: Extracting #4: cost 19 inf + 3 0.641 * * [simplify]: Extracting #5: cost 11 inf + 1653 0.642 * * [simplify]: Extracting #6: cost 2 inf + 4395 0.642 * * [simplify]: Extracting #7: cost 0 inf + 4215 0.643 * [simplify]: Simplified to (log (+ 1 (* (* N N) N))) 0.643 * [simplify]: Simplified (2 1) to (λ (N) (- (log (+ 1 (* (* N N) N))) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)))) 0.643 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.644 * [simplify]: Simplifying (log (- (* N N) (* 1 1))) 0.644 * * [simplify]: iters left: 5 (6 enodes) 0.647 * * [simplify]: iters left: 4 (21 enodes) 0.655 * * [simplify]: iters left: 3 (28 enodes) 0.663 * * [simplify]: iters left: 2 (38 enodes) 0.674 * * [simplify]: iters left: 1 (59 enodes) 0.693 * * [simplify]: Extracting #0: cost 1 inf + 0 0.693 * * [simplify]: Extracting #1: cost 5 inf + 0 0.694 * * [simplify]: Extracting #2: cost 16 inf + 0 0.694 * * [simplify]: Extracting #3: cost 25 inf + 2 0.694 * * [simplify]: Extracting #4: cost 15 inf + 570 0.695 * * [simplify]: Extracting #5: cost 3 inf + 1563 0.696 * * [simplify]: Extracting #6: cost 0 inf + 1829 0.697 * [simplify]: Simplified to (log (+ -1 (* N N))) 0.697 * [simplify]: Simplified (2 1) to (λ (N) (- (log (+ -1 (* N N))) (+ (log (- N 1)) (log N)))) 0.697 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.697 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.697 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.698 * [simplify]: Simplifying (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 0.698 * * [simplify]: iters left: 6 (11 enodes) 0.705 * * [simplify]: iters left: 5 (51 enodes) 0.724 * * [simplify]: iters left: 4 (104 enodes) 0.762 * * [simplify]: iters left: 3 (193 enodes) 0.813 * * [simplify]: iters left: 2 (303 enodes) 0.913 * * [simplify]: Extracting #0: cost 1 inf + 0 0.914 * * [simplify]: Extracting #1: cost 14 inf + 0 0.914 * * [simplify]: Extracting #2: cost 58 inf + 42 0.915 * * [simplify]: Extracting #3: cost 103 inf + 495 0.917 * * [simplify]: Extracting #4: cost 68 inf + 4250 0.921 * * [simplify]: Extracting #5: cost 24 inf + 18384 0.927 * * [simplify]: Extracting #6: cost 0 inf + 30897 0.934 * * [simplify]: Extracting #7: cost 0 inf + 30777 0.940 * [simplify]: Simplified to (+ (* N (* N (+ -1/2 (* N 1/3)))) N) 0.940 * [simplify]: Simplified (2 1) to (λ (N) (- (+ (* N (* N (+ -1/2 (* N 1/3)))) N) (log N))) 0.941 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.941 * [simplify]: Simplifying (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.941 * * [simplify]: iters left: 6 (11 enodes) 0.945 * * [simplify]: iters left: 5 (51 enodes) 0.953 * * [simplify]: iters left: 4 (72 enodes) 0.963 * * [simplify]: iters left: 3 (103 enodes) 0.980 * * [simplify]: iters left: 2 (138 enodes) 1.021 * * [simplify]: iters left: 1 (194 enodes) 1.060 * * [simplify]: Extracting #0: cost 1 inf + 0 1.060 * * [simplify]: Extracting #1: cost 27 inf + 0 1.061 * * [simplify]: Extracting #2: cost 66 inf + 1 1.061 * * [simplify]: Extracting #3: cost 68 inf + 6 1.062 * * [simplify]: Extracting #4: cost 35 inf + 2821 1.065 * * [simplify]: Extracting #5: cost 5 inf + 7314 1.069 * * [simplify]: Extracting #6: cost 0 inf + 8328 1.073 * [simplify]: Simplified to (+ (/ 1 N) (- (log N) (/ 1/2 (* N N)))) 1.073 * [simplify]: Simplified (2 1) to (λ (N) (- (+ (/ 1 N) (- (log N) (/ 1/2 (* N N)))) (log N))) 1.073 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 1.073 * [simplify]: Simplifying (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 1.074 * * [simplify]: iters left: 6 (15 enodes) 1.082 * * [simplify]: iters left: 5 (64 enodes) 1.105 * * [simplify]: iters left: 4 (108 enodes) 1.126 * * [simplify]: iters left: 3 (221 enodes) 1.207 * * [simplify]: iters left: 2 (449 enodes) 1.400 * * [simplify]: Extracting #0: cost 1 inf + 0 1.401 * * [simplify]: Extracting #1: cost 103 inf + 0 1.402 * * [simplify]: Extracting #2: cost 257 inf + 1 1.405 * * [simplify]: Extracting #3: cost 216 inf + 8293 1.423 * * [simplify]: Extracting #4: cost 27 inf + 48808 1.445 * * [simplify]: Extracting #5: cost 0 inf + 56449 1.467 * [simplify]: Simplified to (+ (/ (/ -1/2 N) N) (+ (/ 1 N) (log N))) 1.467 * [simplify]: Simplified (2 1) to (λ (N) (- (+ (/ (/ -1/2 N) N) (+ (/ 1 N) (log N))) (log N))) 1.467 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 1.467 * [simplify]: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1.467 * * [simplify]: iters left: 6 (8 enodes) 1.472 * * [simplify]: iters left: 5 (35 enodes) 1.483 * * [simplify]: iters left: 4 (56 enodes) 1.501 * * [simplify]: iters left: 3 (95 enodes) 1.531 * * [simplify]: iters left: 2 (128 enodes) 1.565 * * [simplify]: iters left: 1 (162 enodes) 1.593 * * [simplify]: Extracting #0: cost 1 inf + 0 1.593 * * [simplify]: Extracting #1: cost 16 inf + 0 1.593 * * [simplify]: Extracting #2: cost 33 inf + 1 1.593 * * [simplify]: Extracting #3: cost 30 inf + 525 1.594 * * [simplify]: Extracting #4: cost 6 inf + 3093 1.595 * * [simplify]: Extracting #5: cost 0 inf + 4025 1.596 * * [simplify]: Extracting #6: cost 0 inf + 3985 1.597 * [simplify]: Simplified to (- N (+ (log N) (* N (* N 1/2)))) 1.597 * [simplify]: Simplified (2) to (λ (N) (- N (+ (log N) (* N (* N 1/2))))) 1.597 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 1.597 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1.597 * * [simplify]: iters left: 6 (15 enodes) 1.603 * * [simplify]: iters left: 5 (68 enodes) 1.616 * * [simplify]: iters left: 4 (114 enodes) 1.637 * * [simplify]: iters left: 3 (170 enodes) 1.689 * * [simplify]: iters left: 2 (278 enodes) 1.761 * * [simplify]: Extracting #0: cost 1 inf + 0 1.761 * * [simplify]: Extracting #1: cost 11 inf + 0 1.761 * * [simplify]: Extracting #2: cost 69 inf + 0 1.761 * * [simplify]: Extracting #3: cost 110 inf + 741 1.762 * * [simplify]: Extracting #4: cost 88 inf + 3078 1.764 * * [simplify]: Extracting #5: cost 40 inf + 17981 1.767 * * [simplify]: Extracting #6: cost 6 inf + 30433 1.771 * * [simplify]: Extracting #7: cost 0 inf + 32845 1.774 * * [simplify]: Extracting #8: cost 0 inf + 32765 1.778 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 1.778 * [simplify]: Simplified (2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 1.778 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 1.778 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1.778 * * [simplify]: iters left: 6 (15 enodes) 1.784 * * [simplify]: iters left: 5 (68 enodes) 1.808 * * [simplify]: iters left: 4 (114 enodes) 1.842 * * [simplify]: iters left: 3 (170 enodes) 1.900 * * [simplify]: iters left: 2 (278 enodes) 1.986 * * [simplify]: Extracting #0: cost 1 inf + 0 1.986 * * [simplify]: Extracting #1: cost 11 inf + 0 1.987 * * [simplify]: Extracting #2: cost 69 inf + 0 1.987 * * [simplify]: Extracting #3: cost 110 inf + 741 1.989 * * [simplify]: Extracting #4: cost 88 inf + 3078 1.995 * * [simplify]: Extracting #5: cost 40 inf + 17981 2.002 * * [simplify]: Extracting #6: cost 6 inf + 30433 2.009 * * [simplify]: Extracting #7: cost 0 inf + 32845 2.016 * * [simplify]: Extracting #8: cost 0 inf + 32765 2.023 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 2.024 * [simplify]: Simplified (2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 2.024 * * * [progress]: adding candidates to table 2.510 * * [progress]: iteration 2 / 4 2.510 * * * [progress]: picking best candidate 2.514 * * * * [pick]: Picked # 2.514 * * * [progress]: localizing error 2.522 * * * [progress]: generating rewritten candidates 2.522 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.526 * * * [progress]: generating series expansions 2.526 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.527 * [backup-simplify]: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 2.527 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 2.527 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.527 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.527 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.527 * [taylor]: Taking taylor expansion of N in N 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 1 into 1 2.527 * [taylor]: Taking taylor expansion of 1 in N 2.527 * [backup-simplify]: Simplify 1 into 1 2.527 * [taylor]: Taking taylor expansion of N in N 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 1 into 1 2.528 * [backup-simplify]: Simplify (+ 0 1) into 1 2.528 * [backup-simplify]: Simplify (/ 1 1) into 1 2.529 * [backup-simplify]: Simplify (log 1) into 0 2.529 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.529 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.529 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.529 * [taylor]: Taking taylor expansion of N in N 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify 1 into 1 2.529 * [taylor]: Taking taylor expansion of 1 in N 2.529 * [backup-simplify]: Simplify 1 into 1 2.529 * [taylor]: Taking taylor expansion of N in N 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify 1 into 1 2.529 * [backup-simplify]: Simplify (+ 0 1) into 1 2.530 * [backup-simplify]: Simplify (/ 1 1) into 1 2.530 * [backup-simplify]: Simplify (log 1) into 0 2.531 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.531 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.531 * [backup-simplify]: Simplify (+ 1 0) into 1 2.532 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.534 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.534 * [backup-simplify]: Simplify 1 into 1 2.534 * [backup-simplify]: Simplify (+ 0 0) into 0 2.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.538 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.538 * [backup-simplify]: Simplify -1/2 into -1/2 2.538 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 2.538 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 2.538 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 2.538 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.538 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.538 * [taylor]: Taking taylor expansion of N in N 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify 1 into 1 2.539 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.539 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.539 * [taylor]: Taking taylor expansion of N in N 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify 1 into 1 2.539 * [backup-simplify]: Simplify (/ 1 1) into 1 2.539 * [taylor]: Taking taylor expansion of 1 in N 2.539 * [backup-simplify]: Simplify 1 into 1 2.540 * [backup-simplify]: Simplify (+ 1 0) into 1 2.540 * [backup-simplify]: Simplify (* 0 1) into 0 2.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.542 * [backup-simplify]: Simplify (+ 0 1) into 1 2.542 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.543 * [backup-simplify]: Simplify (log 1) into 0 2.543 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.543 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.543 * [taylor]: Taking taylor expansion of N in N 2.543 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify 1 into 1 2.543 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.543 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.543 * [taylor]: Taking taylor expansion of N in N 2.543 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify 1 into 1 2.543 * [backup-simplify]: Simplify (/ 1 1) into 1 2.543 * [taylor]: Taking taylor expansion of 1 in N 2.543 * [backup-simplify]: Simplify 1 into 1 2.544 * [backup-simplify]: Simplify (+ 1 0) into 1 2.544 * [backup-simplify]: Simplify (* 0 1) into 0 2.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.545 * [backup-simplify]: Simplify (+ 0 1) into 1 2.546 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.546 * [backup-simplify]: Simplify (log 1) into 0 2.546 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.548 * [backup-simplify]: Simplify (+ 0 0) into 0 2.549 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.550 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.550 * [backup-simplify]: Simplify 1 into 1 2.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.551 * [backup-simplify]: Simplify (+ 0 0) into 0 2.552 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.556 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.556 * [backup-simplify]: Simplify -1/2 into -1/2 2.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.558 * [backup-simplify]: Simplify (+ 0 0) into 0 2.559 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.565 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 2.565 * [backup-simplify]: Simplify 1/3 into 1/3 2.565 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.565 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 2.566 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 2.566 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.566 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.566 * [taylor]: Taking taylor expansion of -1 in N 2.566 * [backup-simplify]: Simplify -1 into -1 2.566 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.566 * [taylor]: Taking taylor expansion of N in N 2.566 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify 1 into 1 2.566 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.566 * [taylor]: Taking taylor expansion of 1 in N 2.566 * [backup-simplify]: Simplify 1 into 1 2.566 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.566 * [taylor]: Taking taylor expansion of N in N 2.566 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify 1 into 1 2.567 * [backup-simplify]: Simplify (/ 1 1) into 1 2.567 * [backup-simplify]: Simplify (- 1) into -1 2.567 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.568 * [backup-simplify]: Simplify (* 0 -1) into 0 2.568 * [backup-simplify]: Simplify (* -1 0) into 0 2.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.569 * [backup-simplify]: Simplify (- 0) into 0 2.570 * [backup-simplify]: Simplify (+ 1 0) into 1 2.570 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.571 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.571 * [backup-simplify]: Simplify (log 1) into 0 2.571 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.571 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.571 * [taylor]: Taking taylor expansion of -1 in N 2.571 * [backup-simplify]: Simplify -1 into -1 2.571 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.571 * [taylor]: Taking taylor expansion of N in N 2.571 * [backup-simplify]: Simplify 0 into 0 2.571 * [backup-simplify]: Simplify 1 into 1 2.571 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.571 * [taylor]: Taking taylor expansion of 1 in N 2.571 * [backup-simplify]: Simplify 1 into 1 2.571 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.571 * [taylor]: Taking taylor expansion of N in N 2.571 * [backup-simplify]: Simplify 0 into 0 2.571 * [backup-simplify]: Simplify 1 into 1 2.571 * [backup-simplify]: Simplify (/ 1 1) into 1 2.572 * [backup-simplify]: Simplify (- 1) into -1 2.572 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.572 * [backup-simplify]: Simplify (* 0 -1) into 0 2.572 * [backup-simplify]: Simplify (* -1 0) into 0 2.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.573 * [backup-simplify]: Simplify (- 0) into 0 2.573 * [backup-simplify]: Simplify (+ 1 0) into 1 2.574 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.574 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.574 * [backup-simplify]: Simplify (log 1) into 0 2.574 * [backup-simplify]: Simplify 0 into 0 2.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.575 * [backup-simplify]: Simplify (- 0) into 0 2.576 * [backup-simplify]: Simplify (+ 0 0) into 0 2.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.577 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 2.577 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.578 * [backup-simplify]: Simplify -1 into -1 2.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.578 * [backup-simplify]: Simplify (- 0) into 0 2.579 * [backup-simplify]: Simplify (+ 0 0) into 0 2.580 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.581 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 2.582 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.582 * [backup-simplify]: Simplify -1/2 into -1/2 2.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.583 * [backup-simplify]: Simplify (- 0) into 0 2.584 * [backup-simplify]: Simplify (+ 0 0) into 0 2.585 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.585 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 2.588 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 2.588 * [backup-simplify]: Simplify -1/3 into -1/3 2.589 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.589 * * * [progress]: simplifying candidates 2.589 * * * * [progress]: [ 1 / 31 ] simplifiying candidate # 2.589 * [simplify]: Simplifying (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 2.589 * * [simplify]: iters left: 6 (7 enodes) 2.591 * * [simplify]: iters left: 5 (26 enodes) 2.595 * * [simplify]: iters left: 4 (30 enodes) 2.601 * * [simplify]: Extracting #0: cost 1 inf + 0 2.601 * * [simplify]: Extracting #1: cost 4 inf + 0 2.601 * * [simplify]: Extracting #2: cost 7 inf + 0 2.601 * * [simplify]: Extracting #3: cost 9 inf + 0 2.601 * * [simplify]: Extracting #4: cost 12 inf + 0 2.601 * * [simplify]: Extracting #5: cost 13 inf + 1 2.601 * * [simplify]: Extracting #6: cost 12 inf + 2 2.601 * * [simplify]: Extracting #7: cost 8 inf + 250 2.601 * * [simplify]: Extracting #8: cost 4 inf + 1078 2.601 * * [simplify]: Extracting #9: cost 1 inf + 1714 2.602 * * [simplify]: Extracting #10: cost 0 inf + 1986 2.603 * [simplify]: Simplified to (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 2.603 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ N 1) N))))) 2.603 * * * * [progress]: [ 2 / 31 ] simplifiying candidate # 2.603 * [simplify]: Simplifying (log (sqrt (/ (+ N 1) N))) 2.603 * * [simplify]: iters left: 6 (6 enodes) 2.606 * * [simplify]: iters left: 5 (21 enodes) 2.613 * * [simplify]: iters left: 4 (23 enodes) 2.622 * * [simplify]: Extracting #0: cost 1 inf + 0 2.622 * * [simplify]: Extracting #1: cost 3 inf + 0 2.622 * * [simplify]: Extracting #2: cost 5 inf + 0 2.622 * * [simplify]: Extracting #3: cost 8 inf + 0 2.622 * * [simplify]: Extracting #4: cost 9 inf + 1 2.622 * * [simplify]: Extracting #5: cost 8 inf + 2 2.622 * * [simplify]: Extracting #6: cost 0 inf + 878 2.622 * [simplify]: Simplified to (log (sqrt (/ (+ 1 N) N))) 2.622 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) 2.622 * * * * [progress]: [ 3 / 31 ] simplifiying candidate # 2.623 * [simplify]: Simplifying (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) 2.623 * * [simplify]: iters left: 6 (9 enodes) 2.625 * * [simplify]: iters left: 5 (39 enodes) 2.632 * * [simplify]: iters left: 4 (72 enodes) 2.643 * * [simplify]: iters left: 3 (110 enodes) 2.672 * * [simplify]: iters left: 2 (143 enodes) 2.694 * * [simplify]: iters left: 1 (186 enodes) 2.736 * * [simplify]: Extracting #0: cost 1 inf + 0 2.736 * * [simplify]: Extracting #1: cost 20 inf + 0 2.736 * * [simplify]: Extracting #2: cost 44 inf + 0 2.737 * * [simplify]: Extracting #3: cost 55 inf + 0 2.737 * * [simplify]: Extracting #4: cost 56 inf + 1 2.737 * * [simplify]: Extracting #5: cost 47 inf + 1170 2.738 * * [simplify]: Extracting #6: cost 20 inf + 7579 2.740 * * [simplify]: Extracting #7: cost 4 inf + 12291 2.742 * * [simplify]: Extracting #8: cost 0 inf + 13689 2.745 * [simplify]: Simplified to (log (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N)))) 2.745 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))))) 2.745 * * * * [progress]: [ 4 / 31 ] simplifiying candidate # 2.745 * [simplify]: Simplifying (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) 2.745 * * [simplify]: iters left: 6 (8 enodes) 2.747 * * [simplify]: iters left: 5 (32 enodes) 2.752 * * [simplify]: iters left: 4 (48 enodes) 2.760 * * [simplify]: iters left: 3 (65 enodes) 2.769 * * [simplify]: iters left: 2 (74 enodes) 2.779 * * [simplify]: iters left: 1 (83 enodes) 2.799 * * [simplify]: Extracting #0: cost 1 inf + 0 2.799 * * [simplify]: Extracting #1: cost 11 inf + 0 2.799 * * [simplify]: Extracting #2: cost 24 inf + 0 2.799 * * [simplify]: Extracting #3: cost 31 inf + 0 2.800 * * [simplify]: Extracting #4: cost 30 inf + 153 2.800 * * [simplify]: Extracting #5: cost 25 inf + 608 2.801 * * [simplify]: Extracting #6: cost 16 inf + 1996 2.802 * * [simplify]: Extracting #7: cost 3 inf + 5022 2.804 * * [simplify]: Extracting #8: cost 0 inf + 5848 2.806 * [simplify]: Simplified to (log (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N)))) 2.806 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N)))) (log (/ (cbrt (+ N 1)) (sqrt N))))) 2.806 * * * * [progress]: [ 5 / 31 ] simplifiying candidate # 2.806 * [simplify]: Simplifying (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) 2.806 * * [simplify]: iters left: 6 (7 enodes) 2.812 * * [simplify]: iters left: 5 (27 enodes) 2.821 * * [simplify]: iters left: 4 (41 enodes) 2.832 * * [simplify]: iters left: 3 (52 enodes) 2.847 * * [simplify]: iters left: 2 (61 enodes) 2.862 * * [simplify]: iters left: 1 (68 enodes) 2.878 * * [simplify]: Extracting #0: cost 1 inf + 0 2.878 * * [simplify]: Extracting #1: cost 7 inf + 0 2.878 * * [simplify]: Extracting #2: cost 12 inf + 1 2.879 * * [simplify]: Extracting #3: cost 14 inf + 2 2.879 * * [simplify]: Extracting #4: cost 16 inf + 2 2.879 * * [simplify]: Extracting #5: cost 15 inf + 3 2.879 * * [simplify]: Extracting #6: cost 11 inf + 371 2.879 * * [simplify]: Extracting #7: cost 2 inf + 2059 2.880 * * [simplify]: Extracting #8: cost 0 inf + 2563 2.881 * [simplify]: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 2.881 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (/ (cbrt (+ N 1)) N)))) 2.882 * * * * [progress]: [ 6 / 31 ] simplifiying candidate # 2.882 * [simplify]: Simplifying (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) 2.882 * * [simplify]: iters left: 6 (8 enodes) 2.887 * * [simplify]: iters left: 5 (32 enodes) 2.897 * * [simplify]: iters left: 4 (46 enodes) 2.908 * * [simplify]: iters left: 3 (56 enodes) 2.923 * * [simplify]: iters left: 2 (64 enodes) 2.932 * * [simplify]: iters left: 1 (72 enodes) 2.942 * * [simplify]: Extracting #0: cost 1 inf + 0 2.942 * * [simplify]: Extracting #1: cost 13 inf + 0 2.943 * * [simplify]: Extracting #2: cost 28 inf + 0 2.943 * * [simplify]: Extracting #3: cost 34 inf + 0 2.943 * * [simplify]: Extracting #4: cost 30 inf + 626 2.943 * * [simplify]: Extracting #5: cost 24 inf + 1512 2.944 * * [simplify]: Extracting #6: cost 12 inf + 3500 2.948 * * [simplify]: Extracting #7: cost 2 inf + 6210 2.950 * * [simplify]: Extracting #8: cost 0 inf + 6764 2.951 * [simplify]: Simplified to (log (/ (/ (sqrt (+ 1 N)) (cbrt N)) (cbrt N))) 2.951 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (/ (/ (sqrt (+ 1 N)) (cbrt N)) (cbrt N))) (log (/ (sqrt (+ N 1)) (cbrt N))))) 2.952 * * * * [progress]: [ 7 / 31 ] simplifiying candidate # 2.952 * [simplify]: Simplifying (log (/ (sqrt (+ N 1)) (sqrt N))) 2.952 * * [simplify]: iters left: 6 (7 enodes) 2.956 * * [simplify]: iters left: 5 (27 enodes) 2.964 * * [simplify]: iters left: 4 (35 enodes) 2.974 * * [simplify]: iters left: 3 (38 enodes) 2.985 * * [simplify]: Extracting #0: cost 1 inf + 0 2.985 * * [simplify]: Extracting #1: cost 6 inf + 0 2.985 * * [simplify]: Extracting #2: cost 12 inf + 0 2.986 * * [simplify]: Extracting #3: cost 16 inf + 0 2.986 * * [simplify]: Extracting #4: cost 17 inf + 1 2.986 * * [simplify]: Extracting #5: cost 10 inf + 608 2.986 * * [simplify]: Extracting #6: cost 7 inf + 774 2.986 * * [simplify]: Extracting #7: cost 4 inf + 1170 2.986 * * [simplify]: Extracting #8: cost 0 inf + 1948 2.987 * [simplify]: Simplified to (log (/ (sqrt (+ 1 N)) (sqrt N))) 2.987 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))))) 2.987 * * * * [progress]: [ 8 / 31 ] simplifiying candidate # 2.987 * [simplify]: Simplifying (log (/ (sqrt (+ N 1)) 1)) 2.987 * * [simplify]: iters left: 6 (6 enodes) 2.989 * * [simplify]: iters left: 5 (22 enodes) 2.992 * * [simplify]: iters left: 4 (26 enodes) 2.996 * * [simplify]: Extracting #0: cost 1 inf + 0 2.996 * * [simplify]: Extracting #1: cost 4 inf + 0 2.996 * * [simplify]: Extracting #2: cost 6 inf + 1 2.996 * * [simplify]: Extracting #3: cost 7 inf + 2 2.996 * * [simplify]: Extracting #4: cost 6 inf + 3 2.996 * * [simplify]: Extracting #5: cost 1 inf + 403 2.996 * * [simplify]: Extracting #6: cost 0 inf + 555 2.996 * [simplify]: Simplified to (log (sqrt (+ 1 N))) 2.996 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ N 1)) N)))) 2.996 * * * * [progress]: [ 9 / 31 ] simplifiying candidate # 2.996 * [simplify]: Simplifying (log (/ 1 (* (cbrt N) (cbrt N)))) 2.997 * * [simplify]: iters left: 6 (6 enodes) 2.998 * * [simplify]: iters left: 5 (26 enodes) 3.002 * * [simplify]: iters left: 4 (36 enodes) 3.008 * * [simplify]: iters left: 3 (43 enodes) 3.014 * * [simplify]: iters left: 2 (49 enodes) 3.024 * * [simplify]: iters left: 1 (64 enodes) 3.033 * * [simplify]: Extracting #0: cost 1 inf + 0 3.033 * * [simplify]: Extracting #1: cost 7 inf + 0 3.033 * * [simplify]: Extracting #2: cost 14 inf + 1 3.033 * * [simplify]: Extracting #3: cost 17 inf + 2 3.033 * * [simplify]: Extracting #4: cost 16 inf + 3 3.033 * * [simplify]: Extracting #5: cost 8 inf + 1092 3.034 * * [simplify]: Extracting #6: cost 0 inf + 2503 3.034 * [simplify]: Simplified to (+ (- (log (cbrt N))) (- (log (cbrt N)))) 3.034 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ N 1) (cbrt N))))) 3.034 * * * * [progress]: [ 10 / 31 ] simplifiying candidate # 3.034 * [simplify]: Simplifying (log (/ 1 (sqrt N))) 3.034 * * [simplify]: iters left: 4 (5 enodes) 3.036 * * [simplify]: iters left: 3 (21 enodes) 3.042 * * [simplify]: iters left: 2 (25 enodes) 3.049 * * [simplify]: Extracting #0: cost 1 inf + 0 3.049 * * [simplify]: Extracting #1: cost 5 inf + 0 3.049 * * [simplify]: Extracting #2: cost 8 inf + 1 3.049 * * [simplify]: Extracting #3: cost 9 inf + 2 3.049 * * [simplify]: Extracting #4: cost 8 inf + 3 3.049 * * [simplify]: Extracting #5: cost 2 inf + 512 3.049 * * [simplify]: Extracting #6: cost 0 inf + 774 3.050 * * [simplify]: Extracting #7: cost 0 inf + 773 3.050 * [simplify]: Simplified to (- (log (sqrt N))) 3.050 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))))) 3.050 * * * * [progress]: [ 11 / 31 ] simplifiying candidate # 3.050 * [simplify]: Simplifying (log (/ 1 1)) 3.050 * * [simplify]: iters left: 3 (3 enodes) 3.052 * * [simplify]: iters left: 2 (12 enodes) 3.053 * * [simplify]: Extracting #0: cost 1 inf + 0 3.053 * * [simplify]: Extracting #1: cost 0 inf + 1 3.053 * [simplify]: Simplified to 0 3.054 * [simplify]: Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ N 1) N)))) 3.054 * * * * [progress]: [ 12 / 31 ] simplifiying candidate # 3.054 * [simplify]: Simplifying (log (/ 1 (* (cbrt N) (cbrt N)))) 3.054 * * [simplify]: iters left: 6 (6 enodes) 3.057 * * [simplify]: iters left: 5 (26 enodes) 3.061 * * [simplify]: iters left: 4 (36 enodes) 3.066 * * [simplify]: iters left: 3 (43 enodes) 3.072 * * [simplify]: iters left: 2 (49 enodes) 3.085 * * [simplify]: iters left: 1 (64 enodes) 3.100 * * [simplify]: Extracting #0: cost 1 inf + 0 3.101 * * [simplify]: Extracting #1: cost 7 inf + 0 3.101 * * [simplify]: Extracting #2: cost 14 inf + 1 3.101 * * [simplify]: Extracting #3: cost 17 inf + 2 3.101 * * [simplify]: Extracting #4: cost 16 inf + 3 3.101 * * [simplify]: Extracting #5: cost 8 inf + 1092 3.101 * * [simplify]: Extracting #6: cost 0 inf + 2503 3.102 * [simplify]: Simplified to (+ (- (log (cbrt N))) (- (log (cbrt N)))) 3.102 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ N 1) (cbrt N))))) 3.102 * * * * [progress]: [ 13 / 31 ] simplifiying candidate # 3.102 * [simplify]: Simplifying (log (/ 1 (sqrt N))) 3.102 * * [simplify]: iters left: 4 (5 enodes) 3.104 * * [simplify]: iters left: 3 (21 enodes) 3.107 * * [simplify]: iters left: 2 (25 enodes) 3.110 * * [simplify]: Extracting #0: cost 1 inf + 0 3.110 * * [simplify]: Extracting #1: cost 5 inf + 0 3.110 * * [simplify]: Extracting #2: cost 8 inf + 1 3.110 * * [simplify]: Extracting #3: cost 9 inf + 2 3.110 * * [simplify]: Extracting #4: cost 8 inf + 3 3.110 * * [simplify]: Extracting #5: cost 2 inf + 512 3.110 * * [simplify]: Extracting #6: cost 0 inf + 774 3.110 * * [simplify]: Extracting #7: cost 0 inf + 773 3.110 * [simplify]: Simplified to (- (log (sqrt N))) 3.110 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))))) 3.111 * * * * [progress]: [ 14 / 31 ] simplifiying candidate # 3.111 * [simplify]: Simplifying (log (/ 1 1)) 3.111 * * [simplify]: iters left: 3 (3 enodes) 3.113 * * [simplify]: iters left: 2 (12 enodes) 3.114 * * [simplify]: Extracting #0: cost 1 inf + 0 3.114 * * [simplify]: Extracting #1: cost 0 inf + 1 3.114 * [simplify]: Simplified to 0 3.114 * [simplify]: Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ N 1) N)))) 3.114 * * * * [progress]: [ 15 / 31 ] simplifiying candidate # 3.114 * [simplify]: Simplifying (log 1) 3.114 * * [simplify]: iters left: 1 (2 enodes) 3.116 * * [simplify]: Extracting #0: cost 1 inf + 0 3.116 * * [simplify]: Extracting #1: cost 0 inf + 1 3.116 * [simplify]: Simplified to 0 3.116 * [simplify]: Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ N 1) N)))) 3.116 * * * * [progress]: [ 16 / 31 ] simplifiying candidate # 3.116 * [simplify]: Simplifying (log (+ N 1)) 3.116 * * [simplify]: iters left: 3 (4 enodes) 3.117 * * [simplify]: iters left: 2 (15 enodes) 3.119 * * [simplify]: iters left: 1 (17 enodes) 3.122 * * [simplify]: Extracting #0: cost 1 inf + 0 3.122 * * [simplify]: Extracting #1: cost 3 inf + 0 3.122 * * [simplify]: Extracting #2: cost 6 inf + 0 3.122 * * [simplify]: Extracting #3: cost 4 inf + 2 3.122 * * [simplify]: Extracting #4: cost 0 inf + 310 3.122 * [simplify]: Simplified to (log (+ 1 N)) 3.122 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (+ 1 N)) (log (/ 1 N)))) 3.122 * * * * [progress]: [ 17 / 31 ] simplifiying candidate # 3.122 * [simplify]: Simplifying (log (+ N 1)) 3.123 * * [simplify]: iters left: 3 (4 enodes) 3.124 * * [simplify]: iters left: 2 (15 enodes) 3.126 * * [simplify]: iters left: 1 (17 enodes) 3.131 * * [simplify]: Extracting #0: cost 1 inf + 0 3.131 * * [simplify]: Extracting #1: cost 3 inf + 0 3.131 * * [simplify]: Extracting #2: cost 6 inf + 0 3.131 * * [simplify]: Extracting #3: cost 4 inf + 2 3.132 * * [simplify]: Extracting #4: cost 0 inf + 310 3.132 * [simplify]: Simplified to (log (+ 1 N)) 3.132 * [simplify]: Simplified (2 1) to (λ (N) (- (log (+ 1 N)) (log N))) 3.132 * * * * [progress]: [ 18 / 31 ] simplifiying candidate # 3.132 * * * * [progress]: [ 19 / 31 ] simplifiying candidate # 3.132 * * * * [progress]: [ 20 / 31 ] simplifiying candidate # 3.132 * [simplify]: Simplifying (log (+ N 1)) 3.132 * * [simplify]: iters left: 3 (4 enodes) 3.135 * * [simplify]: iters left: 2 (15 enodes) 3.140 * * [simplify]: iters left: 1 (17 enodes) 3.145 * * [simplify]: Extracting #0: cost 1 inf + 0 3.145 * * [simplify]: Extracting #1: cost 3 inf + 0 3.145 * * [simplify]: Extracting #2: cost 6 inf + 0 3.145 * * [simplify]: Extracting #3: cost 4 inf + 2 3.145 * * [simplify]: Extracting #4: cost 0 inf + 310 3.145 * [simplify]: Simplified to (log (+ 1 N)) 3.145 * [simplify]: Simplified (2 1) to (λ (N) (- (log (+ 1 N)) (log N))) 3.146 * * * * [progress]: [ 21 / 31 ] simplifiying candidate # 3.146 * [simplify]: Simplifying (/ (+ N 1) N) 3.146 * * [simplify]: iters left: 4 (4 enodes) 3.148 * * [simplify]: iters left: 3 (15 enodes) 3.153 * * [simplify]: iters left: 2 (17 enodes) 3.158 * * [simplify]: Extracting #0: cost 1 inf + 0 3.158 * * [simplify]: Extracting #1: cost 4 inf + 0 3.158 * * [simplify]: Extracting #2: cost 5 inf + 1 3.158 * * [simplify]: Extracting #3: cost 3 inf + 44 3.158 * * [simplify]: Extracting #4: cost 1 inf + 168 3.158 * * [simplify]: Extracting #5: cost 0 inf + 250 3.158 * [simplify]: Simplified to (/ (+ 1 N) N) 3.158 * [simplify]: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) 3.158 * * * * [progress]: [ 22 / 31 ] simplifiying candidate # 3.158 * * * * [progress]: [ 23 / 31 ] simplifiying candidate # 3.158 * * * * [progress]: [ 24 / 31 ] simplifiying candidate # 3.158 * * * * [progress]: [ 25 / 31 ] simplifiying candidate # 3.158 * * * * [progress]: [ 26 / 31 ] simplifiying candidate # 3.158 * * * * [progress]: [ 27 / 31 ] simplifiying candidate # 3.158 * * * * [progress]: [ 28 / 31 ] simplifiying candidate #real (real->posit16 (log (/ (+ N 1) N)))))> 3.158 * * * * [progress]: [ 29 / 31 ] simplifiying candidate # 3.158 * [simplify]: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 3.159 * * [simplify]: iters left: 6 (8 enodes) 3.161 * * [simplify]: iters left: 5 (35 enodes) 3.169 * * [simplify]: iters left: 4 (56 enodes) 3.178 * * [simplify]: iters left: 3 (95 enodes) 3.194 * * [simplify]: iters left: 2 (128 enodes) 3.216 * * [simplify]: iters left: 1 (162 enodes) 3.263 * * [simplify]: Extracting #0: cost 1 inf + 0 3.263 * * [simplify]: Extracting #1: cost 16 inf + 0 3.263 * * [simplify]: Extracting #2: cost 33 inf + 1 3.263 * * [simplify]: Extracting #3: cost 30 inf + 525 3.265 * * [simplify]: Extracting #4: cost 6 inf + 3093 3.269 * * [simplify]: Extracting #5: cost 0 inf + 4025 3.271 * * [simplify]: Extracting #6: cost 0 inf + 3985 3.273 * [simplify]: Simplified to (- N (+ (log N) (* N (* N 1/2)))) 3.274 * [simplify]: Simplified (2) to (λ (N) (- N (+ (log N) (* N (* N 1/2))))) 3.274 * * * * [progress]: [ 30 / 31 ] simplifiying candidate # 3.274 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 3.274 * * [simplify]: iters left: 6 (15 enodes) 3.285 * * [simplify]: iters left: 5 (68 enodes) 3.307 * * [simplify]: iters left: 4 (114 enodes) 3.326 * * [simplify]: iters left: 3 (170 enodes) 3.365 * * [simplify]: iters left: 2 (278 enodes) 3.413 * * [simplify]: Extracting #0: cost 1 inf + 0 3.413 * * [simplify]: Extracting #1: cost 11 inf + 0 3.413 * * [simplify]: Extracting #2: cost 69 inf + 0 3.414 * * [simplify]: Extracting #3: cost 110 inf + 741 3.415 * * [simplify]: Extracting #4: cost 88 inf + 3078 3.417 * * [simplify]: Extracting #5: cost 40 inf + 17981 3.420 * * [simplify]: Extracting #6: cost 6 inf + 30433 3.424 * * [simplify]: Extracting #7: cost 0 inf + 32845 3.428 * * [simplify]: Extracting #8: cost 0 inf + 32765 3.431 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 3.431 * [simplify]: Simplified (2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 3.431 * * * * [progress]: [ 31 / 31 ] simplifiying candidate # 3.431 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 3.432 * * [simplify]: iters left: 6 (15 enodes) 3.437 * * [simplify]: iters left: 5 (68 enodes) 3.454 * * [simplify]: iters left: 4 (114 enodes) 3.479 * * [simplify]: iters left: 3 (170 enodes) 3.535 * * [simplify]: iters left: 2 (278 enodes) 3.615 * * [simplify]: Extracting #0: cost 1 inf + 0 3.615 * * [simplify]: Extracting #1: cost 11 inf + 0 3.616 * * [simplify]: Extracting #2: cost 69 inf + 0 3.616 * * [simplify]: Extracting #3: cost 110 inf + 741 3.617 * * [simplify]: Extracting #4: cost 88 inf + 3078 3.619 * * [simplify]: Extracting #5: cost 40 inf + 17981 3.622 * * [simplify]: Extracting #6: cost 6 inf + 30433 3.625 * * [simplify]: Extracting #7: cost 0 inf + 32845 3.629 * * [simplify]: Extracting #8: cost 0 inf + 32765 3.632 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 3.632 * [simplify]: Simplified (2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 3.633 * * * [progress]: adding candidates to table 3.873 * * [progress]: iteration 3 / 4 3.873 * * * [progress]: picking best candidate 3.877 * * * * [pick]: Picked # 3.877 * * * [progress]: localizing error 3.904 * * * [progress]: generating rewritten candidates 3.905 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 4.033 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 4.043 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 4.049 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 4.064 * * * [progress]: generating series expansions 4.064 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.064 * [backup-simplify]: Simplify (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 4.064 * [approximate]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 4.064 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 4.064 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 4.064 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.064 * [taylor]: Taking taylor expansion of N in N 4.064 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify 1 into 1 4.065 * [backup-simplify]: Simplify (/ 1 1) into 1 4.065 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 4.065 * [taylor]: Taking taylor expansion of 1/3 in N 4.065 * [backup-simplify]: Simplify 1/3 into 1/3 4.065 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 4.065 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.065 * [taylor]: Taking taylor expansion of N in N 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify 1 into 1 4.066 * [backup-simplify]: Simplify (* 1 1) into 1 4.066 * [backup-simplify]: Simplify (* 1 1) into 1 4.066 * [backup-simplify]: Simplify (/ 1 1) into 1 4.066 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 4.066 * [taylor]: Taking taylor expansion of 1/2 in N 4.066 * [backup-simplify]: Simplify 1/2 into 1/2 4.066 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.066 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.066 * [taylor]: Taking taylor expansion of N in N 4.066 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify 1 into 1 4.067 * [backup-simplify]: Simplify (* 1 1) into 1 4.067 * [backup-simplify]: Simplify (/ 1 1) into 1 4.067 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 4.067 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 4.067 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.067 * [taylor]: Taking taylor expansion of N in N 4.067 * [backup-simplify]: Simplify 0 into 0 4.067 * [backup-simplify]: Simplify 1 into 1 4.067 * [backup-simplify]: Simplify (/ 1 1) into 1 4.067 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 4.067 * [taylor]: Taking taylor expansion of 1/3 in N 4.067 * [backup-simplify]: Simplify 1/3 into 1/3 4.067 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 4.067 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.067 * [taylor]: Taking taylor expansion of N in N 4.067 * [backup-simplify]: Simplify 0 into 0 4.067 * [backup-simplify]: Simplify 1 into 1 4.068 * [backup-simplify]: Simplify (* 1 1) into 1 4.068 * [backup-simplify]: Simplify (* 1 1) into 1 4.068 * [backup-simplify]: Simplify (/ 1 1) into 1 4.068 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 4.068 * [taylor]: Taking taylor expansion of 1/2 in N 4.068 * [backup-simplify]: Simplify 1/2 into 1/2 4.068 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.068 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.068 * [taylor]: Taking taylor expansion of N in N 4.068 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify 1 into 1 4.068 * [backup-simplify]: Simplify (* 1 1) into 1 4.069 * [backup-simplify]: Simplify (/ 1 1) into 1 4.069 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.069 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 4.070 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.070 * [backup-simplify]: Simplify 1/3 into 1/3 4.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.071 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 4.072 * [backup-simplify]: Simplify (+ 0 0) into 0 4.072 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.072 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.072 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.072 * [backup-simplify]: Simplify -1/2 into -1/2 4.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.075 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 4.075 * [backup-simplify]: Simplify (+ 1 0) into 1 4.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.077 * [backup-simplify]: Simplify (- 0) into 0 4.078 * [backup-simplify]: Simplify (+ 1 0) into 1 4.078 * [backup-simplify]: Simplify 1 into 1 4.078 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 4.079 * [backup-simplify]: Simplify (+ (+ (/ 1 (/ 1 N)) (/ -1/2 (* (/ 1 N) (/ 1 N)))) (/ (/ 1/3 (* (/ 1 N) (/ 1 N))) (/ 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 4.079 * [approximate]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in (N) around 0 4.079 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 4.079 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 4.079 * [taylor]: Taking taylor expansion of N in N 4.079 * [backup-simplify]: Simplify 0 into 0 4.079 * [backup-simplify]: Simplify 1 into 1 4.079 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 4.079 * [taylor]: Taking taylor expansion of 1/3 in N 4.079 * [backup-simplify]: Simplify 1/3 into 1/3 4.079 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.079 * [taylor]: Taking taylor expansion of N in N 4.079 * [backup-simplify]: Simplify 0 into 0 4.079 * [backup-simplify]: Simplify 1 into 1 4.079 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 4.079 * [taylor]: Taking taylor expansion of 1/2 in N 4.079 * [backup-simplify]: Simplify 1/2 into 1/2 4.079 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.079 * [taylor]: Taking taylor expansion of N in N 4.079 * [backup-simplify]: Simplify 0 into 0 4.079 * [backup-simplify]: Simplify 1 into 1 4.080 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 4.080 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 4.080 * [taylor]: Taking taylor expansion of N in N 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 1 into 1 4.080 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 4.080 * [taylor]: Taking taylor expansion of 1/3 in N 4.080 * [backup-simplify]: Simplify 1/3 into 1/3 4.080 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.080 * [taylor]: Taking taylor expansion of N in N 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 1 into 1 4.080 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 4.080 * [taylor]: Taking taylor expansion of 1/2 in N 4.080 * [backup-simplify]: Simplify 1/2 into 1/2 4.080 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.080 * [taylor]: Taking taylor expansion of N in N 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 1 into 1 4.081 * [backup-simplify]: Simplify (+ 0 0) into 0 4.081 * [backup-simplify]: Simplify (+ 0 0) into 0 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify (+ 1 0) into 1 4.083 * [backup-simplify]: Simplify (+ 1 0) into 1 4.083 * [backup-simplify]: Simplify 1 into 1 4.083 * [backup-simplify]: Simplify (+ 0 0) into 0 4.084 * [backup-simplify]: Simplify (* 1 1) into 1 4.084 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.085 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.085 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.085 * [backup-simplify]: Simplify -1/2 into -1/2 4.085 * [backup-simplify]: Simplify (* 1 1) into 1 4.086 * [backup-simplify]: Simplify (* 1 1) into 1 4.086 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.087 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 4.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.088 * [backup-simplify]: Simplify (- 0) into 0 4.089 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.089 * [backup-simplify]: Simplify 1/3 into 1/3 4.089 * [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)))) 4.090 * [backup-simplify]: Simplify (+ (+ (/ 1 (/ 1 (- N))) (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N))))) (/ (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (- N)))) into (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) 4.090 * [approximate]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in (N) around 0 4.090 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 4.090 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 4.090 * [taylor]: Taking taylor expansion of N in N 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 1 into 1 4.090 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 4.090 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 4.090 * [taylor]: Taking taylor expansion of 1/2 in N 4.090 * [backup-simplify]: Simplify 1/2 into 1/2 4.090 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.090 * [taylor]: Taking taylor expansion of N in N 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 1 into 1 4.090 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 4.090 * [taylor]: Taking taylor expansion of 1/3 in N 4.091 * [backup-simplify]: Simplify 1/3 into 1/3 4.091 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.091 * [taylor]: Taking taylor expansion of N in N 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.091 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 4.091 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 4.091 * [taylor]: Taking taylor expansion of N in N 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.091 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 4.091 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 4.091 * [taylor]: Taking taylor expansion of 1/2 in N 4.091 * [backup-simplify]: Simplify 1/2 into 1/2 4.091 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.091 * [taylor]: Taking taylor expansion of N in N 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.091 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 4.091 * [taylor]: Taking taylor expansion of 1/3 in N 4.091 * [backup-simplify]: Simplify 1/3 into 1/3 4.091 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.091 * [taylor]: Taking taylor expansion of N in N 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.092 * [backup-simplify]: Simplify (+ 0 0) into 0 4.092 * [backup-simplify]: Simplify (- 0) into 0 4.092 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify (+ 1 0) into 1 4.093 * [backup-simplify]: Simplify (- 1) into -1 4.093 * [backup-simplify]: Simplify -1 into -1 4.093 * [backup-simplify]: Simplify (* 1 1) into 1 4.094 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.094 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.095 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.095 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.095 * [backup-simplify]: Simplify -1/2 into -1/2 4.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.097 * [backup-simplify]: Simplify (* 1 1) into 1 4.097 * [backup-simplify]: Simplify (* 1 1) into 1 4.098 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.098 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 4.099 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 4.099 * [backup-simplify]: Simplify (- 1/3) into -1/3 4.099 * [backup-simplify]: Simplify -1/3 into -1/3 4.099 * [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)))) 4.100 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 4.100 * [backup-simplify]: Simplify (/ 1/3 (* N N)) into (/ 1/3 (pow N 2)) 4.100 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 2)) in (N) around 0 4.100 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 4.100 * [taylor]: Taking taylor expansion of 1/3 in N 4.100 * [backup-simplify]: Simplify 1/3 into 1/3 4.100 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.100 * [taylor]: Taking taylor expansion of N in N 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.100 * [backup-simplify]: Simplify (* 1 1) into 1 4.101 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 4.101 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 4.101 * [taylor]: Taking taylor expansion of 1/3 in N 4.101 * [backup-simplify]: Simplify 1/3 into 1/3 4.101 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.101 * [taylor]: Taking taylor expansion of N in N 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 1 into 1 4.101 * [backup-simplify]: Simplify (* 1 1) into 1 4.102 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 4.102 * [backup-simplify]: Simplify 1/3 into 1/3 4.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.105 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.108 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.110 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.115 * [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 4.115 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) 4.116 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 N) (/ 1 N))) into (* 1/3 (pow N 2)) 4.116 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 2)) in (N) around 0 4.116 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 4.116 * [taylor]: Taking taylor expansion of 1/3 in N 4.116 * [backup-simplify]: Simplify 1/3 into 1/3 4.116 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.116 * [taylor]: Taking taylor expansion of N in N 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 1 into 1 4.116 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 4.116 * [taylor]: Taking taylor expansion of 1/3 in N 4.116 * [backup-simplify]: Simplify 1/3 into 1/3 4.116 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.116 * [taylor]: Taking taylor expansion of N in N 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 1 into 1 4.117 * [backup-simplify]: Simplify (* 1 1) into 1 4.117 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.117 * [backup-simplify]: Simplify 1/3 into 1/3 4.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.119 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 4.119 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.121 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.123 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.124 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.126 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.126 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.129 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.129 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.133 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.133 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) 4.133 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 1/3 (pow N 2)) 4.133 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 2)) in (N) around 0 4.133 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 4.133 * [taylor]: Taking taylor expansion of 1/3 in N 4.133 * [backup-simplify]: Simplify 1/3 into 1/3 4.133 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.133 * [taylor]: Taking taylor expansion of N in N 4.133 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify 1 into 1 4.133 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 4.133 * [taylor]: Taking taylor expansion of 1/3 in N 4.134 * [backup-simplify]: Simplify 1/3 into 1/3 4.134 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.134 * [taylor]: Taking taylor expansion of N in N 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 1 into 1 4.134 * [backup-simplify]: Simplify (* 1 1) into 1 4.135 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.135 * [backup-simplify]: Simplify 1/3 into 1/3 4.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.136 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 4.136 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.138 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 4.138 * [backup-simplify]: Simplify 0 into 0 4.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.140 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.140 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.143 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.146 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.146 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.149 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.149 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (- N)) 2)) into (/ 1/3 (pow N 2)) 4.150 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 4.150 * [backup-simplify]: Simplify (/ -1/2 (* N N)) into (/ -1/2 (pow N 2)) 4.150 * [approximate]: Taking taylor expansion of (/ -1/2 (pow N 2)) in (N) around 0 4.150 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N 4.150 * [taylor]: Taking taylor expansion of -1/2 in N 4.150 * [backup-simplify]: Simplify -1/2 into -1/2 4.150 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.150 * [taylor]: Taking taylor expansion of N in N 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 1 into 1 4.150 * [backup-simplify]: Simplify (* 1 1) into 1 4.151 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.151 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N 4.151 * [taylor]: Taking taylor expansion of -1/2 in N 4.151 * [backup-simplify]: Simplify -1/2 into -1/2 4.151 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.151 * [taylor]: Taking taylor expansion of N in N 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 1 into 1 4.151 * [backup-simplify]: Simplify (* 1 1) into 1 4.152 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.152 * [backup-simplify]: Simplify -1/2 into -1/2 4.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 4.154 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.156 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.158 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.161 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.163 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2)) 4.166 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 N) (/ 1 N))) into (* -1/2 (pow N 2)) 4.166 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0 4.167 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 4.167 * [taylor]: Taking taylor expansion of -1/2 in N 4.167 * [backup-simplify]: Simplify -1/2 into -1/2 4.167 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.167 * [taylor]: Taking taylor expansion of N in N 4.167 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify 1 into 1 4.167 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 4.167 * [taylor]: Taking taylor expansion of -1/2 in N 4.167 * [backup-simplify]: Simplify -1/2 into -1/2 4.167 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.167 * [taylor]: Taking taylor expansion of N in N 4.167 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify 1 into 1 4.167 * [backup-simplify]: Simplify (* 1 1) into 1 4.168 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 4.168 * [backup-simplify]: Simplify -1/2 into -1/2 4.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.169 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.171 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.171 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.173 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.173 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.176 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.176 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.180 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.180 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.182 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.182 * [backup-simplify]: Simplify 0 into 0 4.182 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2)) 4.182 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1/2 (pow N 2)) 4.182 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0 4.182 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 4.182 * [taylor]: Taking taylor expansion of -1/2 in N 4.182 * [backup-simplify]: Simplify -1/2 into -1/2 4.182 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.182 * [taylor]: Taking taylor expansion of N in N 4.183 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify 1 into 1 4.183 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 4.183 * [taylor]: Taking taylor expansion of -1/2 in N 4.183 * [backup-simplify]: Simplify -1/2 into -1/2 4.183 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.183 * [taylor]: Taking taylor expansion of N in N 4.183 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify 1 into 1 4.183 * [backup-simplify]: Simplify (* 1 1) into 1 4.183 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 4.183 * [backup-simplify]: Simplify -1/2 into -1/2 4.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.184 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0 4.184 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.185 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.185 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.186 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.186 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.188 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.188 * [backup-simplify]: Simplify 0 into 0 4.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.189 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.189 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.191 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 (- N)) 2)) into (/ -1/2 (pow N 2)) 4.191 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.191 * [backup-simplify]: Simplify (/ (/ 1/3 (* N N)) N) into (/ 1/3 (pow N 3)) 4.191 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 3)) in (N) around 0 4.191 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 4.191 * [taylor]: Taking taylor expansion of 1/3 in N 4.192 * [backup-simplify]: Simplify 1/3 into 1/3 4.192 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.192 * [taylor]: Taking taylor expansion of N in N 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 1 into 1 4.192 * [backup-simplify]: Simplify (* 1 1) into 1 4.192 * [backup-simplify]: Simplify (* 1 1) into 1 4.192 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 4.192 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 4.192 * [taylor]: Taking taylor expansion of 1/3 in N 4.192 * [backup-simplify]: Simplify 1/3 into 1/3 4.192 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.192 * [taylor]: Taking taylor expansion of N in N 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 1 into 1 4.193 * [backup-simplify]: Simplify (* 1 1) into 1 4.193 * [backup-simplify]: Simplify (* 1 1) into 1 4.193 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 4.193 * [backup-simplify]: Simplify 1/3 into 1/3 4.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.196 * [backup-simplify]: Simplify 0 into 0 4.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.198 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.200 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.202 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.205 * [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 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 4.205 * [backup-simplify]: Simplify (/ (/ 1/3 (* (/ 1 N) (/ 1 N))) (/ 1 N)) into (* 1/3 (pow N 3)) 4.205 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 3)) in (N) around 0 4.205 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 4.205 * [taylor]: Taking taylor expansion of 1/3 in N 4.205 * [backup-simplify]: Simplify 1/3 into 1/3 4.205 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.205 * [taylor]: Taking taylor expansion of N in N 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 1 into 1 4.205 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 4.205 * [taylor]: Taking taylor expansion of 1/3 in N 4.205 * [backup-simplify]: Simplify 1/3 into 1/3 4.205 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.205 * [taylor]: Taking taylor expansion of N in N 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 1 into 1 4.205 * [backup-simplify]: Simplify (* 1 1) into 1 4.206 * [backup-simplify]: Simplify (* 1 1) into 1 4.206 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.206 * [backup-simplify]: Simplify 1/3 into 1/3 4.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.207 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 4.207 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.209 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 4.209 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.211 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.213 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.213 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.216 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.216 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.219 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 4.219 * [backup-simplify]: Simplify (/ (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (- N))) into (* -1/3 (pow N 3)) 4.219 * [approximate]: Taking taylor expansion of (* -1/3 (pow N 3)) in (N) around 0 4.219 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 4.219 * [taylor]: Taking taylor expansion of -1/3 in N 4.219 * [backup-simplify]: Simplify -1/3 into -1/3 4.219 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.219 * [taylor]: Taking taylor expansion of N in N 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify 1 into 1 4.220 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 4.220 * [taylor]: Taking taylor expansion of -1/3 in N 4.220 * [backup-simplify]: Simplify -1/3 into -1/3 4.220 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.220 * [taylor]: Taking taylor expansion of N in N 4.220 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify 1 into 1 4.220 * [backup-simplify]: Simplify (* 1 1) into 1 4.220 * [backup-simplify]: Simplify (* 1 1) into 1 4.221 * [backup-simplify]: Simplify (* -1/3 1) into -1/3 4.221 * [backup-simplify]: Simplify -1/3 into -1/3 4.