25.767 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.058 * * * [progress]: [2/2] Setting up program. 0.064 * [progress]: [Phase 2 of 3] Improving. 0.064 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.064 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.064 * * [simplify]: Extracting # 1 : cost 3 inf + 0 0.064 * * [simplify]: Extracting # 2 : cost 5 inf + 0 0.064 * * [simplify]: Extracting # 3 : cost 5 inf + 1 0.064 * * [simplify]: Extracting # 4 : cost 0 inf + 449 0.064 * * [simplify]: iteration 0 : 6 enodes (cost 222 ) 0.066 * * [simplify]: Extracting # 0 : cost 0 inf + 449 0.067 * * [simplify]: Extracting # 1 : cost 1 inf + 449 0.067 * * [simplify]: Extracting # 2 : cost 0 inf + 560 0.067 * * [simplify]: iteration 1 : 9 enodes (cost 222 ) 0.069 * * [simplify]: Extracting # 0 : cost 0 inf + 560 0.069 * * [simplify]: iteration 2 : 10 enodes (cost 222 ) 0.071 * * [simplify]: Extracting # 0 : cost 0 inf + 560 0.072 * * [simplify]: iteration complete: 10 enodes (cost 222 ) 0.072 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.073 * * [progress]: iteration 1 / 4 0.073 * * * [progress]: picking best candidate 0.078 * * * * [pick]: Picked # 0.078 * * * [progress]: localizing error 0.096 * * * [progress]: generating rewritten candidates 0.096 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.108 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.126 * * * [progress]: generating series expansions 0.126 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.126 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.126 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.126 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.126 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.127 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.127 * [taylor]: Taking taylor expansion of N in N 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [taylor]: Taking taylor expansion of 1.0 in N 0.127 * [backup-simplify]: Simplify 1.0 into 1.0 0.127 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.128 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.128 * [taylor]: Taking taylor expansion of (log N) in N 0.128 * [taylor]: Taking taylor expansion of N in N 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (log 1) into 0 0.128 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.128 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.128 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.128 * [taylor]: Taking taylor expansion of N in N 0.128 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [taylor]: Taking taylor expansion of 1.0 in N 0.129 * [backup-simplify]: Simplify 1.0 into 1.0 0.129 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.129 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.129 * [taylor]: Taking taylor expansion of (log N) in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (log 1) into 0 0.130 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.130 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.131 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.131 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.132 * [backup-simplify]: Simplify (+ 1 0) into 1 0.137 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.138 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.138 * [backup-simplify]: Simplify (- 0) into 0 0.139 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.139 * [backup-simplify]: Simplify 1.0 into 1.0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.151 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.153 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.156 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.159 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.160 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.160 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.160 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.160 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.160 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.160 * [taylor]: Taking taylor expansion of N in N 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [taylor]: Taking taylor expansion of 1.0 in N 0.160 * [backup-simplify]: Simplify 1.0 into 1.0 0.161 * [backup-simplify]: Simplify (+ 1 0) into 1 0.161 * [backup-simplify]: Simplify (log 1) into 0 0.161 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.161 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.161 * [taylor]: Taking taylor expansion of N in N 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [backup-simplify]: Simplify (log 1) into 0 0.162 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.162 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.162 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.162 * [taylor]: Taking taylor expansion of N in N 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [taylor]: Taking taylor expansion of 1.0 in N 0.162 * [backup-simplify]: Simplify 1.0 into 1.0 0.163 * [backup-simplify]: Simplify (+ 1 0) into 1 0.163 * [backup-simplify]: Simplify (log 1) into 0 0.163 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.163 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [backup-simplify]: Simplify (log 1) into 0 0.164 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.164 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.164 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.164 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.171 * [backup-simplify]: Simplify (- 0) into 0 0.171 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.171 * [backup-simplify]: Simplify 1.0 into 1.0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.180 * [backup-simplify]: Simplify (- 0) into 0 0.181 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.181 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.202 * [backup-simplify]: Simplify (- 0) into 0 0.203 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.203 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.203 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.204 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.204 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.204 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.204 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.204 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.204 * [taylor]: Taking taylor expansion of 1.0 in N 0.204 * [backup-simplify]: Simplify 1.0 into 1.0 0.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [backup-simplify]: Simplify (- 1) into -1 0.205 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.205 * [backup-simplify]: Simplify (log -1) into (log -1) 0.205 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.205 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.205 * [taylor]: Taking taylor expansion of -1 in N 0.205 * [backup-simplify]: Simplify -1 into -1 0.205 * [taylor]: Taking taylor expansion of N in N 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (/ -1 1) into -1 0.206 * [backup-simplify]: Simplify (log -1) into (log -1) 0.206 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.206 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.206 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.206 * [taylor]: Taking taylor expansion of 1.0 in N 0.206 * [backup-simplify]: Simplify 1.0 into 1.0 0.206 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.206 * [taylor]: Taking taylor expansion of N in N 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [backup-simplify]: Simplify (- 1) into -1 0.207 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.207 * [backup-simplify]: Simplify (log -1) into (log -1) 0.207 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.207 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.207 * [taylor]: Taking taylor expansion of -1 in N 0.207 * [backup-simplify]: Simplify -1 into -1 0.207 * [taylor]: Taking taylor expansion of N in N 0.207 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ -1 1) into -1 0.208 * [backup-simplify]: Simplify (log -1) into (log -1) 0.209 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.209 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.210 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.210 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (- 0) into 0 0.211 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.217 * [backup-simplify]: Simplify (- 0) into 0 0.217 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.218 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (- 0) into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.231 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.231 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (- 0) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 0.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [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 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.247 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.248 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.248 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.248 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.248 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.248 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.248 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.248 * [taylor]: Taking taylor expansion of N in N 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of 1.0 in N 0.248 * [backup-simplify]: Simplify 1.0 into 1.0 0.249 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.249 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.249 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.249 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.249 * [taylor]: Taking taylor expansion of N in N 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of 1.0 in N 0.249 * [backup-simplify]: Simplify 1.0 into 1.0 0.249 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.250 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.250 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.250 * [backup-simplify]: Simplify (+ 1 0) into 1 0.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.253 * [backup-simplify]: Simplify 1.0 into 1.0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.260 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.261 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.261 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.261 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.261 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.261 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.261 * [taylor]: Taking taylor expansion of N in N 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.261 * [taylor]: Taking taylor expansion of 1.0 in N 0.261 * [backup-simplify]: Simplify 1.0 into 1.0 0.261 * [backup-simplify]: Simplify (+ 1 0) into 1 0.262 * [backup-simplify]: Simplify (log 1) into 0 0.262 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.262 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.262 * [taylor]: Taking taylor expansion of N in N 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (/ 1 1) into 1 0.262 * [taylor]: Taking taylor expansion of 1.0 in N 0.262 * [backup-simplify]: Simplify 1.0 into 1.0 0.262 * [backup-simplify]: Simplify (+ 1 0) into 1 0.263 * [backup-simplify]: Simplify (log 1) into 0 0.263 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.263 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.267 * [backup-simplify]: Simplify 1.0 into 1.0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.274 * [backup-simplify]: Simplify -0.5 into -0.5 0.274 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.274 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.274 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.275 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.275 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.275 * [taylor]: Taking taylor expansion of 1.0 in N 0.275 * [backup-simplify]: Simplify 1.0 into 1.0 0.275 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.275 * [taylor]: Taking taylor expansion of N in N 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [backup-simplify]: Simplify (- 1) into -1 0.275 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.276 * [backup-simplify]: Simplify (log -1) into (log -1) 0.276 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.276 * [taylor]: Taking taylor expansion of 1.0 in N 0.276 * [backup-simplify]: Simplify 1.0 into 1.0 0.276 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.276 * [taylor]: Taking taylor expansion of N in N 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [backup-simplify]: Simplify (- 1) into -1 0.277 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.277 * [backup-simplify]: Simplify (log -1) into (log -1) 0.277 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.278 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.282 * [backup-simplify]: Simplify -1.0 into -1.0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.290 * [backup-simplify]: Simplify -0.5 into -0.5 0.290 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.291 * * * [progress]: simplifying candidates 0.292 * [simplify]: Simplifying: (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.293 * * [simplify]: Extracting # 0 : cost 58 inf + 0 0.293 * * [simplify]: Extracting # 1 : cost 96 inf + 0 0.293 * * [simplify]: Extracting # 2 : cost 111 inf + 519 0.293 * * [simplify]: Extracting # 3 : cost 85 inf + 5176 0.294 * * [simplify]: Extracting # 4 : cost 44 inf + 13869 0.296 * * [simplify]: Extracting # 5 : cost 17 inf + 22264 0.297 * * [simplify]: Extracting # 6 : cost 11 inf + 23589 0.299 * * [simplify]: Extracting # 7 : cost 7 inf + 25544 0.301 * * [simplify]: Extracting # 8 : cost 1 inf + 29274 0.303 * * [simplify]: Extracting # 9 : cost 0 inf + 29799 0.305 * * [simplify]: iteration 0 : 127 enodes (cost 27370 ) 0.350 * * [simplify]: Extracting # 0 : cost 0 inf + 29799 0.352 * * [simplify]: Extracting # 1 : cost 48 inf + 27707 0.356 * * [simplify]: Extracting # 2 : cost 6 inf + 33232 0.360 * * [simplify]: Extracting # 3 : cost 1 inf + 31857 0.363 * * [simplify]: Extracting # 4 : cost 0 inf + 31627 0.367 * * [simplify]: iteration 1 : 286 enodes (cost 23011 ) 0.471 * * [simplify]: Extracting # 0 : cost 0 inf + 31627 0.478 * * [simplify]: Extracting # 1 : cost 124 inf + 29124 0.487 * * [simplify]: Extracting # 2 : cost 5 inf + 49547 0.500 * * [simplify]: Extracting # 3 : cost 1 inf + 50061 0.512 * * [simplify]: Extracting # 4 : cost 0 inf + 50384 0.521 * * [simplify]: iteration 2 : 708 enodes (cost 19772 ) 0.931 * * [simplify]: Extracting # 0 : cost 0 inf + 50384 0.965 * * [simplify]: Extracting # 1 : cost 363 inf + 49071 1.021 * * [simplify]: Extracting # 2 : cost 21 inf + 121972 1.073 * * [simplify]: Extracting # 3 : cost 0 inf + 124473 1.118 * * [simplify]: Extracting # 4 : cost 0 inf + 124409 1.150 * * [simplify]: iteration 3 : 2040 enodes (cost 19411 ) 2.587 * * [simplify]: Extracting # 0 : cost 0 inf + 124409 2.699 * * [simplify]: Extracting # 1 : cost 907 inf + 117431 2.800 * * [simplify]: Extracting # 2 : cost 95 inf + 330312 2.952 * * [simplify]: Extracting # 3 : cost 19 inf + 339803 3.075 * * [simplify]: Extracting # 4 : cost 0 inf + 346315 3.235 * * [simplify]: iteration complete: 5001 enodes (cost 16861 ) 3.236 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (* (log (+ N 1.0)) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (log N) (* (log N) (log N)))) (fma (log (+ N 1.0)) (log (+ N 1.0)) (* (log N) (+ (log N) (log (+ N 1.0))))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (fma -2 (log (cbrt N)) (log (+ N 1.0))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (fma N N (* 1.0 (- 1.0 N)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (fma 1.0 (* 1.0 1.0) (* N (* N N)))) (log (fma N N (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (log (+ N 1.0)) (* (log (+ N 1.0)) (log (+ N 1.0)))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (fma 1.0 N (log 1.0))) (log N)) (- (+ (/ 0.3333333333333333 (* N (* N N))) (/ 1.0 N)) (/ 0.5 (* N N))) (- (+ (/ 0.3333333333333333 (* N (* N N))) (/ 1.0 N)) (/ 0.5 (* N N))) (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (fma 1.0 N (log 1.0))) (+ (/ 1.0 N) (- (log N) (/ 0.5 (* N N)))) (+ (- 0 (/ 0.5 (* N N))) (+ (log N) (/ 1.0 N))) 3.242 * * * [progress]: adding candidates to table 3.475 * * [progress]: iteration 2 / 4 3.476 * * * [progress]: picking best candidate 3.493 * * * * [pick]: Picked # 3.494 * * * [progress]: localizing error 3.507 * * * [progress]: generating rewritten candidates 3.507 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.516 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.545 * * * [progress]: generating series expansions 3.545 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.545 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 3.545 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 3.545 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.545 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.545 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.545 * [taylor]: Taking taylor expansion of N in N 3.545 * [backup-simplify]: Simplify 0 into 0 3.545 * [backup-simplify]: Simplify 1 into 1 3.545 * [taylor]: Taking taylor expansion of 1.0 in N 3.545 * [backup-simplify]: Simplify 1.0 into 1.0 3.545 * [taylor]: Taking taylor expansion of N in N 3.545 * [backup-simplify]: Simplify 0 into 0 3.546 * [backup-simplify]: Simplify 1 into 1 3.546 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.547 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.547 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.547 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.547 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.547 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.547 * [taylor]: Taking taylor expansion of N in N 3.547 * [backup-simplify]: Simplify 0 into 0 3.547 * [backup-simplify]: Simplify 1 into 1 3.547 * [taylor]: Taking taylor expansion of 1.0 in N 3.547 * [backup-simplify]: Simplify 1.0 into 1.0 3.547 * [taylor]: Taking taylor expansion of N in N 3.547 * [backup-simplify]: Simplify 0 into 0 3.547 * [backup-simplify]: Simplify 1 into 1 3.548 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.548 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.549 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.550 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.550 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 3.550 * [backup-simplify]: Simplify (+ 1 0) into 1 3.551 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.557 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.557 * [backup-simplify]: Simplify 1.0 into 1.0 3.557 * [backup-simplify]: Simplify (+ 0 0) into 0 3.