18.036 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.089 * * * [progress]: [2/2] Setting up program. 0.093 * [progress]: [Phase 2 of 3] Improving. 0.093 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.093 * * [simplify]: Extracting # 0 : cost 0 0.094 * * [simplify]: Extracting # 1 : cost 0 0.094 * * [simplify]: Extracting # 2 : cost 0 0.094 * * [simplify]: Extracting # 3 : cost 0 0.094 * * [simplify]: Extracting # 4 : cost 0 0.094 * * [simplify]: Extracting # 5 : cost 0 0.094 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.096 * * [simplify]: Extracting # 0 : cost 0 0.096 * * [simplify]: Extracting # 1 : cost 0 0.096 * * [simplify]: Extracting # 2 : cost 0 0.096 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.098 * * [simplify]: Extracting # 0 : cost 0 0.098 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.100 * * [simplify]: Extracting # 0 : cost 0 0.101 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.101 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.101 * * [progress]: iteration 1 / 4 0.101 * * * [progress]: picking best candidate 0.103 * * * * [pick]: Picked # 0.104 * * * [progress]: localizing error 0.112 * * * [progress]: generating rewritten candidates 0.112 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.129 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.137 * * * [progress]: generating series expansions 0.137 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.138 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.138 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.138 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.138 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.138 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of 1.0 in N 0.138 * [backup-simplify]: Simplify 1.0 into 1.0 0.139 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.139 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.139 * [taylor]: Taking taylor expansion of (log N) in N 0.139 * [taylor]: Taking taylor expansion of N in N 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (log 1) into 0 0.140 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.140 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.140 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.140 * [taylor]: Taking taylor expansion of N in N 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of 1.0 in N 0.140 * [backup-simplify]: Simplify 1.0 into 1.0 0.140 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.141 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.141 * [taylor]: Taking taylor expansion of (log N) in N 0.141 * [taylor]: Taking taylor expansion of N in N 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (log 1) into 0 0.142 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.142 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.142 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.157 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.158 * [backup-simplify]: Simplify (+ 1 0) into 1 0.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.163 * [backup-simplify]: Simplify (- 0) into 0 0.163 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.163 * [backup-simplify]: Simplify 1.0 into 1.0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [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)) 0.182 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.182 * [backup-simplify]: Simplify (- 0) into 0 0.184 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.188 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.192 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.192 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.192 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.192 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.192 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.192 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.192 * [taylor]: Taking taylor expansion of N in N 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [taylor]: Taking taylor expansion of 1.0 in N 0.193 * [backup-simplify]: Simplify 1.0 into 1.0 0.193 * [backup-simplify]: Simplify (+ 1 0) into 1 0.194 * [backup-simplify]: Simplify (log 1) into 0 0.194 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [backup-simplify]: Simplify (log 1) into 0 0.195 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.195 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.195 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.195 * [taylor]: Taking taylor expansion of N in N 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [taylor]: Taking taylor expansion of 1.0 in N 0.195 * [backup-simplify]: Simplify 1.0 into 1.0 0.196 * [backup-simplify]: Simplify (+ 1 0) into 1 0.196 * [backup-simplify]: Simplify (log 1) into 0 0.196 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.196 * [taylor]: Taking taylor expansion of N in N 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [backup-simplify]: Simplify (log 1) into 0 0.198 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.198 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.198 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.198 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.206 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.208 * [backup-simplify]: Simplify (- 0) into 0 0.209 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.209 * [backup-simplify]: Simplify 1.0 into 1.0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [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 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.229 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [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 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.253 * [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 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.254 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.255 * [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)))) 0.255 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.255 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.255 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.255 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.255 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.255 * [taylor]: Taking taylor expansion of 1.0 in N 0.255 * [backup-simplify]: Simplify 1.0 into 1.0 0.255 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.255 * [taylor]: Taking taylor expansion of N in N 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [backup-simplify]: Simplify (- 1) into -1 0.256 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.256 * [backup-simplify]: Simplify (log -1) into (log -1) 0.256 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.256 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.256 * [taylor]: Taking taylor expansion of -1 in N 0.256 * [backup-simplify]: Simplify -1 into -1 0.256 * [taylor]: Taking taylor expansion of N in N 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ -1 1) into -1 0.257 * [backup-simplify]: Simplify (log -1) into (log -1) 0.257 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.257 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.257 * [taylor]: Taking taylor expansion of 1.0 in N 0.257 * [backup-simplify]: Simplify 1.0 into 1.0 0.257 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.257 * [taylor]: Taking taylor expansion of N in N 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [backup-simplify]: Simplify (- 1) into -1 0.258 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.258 * [backup-simplify]: Simplify (log -1) into (log -1) 0.258 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.258 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.258 * [taylor]: Taking taylor expansion of -1 in N 0.258 * [backup-simplify]: Simplify -1 into -1 0.258 * [taylor]: Taking taylor expansion of N in N 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ -1 1) into -1 0.259 * [backup-simplify]: Simplify (log -1) into (log -1) 0.259 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.260 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.260 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.261 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.262 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.268 * [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) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [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 0.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.278 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.278 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [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 0.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [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 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.300 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.301 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.302 * [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)))) 0.302 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.302 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.302 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.302 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.302 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.302 * [taylor]: Taking taylor expansion of N in N 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [taylor]: Taking taylor expansion of 1.0 in N 0.302 * [backup-simplify]: Simplify 1.0 into 1.0 0.302 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.302 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.303 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.303 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.303 * [taylor]: Taking taylor expansion of N in N 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of 1.0 in N 0.303 * [backup-simplify]: Simplify 1.0 into 1.0 0.303 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.303 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.303 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.304 * [backup-simplify]: Simplify (+ 1 0) into 1 0.307 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.307 * [backup-simplify]: Simplify 1.0 into 1.0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [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)) 0.313 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.315 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.315 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.315 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.315 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.315 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.315 * [taylor]: Taking taylor expansion of N in N 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [taylor]: Taking taylor expansion of 1.0 in N 0.315 * [backup-simplify]: Simplify 1.0 into 1.0 0.315 * [backup-simplify]: Simplify (+ 1 0) into 1 0.316 * [backup-simplify]: Simplify (log 1) into 0 0.316 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.316 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.316 * [taylor]: Taking taylor expansion of N in N 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [taylor]: Taking taylor expansion of 1.0 in N 0.316 * [backup-simplify]: Simplify 1.0 into 1.0 0.317 * [backup-simplify]: Simplify (+ 1 0) into 1 0.317 * [backup-simplify]: Simplify (log 1) into 0 0.317 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.317 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.322 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.322 * [backup-simplify]: Simplify 1.0 into 1.0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [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 0.332 * [backup-simplify]: Simplify -0.5 into -0.5 0.333 * [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)))) 0.333 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.333 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.333 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.333 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.333 * [taylor]: Taking taylor expansion of 1.0 in N 0.333 * [backup-simplify]: Simplify 1.0 into 1.0 0.333 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.333 * [taylor]: Taking taylor expansion of N in N 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [backup-simplify]: Simplify (- 1) into -1 0.335 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.335 * [backup-simplify]: Simplify (log -1) into (log -1) 0.335 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.335 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.335 * [taylor]: Taking taylor expansion of 1.0 in N 0.335 * [backup-simplify]: Simplify 1.0 into 1.0 0.335 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.335 * [taylor]: Taking taylor expansion of N in N 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [backup-simplify]: Simplify (- 1) into -1 0.336 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.337 * [backup-simplify]: Simplify (log -1) into (log -1) 0.337 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.338 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.345 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.345 * [backup-simplify]: Simplify -1.0 into -1.0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [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 0.359 * [backup-simplify]: Simplify -0.5 into -0.5 0.360 * [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)))) 0.360 * * * [progress]: simplifying candidates 0.362 * [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))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 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 N) (log 1.0)) (* 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)))) 0.365 * * [simplify]: Extracting # 0 : cost 0 0.365 * * [simplify]: Extracting # 1 : cost 0 0.365 * * [simplify]: Extracting # 2 : cost 0 0.365 * * [simplify]: Extracting # 3 : cost 0 0.366 * * [simplify]: Extracting # 4 : cost 0 0.366 * * [simplify]: Extracting # 5 : cost 0 0.366 * * [simplify]: Extracting # 6 : cost 0 0.367 * * [simplify]: Extracting # 7 : cost 0 0.367 * * [simplify]: Extracting # 8 : cost 0 0.367 * * [simplify]: Extracting # 9 : cost 0 0.367 * * [simplify]: iteration 0 : 127 enodes (cost 1052 ) 0.435 * * [simplify]: Extracting # 0 : cost 0 0.436 * * [simplify]: Extracting # 1 : cost 0 0.436 * * [simplify]: Extracting # 2 : cost 0 0.437 * * [simplify]: Extracting # 3 : cost 0 0.437 * * [simplify]: Extracting # 4 : cost 0 0.438 * * [simplify]: iteration 1 : 277 enodes (cost 855 ) 0.560 * * [simplify]: Extracting # 0 : cost 0 0.561 * * [simplify]: Extracting # 1 : cost 0 0.562 * * [simplify]: Extracting # 2 : cost 0 0.563 * * [simplify]: Extracting # 3 : cost 0 0.564 * * [simplify]: Extracting # 4 : cost 0 0.565 * * [simplify]: iteration 2 : 666 enodes (cost 705 ) 1.109 * * [simplify]: Extracting # 0 : cost 0 1.111 * * [simplify]: Extracting # 1 : cost 0 1.114 * * [simplify]: Extracting # 2 : cost 0 1.121 * * [simplify]: Extracting # 3 : cost 0 1.124 * * [simplify]: iteration 3 : 2050 enodes (cost 614 ) 3.917 * * [simplify]: Extracting # 0 : cost 0 3.928 * * [simplify]: Extracting # 1 : cost 0 3.936 * * [simplify]: Extracting # 2 : cost 0 3.945 * * [simplify]: Extracting # 3 : cost 0 3.961 * * [simplify]: Extracting # 4 : cost 0 3.969 * * [simplify]: iteration done: 5000 enodes (cost 592 ) 3.970 * [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))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (fma (log N) (log N) (* (log (+ N 1.0)) (+ (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)) (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 N) (log (fma N N (* 1.0 (- 1.0 N))))) (+ (log (- N 1.0)) (log N)) (- (log N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (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 (+ (pow N 3) (pow 1.0 3))) (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))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ -1/2 1.0) (/ (* N N) 1.0) (fma 1.0 N (log 1.0))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) 3.972 * * * [progress]: adding candidates to table 4.139 * * [progress]: iteration 2 / 4 4.139 * * * [progress]: picking best candidate 4.145 * * * * [pick]: Picked # 4.145 * * * [progress]: localizing error 4.159 * * * [progress]: generating rewritten candidates 4.159 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 4.170 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 4.171 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 4.211 * * * [progress]: generating series expansions 4.211 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 4.211 * [backup-simplify]: Simplify (/ 1 (pow N 2)) into (/ 1 (pow N 2)) 4.212 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 4.212 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.212 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.212 * [taylor]: Taking taylor expansion of N in N 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify 1 into 1 4.212 * [backup-simplify]: Simplify (* 1 1) into 1 4.213 * [backup-simplify]: Simplify (/ 1 1) into 1 4.213 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.213 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.213 * [taylor]: Taking taylor expansion of N in N 4.213 * [backup-simplify]: Simplify 0 into 0 4.213 * [backup-simplify]: Simplify 1 into 1 4.213 * [backup-simplify]: Simplify (* 1 1) into 1 4.213 * [backup-simplify]: Simplify (/ 1 1) into 1 4.213 * [backup-simplify]: Simplify 1 into 1 4.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.214 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.216 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.218 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.221 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.227 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.230 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 4.231 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 N) 2)) into (pow N 2) 4.231 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 4.231 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.231 * [taylor]: Taking taylor expansion of N in N 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 1 into 1 4.231 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.231 * [taylor]: Taking taylor expansion of N in N 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 1 into 1 4.232 * [backup-simplify]: Simplify (* 1 1) into 1 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.232 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.233 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.234 * [backup-simplify]: Simplify 0 into 0 4.