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.222 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 1)) into 0 4.222 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.224 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 1))) into 0 4.224 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.226 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.226 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.228 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.228 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.231 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.231 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.236 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.236 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (- N)) 3)) into (/ 1/3 (pow N 3)) 4.237 * * * [progress]: simplifying candidates 4.237 * * * * [progress]: [ 1 / 125 ] simplifiying candidate # 4.237 * [simplify]: Simplifying (* (* (exp (/ 1 N)) (exp (/ -1/2 (* N N)))) (exp (/ (/ 1/3 (* N N)) N))) 4.237 * * [simplify]: iters left: 6 (14 enodes) 4.245 * * [simplify]: iters left: 5 (56 enodes) 4.265 * * [simplify]: iters left: 4 (86 enodes) 4.292 * * [simplify]: iters left: 3 (117 enodes) 4.328 * * [simplify]: iters left: 2 (139 enodes) 4.366 * * [simplify]: iters left: 1 (169 enodes) 4.390 * * [simplify]: Extracting #0: cost 1 inf + 0 4.390 * * [simplify]: Extracting #1: cost 9 inf + 0 4.390 * * [simplify]: Extracting #2: cost 22 inf + 0 4.390 * * [simplify]: Extracting #3: cost 37 inf + 0 4.390 * * [simplify]: Extracting #4: cost 41 inf + 168 4.391 * * [simplify]: Extracting #5: cost 30 inf + 3160 4.392 * * [simplify]: Extracting #6: cost 9 inf + 7794 4.394 * * [simplify]: Extracting #7: cost 2 inf + 9891 4.397 * * [simplify]: Extracting #8: cost 0 inf + 10817 4.400 * [simplify]: Simplified to (exp (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 (* N N)) N)))) 4.400 * [simplify]: Simplified (2 1) to (λ (N) (log (exp (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 (* N N)) N)))))) 4.400 * * * * [progress]: [ 2 / 125 ] simplifiying candidate # 4.401 * [simplify]: Simplifying (* (exp (+ (/ 1 N) (/ -1/2 (* N N)))) (exp (/ (/ 1/3 (* N N)) N))) 4.401 * * [simplify]: iters left: 6 (13 enodes) 4.408 * * [simplify]: iters left: 5 (54 enodes) 4.427 * * [simplify]: iters left: 4 (83 enodes) 4.457 * * [simplify]: iters left: 3 (110 enodes) 4.482 * * [simplify]: iters left: 2 (135 enodes) 4.503 * * [simplify]: iters left: 1 (165 enodes) 4.548 * * [simplify]: Extracting #0: cost 1 inf + 0 4.548 * * [simplify]: Extracting #1: cost 9 inf + 0 4.548 * * [simplify]: Extracting #2: cost 22 inf + 0 4.548 * * [simplify]: Extracting #3: cost 37 inf + 0 4.549 * * [simplify]: Extracting #4: cost 42 inf + 128 4.549 * * [simplify]: Extracting #5: cost 37 inf + 1601 4.551 * * [simplify]: Extracting #6: cost 15 inf + 6657 4.556 * * [simplify]: Extracting #7: cost 3 inf + 10069 4.559 * * [simplify]: Extracting #8: cost 0 inf + 11137 4.563 * [simplify]: Simplified to (exp (+ (/ 1/3 (* N (* N N))) (+ (/ (/ -1/2 N) N) (/ 1 N)))) 4.563 * [simplify]: Simplified (2 1) to (λ (N) (log (exp (+ (/ 1/3 (* N (* N N))) (+ (/ (/ -1/2 N) N) (/ 1 N)))))) 4.563 * * * * [progress]: [ 3 / 125 ] simplifiying candidate # 4.563 * * * * [progress]: [ 4 / 125 ] simplifiying candidate # 4.563 * * * * [progress]: [ 5 / 125 ] simplifiying candidate # 4.563 * * * * [progress]: [ 6 / 125 ] simplifiying candidate # 4.563 * * * * [progress]: [ 7 / 125 ] simplifiying candidate # 4.563 * * * * [progress]: [ 8 / 125 ] simplifiying candidate # 4.563 * * * * [progress]: [ 9 / 125 ] simplifiying candidate # 4.564 * [simplify]: Simplifying (+ (* (+ (* 1 (* N N)) (* N -1/2)) N) (* (* N (* N N)) (/ 1/3 (* N N)))) 4.564 * * [simplify]: iters left: 6 (13 enodes) 4.572 * * [simplify]: iters left: 5 (56 enodes) 4.596 * * [simplify]: iters left: 4 (123 enodes) 4.629 * * [simplify]: iters left: 3 (314 enodes) 4.846 * * [simplify]: Extracting #0: cost 1 inf + 0 4.846 * * [simplify]: Extracting #1: cost 17 inf + 0 4.846 * * [simplify]: Extracting #2: cost 113 inf + 42 4.848 * * [simplify]: Extracting #3: cost 165 inf + 1357 4.853 * * [simplify]: Extracting #4: cost 70 inf + 12771 4.863 * * [simplify]: Extracting #5: cost 7 inf + 28454 4.873 * * [simplify]: Extracting #6: cost 0 inf + 31167 4.878 * [simplify]: Simplified to (* (+ (* N (+ N -1/2)) 1/3) N) 4.878 * [simplify]: Simplified (2 1) to (λ (N) (/ (* (+ (* N (+ N -1/2)) 1/3) N) (* (* N (* N N)) N))) 4.879 * [simplify]: Simplifying (* (* N (* N N)) N) 4.879 * * [simplify]: iters left: 6 (4 enodes) 4.880 * * [simplify]: iters left: 5 (16 enodes) 4.883 * * [simplify]: iters left: 4 (28 enodes) 4.890 * * [simplify]: iters left: 3 (48 enodes) 4.900 * * [simplify]: iters left: 2 (80 enodes) 4.915 * * [simplify]: iters left: 1 (128 enodes) 4.962 * * [simplify]: Extracting #0: cost 1 inf + 0 4.962 * * [simplify]: Extracting #1: cost 6 inf + 0 4.962 * * [simplify]: Extracting #2: cost 15 inf + 2 4.962 * * [simplify]: Extracting #3: cost 32 inf + 206 4.963 * * [simplify]: Extracting #4: cost 27 inf + 836 4.963 * * [simplify]: Extracting #5: cost 20 inf + 3416 4.965 * * [simplify]: Extracting #6: cost 5 inf + 9950 4.966 * * [simplify]: Extracting #7: cost 0 inf + 12225 4.968 * [simplify]: Simplified to (* (* N N) (* N N)) 4.968 * [simplify]: Simplified (2 2) to (λ (N) (/ (* (+ (* N (+ N -1/2)) 1/3) N) (* (* N N) (* N N)))) 4.968 * * * * [progress]: [ 10 / 125 ] simplifiying candidate # 4.969 * [simplify]: Simplifying (+ (* (+ (pow (/ 1 N) 3) (pow (/ -1/2 (* N N)) 3)) N) (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) (/ 1/3 (* N N)))) 4.969 * * [simplify]: iters left: 6 (20 enodes) 4.982 * * [simplify]: iters left: 5 (110 enodes) 5.033 * * [simplify]: iters left: 4 (286 enodes) 5.192 * * [simplify]: Extracting #0: cost 1 inf + 0 5.193 * * [simplify]: Extracting #1: cost 16 inf + 0 5.193 * * [simplify]: Extracting #2: cost 101 inf + 0 5.194 * * [simplify]: Extracting #3: cost 208 inf + 206 5.195 * * [simplify]: Extracting #4: cost 212 inf + 4738 5.201 * * [simplify]: Extracting #5: cost 86 inf + 29895 5.212 * * [simplify]: Extracting #6: cost 7 inf + 50960 5.223 * * [simplify]: Extracting #7: cost 0 inf + 52064 5.245 * * [simplify]: Extracting #8: cost 0 inf + 51984 5.266 * [simplify]: Simplified to (+ (/ (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (- (/ -1/2 (* N N)) (/ 1 N)))) (/ (* N N) 1/3)) (* N (+ (/ (/ -1/8 (* N (* N N))) (* N (* N N))) (/ 1 (* N (* N N)))))) 5.266 * [simplify]: Simplified (2 1) to (λ (N) (/ (+ (/ (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (- (/ -1/2 (* N N)) (/ 1 N)))) (/ (* N N) 1/3)) (* N (+ (/ (/ -1/8 (* N (* N N))) (* N (* N N))) (/ 1 (* N (* N N)))))) (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) N))) 5.267 * [simplify]: Simplifying (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) N) 5.267 * * [simplify]: iters left: 6 (12 enodes) 5.274 * * [simplify]: iters left: 5 (61 enodes) 5.299 * * [simplify]: iters left: 4 (152 enodes) 5.344 * * [simplify]: iters left: 3 (371 enodes) 5.552 * * [simplify]: Extracting #0: cost 1 inf + 0 5.552 * * [simplify]: Extracting #1: cost 10 inf + 0 5.552 * * [simplify]: Extracting #2: cost 80 inf + 1 5.553 * * [simplify]: Extracting #3: cost 217 inf + 534 5.556 * * [simplify]: Extracting #4: cost 169 inf + 10099 5.563 * * [simplify]: Extracting #5: cost 25 inf + 28704 5.580 * * [simplify]: Extracting #6: cost 3 inf + 32935 5.599 * * [simplify]: Extracting #7: cost 0 inf + 33625 5.617 * [simplify]: Simplified to (* (+ (/ 1 (* N N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (/ (/ -1/2 (* N N)) N))) N) 5.617 * [simplify]: Simplified (2 2) to (λ (N) (/ (+ (/ (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (- (/ -1/2 (* N N)) (/ 1 N)))) (/ (* N N) 1/3)) (* N (+ (/ (/ -1/8 (* N (* N N))) (* N (* N N))) (/ 1 (* N (* N N)))))) (* (+ (/ 1 (* N N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (/ (/ -1/2 (* N N)) N))) N))) 5.618 * * * * [progress]: [ 11 / 125 ] simplifiying candidate # 5.618 * [simplify]: Simplifying (+ (* (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) N) (* (- (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N N)))) 5.618 * * [simplify]: iters left: 6 (15 enodes) 5.627 * * [simplify]: iters left: 5 (70 enodes) 5.655 * * [simplify]: iters left: 4 (161 enodes) 5.716 * * [simplify]: iters left: 3 (453 enodes) 5.961 * * [simplify]: Extracting #0: cost 1 inf + 0 5.961 * * [simplify]: Extracting #1: cost 30 inf + 0 5.962 * * [simplify]: Extracting #2: cost 264 inf + 0 5.965 * * [simplify]: Extracting #3: cost 403 inf + 455 5.974 * * [simplify]: Extracting #4: cost 327 inf + 23136 5.999 * * [simplify]: Extracting #5: cost 57 inf + 69645 6.019 * * [simplify]: Extracting #6: cost 3 inf + 80946 6.056 * * [simplify]: Extracting #7: cost 0 inf + 81315 6.094 * [simplify]: Simplified to (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) 6.094 * [simplify]: Simplified (2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 6.095 * [simplify]: Simplifying (* (- (/ 1 N) (/ -1/2 (* N N))) N) 6.095 * * [simplify]: iters left: 6 (8 enodes) 6.100 * * [simplify]: iters left: 5 (31 enodes) 6.111 * * [simplify]: iters left: 4 (49 enodes) 6.120 * * [simplify]: iters left: 3 (67 enodes) 6.129 * * [simplify]: iters left: 2 (100 enodes) 6.147 * * [simplify]: iters left: 1 (143 enodes) 6.203 * * [simplify]: Extracting #0: cost 1 inf + 0 6.203 * * [simplify]: Extracting #1: cost 7 inf + 0 6.203 * * [simplify]: Extracting #2: cost 43 inf + 2 6.203 * * [simplify]: Extracting #3: cost 39 inf + 1318 6.204 * * [simplify]: Extracting #4: cost 5 inf + 4112 6.205 * * [simplify]: Extracting #5: cost 0 inf + 4484 6.207 * [simplify]: Simplified to (+ (/ 1/2 N) 1) 6.207 * [simplify]: Simplified (2 2) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (+ (/ 1/2 N) 1))) 6.207 * * * * [progress]: [ 12 / 125 ] simplifiying candidate # 6.207 * * * * [progress]: [ 13 / 125 ] simplifiying candidate # 6.207 * * * * [progress]: [ 14 / 125 ] simplifiying candidate # 6.207 * * * * [progress]: [ 15 / 125 ] simplifiying candidate # 6.207 * [simplify]: Simplifying (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 6.207 * * [simplify]: iters left: 6 (11 enodes) 6.211 * * [simplify]: iters left: 5 (45 enodes) 6.218 * * [simplify]: iters left: 4 (65 enodes) 6.229 * * [simplify]: iters left: 3 (77 enodes) 6.255 * * [simplify]: iters left: 2 (91 enodes) 6.288 * * [simplify]: iters left: 1 (121 enodes) 6.325 * * [simplify]: Extracting #0: cost 1 inf + 0 6.325 * * [simplify]: Extracting #1: cost 8 inf + 0 6.325 * * [simplify]: Extracting #2: cost 23 inf + 0 6.325 * * [simplify]: Extracting #3: cost 29 inf + 46 6.325 * * [simplify]: Extracting #4: cost 31 inf + 785 6.327 * * [simplify]: Extracting #5: cost 12 inf + 3789 6.328 * * [simplify]: Extracting #6: cost 5 inf + 5775 6.331 * * [simplify]: Extracting #7: cost 0 inf + 7799 6.332 * [simplify]: Simplified to (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 (* N N)) N)) 6.333 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 (* N N)) N)))) 6.333 * * * * [progress]: [ 16 / 125 ] simplifiying candidate # 6.333 * [simplify]: Simplifying (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 6.333 * * [simplify]: iters left: 6 (11 enodes) 6.339 * * [simplify]: iters left: 5 (45 enodes) 6.353 * * [simplify]: iters left: 4 (65 enodes) 6.373 * * [simplify]: iters left: 3 (77 enodes) 6.399 * * [simplify]: iters left: 2 (91 enodes) 6.430 * * [simplify]: iters left: 1 (121 enodes) 6.466 * * [simplify]: Extracting #0: cost 1 inf + 0 6.466 * * [simplify]: Extracting #1: cost 8 inf + 0 6.466 * * [simplify]: Extracting #2: cost 23 inf + 0 6.467 * * [simplify]: Extracting #3: cost 29 inf + 46 6.467 * * [simplify]: Extracting #4: cost 31 inf + 785 6.468 * * [simplify]: Extracting #5: cost 12 inf + 3789 6.470 * * [simplify]: Extracting #6: cost 5 inf + 5775 6.472 * * [simplify]: Extracting #7: cost 0 inf + 7799 6.474 * [simplify]: Simplified to (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 (* N N)) N)) 6.474 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 (* N N)) N)))) 6.474 * * * * [progress]: [ 17 / 125 ] simplifiying candidate # 6.474 * [simplify]: Simplifying (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 6.475 * * [simplify]: iters left: 6 (11 enodes) 6.481 * * [simplify]: iters left: 5 (45 enodes) 6.495 * * [simplify]: iters left: 4 (65 enodes) 6.508 * * [simplify]: iters left: 3 (77 enodes) 6.520 * * [simplify]: iters left: 2 (91 enodes) 6.536 * * [simplify]: iters left: 1 (121 enodes) 6.577 * * [simplify]: Extracting #0: cost 1 inf + 0 6.577 * * [simplify]: Extracting #1: cost 8 inf + 0 6.577 * * [simplify]: Extracting #2: cost 23 inf + 0 6.577 * * [simplify]: Extracting #3: cost 29 inf + 46 6.578 * * [simplify]: Extracting #4: cost 31 inf + 785 6.578 * * [simplify]: Extracting #5: cost 12 inf + 3789 6.579 * * [simplify]: Extracting #6: cost 5 inf + 5775 6.580 * * [simplify]: Extracting #7: cost 0 inf + 7799 6.581 * [simplify]: Simplified to (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 (* N N)) N)) 6.581 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 (* N N)) N)))) 6.581 * * * * [progress]: [ 18 / 125 ] simplifiying candidate # 6.581 * [simplify]: Simplifying (/ 1 N) 6.582 * * [simplify]: iters left: 2 (3 enodes) 6.583 * * [simplify]: iters left: 1 (11 enodes) 6.584 * * [simplify]: Extracting #0: cost 1 inf + 0 6.584 * * [simplify]: Extracting #1: cost 4 inf + 0 6.584 * * [simplify]: Extracting #2: cost 2 inf + 2 6.584 * * [simplify]: Extracting #3: cost 0 inf + 86 6.584 * [simplify]: Simplified to (/ 1 N) 6.585 * [simplify]: Simplified (2 1) to (λ (N) (+ (/ 1 N) (+ (/ -1/2 (* N N)) (/ (/ 1/3 (* N N)) N)))) 6.585 * * * * [progress]: [ 19 / 125 ] simplifiying candidate #real (real->posit16 (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))))> 6.585 * * * * [progress]: [ 20 / 125 ] simplifiying candidate # 6.585 * * * * [progress]: [ 21 / 125 ] simplifiying candidate # 6.585 * * * * [progress]: [ 22 / 125 ] simplifiying candidate # 6.585 * [simplify]: Simplifying (- (log 1/3) (+ (log N) (log N))) 6.585 * * [simplify]: iters left: 5 (6 enodes) 6.587 * * [simplify]: iters left: 4 (22 enodes) 6.590 * * [simplify]: iters left: 3 (31 enodes) 6.595 * * [simplify]: iters left: 2 (39 enodes) 6.601 * * [simplify]: iters left: 1 (45 enodes) 6.608 * * [simplify]: Extracting #0: cost 1 inf + 0 6.609 * * [simplify]: Extracting #1: cost 10 inf + 0 6.609 * * [simplify]: Extracting #2: cost 20 inf + 0 6.609 * * [simplify]: Extracting #3: cost 16 inf + 184 6.609 * * [simplify]: Extracting #4: cost 5 inf + 1698 6.610 * * [simplify]: Extracting #5: cost 0 inf + 2537 6.611 * [simplify]: Simplified to (- (log 1/3) (+ (log N) (log N))) 6.611 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (exp (- (log 1/3) (+ (log N) (log N)))) N))) 6.611 * * * * [progress]: [ 23 / 125 ] simplifiying candidate # 6.612 * [simplify]: Simplifying (- (log 1/3) (log (* N N))) 6.612 * * [simplify]: iters left: 5 (6 enodes) 6.615 * * [simplify]: iters left: 4 (22 enodes) 6.623 * * [simplify]: iters left: 3 (31 enodes) 6.633 * * [simplify]: iters left: 2 (41 enodes) 6.644 * * [simplify]: iters left: 1 (48 enodes) 6.657 * * [simplify]: Extracting #0: cost 1 inf + 0 6.658 * * [simplify]: Extracting #1: cost 12 inf + 0 6.658 * * [simplify]: Extracting #2: cost 25 inf + 0 6.658 * * [simplify]: Extracting #3: cost 10 inf + 1748 6.659 * * [simplify]: Extracting #4: cost 0 inf + 3263 6.660 * [simplify]: Simplified to (- (log 1/3) (+ (log N) (log N))) 6.660 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (exp (- (log 1/3) (+ (log N) (log N)))) N))) 6.660 * * * * [progress]: [ 24 / 125 ] simplifiying candidate # 6.660 * * * * [progress]: [ 25 / 125 ] simplifiying candidate # 6.660 * * * * [progress]: [ 26 / 125 ] simplifiying candidate # 6.661 * [simplify]: Simplifying (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) N) (* (* N N) N))) 6.661 * * [simplify]: iters left: 6 (8 enodes) 6.666 * * [simplify]: iters left: 5 (40 enodes) 6.687 * * [simplify]: iters left: 4 (125 enodes) 6.753 * * [simplify]: iters left: 3 (395 enodes) 6.967 * * [simplify]: Extracting #0: cost 1 inf + 0 6.967 * * [simplify]: Extracting #1: cost 86 inf + 0 6.968 * * [simplify]: Extracting #2: cost 142 inf + 3503 6.973 * * [simplify]: Extracting #3: cost 48 inf + 15446 6.978 * * [simplify]: Extracting #4: cost 14 inf + 21195 6.984 * * [simplify]: Extracting #5: cost 0 inf + 25333 6.991 * [simplify]: Simplified to (/ 1/27 (* (* N (* N N)) (* N (* N N)))) 6.991 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (cbrt (/ 1/27 (* (* N (* N N)) (* N (* N N))))) N))) 6.991 * * * * [progress]: [ 27 / 125 ] simplifiying candidate # 6.991 * [simplify]: Simplifying (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) (* N N)) (* N N))) 6.991 * * [simplify]: iters left: 6 (8 enodes) 6.995 * * [simplify]: iters left: 5 (41 enodes) 7.010 * * [simplify]: iters left: 4 (128 enodes) 7.047 * * [simplify]: iters left: 3 (370 enodes) 7.259 * * [simplify]: Extracting #0: cost 1 inf + 0 7.259 * * [simplify]: Extracting #1: cost 85 inf + 0 7.261 * * [simplify]: Extracting #2: cost 134 inf + 2854 7.268 * * [simplify]: Extracting #3: cost 61 inf + 11812 7.278 * * [simplify]: Extracting #4: cost 18 inf + 18887 7.286 * * [simplify]: Extracting #5: cost 0 inf + 24276 7.291 * [simplify]: Simplified to (/ (/ 1/27 (* N (* N N))) (* N (* N N))) 7.292 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (cbrt (/ (/ 1/27 (* N (* N N))) (* N (* N N)))) N))) 7.292 * * * * [progress]: [ 28 / 125 ] simplifiying candidate # 7.292 * * * * [progress]: [ 29 / 125 ] simplifiying candidate # 7.292 * * * * [progress]: [ 30 / 125 ] simplifiying candidate # 7.292 * * * * [progress]: [ 31 / 125 ] simplifiying candidate # 7.292 * * * * [progress]: [ 32 / 125 ] simplifiying candidate # 7.292 * [simplify]: Simplifying (/ (* (cbrt 1/3) (cbrt 1/3)) N) 7.292 * * [simplify]: iters left: 5 (5 enodes) 7.294 * * [simplify]: iters left: 4 (17 enodes) 7.297 * * [simplify]: iters left: 3 (21 enodes) 7.300 * * [simplify]: iters left: 2 (24 enodes) 7.304 * * [simplify]: Extracting #0: cost 1 inf + 0 7.304 * * [simplify]: Extracting #1: cost 7 inf + 0 7.304 * * [simplify]: Extracting #2: cost 11 inf + 1 7.304 * * [simplify]: Extracting #3: cost 10 inf + 2 7.304 * * [simplify]: Extracting #4: cost 0 inf + 1218 7.305 * [simplify]: Simplified to (/ (* (cbrt 1/3) (cbrt 1/3)) N) 7.305 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (* (/ (* (cbrt 1/3) (cbrt 1/3)) N) (/ (cbrt 1/3) N)) N))) 7.305 * [simplify]: Simplifying (/ (cbrt 1/3) N) 7.305 * * [simplify]: iters left: 3 (4 enodes) 7.307 * * [simplify]: iters left: 2 (12 enodes) 7.311 * * [simplify]: Extracting #0: cost 1 inf + 0 7.311 * * [simplify]: Extracting #1: cost 4 inf + 0 7.311 * * [simplify]: Extracting #2: cost 5 inf + 1 7.311 * * [simplify]: Extracting #3: cost 4 inf + 2 7.312 * * [simplify]: Extracting #4: cost 0 inf + 408 7.312 * [simplify]: Simplified to (/ (cbrt 1/3) N) 7.312 * [simplify]: Simplified (2 2 1 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (* (/ (* (cbrt 1/3) (cbrt 1/3)) N) (/ (cbrt 1/3) N)) N))) 7.312 * * * * [progress]: [ 33 / 125 ] simplifiying candidate # 7.312 * [simplify]: Simplifying (/ (sqrt 1/3) N) 7.312 * * [simplify]: iters left: 3 (4 enodes) 7.315 * * [simplify]: iters left: 2 (12 enodes) 7.319 * * [simplify]: Extracting #0: cost 1 inf + 0 7.319 * * [simplify]: Extracting #1: cost 4 inf + 0 7.319 * * [simplify]: Extracting #2: cost 5 inf + 1 7.319 * * [simplify]: Extracting #3: cost 4 inf + 2 7.320 * * [simplify]: Extracting #4: cost 0 inf + 248 7.320 * [simplify]: Simplified to (/ (sqrt 1/3) N) 7.320 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (* (/ (sqrt 1/3) N) (/ (sqrt 1/3) N)) N))) 7.320 * [simplify]: Simplifying (/ (sqrt 1/3) N) 7.320 * * [simplify]: iters left: 3 (4 enodes) 7.322 * * [simplify]: iters left: 2 (12 enodes) 7.324 * * [simplify]: Extracting #0: cost 1 inf + 0 7.324 * * [simplify]: Extracting #1: cost 4 inf + 0 7.325 * * [simplify]: Extracting #2: cost 5 inf + 1 7.325 * * [simplify]: Extracting #3: cost 4 inf + 2 7.325 * * [simplify]: Extracting #4: cost 0 inf + 248 7.325 * [simplify]: Simplified to (/ (sqrt 1/3) N) 7.325 * [simplify]: Simplified (2 2 1 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (* (/ (sqrt 1/3) N) (/ (sqrt 1/3) N)) N))) 7.325 * * * * [progress]: [ 34 / 125 ] simplifiying candidate # 7.325 * [simplify]: Simplifying (/ 1 N) 7.325 * * [simplify]: iters left: 2 (3 enodes) 7.326 * * [simplify]: iters left: 1 (11 enodes) 7.328 * * [simplify]: Extracting #0: cost 1 inf + 0 7.328 * * [simplify]: Extracting #1: cost 4 inf + 0 7.328 * * [simplify]: Extracting #2: cost 2 inf + 2 7.328 * * [simplify]: Extracting #3: cost 0 inf + 86 7.328 * [simplify]: Simplified to (/ 1 N) 7.328 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (* (/ 1 N) (/ 1/3 N)) N))) 7.328 * [simplify]: Simplifying (/ 1/3 N) 7.328 * * [simplify]: iters left: 2 (3 enodes) 7.329 * * [simplify]: iters left: 1 (9 enodes) 7.331 * * [simplify]: Extracting #0: cost 1 inf + 0 7.331 * * [simplify]: Extracting #1: cost 4 inf + 0 7.331 * * [simplify]: Extracting #2: cost 2 inf + 2 7.331 * * [simplify]: Extracting #3: cost 0 inf + 86 7.331 * [simplify]: Simplified to (/ 1/3 N) 7.331 * [simplify]: Simplified (2 2 1 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (* (/ 1 N) (/ 1/3 N)) N))) 7.331 * * * * [progress]: [ 35 / 125 ] simplifiying candidate # 7.331 * * * * [progress]: [ 36 / 125 ] simplifiying candidate # 7.331 * * * * [progress]: [ 37 / 125 ] simplifiying candidate # 7.331 * * * * [progress]: [ 38 / 125 ] simplifiying candidate # 7.331 * * * * [progress]: [ 39 / 125 ] simplifiying candidate # 7.331 * [simplify]: Simplifying (* (cbrt 1/3) (cbrt 1/3)) 7.331 * * [simplify]: iters left: 3 (3 enodes) 7.333 * * [simplify]: iters left: 2 (9 enodes) 7.335 * * [simplify]: Extracting #0: cost 1 inf + 0 7.335 * * [simplify]: Extracting #1: cost 3 inf + 0 7.335 * * [simplify]: Extracting #2: cost 5 inf + 0 7.335 * * [simplify]: Extracting #3: cost 4 inf + 1 7.335 * * [simplify]: Extracting #4: cost 0 inf + 405 7.335 * [simplify]: Simplified to (* (cbrt 1/3) (cbrt 1/3)) 7.335 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ (* (cbrt 1/3) (cbrt 1/3)) (/ (* N N) (cbrt 1/3))) N))) 7.335 * * * * [progress]: [ 40 / 125 ] simplifiying candidate # 7.335 * [simplify]: Simplifying (sqrt 1/3) 7.335 * * [simplify]: iters left: 1 (2 enodes) 7.336 * * [simplify]: Extracting #0: cost 1 inf + 0 7.336 * * [simplify]: Extracting #1: cost 3 inf + 0 7.336 * * [simplify]: Extracting #2: cost 2 inf + 1 7.336 * * [simplify]: Extracting #3: cost 0 inf + 83 7.336 * [simplify]: Simplified to (sqrt 1/3) 7.336 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ (sqrt 1/3) (/ (* N N) (sqrt 1/3))) N))) 7.337 * * * * [progress]: [ 41 / 125 ] simplifiying candidate # 7.337 * * * * [progress]: [ 42 / 125 ] simplifiying candidate #real (real->posit16 (/ 1/3 (* N N)))) N)))> 7.337 * * * * [progress]: [ 43 / 125 ] simplifiying candidate # 7.337 * * * * [progress]: [ 44 / 125 ] simplifiying candidate # 7.337 * [simplify]: Simplifying (- (log -1/2) (+ (log N) (log N))) 7.337 * * [simplify]: iters left: 5 (6 enodes) 7.339 * * [simplify]: iters left: 4 (22 enodes) 7.342 * * [simplify]: iters left: 3 (31 enodes) 7.347 * * [simplify]: iters left: 2 (39 enodes) 7.357 * * [simplify]: iters left: 1 (45 enodes) 7.370 * * [simplify]: Extracting #0: cost 1 inf + 0 7.370 * * [simplify]: Extracting #1: cost 10 inf + 0 7.370 * * [simplify]: Extracting #2: cost 20 inf + 0 7.370 * * [simplify]: Extracting #3: cost 16 inf + 184 7.371 * * [simplify]: Extracting #4: cost 5 inf + 1698 7.371 * * [simplify]: Extracting #5: cost 0 inf + 2537 7.372 * [simplify]: Simplified to (- (log -1/2) (+ (log N) (log N))) 7.372 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (+ (/ 1 N) (exp (- (log -1/2) (+ (log N) (log N))))) (/ (/ 1/3 (* N N)) N))) 7.372 * * * * [progress]: [ 45 / 125 ] simplifiying candidate # 7.373 * [simplify]: Simplifying (- (log -1/2) (log (* N N))) 7.373 * * [simplify]: iters left: 5 (6 enodes) 7.377 * * [simplify]: iters left: 4 (22 enodes) 7.385 * * [simplify]: iters left: 3 (31 enodes) 7.395 * * [simplify]: iters left: 2 (41 enodes) 7.408 * * [simplify]: iters left: 1 (48 enodes) 7.416 * * [simplify]: Extracting #0: cost 1 inf + 0 7.416 * * [simplify]: Extracting #1: cost 12 inf + 0 7.416 * * [simplify]: Extracting #2: cost 25 inf + 0 7.416 * * [simplify]: Extracting #3: cost 10 inf + 1748 7.417 * * [simplify]: Extracting #4: cost 0 inf + 3263 7.417 * [simplify]: Simplified to (- (log -1/2) (+ (log N) (log N))) 7.417 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (+ (/ 1 N) (exp (- (log -1/2) (+ (log N) (log N))))) (/ (/ 1/3 (* N N)) N))) 7.419 * * * * [progress]: [ 46 / 125 ] simplifiying candidate # 7.419 * * * * [progress]: [ 47 / 125 ] simplifiying candidate # 7.419 * * * * [progress]: [ 48 / 125 ] simplifiying candidate # 7.419 * [simplify]: Simplifying (/ (* (* -1/2 -1/2) -1/2) (* (* (* N N) N) (* (* N N) N))) 7.419 * * [simplify]: iters left: 6 (8 enodes) 7.423 * * [simplify]: iters left: 5 (40 enodes) 7.432 * * [simplify]: iters left: 4 (125 enodes) 7.488 * * [simplify]: iters left: 3 (395 enodes) 7.717 * * [simplify]: Extracting #0: cost 1 inf + 0 7.717 * * [simplify]: Extracting #1: cost 86 inf + 0 7.718 * * [simplify]: Extracting #2: cost 142 inf + 3503 7.723 * * [simplify]: Extracting #3: cost 48 inf + 15446 7.729 * * [simplify]: Extracting #4: cost 14 inf + 21195 7.735 * * [simplify]: Extracting #5: cost 0 inf + 25333 7.747 * [simplify]: Simplified to (/ -1/8 (* (* N (* N N)) (* N (* N N)))) 7.747 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (+ (/ 1 N) (cbrt (/ -1/8 (* (* N (* N N)) (* N (* N N)))))) (/ (/ 1/3 (* N N)) N))) 7.747 * * * * [progress]: [ 49 / 125 ] simplifiying candidate # 7.748 * [simplify]: Simplifying (/ (* (* -1/2 -1/2) -1/2) (* (* (* N N) (* N N)) (* N N))) 7.748 * * [simplify]: iters left: 6 (8 enodes) 7.754 * * [simplify]: iters left: 5 (41 enodes) 7.772 * * [simplify]: iters left: 4 (128 enodes) 7.805 * * [simplify]: iters left: 3 (370 enodes) 7.966 * * [simplify]: Extracting #0: cost 1 inf + 0 7.967 * * [simplify]: Extracting #1: cost 85 inf + 0 7.969 * * [simplify]: Extracting #2: cost 134 inf + 2854 7.976 * * [simplify]: Extracting #3: cost 61 inf + 11812 7.986 * * [simplify]: Extracting #4: cost 18 inf + 18887 7.997 * * [simplify]: Extracting #5: cost 0 inf + 24276 8.009 * [simplify]: Simplified to (/ (/ -1/8 (* N (* N N))) (* N (* N N))) 8.009 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (+ (/ 1 N) (cbrt (/ (/ -1/8 (* N (* N N))) (* N (* N N))))) (/ (/ 1/3 (* N N)) N))) 8.009 * * * * [progress]: [ 50 / 125 ] simplifiying candidate # 8.009 * * * * [progress]: [ 51 / 125 ] simplifiying candidate # 8.009 * * * * [progress]: [ 52 / 125 ] simplifiying candidate # 8.010 * * * * [progress]: [ 53 / 125 ] simplifiying candidate # 8.010 * * * * [progress]: [ 54 / 125 ] simplifiying candidate # 8.010 * [simplify]: Simplifying (/ (* (cbrt -1/2) (cbrt -1/2)) N) 8.010 * * [simplify]: iters left: 5 (5 enodes) 8.013 * * [simplify]: iters left: 4 (17 enodes) 8.019 * * [simplify]: iters left: 3 (21 enodes) 8.026 * * [simplify]: iters left: 2 (24 enodes) 8.034 * * [simplify]: Extracting #0: cost 1 inf + 0 8.034 * * [simplify]: Extracting #1: cost 7 inf + 0 8.034 * * [simplify]: Extracting #2: cost 11 inf + 1 8.034 * * [simplify]: Extracting #3: cost 10 inf + 2 8.034 * * [simplify]: Extracting #4: cost 0 inf + 1218 8.035 * [simplify]: Simplified to (/ (* (cbrt -1/2) (cbrt -1/2)) N) 8.035 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (+ (/ 1 N) (* (/ (* (cbrt -1/2) (cbrt -1/2)) N) (/ (cbrt -1/2) N))) (/ (/ 1/3 (* N N)) N))) 8.035 * [simplify]: Simplifying (/ (cbrt -1/2) N) 8.035 * * [simplify]: iters left: 3 (4 enodes) 8.038 * * [simplify]: iters left: 2 (12 enodes) 8.042 * * [simplify]: Extracting #0: cost 1 inf + 0 8.042 * * [simplify]: Extracting #1: cost 4 inf + 0 8.042 * * [simplify]: Extracting #2: cost 5 inf + 1 8.042 * * [simplify]: Extracting #3: cost 4 inf + 2 8.042 * * [simplify]: Extracting #4: cost 0 inf + 408 8.042 * [simplify]: Simplified to (/ (cbrt -1/2) N) 8.042 * [simplify]: Simplified (2 1 2 2) to (λ (N) (+ (+ (/ 1 N) (* (/ (* (cbrt -1/2) (cbrt -1/2)) N) (/ (cbrt -1/2) N))) (/ (/ 1/3 (* N N)) N))) 8.043 * * * * [progress]: [ 55 / 125 ] simplifiying candidate # 8.043 * [simplify]: Simplifying (/ (sqrt -1/2) N) 8.043 * * [simplify]: iters left: 3 (4 enodes) 8.046 * * [simplify]: iters left: 2 (12 enodes) 8.050 * * [simplify]: Extracting #0: cost 1 inf + 0 8.050 * * [simplify]: Extracting #1: cost 4 inf + 0 8.050 * * [simplify]: Extracting #2: cost 5 inf + 1 8.050 * * [simplify]: Extracting #3: cost 4 inf + 2 8.050 * * [simplify]: Extracting #4: cost 0 inf + 248 8.050 * [simplify]: Simplified to (/ (sqrt -1/2) N) 8.050 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (+ (/ 1 N) (* (/ (sqrt -1/2) N) (/ (sqrt -1/2) N))) (/ (/ 1/3 (* N N)) N))) 8.050 * [simplify]: Simplifying (/ (sqrt -1/2) N) 8.050 * * [simplify]: iters left: 3 (4 enodes) 8.052 * * [simplify]: iters left: 2 (12 enodes) 8.054 * * [simplify]: Extracting #0: cost 1 inf + 0 8.054 * * [simplify]: Extracting #1: cost 4 inf + 0 8.054 * * [simplify]: Extracting #2: cost 5 inf + 1 8.054 * * [simplify]: Extracting #3: cost 4 inf + 2 8.054 * * [simplify]: Extracting #4: cost 0 inf + 248 8.054 * [simplify]: Simplified to (/ (sqrt -1/2) N) 8.054 * [simplify]: Simplified (2 1 2 2) to (λ (N) (+ (+ (/ 1 N) (* (/ (sqrt -1/2) N) (/ (sqrt -1/2) N))) (/ (/ 1/3 (* N N)) N))) 8.054 * * * * [progress]: [ 56 / 125 ] simplifiying candidate # 8.054 * [simplify]: Simplifying (/ 1 N) 8.054 * * [simplify]: iters left: 2 (3 enodes) 8.055 * * [simplify]: iters left: 1 (11 enodes) 8.057 * * [simplify]: Extracting #0: cost 1 inf + 0 8.057 * * [simplify]: Extracting #1: cost 4 inf + 0 8.057 * * [simplify]: Extracting #2: cost 2 inf + 2 8.057 * * [simplify]: Extracting #3: cost 0 inf + 86 8.057 * [simplify]: Simplified to (/ 1 N) 8.057 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (+ (/ 1 N) (* (/ 1 N) (/ -1/2 N))) (/ (/ 1/3 (* N N)) N))) 8.058 * [simplify]: Simplifying (/ -1/2 N) 8.058 * * [simplify]: iters left: 2 (3 enodes) 8.059 * * [simplify]: iters left: 1 (9 enodes) 8.060 * * [simplify]: Extracting #0: cost 1 inf + 0 8.060 * * [simplify]: Extracting #1: cost 4 inf + 0 8.060 * * [simplify]: Extracting #2: cost 2 inf + 2 8.060 * * [simplify]: Extracting #3: cost 0 inf + 86 8.060 * [simplify]: Simplified to (/ -1/2 N) 8.060 * [simplify]: Simplified (2 1 2 2) to (λ (N) (+ (+ (/ 1 N) (* (/ 1 N) (/ -1/2 N))) (/ (/ 1/3 (* N N)) N))) 8.061 * * * * [progress]: [ 57 / 125 ] simplifiying candidate # 8.061 * * * * [progress]: [ 58 / 125 ] simplifiying candidate # 8.061 * * * * [progress]: [ 59 / 125 ] simplifiying candidate # 8.061 * * * * [progress]: [ 60 / 125 ] simplifiying candidate # 8.061 * * * * [progress]: [ 61 / 125 ] simplifiying candidate # 8.061 * [simplify]: Simplifying (* (cbrt -1/2) (cbrt -1/2)) 8.061 * * [simplify]: iters left: 3 (3 enodes) 8.062 * * [simplify]: iters left: 2 (9 enodes) 8.064 * * [simplify]: Extracting #0: cost 1 inf + 0 8.064 * * [simplify]: Extracting #1: cost 3 inf + 0 8.064 * * [simplify]: Extracting #2: cost 5 inf + 0 8.064 * * [simplify]: Extracting #3: cost 4 inf + 1 8.064 * * [simplify]: Extracting #4: cost 0 inf + 405 8.064 * [simplify]: Simplified to (* (cbrt -1/2) (cbrt -1/2)) 8.064 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (+ (/ 1 N) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* N N) (cbrt -1/2)))) (/ (/ 1/3 (* N N)) N))) 8.064 * * * * [progress]: [ 62 / 125 ] simplifiying candidate # 8.064 * [simplify]: Simplifying (sqrt -1/2) 8.064 * * [simplify]: iters left: 1 (2 enodes) 8.065 * * [simplify]: Extracting #0: cost 1 inf + 0 8.065 * * [simplify]: Extracting #1: cost 3 inf + 0 8.065 * * [simplify]: Extracting #2: cost 2 inf + 1 8.065 * * [simplify]: Extracting #3: cost 0 inf + 83 8.065 * [simplify]: Simplified to (sqrt -1/2) 8.066 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (+ (/ 1 N) (/ (sqrt -1/2) (/ (* N N) (sqrt -1/2)))) (/ (/ 1/3 (* N N)) N))) 8.066 * * * * [progress]: [ 63 / 125 ] simplifiying candidate # 8.066 * * * * [progress]: [ 64 / 125 ] simplifiying candidate #real (real->posit16 (/ -1/2 (* N N))))) (/ (/ 1/3 (* N N)) N)))> 8.066 * * * * [progress]: [ 65 / 125 ] simplifiying candidate # 8.066 * * * * [progress]: [ 66 / 125 ] simplifiying candidate # 8.066 * [simplify]: Simplifying (- (- (log 1/3) (+ (log N) (log N))) (log N)) 8.066 * * [simplify]: iters left: 6 (7 enodes) 8.068 * * [simplify]: iters left: 5 (29 enodes) 8.074 * * [simplify]: iters left: 4 (54 enodes) 8.090 * * [simplify]: iters left: 3 (88 enodes) 8.120 * * [simplify]: iters left: 2 (96 enodes) 8.141 * * [simplify]: iters left: 1 (112 enodes) 8.170 * * [simplify]: Extracting #0: cost 1 inf + 0 8.170 * * [simplify]: Extracting #1: cost 19 inf + 0 8.170 * * [simplify]: Extracting #2: cost 38 inf + 0 8.171 * * [simplify]: Extracting #3: cost 28 inf + 1152 8.172 * * [simplify]: Extracting #4: cost 3 inf + 5881 8.175 * * [simplify]: Extracting #5: cost 0 inf + 6627 8.177 * * [simplify]: Extracting #6: cost 0 inf + 6467 8.179 * [simplify]: Simplified to (- (log 1/3) (+ (log N) (+ (log N) (log N)))) 8.179 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (exp (- (log 1/3) (+ (log N) (+ (log N) (log N))))))) 8.179 * * * * [progress]: [ 67 / 125 ] simplifiying candidate # 8.180 * [simplify]: Simplifying (- (- (log 1/3) (log (* N N))) (log N)) 8.180 * * [simplify]: iters left: 6 (8 enodes) 8.184 * * [simplify]: iters left: 5 (31 enodes) 8.195 * * [simplify]: iters left: 4 (51 enodes) 8.212 * * [simplify]: iters