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.569 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 3.571 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 3.572 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 3.573 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 3.573 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 3.573 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.573 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.573 * [taylor]: Taking taylor expansion of N in N 3.573 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify 1 into 1 3.573 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.573 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.573 * [taylor]: Taking taylor expansion of N in N 3.573 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify 1 into 1 3.577 * [backup-simplify]: Simplify (/ 1 1) into 1 3.577 * [taylor]: Taking taylor expansion of 1.0 in N 3.577 * [backup-simplify]: Simplify 1.0 into 1.0 3.578 * [backup-simplify]: Simplify (+ 1 0) into 1 3.578 * [backup-simplify]: Simplify (* 0 1) into 0 3.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.579 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.580 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.580 * [backup-simplify]: Simplify (log 1) into 0 3.581 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.581 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.581 * [taylor]: Taking taylor expansion of N in N 3.581 * [backup-simplify]: Simplify 0 into 0 3.581 * [backup-simplify]: Simplify 1 into 1 3.581 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.581 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.581 * [taylor]: Taking taylor expansion of N in N 3.581 * [backup-simplify]: Simplify 0 into 0 3.581 * [backup-simplify]: Simplify 1 into 1 3.581 * [backup-simplify]: Simplify (/ 1 1) into 1 3.581 * [taylor]: Taking taylor expansion of 1.0 in N 3.581 * [backup-simplify]: Simplify 1.0 into 1.0 3.582 * [backup-simplify]: Simplify (+ 1 0) into 1 3.582 * [backup-simplify]: Simplify (* 0 1) into 0 3.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.583 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.584 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.585 * [backup-simplify]: Simplify (log 1) into 0 3.585 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.586 * [backup-simplify]: Simplify (+ 0 0) into 0 3.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.595 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.595 * [backup-simplify]: Simplify 1.0 into 1.0 3.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.597 * [backup-simplify]: Simplify (+ 0 0) into 0 3.598 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.608 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.608 * [backup-simplify]: Simplify -0.5 into -0.5 3.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.609 * [backup-simplify]: Simplify (+ 0 0) into 0 3.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.620 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 3.620 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.620 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.620 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 3.620 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 3.620 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.620 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.620 * [taylor]: Taking taylor expansion of -1 in N 3.620 * [backup-simplify]: Simplify -1 into -1 3.620 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.620 * [taylor]: Taking taylor expansion of N in N 3.620 * [backup-simplify]: Simplify 0 into 0 3.620 * [backup-simplify]: Simplify 1 into 1 3.620 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.620 * [taylor]: Taking taylor expansion of 1.0 in N 3.620 * [backup-simplify]: Simplify 1.0 into 1.0 3.620 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.620 * [taylor]: Taking taylor expansion of N in N 3.620 * [backup-simplify]: Simplify 0 into 0 3.620 * [backup-simplify]: Simplify 1 into 1 3.621 * [backup-simplify]: Simplify (/ 1 1) into 1 3.621 * [backup-simplify]: Simplify (- 1) into -1 3.621 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.621 * [backup-simplify]: Simplify (* 0 -1) into 0 3.622 * [backup-simplify]: Simplify (* -1 0) into 0 3.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.622 * [backup-simplify]: Simplify (- 0) into 0 3.623 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.623 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.623 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.624 * [backup-simplify]: Simplify (log 1) into 0 3.624 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.624 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.624 * [taylor]: Taking taylor expansion of -1 in N 3.624 * [backup-simplify]: Simplify -1 into -1 3.624 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.624 * [taylor]: Taking taylor expansion of N in N 3.624 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify 1 into 1 3.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.624 * [taylor]: Taking taylor expansion of 1.0 in N 3.624 * [backup-simplify]: Simplify 1.0 into 1.0 3.624 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.624 * [taylor]: Taking taylor expansion of N in N 3.624 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify 1 into 1 3.624 * [backup-simplify]: Simplify (/ 1 1) into 1 3.624 * [backup-simplify]: Simplify (- 1) into -1 3.625 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.625 * [backup-simplify]: Simplify (* 0 -1) into 0 3.625 * [backup-simplify]: Simplify (* -1 0) into 0 3.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.626 * [backup-simplify]: Simplify (- 0) into 0 3.626 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.626 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.627 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.627 * [backup-simplify]: Simplify (log 1) into 0 3.627 * [backup-simplify]: Simplify 0 into 0 3.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.628 * [backup-simplify]: Simplify (- 0) into 0 3.628 * [backup-simplify]: Simplify (+ 0 0) into 0 3.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.631 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.635 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 3.635 * [backup-simplify]: Simplify -1.0 into -1.0 3.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.636 * [backup-simplify]: Simplify (- 0) into 0 3.636 * [backup-simplify]: Simplify (+ 0 0) into 0 3.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.638 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.644 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.645 * [backup-simplify]: Simplify -0.5 into -0.5 3.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.645 * [backup-simplify]: Simplify (- 0) into 0 3.646 * [backup-simplify]: Simplify (+ 0 0) into 0 3.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.648 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.667 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 3.667 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.668 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.668 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.668 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 3.668 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 3.668 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.668 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.668 * [taylor]: Taking taylor expansion of N in N 3.668 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify 1 into 1 3.668 * [taylor]: Taking taylor expansion of 1.0 in N 3.668 * [backup-simplify]: Simplify 1.0 into 1.0 3.668 * [taylor]: Taking taylor expansion of N in N 3.668 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify 1 into 1 3.669 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.669 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.669 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.669 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.669 * [taylor]: Taking taylor expansion of N in N 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify 1 into 1 3.669 * [taylor]: Taking taylor expansion of 1.0 in N 3.669 * [backup-simplify]: Simplify 1.0 into 1.0 3.669 * [taylor]: Taking taylor expansion of N in N 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify 1 into 1 3.670 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.670 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.670 * [backup-simplify]: Simplify 1.0 into 1.0 3.671 * [backup-simplify]: Simplify (+ 1 0) into 1 3.672 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.672 * [backup-simplify]: Simplify 1 into 1 3.672 * [backup-simplify]: Simplify (+ 0 0) into 0 3.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.673 * [backup-simplify]: Simplify 0 into 0 3.673 * [backup-simplify]: Simplify (+ 0 0) into 0 3.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify (+ 0 0) into 0 3.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.676 * [backup-simplify]: Simplify 0 into 0 3.676 * [backup-simplify]: Simplify (+ 0 0) into 0 3.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify (+ 0 0) into 0 3.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.679 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify (+ 0 0) into 0 3.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 3.681 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 3.681 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 3.681 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.681 * [taylor]: Taking taylor expansion of N in N 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify 1 into 1 3.681 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.681 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.681 * [taylor]: Taking taylor expansion of N in N 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify 1 into 1 3.682 * [backup-simplify]: Simplify (/ 1 1) into 1 3.682 * [taylor]: Taking taylor expansion of 1.0 in N 3.682 * [backup-simplify]: Simplify 1.0 into 1.0 3.682 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.682 * [taylor]: Taking taylor expansion of N in N 3.682 * [backup-simplify]: Simplify 0 into 0 3.682 * [backup-simplify]: Simplify 1 into 1 3.682 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.682 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.682 * [taylor]: Taking taylor expansion of N in N 3.682 * [backup-simplify]: Simplify 0 into 0 3.682 * [backup-simplify]: Simplify 1 into 1 3.682 * [backup-simplify]: Simplify (/ 1 1) into 1 3.682 * [taylor]: Taking taylor expansion of 1.0 in N 3.682 * [backup-simplify]: Simplify 1.0 into 1.0 3.683 * [backup-simplify]: Simplify (+ 1 0) into 1 3.683 * [backup-simplify]: Simplify (* 0 1) into 0 3.683 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.684 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.685 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.685 * [backup-simplify]: Simplify 1 into 1 3.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.689 * [backup-simplify]: Simplify (+ 0 0) into 0 3.691 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.691 * [backup-simplify]: Simplify 1.0 into 1.0 3.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.693 * [backup-simplify]: Simplify (+ 0 0) into 0 3.694 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.694 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.695 * [backup-simplify]: Simplify (+ 0 0) into 0 3.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.696 * [backup-simplify]: Simplify (+ 0 0) into 0 3.697 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 3.697 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.698 * [backup-simplify]: Simplify (+ 0 0) into 0 3.699 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 3.699 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.700 * [backup-simplify]: Simplify (+ 0 0) into 0 3.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.702 * [backup-simplify]: Simplify (+ 0 0) into 0 3.703 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 3.703 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 3.703 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 3.703 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 3.703 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.703 * [taylor]: Taking taylor expansion of -1 in N 3.703 * [backup-simplify]: Simplify -1 into -1 3.703 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.703 * [taylor]: Taking taylor expansion of N in N 3.703 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify 1 into 1 3.703 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.703 * [taylor]: Taking taylor expansion of 1.0 in N 3.703 * [backup-simplify]: Simplify 1.0 into 1.0 3.703 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.703 * [taylor]: Taking taylor expansion of N in N 3.703 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify 1 into 1 3.704 * [backup-simplify]: Simplify (/ 1 1) into 1 3.704 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.704 * [taylor]: Taking taylor expansion of -1 in N 3.704 * [backup-simplify]: Simplify -1 into -1 3.704 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.704 * [taylor]: Taking taylor expansion of N in N 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 1 into 1 3.704 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.704 * [taylor]: Taking taylor expansion of 1.0 in N 3.704 * [backup-simplify]: Simplify 1.0 into 1.0 3.704 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.704 * [taylor]: Taking taylor expansion of N in N 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 1 into 1 3.704 * [backup-simplify]: Simplify (/ 1 1) into 1 3.704 * [backup-simplify]: Simplify (- 1) into -1 3.705 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.705 * [backup-simplify]: Simplify (* 0 -1) into 0 3.705 * [backup-simplify]: Simplify (* -1 0) into 0 3.705 * [backup-simplify]: Simplify 0 into 0 3.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.706 * [backup-simplify]: Simplify (- 0) into 0 3.706 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.707 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.707 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.707 * [backup-simplify]: Simplify 1 into 1 3.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.708 * [backup-simplify]: Simplify (- 0) into 0 3.708 * [backup-simplify]: Simplify (+ 0 0) into 0 3.710 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.711 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.711 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.712 * [backup-simplify]: Simplify (- 0) into 0 3.712 * [backup-simplify]: Simplify (+ 0 0) into 0 3.713 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.714 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.714 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.715 * [backup-simplify]: Simplify (- 0) into 0 3.715 * [backup-simplify]: Simplify (+ 0 0) into 0 3.716 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.717 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.718 * [backup-simplify]: Simplify (- 0) into 0 3.718 * [backup-simplify]: Simplify (+ 0 0) into 0 3.719 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 3.720 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 3.720 * [backup-simplify]: Simplify 0 into 0 3.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.720 * [backup-simplify]: Simplify (- 0) into 0 3.721 * [backup-simplify]: Simplify (+ 0 0) into 0 3.722 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 3.723 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 3.723 * [backup-simplify]: Simplify 0 into 0 3.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.724 * [backup-simplify]: Simplify (- 0) into 0 3.725 * [backup-simplify]: Simplify (+ 0 0) into 0 3.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 3.729 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 3.729 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.731 * [backup-simplify]: Simplify (- 0) into 0 3.731 * [backup-simplify]: Simplify (+ 0 0) into 0 3.