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.235 * [backup-simplify]: Simplify 0 into 0 4.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.237 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.238 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 4.239 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 (- N)) 2)) into (pow N 2) 4.239 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 4.239 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.239 * [taylor]: Taking taylor expansion of N in N 4.239 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify 1 into 1 4.239 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.239 * [taylor]: Taking taylor expansion of N in N 4.239 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify 1 into 1 4.240 * [backup-simplify]: Simplify (* 1 1) into 1 4.240 * [backup-simplify]: Simplify 1 into 1 4.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.240 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.241 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.243 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.244 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.246 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 4.248 * * * * [progress]: [ 2 / 3 ] generating series at (2) 4.249 * [backup-simplify]: Simplify (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) into (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) 4.249 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in (N) around 0 4.249 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 4.249 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 4.249 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 4.249 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.249 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.249 * [taylor]: Taking taylor expansion of N in N 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify 1 into 1 4.250 * [backup-simplify]: Simplify (* 1 1) into 1 4.250 * [backup-simplify]: Simplify (/ 1 1) into 1 4.250 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 4.250 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 4.250 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.250 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.250 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.250 * [taylor]: Taking taylor expansion of N in N 4.250 * [backup-simplify]: Simplify 0 into 0 4.250 * [backup-simplify]: Simplify 1 into 1 4.251 * [backup-simplify]: Simplify (/ 1 1) into 1 4.251 * [taylor]: Taking taylor expansion of 0.5 in N 4.251 * [backup-simplify]: Simplify 0.5 into 0.5 4.251 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 4.251 * [taylor]: Taking taylor expansion of 1.0 in N 4.251 * [backup-simplify]: Simplify 1.0 into 1.0 4.251 * [taylor]: Taking taylor expansion of N in N 4.251 * [backup-simplify]: Simplify 0 into 0 4.251 * [backup-simplify]: Simplify 1 into 1 4.252 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.252 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 4.252 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 4.252 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 4.252 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.252 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.252 * [taylor]: Taking taylor expansion of N in N 4.252 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify 1 into 1 4.252 * [backup-simplify]: Simplify (* 1 1) into 1 4.253 * [backup-simplify]: Simplify (/ 1 1) into 1 4.253 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 4.253 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 4.253 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.253 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.253 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.253 * [taylor]: Taking taylor expansion of N in N 4.253 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify 1 into 1 4.253 * [backup-simplify]: Simplify (/ 1 1) into 1 4.253 * [taylor]: Taking taylor expansion of 0.5 in N 4.253 * [backup-simplify]: Simplify 0.5 into 0.5 4.254 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 4.254 * [taylor]: Taking taylor expansion of 1.0 in N 4.254 * [backup-simplify]: Simplify 1.0 into 1.0 4.254 * [taylor]: Taking taylor expansion of N in N 4.254 * [backup-simplify]: Simplify 0 into 0 4.254 * [backup-simplify]: Simplify 1 into 1 4.254 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.255 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 4.255 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.256 * [backup-simplify]: Simplify (* 1 0.3333333333333333) into 0.3333333333333333 4.256 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.256 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.258 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 4.258 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.259 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.262 * [backup-simplify]: Simplify (+ (* 1 (- 0.5)) (* 0 0.3333333333333333)) into (- 0.5) 4.263 * [backup-simplify]: Simplify (+ (- 0.5) 0) into (- 0.5) 4.264 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.266 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 4.266 * [backup-simplify]: Simplify (- 0) into 0 4.266 * [backup-simplify]: Simplify (+ 0 0) into 0 4.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 0.3333333333333333))) into 0 4.270 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.270 * [backup-simplify]: Simplify 1.0 into 1.0 4.271 * [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)))) 4.272 * [backup-simplify]: Simplify (fma (/ 1 (pow (/ 1 N) 2)) (- (/ 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 (/ 1 N))) into (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) 4.272 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in (N) around 0 4.272 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 4.273 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 4.273 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 4.273 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.273 * [taylor]: Taking taylor expansion of N in N 4.273 * [backup-simplify]: Simplify 0 into 0 4.273 * [backup-simplify]: Simplify 1 into 1 4.273 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 4.273 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 4.273 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.273 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.273 * [taylor]: Taking taylor expansion of N in N 4.273 * [backup-simplify]: Simplify 0 into 0 4.273 * [backup-simplify]: Simplify 1 into 1 4.273 * [taylor]: Taking taylor expansion of 0.5 in N 4.273 * [backup-simplify]: Simplify 0.5 into 0.5 4.273 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.273 * [taylor]: Taking taylor expansion of 1.0 in N 4.273 * [backup-simplify]: Simplify 1.0 into 1.0 4.273 * [taylor]: Taking taylor expansion of N in N 4.273 * [backup-simplify]: Simplify 0 into 0 4.273 * [backup-simplify]: Simplify 1 into 1 4.273 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 4.274 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 4.274 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 4.274 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.274 * [taylor]: Taking taylor expansion of N in N 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 1 into 1 4.274 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 4.274 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 4.274 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.274 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.274 * [taylor]: Taking taylor expansion of N in N 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 1 into 1 4.274 * [taylor]: Taking taylor expansion of 0.5 in N 4.274 * [backup-simplify]: Simplify 0.5 into 0.5 4.274 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.274 * [taylor]: Taking taylor expansion of 1.0 in N 4.274 * [backup-simplify]: Simplify 1.0 into 1.0 4.274 * [taylor]: Taking taylor expansion of N in N 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 1 into 1 4.275 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.276 * [backup-simplify]: Simplify (+ 0 0) into 0 4.276 * [backup-simplify]: Simplify 0 into 0 4.277 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.278 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.278 * [backup-simplify]: Simplify 1.0 into 1.0 4.278 * [backup-simplify]: Simplify (* 1 1) into 1 4.279 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 4.279 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.280 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.281 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 4.282 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.283 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 4.283 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.285 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 4.285 * [backup-simplify]: Simplify (- 0) into 0 4.285 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.288 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 (- 0.5))) into 0.3333333333333333 4.289 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.289 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.289 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.291 * [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)))) 4.292 * [backup-simplify]: Simplify (fma (/ 1 (pow (/ 1 (- N)) 2)) (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5) (/ 1.0 (/ 1 (- N)))) into (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) 4.292 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in (N) around 0 4.292 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 4.292 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 4.292 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 4.292 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.292 * [taylor]: Taking taylor expansion of N in N 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 1 into 1 4.292 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 4.292 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 4.292 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 4.292 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.292 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.292 * [taylor]: Taking taylor expansion of N in N 4.292 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify 1 into 1 4.293 * [taylor]: Taking taylor expansion of 0.5 in N 4.293 * [backup-simplify]: Simplify 0.5 into 0.5 4.293 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 4.293 * [taylor]: Taking taylor expansion of -1.0 in N 4.293 * [backup-simplify]: Simplify -1.0 into -1.0 4.293 * [taylor]: Taking taylor expansion of N in N 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify 1 into 1 4.293 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 4.293 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 4.293 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 4.293 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.293 * [taylor]: Taking taylor expansion of N in N 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify 1 into 1 4.293 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 4.293 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 4.293 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 4.293 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.293 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.294 * [taylor]: Taking taylor expansion of N in N 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify 1 into 1 4.294 * [taylor]: Taking taylor expansion of 0.5 in N 4.294 * [backup-simplify]: Simplify 0.5 into 0.5 4.294 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 4.294 * [taylor]: Taking taylor expansion of -1.0 in N 4.294 * [backup-simplify]: Simplify -1.0 into -1.0 4.294 * [taylor]: Taking taylor expansion of N in N 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify 1 into 1 4.295 * [backup-simplify]: Simplify (* -1.0 0) into 0 4.295 * [backup-simplify]: Simplify (+ 0 0) into 0 4.295 * [backup-simplify]: Simplify 0 into 0 4.297 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 4.298 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.298 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.299 * [backup-simplify]: Simplify (* 1 1) into 1 4.299 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 4.300 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 4.300 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.301 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 4.302 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.303 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 4.303 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.305 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 4.305 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.305 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 4.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.306 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.309 * [backup-simplify]: Simplify (+ (* 1 (- 0.3333333333333333)) (* 0 (- 0.5))) into (- 0.3333333333333333) 4.310 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.311 * [backup-simplify]: Simplify (+ (- 0.3333333333333333) 0) into (- 0.3333333333333333) 4.311 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 4.313 * [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)))) 4.313 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 4.313 * [backup-simplify]: Simplify (- (/ 0.3333333333333333 N) 0.5) into (- (* 0.3333333333333333 (/ 1 N)) 0.5) 4.313 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in (N) around 0 4.313 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 4.313 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 4.313 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.313 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.313 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.313 * [taylor]: Taking taylor expansion of N in N 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.314 * [backup-simplify]: Simplify (/ 1 1) into 1 4.314 * [taylor]: Taking taylor expansion of 0.5 in N 4.314 * [backup-simplify]: Simplify 0.5 into 0.5 4.314 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 4.314 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 4.314 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.314 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.314 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.314 * [taylor]: Taking taylor expansion of N in N 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify 1 into 1 4.315 * [backup-simplify]: Simplify (/ 1 1) into 1 4.315 * [taylor]: Taking taylor expansion of 0.5 in N 4.315 * [backup-simplify]: Simplify 0.5 into 0.5 4.315 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 4.316 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.316 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.318 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 4.318 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.319 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.319 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.321 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 4.321 * [backup-simplify]: Simplify (- 0) into 0 4.322 * [backup-simplify]: Simplify (+ 0 0) into 0 4.322 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.323 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.323 * [backup-simplify]: Simplify (- 0) into 0 4.324 * [backup-simplify]: Simplify (+ 0 0) into 0 4.324 * [backup-simplify]: Simplify 0 into 0 4.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.325 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.325 * [backup-simplify]: Simplify (- 0) into 0 4.325 * [backup-simplify]: Simplify (+ 0 0) into 0 4.325 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.327 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.327 * [backup-simplify]: Simplify (- 0) into 0 4.327 * [backup-simplify]: Simplify (+ 0 0) into 0 4.327 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.328 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.329 * [backup-simplify]: Simplify (- 0) into 0 4.329 * [backup-simplify]: Simplify (+ 0 0) into 0 4.329 * [backup-simplify]: Simplify 0 into 0 4.329 * [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 4.330 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 4.331 * [backup-simplify]: Simplify (- 0) into 0 4.331 * [backup-simplify]: Simplify (+ 0 0) into 0 4.331 * [backup-simplify]: Simplify 0 into 0 4.331 * [backup-simplify]: Simplify (+ (- 0.5) (* 0.3333333333333333 (/ 1 N))) into (- (* 0.3333333333333333 (/ 1 N)) 0.5) 4.331 * [backup-simplify]: Simplify (- (/ 0.3333333333333333 (/ 1 N)) 0.5) into (- (* 0.3333333333333333 N) 0.5) 4.331 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in (N) around 0 4.331 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 4.331 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 4.332 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.332 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.332 * [taylor]: Taking taylor expansion of N in N 4.332 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify 1 into 1 4.332 * [taylor]: Taking taylor expansion of 0.5 in N 4.332 * [backup-simplify]: Simplify 0.5 into 0.5 4.332 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 4.332 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 4.332 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.332 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.332 * [taylor]: Taking taylor expansion of N in N 4.332 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify 1 into 1 4.332 * [taylor]: Taking taylor expansion of 0.5 in N 4.332 * [backup-simplify]: Simplify 0.5 into 0.5 4.332 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 4.333 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.333 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.333 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.334 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 4.334 * [backup-simplify]: Simplify (- 0) into 0 4.335 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.335 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.335 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 4.336 * [backup-simplify]: Simplify (- 0) into 0 4.336 * [backup-simplify]: Simplify (+ 0 0) into 0 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.337 * [backup-simplify]: Simplify (- 0) into 0 4.337 * [backup-simplify]: Simplify (+ 0 0) into 0 4.337 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.338 * [backup-simplify]: Simplify (- 0) into 0 4.338 * [backup-simplify]: Simplify (+ 0 0) into 0 4.338 * [backup-simplify]: Simplify 0 into 0 4.342 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.343 * [backup-simplify]: Simplify (- 0) into 0 4.343 * [backup-simplify]: Simplify (+ 0 0) into 0 4.343 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.344 * [backup-simplify]: Simplify (- 0) into 0 4.345 * [backup-simplify]: Simplify (+ 0 0) into 0 4.345 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.346 * [backup-simplify]: Simplify (- 0) into 0 4.346 * [backup-simplify]: Simplify (+ 0 0) into 0 4.346 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (/ 1 N)) (- 0.5)) into (- (* 0.3333333333333333 (/ 1 N)) 0.5) 4.347 * [backup-simplify]: Simplify (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5) into (- (+ (* 0.3333333333333333 N) 0.5)) 4.347 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in (N) around 0 4.347 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 4.347 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 4.347 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 4.347 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.347 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.347 * [taylor]: Taking taylor expansion of N in N 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify 1 into 1 4.347 * [taylor]: Taking taylor expansion of 0.5 in N 4.347 * [backup-simplify]: Simplify 0.5 into 0.5 4.347 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 4.347 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 4.347 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 4.347 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.347 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.347 * [taylor]: Taking taylor expansion of N in N 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify 1 into 1 4.347 * [taylor]: Taking taylor expansion of 0.5 in N 4.347 * [backup-simplify]: Simplify 0.5 into 0.5 4.347 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 4.348 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 4.348 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.348 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.349 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 4.349 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.349 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 4.350 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 4.350 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 4.350 * [backup-simplify]: Simplify (+ 0 0) into 0 4.351 * [backup-simplify]: Simplify (- 0) into 0 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.352 * [backup-simplify]: Simplify (+ 0 0) into 0 4.352 * [backup-simplify]: Simplify (- 0) into 0 4.352 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.353 * [backup-simplify]: Simplify (+ 0 0) into 0 4.353 * [backup-simplify]: Simplify (- 0) into 0 4.353 * [backup-simplify]: Simplify 0 into 0 4.354 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.354 * [backup-simplify]: Simplify (+ 0 0) into 0 4.354 * [backup-simplify]: Simplify (- 0) into 0 4.354 * [backup-simplify]: Simplify 0 into 0 4.355 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.356 * [backup-simplify]: Simplify (+ 0 0) into 0 4.356 * [backup-simplify]: Simplify (- 0) into 0 4.356 * [backup-simplify]: Simplify 0 into 0 4.357 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.357 * [backup-simplify]: Simplify (+ 0 0) into 0 4.357 * [backup-simplify]: Simplify (- 0) into 0 4.357 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (/ 1 (- N))) (- 0.5)) into (- (* 0.3333333333333333 (/ 1 N)) 0.5) 4.358 * * * [progress]: simplifying candidates 4.363 * [simplify]: Simplifying: (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) (- 2) (- (* (log N) 2)) (- (* (log N) 2)) (- (log (pow N 2))) (- 0 (* (log N) 2)) (- 0 (* (log N) 2)) (- 0 (log (pow N 2))) (- (log 1) (* (log N) 2)) (- (log 1) (* (log N) 2)) (- (log 1) (log (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (- 1) (- (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 2)) (/ (cbrt 1) (pow (cbrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 2)) (/ (cbrt 1) (pow (sqrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (cbrt 1) (cbrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 2))) (/ (cbrt 1) (sqrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 2 2))) (/ (cbrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 2)) (/ (sqrt 1) (pow (cbrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (sqrt 1) (cbrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow N (/ 2 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (cbrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N 2)) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N 2)) (/ (pow N 2) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N (/ 2 2))) (/ (pow N 2) (cbrt 1)) (/ (pow N 2) (sqrt 1)) (/ (pow N 2) 1) (expm1 (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (log1p (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (log (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (exp (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (* (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (sqrt (/ 0.3333333333333333 N)) (sqrt (/ 0.3333333333333333 N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (sqrt (/ 0.3333333333333333 N)) (sqrt (/ 0.3333333333333333 N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (sqrt (/ 0.3333333333333333 N)) (sqrt (/ 0.3333333333333333 N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) N) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) N) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) N) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) N) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 0.3333333333333333 (cbrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 0.3333333333333333 (cbrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 0.3333333333333333 (cbrt N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ 1 1) (/ 0.3333333333333333 N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ 1 1) (/ 0.3333333333333333 N) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ 1 1) (/ 0.3333333333333333 N) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma 1 (/ 0.3333333333333333 N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma 1 (/ 0.3333333333333333 N) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma 1 (/ 0.3333333333333333 N) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma 0.3333333333333333 (/ 1 N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma 0.3333333333333333 (/ 1 N) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma 0.3333333333333333 (/ 1 N) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (expm1 (- (/ 0.3333333333333333 N) 0.5)) (log1p (- (/ 0.3333333333333333 N) 0.5)) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (/ (exp (/ 0.3333333333333333 N)) (exp 0.5)) (log (- (/ 0.3333333333333333 N) 0.5)) (exp (- (/ 0.3333333333333333 N) 0.5)) (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) (cbrt (- (/ 0.3333333333333333 N) 0.5)) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5)) (sqrt (- (/ 0.3333333333333333 N) 0.5)) (sqrt (- (/ 0.3333333333333333 N) 0.5)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) (- 0.5) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)) (+ (/ 0.3333333333333333 N) 0.5) (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (- (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (- (/ 0.3333333333333333 N) 0.5) (- 0.5) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (+ (* 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)))) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (- (* 0.3333333333333333 (/ 1 N)) 0.5) 4.369 * * [simplify]: Extracting # 0 : cost 0 4.369 * * [simplify]: Extracting # 1 : cost 0 4.370 * * [simplify]: Extracting # 2 : cost 0 4.370 * * [simplify]: Extracting # 3 : cost 0 4.371 * * [simplify]: Extracting # 4 : cost 0 4.371 * * [simplify]: Extracting # 5 : cost 0 4.372 * * [simplify]: Extracting # 6 : cost 0 4.372 * * [simplify]: Extracting # 7 : cost 0 4.373 * * [simplify]: Extracting # 8 : cost 0 4.374 * * [simplify]: iteration 0 : 217 enodes (cost 2158 ) 4.469 * * [simplify]: Extracting # 0 : cost 0 4.470 * * [simplify]: Extracting # 1 : cost 0 4.470 * * [simplify]: Extracting # 2 : cost 0 4.470 * * [simplify]: Extracting # 3 : cost 0 4.471 * * [simplify]: Extracting # 4 : cost 0 4.471 * * [simplify]: iteration 1 : 423 enodes (cost 1629 ) 4.705 * * [simplify]: Extracting # 0 : cost 0 4.707 * * [simplify]: Extracting # 1 : cost 0 4.708 * * [simplify]: Extracting # 2 : cost 0 4.709 * * [simplify]: Extracting # 3 : cost 0 4.711 * * [simplify]: Extracting # 4 : cost 0 4.712 * * [simplify]: iteration 2 : 804 enodes (cost 1336 ) 5.643 * * [simplify]: Extracting # 0 : cost 0 5.646 * * [simplify]: Extracting # 1 : cost 0 5.649 * * [simplify]: Extracting # 2 : cost 0 5.652 * * [simplify]: Extracting # 3 : cost 0 5.655 * * [simplify]: Extracting # 4 : cost 0 5.657 * * [simplify]: iteration 3 : 2686 enodes (cost 1168 ) 6.944 * * [simplify]: Extracting # 0 : cost 0 6.950 * * [simplify]: Extracting # 1 : cost 0 6.956 * * [simplify]: Extracting # 2 : cost 0 6.966 * * [simplify]: Extracting # 3 : cost 0 6.978 * * [simplify]: iteration done: 5001 enodes (cost 1128 ) 6.980 * [simplify]: Simplified to: (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) -2 (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (exp (/ 1 (pow N 2))) (/ 1 (pow N 6)) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (/ 1 (pow N 6)) (fabs (/ 1 N)) (fabs (/ 1 N)) -1 (- (pow N 2)) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ (/ 1 (cbrt (pow N 2))) (cbrt (pow N 2))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ (/ 1 (cbrt (pow N 2))) (cbrt (pow N 2))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ (/ 1 (cbrt (pow N 2))) (cbrt (pow N 2))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ 1 (* N N)) (* N N) (/ 1 (pow (cbrt N) 4)) (/ 1 N) 1 (/ 1 N) (/ (/ 1 (cbrt (pow N 2))) (cbrt (pow N 2))) (/ 1 (fabs N)) 1 (/ 1 N) (* N N) (* N N) (* N N) (expm1 (+ (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (/ 1.0 N))) (log1p (+ (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (/ 1.0 N))) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (log (+ (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (/ 1.0 N))) (exp (+ (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (/ 1.0 N))) (* (cbrt (+ (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (/ 1.0 N))) (cbrt (+ (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (/ 1.0 N)))) (cbrt (+ (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (/ 1.0 N))) (pow (+ (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (/ 1.0 N)) 3) (sqrt (+ (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (/ 1.0 N))) (sqrt (+ (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (/ 1.0 N))) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ (pow (cbrt 0.3333333333333333) 3) N) 0.5) (- 0.5 0.5) (- (/ (pow (cbrt 0.3333333333333333) 3) N) 0.5) (- 0.5 0.5) (- (/ (pow (cbrt 0.3333333333333333) 3) N) 0.5) (- 0.5 0.5) (- (/ (/ (pow (cbrt 0.3333333333333333) 3) (sqrt N)) (sqrt N)) 0.5) (- 0.5 0.5) (- (/ (/ (pow (cbrt 0.3333333333333333) 3) (sqrt N)) (sqrt N)) 0.5) (- 0.5 0.5) (- (/ (/ (pow (cbrt 0.3333333333333333) 3) (sqrt N)) (sqrt N)) 0.5) (- 0.5 0.5) (- (/ (pow (cbrt 0.3333333333333333) 3) N) 0.5) (- 0.5 0.5) (- (/ (pow (cbrt 0.3333333333333333) 3) N) 0.5) (- 0.5 0.5) (- (/ (pow (cbrt 0.3333333333333333) 3) N) 0.5) (- 0.5 0.5) (- (/ (/ 0.3333333333333333 (cbrt N)) (pow (cbrt N) 2)) 0.5) (- 0.5 0.5) (- (/ (/ 0.3333333333333333 (cbrt N)) (pow (cbrt N) 2)) 0.5) (- 0.5 0.5) (- (/ (/ 0.3333333333333333 (cbrt N)) (pow (cbrt N) 2)) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ (/ 0.3333333333333333 (cbrt N)) (pow (cbrt N) 2)) 0.5) (- 0.5 0.5) (- (/ (/ 0.3333333333333333 (cbrt N)) (pow (cbrt N) 2)) 0.5) (- 0.5 0.5) (- (/ (/ 0.3333333333333333 (cbrt N)) (pow (cbrt N) 2)) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (- (/ 0.3333333333333333 N) 0.5) (- 0.5 0.5) (expm1 (- (/ 0.3333333333333333 N) 0.5)) (log1p (- (/ 0.3333333333333333 N) 0.5)) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (exp (- (/ 0.3333333333333333 N) 0.5)) (log (- (/ 0.3333333333333333 N) 0.5)) (exp (- (/ 0.3333333333333333 N) 0.5)) (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) (cbrt (- (/ 0.3333333333333333 N) 0.5)) (pow (- (/ 0.3333333333333333 N) 0.5) 3) (sqrt (- (/ 0.3333333333333333 N) 0.5)) (sqrt (- (/ 0.3333333333333333 N) 0.5)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (fma 0.5 0.5 (* (+ (/ 0.3333333333333333 N) 0.5) (/ 0.3333333333333333 N))) (- 0.5) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)) (+ (/ 0.3333333333333333 N) 0.5) (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (- (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (- (/ 0.3333333333333333 N) 0.5) (- 0.5) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (+ (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (/ 1.0 N)) (+ (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (/ 1.0 N)) (+ (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (/ 1.0 N)) (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5) 6.981 * * * [progress]: adding candidates to table 7.261 * * [progress]: iteration 3 / 4 7.261 * * * [progress]: picking best candidate 7.266 * * * * [pick]: Picked # 7.266 * * * [progress]: localizing error 7.276 * * * [progress]: generating rewritten candidates 7.276 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 7.282 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 7.304 * * * [progress]: generating series expansions 7.304 * * * * [progress]: [ 1 / 2 ] generating series at (2) 7.304 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 7.304 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 7.304 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.304 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.304 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.304 * [taylor]: Taking taylor expansion of N in N 7.304 * [backup-simplify]: Simplify 0 into 0 7.304 * [backup-simplify]: Simplify 1 into 1 7.304 * [taylor]: Taking taylor expansion of 1.0 in N 7.304 * [backup-simplify]: Simplify 1.0 into 1.0 7.304 * [taylor]: Taking taylor expansion of N in N 7.304 * [backup-simplify]: Simplify 0 into 0 7.304 * [backup-simplify]: Simplify 1 into 1 7.305 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.305 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.306 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.306 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.306 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.306 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.306 * [taylor]: Taking taylor expansion of N in N 7.306 * [backup-simplify]: Simplify 0 into 0 7.306 * [backup-simplify]: Simplify 1 into 1 7.306 * [taylor]: Taking taylor expansion of 1.0 in N 7.306 * [backup-simplify]: Simplify 1.0 into 1.0 7.306 * [taylor]: Taking taylor expansion of N in N 7.306 * [backup-simplify]: Simplify 0 into 0 7.306 * [backup-simplify]: Simplify 1 into 1 7.306 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.306 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.307 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.307 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.307 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 7.308 * [backup-simplify]: Simplify (+ 1 0) into 1 7.308 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 7.312 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.312 * [backup-simplify]: Simplify 1.0 into 1.0 7.313 * [backup-simplify]: Simplify (+ 0 0) into 0 7.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.321 * [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)) 7.322 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 7.323 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 7.323 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 7.323 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 7.323 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.323 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.324 * [taylor]: Taking taylor expansion of N in N 7.324 * [backup-simplify]: Simplify 0 into 0 7.324 * [backup-simplify]: Simplify 1 into 1 7.324 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.324 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.324 * [taylor]: Taking taylor expansion of N in N 7.324 * [backup-simplify]: Simplify 0 into 0 7.324 * [backup-simplify]: Simplify 1 into 1 7.324 * [backup-simplify]: Simplify (/ 1 1) into 1 7.324 * [taylor]: Taking taylor expansion of 1.0 in N 7.324 * [backup-simplify]: Simplify 1.0 into 1.0 7.324 * [backup-simplify]: Simplify (+ 1 0) into 1 7.324 * [backup-simplify]: Simplify (* 0 1) into 0 7.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.325 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.325 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.326 * [backup-simplify]: Simplify (log 1) into 0 7.326 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.326 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.326 * [taylor]: Taking taylor expansion of N in N 7.326 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify 1 into 1 7.326 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.326 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.326 * [taylor]: Taking taylor expansion of N in N 7.326 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify 1 into 1 7.326 * [backup-simplify]: Simplify (/ 1 1) into 1 7.326 * [taylor]: Taking taylor expansion of 1.0 in N 7.326 * [backup-simplify]: Simplify 1.0 into 1.0 7.326 * [backup-simplify]: Simplify (+ 1 0) into 1 7.327 * [backup-simplify]: Simplify (* 0 1) into 0 7.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.327 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.328 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.328 * [backup-simplify]: Simplify (log 1) into 0 7.328 * [backup-simplify]: Simplify 0 into 0 7.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.333 * [backup-simplify]: Simplify (+ 0 0) into 0 7.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.338 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.338 * [backup-simplify]: Simplify 1.0 into 1.0 7.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.339 * [backup-simplify]: Simplify (+ 0 0) into 0 7.