left: 3 (79 enodes) 8.241 * * [simplify]: iters left: 2 (101 enodes) 8.265 * * [simplify]: iters left: 1 (122 enodes) 8.296 * * [simplify]: Extracting #0: cost 1 inf + 0 8.296 * * [simplify]: Extracting #1: cost 19 inf + 0 8.296 * * [simplify]: Extracting #2: cost 39 inf + 0 8.297 * * [simplify]: Extracting #3: cost 29 inf + 962 8.298 * * [simplify]: Extracting #4: cost 8 inf + 4764 8.301 * * [simplify]: Extracting #5: cost 0 inf + 6509 8.303 * [simplify]: Simplified to (- (log 1/3) (+ (log N) (+ (log N) (log N)))) 8.303 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (exp (- (log 1/3) (+ (log N) (+ (log N) (log N))))))) 8.303 * * * * [progress]: [ 68 / 125 ] simplifiying candidate # 8.304 * [simplify]: Simplifying (- (log (/ 1/3 (* N N))) (log N)) 8.304 * * [simplify]: iters left: 6 (7 enodes) 8.308 * * [simplify]: iters left: 5 (28 enodes) 8.317 * * [simplify]: iters left: 4 (46 enodes) 8.332 * * [simplify]: iters left: 3 (77 enodes) 8.357 * * [simplify]: iters left: 2 (98 enodes) 8.383 * * [simplify]: iters left: 1 (106 enodes) 8.409 * * [simplify]: Extracting #0: cost 1 inf + 0 8.410 * * [simplify]: Extracting #1: cost 14 inf + 0 8.410 * * [simplify]: Extracting #2: cost 32 inf + 0 8.410 * * [simplify]: Extracting #3: cost 32 inf + 73 8.411 * * [simplify]: Extracting #4: cost 12 inf + 2292 8.412 * * [simplify]: Extracting #5: cost 2 inf + 4268 8.414 * * [simplify]: Extracting #6: cost 0 inf + 4671 8.416 * [simplify]: Simplified to (- (log (/ (/ 1/3 N) N)) (log N)) 8.416 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (exp (- (log (/ (/ 1/3 N) N)) (log N))))) 8.416 * * * * [progress]: [ 69 / 125 ] simplifiying candidate # 8.416 * * * * [progress]: [ 70 / 125 ] simplifiying candidate # 8.416 * * * * [progress]: [ 71 / 125 ] simplifiying candidate # 8.416 * [simplify]: Simplifying (/ (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) N) (* (* N N) N))) (* (* N N) N)) 8.417 * * [simplify]: iters left: 6 (9 enodes) 8.423 * * [simplify]: iters left: 5 (47 enodes) 8.445 * * [simplify]: iters left: 4 (171 enodes) 8.544 * * [simplify]: Extracting #0: cost 1 inf + 0 8.544 * * [simplify]: Extracting #1: cost 52 inf + 0 8.545 * * [simplify]: Extracting #2: cost 141 inf + 735 8.549 * * [simplify]: Extracting #3: cost 70 inf + 15387 8.555 * * [simplify]: Extracting #4: cost 0 inf + 25430 8.561 * * [simplify]: Extracting #5: cost 0 inf + 25270 8.568 * [simplify]: Simplified to (/ (/ 1/27 (* (* N (* N N)) (* N (* N N)))) (* N (* N N))) 8.568 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (cbrt (/ (/ 1/27 (* (* N (* N N)) (* N (* N N)))) (* N (* N N)))))) 8.568 * * * * [progress]: [ 72 / 125 ] simplifiying candidate # 8.569 * [simplify]: Simplifying (/ (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) (* N N)) (* N N))) (* (* N N) N)) 8.569 * * [simplify]: iters left: 6 (10 enodes) 8.572 * * [simplify]: iters left: 5 (50 enodes) 8.596 * * [simplify]: iters left: 4 (181 enodes) 8.713 * * [simplify]: Extracting #0: cost 1 inf + 0 8.713 * * [simplify]: Extracting #1: cost 60 inf + 0 8.714 * * [simplify]: Extracting #2: cost 149 inf + 1341 8.718 * * [simplify]: Extracting #3: cost 60 inf + 16371 8.725 * * [simplify]: Extracting #4: cost 1 inf + 24435 8.733 * * [simplify]: Extracting #5: cost 0 inf + 24727 8.747 * [simplify]: Simplified to (/ (/ (/ 1/27 (* (* N N) (* N N))) (* (* N N) (* N N))) N) 8.747 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (cbrt (/ (/ (/ 1/27 (* (* N N) (* N N))) (* (* N N) (* N N))) N)))) 8.747 * * * * [progress]: [ 73 / 125 ] simplifiying candidate # 8.748 * [simplify]: Simplifying (/ (* (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (/ 1/3 (* N N))) (* (* N N) N)) 8.748 * * [simplify]: iters left: 6 (8 enodes) 8.753 * * [simplify]: iters left: 5 (41 enodes) 8.772 * * [simplify]: iters left: 4 (139 enodes) 8.841 * * [simplify]: Extracting #0: cost 1 inf + 0 8.841 * * [simplify]: Extracting #1: cost 49 inf + 0 8.842 * * [simplify]: Extracting #2: cost 120 inf + 3 8.843 * * [simplify]: Extracting #3: cost 107 inf + 2825 8.851 * * [simplify]: Extracting #4: cost 35 inf + 14096 8.863 * * [simplify]: Extracting #5: cost 0 inf + 20632 8.874 * [simplify]: Simplified to (/ (* (/ 1/3 (* N N)) (* (/ 1/3 (* N N)) (/ 1/3 (* N N)))) (* (* N N) N)) 8.875 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (cbrt (/ (* (/ 1/3 (* N N)) (* (/ 1/3 (* N N)) (/ 1/3 (* N N)))) (* (* N N) N))))) 8.875 * * * * [progress]: [ 74 / 125 ] simplifiying candidate # 8.875 * * * * [progress]: [ 75 / 125 ] simplifiying candidate # 8.875 * * * * [progress]: [ 76 / 125 ] simplifiying candidate # 8.875 * * * * [progress]: [ 77 / 125 ] simplifiying candidate # 8.875 * * * * [progress]: [ 78 / 125 ] simplifiying candidate # 8.875 * [simplify]: Simplifying (/ (* (cbrt (/ 1/3 (* N N))) (cbrt (/ 1/3 (* N N)))) (* (cbrt N) (cbrt N))) 8.876 * * [simplify]: iters left: 6 (9 enodes) 8.880 * * [simplify]: iters left: 5 (35 enodes) 8.891 * * [simplify]: iters left: 4 (52 enodes) 8.906 * * [simplify]: iters left: 3 (59 enodes) 8.922 * * [simplify]: iters left: 2 (62 enodes) 8.940 * * [simplify]: Extracting #0: cost 1 inf + 0 8.940 * * [simplify]: Extracting #1: cost 11 inf + 0 8.940 * * [simplify]: Extracting #2: cost 22 inf + 0 8.941 * * [simplify]: Extracting #3: cost 25 inf + 1 8.941 * * [simplify]: Extracting #4: cost 21 inf + 447 8.941 * * [simplify]: Extracting #5: cost 12 inf + 1984 8.946 * * [simplify]: Extracting #6: cost 1 inf + 4846 8.948 * * [simplify]: Extracting #7: cost 0 inf + 5168 8.950 * [simplify]: Simplified to (* (/ (cbrt (/ 1/3 (* N N))) (cbrt N)) (/ (cbrt (/ 1/3 (* N N))) (cbrt N))) 8.950 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (* (/ (cbrt (/ 1/3 (* N N))) (cbrt N)) (/ (cbrt (/ 1/3 (* N N))) (cbrt N))) (/ (cbrt (/ 1/3 (* N N))) (cbrt N))))) 8.950 * [simplify]: Simplifying (/ (cbrt (/ 1/3 (* N N))) (cbrt N)) 8.951 * * [simplify]: iters left: 6 (7 enodes) 8.954 * * [simplify]: iters left: 5 (23 enodes) 8.961 * * [simplify]: iters left: 4 (25 enodes) 8.969 * * [simplify]: Extracting #0: cost 1 inf + 0 8.969 * * [simplify]: Extracting #1: cost 4 inf + 0 8.969 * * [simplify]: Extracting #2: cost 8 inf + 0 8.969 * * [simplify]: Extracting #3: cost 10 inf + 82 8.970 * * [simplify]: Extracting #4: cost 9 inf + 205 8.970 * * [simplify]: Extracting #5: cost 5 inf + 452 8.970 * * [simplify]: Extracting #6: cost 1 inf + 1100 8.970 * * [simplify]: Extracting #7: cost 0 inf + 1382 8.971 * [simplify]: Simplified to (/ (cbrt (/ 1/3 (* N N))) (cbrt N)) 8.971 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (* (/ (cbrt (/ 1/3 (* N N))) (cbrt N)) (/ (cbrt (/ 1/3 (* N N))) (cbrt N))) (/ (cbrt (/ 1/3 (* N N))) (cbrt N))))) 8.971 * * * * [progress]: [ 79 / 125 ] simplifiying candidate # 8.971 * [simplify]: Simplifying (/ (* (cbrt (/ 1/3 (* N N))) (cbrt (/ 1/3 (* N N)))) (sqrt N)) 8.972 * * [simplify]: iters left: 6 (8 enodes) 8.976 * * [simplify]: iters left: 5 (28 enodes) 8.984 * * [simplify]: iters left: 4 (34 enodes) 8.993 * * [simplify]: iters left: 3 (37 enodes) 9.004 * * [simplify]: Extracting #0: cost 1 inf + 0 9.004 * * [simplify]: Extracting #1: cost 7 inf + 0 9.004 * * [simplify]: Extracting #2: cost 14 inf + 0 9.004 * * [simplify]: Extracting #3: cost 17 inf + 1 9.004 * * [simplify]: Extracting #4: cost 15 inf + 125 9.004 * * [simplify]: Extracting #5: cost 12 inf + 290 9.005 * * [simplify]: Extracting #6: cost 2 inf + 2230 9.006 * * [simplify]: Extracting #7: cost 0 inf + 2674 9.007 * [simplify]: Simplified to (/ (cbrt (/ (/ 1/3 N) N)) (/ (sqrt N) (cbrt (/ (/ 1/3 N) N)))) 9.007 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (cbrt (/ (/ 1/3 N) N)) (/ (sqrt N) (cbrt (/ (/ 1/3 N) N)))) (/ (cbrt (/ 1/3 (* N N))) (sqrt N))))) 9.007 * [simplify]: Simplifying (/ (cbrt (/ 1/3 (* N N))) (sqrt N)) 9.007 * * [simplify]: iters left: 6 (7 enodes) 9.011 * * [simplify]: iters left: 5 (23 enodes) 9.018 * * [simplify]: iters left: 4 (25 enodes) 9.025 * * [simplify]: Extracting #0: cost 1 inf + 0 9.025 * * [simplify]: Extracting #1: cost 4 inf + 0 9.025 * * [simplify]: Extracting #2: cost 8 inf + 0 9.025 * * [simplify]: Extracting #3: cost 10 inf + 42 9.025 * * [simplify]: Extracting #4: cost 9 inf + 125 9.025 * * [simplify]: Extracting #5: cost 5 inf + 372 9.026 * * [simplify]: Extracting #6: cost 1 inf + 980 9.026 * * [simplify]: Extracting #7: cost 0 inf + 1222 9.026 * [simplify]: Simplified to (/ (cbrt (/ 1/3 (* N N))) (sqrt N)) 9.026 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (* (cbrt (/ 1/3 (* N N))) (cbrt (/ 1/3 (* N N)))) (sqrt N)) (/ (cbrt (/ 1/3 (* N N))) (sqrt N))))) 9.027 * * * * [progress]: [ 80 / 125 ] simplifiying candidate # 9.027 * [simplify]: Simplifying (/ (* (cbrt (/ 1/3 (* N N))) (cbrt (/ 1/3 (* N N)))) 1) 9.027 * * [simplify]: iters left: 6 (8 enodes) 9.031 * * [simplify]: iters left: 5 (28 enodes) 9.041 * * [simplify]: iters left: 4 (40 enodes) 9.049 * * [simplify]: iters left: 3 (41 enodes) 9.055 * * [simplify]: Extracting #0: cost 1 inf + 0 9.055 * * [simplify]: Extracting #1: cost 5 inf + 0 9.055 * * [simplify]: Extracting #2: cost 7 inf + 1 9.055 * * [simplify]: Extracting #3: cost 12 inf + 1 9.056 * * [simplify]: Extracting #4: cost 12 inf + 3 9.056 * * [simplify]: Extracting #5: cost 8 inf + 209 9.056 * * [simplify]: Extracting #6: cost 1 inf + 1264 9.056 * * [simplify]: Extracting #7: cost 0 inf + 1467 9.056 * [simplify]: Simplified to (* (cbrt (/ (/ 1/3 N) N)) (cbrt (/ (/ 1/3 N) N))) 9.056 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (* (cbrt (/ (/ 1/3 N) N)) (cbrt (/ (/ 1/3 N) N))) (/ (cbrt (/ 1/3 (* N N))) N)))) 9.057 * [simplify]: Simplifying (/ (cbrt (/ 1/3 (* N N))) N) 9.057 * * [simplify]: iters left: 6 (6 enodes) 9.058 * * [simplify]: iters left: 5 (20 enodes) 9.062 * * [simplify]: iters left: 4 (22 enodes) 9.065 * * [simplify]: Extracting #0: cost 1 inf + 0 9.065 * * [simplify]: Extracting #1: cost 4 inf + 0 9.065 * * [simplify]: Extracting #2: cost 5 inf + 1 9.065 * * [simplify]: Extracting #3: cost 9 inf + 1 9.065 * * [simplify]: Extracting #4: cost 8 inf + 85 9.065 * * [simplify]: Extracting #5: cost 0 inf + 1060 9.065 * [simplify]: Simplified to (/ (cbrt (/ 1/3 (* N N))) N) 9.066 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (* (cbrt (/ 1/3 (* N N))) (cbrt (/ 1/3 (* N N)))) 1) (/ (cbrt (/ 1/3 (* N N))) N)))) 9.066 * * * * [progress]: [ 81 / 125 ] simplifiying candidate # 9.066 * [simplify]: Simplifying (/ (sqrt (/ 1/3 (* N N))) (* (cbrt N) (cbrt N))) 9.066 * * [simplify]: iters left: 6 (8 enodes) 9.068 * * [simplify]: iters left: 5 (28 enodes) 9.072 * * [simplify]: iters left: 4 (32 enodes) 9.079 * * [simplify]: Extracting #0: cost 1 inf + 0 9.079 * * [simplify]: Extracting #1: cost 6 inf + 0 9.079 * * [simplify]: Extracting #2: cost 12 inf + 0 9.079 * * [simplify]: Extracting #3: cost 11 inf + 405 9.079 * * [simplify]: Extracting #4: cost 11 inf + 447 9.079 * * [simplify]: Extracting #5: cost 7 inf + 654 9.079 * * [simplify]: Extracting #6: cost 0 inf + 2028 9.080 * [simplify]: Simplified to (/ (/ (sqrt (/ (/ 1/3 N) N)) (cbrt N)) (cbrt N)) 9.080 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (/ (sqrt (/ (/ 1/3 N) N)) (cbrt N)) (cbrt N)) (/ (sqrt (/ 1/3 (* N N))) (cbrt N))))) 9.080 * [simplify]: Simplifying (/ (sqrt (/ 1/3 (* N N))) (cbrt N)) 9.080 * * [simplify]: iters left: 6 (7 enodes) 9.082 * * [simplify]: iters left: 5 (23 enodes) 9.086 * * [simplify]: iters left: 4 (25 enodes) 9.090 * * [simplify]: Extracting #0: cost 1 inf + 0 9.090 * * [simplify]: Extracting #1: cost 4 inf + 0 9.090 * * [simplify]: Extracting #2: cost 8 inf + 0 9.090 * * [simplify]: Extracting #3: cost 10 inf + 82 9.090 * * [simplify]: Extracting #4: cost 9 inf + 205 9.090 * * [simplify]: Extracting #5: cost 5 inf + 452 9.090 * * [simplify]: Extracting #6: cost 1 inf + 980 9.091 * * [simplify]: Extracting #7: cost 0 inf + 1222 9.091 * [simplify]: Simplified to (/ (sqrt (/ 1/3 (* N N))) (cbrt N)) 9.091 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (sqrt (/ 1/3 (* N N))) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 1/3 (* N N))) (cbrt N))))) 9.091 * * * * [progress]: [ 82 / 125 ] simplifiying candidate # 9.091 * [simplify]: Simplifying (/ (sqrt (/ 1/3 (* N N))) (sqrt N)) 9.091 * * [simplify]: iters left: 6 (7 enodes) 9.093 * * [simplify]: iters left: 5 (23 enodes) 9.096 * * [simplify]: iters left: 4 (25 enodes) 9.100 * * [simplify]: Extracting #0: cost 1 inf + 0 9.100 * * [simplify]: Extracting #1: cost 4 inf + 0 9.100 * * [simplify]: Extracting #2: cost 8 inf + 0 9.100 * * [simplify]: Extracting #3: cost 10 inf + 42 9.100 * * [simplify]: Extracting #4: cost 9 inf + 125 9.100 * * [simplify]: Extracting #5: cost 5 inf + 372 9.100 * * [simplify]: Extracting #6: cost 1 inf + 860 9.100 * * [simplify]: Extracting #7: cost 0 inf + 1062 9.101 * [simplify]: Simplified to (/ (sqrt (/ 1/3 (* N N))) (sqrt N)) 9.101 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (sqrt (/ 1/3 (* N N))) (sqrt N)) (/ (sqrt (/ 1/3 (* N N))) (sqrt N))))) 9.101 * [simplify]: Simplifying (/ (sqrt (/ 1/3 (* N N))) (sqrt N)) 9.101 * * [simplify]: iters left: 6 (7 enodes) 9.103 * * [simplify]: iters left: 5 (23 enodes) 9.106 * * [simplify]: iters left: 4 (25 enodes) 9.110 * * [simplify]: Extracting #0: cost 1 inf + 0 9.110 * * [simplify]: Extracting #1: cost 4 inf + 0 9.110 * * [simplify]: Extracting #2: cost 8 inf + 0 9.110 * * [simplify]: Extracting #3: cost 10 inf + 42 9.110 * * [simplify]: Extracting #4: cost 9 inf + 125 9.110 * * [simplify]: Extracting #5: cost 5 inf + 372 9.110 * * [simplify]: Extracting #6: cost 1 inf + 860 9.111 * * [simplify]: Extracting #7: cost 0 inf + 1062 9.111 * [simplify]: Simplified to (/ (sqrt (/ 1/3 (* N N))) (sqrt N)) 9.111 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (sqrt (/ 1/3 (* N N))) (sqrt N)) (/ (sqrt (/ 1/3 (* N N))) (sqrt N))))) 9.111 * * * * [progress]: [ 83 / 125 ] simplifiying candidate # 9.111 * [simplify]: Simplifying (/ (sqrt (/ 1/3 (* N N))) 1) 9.111 * * [simplify]: iters left: 6 (7 enodes) 9.113 * * [simplify]: iters left: 5 (23 enodes) 9.117 * * [simplify]: iters left: 4 (27 enodes) 9.125 * * [simplify]: Extracting #0: cost 1 inf + 0 9.125 * * [simplify]: Extracting #1: cost 4 inf + 0 9.125 * * [simplify]: Extracting #2: cost 8 inf + 1 9.125 * * [simplify]: Extracting #3: cost 7 inf + 44 9.125 * * [simplify]: Extracting #4: cost 1 inf + 455 9.126 * * [simplify]: Extracting #5: cost 0 inf + 577 9.126 * [simplify]: Simplified to (sqrt (/ 1/3 (* N N))) 9.126 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (sqrt (/ 1/3 (* N N))) (/ (sqrt (/ 1/3 (* N N))) N)))) 9.126 * [simplify]: Simplifying (/ (sqrt (/ 1/3 (* N N))) N) 9.126 * * [simplify]: iters left: 6 (6 enodes) 9.129 * * [simplify]: iters left: 5 (20 enodes) 9.135 * * [simplify]: iters left: 4 (22 enodes) 9.142 * * [simplify]: Extracting #0: cost 1 inf + 0 9.142 * * [simplify]: Extracting #1: cost 4 inf + 0 9.142 * * [simplify]: Extracting #2: cost 5 inf + 1 9.142 * * [simplify]: Extracting #3: cost 9 inf + 1 9.142 * * [simplify]: Extracting #4: cost 8 inf + 85 9.142 * * [simplify]: Extracting #5: cost 0 inf + 900 9.143 * [simplify]: Simplified to (/ (sqrt (/ 1/3 (* N N))) N) 9.143 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (sqrt (/ 1/3 (* N N))) (/ (sqrt (/ 1/3 (* N N))) N)))) 9.143 * * * * [progress]: [ 84 / 125 ] simplifiying candidate # 9.143 * [simplify]: Simplifying (/ (/ (* (cbrt 1/3) (cbrt 1/3)) N) (* (cbrt N) (cbrt N))) 9.143 * * [simplify]: iters left: 6 (8 enodes) 9.148 * * [simplify]: iters left: 5 (30 enodes) 9.154 * * [simplify]: iters left: 4 (52 enodes) 9.163 * * [simplify]: iters left: 3 (99 enodes) 9.190 * * [simplify]: iters left: 2 (153 enodes) 9.238 * * [simplify]: iters left: 1 (167 enodes) 9.289 * * [simplify]: Extracting #0: cost 1 inf + 0 9.289 * * [simplify]: Extracting #1: cost 23 inf + 0 9.289 * * [simplify]: Extracting #2: cost 43 inf + 1 9.290 * * [simplify]: Extracting #3: cost 40 inf + 164 9.291 * * [simplify]: Extracting #4: cost 10 inf + 5815 9.294 * * [simplify]: Extracting #5: cost 0 inf + 8154 9.295 * [simplify]: Simplified to (/ (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) N) 9.295 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) N) (/ (/ (cbrt 1/3) N) (cbrt N))))) 9.296 * [simplify]: Simplifying (/ (/ (cbrt 1/3) N) (cbrt N)) 9.296 * * [simplify]: iters left: 5 (6 enodes) 9.298 * * [simplify]: iters left: 4 (20 enodes) 9.303 * * [simplify]: iters left: 3 (25 enodes) 9.307 * * [simplify]: iters left: 2 (27 enodes) 9.311 * * [simplify]: Extracting #0: cost 1 inf + 0 9.311 * * [simplify]: Extracting #1: cost 8 inf + 0 9.311 * * [simplify]: Extracting #2: cost 11 inf + 203 9.311 * * [simplify]: Extracting #3: cost 8 inf + 406 9.311 * * [simplify]: Extracting #4: cost 4 inf + 1053 9.311 * * [simplify]: Extracting #5: cost 0 inf + 1700 9.312 * [simplify]: Simplified to (/ (/ (cbrt 1/3) (cbrt N)) N) 9.312 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) N) (/ (/ (cbrt 1/3) (cbrt N)) N)))) 9.312 * * * * [progress]: [ 85 / 125 ] simplifiying candidate # 9.312 * [simplify]: Simplifying (/ (/ (* (cbrt 1/3) (cbrt 1/3)) N) (sqrt N)) 9.312 * * [simplify]: iters left: 6 (7 enodes) 9.314 * * [simplify]: iters left: 5 (25 enodes) 9.319 * * [simplify]: iters left: 4 (40 enodes) 9.325 * * [simplify]: iters left: 3 (62 enodes) 9.335 * * [simplify]: iters left: 2 (73 enodes) 9.344 * * [simplify]: iters left: 1 (74 enodes) 9.354 * * [simplify]: Extracting #0: cost 1 inf + 0 9.354 * * [simplify]: Extracting #1: cost 15 inf + 0 9.354 * * [simplify]: Extracting #2: cost 25 inf + 123 9.354 * * [simplify]: Extracting #3: cost 21 inf + 327 9.354 * * [simplify]: Extracting #4: cost 5 inf + 2876 9.355 * * [simplify]: Extracting #5: cost 0 inf + 3806 9.356 * [simplify]: Simplified to (/ (* (cbrt 1/3) (cbrt 1/3)) (* N (sqrt N))) 9.356 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (* (cbrt 1/3) (cbrt 1/3)) (* N (sqrt N))) (/ (/ (cbrt 1/3) N) (sqrt N))))) 9.356 * [simplify]: Simplifying (/ (/ (cbrt 1/3) N) (sqrt N)) 9.356 * * [simplify]: iters left: 5 (6 enodes) 9.358 * * [simplify]: iters left: 4 (20 enodes) 9.364 * * [simplify]: iters left: 3 (25 enodes) 9.372 * * [simplify]: iters left: 2 (27 enodes) 9.380 * * [simplify]: Extracting #0: cost 1 inf + 0 9.380 * * [simplify]: Extracting #1: cost 8 inf + 0 9.380 * * [simplify]: Extracting #2: cost 11 inf + 123 9.380 * * [simplify]: Extracting #3: cost 8 inf + 246 9.380 * * [simplify]: Extracting #4: cost 4 inf + 813 9.381 * * [simplify]: Extracting #5: cost 0 inf + 1380 9.381 * [simplify]: Simplified to (/ (/ (cbrt 1/3) (sqrt N)) N) 9.381 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (/ (* (cbrt 1/3) (cbrt 1/3)) N) (sqrt N)) (/ (/ (cbrt 1/3) (sqrt N)) N)))) 9.381 * * * * [progress]: [ 86 / 125 ] simplifiying candidate # 9.381 * [simplify]: Simplifying (/ (/ (* (cbrt 1/3) (cbrt 1/3)) N) 1) 9.382 * * [simplify]: iters left: 6 (7 enodes) 9.386 * * [simplify]: iters left: 5 (25 enodes) 9.397 * * [simplify]: iters left: 4 (35 enodes) 9.408 * * [simplify]: iters left: 3 (42 enodes) 9.416 * * [simplify]: iters left: 2 (59 enodes) 9.425 * * [simplify]: iters left: 1 (67 enodes) 9.433 * * [simplify]: Extracting #0: cost 1 inf + 0 9.433 * * [simplify]: Extracting #1: cost 9 inf + 0 9.433 * * [simplify]: Extracting #2: cost 13 inf + 2 9.434 * * [simplify]: Extracting #3: cost 12 inf + 3 9.434 * * [simplify]: Extracting #4: cost 6 inf + 651 9.434 * * [simplify]: Extracting #5: cost 1 inf + 1301 9.434 * * [simplify]: Extracting #6: cost 0 inf + 1463 9.434 * [simplify]: Simplified to (/ (cbrt 1/3) (/ N (cbrt 1/3))) 9.435 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (cbrt 1/3) (/ N (cbrt 1/3))) (/ (/ (cbrt 1/3) N) N)))) 9.435 * [simplify]: Simplifying (/ (/ (cbrt 1/3) N) N) 9.435 * * [simplify]: iters left: 5 (5 enodes) 9.436 * * [simplify]: iters left: 4 (17 enodes) 9.439 * * [simplify]: iters left: 3 (19 enodes) 9.442 * * [simplify]: Extracting #0: cost 1 inf + 0 9.442 * * [simplify]: Extracting #1: cost 6 inf + 0 9.442 * * [simplify]: Extracting #2: cost 9 inf + 1 9.442 * * [simplify]: Extracting #3: cost 6 inf + 84 9.442 * * [simplify]: Extracting #4: cost 0 inf + 814 9.443 * [simplify]: Simplified to (/ (cbrt 1/3) (* N N)) 9.443 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (cbrt 1/3) (/ N (cbrt 1/3))) (/ (cbrt 1/3) (* N N))))) 9.443 * * * * [progress]: [ 87 / 125 ] simplifiying candidate # 9.443 * [simplify]: Simplifying (/ (/ (sqrt 1/3) N) (* (cbrt N) (cbrt N))) 9.443 * * [simplify]: iters left: 5 (7 enodes) 9.445 * * [simplify]: iters left: 4 (25 enodes) 9.449 * * [simplify]: iters left: 3 (35 enodes) 9.460 * * [simplify]: iters left: 2 (44 enodes) 9.469 * * [simplify]: iters left: 1 (47 enodes) 9.475 * * [simplify]: Extracting #0: cost 1 inf + 0 9.475 * * [simplify]: Extracting #1: cost 10 inf + 0 9.475 * * [simplify]: Extracting #2: cost 16 inf + 364 9.475 * * [simplify]: Extracting #3: cost 13 inf + 849 9.475 * * [simplify]: Extracting #4: cost 5 inf + 1782 9.476 * * [simplify]: Extracting #5: cost 2 inf + 2388 9.476 * * [simplify]: Extracting #6: cost 0 inf + 2832 9.476 * [simplify]: Simplified to (/ (sqrt 1/3) (* N (* (cbrt N) (cbrt N)))) 9.476 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (sqrt 1/3) (* N (* (cbrt N) (cbrt N)))) (/ (/ (sqrt 1/3) N) (cbrt N))))) 9.477 * [simplify]: Simplifying (/ (/ (sqrt 1/3) N) (cbrt N)) 9.477 * * [simplify]: iters left: 5 (6 enodes) 9.478 * * [simplify]: iters left: 4 (20 enodes) 9.482 * * [simplify]: iters left: 3 (25 enodes) 9.485 * * [simplify]: iters left: 2 (27 enodes) 9.490 * * [simplify]: Extracting #0: cost 1 inf + 0 9.490 * * [simplify]: Extracting #1: cost 8 inf + 0 9.491 * * [simplify]: Extracting #2: cost 11 inf + 203 9.491 * * [simplify]: Extracting #3: cost 8 inf + 406 9.491 * * [simplify]: Extracting #4: cost 4 inf + 893 9.491 * * [simplify]: Extracting #5: cost 0 inf + 1380 9.491 * [simplify]: Simplified to (/ (/ (sqrt 1/3) (cbrt N)) N) 9.491 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (/ (sqrt 1/3) N) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1/3) (cbrt N)) N)))) 9.491 * * * * [progress]: [ 88 / 125 ] simplifiying candidate # 9.491 * [simplify]: Simplifying (/ (/ (sqrt 1/3) N) (sqrt N)) 9.492 * * [simplify]: iters left: 5 (6 enodes) 9.493 * * [simplify]: iters left: 4 (20 enodes) 9.499 * * [simplify]: iters left: 3 (25 enodes) 9.506 * * [simplify]: iters left: 2 (27 enodes) 9.512 * * [simplify]: Extracting #0: cost 1 inf + 0 9.512 * * [simplify]: Extracting #1: cost 8 inf + 0 9.512 * * [simplify]: Extracting #2: cost 11 inf + 123 9.512 * * [simplify]: Extracting #3: cost 8 inf + 246 9.512 * * [simplify]: Extracting #4: cost 4 inf + 653 9.512 * * [simplify]: Extracting #5: cost 0 inf + 1060 9.513 * [simplify]: Simplified to (/ (/ (sqrt 1/3) (sqrt N)) N) 9.513 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (/ (sqrt 1/3) (sqrt N)) N) (/ (/ (sqrt 1/3) N) (sqrt N))))) 9.513 * [simplify]: Simplifying (/ (/ (sqrt 1/3) N) (sqrt N)) 9.513 * * [simplify]: iters left: 5 (6 enodes) 9.514 * * [simplify]: iters left: 4 (20 enodes) 9.518 * * [simplify]: iters left: 3 (25 enodes) 9.521 * * [simplify]: iters left: 2 (27 enodes) 9.525 * * [simplify]: Extracting #0: cost 1 inf + 0 9.525 * * [simplify]: Extracting #1: cost 8 inf + 0 9.525 * * [simplify]: Extracting #2: cost 11 inf + 123 9.525 * * [simplify]: Extracting #3: cost 8 inf + 246 9.526 * * [simplify]: Extracting #4: cost 4 inf + 653 9.526 * * [simplify]: Extracting #5: cost 0 inf + 1060 9.526 * [simplify]: Simplified to (/ (/ (sqrt 1/3) (sqrt N)) N) 9.526 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (/ (sqrt 1/3) N) (sqrt N)) (/ (/ (sqrt 1/3) (sqrt N)) N)))) 9.526 * * * * [progress]: [ 89 / 125 ] simplifiying candidate # 9.526 * [simplify]: Simplifying (/ (/ (sqrt 1/3) N) 1) 9.526 * * [simplify]: iters left: 5 (6 enodes) 9.529 * * [simplify]: iters left: 4 (20 enodes) 9.532 * * [simplify]: iters left: 3 (22 enodes) 9.535 * * [simplify]: Extracting #0: cost 1 inf + 0 9.535 * * [simplify]: Extracting #1: cost 5 inf + 0 9.535 * * [simplify]: Extracting #2: cost 5 inf + 2 9.535 * * [simplify]: Extracting #3: cost 4 inf + 3 9.535 * * [simplify]: Extracting #4: cost 0 inf + 249 9.535 * [simplify]: Simplified to (/ (sqrt 1/3) N) 9.535 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (sqrt 1/3) N) (/ (/ (sqrt 1/3) N) N)))) 9.536 * [simplify]: Simplifying (/ (/ (sqrt 1/3) N) N) 9.536 * * [simplify]: iters left: 5 (5 enodes) 9.537 * * [simplify]: iters left: 4 (17 enodes) 9.540 * * [simplify]: iters left: 3 (19 enodes) 9.544 * * [simplify]: Extracting #0: cost 1 inf + 0 9.544 * * [simplify]: Extracting #1: cost 6 inf + 0 9.544 * * [simplify]: Extracting #2: cost 9 inf + 1 9.544 * * [simplify]: Extracting #3: cost 6 inf + 84 9.544 * * [simplify]: Extracting #4: cost 0 inf + 574 9.544 * [simplify]: Simplified to (/ (sqrt 1/3) (* N N)) 9.544 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (sqrt 1/3) N) (/ (sqrt 1/3) (* N N))))) 9.544 * * * * [progress]: [ 90 / 125 ] simplifiying candidate # 9.545 * [simplify]: Simplifying (/ (/ 1 N) (* (cbrt N) (cbrt N))) 9.545 * * [simplify]: iters left: 5 (6 enodes) 9.547 * * [simplify]: iters left: 4 (24 enodes) 9.555 * * [simplify]: iters left: 3 (36 enodes) 9.566 * * [simplify]: iters left: 2 (45 enodes) 9.579 * * [simplify]: iters left: 1 (48 enodes) 9.591 * * [simplify]: Extracting #0: cost 1 inf + 0 9.591 * * [simplify]: Extracting #1: cost 10 inf + 0 9.592 * * [simplify]: Extracting #2: cost 13 inf + 365 9.592 * * [simplify]: Extracting #3: cost 4 inf + 1743 9.593 * * [simplify]: Extracting #4: cost 0 inf + 2350 9.593 * [simplify]: Simplified to (/ (/ (/ 1 N) (cbrt N)) (cbrt N)) 9.593 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (/ (/ 1 N) (cbrt N)) (cbrt N)) (/ (/ 1/3 N) (cbrt N))))) 9.594 * [simplify]: Simplifying (/ (/ 1/3 N) (cbrt N)) 9.594 * * [simplify]: iters left: 4 (5 enodes) 9.596 * * [simplify]: iters left: 3 (17 enodes) 9.602 * * [simplify]: iters left: 2 (22 enodes) 9.610 * * [simplify]: iters left: 1 (24 enodes) 9.617 * * [simplify]: Extracting #0: cost 1 inf + 0 9.617 * * [simplify]: Extracting #1: cost 8 inf + 0 9.617 * * [simplify]: Extracting #2: cost 10 inf + 2 9.618 * * [simplify]: Extracting #3: cost 2 inf + 814 9.618 * * [simplify]: Extracting #4: cost 0 inf + 1058 9.618 * [simplify]: Simplified to (/ (/ 1/3 N) (cbrt N)) 9.618 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (/ 1 N) (* (cbrt N) (cbrt N))) (/ (/ 1/3 N) (cbrt N))))) 9.618 * * * * [progress]: [ 91 / 125 ] simplifiying candidate # 9.619 * [simplify]: Simplifying (/ (/ 1 N) (sqrt N)) 9.619 * * [simplify]: iters left: 4 (5 enodes) 9.622 * * [simplify]: iters left: 3 (19 enodes) 9.628 * * [simplify]: iters left: 2 (26 enodes) 9.636 * * [simplify]: iters left: 1 (28 enodes) 9.644 * * [simplify]: Extracting #0: cost 1 inf + 0 9.644 * * [simplify]: Extracting #1: cost 8 inf + 0 9.644 * * [simplify]: Extracting #2: cost 8 inf + 124 9.644 * * [simplify]: Extracting #3: cost 0 inf + 738 9.644 * [simplify]: Simplified to (/ (/ 1 N) (sqrt N)) 9.645 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (/ 1 N) (sqrt N)) (/ (/ 1/3 N) (sqrt N))))) 9.645 * [simplify]: Simplifying (/ (/ 1/3 N) (sqrt N)) 9.645 * * [simplify]: iters left: 4 (5 enodes) 9.648 * * [simplify]: iters left: 3 (17 enodes) 9.651 * * [simplify]: iters left: 2 (22 enodes) 9.654 * * [simplify]: iters left: 1 (24 enodes) 9.657 * * [simplify]: Extracting #0: cost 1 inf + 0 9.657 * * [simplify]: Extracting #1: cost 8 inf + 0 9.657 * * [simplify]: Extracting #2: cost 10 inf + 2 9.658 * * [simplify]: Extracting #3: cost 2 inf + 574 9.658 * * [simplify]: Extracting #4: cost 0 inf + 738 9.658 * [simplify]: Simplified to (/ (/ 1/3 N) (sqrt N)) 9.658 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ (/ 1 N) (sqrt N)) (/ (/ 1/3 N) (sqrt N))))) 9.658 * * * * [progress]: [ 92 / 125 ] simplifiying candidate # 9.658 * [simplify]: Simplifying (/ (/ 1 N) 1) 9.658 * * [simplify]: iters left: 4 (4 enodes) 9.660 * * [simplify]: iters left: 3 (14 enodes) 9.662 * * [simplify]: iters left: 2 (16 enodes) 9.664 * * [simplify]: Extracting #0: cost 1 inf + 0 9.664 * * [simplify]: Extracting #1: cost 4 inf + 0 9.664 * * [simplify]: Extracting #2: cost 2 inf + 2 9.664 * * [simplify]: Extracting #3: cost 1 inf + 44 9.664 * * [simplify]: Extracting #4: cost 0 inf + 86 9.664 * [simplify]: Simplified to (/ 1 N) 9.664 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ 1 N) (/ (/ 1/3 N) N)))) 9.664 * [simplify]: Simplifying (/ (/ 1/3 N) N) 9.664 * * [simplify]: iters left: 4 (4 enodes) 9.666 * * [simplify]: iters left: 3 (14 enodes) 9.668 * * [simplify]: iters left: 2 (16 enodes) 9.670 * * [simplify]: Extracting #0: cost 1 inf + 0 9.670 * * [simplify]: Extracting #1: cost 6 inf + 0 9.670 * * [simplify]: Extracting #2: cost 5 inf + 43 9.670 * * [simplify]: Extracting #3: cost 0 inf + 332 9.670 * [simplify]: Simplified to (/ (/ 1/3 N) N) 9.670 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ 1 N) (/ (/ 1/3 N) N)))) 9.670 * * * * [progress]: [ 93 / 125 ] simplifiying candidate # 9.671 * [simplify]: Simplifying (/ 1 (* (cbrt N) (cbrt N))) 9.671 * * [simplify]: iters left: 5 (5 enodes) 9.672 * * [simplify]: iters left: 4 (19 enodes) 9.675 * * [simplify]: iters left: 3 (23 enodes) 9.678 * * [simplify]: Extracting #0: cost 1 inf + 0 9.678 * * [simplify]: Extracting #1: cost 6 inf + 0 9.678 * * [simplify]: Extracting #2: cost 9 inf + 1 9.678 * * [simplify]: Extracting #3: cost 1 inf + 852 9.678 * * [simplify]: Extracting #4: cost 0 inf + 974 9.679 * [simplify]: Simplified to (/ 1 (* (cbrt N) (cbrt N))) 9.679 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1/3 (* N N)) (cbrt N))))) 9.679 * [simplify]: Simplifying (/ (/ 1/3 (* N N)) (cbrt N)) 9.679 * * [simplify]: iters left: 6 (6 enodes) 9.680 * * [simplify]: iters left: 5 (22 enodes) 9.684 * * [simplify]: iters left: 4 (32 enodes) 9.691 * * [simplify]: iters left: 3 (44 enodes) 9.703 * * [simplify]: iters left: 2 (46 enodes) 9.708 * * [simplify]: Extracting #0: cost 1 inf + 0 9.708 * * [simplify]: Extracting #1: cost 12 inf + 0 9.708 * * [simplify]: Extracting #2: cost 16 inf + 204 9.709 * * [simplify]: Extracting #3: cost 3 inf + 1624 9.709 * * [simplify]: Extracting #4: cost 0 inf + 2030 9.709 * [simplify]: Simplified to (/ 1/3 (* N (* N (cbrt N)))) 9.709 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (* N (* N (cbrt N))))))) 9.709 * * * * [progress]: [ 94 / 125 ] simplifiying candidate # 9.710 * [simplify]: Simplifying (/ 1 (sqrt N)) 9.710 * * [simplify]: iters left: 3 (4 enodes) 9.711 * * [simplify]: iters left: 2 (14 enodes) 9.713 * * [simplify]: iters left: 1 (16 enodes) 9.717 * * [simplify]: Extracting #0: cost 1 inf + 0 9.717 * * [simplify]: Extracting #1: cost 4 inf + 0 9.717 * * [simplify]: Extracting #2: cost 5 inf + 1 9.717 * * [simplify]: Extracting #3: cost 3 inf + 43 9.717 * * [simplify]: Extracting #4: cost 1 inf + 166 9.717 * * [simplify]: Extracting #5: cost 0 inf + 248 9.717 * [simplify]: Simplified to (/ 1 (sqrt N)) 9.717 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ 1 (sqrt N)) (/ (/ 1/3 (* N N)) (sqrt N))))) 9.718 * [simplify]: Simplifying (/ (/ 1/3 (* N N)) (sqrt N)) 9.718 * * [simplify]: iters left: 6 (6 enodes) 9.719 * * [simplify]: iters left: 5 (22 enodes) 9.723 * * [simplify]: iters left: 4 (32 enodes) 9.728 * * [simplify]: iters left: 3 (44 enodes) 9.739 * * [simplify]: iters left: 2 (46 enodes) 9.750 * * [simplify]: Extracting #0: cost 1 inf + 0 9.750 * * [simplify]: Extracting #1: cost 12 inf + 0 9.750 * * [simplify]: Extracting #2: cost 16 inf + 124 9.751 * * [simplify]: Extracting #3: cost 3 inf + 1224 9.751 * * [simplify]: Extracting #4: cost 0 inf + 1550 9.752 * [simplify]: Simplified to (/ 1/3 (* N (* N (sqrt N)))) 9.752 