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 3.737 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 3.737 * [backup-simplify]: Simplify 0 into 0 3.738 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 3.738 * * * [progress]: simplifying candidates 3.741 * [simplify]: Simplifying: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 3.743 * * [simplify]: Extracting # 0 : cost 71 inf + 0 3.743 * * [simplify]: Extracting # 1 : cost 91 inf + 0 3.743 * * [simplify]: Extracting # 2 : cost 96 inf + 155 3.744 * * [simplify]: Extracting # 3 : cost 75 inf + 3682 3.746 * * [simplify]: Extracting # 4 : cost 29 inf + 11631 3.748 * * [simplify]: Extracting # 5 : cost 16 inf + 14340 3.750 * * [simplify]: Extracting # 6 : cost 9 inf + 16176 3.752 * * [simplify]: Extracting # 7 : cost 3 inf + 18606 3.753 * * [simplify]: Extracting # 8 : cost 2 inf + 18900 3.754 * * [simplify]: Extracting # 9 : cost 0 inf + 20062 3.756 * * [simplify]: iteration 0 : 112 enodes (cost 18709 ) 3.779 * * [simplify]: Extracting # 0 : cost 0 inf + 20062 3.781 * * [simplify]: Extracting # 1 : cost 46 inf + 17955 3.785 * * [simplify]: Extracting # 2 : cost 2 inf + 23569 3.791 * * [simplify]: Extracting # 3 : cost 0 inf + 23020 3.799 * * [simplify]: iteration 1 : 252 enodes (cost 16599 ) 3.910 * * [simplify]: Extracting # 0 : cost 0 inf + 23020 3.918 * * [simplify]: Extracting # 1 : cost 120 inf + 22019 3.933 * * [simplify]: Extracting # 2 : cost 4 inf + 40692 3.946 * * [simplify]: Extracting # 3 : cost 1 inf + 40097 3.959 * * [simplify]: Extracting # 4 : cost 0 inf + 40269 3.973 * * [simplify]: iteration 2 : 629 enodes (cost 16217 ) 4.461 * * [simplify]: Extracting # 0 : cost 0 inf + 40269 4.478 * * [simplify]: Extracting # 1 : cost 695 inf + 39337 4.523 * * [simplify]: Extracting # 2 : cost 48 inf + 132737 4.555 * * [simplify]: Extracting # 3 : cost 2 inf + 142971 4.590 * * [simplify]: Extracting # 4 : cost 0 inf + 143354 4.638 * * [simplify]: iteration 3 : 2337 enodes (cost 16217 ) 5.680 * * [simplify]: Extracting # 0 : cost 0 inf + 143354 5.774 * * [simplify]: Extracting # 1 : cost 1021 inf + 139891 5.873 * * [simplify]: Extracting # 2 : cost 83 inf + 293942 5.987 * * [simplify]: Extracting # 3 : cost 33 inf + 300773 6.093 * * [simplify]: Extracting # 4 : cost 1 inf + 307080 6.188 * * [simplify]: Extracting # 5 : cost 0 inf + 307333 6.322 * * [simplify]: iteration complete: 5001 enodes (cost 16217 ) 6.323 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (* (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ 1.0 N))) (log (/ (sqrt (+ N 1.0)) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (* (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (cbrt (+ N 1.0)) (cbrt N))) (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ 1.0 N)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ 1.0 N)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* (fma N N (* 1.0 (- 1.0 N))) N) (* N (- N 1.0)) (- (fma N 1.0 (log 1.0)) (fma (* (/ N 1.0) (/ N 1.0)) 1/2 (log N))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 6.329 * * * [progress]: adding candidates to table 6.634 * * [progress]: iteration 3 / 4 6.634 * * * [progress]: picking best candidate 6.645 * * * * [pick]: Picked # 6.645 * * * [progress]: localizing error 6.695 * * * [progress]: generating rewritten candidates 6.695 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 6.803 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 6.807 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 6.812 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 6.821 * * * [progress]: generating series expansions 6.821 * * * * [progress]: [ 1 / 4 ] generating series at (2) 6.821 * [backup-simplify]: Simplify (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)))) into (log (/ (+ N 1.0) N)) 6.822 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 6.822 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.822 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.822 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.822 * [taylor]: Taking taylor expansion of N in N 6.822 * [backup-simplify]: Simplify 0 into 0 6.822 * [backup-simplify]: Simplify 1 into 1 6.822 * [taylor]: Taking taylor expansion of 1.0 in N 6.822 * [backup-simplify]: Simplify 1.0 into 1.0 6.822 * [taylor]: Taking taylor expansion of N in N 6.822 * [backup-simplify]: Simplify 0 into 0 6.822 * [backup-simplify]: Simplify 1 into 1 6.823 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.823 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.824 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.824 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.824 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.824 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.824 * [taylor]: Taking taylor expansion of N in N 6.824 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify 1 into 1 6.824 * [taylor]: Taking taylor expansion of 1.0 in N 6.824 * [backup-simplify]: Simplify 1.0 into 1.0 6.824 * [taylor]: Taking taylor expansion of N in N 6.824 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify 1 into 1 6.824 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.825 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.825 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.826 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.826 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 6.827 * [backup-simplify]: Simplify (+ 1 0) into 1 6.831 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 6.836 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.836 * [backup-simplify]: Simplify 1.0 into 1.0 6.837 * [backup-simplify]: Simplify (+ 0 0) into 0 6.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.848 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 6.849 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 6.851 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 6.851 * [backup-simplify]: Simplify (log (* (* (cbrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) (cbrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) (cbrt (/ (+ (/ 1 N) 1.0) (/ 1 N))))) into (log (* N (+ (/ 1 N) 1.0))) 6.851 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 6.851 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.851 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.851 * [taylor]: Taking taylor expansion of N in N 6.851 * [backup-simplify]: Simplify 0 into 0 6.851 * [backup-simplify]: Simplify 1 into 1 6.851 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.851 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.851 * [taylor]: Taking taylor expansion of N in N 6.852 * [backup-simplify]: Simplify 0 into 0 6.852 * [backup-simplify]: Simplify 1 into 1 6.852 * [backup-simplify]: Simplify (/ 1 1) into 1 6.852 * [taylor]: Taking taylor expansion of 1.0 in N 6.852 * [backup-simplify]: Simplify 1.0 into 1.0 6.852 * [backup-simplify]: Simplify (+ 1 0) into 1 6.853 * [backup-simplify]: Simplify (* 0 1) into 0 6.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.854 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.855 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.855 * [backup-simplify]: Simplify (log 1) into 0 6.855 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.855 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.855 * [taylor]: Taking taylor expansion of N in N 6.855 * [backup-simplify]: Simplify 0 into 0 6.855 * [backup-simplify]: Simplify 1 into 1 6.855 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.855 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.855 * [taylor]: Taking taylor expansion of N in N 6.855 * [backup-simplify]: Simplify 0 into 0 6.855 * [backup-simplify]: Simplify 1 into 1 6.856 * [backup-simplify]: Simplify (/ 1 1) into 1 6.856 * [taylor]: Taking taylor expansion of 1.0 in N 6.856 * [backup-simplify]: Simplify 1.0 into 1.0 6.856 * [backup-simplify]: Simplify (+ 1 0) into 1 6.857 * [backup-simplify]: Simplify (* 0 1) into 0 6.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.858 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.858 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.859 * [backup-simplify]: Simplify (log 1) into 0 6.859 * [backup-simplify]: Simplify 0 into 0 6.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.860 * [backup-simplify]: Simplify (+ 0 0) into 0 6.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.869 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.869 * [backup-simplify]: Simplify 1.0 into 1.0 6.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.871 * [backup-simplify]: Simplify (+ 0 0) into 0 6.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 6.885 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 6.885 * [backup-simplify]: Simplify -0.5 into -0.5 6.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.886 * [backup-simplify]: Simplify (+ 0 0) into 0 6.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 6.905 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 6.905 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.906 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.907 * [backup-simplify]: Simplify (log (* (* (cbrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (cbrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) (cbrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (log (* N (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N))))) 6.907 * [approximate]: Taking taylor expansion of (log (* N (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N))))) in (N) around 0 6.907 * [taylor]: Taking taylor expansion of (log (* N (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N))))) in N 6.907 * [taylor]: Taking taylor expansion of (* N (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N)))) in N 6.907 * [taylor]: Taking taylor expansion of N in N 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify 1 into 1 6.907 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N))) in N 6.907 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in N 6.907 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.907 * [taylor]: Taking taylor expansion of -1 in N 6.907 * [backup-simplify]: Simplify -1 into -1 6.908 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.909 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.909 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.909 * [taylor]: Taking taylor expansion of 1.0 in N 6.909 * [backup-simplify]: Simplify 1.0 into 1.0 6.909 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.909 * [taylor]: Taking taylor expansion of N in N 6.909 * [backup-simplify]: Simplify 0 into 0 6.909 * [backup-simplify]: Simplify 1 into 1 6.909 * [backup-simplify]: Simplify (/ 1 1) into 1 6.911 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.913 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 6.913 * [backup-simplify]: Simplify (- 1) into -1 6.914 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.915 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) -1) into 1 6.916 * [backup-simplify]: Simplify (* 0 1) into 0 6.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.917 * [backup-simplify]: Simplify (- 0) into 0 6.917 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.918 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.919 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (cbrt -1) 2))) into 0 6.922 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 1.0) (* 0 -1)) into (- 1.0) 6.923 * [backup-simplify]: Simplify (+ (* 0 (- 1.0)) (* 1 1)) into 1 6.924 * [backup-simplify]: Simplify (log 1) into 0 6.924 * [taylor]: Taking taylor expansion of (log (* N (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N))))) in N 6.924 * [taylor]: Taking taylor expansion of (* N (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N)))) in N 6.924 * [taylor]: Taking taylor expansion of N in N 6.924 * [backup-simplify]: Simplify 0 into 0 6.924 * [backup-simplify]: Simplify 1 into 1 6.924 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N))) in N 6.924 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in N 6.924 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.924 * [taylor]: Taking taylor expansion of -1 in N 6.924 * [backup-simplify]: Simplify -1 into -1 6.924 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.925 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.925 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.925 * [taylor]: Taking taylor expansion of 1.0 in N 6.925 * [backup-simplify]: Simplify 1.0 into 1.0 6.925 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.925 * [taylor]: Taking taylor expansion of N in N 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify 1 into 1 6.926 * [backup-simplify]: Simplify (/ 1 1) into 1 6.927 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.929 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 6.929 * [backup-simplify]: Simplify (- 1) into -1 6.930 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.932 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) -1) into 1 6.932 * [backup-simplify]: Simplify (* 0 1) into 0 6.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.933 * [backup-simplify]: Simplify (- 0) into 0 6.933 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.934 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.935 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (cbrt -1) 2))) into 0 6.938 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 1.0) (* 0 -1)) into (- 1.0) 6.939 * [backup-simplify]: Simplify (+ (* 0 (- 1.0)) (* 1 1)) into 1 6.940 * [backup-simplify]: Simplify (log 1) into 0 6.940 * [backup-simplify]: Simplify 0 into 0 6.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.941 * [backup-simplify]: Simplify (- 0) into 0 6.941 * [backup-simplify]: Simplify (+ 0 0) into 0 6.943 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.943 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.944 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 6.945 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 1.0) (* 0 -1))) into 0 6.947 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 1.0)) (* 0 1))) into (- 1.0) 6.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 6.951 * [backup-simplify]: Simplify -1.0 into -1.0 6.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.952 * [backup-simplify]: Simplify (- 0) into 0 6.952 * [backup-simplify]: Simplify (+ 0 0) into 0 6.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.954 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 6.955 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 6.956 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 6.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 1.0)) (* 0 1)))) into 0 6.966 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 6.966 * [backup-simplify]: Simplify -0.5 into -0.5 6.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.967 * [backup-simplify]: Simplify (- 0) into 0 6.967 * [backup-simplify]: Simplify (+ 0 0) into 0 6.968 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.969 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 6.970 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))))) into 0 6.972 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 6.973 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 1.0)) (* 0 1))))) into 0 6.985 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 6.985 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.985 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.985 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 6.986 * [backup-simplify]: Simplify (cbrt (/ (+ N 1.0) N)) into (pow (/ (+ N 1.0) N) 1/3) 6.986 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 6.986 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 6.986 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 6.986 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 6.986 * [taylor]: Taking taylor expansion of 1/3 in N 6.986 * [backup-simplify]: Simplify 1/3 into 1/3 6.986 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.986 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.986 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.986 * [taylor]: Taking taylor expansion of N in N 6.986 * [backup-simplify]: Simplify 0 into 0 6.986 * [backup-simplify]: Simplify 1 into 1 6.986 * [taylor]: Taking taylor expansion of 1.0 in N 6.986 * [backup-simplify]: Simplify 1.0 into 1.0 6.986 * [taylor]: Taking taylor expansion of N in N 6.986 * [backup-simplify]: Simplify 0 into 0 6.986 * [backup-simplify]: Simplify 1 into 1 6.986 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.986 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.987 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.987 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.988 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 6.988 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 6.988 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 6.988 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 6.988 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 6.988 * [taylor]: Taking taylor expansion of 1/3 in N 6.988 * [backup-simplify]: Simplify 1/3 into 1/3 6.988 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.988 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.988 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.988 * [taylor]: Taking taylor expansion of N in N 6.988 * [backup-simplify]: Simplify 0 into 0 6.988 * [backup-simplify]: Simplify 1 into 1 6.988 * [taylor]: Taking taylor expansion of 1.0 in N 6.988 * [backup-simplify]: Simplify 1.0 into 1.0 6.988 * [taylor]: Taking taylor expansion of N in N 6.988 * [backup-simplify]: Simplify 0 into 0 6.988 * [backup-simplify]: Simplify 1 into 1 6.988 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.989 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.989 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.990 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.990 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 6.990 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 6.990 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 6.991 * [backup-simplify]: Simplify (+ 1 0) into 1 6.991 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 6.994 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.995 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.995 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log 1.0) (log N)))) into 0.3333333333333333 6.997 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) 6.997 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) 6.998 * [backup-simplify]: Simplify (+ 0 0) into 0 6.