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 7.345 * [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 7.346 * [backup-simplify]: Simplify -0.5 into -0.5 7.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.346 * [backup-simplify]: Simplify (+ 0 0) into 0 7.348 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 7.365 * [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 7.365 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.366 * [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)))) 7.366 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 7.366 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 7.366 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 7.366 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.366 * [taylor]: Taking taylor expansion of -1 in N 7.366 * [backup-simplify]: Simplify -1 into -1 7.366 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.366 * [taylor]: Taking taylor expansion of N in N 7.366 * [backup-simplify]: Simplify 0 into 0 7.366 * [backup-simplify]: Simplify 1 into 1 7.367 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.367 * [taylor]: Taking taylor expansion of 1.0 in N 7.367 * [backup-simplify]: Simplify 1.0 into 1.0 7.367 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.367 * [taylor]: Taking taylor expansion of N in N 7.367 * [backup-simplify]: Simplify 0 into 0 7.367 * [backup-simplify]: Simplify 1 into 1 7.367 * [backup-simplify]: Simplify (/ 1 1) into 1 7.367 * [backup-simplify]: Simplify (- 1) into -1 7.368 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.368 * [backup-simplify]: Simplify (* 0 -1) into 0 7.369 * [backup-simplify]: Simplify (* -1 0) into 0 7.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.370 * [backup-simplify]: Simplify (- 0) into 0 7.370 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.371 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.371 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.372 * [backup-simplify]: Simplify (log 1) into 0 7.372 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 7.372 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.372 * [taylor]: Taking taylor expansion of -1 in N 7.372 * [backup-simplify]: Simplify -1 into -1 7.372 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.372 * [taylor]: Taking taylor expansion of N in N 7.372 * [backup-simplify]: Simplify 0 into 0 7.372 * [backup-simplify]: Simplify 1 into 1 7.372 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.372 * [taylor]: Taking taylor expansion of 1.0 in N 7.372 * [backup-simplify]: Simplify 1.0 into 1.0 7.372 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.372 * [taylor]: Taking taylor expansion of N in N 7.372 * [backup-simplify]: Simplify 0 into 0 7.372 * [backup-simplify]: Simplify 1 into 1 7.372 * [backup-simplify]: Simplify (/ 1 1) into 1 7.373 * [backup-simplify]: Simplify (- 1) into -1 7.373 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.374 * [backup-simplify]: Simplify (* 0 -1) into 0 7.374 * [backup-simplify]: Simplify (* -1 0) into 0 7.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.375 * [backup-simplify]: Simplify (- 0) into 0 7.375 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.376 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.377 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.377 * [backup-simplify]: Simplify (log 1) into 0 7.377 * [backup-simplify]: Simplify 0 into 0 7.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.379 * [backup-simplify]: Simplify (- 0) into 0 7.379 * [backup-simplify]: Simplify (+ 0 0) into 0 7.382 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 7.383 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 7.391 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 7.391 * [backup-simplify]: Simplify -1.0 into -1.0 7.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.392 * [backup-simplify]: Simplify (- 0) into 0 7.392 * [backup-simplify]: Simplify (+ 0 0) into 0 7.394 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 7.395 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 7.407 * [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 7.408 * [backup-simplify]: Simplify -0.5 into -0.5 7.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.409 * [backup-simplify]: Simplify (- 0) into 0 7.409 * [backup-simplify]: Simplify (+ 0 0) into 0 7.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 7.412 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 7.431 * [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 7.431 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 7.432 * [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)))) 7.432 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 7.432 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 7.432 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 7.432 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.432 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.432 * [taylor]: Taking taylor expansion of N in N 7.432 * [backup-simplify]: Simplify 0 into 0 7.432 * [backup-simplify]: Simplify 1 into 1 7.432 * [taylor]: Taking taylor expansion of 1.0 in N 7.432 * [backup-simplify]: Simplify 1.0 into 1.0 7.432 * [taylor]: Taking taylor expansion of N in N 7.432 * [backup-simplify]: Simplify 0 into 0 7.432 * [backup-simplify]: Simplify 1 into 1 7.433 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.433 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.433 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.433 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.433 * [taylor]: Taking taylor expansion of N in N 7.433 * [backup-simplify]: Simplify 0 into 0 7.433 * [backup-simplify]: Simplify 1 into 1 7.433 * [taylor]: Taking taylor expansion of 1.0 in N 7.433 * [backup-simplify]: Simplify 1.0 into 1.0 7.433 * [taylor]: Taking taylor expansion of N in N 7.434 * [backup-simplify]: Simplify 0 into 0 7.434 * [backup-simplify]: Simplify 1 into 1 7.434 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.434 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.434 * [backup-simplify]: Simplify 1.0 into 1.0 7.435 * [backup-simplify]: Simplify (+ 1 0) into 1 7.436 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 7.436 * [backup-simplify]: Simplify 1 into 1 7.436 * [backup-simplify]: Simplify (+ 0 0) into 0 7.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.437 * [backup-simplify]: Simplify 0 into 0 7.437 * [backup-simplify]: Simplify (+ 0 0) into 0 7.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.439 * [backup-simplify]: Simplify 0 into 0 7.439 * [backup-simplify]: Simplify (+ 0 0) into 0 7.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.440 * [backup-simplify]: Simplify 0 into 0 7.440 * [backup-simplify]: Simplify (+ 0 0) into 0 7.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.442 * [backup-simplify]: Simplify 0 into 0 7.442 * [backup-simplify]: Simplify (+ 0 0) into 0 7.443 * [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 7.443 * [backup-simplify]: Simplify 0 into 0 7.443 * [backup-simplify]: Simplify (+ 0 0) into 0 7.445 * [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 7.445 * [backup-simplify]: Simplify 0 into 0 7.445 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 7.445 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 7.445 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 7.445 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.445 * [taylor]: Taking taylor expansion of N in N 7.445 * [backup-simplify]: Simplify 0 into 0 7.445 * [backup-simplify]: Simplify 1 into 1 7.445 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.445 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.445 * [taylor]: Taking taylor expansion of N in N 7.445 * [backup-simplify]: Simplify 0 into 0 7.445 * [backup-simplify]: Simplify 1 into 1 7.446 * [backup-simplify]: Simplify (/ 1 1) into 1 7.446 * [taylor]: Taking taylor expansion of 1.0 in N 7.446 * [backup-simplify]: Simplify 1.0 into 1.0 7.446 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.446 * [taylor]: Taking taylor expansion of N in N 7.446 * [backup-simplify]: Simplify 0 into 0 7.446 * [backup-simplify]: Simplify 1 into 1 7.446 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.446 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.446 * [taylor]: Taking taylor expansion of N in N 7.446 * [backup-simplify]: Simplify 0 into 0 7.446 * [backup-simplify]: Simplify 1 into 1 7.446 * [backup-simplify]: Simplify (/ 1 1) into 1 7.446 * [taylor]: Taking taylor expansion of 1.0 in N 7.446 * [backup-simplify]: Simplify 1.0 into 1.0 7.447 * [backup-simplify]: Simplify (+ 1 0) into 1 7.447 * [backup-simplify]: Simplify (* 0 1) into 0 7.447 * [backup-simplify]: Simplify 0 into 0 7.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.448 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.449 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.449 * [backup-simplify]: Simplify 1 into 1 7.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.450 * [backup-simplify]: Simplify (+ 0 0) into 0 7.453 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.453 * [backup-simplify]: Simplify 1.0 into 1.0 7.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.454 * [backup-simplify]: Simplify (+ 0 0) into 0 7.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 7.456 * [backup-simplify]: Simplify 0 into 0 7.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.457 * [backup-simplify]: Simplify (+ 0 0) into 0 7.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 7.462 * [backup-simplify]: Simplify 0 into 0 7.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.464 * [backup-simplify]: Simplify (+ 0 0) into 0 7.465 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 7.465 * [backup-simplify]: Simplify 0 into 0 7.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.467 * [backup-simplify]: Simplify (+ 0 0) into 0 7.468 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 7.468 * [backup-simplify]: Simplify 0 into 0 7.469 * [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 7.470 * [backup-simplify]: Simplify (+ 0 0) into 0 7.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 7.471 * [backup-simplify]: Simplify 0 into 0 7.472 * [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 7.473 * [backup-simplify]: Simplify (+ 0 0) into 0 7.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 7.475 * [backup-simplify]: Simplify 0 into 0 7.475 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 7.475 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 7.475 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 7.475 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.475 * [taylor]: Taking taylor expansion of -1 in N 7.475 * [backup-simplify]: Simplify -1 into -1 7.475 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.475 * [taylor]: Taking taylor expansion of N in N 7.476 * [backup-simplify]: Simplify 0 into 0 7.476 * [backup-simplify]: Simplify 1 into 1 7.476 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.476 * [taylor]: Taking taylor expansion of 1.0 in N 7.476 * [backup-simplify]: Simplify 1.0 into 1.0 7.476 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.476 * [taylor]: Taking taylor expansion of N in N 7.476 * [backup-simplify]: Simplify 0 into 0 7.476 * [backup-simplify]: Simplify 1 into 1 7.476 * [backup-simplify]: Simplify (/ 1 1) into 1 7.476 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.476 * [taylor]: Taking taylor expansion of -1 in N 7.476 * [backup-simplify]: Simplify -1 into -1 7.476 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.476 * [taylor]: Taking taylor expansion of N in N 7.476 * [backup-simplify]: Simplify 0 into 0 7.476 * [backup-simplify]: Simplify 1 into 1 7.476 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.476 * [taylor]: Taking taylor expansion of 1.0 in N 7.476 * [backup-simplify]: Simplify 1.0 into 1.0 7.476 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.476 * [taylor]: Taking taylor expansion of N in N 7.476 * [backup-simplify]: Simplify 0 into 0 7.476 * [backup-simplify]: Simplify 1 into 1 7.477 * [backup-simplify]: Simplify (/ 1 1) into 1 7.477 * [backup-simplify]: Simplify (- 1) into -1 7.478 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.478 * [backup-simplify]: Simplify (* 0 -1) into 0 7.478 * [backup-simplify]: Simplify (* -1 0) into 0 7.478 * [backup-simplify]: Simplify 0 into 0 7.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.480 * [backup-simplify]: Simplify (- 0) into 0 7.480 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.481 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.481 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.481 * [backup-simplify]: Simplify 1 into 1 7.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.483 * [backup-simplify]: Simplify (- 0) into 0 7.483 * [backup-simplify]: Simplify (+ 0 0) into 0 7.486 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 7.487 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 7.488 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.489 * [backup-simplify]: Simplify (- 0) into 0 7.489 * [backup-simplify]: Simplify (+ 0 0) into 0 7.491 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 7.492 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 7.492 * [backup-simplify]: Simplify 0 into 0 7.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.493 * [backup-simplify]: Simplify (- 0) into 0 7.494 * [backup-simplify]: Simplify (+ 0 0) into 0 7.495 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 7.496 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 7.497 * [backup-simplify]: Simplify 0 into 0 7.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.498 * [backup-simplify]: Simplify (- 0) into 0 7.498 * [backup-simplify]: Simplify (+ 0 0) into 0 7.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 7.502 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 7.502 * [backup-simplify]: Simplify 0 into 0 7.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.503 * [backup-simplify]: Simplify (- 0) into 0 7.503 * [backup-simplify]: Simplify (+ 0 0) into 0 7.505 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 7.507 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 7.507 * [backup-simplify]: Simplify 0 into 0 7.508 * [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 7.508 * [backup-simplify]: Simplify (- 0) into 0 7.509 * [backup-simplify]: Simplify (+ 0 0) into 0 7.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 7.513 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 7.513 * [backup-simplify]: Simplify 0 into 0 7.513 * [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 7.514 * [backup-simplify]: Simplify (- 0) into 0 7.514 * [backup-simplify]: Simplify (+ 0 0) into 0 7.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 7.518 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 7.518 * [backup-simplify]: Simplify 0 into 0 7.519 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 7.519 * * * [progress]: simplifying candidates 7.520 * [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)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 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) 7.521 * * [simplify]: Extracting # 0 : cost 0 7.521 * * [simplify]: Extracting # 1 : cost 0 7.521 * * [simplify]: Extracting # 2 : cost 0 7.521 * * [simplify]: Extracting # 3 : cost 0 7.522 * * [simplify]: Extracting # 4 : cost 0 7.522 * * [simplify]: Extracting # 5 : cost 0 7.522 * * [simplify]: Extracting # 6 : cost 0 7.522 * * [simplify]: Extracting # 7 : cost 0 7.522 * * [simplify]: Extracting # 8 : cost 0 7.522 * * [simplify]: Extracting # 9 : cost 0 7.522 * * [simplify]: iteration 0 : 112 enodes (cost 749 ) 7.547 * * [simplify]: Extracting # 0 : cost 0 7.548 * * [simplify]: Extracting # 1 : cost 0 7.548 * * [simplify]: Extracting # 2 : cost 0 7.549 * * [simplify]: Extracting # 3 : cost 0 7.549 * * [simplify]: Extracting # 4 : cost 0 7.550 * * [simplify]: iteration 1 : 242 enodes (cost 708 ) 7.688 * * [simplify]: Extracting # 0 : cost 0 7.689 * * [simplify]: Extracting # 1 : cost 0 7.691 * * [simplify]: Extracting # 2 : cost 0 7.692 * * [simplify]: Extracting # 3 : cost 0 7.693 * * [simplify]: Extracting # 4 : cost 0 7.694 * * [simplify]: iteration 2 : 620 enodes (cost 660 ) 8.047 * * [simplify]: Extracting # 0 : cost 0 8.049 * * [simplify]: Extracting # 1 : cost 0 8.050 * * [simplify]: Extracting # 2 : cost 0 8.052 * * [simplify]: Extracting # 3 : cost 0 8.057 * * [simplify]: Extracting # 4 : cost 0 8.058 * * [simplify]: iteration 3 : 1531 enodes (cost 647 ) 10.011 * * [simplify]: Extracting # 0 : cost 0 10.021 * * [simplify]: Extracting # 1 : cost 0 10.026 * * [simplify]: Extracting # 2 : cost 0 10.034 * * [simplify]: Extracting # 3 : cost 0 10.038 * * [simplify]: Extracting # 4 : cost 0 10.042 * * [simplify]: iteration 4 : 4287 enodes (cost 643 ) 11.392 * * [simplify]: Extracting # 0 : cost 0 11.402 * * [simplify]: Extracting # 1 : cost 0 11.411 * * [simplify]: Extracting # 2 : cost 0 11.420 * * [simplify]: Extracting # 3 : cost 0 11.428 * * [simplify]: iteration done: 5000 enodes (cost 612 ) 11.430 * [simplify]: Simplified to: (expm1 (log1p (/ 1.0 N))) (log1p (log1p (/ 1.0 N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (fma -2 (log (cbrt N)) (log (sqrt (+ N 1.0)))) (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))) (log (/ (sqrt (+ N 1.0)) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log1p (/ 1.0 N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log1p (/ 1.0 N)) 0 (log1p (/ 1.0 N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log1p (/ 1.0 N)) (log (log1p (/ 1.0 N))) (+ (/ 1.0 N) 1) (* (cbrt (log1p (/ 1.0 N))) (cbrt (log1p (/ 1.0 N)))) (cbrt (log1p (/ 1.0 N))) (pow (log1p (/ 1.0 N)) 3) (sqrt (log1p (/ 1.0 N))) (sqrt (log1p (/ 1.0 N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (log1p (/ 1.0 N)) (log1p (/ 1.0 N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (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))) (/ (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)) (/ (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) 1) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (+ (/ 1.0 N) 1) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (fma N N (* 1.0 (- 1.0 N)))) (* N (- N 1.0)) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (fma (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 11.431 * * * [progress]: adding candidates to table 11.616 * * [progress]: iteration 4 / 4 11.616 * * * [progress]: picking best candidate 11.618 * * * * [pick]: Picked # 11.618 * * * [progress]: localizing error 11.642 * * * [progress]: generating rewritten candidates 11.642 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 11.654 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 3) 11.659 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 11.660 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 11.663 * * * [progress]: generating series expansions 11.663 * * * * [progress]: [ 1 / 4 ] generating series at (2) 11.664 * [backup-simplify]: Simplify (- (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (cbrt N))) into (- (fma -2 (log (pow N 1/3)) (log (+ N 1.0))) (log (pow N 1/3))) 11.664 * [approximate]: Taking taylor expansion of (- (fma -2 (log (pow N 1/3)) (log (+ N 1.0))) (log (pow N 1/3))) in (N) around 0 11.664 * [taylor]: Taking taylor expansion of (- (fma -2 (log (pow N 1/3)) (log (+ N 1.0))) (log (pow N 1/3))) in N 11.664 * [taylor]: Taking taylor expansion of (fma -2 (log (pow N 1/3)) (log (+ N 1.0))) in N 11.664 * [taylor]: Rewrote expression to (+ (* -2 (log (pow N 1/3))) (log (+ N 1.0))) 11.664 * [taylor]: Taking taylor expansion of (* -2 (log (pow N 1/3))) in N 11.664 * [taylor]: Taking taylor expansion of -2 in N 11.664 * [backup-simplify]: Simplify -2 into -2 11.664 * [taylor]: Taking taylor expansion of (log (pow N 1/3)) in N 11.664 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 11.664 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 11.664 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 11.664 * [taylor]: Taking taylor expansion of 1/3 in N 11.664 * [backup-simplify]: Simplify 1/3 into 1/3 11.664 * [taylor]: Taking taylor expansion of (log N) in N 11.664 * [taylor]: Taking taylor expansion of N in N 11.664 * [backup-simplify]: Simplify 0 into 0 11.664 * [backup-simplify]: Simplify 1 into 1 11.665 * [backup-simplify]: Simplify (log 1) into 0 11.665 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.665 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 11.665 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 11.665 * [backup-simplify]: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) 11.666 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 11.666 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 11.666 * [taylor]: Taking taylor expansion of N in N 11.666 * [backup-simplify]: Simplify 0 into 0 11.666 * [backup-simplify]: Simplify 1 into 1 11.666 * [taylor]: Taking taylor expansion of 1.0 in N 11.666 * [backup-simplify]: Simplify 1.0 into 1.0 11.666 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.666 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 11.666 * [taylor]: Taking taylor expansion of (log (pow N 1/3)) in N 11.666 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 11.666 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 11.666 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 11.666 * [taylor]: Taking taylor expansion of 1/3 in N 11.666 * [backup-simplify]: Simplify 1/3 into 1/3 11.667 * [taylor]: Taking taylor expansion of (log N) in N 11.667 * [taylor]: Taking taylor expansion of N in N 11.667 * [backup-simplify]: Simplify 0 into 0 11.667 * [backup-simplify]: Simplify 1 into 1 11.667 * [backup-simplify]: Simplify (log 1) into 0 11.667 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.667 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 11.667 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 11.667 * [backup-simplify]: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) 11.667 * [taylor]: Taking taylor expansion of (- (fma -2 (log (pow N 1/3)) (log (+ N 1.0))) (log (pow N 1/3))) in N 11.667 * [taylor]: Taking taylor expansion of (fma -2 (log (pow N 1/3)) (log (+ N 1.0))) in N 11.668 * [taylor]: Rewrote expression to (+ (* -2 (log (pow N 1/3))) (log (+ N 1.0))) 11.668 * [taylor]: Taking taylor expansion of (* -2 (log (pow N 1/3))) in N 11.668 * [taylor]: Taking taylor expansion of -2 in N 11.668 * [backup-simplify]: Simplify -2 into -2 11.668 * [taylor]: Taking taylor expansion of (log (pow N 1/3)) in N 11.668 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 11.668 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 11.668 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 11.668 * [taylor]: Taking taylor expansion of 1/3 in N 11.668 * [backup-simplify]: Simplify 1/3 into 1/3 11.668 * [taylor]: Taking taylor expansion of (log N) in N 11.668 * [taylor]: Taking taylor expansion of N in N 11.668 * [backup-simplify]: Simplify 0 into 0 11.668 * [backup-simplify]: Simplify 1 into 1 11.668 * [backup-simplify]: Simplify (log 1) into 0 11.669 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.669 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 11.669 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 11.669 * [backup-simplify]: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) 11.669 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 11.669 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 11.669 * [taylor]: Taking taylor expansion of N in N 11.669 * [backup-simplify]: Simplify 0 into 0 11.669 * [backup-simplify]: Simplify 1 into 1 11.669 * [taylor]: Taking taylor expansion of 1.0 in N 11.669 * [backup-simplify]: Simplify 1.0 into 1.0 11.669 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.670 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 11.670 * [taylor]: Taking taylor expansion of (log (pow N 1/3)) in N 11.670 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 11.670 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 11.670 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 11.670 * [taylor]: Taking taylor expansion of 1/3 in N 11.670 * [backup-simplify]: Simplify 1/3 into 1/3 11.670 * [taylor]: Taking taylor expansion of (log N) in N 11.670 * [taylor]: Taking taylor expansion of N in N 11.670 * [backup-simplify]: Simplify 0 into 0 11.670 * [backup-simplify]: Simplify 1 into 1 11.670 * [backup-simplify]: Simplify (log 1) into 0 11.670 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.670 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 11.670 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 11.671 * [backup-simplify]: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) 11.671 * [backup-simplify]: Simplify (* -2 (log (pow N 1/3))) into (* -2 (log (pow N 1/3))) 11.671 * [backup-simplify]: Simplify (+ (* -2 (log (pow N 1/3))) (log 1.0)) into (- (log 1.0) (* 2 (log (pow N 1/3)))) 11.671 * [backup-simplify]: Simplify (- (log (pow N 1/3))) into (- (log (pow N 1/3))) 11.672 * [backup-simplify]: Simplify (+ (- (log 1.0) (* 2 (log (pow N 1/3)))) (- (log (pow N 1/3)))) into (- (log 1.0) (* 3 (log (pow N 1/3)))) 11.672 * [backup-simplify]: Simplify (- (log 1.0) (* 3 (log (pow N 1/3)))) into (- (log 1.0) (* 3 (log (pow N 1/3)))) 11.673 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.673 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.674 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 11.674 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 11.675 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow N 1/3) 1)))) 1) into 0 11.676 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (log (pow N 1/3)))) into 0 11.676 * [backup-simplify]: Simplify (+ 1 0) into 1 11.679 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 11.679 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.680 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.681 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.681 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 11.682 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 11.682 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow N 1/3) 1)))) 1) into 0 11.682 * [backup-simplify]: Simplify (- 0) into 0 11.683 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.683 * [backup-simplify]: Simplify 1.0 into 1.0 11.685 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.685 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.685 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 11.686 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.688 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow N 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow N 1/3) 1)))) 2) into 0 11.688 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (log (pow N 1/3))))) into 0 11.688 * [backup-simplify]: Simplify (+ 0 0) into 0 11.700 * [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)) 11.702 * [backup-simplify]: Simplify (+ 0 (/ -1/2 (pow 1.0 2))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 11.705 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.705 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.706 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 11.708 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.710 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow N 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow N 1/3) 1)))) 2) into 0 11.710 * [backup-simplify]: Simplify (- 0) into 0 11.722 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (pow 1.0 2)))) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 11.725 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 11.728 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (* 3 (log (pow N 1/3)))))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (* 3 (log (pow N 1/3))))) 11.728 * [backup-simplify]: Simplify (- (fma -2 (log (cbrt (/ 1 N))) (log (+ (/ 1 N) 1.0))) (log (cbrt (/ 1 N)))) into (- (fma -2 (log (pow (/ 1 N) 1/3)) (log (+ (/ 1 N) 1.0))) (log (pow (/ 1 N) 1/3))) 11.728 * [approximate]: Taking taylor expansion of (- (fma -2 (log (pow (/ 1 N) 1/3)) (log (+ (/ 1 N) 1.0))) (log (pow (/ 1 N) 1/3))) in (N) around 0 11.728 * [taylor]: Taking taylor expansion of (- (fma -2 (log (pow (/ 1 N) 1/3)) (log (+ (/ 1 N) 1.0))) (log (pow (/ 1 N) 1/3))) in N 11.728 * [taylor]: Taking taylor expansion of (fma -2 (log (pow (/ 1 N) 1/3)) (log (+ (/ 1 N) 1.0))) in N 11.729 * [taylor]: Rewrote expression to (+ (* -2 (log (pow (/ 1 N) 1/3))) (log (+ (/ 1 N) 1.0))) 11.729 * [taylor]: Taking taylor expansion of (* -2 (log (pow (/ 1 N) 1/3))) in N 11.729 * [taylor]: Taking taylor expansion of -2 in N 11.729 * [backup-simplify]: Simplify -2 into -2 11.729 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/3)) in N 11.729 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 11.729 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 11.729 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 11.729 * [taylor]: Taking taylor expansion of 1/3 in N 11.729 * [backup-simplify]: Simplify 1/3 into 1/3 11.729 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 11.729 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.729 * [taylor]: Taking taylor expansion of N in N 11.729 * [backup-simplify]: Simplify 0 into 0 11.729 * [backup-simplify]: Simplify 1 into 1 11.729 * [backup-simplify]: Simplify (/ 1 1) into 1 11.729 * [backup-simplify]: Simplify (log 1) into 0 11.730 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.730 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 11.730 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 11.730 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 11.730 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 11.730 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 11.730 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.730 * [taylor]: Taking taylor expansion of N in N 11.730 * [backup-simplify]: Simplify 0 into 0 11.730 * [backup-simplify]: Simplify 1 into 1 11.730 * [backup-simplify]: Simplify (/ 1 1) into 1 11.730 * [taylor]: Taking taylor expansion of 1.0 in N 11.730 * [backup-simplify]: Simplify 1.0 into 1.0 11.731 * [backup-simplify]: Simplify (+ 1 0) into 1 11.731 * [backup-simplify]: Simplify (log 1) into 0 11.731 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/3)) in N 11.731 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 11.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 11.731 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 11.731 * [taylor]: Taking taylor expansion of 1/3 in N 11.731 * [backup-simplify]: Simplify 1/3 into 1/3 11.731 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 11.731 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.731 * [taylor]: Taking taylor expansion of N in N 11.731 * [backup-simplify]: Simplify 0 into 0 11.731 * [backup-simplify]: Simplify 1 into 1 11.731 * [backup-simplify]: Simplify (/ 1 1) into 1 11.731 * [backup-simplify]: Simplify (log 1) into 0 11.732 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.732 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 11.732 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 11.732 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 11.732 * [taylor]: Taking taylor expansion of (- (fma -2 (log (pow (/ 1 N) 1/3)) (log (+ (/ 1 N) 1.0))) (log (pow (/ 1 N) 1/3))) in N 11.732 * [taylor]: Taking taylor expansion of (fma -2 (log (pow (/ 1 N) 1/3)) (log (+ (/ 1 N) 1.0))) in N 11.732 * [taylor]: Rewrote expression to (+ (* -2 (log (pow (/ 1 N) 1/3))) (log (+ (/ 1 N) 1.0))) 11.732 * [taylor]: Taking taylor expansion of (* -2 (log (pow (/ 1 N) 1/3))) in N 11.732 * [taylor]: Taking taylor expansion of -2 in N 11.732 * [backup-simplify]: Simplify -2 into -2 11.732 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/3)) in N 11.732 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 11.732 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 11.732 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 11.732 * [taylor]: Taking taylor expansion of 1/3 in N 11.732 * [backup-simplify]: Simplify 1/3 into 1/3 11.732 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 11.732 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.732 * [taylor]: Taking taylor expansion of N in N 11.732 * [backup-simplify]: Simplify 0 into 0 11.732 * [backup-simplify]: Simplify 1 into 1 11.733 * [backup-simplify]: Simplify (/ 1 1) into 1 11.733 * [backup-simplify]: Simplify (log 1) into 0 11.733 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.733 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 11.733 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 11.733 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 11.733 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 11.733 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 11.733 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.733 * [taylor]: Taking taylor expansion of N in N 11.733 * [backup-simplify]: Simplify 0 into 0 11.733 * [backup-simplify]: Simplify 1 into 1 11.734 * [backup-simplify]: Simplify (/ 1 1) into 1 11.734 * [taylor]: Taking taylor expansion of 1.0 in N 11.734 * [backup-simplify]: Simplify 1.0 into 1.0 11.734 * [backup-simplify]: Simplify (+ 1 0) into 1 11.734 * [backup-simplify]: Simplify (log 1) into 0 11.734 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/3)) in N 11.734 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 11.734 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 11.734 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 11.734 * [taylor]: Taking taylor expansion of 1/3 in N 11.734 * [backup-simplify]: Simplify 1/3 into 1/3 11.734 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 11.734 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.734 * [taylor]: Taking taylor expansion of N in N 11.734 * [backup-simplify]: Simplify 0 into 0 11.734 * [backup-simplify]: Simplify 1 into 1 11.735 * [backup-simplify]: Simplify (/ 1 1) into 1 11.735 * [backup-simplify]: Simplify (log 1) into 0 11.735 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.735 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 11.735 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 11.735 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 11.736 * [backup-simplify]: Simplify (* -2 (log (pow N -1/3))) into (* -2 (log (pow N -1/3))) 11.736 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.736 * [backup-simplify]: Simplify (+ (* -2 (log (pow N -1/3))) (- (log N))) into (- (+ (* 2 (log (pow N -1/3))) (log N))) 11.736 * [backup-simplify]: Simplify (- (log (pow N -1/3))) into (- (log (pow N -1/3))) 11.736 * [backup-simplify]: Simplify (+ (- (+ (* 2 (log (pow N -1/3))) (log N))) (- (log (pow N -1/3)))) into (- (+ (* 3 (log (pow N -1/3))) (log N))) 11.736 * [backup-simplify]: Simplify (- (+ (* 3 (log (pow N -1/3))) (log N))) into (- (+ (* 3 (log (pow N -1/3))) (log N))) 11.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.738 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.738 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.738 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 11.739 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 11.739 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow N -1/3) 1)))) 1) into 0 11.740 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (log (pow N -1/3)))) into 0 11.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.740 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.744 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 11.744 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.746 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.746 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.746 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 11.747 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 11.747 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow N -1/3) 1)))) 1) into 0 11.748 * [backup-simplify]: Simplify (- 0) into 0 11.748 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.748 * [backup-simplify]: Simplify 1.0 into 1.0 11.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.750 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.751 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.751 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 11.752 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.754 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow N -1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow N -1/3) 1)))) 2) into 0 11.754 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (log (pow N -1/3))))) into 0 11.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.755 * [backup-simplify]: Simplify (+ 0 0) into 0 11.762 * [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 11.762 * [backup-simplify]: Simplify (+ 0 -0.5) into (- 0.5) 11.