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ 1 (sqrt N)) (/ 1/3 (* N (* N (sqrt N))))))) 9.752 * * * * [progress]: [ 95 / 125 ] simplifiying candidate # 9.753 * [simplify]: Simplifying (/ 1 1) 9.753 * * [simplify]: iters left: 2 (2 enodes) 9.754 * * [simplify]: iters left: 1 (6 enodes) 9.757 * * [simplify]: Extracting #0: cost 1 inf + 0 9.757 * * [simplify]: Extracting #1: cost 0 inf + 1 9.757 * [simplify]: Simplified to 1 9.757 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* 1 (/ (/ 1/3 (* N N)) N)))) 9.757 * [simplify]: Simplifying (/ (/ 1/3 (* N N)) N) 9.758 * * [simplify]: iters left: 6 (5 enodes) 9.761 * * [simplify]: iters left: 5 (19 enodes) 9.767 * * [simplify]: iters left: 4 (27 enodes) 9.776 * * [simplify]: iters left: 3 (34 enodes) 9.788 * * [simplify]: iters left: 2 (48 enodes) 9.805 * * [simplify]: iters left: 1 (78 enodes) 9.833 * * [simplify]: Extracting #0: cost 1 inf + 0 9.833 * * [simplify]: Extracting #1: cost 8 inf + 0 9.833 * * [simplify]: Extracting #2: cost 14 inf + 124 9.833 * * [simplify]: Extracting #3: cost 18 inf + 697 9.834 * * [simplify]: Extracting #4: cost 14 inf + 954 9.834 * * [simplify]: Extracting #5: cost 7 inf + 2478 9.834 * * [simplify]: Extracting #6: cost 0 inf + 5599 9.835 * [simplify]: Simplified to (/ 1/3 (* (* N N) N)) 9.835 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* 1 (/ 1/3 (* (* N N) N))))) 9.835 * * * * [progress]: [ 96 / 125 ] simplifiying candidate # 9.835 * [simplify]: Simplifying (/ 1/3 (* (cbrt N) (cbrt N))) 9.835 * * [simplify]: iters left: 5 (5 enodes) 9.837 * * [simplify]: iters left: 4 (17 enodes) 9.839 * * [simplify]: iters left: 3 (19 enodes) 9.842 * * [simplify]: Extracting #0: cost 1 inf + 0 9.842 * * [simplify]: Extracting #1: cost 6 inf + 0 9.842 * * [simplify]: Extracting #2: cost 9 inf + 1 9.842 * * [simplify]: Extracting #3: cost 8 inf + 2 9.842 * * [simplify]: Extracting #4: cost 1 inf + 852 9.842 * * [simplify]: Extracting #5: cost 0 inf + 974 9.843 * [simplify]: Simplified to (/ 1/3 (* (cbrt N) (cbrt N))) 9.843 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ 1/3 (* (cbrt N) (cbrt N))) (/ (/ 1 (* N N)) (cbrt N))))) 9.843 * [simplify]: Simplifying (/ (/ 1 (* N N)) (cbrt N)) 9.843 * * [simplify]: iters left: 6 (6 enodes) 9.846 * * [simplify]: iters left: 5 (24 enodes) 9.850 * * [simplify]: iters left: 4 (36 enodes) 9.856 * * [simplify]: iters left: 3 (48 enodes) 9.862 * * [simplify]: iters left: 2 (50 enodes) 9.868 * * [simplify]: Extracting #0: cost 1 inf + 0 9.868 * * [simplify]: Extracting #1: cost 12 inf + 0 9.868 * * [simplify]: Extracting #2: cost 13 inf + 449 9.869 * * [simplify]: Extracting #3: cost 3 inf + 1584 9.869 * * [simplify]: Extracting #4: cost 0 inf + 2030 9.869 * [simplify]: Simplified to (/ (/ (/ 1 (cbrt N)) N) N) 9.869 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ 1/3 (* (cbrt N) (cbrt N))) (/ (/ (/ 1 (cbrt N)) N) N)))) 9.869 * * * * [progress]: [ 97 / 125 ] simplifiying candidate # 9.870 * [simplify]: Simplifying (/ 1/3 (sqrt N)) 9.870 * * [simplify]: iters left: 3 (4 enodes) 9.872 * * [simplify]: iters left: 2 (12 enodes) 9.876 * * [simplify]: Extracting #0: cost 1 inf + 0 9.876 * * [simplify]: Extracting #1: cost 4 inf + 0 9.876 * * [simplify]: Extracting #2: cost 5 inf + 1 9.876 * * [simplify]: Extracting #3: cost 4 inf + 2 9.876 * * [simplify]: Extracting #4: cost 0 inf + 248 9.876 * [simplify]: Simplified to (/ 1/3 (sqrt N)) 9.876 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ 1/3 (sqrt N)) (/ (/ 1 (* N N)) (sqrt N))))) 9.877 * [simplify]: Simplifying (/ (/ 1 (* N N)) (sqrt N)) 9.877 * * [simplify]: iters left: 6 (6 enodes) 9.880 * * [simplify]: iters left: 5 (24 enodes) 9.888 * * [simplify]: iters left: 4 (36 enodes) 9.899 * * [simplify]: iters left: 3 (48 enodes) 9.913 * * [simplify]: iters left: 2 (50 enodes) 9.925 * * [simplify]: Extracting #0: cost 1 inf + 0 9.926 * * [simplify]: Extracting #1: cost 12 inf + 0 9.926 * * [simplify]: Extracting #2: cost 13 inf + 329 9.926 * * [simplify]: Extracting #3: cost 3 inf + 1184 9.927 * * [simplify]: Extracting #4: cost 0 inf + 1550 9.928 * [simplify]: Simplified to (/ (/ (/ 1 (sqrt N)) N) N) 9.928 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* (/ 1/3 (sqrt N)) (/ (/ (/ 1 (sqrt N)) N) N)))) 9.928 * * * * [progress]: [ 98 / 125 ] simplifiying candidate # 9.929 * [simplify]: Simplifying (/ 1/3 1) 9.929 * * [simplify]: iters left: 2 (3 enodes) 9.931 * * [simplify]: iters left: 1 (9 enodes) 9.935 * * [simplify]: Extracting #0: cost 1 inf + 0 9.935 * * [simplify]: Extracting #1: cost 0 inf + 1 9.935 * [simplify]: Simplified to 1/3 9.935 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* 1/3 (/ (/ 1 (* N N)) N)))) 9.935 * [simplify]: Simplifying (/ (/ 1 (* N N)) N) 9.935 * * [simplify]: iters left: 6 (5 enodes) 9.938 * * [simplify]: iters left: 5 (21 enodes) 9.943 * * [simplify]: iters left: 4 (31 enodes) 9.948 * * [simplify]: iters left: 3 (38 enodes) 9.955 * * [simplify]: iters left: 2 (52 enodes) 9.967 * * [simplify]: iters left: 1 (82 enodes) 9.982 * * [simplify]: Extracting #0: cost 1 inf + 0 9.982 * * [simplify]: Extracting #1: cost 8 inf + 0 9.982 * * [simplify]: Extracting #2: cost 14 inf + 124 9.982 * * [simplify]: Extracting #3: cost 19 inf + 575 9.982 * * [simplify]: Extracting #4: cost 15 inf + 742 9.982 * * [simplify]: Extracting #5: cost 8 inf + 2266 9.983 * * [simplify]: Extracting #6: cost 0 inf + 5599 9.984 * [simplify]: Simplified to (/ 1 (* (* N N) N)) 9.984 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (* 1/3 (/ 1 (* (* N N) N))))) 9.984 * * * * [progress]: [ 99 / 125 ] simplifiying candidate # 9.984 * * * * [progress]: [ 100 / 125 ] simplifiying candidate # 9.984 * * * * [progress]: [ 101 / 125 ] simplifiying candidate # 9.984 * * * * [progress]: [ 102 / 125 ] simplifiying candidate # 9.984 * [simplify]: Simplifying (cbrt N) 9.984 * * [simplify]: iters left: 1 (2 enodes) 9.984 * * [simplify]: Extracting #0: cost 1 inf + 0 9.984 * * [simplify]: Extracting #1: cost 3 inf + 0 9.985 * * [simplify]: Extracting #2: cost 2 inf + 1 9.985 * * [simplify]: Extracting #3: cost 0 inf + 163 9.985 * [simplify]: Simplified to (cbrt N) 9.985 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ (/ 1/3 (* N N)) (* (cbrt N) (cbrt N))) (cbrt N)))) 9.985 * * * * [progress]: [ 103 / 125 ] simplifiying candidate # 9.985 * [simplify]: Simplifying (sqrt N) 9.985 * * [simplify]: iters left: 1 (2 enodes) 9.985 * * [simplify]: Extracting #0: cost 1 inf + 0 9.985 * * [simplify]: Extracting #1: cost 3 inf + 0 9.985 * * [simplify]: Extracting #2: cost 2 inf + 1 9.985 * * [simplify]: Extracting #3: cost 0 inf + 83 9.985 * [simplify]: Simplified to (sqrt N) 9.985 * [simplify]: Simplified (2 2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ (/ 1/3 (* N N)) (sqrt N)) (sqrt N)))) 9.985 * * * * [progress]: [ 104 / 125 ] simplifiying candidate # 9.986 * * * * [progress]: [ 105 / 125 ] simplifiying candidate # 9.986 * [simplify]: Simplifying (* (cbrt (/ 1/3 (* N N))) (cbrt (/ 1/3 (* N N)))) 9.986 * * [simplify]: iters left: 6 (6 enodes) 9.987 * * [simplify]: iters left: 5 (20 enodes) 9.990 * * [simplify]: iters left: 4 (22 enodes) 9.993 * * [simplify]: Extracting #0: cost 1 inf + 0 9.993 * * [simplify]: Extracting #1: cost 3 inf + 0 9.993 * * [simplify]: Extracting #2: cost 5 inf + 0 9.994 * * [simplify]: Extracting #3: cost 10 inf + 0 9.994 * * [simplify]: Extracting #4: cost 10 inf + 2 9.994 * * [simplify]: Extracting #5: cost 1 inf + 858 9.994 * * [simplify]: Extracting #6: cost 0 inf + 1060 9.994 * [simplify]: Simplified to (* (cbrt (/ 1/3 (* N N))) (cbrt (/ 1/3 (* N N)))) 9.994 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (* (cbrt (/ 1/3 (* N N))) (cbrt (/ 1/3 (* N N)))) (/ N (cbrt (/ 1/3 (* N N))))))) 9.994 * * * * [progress]: [ 106 / 125 ] simplifiying candidate # 9.994 * [simplify]: Simplifying (sqrt (/ 1/3 (* N N))) 9.994 * * [simplify]: iters left: 5 (5 enodes) 9.996 * * [simplify]: iters left: 4 (17 enodes) 9.999 * * [simplify]: iters left: 3 (19 enodes) 10.004 * * [simplify]: Extracting #0: cost 1 inf + 0 10.004 * * [simplify]: Extracting #1: cost 3 inf + 0 10.005 * * [simplify]: Extracting #2: cost 8 inf + 0 10.005 * * [simplify]: Extracting #3: cost 7 inf + 43 10.005 * * [simplify]: Extracting #4: cost 0 inf + 576 10.005 * [simplify]: Simplified to (sqrt (/ 1/3 (* N N))) 10.005 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (sqrt (/ 1/3 (* N N))) (/ N (sqrt (/ 1/3 (* N N))))))) 10.005 * * * * [progress]: [ 107 / 125 ] simplifiying candidate # 10.006 * [simplify]: Simplifying (/ (* (cbrt 1/3) (cbrt 1/3)) N) 10.006 * * [simplify]: iters left: 5 (5 enodes) 10.009 * * [simplify]: iters left: 4 (17 enodes) 10.014 * * [simplify]: iters left: 3 (21 enodes) 10.021 * * [simplify]: iters left: 2 (24 enodes) 10.029 * * [simplify]: Extracting #0: cost 1 inf + 0 10.029 * * [simplify]: Extracting #1: cost 7 inf + 0 10.029 * * [simplify]: Extracting #2: cost 11 inf + 1 10.029 * * [simplify]: Extracting #3: cost 10 inf + 2 10.029 * * [simplify]: Extracting #4: cost 0 inf + 1218 10.029 * [simplify]: Simplified to (/ (* (cbrt 1/3) (cbrt 1/3)) N) 10.029 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ (* (cbrt 1/3) (cbrt 1/3)) N) (/ N (/ (cbrt 1/3) N))))) 10.030 * * * * [progress]: [ 108 / 125 ] simplifiying candidate # 10.030 * [simplify]: Simplifying (/ (sqrt 1/3) N) 10.030 * * [simplify]: iters left: 3 (4 enodes) 10.032 * * [simplify]: iters left: 2 (12 enodes) 10.037 * * [simplify]: Extracting #0: cost 1 inf + 0 10.037 * * [simplify]: Extracting #1: cost 4 inf + 0 10.037 * * [simplify]: Extracting #2: cost 5 inf + 1 10.037 * * [simplify]: Extracting #3: cost 4 inf + 2 10.037 * * [simplify]: Extracting #4: cost 0 inf + 248 10.037 * [simplify]: Simplified to (/ (sqrt 1/3) N) 10.037 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ (sqrt 1/3) N) (/ N (/ (sqrt 1/3) N))))) 10.037 * * * * [progress]: [ 109 / 125 ] simplifiying candidate # 10.038 * [simplify]: Simplifying (/ 1 N) 10.038 * * [simplify]: iters left: 2 (3 enodes) 10.039 * * [simplify]: iters left: 1 (11 enodes) 10.043 * * [simplify]: Extracting #0: cost 1 inf + 0 10.043 * * [simplify]: Extracting #1: cost 4 inf + 0 10.043 * * [simplify]: Extracting #2: cost 2 inf + 2 10.043 * * [simplify]: Extracting #3: cost 0 inf + 86 10.044 * [simplify]: Simplified to (/ 1 N) 10.044 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1 N) (/ N (/ 1/3 N))))) 10.044 * * * * [progress]: [ 110 / 125 ] simplifiying candidate # 10.044 * * * * [progress]: [ 111 / 125 ] simplifiying candidate # 10.044 * * * * [progress]: [ 112 / 125 ] simplifiying candidate # 10.044 * * * * [progress]: [ 113 / 125 ] simplifiying candidate #real (real->posit16 (/ (/ 1/3 (* N N)) N)))))> 10.044 * * * * [progress]: [ 114 / 125 ] simplifiying candidate # 10.044 * [simplify]: Simplifying (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 10.044 * * [simplify]: iters left: 6 (15 enodes) 10.055 * * [simplify]: iters left: 5 (68 enodes) 10.084 * * [simplify]: iters left: 4 (114 enodes) 10.121 * * [simplify]: iters left: 3 (170 enodes) 10.175 * * [simplify]: iters left: 2 (277 enodes) 10.239 * * [simplify]: iters left: 1 (483 enodes) 10.460 * * [simplify]: Extracting #0: cost 1 inf + 0 10.460 * * [simplify]: Extracting #1: cost 16 inf + 0 10.460 * * [simplify]: Extracting #2: cost 115 inf + 0 10.461 * * [simplify]: Extracting #3: cost 226 inf + 172 10.463 * * [simplify]: Extracting #4: cost 204 inf + 4343 10.466 * * [simplify]: Extracting #5: cost 131 inf + 27246 10.475 * * [simplify]: Extracting #6: cost 12 inf + 97808 10.485 * * [simplify]: Extracting #7: cost 0 inf + 106610 10.497 * [simplify]: Simplified to (+ (/ 1 N) (/ (* 1 (+ (/ 1/3 N) -1/2)) (* N N))) 10.497 * [simplify]: Simplified (2) to (λ (N) (+ (/ 1 N) (/ (* 1 (+ (/ 1/3 N) -1/2)) (* N N)))) 10.497 * * * * [progress]: [ 115 / 125 ] simplifiying candidate # 10.498 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 10.498 * * [simplify]: iters left: 6 (15 enodes) 10.503 * * [simplify]: iters left: 5 (68 enodes) 10.517 * * [simplify]: iters left: 4 (114 enodes) 10.536 * * [simplify]: iters left: 3 (170 enodes) 10.580 * * [simplify]: iters left: 2 (278 enodes) 10.635 * * [simplify]: Extracting #0: cost 1 inf + 0 10.635 * * [simplify]: Extracting #1: cost 11 inf + 0 10.636 * * [simplify]: Extracting #2: cost 69 inf + 0 10.636 * * [simplify]: Extracting #3: cost 110 inf + 741 10.637 * * [simplify]: Extracting #4: cost 88 inf + 3078 10.639 * * [simplify]: Extracting #5: cost 40 inf + 17981 10.642 * * [simplify]: Extracting #6: cost 6 inf + 30433 10.646 * * [simplify]: Extracting #7: cost 0 inf + 32845 10.650 * * [simplify]: Extracting #8: cost 0 inf + 32765 10.653 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 10.653 * [simplify]: Simplified (2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 10.653 * * * * [progress]: [ 116 / 125 ] simplifiying candidate # 10.653 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 10.654 * * [simplify]: iters left: 6 (15 enodes) 10.660 * * [simplify]: iters left: 5 (68 enodes) 10.676 * * [simplify]: iters left: 4 (114 enodes) 10.695 * * [simplify]: iters left: 3 (170 enodes) 10.733 * * [simplify]: iters left: 2 (278 enodes) 10.787 * * [simplify]: Extracting #0: cost 1 inf + 0 10.787 * * [simplify]: Extracting #1: cost 11 inf + 0 10.788 * * [simplify]: Extracting #2: cost 69 inf + 0 10.788 * * [simplify]: Extracting #3: cost 110 inf + 741 10.789 * * [simplify]: Extracting #4: cost 88 inf + 3078 10.791 * * [simplify]: Extracting #5: cost 40 inf + 17981 10.794 * * [simplify]: Extracting #6: cost 6 inf + 30433 10.799 * * [simplify]: Extracting #7: cost 0 inf + 32845 10.804 * * [simplify]: Extracting #8: cost 0 inf + 32765 10.810 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 10.810 * [simplify]: Simplified (2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 10.810 * * * * [progress]: [ 117 / 125 ] simplifiying candidate # 10.811 * [simplify]: Simplifying (/ 1/3 (pow N 2)) 10.811 * * [simplify]: iters left: 3 (5 enodes) 10.815 * * [simplify]: iters left: 2 (20 enodes) 10.822 * * [simplify]: iters left: 1 (26 enodes) 10.829 * * [simplify]: Extracting #0: cost 1 inf + 0 10.830 * * [simplify]: Extracting #1: cost 6 inf + 0 10.830 * * [simplify]: Extracting #2: cost 6 inf + 43 10.830 * * [simplify]: Extracting #3: cost 0 inf + 333 10.830 * [simplify]: Simplified to (/ 1/3 (* N N)) 10.830 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 10.830 * * * * [progress]: [ 118 / 125 ] simplifiying candidate # 10.830 * [simplify]: Simplifying (/ 1/3 (pow N 2)) 10.830 * * [simplify]: iters left: 3 (5 enodes) 10.834 * * [simplify]: iters left: 2 (20 enodes) 10.840 * * [simplify]: iters left: 1 (26 enodes) 10.847 * * [simplify]: Extracting #0: cost 1 inf + 0 10.847 * * [simplify]: Extracting #1: cost 6 inf + 0 10.847 * * [simplify]: Extracting #2: cost 6 inf + 43 10.847 * * [simplify]: Extracting #3: cost 0 inf + 333 10.847 * [simplify]: Simplified to (/ 1/3 (* N N)) 10.847 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 10.847 * * * * [progress]: [ 119 / 125 ] simplifiying candidate # 10.848 * [simplify]: Simplifying (/ 1/3 (pow N 2)) 10.848 * * [simplify]: iters left: 3 (5 enodes) 10.849 * * [simplify]: iters left: 2 (20 enodes) 10.853 * * [simplify]: iters left: 1 (26 enodes) 10.859 * * [simplify]: Extracting #0: cost 1 inf + 0 10.859 * * [simplify]: Extracting #1: cost 6 inf + 0 10.859 * * [simplify]: Extracting #2: cost 6 inf + 43 10.859 * * [simplify]: Extracting #3: cost 0 inf + 333 10.859 * [simplify]: Simplified to (/ 1/3 (* N N)) 10.859 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 10.859 * * * * [progress]: [ 120 / 125 ] simplifiying candidate # 10.859 * [simplify]: Simplifying (/ -1/2 (pow N 2)) 10.859 * * [simplify]: iters left: 3 (5 enodes) 10.861 * * [simplify]: iters left: 2 (20 enodes) 10.864 * * [simplify]: iters left: 1 (26 enodes) 10.868 * * [simplify]: Extracting #0: cost 1 inf + 0 10.868 * * [simplify]: Extracting #1: cost 6 inf + 0 10.868 * * [simplify]: Extracting #2: cost 6 inf + 43 10.868 * * [simplify]: Extracting #3: cost 0 inf + 333 10.869 * [simplify]: Simplified to (/ -1/2 (* N N)) 10.869 * [simplify]: Simplified (2 1 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 10.869 * * * * [progress]: [ 121 / 125 ] simplifiying candidate # 10.869 * [simplify]: Simplifying (/ -1/2 (pow N 2)) 10.869 * * [simplify]: iters left: 3 (5 enodes) 10.871 * * [simplify]: iters left: 2 (20 enodes) 10.874 * * [simplify]: iters left: 1 (26 enodes) 10.878 * * [simplify]: Extracting #0: cost 1 inf + 0 10.878 * * [simplify]: Extracting #1: cost 6 inf + 0 10.879 * * [simplify]: Extracting #2: cost 6 inf + 43 10.879 * * [simplify]: Extracting #3: cost 0 inf + 333 10.879 * [simplify]: Simplified to (/ -1/2 (* N N)) 10.879 * [simplify]: Simplified (2 1 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 10.879 * * * * [progress]: [ 122 / 125 ] simplifiying candidate # 10.880 * [simplify]: Simplifying (/ -1/2 (pow N 2)) 10.880 * * [simplify]: iters left: 3 (5 enodes) 10.883 * * [simplify]: iters left: 2 (20 enodes) 10.890 * * [simplify]: iters left: 1 (26 enodes) 10.897 * * [simplify]: Extracting #0: cost 1 inf + 0 10.897 * * [simplify]: Extracting #1: cost 6 inf + 0 10.898 * * [simplify]: Extracting #2: cost 6 inf + 43 10.898 * * [simplify]: Extracting #3: cost 0 inf + 333 10.898 * [simplify]: Simplified to (/ -1/2 (* N N)) 10.898 * [simplify]: Simplified (2 1 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 10.898 * * * * [progress]: [ 123 / 125 ] simplifiying candidate # 10.898 * [simplify]: Simplifying (/ 1/3 (pow N 3)) 10.898 * * [simplify]: iters left: 3 (5 enodes) 10.902 * * [simplify]: iters left: 2 (23 enodes) 10.909 * * [simplify]: iters left: 1 (45 enodes) 10.918 * * [simplify]: Extracting #0: cost 1 inf + 0 10.918 * * [simplify]: Extracting #1: cost 10 inf + 0 10.918 * * [simplify]: Extracting #2: cost 16 inf + 167 10.918 * * [simplify]: Extracting #3: cost 11 inf + 659 10.919 * * [simplify]: Extracting #4: cost 3 inf + 2347 10.919 * * [simplify]: Extracting #5: cost 1 inf + 2601 10.919 * * [simplify]: Extracting #6: cost 0 inf + 2813 10.920 * [simplify]: Simplified to (/ (/ (/ 1/3 N) N) N) 10.920 * [simplify]: Simplified (2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ (/ 1/3 N) N) N))) 10.920 * * * * [progress]: [ 124 / 125 ] simplifiying candidate # 10.920 * [simplify]: Simplifying (/ 1/3 (pow N 3)) 10.920 * * [simplify]: iters left: 3 (5 enodes) 10.922 * * [simplify]: iters left: 2 (23 enodes) 10.927 * * [simplify]: iters left: 1 (45 enodes) 10.936 * * [simplify]: Extracting #0: cost 1 inf + 0 10.936 * * [simplify]: Extracting #1: cost 10 inf + 0 10.936 * * [simplify]: Extracting #2: cost 16 inf + 167 10.937 * * [simplify]: Extracting #3: cost 11 inf + 659 10.937 * * [simplify]: Extracting #4: cost 3 inf + 2347 10.937 * * [simplify]: Extracting #5: cost 1 inf + 2601 10.938 * * [simplify]: Extracting #6: cost 0 inf + 2813 10.939 * [simplify]: Simplified to (/ (/ (/ 1/3 N) N) N) 10.939 * [simplify]: Simplified (2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ (/ 1/3 N) N) N))) 10.939 * * * * [progress]: [ 125 / 125 ] simplifiying candidate # 10.939 * [simplify]: Simplifying (/ 1/3 (pow N 3)) 10.940 * * [simplify]: iters left: 3 (5 enodes) 10.943 * * [simplify]: iters left: 2 (23 enodes) 10.954 * * [simplify]: iters left: 1 (45 enodes) 10.974 * * [simplify]: Extracting #0: cost 1 inf + 0 10.974 * * [simplify]: Extracting #1: cost 10 inf + 0 10.974 * * [simplify]: Extracting #2: cost 16 inf + 167 10.975 * * [simplify]: Extracting #3: cost 11 inf + 659 10.975 * * [simplify]: Extracting #4: cost 3 inf + 2347 10.976 * * [simplify]: Extracting #5: cost 1 inf + 2601 10.976 * * [simplify]: Extracting #6: cost 0 inf + 2813 10.977 * [simplify]: Simplified to (/ (/ (/ 1/3 N) N) N) 10.977 * [simplify]: Simplified (2 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ (/ 1/3 N) N) N))) 10.977 * * * [progress]: adding candidates to table 12.024 * * [progress]: iteration 4 / 4 12.024 * * * [progress]: picking best candidate 12.040 * * * * [pick]: Picked # 12.040 * * * [progress]: localizing error 12.090 * * * [progress]: generating rewritten candidates 12.090 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 12.176 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 12.265 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 12.319 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 12.327 * * * [progress]: generating series expansions 12.327 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 12.327 * [backup-simplify]: Simplify (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) into (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))) 12.327 * [approximate]: Taking taylor expansion of (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))) in (N) around 0 12.327 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))) in N 12.327 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 12.327 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 12.327 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.327 * [taylor]: Taking taylor expansion of N in N 12.327 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify 1 into 1 12.328 * [backup-simplify]: Simplify (/ 1 1) into 1 12.328 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 12.328 * [taylor]: Taking taylor expansion of 1/3 in N 12.328 * [backup-simplify]: Simplify 1/3 into 1/3 12.328 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 12.328 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.328 * [taylor]: Taking taylor expansion of N in N 12.328 * [backup-simplify]: Simplify 0 into 0 12.328 * [backup-simplify]: Simplify 1 into 1 12.328 * [backup-simplify]: Simplify (* 1 1) into 1 12.329 * [backup-simplify]: Simplify (* 1 1) into 1 12.329 * [backup-simplify]: Simplify (/ 1 1) into 1 12.329 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 12.329 * [taylor]: Taking taylor expansion of 1/2 in N 12.329 * [backup-simplify]: Simplify 1/2 into 1/2 12.329 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 12.329 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.329 * [taylor]: Taking taylor expansion of N in N 12.329 * [backup-simplify]: Simplify 0 into 0 12.329 * [backup-simplify]: Simplify 1 into 1 12.329 * [backup-simplify]: Simplify (* 1 1) into 1 12.330 * [backup-simplify]: Simplify (/ 1 1) into 1 12.330 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 12.330 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.330 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 12.331 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 12.331 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))) in N 12.331 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 12.331 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 12.331 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.331 * [taylor]: Taking taylor expansion of N in N 12.331 * [backup-simplify]: Simplify 0 into 0 12.331 * [backup-simplify]: Simplify 1 into 1 12.331 * [backup-simplify]: Simplify (/ 1 1) into 1 12.331 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 12.331 * [taylor]: Taking taylor expansion of 1/3 in N 12.331 * [backup-simplify]: Simplify 1/3 into 1/3 12.331 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 12.331 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.331 * [taylor]: Taking taylor expansion of N in N 12.331 * [backup-simplify]: Simplify 0 into 0 12.331 * [backup-simplify]: Simplify 1 into 1 12.331 * [backup-simplify]: Simplify (* 1 1) into 1 12.332 * [backup-simplify]: Simplify (* 1 1) into 1 12.332 * [backup-simplify]: Simplify (/ 1 1) into 1 12.332 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 12.332 * [taylor]: Taking taylor expansion of 1/2 in N 12.332 * [backup-simplify]: Simplify 1/2 into 1/2 12.332 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 12.332 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.332 * [taylor]: Taking taylor expansion of N in N 12.332 * [backup-simplify]: Simplify 0 into 0 12.332 * [backup-simplify]: Simplify 1 into 1 12.332 * [backup-simplify]: Simplify (* 1 1) into 1 12.332 * [backup-simplify]: Simplify (/ 1 1) into 1 12.333 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 12.333 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.333 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 12.333 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 12.334 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 12.334 * [backup-simplify]: Simplify (- (log 1/3) (* 3 (log N))) into (- (log 1/3) (* 3 (log N))) 12.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.336 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 12.336 * [backup-simplify]: Simplify (+ 0 0) into 0 12.336 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.337 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.337 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 12.338 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 12.338 * [backup-simplify]: Simplify -3/2 into -3/2 12.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.342 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 12.342 * [backup-simplify]: Simplify (+ 1 0) into 1 12.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.345 * [backup-simplify]: Simplify (- 0) into 0 12.345 * [backup-simplify]: Simplify (+ 1 0) into 1 12.348 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 12.348 * [backup-simplify]: Simplify 15/8 into 15/8 12.349 * [backup-simplify]: Simplify (+ (* 15/8 (pow N 2)) (+ (* -3/2 N) (- (log 1/3) (* 3 (log N))))) into (- (+ (log 1/3) (* 15/8 (pow N 2))) (+ (* 3/2 N) (* 3 (log N)))) 12.350 * [backup-simplify]: Simplify (log (+ (+ (/ 1 (/ 1 N)) (/ -1/2 (* (/ 1 N) (/ 1 N)))) (/ (/ 1/3 (* (/ 1 N) (/ 1 N))) (/ 1 N)))) into (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) 12.350 * [approximate]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in (N) around 0 12.350 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 12.350 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 12.350 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 12.350 * [taylor]: Taking taylor expansion of N in N 12.350 * [backup-simplify]: Simplify 0 into 0 12.350 * [backup-simplify]: Simplify 1 into 1 12.350 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 12.350 * [taylor]: Taking taylor expansion of 1/3 in N 12.350 * [backup-simplify]: Simplify 1/3 into 1/3 12.350 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.350 * [taylor]: Taking taylor expansion of N in N 12.350 * [backup-simplify]: Simplify 0 into 0 12.350 * [backup-simplify]: Simplify 1 into 1 12.350 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 12.350 * [taylor]: Taking taylor expansion of 1/2 in N 12.350 * [backup-simplify]: Simplify 1/2 into 1/2 12.350 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.350 * [taylor]: Taking taylor expansion of N in N 12.350 * [backup-simplify]: Simplify 0 into 0 12.350 * [backup-simplify]: Simplify 1 into 1 12.351 * [backup-simplify]: Simplify (+ 0 0) into 0 12.351 * [backup-simplify]: Simplify (+ 0 0) into 0 12.351 * [backup-simplify]: Simplify (+ 1 0) into 1 12.352 * [backup-simplify]: Simplify (+ 1 0) into 1 12.352 * [backup-simplify]: Simplify (log 1) into 0 12.352 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 12.352 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 12.352 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 12.352 * [taylor]: Taking taylor expansion of N in N 12.352 * [backup-simplify]: Simplify 0 into 0 12.352 * [backup-simplify]: Simplify 1 into 1 12.352 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 12.352 * [taylor]: Taking taylor expansion of 1/3 in N 12.353 * [backup-simplify]: Simplify 1/3 into 1/3 12.353 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.353 * [taylor]: Taking taylor expansion of N in N 12.353 * [backup-simplify]: Simplify 0 into 0 12.353 * [backup-simplify]: Simplify 1 into 1 12.353 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 12.353 * [taylor]: Taking taylor expansion of 1/2 in N 12.353 * [backup-simplify]: Simplify 1/2 into 1/2 12.353 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.353 * [taylor]: Taking taylor expansion of N in N 12.353 * [backup-simplify]: Simplify 0 into 0 12.353 * [backup-simplify]: Simplify 1 into 1 12.353 * [backup-simplify]: Simplify (+ 0 0) into 0 12.354 * [backup-simplify]: Simplify (+ 0 0) into 0 12.354 * [backup-simplify]: Simplify (+ 1 0) into 1 12.354 * [backup-simplify]: Simplify (+ 1 0) into 1 12.355 * [backup-simplify]: Simplify (log 1) into 0 12.355 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.355 * [backup-simplify]: Simplify (log N) into (log N) 12.356 * [backup-simplify]: Simplify (+ 0 0) into 0 12.356 * [backup-simplify]: Simplify (* 1 1) into 1 12.357 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.357 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.357 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 12.359 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 12.359 * [backup-simplify]: Simplify -1/2 into -1/2 12.359 * [backup-simplify]: Simplify (* 1 1) into 1 12.360 * [backup-simplify]: Simplify (* 1 1) into 1 12.360 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 12.361 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.362 * [backup-simplify]: Simplify (- 0) into 0 12.363 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 12.366 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 12.366 * [backup-simplify]: Simplify 5/24 into 5/24 12.366 * [backup-simplify]: Simplify (+ (* 5/24 (pow (/ 1 N) 2)) (+ (* -1/2 (/ 1 N)) (log (/ 1 N)))) into (- (+ (* 5/24 (/ 1 (pow N 2))) (log (/ 1 N))) (* 1/2 (/ 1 N))) 12.367 * [backup-simplify]: Simplify (log (+ (+ (/ 1 (/ 1 (- N))) (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N))))) (/ (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (- N))))) into (log (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))))) 12.367 * [approximate]: Taking taylor expansion of (log (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))))) in (N) around 0 12.367 * [taylor]: Taking taylor expansion of (log (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))))) in N 12.367 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 12.367 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 12.367 * [taylor]: Taking taylor expansion of N in N 12.367 * [backup-simplify]: Simplify 0 into 0 12.367 * [backup-simplify]: Simplify 1 into 1 12.368 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 12.368 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 12.368 * [taylor]: Taking taylor expansion of 1/2 in N 12.368 * [backup-simplify]: Simplify 1/2 into 1/2 12.368 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.368 * [taylor]: Taking taylor expansion of N in N 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify 1 into 1 12.368 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 12.368 * [taylor]: Taking taylor expansion of 1/3 in N 12.368 * [backup-simplify]: Simplify 1/3 into 1/3 12.368 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.368 * [taylor]: Taking taylor expansion of N in N 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify 1 into 1 12.368 * [backup-simplify]: Simplify (+ 0 0) into 0 12.369 * [backup-simplify]: Simplify (- 0) into 0 12.369 * [backup-simplify]: Simplify (+ 1 0) into 1 12.370 * [backup-simplify]: Simplify (- 1) into -1 12.370 * [backup-simplify]: Simplify (- 1) into -1 12.370 * [backup-simplify]: Simplify (log -1) into (log -1) 12.370 * [taylor]: Taking taylor expansion of (log (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))))) in N 12.370 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 12.370 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 12.370 * [taylor]: Taking taylor expansion of N in N 12.370 * [backup-simplify]: Simplify 0 into 0 12.370 * [backup-simplify]: Simplify 1 into 1 12.371 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 12.371 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 12.371 * [taylor]: Taking taylor expansion of 1/2 in N 12.371 * [backup-simplify]: Simplify 1/2 into 1/2 12.371 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.371 * [taylor]: Taking taylor expansion of N in N 12.371 * [backup-simplify]: Simplify 0 into 0 12.371 * [backup-simplify]: Simplify 1 into 1 12.371 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 12.371 * [taylor]: Taking taylor expansion of 1/3 in N 12.371 * [backup-simplify]: Simplify 1/3 into 1/3 12.371 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.371 * [taylor]: Taking taylor expansion of N in N 12.371 * [backup-simplify]: Simplify 0 into 0 12.371 * [backup-simplify]: Simplify 1 into 1 12.371 * [backup-simplify]: Simplify (+ 0 0) into 0 12.372 * [backup-simplify]: Simplify (- 0) into 0 12.372 * [backup-simplify]: Simplify (+ 1 0) into 1 12.372 * [backup-simplify]: Simplify (- 1) into -1 12.373 * [backup-simplify]: Simplify (- 1) into -1 12.373 * [backup-simplify]: Simplify (log -1) into (log -1) 12.374 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 12.374 * [backup-simplify]: Simplify (+ (log N) (log -1)) into (+ (log N) (log -1)) 12.374 * [backup-simplify]: Simplify (* 1 1) into 1 12.375 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.375 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.375 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 12.375 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.376 * [backup-simplify]: Simplify (- 1) into -1 12.