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.004 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 7.004 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.006 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 7.014 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.017 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.022 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) N) (exp (* 1/3 (- (log 1.0) (log N)))))) into (- (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (+ (* 0.05555555555555555 (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N)))))) (exp (* 1/3 (- (log 1.0) (log N)))))) (* 1/6 (/ (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N))))) (pow 1.0 2)))) 7.023 * [backup-simplify]: Simplify (cbrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (* N (+ (/ 1 N) 1.0)) 1/3) 7.023 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 7.023 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 7.023 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 7.023 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 7.023 * [taylor]: Taking taylor expansion of 1/3 in N 7.023 * [backup-simplify]: Simplify 1/3 into 1/3 7.023 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.023 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.023 * [taylor]: Taking taylor expansion of N in N 7.023 * [backup-simplify]: Simplify 0 into 0 7.023 * [backup-simplify]: Simplify 1 into 1 7.023 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.023 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.023 * [taylor]: Taking taylor expansion of N in N 7.023 * [backup-simplify]: Simplify 0 into 0 7.023 * [backup-simplify]: Simplify 1 into 1 7.024 * [backup-simplify]: Simplify (/ 1 1) into 1 7.024 * [taylor]: Taking taylor expansion of 1.0 in N 7.024 * [backup-simplify]: Simplify 1.0 into 1.0 7.024 * [backup-simplify]: Simplify (+ 1 0) into 1 7.025 * [backup-simplify]: Simplify (* 0 1) into 0 7.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.026 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.027 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.028 * [backup-simplify]: Simplify (log 1) into 0 7.028 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.029 * [backup-simplify]: Simplify (+ 0 0) into 0 7.032 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.039 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.040 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 7.041 * [backup-simplify]: Simplify (exp 0) into 1 7.041 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 7.041 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 7.041 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 7.041 * [taylor]: Taking taylor expansion of 1/3 in N 7.041 * [backup-simplify]: Simplify 1/3 into 1/3 7.041 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.041 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.041 * [taylor]: Taking taylor expansion of N in N 7.041 * [backup-simplify]: Simplify 0 into 0 7.041 * [backup-simplify]: Simplify 1 into 1 7.041 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.041 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.041 * [taylor]: Taking taylor expansion of N in N 7.041 * [backup-simplify]: Simplify 0 into 0 7.041 * [backup-simplify]: Simplify 1 into 1 7.041 * [backup-simplify]: Simplify (/ 1 1) into 1 7.041 * [taylor]: Taking taylor expansion of 1.0 in N 7.041 * [backup-simplify]: Simplify 1.0 into 1.0 7.042 * [backup-simplify]: Simplify (+ 1 0) into 1 7.042 * [backup-simplify]: Simplify (* 0 1) into 0 7.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.043 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.044 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.045 * [backup-simplify]: Simplify (log 1) into 0 7.045 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.046 * [backup-simplify]: Simplify (+ 0 0) into 0 7.049 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.055 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.057 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 7.057 * [backup-simplify]: Simplify (exp 0) into 1 7.057 * [backup-simplify]: Simplify 1 into 1 7.060 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333 7.061 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.062 * [backup-simplify]: Simplify (+ 0 0) into 0 7.063 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 7.077 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 7.079 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.16666666666666666) 7.087 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into -0.1111111111111111 7.087 * [backup-simplify]: Simplify -0.1111111111111111 into -0.1111111111111111 7.088 * [backup-simplify]: Simplify (+ (* -0.1111111111111111 (pow (/ 1 N) 2)) (+ (* 0.3333333333333333 (/ 1 N)) 1)) into (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) 7.088 * [backup-simplify]: Simplify (cbrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) 7.088 * [approximate]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) in (N) around 0 7.088 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) in N 7.088 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 7.088 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 7.088 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 7.088 * [taylor]: Taking taylor expansion of 1/3 in N 7.088 * [backup-simplify]: Simplify 1/3 into 1/3 7.088 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 7.088 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.088 * [taylor]: Taking taylor expansion of N in N 7.088 * [backup-simplify]: Simplify 0 into 0 7.088 * [backup-simplify]: Simplify 1 into 1 7.088 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.088 * [taylor]: Taking taylor expansion of 1.0 in N 7.088 * [backup-simplify]: Simplify 1.0 into 1.0 7.088 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.089 * [taylor]: Taking taylor expansion of N in N 7.089 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify 1 into 1 7.089 * [backup-simplify]: Simplify (/ 1 1) into 1 7.089 * [backup-simplify]: Simplify (- 1) into -1 7.090 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.090 * [backup-simplify]: Simplify (* 0 -1) into 0 7.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.091 * [backup-simplify]: Simplify (- 0) into 0 7.092 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.093 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.093 * [backup-simplify]: Simplify (log -1) into (log -1) 7.094 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.095 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.095 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.095 * [taylor]: Taking taylor expansion of -1 in N 7.095 * [backup-simplify]: Simplify -1 into -1 7.096 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.097 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.097 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) in N 7.097 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 7.097 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 7.097 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 7.097 * [taylor]: Taking taylor expansion of 1/3 in N 7.097 * [backup-simplify]: Simplify 1/3 into 1/3 7.097 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 7.097 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.097 * [taylor]: Taking taylor expansion of N in N 7.097 * [backup-simplify]: Simplify 0 into 0 7.097 * [backup-simplify]: Simplify 1 into 1 7.097 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.097 * [taylor]: Taking taylor expansion of 1.0 in N 7.097 * [backup-simplify]: Simplify 1.0 into 1.0 7.097 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.097 * [taylor]: Taking taylor expansion of N in N 7.097 * [backup-simplify]: Simplify 0 into 0 7.097 * [backup-simplify]: Simplify 1 into 1 7.098 * [backup-simplify]: Simplify (/ 1 1) into 1 7.098 * [backup-simplify]: Simplify (- 1) into -1 7.098 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.099 * [backup-simplify]: Simplify (* 0 -1) into 0 7.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.100 * [backup-simplify]: Simplify (- 0) into 0 7.100 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.101 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.102 * [backup-simplify]: Simplify (log -1) into (log -1) 7.102 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.104 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.104 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.104 * [taylor]: Taking taylor expansion of -1 in N 7.104 * [backup-simplify]: Simplify -1 into -1 7.104 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.105 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.107 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 7.109 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 7.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.111 * [backup-simplify]: Simplify (- 0) into 0 7.111 * [backup-simplify]: Simplify (+ 0 0) into 0 7.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 7.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.123 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (log -1))) into (- 0.3333333333333333) 7.129 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow -1 1/3)) 7.134 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* -0.3333333333333333 (pow -1 1/3)) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) 7.137 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) into (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) 7.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.140 * [backup-simplify]: Simplify (- 0) into 0 7.140 * [backup-simplify]: Simplify (+ 0 0) into 0 7.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 7.153 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 7.155 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.16666666666666666) 7.163 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/3)) 7.167 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* -0.3333333333333333 (pow -1 1/3)) 0) (* (* -0.1111111111111111 (pow -1 1/3)) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) 7.169 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) into (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) 7.174 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) (/ 1 (- N))) (* (cbrt -1) (pow -1 1/3)))) into (- (+ (* (cbrt -1) (pow -1 1/3)) (* 0.3333333333333333 (* (/ (cbrt -1) N) (pow -1 1/3)))) (* 0.1111111111111111 (* (/ (cbrt -1) (pow N 2)) (pow -1 1/3)))) 7.175 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 7.175 * [backup-simplify]: Simplify (cbrt (/ (+ N 1.0) N)) into (pow (/ (+ N 1.0) N) 1/3) 7.175 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 7.175 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 7.175 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 7.175 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 7.175 * [taylor]: Taking taylor expansion of 1/3 in N 7.175 * [backup-simplify]: Simplify 1/3 into 1/3 7.175 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.175 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.175 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.175 * [taylor]: Taking taylor expansion of N in N 7.175 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify 1 into 1 7.175 * [taylor]: Taking taylor expansion of 1.0 in N 7.175 * [backup-simplify]: Simplify 1.0 into 1.0 7.175 * [taylor]: Taking taylor expansion of N in N 7.175 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify 1 into 1 7.175 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.176 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.176 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.176 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.177 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 7.177 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 7.177 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 7.177 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 7.177 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 7.177 * [taylor]: Taking taylor expansion of 1/3 in N 7.177 * [backup-simplify]: Simplify 1/3 into 1/3 7.177 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.177 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.177 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.177 * [taylor]: Taking taylor expansion of N in N 7.177 * [backup-simplify]: Simplify 0 into 0 7.177 * [backup-simplify]: Simplify 1 into 1 7.177 * [taylor]: Taking taylor expansion of 1.0 in N 7.177 * [backup-simplify]: Simplify 1.0 into 1.0 7.177 * [taylor]: Taking taylor expansion of N in N 7.177 * [backup-simplify]: Simplify 0 into 0 7.177 * [backup-simplify]: Simplify 1 into 1 7.178 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.178 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.178 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.179 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.179 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 7.179 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 7.180 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 7.180 * [backup-simplify]: Simplify (+ 1 0) into 1 7.180 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 7.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.184 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.185 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log 1.0) (log N)))) into 0.3333333333333333 7.187 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) 7.187 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) 7.187 * [backup-simplify]: Simplify (+ 0 0) into 0 7.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.197 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 7.197 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.199 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 7.205 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.207 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.210 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) N) (exp (* 1/3 (- (log 1.0) (log N)))))) into (- (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (+ (* 0.05555555555555555 (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N)))))) (exp (* 1/3 (- (log 1.0) (log N)))))) (* 1/6 (/ (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N))))) (pow 1.0 2)))) 7.210 * [backup-simplify]: Simplify (cbrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (* N (+ (/ 1 N) 1.0)) 1/3) 7.210 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 7.210 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 7.210 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 7.210 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 7.210 * [taylor]: Taking taylor expansion of 1/3 in N 7.210 * [backup-simplify]: Simplify 1/3 into 1/3 7.210 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.210 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.210 * [taylor]: Taking taylor expansion of N in N 7.210 * [backup-simplify]: Simplify 0 into 0 7.210 * [backup-simplify]: Simplify 1 into 1 7.210 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.210 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.210 * [taylor]: Taking taylor expansion of N in N 7.210 * [backup-simplify]: Simplify 0 into 0 7.210 * [backup-simplify]: Simplify 1 into 1 7.210 * [backup-simplify]: Simplify (/ 1 1) into 1 7.210 * [taylor]: Taking taylor expansion of 1.0 in N 7.210 * [backup-simplify]: Simplify 1.0 into 1.0 7.211 * [backup-simplify]: Simplify (+ 1 0) into 1 7.211 * [backup-simplify]: Simplify (* 0 1) into 0 7.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.212 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.212 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.212 * [backup-simplify]: Simplify (log 1) into 0 7.213 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.213 * [backup-simplify]: Simplify (+ 0 0) into 0 7.215 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.218 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.219 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 7.219 * [backup-simplify]: Simplify (exp 0) into 1 7.219 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 7.219 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 7.219 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 7.219 * [taylor]: Taking taylor expansion of 1/3 in N 7.219 * [backup-simplify]: Simplify 1/3 into 1/3 7.219 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.219 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.219 * [taylor]: Taking taylor expansion of N in N 7.219 * [backup-simplify]: Simplify 0 into 0 7.219 * [backup-simplify]: Simplify 1 into 1 7.219 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.219 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.219 * [taylor]: Taking taylor expansion of N in N 7.219 * [backup-simplify]: Simplify 0 into 0 7.220 * [backup-simplify]: Simplify 1 into 1 7.220 * [backup-simplify]: Simplify (/ 1 1) into 1 7.220 * [taylor]: Taking taylor expansion of 1.0 in N 7.220 * [backup-simplify]: Simplify 1.0 into 1.0 7.220 * [backup-simplify]: Simplify (+ 1 0) into 1 7.220 * [backup-simplify]: Simplify (* 0 1) into 0 7.