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.764 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.764 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.765 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 11.766 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.767 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow N -1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow N -1/3) 1)))) 2) into 0 11.767 * [backup-simplify]: Simplify (- 0) into 0 11.768 * [backup-simplify]: Simplify (+ (- 0.5) 0) into (- 0.5) 11.768 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.769 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (+ (* 3 (log (pow (/ 1 N) -1/3))) (log (/ 1 N)))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (+ (* 3 (log (pow (/ 1 N) -1/3))) (log (/ 1 N))))) 11.769 * [backup-simplify]: Simplify (- (fma -2 (log (cbrt (/ 1 (- N)))) (log (+ (/ 1 (- N)) 1.0))) (log (cbrt (/ 1 (- N))))) into (- (fma -2 (log (* (cbrt -1) (pow (/ 1 N) 1/3))) (log (- 1.0 (/ 1 N)))) (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) 11.769 * [approximate]: Taking taylor expansion of (- (fma -2 (log (* (cbrt -1) (pow (/ 1 N) 1/3))) (log (- 1.0 (/ 1 N)))) (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) in (N) around 0 11.769 * [taylor]: Taking taylor expansion of (- (fma -2 (log (* (cbrt -1) (pow (/ 1 N) 1/3))) (log (- 1.0 (/ 1 N)))) (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) in N 11.769 * [taylor]: Taking taylor expansion of (fma -2 (log (* (cbrt -1) (pow (/ 1 N) 1/3))) (log (- 1.0 (/ 1 N)))) in N 11.769 * [taylor]: Rewrote expression to (+ (* -2 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) (log (- 1.0 (/ 1 N)))) 11.769 * [taylor]: Taking taylor expansion of (* -2 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) in N 11.769 * [taylor]: Taking taylor expansion of -2 in N 11.769 * [backup-simplify]: Simplify -2 into -2 11.769 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (/ 1 N) 1/3))) in N 11.769 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 11.769 * [taylor]: Taking taylor expansion of (cbrt -1) in N 11.769 * [taylor]: Taking taylor expansion of -1 in N 11.769 * [backup-simplify]: Simplify -1 into -1 11.770 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.770 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.770 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 11.770 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 11.770 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 11.770 * [taylor]: Taking taylor expansion of 1/3 in N 11.770 * [backup-simplify]: Simplify 1/3 into 1/3 11.770 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 11.770 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.770 * [taylor]: Taking taylor expansion of N in N 11.771 * [backup-simplify]: Simplify 0 into 0 11.771 * [backup-simplify]: Simplify 1 into 1 11.771 * [backup-simplify]: Simplify (/ 1 1) into 1 11.771 * [backup-simplify]: Simplify (log 1) into 0 11.772 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.772 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 11.772 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 11.772 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 11.773 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow (/ 1 N) 1/3))) into (log (* (cbrt -1) (pow (/ 1 N) 1/3))) 11.773 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 11.773 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 11.773 * [taylor]: Taking taylor expansion of 1.0 in N 11.773 * [backup-simplify]: Simplify 1.0 into 1.0 11.773 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.773 * [taylor]: Taking taylor expansion of N in N 11.773 * [backup-simplify]: Simplify 0 into 0 11.773 * [backup-simplify]: Simplify 1 into 1 11.774 * [backup-simplify]: Simplify (/ 1 1) into 1 11.774 * [backup-simplify]: Simplify (- 1) into -1 11.774 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.775 * [backup-simplify]: Simplify (log -1) into (log -1) 11.775 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (/ 1 N) 1/3))) in N 11.775 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 11.775 * [taylor]: Taking taylor expansion of (cbrt -1) in N 11.775 * [taylor]: Taking taylor expansion of -1 in N 11.775 * [backup-simplify]: Simplify -1 into -1 11.775 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.776 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.776 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 11.776 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 11.776 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 11.776 * [taylor]: Taking taylor expansion of 1/3 in N 11.776 * [backup-simplify]: Simplify 1/3 into 1/3 11.776 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 11.776 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.776 * [taylor]: Taking taylor expansion of N in N 11.776 * [backup-simplify]: Simplify 0 into 0 11.776 * [backup-simplify]: Simplify 1 into 1 11.777 * [backup-simplify]: Simplify (/ 1 1) into 1 11.777 * [backup-simplify]: Simplify (log 1) into 0 11.777 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.778 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 11.778 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 11.778 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 11.779 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow (/ 1 N) 1/3))) into (log (* (cbrt -1) (pow (/ 1 N) 1/3))) 11.779 * [taylor]: Taking taylor expansion of (- (fma -2 (log (* (cbrt -1) (pow (/ 1 N) 1/3))) (log (- 1.0 (/ 1 N)))) (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) in N 11.779 * [taylor]: Taking taylor expansion of (fma -2 (log (* (cbrt -1) (pow (/ 1 N) 1/3))) (log (- 1.0 (/ 1 N)))) in N 11.779 * [taylor]: Rewrote expression to (+ (* -2 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) (log (- 1.0 (/ 1 N)))) 11.779 * [taylor]: Taking taylor expansion of (* -2 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) in N 11.779 * [taylor]: Taking taylor expansion of -2 in N 11.779 * [backup-simplify]: Simplify -2 into -2 11.779 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (/ 1 N) 1/3))) in N 11.779 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 11.779 * [taylor]: Taking taylor expansion of (cbrt -1) in N 11.779 * [taylor]: Taking taylor expansion of -1 in N 11.779 * [backup-simplify]: Simplify -1 into -1 11.780 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.781 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.781 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 11.781 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 11.781 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 11.781 * [taylor]: Taking taylor expansion of 1/3 in N 11.781 * [backup-simplify]: Simplify 1/3 into 1/3 11.781 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 11.781 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.781 * [taylor]: Taking taylor expansion of N in N 11.781 * [backup-simplify]: Simplify 0 into 0 11.781 * [backup-simplify]: Simplify 1 into 1 11.781 * [backup-simplify]: Simplify (/ 1 1) into 1 11.781 * [backup-simplify]: Simplify (log 1) into 0 11.782 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.782 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 11.782 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 11.783 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 11.783 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow (/ 1 N) 1/3))) into (log (* (cbrt -1) (pow (/ 1 N) 1/3))) 11.783 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 11.783 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 11.783 * [taylor]: Taking taylor expansion of 1.0 in N 11.784 * [backup-simplify]: Simplify 1.0 into 1.0 11.784 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.784 * [taylor]: Taking taylor expansion of N in N 11.784 * [backup-simplify]: Simplify 0 into 0 11.784 * [backup-simplify]: Simplify 1 into 1 11.784 * [backup-simplify]: Simplify (/ 1 1) into 1 11.784 * [backup-simplify]: Simplify (- 1) into -1 11.785 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.785 * [backup-simplify]: Simplify (log -1) into (log -1) 11.785 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (/ 1 N) 1/3))) in N 11.785 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 11.785 * [taylor]: Taking taylor expansion of (cbrt -1) in N 11.785 * [taylor]: Taking taylor expansion of -1 in N 11.785 * [backup-simplify]: Simplify -1 into -1 11.786 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.786 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.786 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 11.786 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 11.787 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 11.787 * [taylor]: Taking taylor expansion of 1/3 in N 11.787 * [backup-simplify]: Simplify 1/3 into 1/3 11.787 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 11.787 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.787 * [taylor]: Taking taylor expansion of N in N 11.787 * [backup-simplify]: Simplify 0 into 0 11.787 * [backup-simplify]: Simplify 1 into 1 11.787 * [backup-simplify]: Simplify (/ 1 1) into 1 11.787 * [backup-simplify]: Simplify (log 1) into 0 11.788 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.788 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 11.788 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 11.789 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 11.789 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow (/ 1 N) 1/3))) into (log (* (cbrt -1) (pow (/ 1 N) 1/3))) 11.790 * [backup-simplify]: Simplify (* -2 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) into (* -2 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) 11.791 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 11.792 * [backup-simplify]: Simplify (+ (* -2 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) (- (log -1) (log N))) into (- (log -1) (+ (* 2 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) (log N))) 11.793 * [backup-simplify]: Simplify (- (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) into (- (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) 11.795 * [backup-simplify]: Simplify (+ (- (log -1) (+ (* 2 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) (log N))) (- (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) into (- (log -1) (+ (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) (log N))) 11.796 * [backup-simplify]: Simplify (- (log -1) (+ (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) (log N))) into (- (log -1) (+ (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) (log N))) 11.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.799 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.799 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 11.800 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 11.801 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 11.802 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (cbrt -1) (pow (/ 1 N) 1/3)) 1)))) 1) into 0 11.803 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) into 0 11.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.804 * [backup-simplify]: Simplify (- 0) into 0 11.804 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.811 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 11.811 * [backup-simplify]: Simplify (+ 0 -1.0) into (- 1.0) 11.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.813 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.814 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.814 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 11.815 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 11.816 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 11.818 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (cbrt -1) (pow (/ 1 N) 1/3)) 1)))) 1) into 0 11.818 * [backup-simplify]: Simplify (- 0) into 0 11.819 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0) 11.819 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 11.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.823 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.824 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.825 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 11.826 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.828 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.829 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 11.832 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (cbrt -1) (pow (/ 1 N) 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (cbrt -1) (pow (/ 1 N) 1/3)) 1)))) 2) into 0 11.833 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))))) into 0 11.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.835 * [backup-simplify]: Simplify (- 0) into 0 11.835 * [backup-simplify]: Simplify (+ 0 0) into 0 11.855 * [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 11.856 * [backup-simplify]: Simplify (+ 0 -0.5) into (- 0.5) 11.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.860 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.861 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.862 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 11.863 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.864 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.865 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 11.868 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (cbrt -1) (pow (/ 1 N) 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (cbrt -1) (pow (/ 1 N) 1/3)) 1)))) 2) into 0 11.869 * [backup-simplify]: Simplify (- 0) into 0 11.870 * [backup-simplify]: Simplify (+ (- 0.5) 0) into (- 0.5) 11.870 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.872 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (+ (* (- 1.0) (/ 1 (- N))) (- (log -1) (+ (* 3 (log (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)))) (log (/ 1 (- N))))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (+ (log (/ -1 N)) (* 3 (log (* (pow (* -1 N) 1/3) (cbrt -1))))))) 11.872 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 3) 11.873 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 11.873 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 11.873 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 11.873 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 11.873 * [taylor]: Taking taylor expansion of N in N 11.873 * [backup-simplify]: Simplify 0 into 0 11.873 * [backup-simplify]: Simplify 1 into 1 11.873 * [taylor]: Taking taylor expansion of 1.0 in N 11.873 * [backup-simplify]: Simplify 1.0 into 1.0 11.873 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.874 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 11.874 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 11.874 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 11.874 * [taylor]: Taking taylor expansion of N in N 11.874 * [backup-simplify]: Simplify 0 into 0 11.874 * [backup-simplify]: Simplify 1 into 1 11.874 * [taylor]: Taking taylor expansion of 1.0 in N 11.874 * [backup-simplify]: Simplify 1.0 into 1.0 11.874 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.875 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 11.875 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 11.876 * [backup-simplify]: Simplify (+ 1 0) into 1 11.881 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 11.881 * [backup-simplify]: Simplify 1.0 into 1.0 11.882 * [backup-simplify]: Simplify (+ 0 0) into 0 11.893 * [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)) 11.895 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 11.896 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 11.897 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 11.897 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 11.897 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 11.897 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 11.897 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.897 * [taylor]: Taking taylor expansion of N in N 11.897 * [backup-simplify]: Simplify 0 into 0 11.897 * [backup-simplify]: Simplify 1 into 1 11.897 * [backup-simplify]: Simplify (/ 1 1) into 1 11.897 * [taylor]: Taking taylor expansion of 1.0 in N 11.897 * [backup-simplify]: Simplify 1.0 into 1.0 11.898 * [backup-simplify]: Simplify (+ 1 0) into 1 11.898 * [backup-simplify]: Simplify (log 1) into 0 11.898 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 11.898 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 11.898 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.898 * [taylor]: Taking taylor expansion of N in N 11.898 * [backup-simplify]: Simplify 0 into 0 11.898 * [backup-simplify]: Simplify 1 into 1 11.899 * [backup-simplify]: Simplify (/ 1 1) into 1 11.899 * [taylor]: Taking taylor expansion of 1.0 in N 11.899 * [backup-simplify]: Simplify 1.0 into 1.0 11.899 * [backup-simplify]: Simplify (+ 1 0) into 1 11.900 * [backup-simplify]: Simplify (log 1) into 0 11.900 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.900 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 11.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.901 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.908 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 11.908 * [backup-simplify]: Simplify 1.0 into 1.0 11.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.909 * [backup-simplify]: Simplify (+ 0 0) into 0 11.921 * [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 11.921 * [backup-simplify]: Simplify -0.5 into -0.5 11.922 * [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)))) 11.922 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 11.922 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 11.922 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 11.922 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 11.922 * [taylor]: Taking taylor expansion of 1.0 in N 11.922 * [backup-simplify]: Simplify 1.0 into 1.0 11.922 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.922 * [taylor]: Taking taylor expansion of N in N 11.922 * [backup-simplify]: Simplify 0 into 0 11.922 * [backup-simplify]: Simplify 1 into 1 11.922 * [backup-simplify]: Simplify (/ 1 1) into 1 11.923 * [backup-simplify]: Simplify (- 1) into -1 11.923 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.924 * [backup-simplify]: Simplify (log -1) into (log -1) 11.924 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 11.924 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 11.924 * [taylor]: Taking taylor expansion of 1.0 in N 11.924 * [backup-simplify]: Simplify 1.0 into 1.0 11.924 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.924 * [taylor]: Taking taylor expansion of N in N 11.924 * [backup-simplify]: Simplify 0 into 0 11.924 * [backup-simplify]: Simplify 1 into 1 11.924 * [backup-simplify]: Simplify (/ 1 1) into 1 11.925 * [backup-simplify]: Simplify (- 1) into -1 11.925 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.925 * [backup-simplify]: Simplify (log -1) into (log -1) 11.926 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 11.927 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 11.