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 12.376 * [backup-simplify]: Simplify 1/2 into 1/2 12.377 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.377 * [backup-simplify]: Simplify (- 1) into -1 12.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.378 * [backup-simplify]: Simplify (* 1 1) into 1 12.378 * [backup-simplify]: Simplify (* 1 1) into 1 12.378 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 12.379 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.379 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.379 * [backup-simplify]: Simplify (- 1/3) into -1/3 12.379 * [backup-simplify]: Simplify (- 1) into -1 12.381 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 12.381 * [backup-simplify]: Simplify 5/24 into 5/24 12.381 * [backup-simplify]: Simplify (+ (* 5/24 (pow (/ 1 (- N)) 2)) (+ (* 1/2 (/ 1 (- N))) (+ (log (/ 1 (- N))) (log -1)))) into (- (+ (* 5/24 (/ 1 (pow N 2))) (+ (log (/ -1 N)) (log -1))) (* 1/2 (/ 1 N))) 12.381 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 12.382 * [backup-simplify]: Simplify (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 12.382 * [approximate]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 12.382 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 12.382 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 12.382 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.382 * [taylor]: Taking taylor expansion of N in N 12.382 * [backup-simplify]: Simplify 0 into 0 12.382 * [backup-simplify]: Simplify 1 into 1 12.382 * [backup-simplify]: Simplify (/ 1 1) into 1 12.382 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 12.382 * [taylor]: Taking taylor expansion of 1/3 in N 12.382 * [backup-simplify]: Simplify 1/3 into 1/3 12.382 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 12.382 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.382 * [taylor]: Taking taylor expansion of N in N 12.382 * [backup-simplify]: Simplify 0 into 0 12.382 * [backup-simplify]: Simplify 1 into 1 12.382 * [backup-simplify]: Simplify (* 1 1) into 1 12.383 * [backup-simplify]: Simplify (* 1 1) into 1 12.383 * [backup-simplify]: Simplify (/ 1 1) into 1 12.383 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 12.383 * [taylor]: Taking taylor expansion of 1/2 in N 12.383 * [backup-simplify]: Simplify 1/2 into 1/2 12.383 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 12.383 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.383 * [taylor]: Taking taylor expansion of N in N 12.383 * [backup-simplify]: Simplify 0 into 0 12.383 * [backup-simplify]: Simplify 1 into 1 12.383 * [backup-simplify]: Simplify (* 1 1) into 1 12.383 * [backup-simplify]: Simplify (/ 1 1) into 1 12.383 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 12.383 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 12.383 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.383 * [taylor]: Taking taylor expansion of N in N 12.383 * [backup-simplify]: Simplify 0 into 0 12.383 * [backup-simplify]: Simplify 1 into 1 12.384 * [backup-simplify]: Simplify (/ 1 1) into 1 12.384 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 12.384 * [taylor]: Taking taylor expansion of 1/3 in N 12.384 * [backup-simplify]: Simplify 1/3 into 1/3 12.384 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 12.384 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.384 * [taylor]: Taking taylor expansion of N in N 12.384 * [backup-simplify]: Simplify 0 into 0 12.384 * [backup-simplify]: Simplify 1 into 1 12.384 * [backup-simplify]: Simplify (* 1 1) into 1 12.384 * [backup-simplify]: Simplify (* 1 1) into 1 12.384 * [backup-simplify]: Simplify (/ 1 1) into 1 12.385 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 12.385 * [taylor]: Taking taylor expansion of 1/2 in N 12.385 * [backup-simplify]: Simplify 1/2 into 1/2 12.385 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 12.385 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.385 * [taylor]: Taking taylor expansion of N in N 12.385 * [backup-simplify]: Simplify 0 into 0 12.385 * [backup-simplify]: Simplify 1 into 1 12.385 * [backup-simplify]: Simplify (* 1 1) into 1 12.385 * [backup-simplify]: Simplify (/ 1 1) into 1 12.385 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 12.386 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.386 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 12.386 * [backup-simplify]: Simplify 1/3 into 1/3 12.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.388 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 12.388 * [backup-simplify]: Simplify (+ 0 0) into 0 12.388 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.388 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.389 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 12.389 * [backup-simplify]: Simplify -1/2 into -1/2 12.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.391 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 12.391 * [backup-simplify]: Simplify (+ 1 0) into 1 12.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.392 * [backup-simplify]: Simplify (- 0) into 0 12.393 * [backup-simplify]: Simplify (+ 1 0) into 1 12.393 * [backup-simplify]: Simplify 1 into 1 12.393 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 12.393 * [backup-simplify]: Simplify (+ (+ (/ 1 (/ 1 N)) (/ -1/2 (* (/ 1 N) (/ 1 N)))) (/ (/ 1/3 (* (/ 1 N) (/ 1 N))) (/ 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 12.393 * [approximate]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in (N) around 0 12.393 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 12.393 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 12.393 * [taylor]: Taking taylor expansion of N in N 12.393 * [backup-simplify]: Simplify 0 into 0 12.393 * [backup-simplify]: Simplify 1 into 1 12.393 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 12.393 * [taylor]: Taking taylor expansion of 1/3 in N 12.393 * [backup-simplify]: Simplify 1/3 into 1/3 12.393 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.393 * [taylor]: Taking taylor expansion of N in N 12.393 * [backup-simplify]: Simplify 0 into 0 12.393 * [backup-simplify]: Simplify 1 into 1 12.393 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 12.394 * [taylor]: Taking taylor expansion of 1/2 in N 12.394 * [backup-simplify]: Simplify 1/2 into 1/2 12.394 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.394 * [taylor]: Taking taylor expansion of N in N 12.394 * [backup-simplify]: Simplify 0 into 0 12.394 * [backup-simplify]: Simplify 1 into 1 12.394 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 12.394 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 12.394 * [taylor]: Taking taylor expansion of N in N 12.394 * [backup-simplify]: Simplify 0 into 0 12.394 * [backup-simplify]: Simplify 1 into 1 12.394 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 12.394 * [taylor]: Taking taylor expansion of 1/3 in N 12.394 * [backup-simplify]: Simplify 1/3 into 1/3 12.394 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.394 * [taylor]: Taking taylor expansion of N in N 12.394 * [backup-simplify]: Simplify 0 into 0 12.394 * [backup-simplify]: Simplify 1 into 1 12.394 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 12.394 * [taylor]: Taking taylor expansion of 1/2 in N 12.394 * [backup-simplify]: Simplify 1/2 into 1/2 12.394 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.394 * [taylor]: Taking taylor expansion of N in N 12.394 * [backup-simplify]: Simplify 0 into 0 12.394 * [backup-simplify]: Simplify 1 into 1 12.395 * [backup-simplify]: Simplify (+ 0 0) into 0 12.395 * [backup-simplify]: Simplify (+ 0 0) into 0 12.395 * [backup-simplify]: Simplify 0 into 0 12.395 * [backup-simplify]: Simplify (+ 1 0) into 1 12.396 * [backup-simplify]: Simplify (+ 1 0) into 1 12.396 * [backup-simplify]: Simplify 1 into 1 12.396 * [backup-simplify]: Simplify (+ 0 0) into 0 12.397 * [backup-simplify]: Simplify (* 1 1) into 1 12.397 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.398 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.398 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 12.398 * [backup-simplify]: Simplify -1/2 into -1/2 12.399 * [backup-simplify]: Simplify (* 1 1) into 1 12.399 * [backup-simplify]: Simplify (* 1 1) into 1 12.399 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 12.400 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.401 * [backup-simplify]: Simplify (- 0) into 0 12.402 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 12.402 * [backup-simplify]: Simplify 1/3 into 1/3 12.402 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 12.403 * [backup-simplify]: Simplify (+ (+ (/ 1 (/ 1 (- N))) (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N))))) (/ (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (- N)))) into (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) 12.403 * [approximate]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in (N) around 0 12.403 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 12.403 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 12.403 * [taylor]: Taking taylor expansion of N in N 12.403 * [backup-simplify]: Simplify 0 into 0 12.403 * [backup-simplify]: Simplify 1 into 1 12.403 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 12.403 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 12.403 * [taylor]: Taking taylor expansion of 1/2 in N 12.403 * [backup-simplify]: Simplify 1/2 into 1/2 12.403 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.403 * [taylor]: Taking taylor expansion of N in N 12.403 * [backup-simplify]: Simplify 0 into 0 12.403 * [backup-simplify]: Simplify 1 into 1 12.403 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 12.403 * [taylor]: Taking taylor expansion of 1/3 in N 12.403 * [backup-simplify]: Simplify 1/3 into 1/3 12.403 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.403 * [taylor]: Taking taylor expansion of N in N 12.403 * [backup-simplify]: Simplify 0 into 0 12.403 * [backup-simplify]: Simplify 1 into 1 12.404 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 12.404 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 12.404 * [taylor]: Taking taylor expansion of N in N 12.404 * [backup-simplify]: Simplify 0 into 0 12.404 * [backup-simplify]: Simplify 1 into 1 12.404 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 12.404 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 12.404 * [taylor]: Taking taylor expansion of 1/2 in N 12.404 * [backup-simplify]: Simplify 1/2 into 1/2 12.404 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.404 * [taylor]: Taking taylor expansion of N in N 12.404 * [backup-simplify]: Simplify 0 into 0 12.404 * [backup-simplify]: Simplify 1 into 1 12.404 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 12.404 * [taylor]: Taking taylor expansion of 1/3 in N 12.404 * [backup-simplify]: Simplify 1/3 into 1/3 12.404 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.404 * [taylor]: Taking taylor expansion of N in N 12.404 * [backup-simplify]: Simplify 0 into 0 12.404 * [backup-simplify]: Simplify 1 into 1 12.404 * [backup-simplify]: Simplify (+ 0 0) into 0 12.405 * [backup-simplify]: Simplify (- 0) into 0 12.405 * [backup-simplify]: Simplify 0 into 0 12.405 * [backup-simplify]: Simplify (+ 1 0) into 1 12.406 * [backup-simplify]: Simplify (- 1) into -1 12.406 * [backup-simplify]: Simplify -1 into -1 12.406 * [backup-simplify]: Simplify (* 1 1) into 1 12.406 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.407 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.407 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 12.408 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.408 * [backup-simplify]: Simplify -1/2 into -1/2 12.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.415 * [backup-simplify]: Simplify (* 1 1) into 1 12.415 * [backup-simplify]: Simplify (* 1 1) into 1 12.415 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 12.416 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.416 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.417 * [backup-simplify]: Simplify (- 1/3) into -1/3 12.417 * [backup-simplify]: Simplify -1/3 into -1/3 12.417 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 12.417 * * * * [progress]: [ 3 / 4 ] generating series at (2) 12.418 * [backup-simplify]: Simplify (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 12.418 * [approximate]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 12.418 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 12.418 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 12.418 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.418 * [taylor]: Taking taylor expansion of N in N 12.418 * [backup-simplify]: Simplify 0 into 0 12.418 * [backup-simplify]: Simplify 1 into 1 12.419 * [backup-simplify]: Simplify (/ 1 1) into 1 12.419 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 12.419 * [taylor]: Taking taylor expansion of 1/3 in N 12.419 * [backup-simplify]: Simplify 1/3 into 1/3 12.419 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 12.419 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.419 * [taylor]: Taking taylor expansion of N in N 12.419 * [backup-simplify]: Simplify 0 into 0 12.419 * [backup-simplify]: Simplify 1 into 1 12.419 * [backup-simplify]: Simplify (* 1 1) into 1 12.419 * [backup-simplify]: Simplify (* 1 1) into 1 12.420 * [backup-simplify]: Simplify (/ 1 1) into 1 12.420 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 12.420 * [taylor]: Taking taylor expansion of 1/2 in N 12.420 * [backup-simplify]: Simplify 1/2 into 1/2 12.420 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 12.420 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.420 * [taylor]: Taking taylor expansion of N in N 12.420 * [backup-simplify]: Simplify 0 into 0 12.420 * [backup-simplify]: Simplify 1 into 1 12.420 * [backup-simplify]: Simplify (* 1 1) into 1 12.421 * [backup-simplify]: Simplify (/ 1 1) into 1 12.421 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 12.421 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 12.421 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.421 * [taylor]: Taking taylor expansion of N in N 12.421 * [backup-simplify]: Simplify 0 into 0 12.421 * [backup-simplify]: Simplify 1 into 1 12.421 * [backup-simplify]: Simplify (/ 1 1) into 1 12.421 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 12.421 * [taylor]: Taking taylor expansion of 1/3 in N 12.421 * [backup-simplify]: Simplify 1/3 into 1/3 12.422 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 12.422 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.422 * [taylor]: Taking taylor expansion of N in N 12.422 * [backup-simplify]: Simplify 0 into 0 12.422 * [backup-simplify]: Simplify 1 into 1 12.422 * [backup-simplify]: Simplify (* 1 1) into 1 12.422 * [backup-simplify]: Simplify (* 1 1) into 1 12.423 * [backup-simplify]: Simplify (/ 1 1) into 1 12.423 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 12.423 * [taylor]: Taking taylor expansion of 1/2 in N 12.423 * [backup-simplify]: Simplify 1/2 into 1/2 12.423 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 12.423 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.423 * [taylor]: Taking taylor expansion of N in N 12.423 * [backup-simplify]: Simplify 0 into 0 12.423 * [backup-simplify]: Simplify 1 into 1 12.423 * [backup-simplify]: Simplify (* 1 1) into 1 12.424 * [backup-simplify]: Simplify (/ 1 1) into 1 12.424 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 12.425 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.425 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 12.425 * [backup-simplify]: Simplify 1/3 into 1/3 12.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.428 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 12.428 * [backup-simplify]: Simplify (+ 0 0) into 0 12.429 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.429 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.429 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 12.430 * [backup-simplify]: Simplify -1/2 into -1/2 12.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.433 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 12.434 * [backup-simplify]: Simplify (+ 1 0) into 1 12.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.436 * [backup-simplify]: Simplify (- 0) into 0 12.436 * [backup-simplify]: Simplify (+ 1 0) into 1 12.436 * [backup-simplify]: Simplify 1 into 1 12.437 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 12.437 * [backup-simplify]: Simplify (exp (log (+ (+ (/ 1 (/ 1 N)) (/ -1/2 (* (/ 1 N) (/ 1 N)))) (/ (/ 1/3 (* (/ 1 N) (/ 1 N))) (/ 1 N))))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 12.437 * [approximate]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in (N) around 0 12.437 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 12.437 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 12.437 * [taylor]: Taking taylor expansion of N in N 12.437 * [backup-simplify]: Simplify 0 into 0 12.437 * [backup-simplify]: Simplify 1 into 1 12.438 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 12.438 * [taylor]: Taking taylor expansion of 1/3 in N 12.438 * [backup-simplify]: Simplify 1/3 into 1/3 12.438 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.438 * [taylor]: Taking taylor expansion of N in N 12.438 * [backup-simplify]: Simplify 0 into 0 12.438 * [backup-simplify]: Simplify 1 into 1 12.438 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 12.438 * [taylor]: Taking taylor expansion of 1/2 in N 12.438 * [backup-simplify]: Simplify 1/2 into 1/2 12.438 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.438 * [taylor]: Taking taylor expansion of N in N 12.438 * [backup-simplify]: Simplify 0 into 0 12.438 * [backup-simplify]: Simplify 1 into 1 12.438 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 12.438 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 12.438 * [taylor]: Taking taylor expansion of N in N 12.438 * [backup-simplify]: Simplify 0 into 0 12.438 * [backup-simplify]: Simplify 1 into 1 12.438 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 12.438 * [taylor]: Taking taylor expansion of 1/3 in N 12.438 * [backup-simplify]: Simplify 1/3 into 1/3 12.438 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.438 * [taylor]: Taking taylor expansion of N in N 12.438 * [backup-simplify]: Simplify 0 into 0 12.438 * [backup-simplify]: Simplify 1 into 1 12.438 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 12.438 * [taylor]: Taking taylor expansion of 1/2 in N 12.438 * [backup-simplify]: Simplify 1/2 into 1/2 12.438 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.438 * [taylor]: Taking taylor expansion of N in N 12.438 * [backup-simplify]: Simplify 0 into 0 12.438 * [backup-simplify]: Simplify 1 into 1 12.438 * [backup-simplify]: Simplify (+ 0 0) into 0 12.439 * [backup-simplify]: Simplify (+ 0 0) into 0 12.439 * [backup-simplify]: Simplify 0 into 0 12.439 * [backup-simplify]: Simplify (+ 1 0) into 1 12.439 * [backup-simplify]: Simplify (+ 1 0) into 1 12.439 * [backup-simplify]: Simplify 1 into 1 12.439 * [backup-simplify]: Simplify (+ 0 0) into 0 12.440 * [backup-simplify]: Simplify (* 1 1) into 1 12.440 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.440 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.440 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 12.440 * [backup-simplify]: Simplify -1/2 into -1/2 12.441 * [backup-simplify]: Simplify (* 1 1) into 1 12.441 * [backup-simplify]: Simplify (* 1 1) into 1 12.441 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 12.441 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.442 * [backup-simplify]: Simplify (- 0) into 0 12.443 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 12.443 * [backup-simplify]: Simplify 1/3 into 1/3 12.443 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 12.443 * [backup-simplify]: Simplify (exp (log (+ (+ (/ 1 (/ 1 (- N))) (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N))))) (/ (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (- N)))))) into (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) 12.443 * [approximate]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in (N) around 0 12.443 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 12.443 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 12.443 * [taylor]: Taking taylor expansion of N in N 12.443 * [backup-simplify]: Simplify 0 into 0 12.443 * [backup-simplify]: Simplify 1 into 1 12.443 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 12.443 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 12.443 * [taylor]: Taking taylor expansion of 1/2 in N 12.443 * [backup-simplify]: Simplify 1/2 into 1/2 12.443 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.443 * [taylor]: Taking taylor expansion of N in N 12.443 * [backup-simplify]: Simplify 0 into 0 12.443 * [backup-simplify]: Simplify 1 into 1 12.443 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 12.443 * [taylor]: Taking taylor expansion of 1/3 in N 12.443 * [backup-simplify]: Simplify 1/3 into 1/3 12.443 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.443 * [taylor]: Taking taylor expansion of N in N 12.444 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify 1 into 1 12.444 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 12.444 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 12.444 * [taylor]: Taking taylor expansion of N in N 12.444 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify 1 into 1 12.444 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 12.444 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 12.444 * [taylor]: Taking taylor expansion of 1/2 in N 12.444 * [backup-simplify]: Simplify 1/2 into 1/2 12.444 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.444 * [taylor]: Taking taylor expansion of N in N 12.444 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify 1 into 1 12.444 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 12.444 * [taylor]: Taking taylor expansion of 1/3 in N 12.444 * [backup-simplify]: Simplify 1/3 into 1/3 12.444 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.444 * [taylor]: Taking taylor expansion of N in N 12.444 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify 1 into 1 12.444 * [backup-simplify]: Simplify (+ 0 0) into 0 12.444 * [backup-simplify]: Simplify (- 0) into 0 12.444 * [backup-simplify]: Simplify 0 into 0 12.445 * [backup-simplify]: Simplify (+ 1 0) into 1 12.445 * [backup-simplify]: Simplify (- 1) into -1 12.445 * [backup-simplify]: Simplify -1 into -1 12.445 * [backup-simplify]: Simplify (* 1 1) into 1 12.445 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.446 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.446 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 12.446 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.446 * [backup-simplify]: Simplify -1/2 into -1/2 12.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.447 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.447 * [backup-simplify]: Simplify (* 1 1) into 1 12.448 * [backup-simplify]: Simplify (* 1 1) into 1 12.448 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 12.448 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.448 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 12.449 * [backup-simplify]: Simplify (- 1/3) into -1/3 12.449 * [backup-simplify]: Simplify -1/3 into -1/3 12.449 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 12.449 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 12.449 * [backup-simplify]: Simplify (/ 1/3 (* N N)) into (/ 1/3 (pow N 2)) 12.449 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 2)) in (N) around 0 12.449 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 12.449 * [taylor]: Taking taylor expansion of 1/3 in N 12.449 * [backup-simplify]: Simplify 1/3 into 1/3 12.449 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.449 * [taylor]: Taking taylor expansion of N in N 12.449 * [backup-simplify]: Simplify 0 into 0 12.449 * [backup-simplify]: Simplify 1 into 1 12.449 * [backup-simplify]: Simplify (* 1 1) into 1 12.450 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 12.450 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 12.450 * [taylor]: Taking taylor expansion of 1/3 in N 12.450 * [backup-simplify]: Simplify 1/3 into 1/3 12.450 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.450 * [taylor]: Taking taylor expansion of N in N 12.450 * [backup-simplify]: Simplify 0 into 0 12.450 * [backup-simplify]: Simplify 1 into 1 12.450 * [backup-simplify]: Simplify (* 1 1) into 1 12.450 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 12.450 * [backup-simplify]: Simplify 1/3 into 1/3 12.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 12.451 * [backup-simplify]: Simplify 0 into 0 12.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.453 * [backup-simplify]: Simplify 0 into 0 12.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.454 * [backup-simplify]: Simplify 0 into 0 12.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.455 * [backup-simplify]: Simplify 0 into 0 12.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.457 * [backup-simplify]: Simplify 0 into 0 12.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.458 * [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 12.459 * [backup-simplify]: Simplify 0 into 0 12.459 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) 12.459 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 N) (/ 1 N))) into (* 1/3 (pow N 2)) 12.459 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 2)) in (N) around 0 12.459 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 12.459 * [taylor]: Taking taylor expansion of 1/3 in N 12.459 * [backup-simplify]: Simplify 1/3 into 1/3 12.459 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.459 * [taylor]: Taking taylor expansion of N in N 12.459 * [backup-simplify]: Simplify 0 into 0 12.459 * [backup-simplify]: Simplify 1 into 1 12.459 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 12.459 * [taylor]: Taking taylor expansion of 1/3 in N 12.459 * [backup-simplify]: Simplify 1/3 into 1/3 12.459 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.459 * [taylor]: Taking taylor expansion of N in N 12.459 * [backup-simplify]: Simplify 0 into 0 12.459 * [backup-simplify]: Simplify 1 into 1 12.460 * [backup-simplify]: Simplify (* 1 1) into 1 12.460 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 12.460 * [backup-simplify]: Simplify 1/3 into 1/3 12.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.462 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 12.462 * [backup-simplify]: Simplify 0 into 0 12.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.463 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 12.464 * [backup-simplify]: Simplify 0 into 0 12.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.466 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.466 * [backup-simplify]: Simplify 0 into 0 12.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.468 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.468 * [backup-simplify]: Simplify 0 into 0 12.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.471 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.471 * [backup-simplify]: Simplify 0 into 0 12.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.474 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.474 * [backup-simplify]: Simplify 0 into 0 12.474 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) 12.474 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 1/3 (pow N 2)) 12.474 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 2)) in (N) around 0 12.474 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 12.474 * [taylor]: Taking taylor expansion of 1/3 in N 12.474 * [backup-simplify]: Simplify 1/3 into 1/3 12.474 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.474 * [taylor]: Taking taylor expansion of N in N 12.474 * [backup-simplify]: Simplify 0 into 0 12.474 * [backup-simplify]: Simplify 1 into 1 12.475 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 12.475 * [taylor]: Taking taylor expansion of 1/3 in N 12.475 * [backup-simplify]: Simplify 1/3 into 1/3 12.475 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.475 * [taylor]: Taking taylor expansion of N in N 12.475 * [backup-simplify]: Simplify 0 into 0 12.475 * [backup-simplify]: Simplify 1 into 1 12.475 * [backup-simplify]: Simplify (* 1 1) into 1 12.476 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 12.476 * [backup-simplify]: Simplify 1/3 into 1/3 12.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.477 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 12.477 * [backup-simplify]: Simplify 0 into 0 12.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.479 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 12.479 * [backup-simplify]: Simplify 0 into 0 12.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.481 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.481 * [backup-simplify]: Simplify 0 into 0 12.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.484 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.484 * [backup-simplify]: Simplify 0 into 0 12.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.487 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.487 * [backup-simplify]: Simplify 0 into 0 12.