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.221 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.221 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.222 * [backup-simplify]: Simplify (log 1) into 0 7.222 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.223 * [backup-simplify]: Simplify (+ 0 0) into 0 7.224 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.229 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.230 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 7.230 * [backup-simplify]: Simplify (exp 0) into 1 7.230 * [backup-simplify]: Simplify 1 into 1 7.235 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333 7.235 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.236 * [backup-simplify]: Simplify (+ 0 0) into 0 7.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 7.248 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 7.250 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.16666666666666666) 7.258 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into -0.1111111111111111 7.258 * [backup-simplify]: Simplify -0.1111111111111111 into -0.1111111111111111 7.258 * [backup-simplify]: Simplify (+ (* -0.1111111111111111 (pow (/ 1 N) 2)) (+ (* 0.3333333333333333 (/ 1 N)) 1)) into (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) 7.258 * [backup-simplify]: Simplify (cbrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) 7.258 * [approximate]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) in (N) around 0 7.259 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) in N 7.259 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 7.259 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 7.259 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 7.259 * [taylor]: Taking taylor expansion of 1/3 in N 7.259 * [backup-simplify]: Simplify 1/3 into 1/3 7.259 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 7.259 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.259 * [taylor]: Taking taylor expansion of N in N 7.259 * [backup-simplify]: Simplify 0 into 0 7.259 * [backup-simplify]: Simplify 1 into 1 7.259 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.259 * [taylor]: Taking taylor expansion of 1.0 in N 7.259 * [backup-simplify]: Simplify 1.0 into 1.0 7.259 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.259 * [taylor]: Taking taylor expansion of N in N 7.259 * [backup-simplify]: Simplify 0 into 0 7.259 * [backup-simplify]: Simplify 1 into 1 7.259 * [backup-simplify]: Simplify (/ 1 1) into 1 7.260 * [backup-simplify]: Simplify (- 1) into -1 7.260 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.261 * [backup-simplify]: Simplify (* 0 -1) into 0 7.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.262 * [backup-simplify]: Simplify (- 0) into 0 7.262 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.263 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.263 * [backup-simplify]: Simplify (log -1) into (log -1) 7.264 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.266 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.266 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.266 * [taylor]: Taking taylor expansion of -1 in N 7.266 * [backup-simplify]: Simplify -1 into -1 7.266 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.267 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.267 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) in N 7.267 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 7.267 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 7.267 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 7.267 * [taylor]: Taking taylor expansion of 1/3 in N 7.267 * [backup-simplify]: Simplify 1/3 into 1/3 7.267 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 7.267 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.267 * [taylor]: Taking taylor expansion of N in N 7.267 * [backup-simplify]: Simplify 0 into 0 7.267 * [backup-simplify]: Simplify 1 into 1 7.267 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.267 * [taylor]: Taking taylor expansion of 1.0 in N 7.267 * [backup-simplify]: Simplify 1.0 into 1.0 7.267 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.267 * [taylor]: Taking taylor expansion of N in N 7.268 * [backup-simplify]: Simplify 0 into 0 7.268 * [backup-simplify]: Simplify 1 into 1 7.268 * [backup-simplify]: Simplify (/ 1 1) into 1 7.268 * [backup-simplify]: Simplify (- 1) into -1 7.269 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.269 * [backup-simplify]: Simplify (* 0 -1) into 0 7.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.270 * [backup-simplify]: Simplify (- 0) into 0 7.271 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.271 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.272 * [backup-simplify]: Simplify (log -1) into (log -1) 7.273 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.274 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.274 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.274 * [taylor]: Taking taylor expansion of -1 in N 7.274 * [backup-simplify]: Simplify -1 into -1 7.275 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.276 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.277 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 7.279 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 7.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.280 * [backup-simplify]: Simplify (- 0) into 0 7.281 * [backup-simplify]: Simplify (+ 0 0) into 0 7.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 7.288 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.290 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (log -1))) into (- 0.3333333333333333) 7.293 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow -1 1/3)) 7.296 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* -0.3333333333333333 (pow -1 1/3)) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) 7.298 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) into (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) 7.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.301 * [backup-simplify]: Simplify (- 0) into 0 7.301 * [backup-simplify]: Simplify (+ 0 0) into 0 7.302 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 7.308 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 7.310 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.16666666666666666) 7.315 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/3)) 7.319 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* -0.3333333333333333 (pow -1 1/3)) 0) (* (* -0.1111111111111111 (pow -1 1/3)) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) 7.322 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) into (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) 7.330 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) (/ 1 (- N))) (* (cbrt -1) (pow -1 1/3)))) into (- (+ (* (cbrt -1) (pow -1 1/3)) (* 0.3333333333333333 (* (/ (cbrt -1) N) (pow -1 1/3)))) (* 0.1111111111111111 (* (/ (cbrt -1) (pow N 2)) (pow -1 1/3)))) 7.330 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 7.330 * [backup-simplify]: Simplify (cbrt (/ (+ N 1.0) N)) into (pow (/ (+ N 1.0) N) 1/3) 7.330 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 7.330 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 7.330 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 7.330 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 7.330 * [taylor]: Taking taylor expansion of 1/3 in N 7.330 * [backup-simplify]: Simplify 1/3 into 1/3 7.330 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.330 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.330 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.330 * [taylor]: Taking taylor expansion of N in N 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 1 into 1 7.330 * [taylor]: Taking taylor expansion of 1.0 in N 7.331 * [backup-simplify]: Simplify 1.0 into 1.0 7.331 * [taylor]: Taking taylor expansion of N in N 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify 1 into 1 7.331 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.331 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.332 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.333 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.333 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 7.334 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 7.334 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 7.334 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 7.334 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 7.334 * [taylor]: Taking taylor expansion of 1/3 in N 7.334 * [backup-simplify]: Simplify 1/3 into 1/3 7.334 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.334 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.334 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.334 * [taylor]: Taking taylor expansion of N in N 7.334 * [backup-simplify]: Simplify 0 into 0 7.334 * [backup-simplify]: Simplify 1 into 1 7.334 * [taylor]: Taking taylor expansion of 1.0 in N 7.334 * [backup-simplify]: Simplify 1.0 into 1.0 7.334 * [taylor]: Taking taylor expansion of N in N 7.334 * [backup-simplify]: Simplify 0 into 0 7.334 * [backup-simplify]: Simplify 1 into 1 7.335 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.335 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.335 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.336 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.337 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 7.337 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 7.338 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 7.338 * [backup-simplify]: Simplify (+ 1 0) into 1 7.339 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 7.344 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.345 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.346 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log 1.0) (log N)))) into 0.3333333333333333 7.349 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) 7.349 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) 7.350 * [backup-simplify]: Simplify (+ 0 0) into 0 7.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.356 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 7.357 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.358 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 7.364 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.366 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.369 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) N) (exp (* 1/3 (- (log 1.0) (log N)))))) into (- (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (+ (* 0.05555555555555555 (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N)))))) (exp (* 1/3 (- (log 1.0) (log N)))))) (* 1/6 (/ (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N))))) (pow 1.0 2)))) 7.369 * [backup-simplify]: Simplify (cbrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (* N (+ (/ 1 N) 1.0)) 1/3) 7.369 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 7.369 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 7.369 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 7.369 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 7.369 * [taylor]: Taking taylor expansion of 1/3 in N 7.369 * [backup-simplify]: Simplify 1/3 into 1/3 7.369 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.369 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.369 * [taylor]: Taking taylor expansion of N in N 7.369 * [backup-simplify]: Simplify 0 into 0 7.369 * [backup-simplify]: Simplify 1 into 1 7.369 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.369 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.370 * [taylor]: Taking taylor expansion of N in N 7.370 * [backup-simplify]: Simplify 0 into 0 7.370 * [backup-simplify]: Simplify 1 into 1 7.370 * [backup-simplify]: Simplify (/ 1 1) into 1 7.370 * [taylor]: Taking taylor expansion of 1.0 in N 7.370 * [backup-simplify]: Simplify 1.0 into 1.0 7.370 * [backup-simplify]: Simplify (+ 1 0) into 1 7.370 * [backup-simplify]: Simplify (* 0 1) into 0 7.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.371 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.371 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.372 * [backup-simplify]: Simplify (log 1) into 0 7.372 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.373 * [backup-simplify]: Simplify (+ 0 0) into 0 7.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.381 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.382 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 7.382 * [backup-simplify]: Simplify (exp 0) into 1 7.382 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 7.382 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 7.382 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 7.382 * [taylor]: Taking taylor expansion of 1/3 in N 7.382 * [backup-simplify]: Simplify 1/3 into 1/3 7.382 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.382 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.382 * [taylor]: Taking taylor expansion of N in N 7.382 * [backup-simplify]: Simplify 0 into 0 7.382 * [backup-simplify]: Simplify 1 into 1 7.382 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.382 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.382 * [taylor]: Taking taylor expansion of N in N 7.382 * [backup-simplify]: Simplify 0 into 0 7.383 * [backup-simplify]: Simplify 1 into 1 7.383 * [backup-simplify]: Simplify (/ 1 1) into 1 7.383 * [taylor]: Taking taylor expansion of 1.0 in N 7.383 * [backup-simplify]: Simplify 1.0 into 1.0 7.383 * [backup-simplify]: Simplify (+ 1 0) into 1 7.384 * [backup-simplify]: Simplify (* 0 1) into 0 7.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.385 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.386 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.386 * [backup-simplify]: Simplify (log 1) into 0 7.386 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.388 * [backup-simplify]: Simplify (+ 0 0) into 0 7.391 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.397 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.398 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 7.398 * [backup-simplify]: Simplify (exp 0) into 1 7.398 * [backup-simplify]: Simplify 1 into 1 7.402 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333 7.402 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.406 * [backup-simplify]: Simplify (+ 0 0) into 0 7.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 7.418 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 7.420 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.16666666666666666) 7.428 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into -0.1111111111111111 7.428 * [backup-simplify]: Simplify -0.1111111111111111 into -0.1111111111111111 7.428 * [backup-simplify]: Simplify (+ (* -0.1111111111111111 (pow (/ 1 N) 2)) (+ (* 0.3333333333333333 (/ 1 N)) 1)) into (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) 7.428 * [backup-simplify]: Simplify (cbrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) 7.429 * [approximate]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) in (N) around 0 7.429 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) in N 7.429 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 7.429 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 7.429 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 7.429 * [taylor]: Taking taylor expansion of 1/3 in N 7.429 * [backup-simplify]: Simplify 1/3 into 1/3 7.429 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 7.429 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.429 * [taylor]: Taking taylor expansion of N in N 7.429 * [backup-simplify]: Simplify 0 into 0 7.429 * [backup-simplify]: Simplify 1 into 1 7.429 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.429 * [taylor]: Taking taylor expansion of 1.0 in N 7.429 * [backup-simplify]: Simplify 1.0 into 1.0 7.429 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.429 * [taylor]: Taking taylor expansion of N in N 7.429 * [backup-simplify]: Simplify 0 into 0 7.429 * [backup-simplify]: Simplify 1 into 1 7.429 * [backup-simplify]: Simplify (/ 1 1) into 1 7.430 * [backup-simplify]: Simplify (- 1) into -1 7.430 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.431 * [backup-simplify]: Simplify (* 0 -1) into 0 7.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.432 * [backup-simplify]: Simplify (- 0) into 0 7.432 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.433 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.434 * [backup-simplify]: Simplify (log -1) into (log -1) 7.434 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.436 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.436 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.436 * [taylor]: Taking taylor expansion of -1 in N 7.436 * [backup-simplify]: Simplify -1 into -1 7.436 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.437 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.437 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) in N 7.437 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 7.