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.928 * [backup-simplify]: Simplify (- 0) into 0 11.928 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.935 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 11.935 * [backup-simplify]: Simplify -1.0 into -1.0 11.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.936 * [backup-simplify]: Simplify (- 0) into 0 11.937 * [backup-simplify]: Simplify (+ 0 0) into 0 11.949 * [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 11.949 * [backup-simplify]: Simplify -0.5 into -0.5 11.950 * [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)))) 11.950 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 11.950 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 11.950 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 11.950 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 11.950 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 11.950 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 11.950 * [taylor]: Taking taylor expansion of 1/3 in N 11.950 * [backup-simplify]: Simplify 1/3 into 1/3 11.950 * [taylor]: Taking taylor expansion of (log N) in N 11.950 * [taylor]: Taking taylor expansion of N in N 11.950 * [backup-simplify]: Simplify 0 into 0 11.950 * [backup-simplify]: Simplify 1 into 1 11.950 * [backup-simplify]: Simplify (log 1) into 0 11.951 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.951 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 11.951 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 11.951 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 11.951 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 11.951 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 11.951 * [taylor]: Taking taylor expansion of 1/3 in N 11.951 * [backup-simplify]: Simplify 1/3 into 1/3 11.951 * [taylor]: Taking taylor expansion of (log N) in N 11.951 * [taylor]: Taking taylor expansion of N in N 11.951 * [backup-simplify]: Simplify 0 into 0 11.951 * [backup-simplify]: Simplify 1 into 1 11.952 * [backup-simplify]: Simplify (log 1) into 0 11.952 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.952 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 11.952 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 11.952 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 11.954 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.954 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.955 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 11.956 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 11.956 * [backup-simplify]: Simplify 0 into 0 11.958 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.959 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.960 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 11.962 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.962 * [backup-simplify]: Simplify 0 into 0 11.967 * [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 11.968 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.969 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 11.971 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.971 * [backup-simplify]: Simplify 0 into 0 11.983 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 11.983 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.985 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 11.987 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.988 * [backup-simplify]: Simplify 0 into 0 12.012 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 12.013 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.015 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 12.018 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.019 * [backup-simplify]: Simplify 0 into 0 12.045 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 12.046 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.047 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 12.050 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.050 * [backup-simplify]: Simplify 0 into 0 12.051 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 12.051 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 12.051 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 12.051 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 12.051 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 12.051 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 12.051 * [taylor]: Taking taylor expansion of 1/3 in N 12.051 * [backup-simplify]: Simplify 1/3 into 1/3 12.051 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 12.051 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.051 * [taylor]: Taking taylor expansion of N in N 12.051 * [backup-simplify]: Simplify 0 into 0 12.051 * [backup-simplify]: Simplify 1 into 1 12.051 * [backup-simplify]: Simplify (/ 1 1) into 1 12.051 * [backup-simplify]: Simplify (log 1) into 0 12.052 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.052 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 12.052 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 12.052 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 12.052 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 12.052 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 12.052 * [taylor]: Taking taylor expansion of 1/3 in N 12.052 * [backup-simplify]: Simplify 1/3 into 1/3 12.052 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 12.052 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.052 * [taylor]: Taking taylor expansion of N in N 12.052 * [backup-simplify]: Simplify 0 into 0 12.052 * [backup-simplify]: Simplify 1 into 1 12.052 * [backup-simplify]: Simplify (/ 1 1) into 1 12.052 * [backup-simplify]: Simplify (log 1) into 0 12.053 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.053 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 12.053 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 12.053 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 12.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.054 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.055 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.055 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 12.055 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 12.055 * [backup-simplify]: Simplify 0 into 0 12.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.058 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.058 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.058 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 12.059 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.059 * [backup-simplify]: Simplify 0 into 0 12.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.063 * [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 12.063 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.064 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 12.065 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.065 * [backup-simplify]: Simplify 0 into 0 12.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.072 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 12.073 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.075 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 12.078 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.078 * [backup-simplify]: Simplify 0 into 0 12.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.098 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 12.098 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.099 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 12.102 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.102 * [backup-simplify]: Simplify 0 into 0 12.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.119 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 12.120 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.124 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 12.128 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.128 * [backup-simplify]: Simplify 0 into 0 12.128 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 12.128 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 12.128 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 12.128 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 12.128 * [taylor]: Taking taylor expansion of (cbrt -1) in N 12.128 * [taylor]: Taking taylor expansion of -1 in N 12.128 * [backup-simplify]: Simplify -1 into -1 12.128 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.129 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.129 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 12.129 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 12.129 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 12.129 * [taylor]: Taking taylor expansion of 1/3 in N 12.129 * [backup-simplify]: Simplify 1/3 into 1/3 12.129 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 12.129 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.129 * [taylor]: Taking taylor expansion of N in N 12.129 * [backup-simplify]: Simplify 0 into 0 12.129 * [backup-simplify]: Simplify 1 into 1 12.129 * [backup-simplify]: Simplify (/ 1 1) into 1 12.129 * [backup-simplify]: Simplify (log 1) into 0 12.130 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.130 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 12.130 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 12.130 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 12.130 * [taylor]: Taking taylor expansion of (cbrt -1) in N 12.130 * [taylor]: Taking taylor expansion of -1 in N 12.130 * [backup-simplify]: Simplify -1 into -1 12.130 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.131 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.131 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 12.131 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 12.131 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 12.131 * [taylor]: Taking taylor expansion of 1/3 in N 12.131 * [backup-simplify]: Simplify 1/3 into 1/3 12.131 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 12.131 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.131 * [taylor]: Taking taylor expansion of N in N 12.131 * [backup-simplify]: Simplify 0 into 0 12.131 * [backup-simplify]: Simplify 1 into 1 12.132 * [backup-simplify]: Simplify (/ 1 1) into 1 12.132 * [backup-simplify]: Simplify (log 1) into 0 12.132 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.133 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 12.133 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 12.133 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 12.134 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 12.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.136 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.136 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.137 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 12.138 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 12.139 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 12.139 * [backup-simplify]: Simplify 0 into 0 12.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.143 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.143 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.144 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 12.146 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.147 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.149 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 12.149 * [backup-simplify]: Simplify 0 into 0 12.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.155 * [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 12.156 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.157 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 12.159 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.161 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 12.161 * [backup-simplify]: Simplify 0 into 0 12.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.175 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 12.175 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.177 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 12.180 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.183 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 12.183 * [backup-simplify]: Simplify 0 into 0 12.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.203 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 12.204 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.205 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 12.209 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.213 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 12.213 * [backup-simplify]: Simplify 0 into 0 12.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.249 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 12.249 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.252 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 12.259 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.264 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 12.264 * [backup-simplify]: Simplify 0 into 0 12.264 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 12.264 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 12.264 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 12.265 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 12.265 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 12.265 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 12.265 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 12.265 * [taylor]: Taking taylor expansion of 1/3 in N 12.265 * [backup-simplify]: Simplify 1/3 into 1/3 12.265 * [taylor]: Taking taylor expansion of (log N) in N 12.265 * [taylor]: Taking taylor expansion of N in N 12.265 * [backup-simplify]: Simplify 0 into 0 12.265 * [backup-simplify]: Simplify 1 into 1 12.265 * [backup-simplify]: Simplify (log 1) into 0 12.266 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.266 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 12.266 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 12.266 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 12.266 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 12.266 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 12.266 * [taylor]: Taking taylor expansion of 1/3 in N 12.266 * [backup-simplify]: Simplify 1/3 into 1/3 12.266 * [taylor]: Taking taylor expansion of (log N) in N 12.266 * [taylor]: Taking taylor expansion of N in N 12.266 * [backup-simplify]: Simplify 0 into 0 12.266 * [backup-simplify]: Simplify 1 into 1 12.266 * [backup-simplify]: Simplify (log 1) into 0 12.267 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.267 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 12.267 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 12.267 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 12.269 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.269 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.269 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 12.270 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 12.270 * [backup-simplify]: Simplify 0 into 0 12.273 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.274 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.275 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 12.280 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.280 * [backup-simplify]: Simplify 0 into 0 12.286 * [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 12.286 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.288 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 12.289 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.289 * [backup-simplify]: Simplify 0 into 0 12.301 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 12.302 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.304 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 12.306 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.306 * [backup-simplify]: Simplify 0 into 0 12.325 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 12.326 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.328 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 12.332 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.332 * [backup-simplify]: Simplify 0 into 0 12.365 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 12.366 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.368 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 12.374 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.374 * [backup-simplify]: Simplify 0 into 0 12.375 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 12.375 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 12.375 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 12.375 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 12.375 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 12.375 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 12.375 * [taylor]: Taking taylor expansion of 1/3 in N 12.375 * [backup-simplify]: Simplify 1/3 into 1/3 12.375 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 12.375 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.375 * [taylor]: Taking taylor expansion of N in N 12.375 * [backup-simplify]: Simplify 0 into 0 12.375 * [backup-simplify]: Simplify 1 into 1 12.375 * [backup-simplify]: Simplify (/ 1 1) into 1 12.376 * [backup-simplify]: Simplify (log 1) into 0 12.376 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.376 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 12.377 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 12.377 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 12.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 12.377 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 12.377 * [taylor]: Taking taylor expansion of 1/3 in N 12.377 * [backup-simplify]: Simplify 1/3 into 1/3 12.377 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 12.377 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.377 * [taylor]: Taking taylor expansion of N in N 12.377 * [backup-simplify]: Simplify 0 into 0 12.377 * [backup-simplify]: Simplify 1 into 1 12.377 * [backup-simplify]: Simplify (/ 1 1) into 1 12.378 * [backup-simplify]: Simplify (log 1) into 0 12.378 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.378 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 12.378 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 12.378 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 12.