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.490 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.490 * [backup-simplify]: Simplify 0 into 0 12.490 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (- N)) 2)) into (/ 1/3 (pow N 2)) 12.490 * * * [progress]: simplifying candidates 12.490 * * * * [progress]: [ 1 / 99 ] simplifiying candidate # 12.491 * [simplify]: Simplifying (log (* (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))))) 12.491 * * [simplify]: iters left: 6 (14 enodes) 12.498 * * [simplify]: iters left: 5 (56 enodes) 12.513 * * [simplify]: iters left: 4 (78 enodes) 12.525 * * [simplify]: iters left: 3 (91 enodes) 12.543 * * [simplify]: iters left: 2 (105 enodes) 12.559 * * [simplify]: iters left: 1 (135 enodes) 12.580 * * [simplify]: Extracting #0: cost 1 inf + 0 12.580 * * [simplify]: Extracting #1: cost 4 inf + 0 12.580 * * [simplify]: Extracting #2: cost 7 inf + 0 12.580 * * [simplify]: Extracting #3: cost 9 inf + 0 12.580 * * [simplify]: Extracting #4: cost 16 inf + 0 12.580 * * [simplify]: Extracting #5: cost 31 inf + 0 12.580 * * [simplify]: Extracting #6: cost 37 inf + 46 12.581 * * [simplify]: Extracting #7: cost 35 inf + 991 12.582 * * [simplify]: Extracting #8: cost 17 inf + 5336 12.583 * * [simplify]: Extracting #9: cost 6 inf + 8795 12.584 * * [simplify]: Extracting #10: cost 0 inf + 10991 12.586 * [simplify]: Simplified to (log (* (cbrt (+ (+ (/ 1/3 (* N (* N N))) (/ 1 N)) (/ -1/2 (* N N)))) (cbrt (+ (+ (/ 1/3 (* N (* N N))) (/ 1 N)) (/ -1/2 (* N N)))))) 12.586 * [simplify]: Simplified (2 1 1) to (λ (N) (exp (+ (log (* (cbrt (+ (+ (/ 1/3 (* N (* N N))) (/ 1 N)) (/ -1/2 (* N N)))) (cbrt (+ (+ (/ 1/3 (* N (* N N))) (/ 1 N)) (/ -1/2 (* N N)))))) (log (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))))))) 12.586 * * * * [progress]: [ 2 / 99 ] simplifiying candidate # 12.586 * [simplify]: Simplifying (log (sqrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))) 12.586 * * [simplify]: iters left: 6 (13 enodes) 12.590 * * [simplify]: iters left: 5 (51 enodes) 12.598 * * [simplify]: iters left: 4 (71 enodes) 12.608 * * [simplify]: iters left: 3 (83 enodes) 12.631 * * [simplify]: iters left: 2 (97 enodes) 12.646 * * [simplify]: iters left: 1 (127 enodes) 12.667 * * [simplify]: Extracting #0: cost 1 inf + 0 12.667 * * [simplify]: Extracting #1: cost 3 inf + 0 12.667 * * [simplify]: Extracting #2: cost 5 inf + 0 12.667 * * [simplify]: Extracting #3: cost 12 inf + 0 12.667 * * [simplify]: Extracting #4: cost 27 inf + 0 12.667 * * [simplify]: Extracting #5: cost 34 inf + 4 12.667 * * [simplify]: Extracting #6: cost 31 inf + 910 12.668 * * [simplify]: Extracting #7: cost 18 inf + 3458 12.669 * * [simplify]: Extracting #8: cost 2 inf + 8400 12.670 * * [simplify]: Extracting #9: cost 0 inf + 9075 12.671 * [simplify]: Simplified to (log (sqrt (+ (+ (/ 1/3 (* N (* N N))) (/ 1 N)) (/ -1/2 (* N N))))) 12.671 * [simplify]: Simplified (2 1 1) to (λ (N) (exp (+ (log (sqrt (+ (+ (/ 1/3 (* N (* N N))) (/ 1 N)) (/ -1/2 (* N N))))) (log (sqrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))))))) 12.671 * * * * [progress]: [ 3 / 99 ] simplifiying candidate # 12.672 * [simplify]: Simplifying (log 1) 12.672 * * [simplify]: iters left: 1 (2 enodes) 12.673 * * [simplify]: Extracting #0: cost 1 inf + 0 12.673 * * [simplify]: Extracting #1: cost 0 inf + 1 12.673 * [simplify]: Simplified to 0 12.673 * [simplify]: Simplified (2 1 1) to (λ (N) (exp (+ 0 (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))))) 12.673 * * * * [progress]: [ 4 / 99 ] simplifiying candidate # 12.673 * [simplify]: Simplifying (log 1) 12.673 * * [simplify]: iters left: 1 (2 enodes) 12.675 * * [simplify]: Extracting #0: cost 1 inf + 0 12.675 * * [simplify]: Extracting #1: cost 0 inf + 1 12.675 * [simplify]: Simplified to 0 12.675 * [simplify]: Simplified (2 1 1) to (λ (N) (exp (+ 0 (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))))) 12.675 * * * * [progress]: [ 5 / 99 ] simplifiying candidate # 12.675 * [simplify]: Simplifying (log 1) 12.675 * * [simplify]: iters left: 1 (2 enodes) 12.676 * * [simplify]: Extracting #0: cost 1 inf + 0 12.676 * * [simplify]: Extracting #1: cost 0 inf + 1 12.676 * [simplify]: Simplified to 0 12.676 * [simplify]: Simplified (2 1 1) to (λ (N) (exp (+ 0 (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))))) 12.676 * * * * [progress]: [ 6 / 99 ] simplifiying candidate # 12.677 * [simplify]: Simplifying (log 1) 12.677 * * [simplify]: iters left: 1 (2 enodes) 12.678 * * [simplify]: Extracting #0: cost 1 inf + 0 12.678 * * [simplify]: Extracting #1: cost 0 inf + 1 12.678 * [simplify]: Simplified to 0 12.678 * [simplify]: Simplified (2 1 1) to (λ (N) (exp (+ 0 (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))))) 12.678 * * * * [progress]: [ 7 / 99 ] simplifiying candidate # 12.678 * [simplify]: Simplifying (log (+ (* (+ (* 1 (* N N)) (* N -1/2)) N) (* (* N (* N N)) (/ 1/3 (* N N))))) 12.678 * * [simplify]: iters left: 6 (14 enodes) 12.683 * * [simplify]: iters left: 5 (59 enodes) 12.694 * * [simplify]: iters left: 4 (126 enodes) 12.740 * * [simplify]: iters left: 3 (320 enodes) 12.943 * * [simplify]: Extracting #0: cost 1 inf + 0 12.943 * * [simplify]: Extracting #1: cost 5 inf + 0 12.943 * * [simplify]: Extracting #2: cost 25 inf + 0 12.944 * * [simplify]: Extracting #3: cost 123 inf + 72 12.945 * * [simplify]: Extracting #4: cost 182 inf + 962 12.949 * * [simplify]: Extracting #5: cost 116 inf + 8995 12.958 * * [simplify]: Extracting #6: cost 13 inf + 28673 12.969 * * [simplify]: Extracting #7: cost 0 inf + 32053 12.980 * * [simplify]: Extracting #8: cost 0 inf + 31682 12.985 * [simplify]: Simplified to (log (* (+ (* (+ N -1/2) N) 1/3) N)) 12.985 * [simplify]: Simplified (2 1 1) to (λ (N) (exp (- (log (* (+ (* (+ N -1/2) N) 1/3) N)) (log (* (* N (* N N)) N))))) 12.986 * * * * [progress]: [ 8 / 99 ] simplifiying candidate # 12.986 * [simplify]: Simplifying (log (+ (* (+ (pow (/ 1 N) 3) (pow (/ -1/2 (* N N)) 3)) N) (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) (/ 1/3 (* N N))))) 12.986 * * [simplify]: iters left: 6 (21 enodes) 12.993 * * [simplify]: iters left: 5 (113 enodes) 13.027 * * [simplify]: iters left: 4 (289 enodes) 13.159 * * [simplify]: Extracting #0: cost 1 inf + 0 13.159 * * [simplify]: Extracting #1: cost 3 inf + 0 13.159 * * [simplify]: Extracting #2: cost 18 inf + 0 13.160 * * [simplify]: Extracting #3: cost 103 inf + 0 13.160 * * [simplify]: Extracting #4: cost 214 inf + 2 13.163 * * [simplify]: Extracting #5: cost 234 inf + 2380 13.173 * * [simplify]: Extracting #6: cost 95 inf + 31061 13.188 * * [simplify]: Extracting #7: cost 8 inf + 53613 13.200 * * [simplify]: Extracting #8: cost 0 inf + 55910 13.212 * * [simplify]: Extracting #9: cost 0 inf + 55830 13.223 * [simplify]: Simplified to (log (+ (* (+ (/ (/ 1 N) N) (* (- (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ -1/2 N) N))) (/ (/ 1/3 N) N)) (* N (+ (/ (/ -1/8 (* N N)) (* (* N N) (* N N))) (/ (/ 1 N) (* N N)))))) 13.223 * [simplify]: Simplified (2 1 1) to (λ (N) (exp (- (log (+ (* (+ (/ (/ 1 N) N) (* (- (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ -1/2 N) N))) (/ (/ 1/3 N) N)) (* N (+ (/ (/ -1/8 (* N N)) (* (* N N) (* N N))) (/ (/ 1 N) (* N N)))))) (log (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) N))))) 13.224 * * * * [progress]: [ 9 / 99 ] simplifiying candidate # 13.224 * [simplify]: Simplifying (log (+ (* (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) N) (* (- (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N N))))) 13.224 * * [simplify]: iters left: 6 (16 enodes) 13.229 * * [simplify]: iters left: 5 (73 enodes) 13.251 * * [simplify]: iters left: 4 (164 enodes) 13.325 * * [simplify]: iters left: 3 (459 enodes) 13.561 * * [simplify]: Extracting #0: cost 1 inf + 0 13.561 * * [simplify]: Extracting #1: cost 5 inf + 0 13.561 * * [simplify]: Extracting #2: cost 33 inf + 0 13.562 * * [simplify]: Extracting #3: cost 263 inf + 0 13.565 * * [simplify]: Extracting #4: cost 401 inf + 292 13.573 * * [simplify]: Extracting #5: cost 327 inf + 21160 13.606 * * [simplify]: Extracting #6: cost 59 inf + 69950 13.643 * * [simplify]: Extracting #7: cost 0 inf + 82462 13.682 * * [simplify]: Extracting #8: cost 0 inf + 82178 13.715 * [simplify]: Simplified to (log (* (+ (/ 1 N) (/ 1/2 (* N N))) (+ (+ (/ 1/3 (* N N)) 1) (/ (* N -1/2) (* N N))))) 13.715 * [simplify]: Simplified (2 1 1) to (λ (N) (exp (- (log (* (+ (/ 1 N) (/ 1/2 (* N N))) (+ (+ (/ 1/3 (* N N)) 1) (/ (* N -1/2) (* N N))))) (log (* (- (/ 1 N) (/ -1/2 (* N N))) N))))) 13.715 * * * * [progress]: [ 10 / 99 ] simplifiying candidate # 13.715 * [simplify]: Simplifying (log (+ (pow (+ (/ 1 N) (/ -1/2 (* N N))) 3) (pow (/ (/ 1/3 (* N N)) N) 3))) 13.715 * * [simplify]: iters left: 6 (15 enodes) 13.722 * * [simplify]: iters left: 5 (71 enodes) 13.736 * * [simplify]: iters left: 4 (157 enodes) 13.789 * * [simplify]: Extracting #0: cost 1 inf + 0 13.789 * * [simplify]: Extracting #1: cost 3 inf + 0 13.789 * * [simplify]: Extracting #2: cost 12 inf + 0 13.789 * * [simplify]: Extracting #3: cost 87 inf + 0 13.790 * * [simplify]: Extracting #4: cost 162 inf + 46 13.791 * * [simplify]: Extracting #5: cost 103 inf + 10988 13.797 * * [simplify]: Extracting #6: cost 12 inf + 34278 13.806 * * [simplify]: Extracting #7: cost 0 inf + 37694 13.813 * * [simplify]: Extracting #8: cost 0 inf + 37655 13.820 * [simplify]: Simplified to (log (+ (* (/ (/ (/ 1/3 N) N) N) (* (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N))) (* (* (+ (/ (/ -1/2 N) N) (/ 1 N)) (+ (/ (/ -1/2 N) N) (/ 1 N))) (+ (/ (/ -1/2 N) N) (/ 1 N))))) 13.820 * [simplify]: Simplified (2 1 1) to (λ (N) (exp (- (log (+ (* (/ (/ (/ 1/3 N) N) N) (* (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N))) (* (* (+ (/ (/ -1/2 N) N) (/ 1 N)) (+ (/ (/ -1/2 N) N) (/ 1 N))) (+ (/ (/ -1/2 N) N) (/ 1 N))))) (log (+ (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (- (* (/ (/ 1/3 (* N N)) N) (/ (/ 1/3 (* N N)) N)) (* (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))))))) 13.821 * * * * [progress]: [ 11 / 99 ] simplifiying candidate # 13.821 * [simplify]: Simplifying (log (- (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (* (/ (/ 1/3 (* N N)) N) (/ (/ 1/3 (* N N)) N)))) 13.821 * * [simplify]: iters left: 6 (14 enodes) 13.828 * * [simplify]: iters left: 5 (66 enodes) 13.846 * * [simplify]: iters left: 4 (170 enodes) 13.896 * * [simplify]: Extracting #0: cost 1 inf + 0 13.896 * * [simplify]: Extracting #1: cost 5 inf + 0 13.896 * * [simplify]: Extracting #2: cost 52 inf + 0 13.897 * * [simplify]: Extracting #3: cost 130 inf + 0 13.898 * * [simplify]: Extracting #4: cost 161 inf + 1192 13.908 * * [simplify]: Extracting #5: cost 54 inf + 21469 13.922 * * [simplify]: Extracting #6: cost 2 inf + 35351 13.937 * * [simplify]: Extracting #7: cost 0 inf + 36159 13.949 * [simplify]: Simplified to (log (- (* (+ (/ -1/2 (* N N)) (/ 1 N)) (+ (/ -1/2 (* N N)) (/ 1 N))) (* (/ (/ 1/3 (* N N)) N) (/ (/ 1/3 (* N N)) N)))) 13.949 * [simplify]: Simplified (2 1 1) to (λ (N) (exp (- (log (- (* (+ (/ -1/2 (* N N)) (/ 1 N)) (+ (/ -1/2 (* N N)) (/ 1 N))) (* (/ (/ 1/3 (* N N)) N) (/ (/ 1/3 (* N N)) N)))) (log (- (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))))) 13.950 * * * * [progress]: [ 12 / 99 ] simplifiying candidate # 13.950 * * * * [progress]: [ 13 / 99 ] simplifiying candidate # 13.950 * * * * [progress]: [ 14 / 99 ] simplifiying candidate # 13.950 * [simplify]: Simplifying (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 13.950 * * [simplify]: iters left: 6 (11 enodes) 13.953 * * [simplify]: iters left: 5 (45 enodes) 13.960 * * [simplify]: iters left: 4 (65 enodes) 13.970 * * [simplify]: iters left: 3 (77 enodes) 13.982 * * [simplify]: iters left: 2 (91 enodes) 13.997 * * [simplify]: iters left: 1 (121 enodes) 14.020 * * [simplify]: Extracting #0: cost 1 inf + 0 14.020 * * [simplify]: Extracting #1: cost 8 inf + 0 14.020 * * [simplify]: Extracting #2: cost 23 inf + 0 14.020 * * [simplify]: Extracting #3: cost 29 inf + 46 14.020 * * [simplify]: Extracting #4: cost 31 inf + 785 14.021 * * [simplify]: Extracting #5: cost 12 inf + 3789 14.022 * * [simplify]: Extracting #6: cost 5 inf + 5775 14.023 * * [simplify]: Extracting #7: cost 0 inf + 7799 14.024 * [simplify]: Simplified to (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 (* N N)) N)) 14.024 * [simplify]: Simplified (2 1 1) to (λ (N) (exp (log (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 (* N N)) N))))) 14.024 * * * * [progress]: [ 15 / 99 ] simplifiying candidate # 14.024 * * * * [progress]: [ 16 / 99 ] simplifiying candidate # 14.024 * * * * [progress]: [ 17 / 99 ] simplifiying candidate # 14.024 * * * * [progress]: [ 18 / 99 ] simplifiying candidate # 14.024 * * * * [progress]: [ 19 / 99 ] simplifiying candidate # 14.024 * * * * [progress]: [ 20 / 99 ] simplifiying candidate # 14.024 * * * * [progress]: [ 21 / 99 ] simplifiying candidate #real (real->posit16 (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))))))> 14.024 * * * * [progress]: [ 22 / 99 ] simplifiying candidate # 14.024 * [simplify]: Simplifying (* (* (exp (/ 1 N)) (exp (/ -1/2 (* N N)))) (exp (/ (/ 1/3 (* N N)) N))) 14.025 * * [simplify]: iters left: 6 (14 enodes) 14.031 * * [simplify]: iters left: 5 (56 enodes) 14.050 * * [simplify]: iters left: 4 (86 enodes) 14.069 * * [simplify]: iters left: 3 (117 enodes) 14.086 * * [simplify]: iters left: 2 (139 enodes) 14.118 * * [simplify]: iters left: 1 (169 enodes) 14.165 * * [simplify]: Extracting #0: cost 1 inf + 0 14.165 * * [simplify]: Extracting #1: cost 9 inf + 0 14.165 * * [simplify]: Extracting #2: cost 22 inf + 0 14.165 * * [simplify]: Extracting #3: cost 37 inf + 0 14.166 * * [simplify]: Extracting #4: cost 41 inf + 168 14.167 * * [simplify]: Extracting #5: cost 30 inf + 3160 14.170 * * [simplify]: Extracting #6: cost 9 inf + 7794 14.173 * * [simplify]: Extracting #7: cost 2 inf + 9891 14.176 * * [simplify]: Extracting #8: cost 0 inf + 10817 14.179 * [simplify]: Simplified to (exp (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 (* N N)) N)))) 14.179 * [simplify]: Simplified (2 1 1 1) to (λ (N) (exp (log (log (exp (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 (* N N)) N)))))))) 14.180 * * * * [progress]: [ 23 / 99 ] simplifiying candidate # 14.180 * [simplify]: Simplifying (* (exp (+ (/ 1 N) (/ -1/2 (* N N)))) (exp (/ (/ 1/3 (* N N)) N))) 14.180 * * [simplify]: iters left: 6 (13 enodes) 14.187 * * [simplify]: iters left: 5 (54 enodes) 14.204 * * [simplify]: iters left: 4 (83 enodes) 14.229 * * [simplify]: iters left: 3 (110 enodes) 14.265 * * [simplify]: iters left: 2 (135 enodes) 14.304 * * [simplify]: iters left: 1 (165 enodes) 14.348 * * [simplify]: Extracting #0: cost 1 inf + 0 14.348 * * [simplify]: Extracting #1: cost 9 inf + 0 14.348 * * [simplify]: Extracting #2: cost 22 inf + 0 14.348 * * [simplify]: Extracting #3: cost 37 inf + 0 14.349 * * [simplify]: Extracting #4: cost 42 inf + 128 14.349 * * [simplify]: Extracting #5: cost 37 inf + 1601 14.351 * * [simplify]: Extracting #6: cost 15 inf + 6657 14.354 * * [simplify]: Extracting #7: cost 3 inf + 10069 14.357 * * [simplify]: Extracting #8: cost 0 inf + 11137 14.360 * [simplify]: Simplified to (exp (+ (/ 1/3 (* N (* N N))) (+ (/ (/ -1/2 N) N) (/ 1 N)))) 14.361 * [simplify]: Simplified (2 1 1 1) to (λ (N) (exp (log (log (exp (+ (/ 1/3 (* N (* N N))) (+ (/ (/ -1/2 N) N) (/ 1 N)))))))) 14.361 * * * * [progress]: [ 24 / 99 ] simplifiying candidate # 14.361 * * * * [progress]: [ 25 / 99 ] simplifiying candidate # 14.361 * * * * [progress]: [ 26 / 99 ] simplifiying candidate # 14.361 * * * * [progress]: [ 27 / 99 ] simplifiying candidate # 14.361 * * * * [progress]: [ 28 / 99 ] simplifiying candidate # 14.361 * * * * [progress]: [ 29 / 99 ] simplifiying candidate # 14.361 * * * * [progress]: [ 30 / 99 ] simplifiying candidate # 14.361 * [simplify]: Simplifying (+ (* (+ (* 1 (* N N)) (* N -1/2)) N) (* (* N (* N N)) (/ 1/3 (* N N)))) 14.362 * * [simplify]: iters left: 6 (13 enodes) 14.369 * * [simplify]: iters left: 5 (56 enodes) 14.389 * * [simplify]: iters left: 4 (123 enodes) 14.421 * * [simplify]: iters left: 3 (314 enodes) 14.625 * * [simplify]: Extracting #0: cost 1 inf + 0 14.626 * * [simplify]: Extracting #1: cost 17 inf + 0 14.626 * * [simplify]: Extracting #2: cost 113 inf + 42 14.628 * * [simplify]: Extracting #3: cost 165 inf + 1357 14.634 * * [simplify]: Extracting #4: cost 70 inf + 12771 14.643 * * [simplify]: Extracting #5: cost 7 inf + 28454 14.653 * * [simplify]: Extracting #6: cost 0 inf + 31167 14.667 * [simplify]: Simplified to (* (+ (* N (+ N -1/2)) 1/3) N) 14.667 * [simplify]: Simplified (2 1 1 1) to (λ (N) (exp (log (/ (* (+ (* N (+ N -1/2)) 1/3) N) (* (* N (* N N)) N))))) 14.668 * [simplify]: Simplifying (* (* N (* N N)) N) 14.668 * * [simplify]: iters left: 6 (4 enodes) 14.670 * * [simplify]: iters left: 5 (16 enodes) 14.677 * * [simplify]: iters left: 4 (28 enodes) 14.688 * * [simplify]: iters left: 3 (48 enodes) 14.707 * * [simplify]: iters left: 2 (80 enodes) 14.734 * * [simplify]: iters left: 1 (128 enodes) 14.773 * * [simplify]: Extracting #0: cost 1 inf + 0 14.773 * * [simplify]: Extracting #1: cost 6 inf + 0 14.773 * * [simplify]: Extracting #2: cost 15 inf + 2 14.773 * * [simplify]: Extracting #3: cost 32 inf + 206 14.773 * * [simplify]: Extracting #4: cost 27 inf + 836 14.773 * * [simplify]: Extracting #5: cost 20 inf + 3416 14.774 * * [simplify]: Extracting #6: cost 5 inf + 9950 14.775 * * [simplify]: Extracting #7: cost 0 inf + 12225 14.776 * [simplify]: Simplified to (* (* N N) (* N N)) 14.776 * [simplify]: Simplified (2 1 1 2) to (λ (N) (exp (log (/ (* (+ (* N (+ N -1/2)) 1/3) N) (* (* N N) (* N N)))))) 14.776 * * * * [progress]: [ 31 / 99 ] simplifiying candidate # 14.776 * [simplify]: Simplifying (+ (* (+ (pow (/ 1 N) 3) (pow (/ -1/2 (* N N)) 3)) N) (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) (/ 1/3 (* N N)))) 14.776 * * [simplify]: iters left: 6 (20 enodes) 14.783 * * [simplify]: iters left: 5 (110 enodes) 14.823 * * [simplify]: iters left: 4 (286 enodes) 14.964 * * [simplify]: Extracting #0: cost 1 inf + 0 14.964 * * [simplify]: Extracting #1: cost 16 inf + 0 14.964 * * [simplify]: Extracting #2: cost 101 inf + 0 14.965 * * [simplify]: Extracting #3: cost 208 inf + 206 14.968 * * [simplify]: Extracting #4: cost 212 inf + 4738 14.979 * * [simplify]: Extracting #5: cost 86 inf + 29895 15.004 * * [simplify]: Extracting #6: cost 7 inf + 50960 15.025 * * [simplify]: Extracting #7: cost 0 inf + 52064 15.047 * * [simplify]: Extracting #8: cost 0 inf + 51984 15.068 * [simplify]: Simplified to (+ (/ (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (- (/ -1/2 (* N N)) (/ 1 N)))) (/ (* N N) 1/3)) (* N (+ (/ (/ -1/8 (* N (* N N))) (* N (* N N))) (/ 1 (* N (* N N)))))) 15.068 * [simplify]: Simplified (2 1 1 1) to (λ (N) (exp (log (/ (+ (/ (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (- (/ -1/2 (* N N)) (/ 1 N)))) (/ (* N N) 1/3)) (* N (+ (/ (/ -1/8 (* N (* N N))) (* N (* N N))) (/ 1 (* N (* N N)))))) (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) N))))) 15.069 * [simplify]: Simplifying (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) N) 15.069 * * [simplify]: iters left: 6 (12 enodes) 15.076 * * [simplify]: iters left: 5 (61 enodes) 15.102 * * [simplify]: iters left: 4 (152 enodes) 15.178 * * [simplify]: iters left: 3 (371 enodes) 15.352 * * [simplify]: Extracting #0: cost 1 inf + 0 15.352 * * [simplify]: Extracting #1: cost 10 inf + 0 15.353 * * [simplify]: Extracting #2: cost 80 inf + 1 15.353 * * [simplify]: Extracting #3: cost 217 inf + 534 15.356 * * [simplify]: Extracting #4: cost 169 inf + 10099 15.369 * * [simplify]: Extracting #5: cost 25 inf + 28704 15.387 * * [simplify]: Extracting #6: cost 3 inf + 32935 15.406 * * [simplify]: Extracting #7: cost 0 inf + 33625 15.424 * [simplify]: Simplified to (* (+ (/ 1 (* N N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (/ (/ -1/2 (* N N)) N))) N) 15.424 * [simplify]: Simplified (2 1 1 2) to (λ (N) (exp (log (/ (+ (/ (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (- (/ -1/2 (* N N)) (/ 1 N)))) (/ (* N N) 1/3)) (* N (+ (/ (/ -1/8 (* N (* N N))) (* N (* N N))) (/ 1 (* N (* N N)))))) (* (+ (/ 1 (* N N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (/ (/ -1/2 (* N N)) N))) N))))) 15.425 * * * * [progress]: [ 32 / 99 ] simplifiying candidate # 15.425 * [simplify]: Simplifying (+ (* (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) N) (* (- (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N N)))) 15.425 * * [simplify]: iters left: 6 (15 enodes) 15.439 * * [simplify]: iters left: 5 (70 enodes) 15.466 * * [simplify]: iters left: 4 (161 enodes) 15.507 * * [simplify]: iters left: 3 (453 enodes) 15.707 * * [simplify]: Extracting #0: cost 1 inf + 0 15.707 * * [simplify]: Extracting #1: cost 30 inf + 0 15.708 * * [simplify]: Extracting #2: cost 264 inf + 0 15.716 * * [simplify]: Extracting #3: cost 403 inf + 455 15.727 * * [simplify]: Extracting #4: cost 327 inf + 23136 15.756 * * [simplify]: Extracting #5: cost 57 inf + 69645 15.793 * * [simplify]: Extracting #6: cost 3 inf + 80946 15.833 * * [simplify]: Extracting #7: cost 0 inf + 81315 15.873 * [simplify]: Simplified to (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) 15.873 * [simplify]: Simplified (2 1 1 1) to (λ (N) (exp (log (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))))) 15.874 * [simplify]: Simplifying (* (- (/ 1 N) (/ -1/2 (* N N))) N) 15.874 * * [simplify]: iters left: 6 (8 enodes) 15.879 * * [simplify]: iters left: 5 (31 enodes) 15.889 * * [simplify]: iters left: 4 (49 enodes) 15.904 * * [simplify]: iters left: 3 (67 enodes) 15.923 * * [simplify]: iters left: 2 (100 enodes) 15.941 * * [simplify]: iters left: 1 (143 enodes) 15.984 * * [simplify]: Extracting #0: cost 1 inf + 0 15.984 * * [simplify]: Extracting #1: cost 7 inf + 0 15.984 * * [simplify]: Extracting #2: cost 43 inf + 2 15.985 * * [simplify]: Extracting #3: cost 39 inf + 1318 15.987 * * [simplify]: Extracting #4: cost 5 inf + 4112 15.989 * * [simplify]: Extracting #5: cost 0 inf + 4484 15.991 * [simplify]: Simplified to (+ (/ 1/2 N) 1) 15.992 * [simplify]: Simplified (2 1 1 2) to (λ (N) (exp (log (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (+ (/ 1/2 N) 1))))) 15.992 * * * * [progress]: [ 33 / 99 ] simplifiying candidate # 15.992 * * * * [progress]: [ 34 / 99 ] simplifiying candidate # 15.992 * * * * [progress]: [ 35 / 99 ] simplifiying candidate # 15.992 * * * * [progress]: [ 36 / 99 ] simplifiying candidate # 15.992 * [simplify]: Simplifying (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 15.992 * * [simplify]: iters left: 6 (11 enodes) 15.999 * * [simplify]: iters left: 5 (45 enodes) 16.013 * * [simplify]: iters left: 4 (65 enodes) 16.034 * * [simplify]: iters left: 3 (77 enodes) 16.058 * * [simplify]: iters left: 2 (91 enodes) 16.073 * * [simplify]: iters left: 1 (121 enodes) 16.099 * * [simplify]: Extracting #0: cost 1 inf + 0 16.099 * * [simplify]: Extracting #1: cost 8 inf + 0 16.100 * * [simplify]: Extracting #2: cost 23 inf + 0 16.100 * * [simplify]: Extracting #3: cost 29 inf + 46 16.100 * * [simplify]: Extracting #4: cost 31 inf + 785 16.101 * * [simplify]: Extracting #5: cost 12 inf + 3789 16.103 * * [simplify]: Extracting #6: cost 5 inf + 5775 16.105 * * [simplify]: Extracting #7: cost 0 inf + 7799 16.107 * [simplify]: Simplified to (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 (* N N)) N)) 16.107 * [simplify]: Simplified (2 1 1 2) to (λ (N) (exp (log (* 1 (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 (* N N)) N)))))) 16.107 * * * * [progress]: [ 37 / 99 ] simplifiying candidate # 16.107 * [simplify]: Simplifying (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 16.108 * * [simplify]: iters left: 6 (11 enodes) 16.114 * * [simplify]: iters left: 5 (45 enodes) 16.129 * * [simplify]: iters left: 4 (65 enodes) 16.150 * * [simplify]: iters left: 3 (77 enodes) 16.174 * * [simplify]: iters left: 2 (91 enodes) 16.202 * * [simplify]: iters left: 1 (121 enodes) 16.226 * * [simplify]: Extracting #0: cost 1 inf + 0 16.226 * * [simplify]: Extracting #1: cost 8 inf + 0 16.227 * * [simplify]: Extracting #2: cost 23 inf + 0 16.227 * * [simplify]: Extracting #3: cost 29 inf + 46 16.227 * * [simplify]: Extracting #4: cost 31 inf + 785 16.229 * * [simplify]: Extracting #5: cost 12 inf + 3789 16.230 * * [simplify]: Extracting #6: cost 5 inf + 5775 16.232 * * [simplify]: Extracting #7: cost 0 inf + 7799 16.237 * [simplify]: Simplified to (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 (* N N)) N)) 16.237 * [simplify]: Simplified (2 1 1 2) to (λ (N) (exp (log (* 1 (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 (* N N)) N)))))) 16.238 * * * * [progress]: [ 38 / 99 ] simplifiying candidate # 16.238 * [simplify]: Simplifying (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 16.238 * * [simplify]: iters left: 6 (11 enodes) 16.245 * * [simplify]: iters left: 5 (45 enodes) 16.261 * * [simplify]: iters left: 4 (65 enodes) 16.281 * * [simplify]: iters left: 3 (77 enodes) 16.293 * * [simplify]: iters left: 2 (91 enodes) 16.308 * * [simplify]: iters left: 1 (121 enodes) 16.334 * * [simplify]: Extracting #0: cost 1 inf + 0 16.335 * * [simplify]: Extracting #1: cost 8 inf + 0 16.335 * * [simplify]: Extracting #2: cost 23 inf + 0 16.335 * * [simplify]: Extracting #3: cost 29 inf + 46 16.335 * * [simplify]: Extracting #4: cost 31 inf + 785 16.337 * * [simplify]: Extracting #5: cost 12 inf + 3789 16.338 * * [simplify]: Extracting #6: cost 5 inf + 5775 16.340 * * [simplify]: Extracting #7: cost 0 inf + 7799 16.342 * [simplify]: Simplified to (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 (* N N)) N)) 16.342 * [simplify]: Simplified (2 1 1 2) to (λ (N) (exp (log (* 1 (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 (* N N)) N)))))) 16.343 * * * * [progress]: [ 39 / 99 ] simplifiying candidate # 16.343 * [simplify]: Simplifying (/ 1 N) 16.343 * * [simplify]: iters left: 2 (3 enodes) 16.345 * * [simplify]: iters left: 1 (11 enodes) 16.349 * * [simplify]: Extracting #0: cost 1 inf + 0 16.349 * * [simplify]: Extracting #1: cost 4 inf + 0 16.349 * * [simplify]: Extracting #2: cost 2 inf + 2 16.349 * * [simplify]: Extracting #3: cost 0 inf + 86 16.349 * [simplify]: Simplified to (/ 1 N) 16.349 * [simplify]: Simplified (2 1 1 1) to (λ (N) (exp (log (+ (/ 1 N) (+ (/ -1/2 (* N N)) (/ (/ 1/3 (* N N)) N)))))) 16.349 * * * * [progress]: [ 40 / 99 ] simplifiying candidate #real (real->posit16 (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))))))> 16.349 * * * * [progress]: [ 41 / 99 ] simplifiying candidate # 16.349 * * * * [progress]: [ 42 / 99 ] simplifiying candidate # 16.349 * * * * [progress]: [ 43 / 99 ] simplifiying candidate # 16.350 * [simplify]: Simplifying (exp 1) 16.350 * * [simplify]: iters left: 1 (2 enodes) 16.354 * * [simplify]: Extracting #0: cost 1 inf + 0 16.354 * * [simplify]: Extracting #1: cost 0 inf + 1 16.354 * [simplify]: Simplified to E 16.354 * [simplify]: Simplified (2 1) to (λ (N) (pow E (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))))) 16.354 * * * * [progress]: [ 44 / 99 ] simplifiying candidate # 16.354 * [simplify]: Simplifying (exp (* (cbrt (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))) (cbrt (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))))) 16.355 * * [simplify]: iters left: 6 (15 enodes) 16.363 * * [simplify]: iters left: 5 (59 enodes) 16.382 * * [simplify]: iters left: 4 (85 enodes) 16.405 * * [simplify]: iters left: 3 (108 enodes) 16.421 * * [simplify]: iters left: 2 (144 enodes) 16.455 * * [simplify]: iters left: 1 (228 enodes) 16.506 * * [simplify]: Extracting #0: cost 1 inf + 0 16.506 * * [simplify]: Extracting #1: cost 14 inf + 0 16.506 * * [simplify]: Extracting #2: cost 57 inf + 1 16.507 * * [simplify]: Extracting #3: cost 73 inf + 4 16.507 * * [simplify]: Extracting #4: cost 81 inf + 5 16.508 * * [simplify]: Extracting #5: cost 95 inf + 5 16.508 * * [simplify]: Extracting #6: cost 94 inf + 663 16.512 * * [simplify]: Extracting #7: cost 66 inf + 15389 16.524 * * [simplify]: Extracting #8: cost 29 inf + 40589 16.545 * * [simplify]: Extracting #9: cost 4 inf + 59784 16.567 * * [simplify]: Extracting #10: cost 0 inf + 61556 16.579 * [simplify]: Simplified to (exp (* (cbrt (log (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 (* N N)) N)))) (cbrt (log (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 (* N N)) N)))))) 16.579 * [simplify]: Simplified (2 1) to (λ (N) (pow (exp (* (cbrt (log (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 (* N N)) N)))) (cbrt (log (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 (* N N)) N)))))) (cbrt (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))))) 16.579 * * * * [progress]: [ 45 / 99 ] simplifiying candidate # 16.580 * [simplify]: Simplifying (exp (sqrt (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))))) 16.580 * * [simplify]: iters left: 6 (14 enodes) 16.584 * * [simplify]: iters left: 5 (54 enodes) 16.595 * * [simplify]: iters left: 4 (74 enodes) 16.614 * * [simplify]: iters left: 3 (87 enodes) 16.628 * * [simplify]: iters left: 2 (101 enodes) 16.646 * * [simplify]: iters left: 1 (131 enodes) 16.686 * * [simplify]: Extracting #0: cost 1 inf + 0 16.686 * * [simplify]: Extracting #1: cost 3 inf + 0 16.686 * * [simplify]: Extracting #2: cost 5 inf + 0 16.686 * * [simplify]: Extracting #3: cost 7 inf + 0 16.686 * * [simplify]: Extracting #4: cost 14 inf + 0 16.686 * * [simplify]: Extracting #5: cost 29 inf + 0 16.687 * * [simplify]: Extracting #6: cost 34 inf + 128 16.687 * * [simplify]: Extracting #7: cost 34 inf + 992 16.689 * * [simplify]: Extracting #8: cost 14 inf + 5635 16.691 * * [simplify]: Extracting #9: cost 0 inf + 10463 16.692 * [simplify]: Simplified to (exp (sqrt (log (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ (/ 1/3 N) N) N))))) 16.692 * [simplify]: Simplified (2 1) to (λ (N) (pow (exp (sqrt (log (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ (/ 1/3 N) N) N))))) (sqrt (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))))) 16.692 * * * * [progress]: [ 46 / 99 ] simplifiying candidate # 16.692 * [simplify]: Simplifying (exp 1) 16.692 * * [simplify]: iters left: 1 (2 enodes) 16.693 * * [simplify]: Extracting #0: cost 1 inf + 0 16.693 * * [simplify]: Extracting #1: cost 0 inf + 1 16.693 * [simplify]: Simplified to E 16.693 * [simplify]: Simplified (2 1) to (λ (N) (pow E (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))))) 16.694 * * * * [progress]: [ 47 / 99 ] simplifiying candidate # 16.694 * [simplify]: Simplifying (exp (log (* (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))))) 16.694 * * [simplify]: iters left: 6 (15 enodes) 16.698 * * [simplify]: iters left: 5 (57 enodes) 16.710 * * [simplify]: iters left: 4 (81 enodes) 16.726 * * [simplify]: iters left: 3 (94 enodes) 16.752 * * [simplify]: iters left: 2 (108 enodes) 16.784 * * [simplify]: iters left: 1 (138 enodes) 16.827 * * [simplify]: Extracting #0: cost 1 inf + 0 16.827 * * [simplify]: Extracting #1: cost 4 inf + 0 16.827 * * [simplify]: Extracting #2: cost 8 inf + 0 16.827 * * [simplify]: Extracting #3: cost 16 inf + 0 16.827 * * [simplify]: Extracting #4: cost 31 inf + 0 16.827 * * [simplify]: Extracting #5: cost 38 inf + 4 16.828 * * [simplify]: Extracting #6: cost 35 inf + 949 16.828 * * [simplify]: Extracting #7: cost 18 inf + 4609 16.830 * * [simplify]: Extracting #8: cost 5 inf + 8716 16.831 * * [simplify]: Extracting #9: cost 0 inf + 10991 16.835 * [simplify]: Simplified to (* (cbrt (+ (/ 1 N) (+ (/ -1/2 (* N N)) (/ (/ 1/3 N) (* N N))))) (cbrt (+ (/ 1 N) (+ (/ -1/2 (* N N)) (/ (/ 1/3 N) (* N N)))))) 16.835 * [simplify]: Simplified (2 1) to (λ (N) (* (* (cbrt (+ (/ 1 N) (+ (/ -1/2 (* N N)) (/ (/ 1/3 N) (* N N))))) (cbrt (+ (/ 1 N) (+ (/ -1/2 (* N N)) (/ (/ 1/3 N) (* N N)))))) (exp (log (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))))))) 16.835 * * * * [progress]: [ 48 / 99 ] simplifiying candidate # 16.835 * [simplify]: Simplifying (exp (log (sqrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))))) 16.835 * * [simplify]: iters left: 6 (14 enodes) 16.839 * * [simplify]: iters left: 5 (52 enodes) 16.847 * * [simplify]: iters left: 4 (72 enodes) 16.858 * * [simplify]: iters left: 3 (85 enodes) 16.880 * * [simplify]: iters left: 2 (99 enodes) 16.900 * * [simplify]: iters left: 1 (129 enodes) 16.928 * * [simplify]: Extracting #0: cost 1 inf + 0 16.928 * * [simplify]: Extracting #1: cost 4 inf + 0 16.928 * * [simplify]: Extracting #2: cost 12 inf + 0 16.928 * * [simplify]: Extracting #3: cost 27 inf + 0 16.929 * * [simplify]: Extracting #4: cost 32 inf + 128 16.929 * * [simplify]: Extracting #5: cost 30 inf + 1416 16.930 * * [simplify]: Extracting #6: cost 19 inf + 3063 16.932 * * [simplify]: Extracting #7: cost 5 inf + 7120 16.935 * * [simplify]: Extracting #8: cost 0 inf + 9395 16.937 * [simplify]: Simplified to (sqrt (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ (/ 1/3 N) N) N))) 16.937 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ (/ 1/3 N) N) N))) (exp (log (sqrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))))))) 16.937 * * * * [progress]: [ 49 / 99 ] simplifiying candidate # 16.938 * [simplify]: Simplifying (exp (log 1)) 16.938 * * [simplify]: iters left: 2 (3 enodes) 16.940 * * [simplify]: iters left: 1 (9 enodes) 16.943 * * [simplify]: Extracting #0: cost 1 inf + 0 16.943 * * [simplify]: Extracting #1: cost 0 inf + 1 16.943 * [simplify]: Simplified to 1 16.943 * [simplify]: Simplified (2 1) to (λ (N) (* 1 (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))))) 16.943 * * * * [progress]: [ 50 / 99 ] simplifiying candidate # 16.943 * [simplify]: Simplifying (exp (log 1)) 16.943 * * [simplify]: iters left: 2 (3 enodes) 16.946 * * [simplify]: iters left: 1 (9 enodes) 16.948 * * [simplify]: Extracting #0: cost 1 inf + 0 16.948 * * [simplify]: Extracting #1: cost 0 inf + 1 16.948 * [simplify]: Simplified to 1 16.948 * [simplify]: Simplified (2 1) to (λ (N) (* 1 (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))))) 16.948 * * * * [progress]: [ 51 / 99 ] simplifiying candidate # 16.949 * [simplify]: Simplifying (exp (log 1)) 16.949 * * [simplify]: iters left: 2 (3 enodes) 16.951 * * [simplify]: iters left: 1 (9 enodes) 16.954 * * [simplify]: Extracting #0: cost 1 inf + 0 16.954 * * [simplify]: Extracting #1: cost 0 inf + 1 16.954 * [simplify]: Simplified to 1 16.954 * [simplify]: Simplified (2 1) to (λ (N) (* 1 (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))))) 16.954 * * * * [progress]: [ 52 / 99 ] simplifiying candidate # 16.954 * [simplify]: Simplifying (exp (log 1)) 16.954 * * [simplify]: iters left: 2 (3 enodes) 16.957 * * [simplify]: iters left: 1 (9 enodes) 16.959 * * [simplify]: Extracting #0: cost 1 inf + 0 16.959 * * [simplify]: Extracting #1: cost 0 inf + 1 16.959 * [simplify]: Simplified to 1 16.959 * [simplify]: Simplified (2 1) to (λ (N) (* 1 (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))))) 16.959 * * * * [progress]: [ 53 / 99 ] simplifiying candidate # 16.960 * [simplify]: Simplifying (exp (log (+ (* (+ (* 1 (* N N)) (* N -1/2)) N) (* (* N (* N N)) (/ 1/3 (* N N)))))) 16.960 * * [simplify]: iters left: 6 (15 enodes) 16.968 * * [simplify]: iters left: 5 (60 enodes) 16.992 * * [simplify]: iters left: 4 (127 enodes) 17.042 * * [simplify]: iters left: 3 (320 enodes) 17.264 * * [simplify]: Extracting #0: cost 1 inf + 0 17.264 * * [simplify]: Extracting #1: cost 20 inf + 0 17.265 * * [simplify]: Extracting #2: cost 119 inf + 42 17.266 * * [simplify]: Extracting #3: cost 177 inf + 1017 17.271 * * [simplify]: Extracting #4: cost 88 inf + 10096 17.280 * * [simplify]: Extracting #5: cost 18 inf + 25581 17.290 * * [simplify]: Extracting #6: cost 0 inf + 32062 17.301 * [simplify]: Simplified to (* N (+ (* (+ N -1/2) N) 1/3)) 17.301 * [simplify]: Simplified (2 1) to (λ (N) (/ (* N (+ (* (+ N -1/2) N) 1/3)) (exp (log (* (* N (* N N)) N))))) 17.302 * * * * [progress]: [ 54 / 99 ] simplifiying candidate # 17.302 * [simplify]: Simplifying (exp (log (+ (* (+ (pow (/ 1 N) 3) (pow (/ -1/2 (* N N)) 3)) N) (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) (/ 1/3 (* N N)))))) 17.302 * * [simplify]: iters left: 6 (22 enodes) 17.317 * * [simplify]: iters left: 5 (114 enodes) 17.366 * * [simplify]: iters left: 4 (288 enodes) 17.488 * * [simplify]: Extracting #0: cost 1 inf + 0 17.488 * * [simplify]: Extracting #1: cost 17 inf + 0 17.489 * * [simplify]: Extracting #2: cost 103 inf + 0 17.490 * * [simplify]: Extracting #3: cost 208 inf + 167 17.492 * * [simplify]: Extracting #4: cost 215 inf + 4168 17.502 * * [simplify]: Extracting #5: cost 97 inf + 27902 17.521 * * [simplify]: Extracting #6: cost 12 inf + 50127 17.537 * * [simplify]: Extracting #7: cost 0 inf + 54444 17.549 * * [simplify]: Extracting #8: cost 0 inf + 54364 17.565 * [simplify]: Simplified to (+ (/ (+ (/ (/ 1 N) N) (* (- (/ -1/2 (* N N)) (/ 1 N)) (/ -1/2 (* N N)))) (/ (* N N) 1/3)) (+ (* N (/ 1 (* N (* N N)))) (/ (* N -1/8) (* (* N (* N N)) (* N (* N N)))))) 17.566 * [simplify]: Simplified (2 1) to (λ (N) (/ (+ (/ (+ (/ (/ 1 N) N) (* (- (/ -1/2 (* N N)) (/ 1 N)) (/ -1/2 (* N N)))) (/ (* N N) 1/3)) (+ (* N (/ 1 (* N (* N N)))) (/ (* N -1/8) (* (* N (* N N)) (* N (* N N)))))) (exp (log (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) N))))) 17.566 * * * * [progress]: [ 55 / 99 ] simplifiying candidate # 17.566 * [simplify]: Simplifying (exp (log (+ (* (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) N) (* (- (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N N)))))) 17.566 * * [simplify]: iters left: 6 (17 enodes) 17.572 * * [simplify]: iters left: 5 (74 enodes) 17.590 * * [simplify]: iters left: 4 (165 enodes) 17.663 * * [simplify]: iters left: 3 (460 enodes) 17.874 * * [simplify]: Extracting #0: cost 1 inf + 0 17.874 * * [simplify]: Extracting #1: cost 30 inf + 0 17.875 * * [simplify]: Extracting #2: cost 262 inf + 0 17.876 * * [simplify]: Extracting #3: cost 402 inf + 211 17.881 * * [simplify]: Extracting #4: cost 321 inf + 21291 17.899 * * [simplify]: Extracting #5: cost 43 inf + 73678 17.939 * * [simplify]: Extracting #6: cost 1 inf + 81545 17.981 * * [simplify]: Extracting #7: cost 0 inf + 81630 18.020 * [simplify]: Simplified to (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* N -1/2) (* N N))))) 18.020 * [simplify]: Simplified (2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* N -1/2) (* N N))))) (exp (log (* (- (/ 1 N) (/ -1/2 (* N N))) N))))) 18.020 * * * * [progress]: [ 56 / 99 ] simplifiying candidate # 18.021 * [simplify]: Simplifying (exp (log (+ (pow (+ (/ 1 N) (/ -1/2 (* N N))) 3) (pow (/ (/ 1/3 (* N N)) N) 3)))) 18.021 * * [simplify]: iters left: 6 (16 enodes) 18.031 * * [simplify]: iters left: 5 (72 enodes) 18.059 * * [simplify]: iters left: 4 (158 enodes) 18.124 * * [simplify]: Extracting #0: cost 1 inf + 0 18.125 * * [simplify]: Extracting #1: cost 11 inf + 0 18.125 * * [simplify]: Extracting #2: cost 87 inf + 0 18.126 * * [simplify]: Extracting #3: cost 163 inf + 4 18.127 * * [simplify]: Extracting #4: cost 144 inf + 4032 18.133 * * [simplify]: Extracting #5: cost 50 inf + 24614 18.146 * * [simplify]: Extracting #6: cost 2 inf + 37523 18.160 * * [simplify]: Extracting #7: cost 0 inf + 37537 18.174 * [simplify]: Simplified to (+ (/ (/ 1/27 (* N (* N N))) (* (* N (* N N)) (* N (* N N)))) (* (+ (/ -1/2 (* N N)) (/ 1 N)) (* (+ (/ -1/2 (* N N)) (/ 1 N)) (+ (/ -1/2 (* N N)) (/ 1 N))))) 18.174 * [simplify]: Simplified (2 1) to (λ (N) (/ (+ (/ (/ 1/27 (* N (* N N))) (* (* N (* N N)) (* N (* N N)))) (* (+ (/ -1/2 (* N N)) (/ 1 N)) (* (+ (/ -1/2 (* N N)) (/ 1 N)) (+ (/ -1/2 (* N N)) (/ 1 N))))) (exp (log (+ (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (- (* (/ (/ 1/3 (* N N)) N) (/ (/ 1/3 (* N N)) N)) (* (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))))))) 18.174 * * * * [progress]: [ 57 / 99 ] simplifiying candidate # 18.175 * [simplify]: Simplifying (exp (log (- (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (* (/ (/ 1/3 (* N N)) N) (/ (/ 1/3 (* N N)) N))))) 18.175 * * [simplify]: iters left: 6 (15 enodes) 18.184 * * [simplify]: iters left: 5 (67 enodes) 18.210 * * [simplify]: iters left: 4 (171 enodes) 18.259 * * [simplify]: Extracting #0: cost 1 inf + 0 18.259 * * [simplify]: Extracting #1: cost 46 inf + 0 18.259 * * [simplify]: Extracting #2: cost 126 inf + 0 18.260 * * [simplify]: Extracting #3: cost 158 inf + 1314 18.263 * * [simplify]: Extracting #4: cost 63 inf + 19125 18.270 * * [simplify]: Extracting #5: cost 3 inf + 34450 18.278 * * [simplify]: Extracting #6: cost 0 inf + 35391 18.286 * [simplify]: Simplified to (- (* (+ (/ -1/2 (* N N)) (/ 1 N)) (+ (/ -1/2 (* N N)) (/ 1 N))) (* (/ (/ 1/3 (* N N)) N) (/ (/ 1/3 (* N N)) N))) 18.286 * [simplify]: Simplified (2 1) to (λ (N) (/ (- (* (+ (/ -1/2 (* N N)) (/ 1 N)) (+ (/ -1/2 (* N N)) (/ 1 N))) (* (/ (/ 1/3 (* N N)) N) (/ (/ 1/3 (* N N)) N))) (exp (log (- (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))))) 18.287 * * * * [progress]: [ 58 / 99 ] simplifiying candidate # 18.287 * [simplify]: Simplifying (+ (/ 1 N) (/ -1/2 (* N N))) 18.287 * * [simplify]: iters left: 6 (7 enodes) 18.289 * * [simplify]: iters left: 5 (26 enodes) 18.300 * * [simplify]: iters left: 4 (30 enodes) 18.309 * * [simplify]: Extracting #0: cost 1 inf + 0 18.310 * * [simplify]: Extracting #1: cost 4 inf + 0 18.310 * * [simplify]: Extracting #2: cost 11 inf + 0 18.310 * * [simplify]: Extracting #3: cost 9 inf + 44 18.310 * * [simplify]: Extracting #4: cost 3 inf + 335 18.310 * * [simplify]: Extracting #5: cost 1 inf + 580 18.310 * * [simplify]: Extracting #6: cost 0 inf + 743 18.311 * [simplify]: Simplified to (+ (/ -1/2 (* N N)) (/ 1 N)) 18.311 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 (* N N)) N))) 18.311 * * * * [progress]: [ 59 / 99 ] simplifiying candidate # 18.311 * * * * [progress]: [ 60 / 99 ] simplifiying candidate # 18.311 * * * * [progress]: [ 61 / 99 ] simplifiying candidate # 18.311 * * * * [progress]: [ 62 / 99 ] simplifiying candidate # 18.311 * * * * [progress]: [ 63 / 99 ] simplifiying candidate # 18.311 * * * * [progress]: [ 64 / 99 ] simplifiying candidate # 18.311 * * * * [progress]: [ 65 / 99 ] simplifiying candidate #real (real->posit16 (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))))))> 18.312 * * * * [progress]: [ 66 / 99 ] simplifiying candidate # 18.312 * * * * [progress]: [ 67 / 99 ] simplifiying candidate # 18.312 * [simplify]: Simplifying (- (log 1/3) (+ (log N) (log N))) 18.312 * * [simplify]: iters left: 5 (6 enodes) 18.316 * * [simplify]: iters left: 4 (22 enodes) 18.323 * * [simplify]: iters left: 3 (31 enodes) 18.333 * * [simplify]: iters left: 2 (39 enodes) 18.349 * * [simplify]: iters left: 1 (45 enodes) 18.362 * * [simplify]: Extracting #0: cost 1 inf + 0 18.362 * * [simplify]: Extracting #1: cost 10 inf + 0 18.362 * * [simplify]: Extracting #2: cost 20 inf + 0 18.362 * * [simplify]: Extracting #3: cost 16 inf + 184 18.362 * * [simplify]: Extracting #4: cost 5 inf + 1698 18.363 * * [simplify]: Extracting #5: cost 0 inf + 2537 18.364 * [simplify]: Simplified to (- (log 1/3) (+ (log N) (log N))) 18.364 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (N) (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (exp (- (log 1/3) (+ (log N) (log N)))) N))))) 18.364 * * * * [progress]: [ 68 / 99 ] simplifiying candidate # 18.365 * [simplify]: Simplifying (- (log 1/3) (log (* N N))) 18.365 * * [simplify]: iters left: 5 (6 enodes) 18.368 * * [simplify]: iters left: 4 (22 enodes) 18.375 * * [simplify]: iters left: 3 (31 enodes) 18.385 * * [simplify]: iters left: 2 (41 enodes) 18.397 * * [simplify]: iters left: 1 (48 enodes) 18.411 * * [simplify]: Extracting #0: cost 1 inf + 0 18.411 * * [simplify]: Extracting #1: cost 12 inf + 0 18.411 * * [simplify]: Extracting #2: cost 25 inf + 0 18.411 * * [simplify]: Extracting #3: cost 10 inf + 1748 18.412 * * [simplify]: Extracting #4: cost 0 inf + 3263 18.413 * [simplify]: Simplified to (- (log 1/3) (+ (log N) (log N))) 18.413 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (N) (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (exp (- (log 1/3) (+ (log N) (log N)))) N))))) 18.414 * * * * [progress]: [ 69 / 99 ] simplifiying candidate # 18.414 * * * * [progress]: [ 70 / 99 ] simplifiying candidate # 18.414 * * * * [progress]: [ 71 / 99 ] simplifiying candidate # 18.414 * [simplify]: Simplifying (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) N) (* (* N N) N))) 18.414 * * [simplify]: iters left: 6 (8 enodes) 18.420 * * [simplify]: iters left: 5 (40 enodes) 18.437 * * [simplify]: iters left: 4 (125 enodes) 18.479 * * [simplify]: iters left: 3 (395 enodes) 18.749 * * [simplify]: Extracting #0: cost 1 inf + 0 18.749 * * [simplify]: Extracting #1: cost 86 inf + 0 18.750 * * [simplify]: Extracting #2: cost 142 inf + 3503 18.754 * * [simplify]: Extracting #3: cost 48 inf + 15446 18.760 * * [simplify]: Extracting #4: cost 14 inf + 21195 18.766 * * [simplify]: Extracting #5: cost 0 inf + 25333 18.772 * [simplify]: Simplified to (/ 1/27 (* (* N (* N N)) (* N (* N N)))) 18.772 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (N) (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (cbrt (/ 1/27 (* (* N (* N N)) (* N (* N N))))) N))))) 18.772 * * * * [progress]: [ 72 / 99 ] simplifiying candidate # 18.773 * [simplify]: Simplifying (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) (* N N)) (* N N))) 18.773 * * [simplify]: iters left: 6 (8 enodes) 18.778 * * [simplify]: iters left: 5 (41 enodes) 18.797 * * [simplify]: iters left: 4 (128 enodes) 18.836 * * [simplify]: iters left: 3 (370 enodes) 19.044 * * [simplify]: Extracting #0: cost 1 inf + 0 19.044 * * [simplify]: Extracting #1: cost 85 inf + 0 19.046 * * [simplify]: Extracting #2: cost 134 inf + 2854 19.053 * * [simplify]: Extracting #3: cost 61 inf + 11812 19.063 * * [simplify]: Extracting #4: cost 18 inf + 18887 19.074 * * [simplify]: Extracting #5: cost 0 inf + 24276 19.086 * [simplify]: Simplified to (/ (/ 1/27 (* N (* N N))) (* N (* N N))) 19.086 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (N) (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (cbrt (/ (/ 1/27 (* N (* N N))) (* N (* N N)))) N))))) 19.086 * * * * [progress]: [ 73 / 99 ] simplifiying candidate # 19.086 * * * * [progress]: [ 74 / 99 ] simplifiying candidate # 19.086 * * * * [progress]: [ 75 / 99 ] simplifiying candidate # 19.087 * * * * [progress]: [ 76 / 99 ] simplifiying candidate # 19.087 * * * * [progress]: [ 77 / 99 ] simplifiying candidate # 19.087 * [simplify]: Simplifying (/ (* (cbrt 1/3) (cbrt 1/3)) N) 19.087 * * [simplify]: iters left: 5 (5 enodes) 19.090 * * [simplify]: iters left: 4 (17 enodes) 19.096 * * [simplify]: iters left: 3 (21 enodes) 19.103 * * [simplify]: iters left: 2 (24 enodes) 19.111 * * [simplify]: Extracting #0: cost 1 inf + 0 19.111 * * [simplify]: Extracting #1: cost 7 inf + 0 19.111 * * [simplify]: Extracting #2: cost 11 inf + 1 19.111 * * [simplify]: Extracting #3: cost 10 inf + 2 19.112 * * [simplify]: Extracting #4: cost 0 inf + 1218 19.112 * [simplify]: Simplified to (/ (* (cbrt 1/3) (cbrt 1/3)) N) 19.112 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (N) (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (* (/ (* (cbrt 1/3) (cbrt 1/3)) N) (/ (cbrt 1/3) N)) N))))) 19.113 * [simplify]: Simplifying (/ (cbrt 1/3) N) 19.113 * * [simplify]: iters left: 3 (4 enodes) 19.115 * * [simplify]: iters left: 2 (12 enodes) 19.117 * * [simplify]: Extracting #0: cost 1 inf + 0 19.117 * * [simplify]: Extracting #1: cost 4 inf + 0 19.117 * * [simplify]: Extracting #2: cost 5 inf + 1 19.117 * * [simplify]: Extracting #3: cost 4 inf + 2 19.117 * * [simplify]: Extracting #4: cost 0 inf + 408 19.117 * [simplify]: Simplified to (/ (cbrt 1/3) N) 19.117 * [simplify]: Simplified (2 1 1 2 1 2) to (λ (N) (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (* (/ (* (cbrt 1/3) (cbrt 1/3)) N) (/ (cbrt 1/3) N)) N))))) 19.117 * * * * [progress]: [ 78 / 99 ] simplifiying candidate # 19.117 * [simplify]: Simplifying (/ (sqrt 1/3) N) 19.117 * * [simplify]: iters left: 3 (4 enodes) 19.119 * * [simplify]: iters left: 2 (12 enodes) 19.121 * * [simplify]: Extracting #0: cost 1 inf + 0 19.121 * * [simplify]: Extracting #1: cost 4 inf + 0 19.121 * * [simplify]: Extracting #2: cost 5 inf + 1 19.121 * * [simplify]: Extracting #3: cost 4 inf + 2 19.121 * * [simplify]: Extracting #4: cost 0 inf + 248 19.121 * [simplify]: Simplified to (/ (sqrt 1/3) N) 19.121 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (N) (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (* (/ (sqrt 1/3) N) (/ (sqrt 1/3) N)) N))))) 19.121 * [simplify]: Simplifying (/ (sqrt 1/3) N) 19.121 * * [simplify]: iters left: 3 (4 enodes) 19.123 * * [simplify]: iters left: 2 (12 enodes) 19.125 * * [simplify]: Extracting #0: cost 1 inf + 0 19.125 * * [simplify]: Extracting #1: cost 4 inf + 0 19.125 * * [simplify]: Extracting #2: cost 5 inf + 1 19.125 * * [simplify]: Extracting #3: cost 4 inf + 2 19.126 * * [simplify]: Extracting #4: cost 0 inf + 248 19.126 * [simplify]: Simplified to (/ (sqrt 1/3) N) 19.126 * [simplify]: Simplified (2 1 1 2 1 2) to (λ (N) (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (* (/ (sqrt 1/3) N) (/ (sqrt 1/3) N)) N))))) 19.126 * * * * [progress]: [ 79 / 99 ] simplifiying candidate # 19.126 * [simplify]: Simplifying (/ 1 N) 19.126 * * [simplify]: iters left: 2 (3 enodes) 19.127 * * [simplify]: iters left: 1 (11 enodes) 19.129 * * [simplify]: Extracting #0: cost 1 inf + 0 19.129 * * [simplify]: Extracting #1: cost 4 inf + 0 19.129 * * [simplify]: Extracting #2: cost 2 inf + 2 19.129 * * [simplify]: Extracting #3: cost 0 inf + 86 19.129 * [simplify]: Simplified to (/ 1 N) 19.129 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (N) (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (* (/ 1 N) (/ 1/3 N)) N))))) 19.129 * [simplify]: Simplifying (/ 1/3 N) 19.129 * * [simplify]: iters left: 2 (3 enodes) 19.130 * * [simplify]: iters left: 1 (9 enodes) 19.132 * * [simplify]: Extracting #0: cost 1 inf + 0 19.132 * * [simplify]: Extracting #1: cost 4 inf + 0 19.132 * * [simplify]: Extracting #2: cost 2 inf + 2 19.132 * * [simplify]: Extracting #3: cost 0 inf + 86 19.132 * [simplify]: Simplified to (/ 1/3 N) 19.132 * [simplify]: Simplified (2 1 1 2 1 2) to (λ (N) (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (* (/ 1 N) (/ 1/3 N)) N))))) 19.132 * * * * [progress]: [ 80 / 99 ] simplifiying candidate # 19.132 * * * * [progress]: [ 81 / 99 ] simplifiying candidate # 19.132 * * * * [progress]: [ 82 / 99 ] simplifiying candidate # 19.132 * * * * [progress]: [ 83 / 99 ] simplifiying candidate # 19.132 * * * * [progress]: [ 84 / 99 ] simplifiying candidate # 19.132 * [simplify]: Simplifying (* (cbrt 1/3) (cbrt 1/3)) 19.133 * * [simplify]: iters left: 3 (3 enodes) 19.137 * * [simplify]: iters left: 2 (9 enodes) 19.140 * * [simplify]: Extracting #0: cost 1 inf + 0 19.140 * * [simplify]: Extracting #1: cost 3 inf + 0 19.140 * * [simplify]: Extracting #2: cost 5 inf + 0 19.140 * * [simplify]: Extracting #3: cost 4 inf + 1 19.140 * * [simplify]: Extracting #4: cost 0 inf + 405 19.140 * [simplify]: Simplified to (* (cbrt 1/3) (cbrt 1/3)) 19.141 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (N) (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ (* (cbrt 1/3) (cbrt 1/3)) (/ (* N N) (cbrt 1/3))) N))))) 19.141 * * * * [progress]: [ 85 / 99 ] simplifiying candidate # 19.141 * [simplify]: Simplifying (sqrt 1/3) 19.141 * * [simplify]: iters left: 1 (2 enodes) 19.143 * * [simplify]: Extracting #0: cost 1 inf + 0 19.143 * * [simplify]: Extracting #1: cost 3 inf + 0 19.143 * * [simplify]: Extracting #2: cost 2 inf + 1 19.143 * * [simplify]: Extracting #3: cost 0 inf + 83 19.143 * [simplify]: Simplified to (sqrt 1/3) 19.143 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (N) (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ (sqrt 1/3) (/ (* N N) (sqrt 1/3))) N))))) 19.143 * * * * [progress]: [ 86 / 99 ] simplifiying candidate # 19.143 * * * * [progress]: [ 87 / 99 ] simplifiying candidate #real (real->posit16 (/ 1/3 (* N N)))) N)))))> 19.143 * * * * [progress]: [ 88 / 99 ] simplifiying candidate # 19.144 * [simplify]: Simplifying (- (+ (log 1/3) (* 15/8 (pow N 2))) (+ (* 3/2 N) (* 3 (log N)))) 19.144 * * [simplify]: iters left: 6 (15 enodes) 19.154 * * [simplify]: iters left: 5 (61 enodes) 19.175 * * [simplify]: iters left: 4 (98 enodes) 19.211 * * [simplify]: iters left: 3 (183 enodes) 19.283 * * [simplify]: iters left: 2 (273 enodes) 19.372 * * [simplify]: iters left: 1 (366 enodes) 19.499 * * [simplify]: Extracting #0: cost 1 inf + 0 19.499 * * [simplify]: Extracting #1: cost 54 inf + 0 19.500 * * [simplify]: Extracting #2: cost 115 inf + 0 19.501 * * [simplify]: Extracting #3: cost 101 inf + 1223 19.508 * * [simplify]: Extracting #4: cost 27 inf + 16270 19.518 * * [simplify]: Extracting #5: cost 2 inf + 22718 19.530 * * [simplify]: Extracting #6: cost 0 inf + 23185 19.537 * [simplify]: Simplified to (- (* (+ -3/2 (* 15/8 N)) N) (- (* 3 (log N)) (log 1/3))) 19.537 * [simplify]: Simplified (2 1) to (λ (N) (exp (- (* (+ -3/2 (* 15/8 N)) N) (- (* 3 (log N)) (log 1/3))))) 19.537 * * * * [progress]: [ 89 / 99 ] simplifiying candidate # 19.538 * [simplify]: Simplifying (- (+ (* 5/24 (/ 1 (pow N 2))) (log (/ 1 N))) (* 1/2 (/ 1 N))) 19.538 * * [simplify]: iters left: 6 (13 enodes) 19.544 * * [simplify]: iters left: 5 (60 enodes) 19.554 * * [simplify]: iters left: 4 (91 enodes) 19.572 * * [simplify]: iters left: 3 (125 enodes) 19.602 * * [simplify]: iters left: 2 (175 enodes) 19.640 * * [simplify]: iters left: 1 (265 enodes) 19.720 * * [simplify]: Extracting #0: cost 1 inf + 0 19.720 * * [simplify]: Extracting #1: cost 19 inf + 0 19.721 * * [simplify]: Extracting #2: cost 52 inf + 1 19.721 * * [simplify]: Extracting #3: cost 49 inf + 590 19.723 * * [simplify]: Extracting #4: cost 19 inf + 3371 19.726 * * [simplify]: Extracting #5: cost 3 inf + 5532 19.731 * * [simplify]: Extracting #6: cost 0 inf + 5929 19.734 * [simplify]: Simplified to (- (/ -1/2 N) (+ (log N) (/ -5/24 (* N N)))) 19.734 * [simplify]: Simplified (2 1) to (λ (N) (exp (- (/ -1/2 N) (+ (log N) (/ -5/24 (* N N)))))) 19.734 * * * * [progress]: [ 90 / 99 ] simplifiying candidate # 19.734 * [simplify]: Simplifying (- (+ (* 5/24 (/ 1 (pow N 2))) (+ (log (/ -1 N)) (log -1))) (* 1/2 (/ 1 N))) 19.734 * * [simplify]: iters left: 6 (17 enodes) 19.741 * * [simplify]: iters left: 5 (73 enodes) 19.754 * * [simplify]: iters left: 4 (125 enodes) 19.793 * * [simplify]: iters left: 3 (243 enodes) 19.872 * * [simplify]: iters left: 2 (475 enodes) 20.054 * * [simplify]: Extracting #0: cost 1 inf + 0 20.054 * * [simplify]: Extracting #1: cost 56 inf + 0 20.055 * * [simplify]: Extracting #2: cost 131 inf + 0 20.055 * * [simplify]: Extracting #3: cost 127 inf + 409 20.058 * * [simplify]: Extracting #4: cost 60 inf + 12734 20.064 * * [simplify]: Extracting #5: cost 7 inf + 25129 20.071 * * [simplify]: Extracting #6: cost 0 inf + 26397 20.078 * [simplify]: Simplified to (+ (+ (/ -1/2 N) (/ 5/24 (* N N))) (+ (log -1) (log (/ -1 N)))) 20.078 * [simplify]: Simplified (2 1) to (λ (N) (exp (+ (+ (/ -1/2 N) (/ 5/24 (* N N))) (+ (log -1) (log (/ -1 N)))))) 20.078 * * * * [progress]: [ 91 / 99 ] simplifiying candidate # 20.078 * [simplify]: Simplifying (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 20.078 * * [simplify]: iters left: 6 (15 enodes) 20.085 * * [simplify]: iters left: 5 (68 enodes) 20.110 * * [simplify]: iters left: 4 (114 enodes) 20.152 * * [simplify]: iters left: 3 (170 enodes) 20.184 * * [simplify]: iters left: 2 (277 enodes) 20.245 * * [simplify]: iters left: 1 (483 enodes) 20.433 * * [simplify]: Extracting #0: cost 1 inf + 0 20.434 * * [simplify]: Extracting #1: cost 16 inf + 0 20.434 * * [simplify]: Extracting #2: cost 115 inf + 0 20.436 * * [simplify]: Extracting #3: cost 226 inf + 172 20.439 * * [simplify]: Extracting #4: cost 204 inf + 4343 20.446 * * [simplify]: Extracting #5: cost 131 inf + 27246 20.462 * * [simplify]: Extracting #6: cost 12 inf + 97808 20.481 * * [simplify]: Extracting #7: cost 0 inf + 106610 20.501 * [simplify]: Simplified to (+ (/ 1 N) (/ (* 1 (+ (/ 1/3 N) -1/2)) (* N N))) 20.501 * [simplify]: Simplified (2 1 1) to (λ (N) (exp (log (+ (/ 1 N) (/ (* 1 (+ (/ 1/3 N) -1/2)) (* N N)))))) 20.502 * * * * [progress]: [ 92 / 99 ] simplifiying candidate # 20.502 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 20.502 * * [simplify]: iters left: 6 (15 enodes) 20.513 * * [simplify]: iters left: 5 (68 enodes) 20.543 * * [simplify]: iters left: 4 (114 enodes) 20.563 * * [simplify]: iters left: 3 (170 enodes) 20.603 * * [simplify]: iters left: 2 (278 enodes) 20.674 * * [simplify]: Extracting #0: cost 1 inf + 0 20.674 * * [simplify]: Extracting #1: cost 11 inf + 0 20.674 * * [simplify]: Extracting #2: cost 69 inf + 0 20.675 * * [simplify]: Extracting #3: cost 110 inf + 741 20.675 * * [simplify]: Extracting #4: cost 88 inf + 3078 20.678 * * [simplify]: Extracting #5: cost 40 inf + 17981 20.681 * * [simplify]: Extracting #6: cost 6 inf + 30433 20.684 * * [simplify]: Extracting #7: cost 0 inf + 32845 20.688 * * [simplify]: Extracting #8: cost 0 inf + 32765 20.691 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 20.691 * [simplify]: Simplified (2 1 1) to (λ (N) (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))))) 20.692 * * * * [progress]: [ 93 / 99 ] simplifiying candidate # 20.692 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 20.692 * * [simplify]: iters left: 6 (15 enodes) 20.698 * * [simplify]: iters left: 5 (68 enodes) 20.721 * * [simplify]: iters left: 4 (114 enodes) 20.747 * * [simplify]: iters left: 3 (170 enodes) 20.791 * * [simplify]: iters left: 2 (278 enodes) 20.860 * * [simplify]: Extracting #0: cost 1 inf + 0 20.860 * * [simplify]: Extracting #1: cost 11 inf + 0 20.860 * * [simplify]: Extracting #2: cost 69 inf + 0 20.861 * * [simplify]: Extracting #3: cost 110 inf + 741 20.862 * * [simplify]: Extracting #4: cost 88 inf + 3078 20.864 * * [simplify]: Extracting #5: cost 40 inf + 17981 20.867 * * [simplify]: Extracting #6: cost 6 inf + 30433 20.870 * * [simplify]: Extracting #7: cost 0 inf + 32845 20.874 * * [simplify]: Extracting #8: cost 0 inf + 32765 20.877 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 20.877 * [simplify]: Simplified (2 1 1) to (λ (N) (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))))) 20.877 * * * * [progress]: [ 94 / 99 ] simplifiying candidate # 20.878 * [simplify]: Simplifying (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 20.878 * * [simplify]: iters left: 6 (15 enodes) 20.884 * * [simplify]: iters left: 5 (68 enodes) 20.903 * * [simplify]: iters left: 4 (114 enodes) 20.936 * * [simplify]: iters left: 3 (170 enodes) 20.971 * * [simplify]: iters left: 2 (277 enodes) 21.052 * * [simplify]: iters left: 1 (483 enodes) 21.229 * * [simplify]: Extracting #0: cost 1 inf + 0 21.229 * * [simplify]: Extracting #1: cost 16 inf + 0 21.229 * * [simplify]: Extracting #2: cost 115 inf + 0 21.230 * * [simplify]: Extracting #3: cost 226 inf + 172 21.231 * * [simplify]: Extracting #4: cost 204 inf + 4343 21.234 * * [simplify]: Extracting #5: cost 131 inf + 27246 21.248 * * [simplify]: Extracting #6: cost 12 inf + 97808 21.268 * * [simplify]: Extracting #7: cost 0 inf + 106610 21.278 * [simplify]: Simplified to (+ (/ 1 N) (/ (* 1 (+ (/ 1/3 N) -1/2)) (* N N))) 21.279 * [simplify]: Simplified (2) to (λ (N) (+ (/ 1 N) (/ (* 1 (+ (/ 1/3 N) -1/2)) (* N N)))) 21.279 * * * * [progress]: [ 95 / 99 ] simplifiying candidate # 21.279 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 21.279 * * [simplify]: iters left: 6 (15 enodes) 21.285 * * [simplify]: iters left: 5 (68 enodes) 21.299 * * [simplify]: iters left: 4 (114 enodes) 21.334 * * [simplify]: iters left: 3 (170 enodes) 21.368 * * [simplify]: iters left: 2 (278 enodes) 21.427 * * [simplify]: Extracting #0: cost 1 inf + 0 21.427 * * [simplify]: Extracting #1: cost 11 inf + 0 21.427 * * [simplify]: Extracting #2: cost 69 inf + 0 21.428 * * [simplify]: Extracting #3: cost 110 inf + 741 21.430 * * [simplify]: Extracting #4: cost 88 inf + 3078 21.434 * * [simplify]: Extracting #5: cost 40 inf + 17981 21.441 * * [simplify]: Extracting #6: cost 6 inf + 30433 21.448 * * [simplify]: Extracting #7: cost 0 inf + 32845 21.454 * * [simplify]: Extracting #8: cost 0 inf + 32765 21.458 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 21.458 * [simplify]: Simplified (2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 21.458 * * * * [progress]: [ 96 / 99 ] simplifiying candidate # 21.458 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 21.458 * * [simplify]: iters left: 6 (15 enodes) 21.465 * * [simplify]: iters left: 5 (68 enodes) 21.479 * * [simplify]: iters left: 4 (114 enodes) 21.503 * * [simplify]: iters left: 3 (170 enodes) 21.535 * * [simplify]: iters left: 2 (278 enodes) 21.581 * * [simplify]: Extracting #0: cost 1 inf + 0 21.581 * * [simplify]: Extracting #1: cost 11 inf + 0 21.581 * * [simplify]: Extracting #2: cost 69 inf + 0 21.582 * * [simplify]: Extracting #3: cost 110 inf + 741 21.583 * * [simplify]: Extracting #4: cost 88 inf + 3078 21.588 * * [simplify]: Extracting #5: cost 40 inf + 17981 21.591 * * [simplify]: Extracting #6: cost 6 inf + 30433 21.594 * * [simplify]: Extracting #7: cost 0 inf + 32845 21.598 * * [simplify]: Extracting #8: cost 0 inf + 32765 21.602 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 21.602 * [simplify]: Simplified (2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 21.602 * * * * [progress]: [ 97 / 99 ] simplifiying candidate # 21.602 * [simplify]: Simplifying (/ 1/3 (pow N 2)) 21.602 * * [simplify]: iters left: 3 (5 enodes) 21.604 * * [simplify]: iters left: 2 (20 enodes) 21.608 * * [simplify]: iters left: 1 (26 enodes) 21.612 * * [simplify]: Extracting #0: cost 1 inf + 0 21.612 * * [simplify]: Extracting #1: cost 6 inf + 0 21.612 * * [simplify]: Extracting #2: cost 6 inf + 43 21.612 * * [simplify]: Extracting #3: cost 0 inf + 333 21.612 * [simplify]: Simplified to (/ 1/3 (* N N)) 21.612 * [simplify]: Simplified (2 1 1 2 1) to (λ (N) (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))))) 21.612 * * * * [progress]: [ 98 / 99 ] simplifiying candidate # 21.612 * [simplify]: Simplifying (/ 1/3 (pow N 2)) 21.612 * * [simplify]: iters left: 3 (5 enodes) 21.614 * * [simplify]: iters left: 2 (20 enodes) 21.618 * * [simplify]: iters left: 1 (26 enodes) 21.622 * * [simplify]: Extracting #0: cost 1 inf + 0 21.622 * * [simplify]: Extracting #1: cost 6 inf + 0 21.622 * * [simplify]: Extracting #2: cost 6 inf + 43 21.622 * * [simplify]: Extracting #3: cost 0 inf + 333 21.622 * [simplify]: Simplified to (/ 1/3 (* N N)) 21.622 * [simplify]: Simplified (2 1 1 2 1) to (λ (N) (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))))) 21.622 * * * * [progress]: [ 99 / 99 ] simplifiying candidate # 21.622 * [simplify]: Simplifying (/ 1/3 (pow N 2)) 21.622 * * [simplify]: iters left: 3 (5 enodes) 21.624 * * [simplify]: iters left: 2 (20 enodes) 21.628 * * [simplify]: iters left: 1 (26 enodes) 21.632 * * [simplify]: Extracting #0: cost 1 inf + 0 21.633 * * [simplify]: Extracting #1: cost 6 inf + 0 21.633 * * [simplify]: Extracting #2: cost 6 inf + 43 21.633 * * [simplify]: Extracting #3: cost 0 inf + 333 21.633 * [simplify]: Simplified to (/ 1/3 (* N N)) 21.633 * [simplify]: Simplified (2 1 1 2 1) to (λ (N) (exp (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))))) 21.633 * * * [progress]: adding candidates to table 22.307 * [progress]: [Phase 3 of 3] Extracting. 22.307 * * [regime]: Finding splitpoints for: (# # # #) 22.308 * * * [regime-changes]: Trying 1 branch expressions: (N) 22.308 * * * * [regimes]: Trying to branch on N from (# # # #) 22.338 * * * [regime]: Found split indices: #