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 7.437 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 7.437 * [taylor]: Taking taylor expansion of 1/3 in N 7.437 * [backup-simplify]: Simplify 1/3 into 1/3 7.437 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 7.437 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.437 * [taylor]: Taking taylor expansion of N in N 7.438 * [backup-simplify]: Simplify 0 into 0 7.438 * [backup-simplify]: Simplify 1 into 1 7.438 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.438 * [taylor]: Taking taylor expansion of 1.0 in N 7.438 * [backup-simplify]: Simplify 1.0 into 1.0 7.438 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.438 * [taylor]: Taking taylor expansion of N in N 7.438 * [backup-simplify]: Simplify 0 into 0 7.438 * [backup-simplify]: Simplify 1 into 1 7.438 * [backup-simplify]: Simplify (/ 1 1) into 1 7.438 * [backup-simplify]: Simplify (- 1) into -1 7.439 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.439 * [backup-simplify]: Simplify (* 0 -1) into 0 7.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.440 * [backup-simplify]: Simplify (- 0) into 0 7.440 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.440 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.441 * [backup-simplify]: Simplify (log -1) into (log -1) 7.441 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.442 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.442 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.442 * [taylor]: Taking taylor expansion of -1 in N 7.442 * [backup-simplify]: Simplify -1 into -1 7.442 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.443 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.444 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 7.445 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 7.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.445 * [backup-simplify]: Simplify (- 0) into 0 7.446 * [backup-simplify]: Simplify (+ 0 0) into 0 7.447 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 7.451 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.452 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (log -1))) into (- 0.3333333333333333) 7.456 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow -1 1/3)) 7.458 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* -0.3333333333333333 (pow -1 1/3)) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) 7.460 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) into (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) 7.461 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.462 * [backup-simplify]: Simplify (- 0) into 0 7.462 * [backup-simplify]: Simplify (+ 0 0) into 0 7.463 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 7.469 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 7.471 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.16666666666666666) 7.482 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/3)) 7.489 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* -0.3333333333333333 (pow -1 1/3)) 0) (* (* -0.1111111111111111 (pow -1 1/3)) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) 7.492 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) into (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) 7.501 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) (/ 1 (- N))) (* (cbrt -1) (pow -1 1/3)))) into (- (+ (* (cbrt -1) (pow -1 1/3)) (* 0.3333333333333333 (* (/ (cbrt -1) N) (pow -1 1/3)))) (* 0.1111111111111111 (* (/ (cbrt -1) (pow N 2)) (pow -1 1/3)))) 7.501 * * * [progress]: simplifying candidates 7.504 * [simplify]: Simplifying: (expm1 (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))))) (log1p (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)))) (log (* (* (cbrt N) (cbrt N)) (cbrt N))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)))) (log (* (cbrt N) (cbrt N))) (log (* (* (cbrt (+ N 1.0)) (cbrt (/ (+ N 1.0) N))) (cbrt (+ N 1.0)))) (log (* (cbrt N) (cbrt N))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (+ N 1.0)))) (log (cbrt N)) (log (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (/ (+ N 1.0) N)))) (log (* (cbrt N) (cbrt N))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt (/ (+ N 1.0) N)))) (log (cbrt N)) (log (* (* (cbrt (+ N 1.0)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)))) (log (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))))) (exp (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))))) (* (cbrt (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))))) (cbrt (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)))))) (cbrt (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))))) (* (* (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))))) (sqrt (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))))) (sqrt (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))))) (expm1 (cbrt (/ (+ N 1.0) N))) (log1p (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt 1) (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (expm1 (cbrt (/ (+ N 1.0) N))) (log1p (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt 1) (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (expm1 (cbrt (/ (+ N 1.0) N))) (log1p (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt 1) (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (+ (* 0.05555555555555555 (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N)))))) (exp (* 1/3 (- (log 1.0) (log N)))))) (* 1/6 (/ (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N))))) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) (- (+ (* (cbrt -1) (pow -1 1/3)) (* 0.3333333333333333 (* (/ (cbrt -1) N) (pow -1 1/3)))) (* 0.1111111111111111 (* (/ (cbrt -1) (pow N 2)) (pow -1 1/3)))) (- (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (+ (* 0.05555555555555555 (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N)))))) (exp (* 1/3 (- (log 1.0) (log N)))))) (* 1/6 (/ (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N))))) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) (- (+ (* (cbrt -1) (pow -1 1/3)) (* 0.3333333333333333 (* (/ (cbrt -1) N) (pow -1 1/3)))) (* 0.1111111111111111 (* (/ (cbrt -1) (pow N 2)) (pow -1 1/3)))) (- (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (+ (* 0.05555555555555555 (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N)))))) (exp (* 1/3 (- (log 1.0) (log N)))))) (* 1/6 (/ (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N))))) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) (- (+ (* (cbrt -1) (pow -1 1/3)) (* 0.3333333333333333 (* (/ (cbrt -1) N) (pow -1 1/3)))) (* 0.1111111111111111 (* (/ (cbrt -1) (pow N 2)) (pow -1 1/3)))) 7.508 * * [simplify]: Extracting # 0 : cost 58 inf + 0 7.508 * * [simplify]: Extracting # 1 : cost 102 inf + 0 7.508 * * [simplify]: Extracting # 2 : cost 122 inf + 124 7.509 * * [simplify]: Extracting # 3 : cost 106 inf + 4843 7.511 * * [simplify]: Extracting # 4 : cost 66 inf + 15025 7.515 * * [simplify]: Extracting # 5 : cost 31 inf + 24255 7.518 * * [simplify]: Extracting # 6 : cost 21 inf + 27454 7.522 * * [simplify]: Extracting # 7 : cost 14 inf + 30431 7.530 * * [simplify]: Extracting # 8 : cost 10 inf + 32557 7.535 * * [simplify]: Extracting # 9 : cost 5 inf + 35810 7.539 * * [simplify]: Extracting # 10 : cost 2 inf + 37394 7.544 * * [simplify]: Extracting # 11 : cost 1 inf + 38140 7.549 * * [simplify]: Extracting # 12 : cost 0 inf + 39217 7.555 * * [simplify]: iteration 0 : 149 enodes (cost 48937 ) 7.589 * * [simplify]: Extracting # 0 : cost 0 inf + 39217 7.595 * * [simplify]: Extracting # 1 : cost 46 inf + 36434 7.604 * * [simplify]: Extracting # 2 : cost 4 inf + 45202 7.613 * * [simplify]: Extracting # 3 : cost 0 inf + 40967 7.619 * * [simplify]: Extracting # 4 : cost 0 inf + 40601 7.624 * * [simplify]: iteration 1 : 305 enodes (cost 43389 ) 7.733 * * [simplify]: Extracting # 0 : cost 0 inf + 40601 7.746 * * [simplify]: Extracting # 1 : cost 183 inf + 39502 7.767 * * [simplify]: Extracting # 2 : cost 13 inf + 74439 7.779 * * [simplify]: Extracting # 3 : cost 1 inf + 76546 7.803 * * [simplify]: Extracting # 4 : cost 0 inf + 76198 7.826 * * [simplify]: Extracting # 5 : cost 0 inf + 75878 7.840 * * [simplify]: iteration 2 : 819 enodes (cost 42682 ) 8.316 * * [simplify]: Extracting # 0 : cost 0 inf + 75878 8.359 * * [simplify]: Extracting # 1 : cost 876 inf + 73909 8.424 * * [simplify]: Extracting # 2 : cost 16 inf + 270930 8.522 * * [simplify]: Extracting # 3 : cost 4 inf + 267620 8.585 * * [simplify]: Extracting # 4 : cost 0 inf + 267475 8.650 * * [simplify]: iteration 3 : 3083 enodes (cost 39728 ) 9.692 * * [simplify]: Extracting # 0 : cost 0 inf + 267475 9.817 * * [simplify]: Extracting # 1 : cost 539 inf + 263817 9.986 * * [simplify]: Extracting # 2 : cost 0 inf + 409494 10.163 * * [simplify]: iteration complete: 5002 enodes (cost 39728 ) 10.164 * [simplify]: Simplified to: (expm1 (log (/ (+ 1.0 N) N))) (log1p (log (/ (+ 1.0 N) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ 1.0 N) N))) (log (+ 1.0 N)) (log N) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)))) (log (* (cbrt N) (cbrt N))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)))) (log (* (cbrt N) (cbrt N))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (+ N 1.0)))) (log (cbrt N)) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)))) (log (* (cbrt N) (cbrt N))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (+ N 1.0)))) (log (cbrt N)) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (+ N 1.0)))) (log (cbrt N)) (log (/ (+ 1.0 N) N)) (log (cbrt (/ (+ 1.0 N) N))) (log (cbrt (/ (+ 1.0 N) N))) (log (cbrt (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N)) (log (cbrt (/ (+ 1.0 N) N))) (* 3 (log (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (log (cbrt (/ (+ 1.0 N) N))) (log (cbrt (/ (+ 1.0 N) N))) (log (cbrt (/ (+ 1.0 N) N))) (log (cbrt (/ (+ 1.0 N) N))) (log (cbrt (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (* (* (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (expm1 (cbrt (/ (+ N 1.0) N))) (log1p (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ 1.0 N) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (* (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (cbrt (+ N 1.0)) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (sqrt (+ N 1.0))) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ 1.0 N) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ 1.0 N) N)) 1 (cbrt (/ (+ 1.0 N) N)) (cbrt (+ 1.0 N)) (cbrt (/ 1 N)) (cbrt (+ 1.0 N)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (/ (+ 1.0 N) N) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (expm1 (cbrt (/ (+ N 1.0) N))) (log1p (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ 1.0 N) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (* (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (cbrt (+ N 1.0)) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (sqrt (+ N 1.0))) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ 1.0 N) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ 1.0 N) N)) 1 (cbrt (/ (+ 1.0 N) N)) (cbrt (+ 1.0 N)) (cbrt (/ 1 N)) (cbrt (+ 1.0 N)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (/ (+ 1.0 N) N) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (expm1 (cbrt (/ (+ N 1.0) N))) (log1p (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ 1.0 N) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (* (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (cbrt (+ N 1.0)) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (sqrt (+ N 1.0))) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ 1.0 N) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ 1.0 N) N)) 1 (cbrt (/ (+ 1.0 N) N)) (cbrt (+ 1.0 N)) (cbrt (/ 1 N)) (cbrt (+ 1.0 N)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (/ (+ 1.0 N) N) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (- (fma 1.0 N (log 1.0)) (fma 1/2 (* (/ N 1.0) (/ N 1.0)) (log N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (* (* N N) N))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (* (* N N) N))) (/ 0.5 (* N N))) (fma -1/6 (* (* (/ N 1.0) (/ N 1.0)) (exp (* 1/3 (- (log 1.0) (log N))))) (fma (exp (* 1/3 (- (log 1.0) (log N)))) (* N (+ 0.3333333333333333 (* 0.05555555555555555 N))) (exp (* 1/3 (- (log 1.0) (log N)))))) (+ (/ 0.3333333333333333 N) (- 1 (/ 0.1111111111111111 (* N N)))) (- (* (cbrt -1) (fma 0.3333333333333333 (/ (cbrt -1) N) (cbrt -1))) (* 0.1111111111111111 (* (/ (cbrt -1) N) (/ (cbrt -1) N)))) (fma -1/6 (* (* (/ N 1.0) (/ N 1.0)) (exp (* 1/3 (- (log 1.0) (log N))))) (fma (exp (* 1/3 (- (log 1.0) (log N)))) (* N (+ 0.3333333333333333 (* 0.05555555555555555 N))) (exp (* 1/3 (- (log 1.0) (log N)))))) (+ (/ 0.3333333333333333 N) (- 1 (/ 0.1111111111111111 (* N N)))) (- (* (cbrt -1) (fma 0.3333333333333333 (/ (cbrt -1) N) (cbrt -1))) (* 0.1111111111111111 (* (/ (cbrt -1) N) (/ (cbrt -1) N)))) (fma -1/6 (* (* (/ N 1.0) (/ N 1.0)) (exp (* 1/3 (- (log 1.0) (log N))))) (fma (exp (* 1/3 (- (log 1.0) (log N)))) (* N (+ 0.3333333333333333 (* 0.05555555555555555 N))) (exp (* 1/3 (- (log 1.0) (log N)))))) (+ (/ 0.3333333333333333 N) (- 1 (/ 0.1111111111111111 (* N N)))) (- (* (cbrt -1) (fma 0.3333333333333333 (/ (cbrt -1) N) (cbrt -1))) (* 0.1111111111111111 (* (/ (cbrt -1) N) (/ (cbrt -1) N)))) 10.173 * * * [progress]: adding candidates to table 10.840 * * [progress]: iteration 4 / 4 10.840 * * * [progress]: picking best candidate 10.843 * * * * [pick]: Picked # 10.843 * * * [progress]: localizing error 10.871 * * * [progress]: generating rewritten candidates 10.871 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 11.030 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 11.036 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 11.050 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 11.083 * * * [progress]: generating series expansions 11.084 * * * * [progress]: [ 1 / 4 ] generating series at (2) 11.084 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 11.084 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 11.084 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 11.084 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 11.084 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 11.084 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 11.084 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.084 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 11.084 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.084 * [taylor]: Taking taylor expansion of N in N 11.084 * [backup-simplify]: Simplify 0 into 0 11.084 * [backup-simplify]: Simplify 1 into 1 11.085 * [backup-simplify]: Simplify (* 1 1) into 1 11.085 * [backup-simplify]: Simplify (* 1 1) into 1 11.086 * [backup-simplify]: Simplify (/ 1 1) into 1 11.086 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 11.086 * [taylor]: Taking taylor expansion of 1.0 in N 11.086 * [backup-simplify]: Simplify 1.0 into 1.0 11.086 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.086 * [taylor]: Taking taylor expansion of N in N 11.086 * [backup-simplify]: Simplify 0 into 0 11.086 * [backup-simplify]: Simplify 1 into 1 11.086 * [backup-simplify]: Simplify (/ 1 1) into 1 11.086 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 11.087 * [taylor]: Taking taylor expansion of 0.5 in N 11.087 * [backup-simplify]: Simplify 0.5 into 0.5 11.087 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 11.087 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.087 * [taylor]: Taking taylor expansion of N in N 11.087 * [backup-simplify]: Simplify 0 into 0 11.087 * [backup-simplify]: Simplify 1 into 1 11.087 * [backup-simplify]: Simplify (* 1 1) into 1 11.087 * [backup-simplify]: Simplify (/ 1 1) into 1 11.087 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 11.087 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 11.088 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 11.088 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 11.088 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.088 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 11.088 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.088 * [taylor]: Taking taylor expansion of N in N 11.088 * [backup-simplify]: Simplify 0 into 0 11.088 * [backup-simplify]: Simplify 1 into 1 11.088 * [backup-simplify]: Simplify (* 1 1) into 1 11.088 * [backup-simplify]: Simplify (* 1 1) into 1 11.089 * [backup-simplify]: Simplify (/ 1 1) into 1 11.089 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 11.089 * [taylor]: Taking taylor expansion of 1.0 in N 11.089 * [backup-simplify]: Simplify 1.0 into 1.0 11.089 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.089 * [taylor]: Taking taylor expansion of N in N 11.089 * [backup-simplify]: Simplify 0 into 0 11.089 * [backup-simplify]: Simplify 1 into 1 11.089 * [backup-simplify]: Simplify (/ 1 1) into 1 11.089 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 11.090 * [taylor]: Taking taylor expansion of 0.5 in N 11.090 * [backup-simplify]: Simplify 0.5 into 0.5 11.090 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 11.090 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.090 * [taylor]: Taking taylor expansion of N in N 11.090 * [backup-simplify]: Simplify 0 into 0 11.090 * [backup-simplify]: Simplify 1 into 1 11.090 * [backup-simplify]: Simplify (* 1 1) into 1 11.090 * [backup-simplify]: Simplify (/ 1 1) into 1 11.091 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 11.091 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 11.092 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 11.092 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.095 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 11.095 * [backup-simplify]: Simplify (+ 0 0) into 0 11.096 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.096 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.097 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 11.097 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.101 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 11.101 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 11.102 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.104 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 11.104 * [backup-simplify]: Simplify (- 0) into 0 11.105 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.105 * [backup-simplify]: Simplify 1.0 into 1.0 11.105 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 11.106 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (* (/ 1 N) (* (/ 1 N) (/ 1 N)))) (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N))))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 11.106 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 11.106 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 11.106 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 11.106 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 11.106 * [taylor]: Taking taylor expansion of 1.0 in N 11.106 * [backup-simplify]: Simplify 1.0 into 1.0 11.106 * [taylor]: Taking taylor expansion of N in N 11.106 * [backup-simplify]: Simplify 0 into 0 11.106 * [backup-simplify]: Simplify 1 into 1 11.106 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 11.106 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 11.106 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.106 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.106 * [taylor]: Taking taylor expansion of N in N 11.106 * [backup-simplify]: Simplify 0 into 0 11.106 * [backup-simplify]: Simplify 1 into 1 11.106 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 11.107 * [taylor]: Taking taylor expansion of 0.5 in N 11.107 * [backup-simplify]: Simplify 0.5 into 0.5 11.107 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.107 * [taylor]: Taking taylor expansion of N in N 11.107 * [backup-simplify]: Simplify 0 into 0 11.107 * [backup-simplify]: Simplify 1 into 1 11.107 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 11.107 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 11.107 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 11.107 * [taylor]: Taking taylor expansion of 1.0 in N 11.107 * [backup-simplify]: Simplify 1.0 into 1.0 11.107 * [taylor]: Taking taylor expansion of N in N 11.107 * [backup-simplify]: Simplify 0 into 0 11.107 * [backup-simplify]: Simplify 1 into 1 11.107 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 11.107 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 11.107 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.107 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.107 * [taylor]: Taking taylor expansion of N in N 11.107 * [backup-simplify]: Simplify 0 into 0 11.107 * [backup-simplify]: Simplify 1 into 1 11.107 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 11.107 * [taylor]: Taking taylor expansion of 0.5 in N 11.107 * [backup-simplify]: Simplify 0.5 into 0.5 11.107 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.107 * [taylor]: Taking taylor expansion of N in N 11.107 * [backup-simplify]: Simplify 0 into 0 11.107 * [backup-simplify]: Simplify 1 into 1 11.108 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.108 * [backup-simplify]: Simplify (+ 0 0) into 0 11.108 * [backup-simplify]: Simplify (+ 0 0) into 0 11.109 * [backup-simplify]: Simplify 0 into 0 11.114 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 11.115 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.115 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.115 * [backup-simplify]: Simplify 1.0 into 1.0 11.116 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 11.117 * [backup-simplify]: Simplify (+ 0 0) into 0 11.117 * [backup-simplify]: Simplify (* 1 1) into 1 11.117 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.118 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.119 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 11.119 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.120 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.120 * [backup-simplify]: Simplify (* 1 1) into 1 11.121 * [backup-simplify]: Simplify (* 1 1) into 1 11.121 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 11.121 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 11.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.123 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 11.123 * [backup-simplify]: Simplify (- 0) into 0 11.123 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 11.123 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.124 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 11.125 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N))))) (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 11.125 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 11.125 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 11.125 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 11.125 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 11.125 * [taylor]: Taking taylor expansion of 0.5 in N 11.125 * [backup-simplify]: Simplify 0.5 into 0.5 11.125 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.125 * [taylor]: Taking taylor expansion of N in N 11.125 * [backup-simplify]: Simplify 0 into 0 11.125 * [backup-simplify]: Simplify 1 into 1 11.125 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 11.125 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 11.125 * [taylor]: Taking taylor expansion of 1.0 in N 11.125 * [backup-simplify]: Simplify 1.0 into 1.0 11.125 * [taylor]: Taking taylor expansion of N in N 11.125 * [backup-simplify]: Simplify 0 into 0 11.125 * [backup-simplify]: Simplify 1 into 1 11.125 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 11.125 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 11.125 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.125 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.125 * [taylor]: Taking taylor expansion of N in N 11.125 * [backup-simplify]: Simplify 0 into 0 11.125 * [backup-simplify]: Simplify 1 into 1 11.125 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 11.125 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 11.125 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 11.125 * [taylor]: Taking taylor expansion of 0.5 in N 11.126 * [backup-simplify]: Simplify 0.5 into 0.5 11.126 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.126 * [taylor]: Taking taylor expansion of N in N 11.126 * [backup-simplify]: Simplify 0 into 0 11.126 * [backup-simplify]: Simplify 1 into 1 11.126 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 11.126 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 11.126 * [taylor]: Taking taylor expansion of 1.0 in N 11.126 * [backup-simplify]: Simplify 1.0 into 1.0 11.126 * [taylor]: Taking taylor expansion of N in N 11.126 * [backup-simplify]: Simplify 0 into 0 11.126 * [backup-simplify]: Simplify 1 into 1 11.126 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 11.126 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 11.126 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.126 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.126 * [taylor]: Taking taylor expansion of N in N 11.126 * [backup-simplify]: Simplify 0 into 0 11.126 * [backup-simplify]: Simplify 1 into 1 11.126 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.127 * [backup-simplify]: Simplify (+ 0 0) into 0 11.127 * [backup-simplify]: Simplify (+ 0 0) into 0 11.127 * [backup-simplify]: Simplify (- 0) into 0 11.127 * [backup-simplify]: Simplify 0 into 0 11.129 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 11.129 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.130 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.130 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 11.130 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 11.131 * [backup-simplify]: Simplify (* 1 1) into 1 11.131 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.132 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 11.132 * [backup-simplify]: Simplify (+ 0 0) into 0 11.133 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 11.133 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.133 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.134 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 11.135 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.136 * [backup-simplify]: Simplify (* 1 1) into 1 11.136 * [backup-simplify]: Simplify (* 1 1) into 1 11.137 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 11.137 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 11.137 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 11.138 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 11.138 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 11.140 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 11.140 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 11.140 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 11.140 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 11.140 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 11.140 * [taylor]: Taking taylor expansion of 0.5 in N 11.140 * [backup-simplify]: Simplify 0.5 into 0.5 11.140 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.140 * [taylor]: Taking taylor expansion of N in N 11.140 * [backup-simplify]: Simplify 0 into 0 11.140 * [backup-simplify]: Simplify 1 into 1 11.140 * [backup-simplify]: Simplify (* 1 1) into 1 11.141 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 11.141 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 11.141 * [taylor]: Taking taylor expansion of 0.5 in N 11.141 * [backup-simplify]: Simplify 0.5 into 0.5 11.141 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.141 * [taylor]: Taking taylor expansion of N in N 11.141 * [backup-simplify]: Simplify 0 into 0 11.141 * [backup-simplify]: Simplify 1 into 1 11.141 * [backup-simplify]: Simplify (* 1 1) into 1 11.142 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 11.142 * [backup-simplify]: Simplify 0.5 into 0.5 11.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 11.143 * [backup-simplify]: Simplify 0 into 0 11.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.145 * [backup-simplify]: Simplify 0 into 0 11.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.147 * [backup-simplify]: Simplify 0 into 0 11.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.149 * [backup-simplify]: Simplify 0 into 0 11.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.151 * [backup-simplify]: Simplify 0 into 0 11.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.153 * [backup-simplify]: Simplify 0 into 0 11.154 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 11.154 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 11.154 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 11.154 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 11.154 * [taylor]: Taking taylor expansion of 0.5 in N 11.154 * [backup-simplify]: Simplify 0.5 into 0.5 11.154 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.154 * [taylor]: Taking taylor expansion of N in N 11.154 * [backup-simplify]: Simplify 0 into 0 11.154 * [backup-simplify]: Simplify 1 into 1 11.154 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 11.154 * [taylor]: Taking taylor expansion of 0.5 in N 11.154 * [backup-simplify]: Simplify 0.5 into 0.5 11.154 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.154 * [taylor]: Taking taylor expansion of N in N 11.154 * [backup-simplify]: Simplify 0 into 0 11.154 * [backup-simplify]: Simplify 1 into 1 11.154 * [backup-simplify]: Simplify (* 1 1) into 1 11.155 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.155 * [backup-simplify]: Simplify 0.5 into 0.5 11.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.156 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 11.156 * [backup-simplify]: Simplify 0 into 0 11.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.158 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 11.158 * [backup-simplify]: Simplify 0 into 0 11.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.160 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.160 * [backup-simplify]: Simplify 0 into 0 11.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.162 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.162 * [backup-simplify]: Simplify 0 into 0 11.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.165 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.165 * [backup-simplify]: Simplify 0 into 0 11.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.168 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.168 * [backup-simplify]: Simplify 0 into 0 11.168 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 11.168 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 11.168 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 11.168 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 11.168 * [taylor]: Taking taylor expansion of 0.5 in N 11.168 * [backup-simplify]: Simplify 0.5 into 0.5 11.168 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.168 * [taylor]: Taking taylor expansion of N in N 11.168 * [backup-simplify]: Simplify 0 into 0 11.168 * [backup-simplify]: Simplify 1 into 1 11.168 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 11.168 * [taylor]: Taking taylor expansion of 0.5 in N 11.168 * [backup-simplify]: Simplify 0.5 into 0.5 11.168 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.168 * [taylor]: Taking taylor expansion of N in N 11.168 * [backup-simplify]: Simplify 0 into 0 11.169 * [backup-simplify]: Simplify 1 into 1 11.169 * [backup-simplify]: Simplify (* 1 1) into 1 11.169 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.169 * [backup-simplify]: Simplify 0.5 into 0.5 11.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.171 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 11.171 * [backup-simplify]: Simplify 0 into 0 11.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.172 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 11.172 * [backup-simplify]: Simplify 0 into 0 11.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.174 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.174 * [backup-simplify]: Simplify 0 into 0 11.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.177 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.177 * [backup-simplify]: Simplify 0 into 0 11.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.179 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.179 * [backup-simplify]: Simplify 0 into 0 11.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.182 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.182 * [backup-simplify]: Simplify 0 into 0 11.182 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 11.182 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 11.183 * [backup-simplify]: Simplify (/ 0.3333333333333333 (* N (* N N))) into (/ 0.3333333333333333 (pow N 3)) 11.183 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 11.183 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 11.183 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 11.183 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.183 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.183 * [taylor]: Taking taylor expansion of N in N 11.183 * [backup-simplify]: Simplify 0 into 0 11.183 * [backup-simplify]: Simplify 1 into 1 11.183 * [backup-simplify]: Simplify (* 1 1) into 1 11.183 * [backup-simplify]: Simplify (* 1 1) into 1 11.184 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 11.184 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 11.184 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 11.184 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.184 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.184 * [taylor]: Taking taylor expansion of N in N 11.184 * [backup-simplify]: Simplify 0 into 0 11.184 * [backup-simplify]: Simplify 1 into 1 11.184 * [backup-simplify]: Simplify (* 1 1) into 1 11.185 * [backup-simplify]: Simplify (* 1 1) into 1 11.185 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 11.185 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 11.187 * [backup-simplify]: Simplify 0 into 0 11.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.190 * [backup-simplify]: Simplify 0 into 0 11.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.193 * [backup-simplify]: Simplify 0 into 0 11.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.196 * [backup-simplify]: Simplify 0 into 0 11.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.199 * [backup-simplify]: Simplify 0 into 0 11.