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.381 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.381 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.382 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 12.382 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 12.382 * [backup-simplify]: Simplify 0 into 0 12.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.385 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.385 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.386 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 12.387 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.390 * [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 12.391 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.391 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 12.392 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.392 * [backup-simplify]: Simplify 0 into 0 12.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.399 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 12.400 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.400 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 12.402 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.402 * [backup-simplify]: Simplify 0 into 0 12.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.420 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 12.421 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.423 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 12.427 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.427 * [backup-simplify]: Simplify 0 into 0 12.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.454 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 12.455 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.456 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 12.459 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.460 * [backup-simplify]: Simplify 0 into 0 12.460 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 12.460 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 12.460 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 12.460 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 12.460 * [taylor]: Taking taylor expansion of (cbrt -1) in N 12.460 * [taylor]: Taking taylor expansion of -1 in N 12.460 * [backup-simplify]: Simplify -1 into -1 12.460 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.461 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.461 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 12.461 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 12.461 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 12.461 * [taylor]: Taking taylor expansion of 1/3 in N 12.461 * [backup-simplify]: Simplify 1/3 into 1/3 12.461 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 12.461 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.461 * [taylor]: Taking taylor expansion of N in N 12.461 * [backup-simplify]: Simplify 0 into 0 12.461 * [backup-simplify]: Simplify 1 into 1 12.461 * [backup-simplify]: Simplify (/ 1 1) into 1 12.461 * [backup-simplify]: Simplify (log 1) into 0 12.462 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.462 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 12.462 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 12.462 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 12.462 * [taylor]: Taking taylor expansion of (cbrt -1) in N 12.462 * [taylor]: Taking taylor expansion of -1 in N 12.462 * [backup-simplify]: Simplify -1 into -1 12.462 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.463 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.463 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 12.463 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 12.463 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 12.463 * [taylor]: Taking taylor expansion of 1/3 in N 12.463 * [backup-simplify]: Simplify 1/3 into 1/3 12.463 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 12.463 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.463 * [taylor]: Taking taylor expansion of N in N 12.463 * [backup-simplify]: Simplify 0 into 0 12.463 * [backup-simplify]: Simplify 1 into 1 12.463 * [backup-simplify]: Simplify (/ 1 1) into 1 12.463 * [backup-simplify]: Simplify (log 1) into 0 12.464 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.464 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 12.464 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 12.464 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 12.464 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 12.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.466 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.466 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.466 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 12.467 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 12.467 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 12.467 * [backup-simplify]: Simplify 0 into 0 12.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.469 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.470 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.470 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 12.471 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.472 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.473 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 12.473 * [backup-simplify]: Simplify 0 into 0 12.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.476 * [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 12.477 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.477 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 12.478 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.481 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 12.481 * [backup-simplify]: Simplify 0 into 0 12.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.494 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 12.494 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.496 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 12.499 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.503 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 12.503 * [backup-simplify]: Simplify 0 into 0 12.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.524 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 12.525 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.527 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 12.531 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.534 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 12.534 * [backup-simplify]: Simplify 0 into 0 12.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.576 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 12.577 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.579 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 12.586 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.588 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.590 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 12.590 * [backup-simplify]: Simplify 0 into 0 12.591 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 12.591 * * * [progress]: simplifying candidates 12.594 * [simplify]: Simplifying: (fma (* (cbrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (cbrt (fma -2 (log (cbrt N)) (log (+ N 1.0))))) (cbrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (- (* (log N) 1/3))) (fma (- (log N)) 1/3 (* (log N) 1/3)) (fma (* (cbrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (cbrt (fma -2 (log (cbrt N)) (log (+ N 1.0))))) (cbrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1)) (fma (* (cbrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (cbrt (fma -2 (log (cbrt N)) (log (+ N 1.0))))) (cbrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (- (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))) (fma (- (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))))) (fma (* (cbrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (cbrt (fma -2 (log (cbrt N)) (log (+ N 1.0))))) (cbrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (- (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))) (fma (- (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))) (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N))))) (fma (* (cbrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (cbrt (fma -2 (log (cbrt N)) (log (+ N 1.0))))) (cbrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1)) (fma (sqrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (sqrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (- (* (log N) 1/3))) (fma (- (log N)) 1/3 (* (log N) 1/3)) (fma (sqrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (sqrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1)) (fma (sqrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (sqrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (- (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))) (fma (- (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))))) (fma (sqrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (sqrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (- (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))) (fma (- (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))) (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N))))) (fma (sqrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (sqrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1)) (fma 1 (fma -2 (log (cbrt N)) (log (+ N 1.0))) (- (* (log N) 1/3))) (fma (- (log N)) 1/3 (* (log N) 1/3)) (fma 1 (fma -2 (log (cbrt N)) (log (+ N 1.0))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1)) (fma 1 (fma -2 (log (cbrt N)) (log (+ N 1.0))) (- (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N))))))) (fma (- (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))) (* (cbrt (log (cbrt N))) (* (cbrt (log (cbrt N))) (cbrt (log (cbrt N)))))) (fma 1 (fma -2 (log (cbrt N)) (log (+ N 1.0))) (- (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N)))))) (fma (- (sqrt (log (cbrt N)))) (sqrt (log (cbrt N))) (* (sqrt (log (cbrt N))) (sqrt (log (cbrt N))))) (fma 1 (fma -2 (log (cbrt N)) (log (+ N 1.0))) (- (* (log (cbrt N)) 1))) (fma (- (log (cbrt N))) 1 (* (log (cbrt N)) 1)) (expm1 (- (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (cbrt N)))) (log1p (- (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (cbrt N)))) (- (log (cbrt N))) (- (log (cbrt N))) (- (log (cbrt N))) (/ (exp (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (cbrt N)) (log (- (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (cbrt N)))) (exp (- (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (cbrt N)))) (* (cbrt (- (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (cbrt N)))) (cbrt (- (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (cbrt N))))) (cbrt (- (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (cbrt N)))) (* (* (- (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (cbrt N))) (- (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (cbrt N)))) (- (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (cbrt N)))) (sqrt (- (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (cbrt N)))) (sqrt (- (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (cbrt N)))) (- (pow (fma -2 (log (cbrt N)) (log (+ N 1.0))) 3) (pow (log (cbrt N)) 3)) (+ (* (fma -2 (log (cbrt N)) (log (+ N 1.0))) (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (+ (* (log (cbrt N)) (log (cbrt N))) (* (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (cbrt N))))) (- (log (cbrt N))) (- (* (fma -2 (log (cbrt N)) (log (+ N 1.0))) (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (* (log (cbrt N)) (log (cbrt N)))) (+ (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (cbrt N))) (+ (sqrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (sqrt (log (cbrt N)))) (- (sqrt (fma -2 (log (cbrt N)) (log (+ N 1.0)))) (sqrt (log (cbrt N)))) (- (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (cbrt N))) (- (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (cbrt N))) (- (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (cbrt (* (cbrt N) (cbrt N))))) (- (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (cbrt (sqrt N)))) (- (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (cbrt 1))) (- (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (- (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log (sqrt (cbrt N)))) (- (fma -2 (log (cbrt N)) (log (+ N 1.0))) (log 1)) (- (log (+ N 1.0)) (log (cbrt N))) (- (log (cbrt 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))) (expm1 (cbrt N)) (log1p (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (expm1 (cbrt N)) (log1p (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (* 3 (log (pow N 1/3))))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (+ (* 3 (log (pow (/ 1 N) -1/3))) (log (/ 1 N))))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (+ (log (/ -1 N)) (* 3 (log (* (pow (* -1 N) 1/3) (cbrt -1))))))) (- (+ (* 1.0 N) (log 1.0)) (* 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)))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) 12.598 * * [simplify]: Extracting # 0 : cost 0 12.599 * * [simplify]: Extracting # 1 : cost 0 12.599 * * [simplify]: Extracting # 2 : cost 0 12.600 * * [simplify]: Extracting # 3 : cost 0 12.600 * * [simplify]: Extracting # 4 : cost 0 12.600 * * [simplify]: Extracting # 5 : cost 0 12.601 * * [simplify]: Extracting # 6 : cost 0 12.601 * * [simplify]: Extracting # 7 : cost 0 12.602 * * [simplify]: iteration 0 : 170 enodes (cost 1547 ) 12.678 * * [simplify]: Extracting # 0 : cost 0 12.679 * * [simplify]: Extracting # 1 : cost 0 12.680 * * [simplify]: Extracting # 2 : cost 0 12.681 * * [simplify]: Extracting # 3 : cost 0 12.682 * * [simplify]: Extracting # 4 : cost 0 12.683 * * [simplify]: iteration 1 : 368 enodes (cost 1352 ) 12.931 * * [simplify]: Extracting # 0 : cost 0 12.932 * * [simplify]: Extracting # 1 : cost 0 12.933 * * [simplify]: Extracting # 2 : cost 0 12.938 * * [simplify]: Extracting # 3 : cost 0 12.939 * * [simplify]: Extracting # 4 : cost 0 12.940 * * [simplify]: Extracting # 5 : cost 0 12.941 * * [simplify]: iteration 2 : 980 enodes (cost 1120 ) 14.656 * * [simplify]: Extracting # 0 : cost 0 14.664 * * [simplify]: Extracting # 1 : cost 0 14.668 * * [simplify]: Extracting # 2 : cost 0 14.672 * * [simplify]: Extracting # 3 : cost 0 14.680 * * [simplify]: Extracting # 4 : cost 0 14.684 * * [simplify]: iteration 3 : 3827 enodes (cost 903 ) 16.578 * * [simplify]: Extracting # 0 : cost 0 16.590 * * [simplify]: Extracting # 1 : cost 0 16.596 * * [simplify]: Extracting # 2 : cost 0 16.602 * * [simplify]: iteration done: 5000 enodes (cost 898 ) 16.603 * [simplify]: Simplified to: (- (pow (cbrt (fma -2/3 (log N) (log (+ N 1.0)))) 3) (log (cbrt N))) 0 (- (pow (cbrt (fma -2/3 (log N) (log (+ N 1.0)))) 3) (log (cbrt N))) 0 (- (pow (cbrt (fma -2/3 (log N) (log (+ N 1.0)))) 3) (log (cbrt N))) 0 (- (pow (cbrt (fma -2/3 (log N) (log (+ N 1.0)))) 3) (log (cbrt N))) 0 (- (pow (cbrt (fma -2/3 (log N) (log (+ N 1.0)))) 3) (log (cbrt N))) 0 (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0)))) 0 (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0)))) 0 (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0)))) 0 (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0)))) 0 (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0)))) 0 (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0)))) 0 (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0)))) 0 (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0)))) 0 (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0)))) 0 (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0)))) 0 (expm1 (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0))))) (log1p (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0))))) (- (log (cbrt N))) (- (log (cbrt N))) (- (log (cbrt N))) (/ (pow (cbrt N) -2) (/ (cbrt N) (+ N 1.0))) (log (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0))))) (/ (pow (cbrt N) -2) (/ (cbrt N) (+ N 1.0))) (* (cbrt (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0))))) (cbrt (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0)))))) (cbrt (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0))))) (pow (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0)))) 3) (sqrt (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0))))) (sqrt (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0))))) (- (pow (fma -2/3 (log N) (log (+ N 1.0))) 3) (pow (log (cbrt N)) 3)) (fma (fma -1/3 (log N) (log (+ N 1.0))) (fma -2/3 (log N) (log (+ N 1.0))) (pow (cbrt (log (cbrt N))) 6)) (- (log (cbrt N))) (* (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0)))) (fma -1/3 (log N) (log (+ N 1.0)))) (fma -1/3 (log N) (log (+ N 1.0))) (+ (sqrt (log (cbrt N))) (sqrt (fma -2/3 (log N) (log (+ N 1.0))))) (- (sqrt (fma -2/3 (log N) (log (+ N 1.0)))) (sqrt (log (cbrt N)))) (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0)))) (fma (log N) -1/3 (fma -2/3 (log N) (log (+ N 1.0)))) (fma -2/3 (log N) (- (log (+ N 1.0)) (log (cbrt (pow N 2/3))))) (fma -2/3 (log N) (- (log (+ N 1.0)) (log (cbrt (sqrt N))))) (fma -2/3 (log N) (log (+ N 1.0))) (fma -2 (log (cbrt (cbrt N))) (fma -2/3 (log N) (log (+ N 1.0)))) (fma -2/3 (log N) (- (log (+ N 1.0)) (log (sqrt (cbrt N))))) (fma -2/3 (log N) (log (+ N 1.0))) (fma -1/3 (log N) (log (+ N 1.0))) (- (log (cbrt N))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (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 (+ (pow N 3) (pow 1.0 3))) (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))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (expm1 (cbrt N)) (log1p (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (expm1 (cbrt N)) (log1p (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (- (fma 1.0 N (log 1.0)) (fma (/ 1/2 1.0) (/ (* N N) 1.0) (log N))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (- (log N) (log N))) (- (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log -1)) (fma 3 (log (* (cbrt (- N)) (cbrt -1))) (log (/ -1 N)))) (fma -1/2 (/ (pow N 2) (pow 1.0 2)) (fma 1.0 N (log 1.0))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log -1)) (log (/ -1 N))) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) 16.603 * * * [progress]: adding candidates to table 17.013 * [progress]: [Phase 3 of 3] Extracting. 17.013 * * [regime]: Finding splitpoints for: (# # #) 17.014 * * * [regime-changes]: Trying 1 branch expressions: (N) 17.014 * * * * [regimes]: Trying to branch on N from (# # #) 17.051 * * * [regime]: Found split indices: #