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.203 * [backup-simplify]: Simplify 0 into 0 11.203 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 11.203 * [backup-simplify]: Simplify (/ 0.3333333333333333 (* (/ 1 N) (* (/ 1 N) (/ 1 N)))) into (* 0.3333333333333333 (pow N 3)) 11.203 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 11.203 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 11.203 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 11.203 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.203 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.204 * [taylor]: Taking taylor expansion of N in N 11.204 * [backup-simplify]: Simplify 0 into 0 11.204 * [backup-simplify]: Simplify 1 into 1 11.204 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 11.204 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 11.204 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.204 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.204 * [taylor]: Taking taylor expansion of N in N 11.204 * [backup-simplify]: Simplify 0 into 0 11.204 * [backup-simplify]: Simplify 1 into 1 11.204 * [backup-simplify]: Simplify (* 1 1) into 1 11.205 * [backup-simplify]: Simplify (* 1 1) into 1 11.205 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 11.205 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.207 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 11.207 * [backup-simplify]: Simplify 0 into 0 11.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.209 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 11.210 * [backup-simplify]: Simplify 0 into 0 11.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.213 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.213 * [backup-simplify]: Simplify 0 into 0 11.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.216 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.216 * [backup-simplify]: Simplify 0 into 0 11.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.219 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.219 * [backup-simplify]: Simplify 0 into 0 11.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.222 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.222 * [backup-simplify]: Simplify 0 into 0 11.222 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 11.222 * [backup-simplify]: Simplify (/ 0.3333333333333333 (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N))))) into (* -0.3333333333333333 (pow N 3)) 11.222 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 11.222 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 11.222 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 11.222 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 11.222 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.222 * [taylor]: Taking taylor expansion of N in N 11.222 * [backup-simplify]: Simplify 0 into 0 11.222 * [backup-simplify]: Simplify 1 into 1 11.222 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 11.222 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 11.222 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 11.222 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.222 * [taylor]: Taking taylor expansion of N in N 11.222 * [backup-simplify]: Simplify 0 into 0 11.222 * [backup-simplify]: Simplify 1 into 1 11.223 * [backup-simplify]: Simplify (* 1 1) into 1 11.223 * [backup-simplify]: Simplify (* 1 1) into 1 11.223 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 11.223 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 11.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.224 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 11.224 * [backup-simplify]: Simplify 0 into 0 11.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.226 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 11.226 * [backup-simplify]: Simplify 0 into 0 11.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.228 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.228 * [backup-simplify]: Simplify 0 into 0 11.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.230 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.230 * [backup-simplify]: Simplify 0 into 0 11.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.233 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.233 * [backup-simplify]: Simplify 0 into 0 11.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.239 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.239 * [backup-simplify]: Simplify 0 into 0 11.240 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 11.240 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 11.240 * [backup-simplify]: Simplify (* N (* N N)) into (pow N 3) 11.240 * [approximate]: Taking taylor expansion of (pow N 3) in (N) around 0 11.240 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.240 * [taylor]: Taking taylor expansion of N in N 11.240 * [backup-simplify]: Simplify 0 into 0 11.240 * [backup-simplify]: Simplify 1 into 1 11.240 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.240 * [taylor]: Taking taylor expansion of N in N 11.240 * [backup-simplify]: Simplify 0 into 0 11.240 * [backup-simplify]: Simplify 1 into 1 11.240 * [backup-simplify]: Simplify (* 1 1) into 1 11.240 * [backup-simplify]: Simplify (* 1 1) into 1 11.241 * [backup-simplify]: Simplify 1 into 1 11.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.241 * [backup-simplify]: Simplify 0 into 0 11.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.242 * [backup-simplify]: Simplify 0 into 0 11.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.244 * [backup-simplify]: Simplify 0 into 0 11.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.245 * [backup-simplify]: Simplify 0 into 0 11.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.247 * [backup-simplify]: Simplify 0 into 0 11.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.248 * [backup-simplify]: Simplify 0 into 0 11.248 * [backup-simplify]: Simplify (* 1 (pow N 3)) into (pow N 3) 11.249 * [backup-simplify]: Simplify (* (/ 1 N) (* (/ 1 N) (/ 1 N))) into (/ 1 (pow N 3)) 11.249 * [approximate]: Taking taylor expansion of (/ 1 (pow N 3)) in (N) around 0 11.249 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 11.249 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.249 * [taylor]: Taking taylor expansion of N in N 11.249 * [backup-simplify]: Simplify 0 into 0 11.249 * [backup-simplify]: Simplify 1 into 1 11.249 * [backup-simplify]: Simplify (* 1 1) into 1 11.249 * [backup-simplify]: Simplify (* 1 1) into 1 11.249 * [backup-simplify]: Simplify (/ 1 1) into 1 11.249 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 11.249 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.249 * [taylor]: Taking taylor expansion of N in N 11.249 * [backup-simplify]: Simplify 0 into 0 11.249 * [backup-simplify]: Simplify 1 into 1 11.250 * [backup-simplify]: Simplify (* 1 1) into 1 11.250 * [backup-simplify]: Simplify (* 1 1) into 1 11.250 * [backup-simplify]: Simplify (/ 1 1) into 1 11.250 * [backup-simplify]: Simplify 1 into 1 11.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.251 * [backup-simplify]: Simplify 0 into 0 11.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.253 * [backup-simplify]: Simplify 0 into 0 11.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.255 * [backup-simplify]: Simplify 0 into 0 11.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.258 * [backup-simplify]: Simplify 0 into 0 11.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.262 * [backup-simplify]: Simplify 0 into 0 11.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.266 * [backup-simplify]: Simplify 0 into 0 11.266 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 N)) 3)) into (pow N 3) 11.266 * [backup-simplify]: Simplify (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N)))) into (/ -1 (pow N 3)) 11.266 * [approximate]: Taking taylor expansion of (/ -1 (pow N 3)) in (N) around 0 11.266 * [taylor]: Taking taylor expansion of (/ -1 (pow N 3)) in N 11.266 * [taylor]: Taking taylor expansion of -1 in N 11.267 * [backup-simplify]: Simplify -1 into -1 11.267 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.267 * [taylor]: Taking taylor expansion of N in N 11.267 * [backup-simplify]: Simplify 0 into 0 11.267 * [backup-simplify]: Simplify 1 into 1 11.267 * [backup-simplify]: Simplify (* 1 1) into 1 11.267 * [backup-simplify]: Simplify (* 1 1) into 1 11.268 * [backup-simplify]: Simplify (/ -1 1) into -1 11.268 * [taylor]: Taking taylor expansion of (/ -1 (pow N 3)) in N 11.268 * [taylor]: Taking taylor expansion of -1 in N 11.268 * [backup-simplify]: Simplify -1 into -1 11.268 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.268 * [taylor]: Taking taylor expansion of N in N 11.268 * [backup-simplify]: Simplify 0 into 0 11.268 * [backup-simplify]: Simplify 1 into 1 11.268 * [backup-simplify]: Simplify (* 1 1) into 1 11.269 * [backup-simplify]: Simplify (* 1 1) into 1 11.269 * [backup-simplify]: Simplify (/ -1 1) into -1 11.269 * [backup-simplify]: Simplify -1 into -1 11.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.271 * [backup-simplify]: Simplify 0 into 0 11.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.274 * [backup-simplify]: Simplify 0 into 0 11.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.278 * [backup-simplify]: Simplify 0 into 0 11.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.281 * [backup-simplify]: Simplify 0 into 0 11.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.285 * [backup-simplify]: Simplify 0 into 0 11.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.290 * [backup-simplify]: Simplify 0 into 0 11.290 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (/ 1 (- N))) 3)) into (pow N 3) 11.290 * * * [progress]: simplifying candidates 11.295 * [simplify]: Simplifying: (expm1 (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (log1p (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (exp (/ 0.3333333333333333 (* N (* N N)))) (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N))))) (* (exp (/ 0.3333333333333333 (* N (* N N)))) (exp (- (/ 1.0 N) (/ 0.5 (* N N))))) (log (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (exp (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (cbrt (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))))) (cbrt (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (* (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (+ (* 0.3333333333333333 (* N (* N N))) (* (* N (* N N)) (- (* 1.0 (* N N)) (* N 0.5)))) (* (* N (* N N)) (* N (* N N))) (+ (* 0.3333333333333333 (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N)))))) (* (* N (* N N)) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (* (* N (* N N)) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N)))))) (+ (* 0.3333333333333333 (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (* N (* N N)) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))))) (* (* N (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (+ (pow (/ 0.3333333333333333 (* N (* N N))) 3) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3)) (+ (* (/ 0.3333333333333333 (* N (* N N))) (/ 0.3333333333333333 (* N (* N N)))) (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))))) (- (* (/ 0.3333333333333333 (* N (* N N))) (/ 0.3333333333333333 (* N (* N N)))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (- (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))))))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 0.5 N) (/ 1 N))))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 0.5 (* N N)) 1)))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5)))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))))))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (- (* (/ 0.5 N) (/ 1 N))))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (- (* (/ 0.5 (* N N)) 1)))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5)))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))))))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (- (* (/ 0.5 N) (/ 1 N))))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (- (* (/ 0.5 (* N N)) 1)))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) (/ (cbrt 1.0) (cbrt N)) (- (* (/ 1 (* N N)) 0.5)))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) (/ (cbrt 1.0) (sqrt N)) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) (/ (cbrt 1.0) (sqrt N)) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))))))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) (/ (cbrt 1.0) (sqrt N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) (/ (cbrt 1.0) (sqrt N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))))) (+ (/ 0.3333333333333333 (* N (* N N))) (fma (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) (/ (cbrt 1.0) (sqrt N)) (- (* (/ 0.5 N) (/ 1 N))))) (+ (/ 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N))) (sqrt (* N (* N N))) (* (sqrt N) N) (* (sqrt N) N) (* N N) (* (cbrt N) (* N N)) (* (sqrt N) (* N N)) (* N (* N N)) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (pow N 3) (pow N 3) (pow N 3) 11.305 * * [simplify]: Extracting # 0 : cost 187 inf + 0 11.306 * * [simplify]: Extracting # 1 : cost 329 inf + 0 11.309 * * [simplify]: Extracting # 2 : cost 320 inf + 4932 11.313 * * [simplify]: Extracting # 3 : cost 261 inf + 17867 11.319 * * [simplify]: Extracting # 4 : cost 207 inf + 30817 11.330 * * [simplify]: Extracting # 5 : cost 108 inf + 72366 11.342 * * [simplify]: Extracting # 6 : cost 14 inf + 117723 11.358 * * [simplify]: Extracting # 7 : cost 0 inf + 125815 11.374 * * [simplify]: iteration 0 : 386 enodes (cost 75554 ) 11.517 * * [simplify]: Extracting # 0 : cost 0 inf + 125815 11.535 * * [simplify]: Extracting # 1 : cost 148 inf + 122590 11.574 * * [simplify]: Extracting # 2 : cost 8 inf + 147494 11.607 * * [simplify]: Extracting # 3 : cost 5 inf + 141904 11.654 * * [simplify]: Extracting # 4 : cost 0 inf + 143024 11.679 * * [simplify]: iteration 1 : 926 enodes (cost 69659 ) 12.155 * * [simplify]: Extracting # 0 : cost 0 inf + 143024 12.199 * * [simplify]: Extracting # 1 : cost 631 inf + 133128 12.265 * * [simplify]: Extracting # 2 : cost 20 inf + 257269 12.373 * * [simplify]: Extracting # 3 : cost 3 inf + 253407 12.452 * * [simplify]: Extracting # 4 : cost 0 inf + 253836 12.544 * * [simplify]: iteration 2 : 2614 enodes (cost 60597 ) 13.234 * * [simplify]: Extracting # 0 : cost 0 inf + 253836 13.446 * * [simplify]: Extracting # 1 : cost 814 inf + 250514 13.682 * * [simplify]: Extracting # 2 : cost 0 inf + 405110 13.890 * * [simplify]: Extracting # 3 : cost 0 inf + 403274 14.140 * * [simplify]: Extracting # 4 : cost 0 inf + 401902 14.341 * * [simplify]: Extracting # 5 : cost 0 inf + 401627 14.560 * * [simplify]: iteration complete: 5004 enodes (cost 59092 ) 14.562 * [simplify]: Simplified to: (expm1 (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (log1p (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (exp (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (exp (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (log (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (exp (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (cbrt (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))))) (cbrt (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 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(* N N))) (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ (/ 1 N) N) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (expm1 (/ 0.3333333333333333 (* N (* N N)))) (log1p (/ 0.3333333333333333 (* N (* N N)))) (log (/ 0.3333333333333333 (* (* N N) N))) (log (/ 0.3333333333333333 (* (* N N) N))) (log (/ 0.3333333333333333 (* (* N N) N))) (log (/ 0.3333333333333333 (* (* N N) N))) (exp (/ 0.3333333333333333 (* N (* N N)))) (* (* (/ 0.3333333333333333 (* (* N N) N)) (/ 0.3333333333333333 (* (* N N) N))) (/ 0.3333333333333333 (* (* N N) N))) (* (* (/ 0.3333333333333333 (* (* N N) N)) (/ 0.3333333333333333 (* (* N N) N))) (/ 0.3333333333333333 (* (* N N) N))) (* (* (/ 0.3333333333333333 (* (* N N) N)) (/ 0.3333333333333333 (* (* N N) N))) (/ 0.3333333333333333 (* (* N N) N))) (* (cbrt (/ 0.3333333333333333 (* N (* N N)))) (cbrt (/ 0.3333333333333333 (* N (* N N))))) (cbrt (/ 0.3333333333333333 (* N (* N N)))) (* (* (/ 0.3333333333333333 (* (* N N) N)) (/ 0.3333333333333333 (* (* N N) N))) (/ 0.3333333333333333 (* (* N N) N))) (sqrt (/ 0.3333333333333333 (* N (* N N)))) (sqrt (/ 0.3333333333333333 (* N (* N N)))) (- 0.3333333333333333) (- (* N (* N N))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (* (* N N) N)) (/ (* N (* N N)) 0.3333333333333333) (/ 0.3333333333333333 N) (/ (* N (* N N)) (cbrt 0.3333333333333333)) (/ (* N (* N N)) (sqrt 0.3333333333333333)) (/ (* N (* N N)) 0.3333333333333333) (expm1 (* N (* N N))) (log1p (* N (* N N))) 3 3 3 3 (* (* N N) N) (* (* N N) N) (* 3 (log N)) (* 3 (log N)) (* 3 (log N)) (exp (* N (* N N))) (* (* (* N (* N N)) (* N (* N N))) (* N (* N N))) (* (* (* N (* N N)) (* N (* N N))) (* N (* N N))) (* N N) N (* (* (* N (* N N)) (* N (* N N))) (* N (* N N))) (sqrt (* N (* N N))) (sqrt (* N (* N N))) (* (sqrt N) N) (* (sqrt N) N) (* N N) (* (cbrt N) (* N N)) (* (sqrt N) (* N N)) (* (* N N) N) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (* (* N N) N))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (* (* N N) N))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (* (* N N) N))) (/ 0.5 (* N N))) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.3333333333333333 (* (* N N) N)) (/ 0.3333333333333333 (* (* N N) N)) (/ 0.3333333333333333 (* (* N N) N)) (* (* N N) N) (* (* N N) N) (* (* N N) N) 14.580 * * * [progress]: adding candidates to table 15.489 * [progress]: [Phase 3 of 3] Extracting. 15.489 * * [regime]: Finding splitpoints for: (# # # #) 15.490 * * * [regime-changes]: Trying 1 branch expressions: (N) 15.490 * * * * [regimes]: Trying to branch on N from (# # # #) 15.528 * * * [regime]: Found split indices: #