25.587 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.076 * * * [progress]: [2/2] Setting up program. 0.078 * [progress]: [Phase 2 of 3] Improving. 0.078 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.079 * * [simplify]: Extracting # 0 : cost 0 0.079 * * [simplify]: Extracting # 1 : cost 0 0.079 * * [simplify]: Extracting # 2 : cost 0 0.079 * * [simplify]: Extracting # 3 : cost 0 0.079 * * [simplify]: Extracting # 4 : cost 0 0.079 * * [simplify]: Extracting # 5 : cost 0 0.079 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.080 * * [simplify]: Extracting # 0 : cost 0 0.080 * * [simplify]: Extracting # 1 : cost 0 0.080 * * [simplify]: Extracting # 2 : cost 0 0.080 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.081 * * [simplify]: Extracting # 0 : cost 0 0.081 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.082 * * [simplify]: Extracting # 0 : cost 0 0.082 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.082 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.082 * * [progress]: iteration 1 / 4 0.083 * * * [progress]: picking best candidate 0.084 * * * * [pick]: Picked # 0.084 * * * [progress]: localizing error 0.104 * * * [progress]: generating rewritten candidates 0.104 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.117 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.124 * * * [progress]: generating series expansions 0.124 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.124 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.124 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.124 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.124 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.124 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of 1.0 in N 0.124 * [backup-simplify]: Simplify 1.0 into 1.0 0.125 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.125 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.125 * [taylor]: Taking taylor expansion of (log N) in N 0.125 * [taylor]: Taking taylor expansion of N in N 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (log 1) into 0 0.125 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.125 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.125 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [taylor]: Taking taylor expansion of 1.0 in N 0.126 * [backup-simplify]: Simplify 1.0 into 1.0 0.126 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.126 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.126 * [taylor]: Taking taylor expansion of (log N) in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (log 1) into 0 0.127 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.127 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.127 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.127 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.128 * [backup-simplify]: Simplify (+ 1 0) into 1 0.131 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.132 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.132 * [backup-simplify]: Simplify (- 0) into 0 0.133 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.133 * [backup-simplify]: Simplify 1.0 into 1.0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [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)) 0.141 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.144 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.146 * [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))) 0.146 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.146 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.146 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.146 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [taylor]: Taking taylor expansion of 1.0 in N 0.147 * [backup-simplify]: Simplify 1.0 into 1.0 0.147 * [backup-simplify]: Simplify (+ 1 0) into 1 0.147 * [backup-simplify]: Simplify (log 1) into 0 0.147 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [backup-simplify]: Simplify (log 1) into 0 0.148 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.148 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.148 * [taylor]: Taking taylor expansion of N in N 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [taylor]: Taking taylor expansion of 1.0 in N 0.148 * [backup-simplify]: Simplify 1.0 into 1.0 0.149 * [backup-simplify]: Simplify (+ 1 0) into 1 0.149 * [backup-simplify]: Simplify (log 1) into 0 0.149 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.149 * [taylor]: Taking taylor expansion of N in N 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [backup-simplify]: Simplify (log 1) into 0 0.150 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.150 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.150 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.150 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.157 * [backup-simplify]: Simplify 1.0 into 1.0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [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 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.174 * [backup-simplify]: Simplify (- 0) into 0 0.174 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.175 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [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 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [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 0.198 * [backup-simplify]: Simplify (- 0) into 0 0.198 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.198 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.199 * [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)))) 0.199 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.199 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.199 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.199 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.199 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.199 * [taylor]: Taking taylor expansion of 1.0 in N 0.199 * [backup-simplify]: Simplify 1.0 into 1.0 0.199 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [backup-simplify]: Simplify (- 1) into -1 0.200 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.200 * [backup-simplify]: Simplify (log -1) into (log -1) 0.200 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.200 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.200 * [taylor]: Taking taylor expansion of -1 in N 0.200 * [backup-simplify]: Simplify -1 into -1 0.200 * [taylor]: Taking taylor expansion of N in N 0.200 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ -1 1) into -1 0.201 * [backup-simplify]: Simplify (log -1) into (log -1) 0.201 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.201 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.201 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.201 * [taylor]: Taking taylor expansion of 1.0 in N 0.201 * [backup-simplify]: Simplify 1.0 into 1.0 0.201 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.201 * [taylor]: Taking taylor expansion of N in N 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [backup-simplify]: Simplify (- 1) into -1 0.202 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.202 * [backup-simplify]: Simplify (log -1) into (log -1) 0.202 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.202 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.202 * [taylor]: Taking taylor expansion of -1 in N 0.202 * [backup-simplify]: Simplify -1 into -1 0.202 * [taylor]: Taking taylor expansion of N in N 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ -1 1) into -1 0.203 * [backup-simplify]: Simplify (log -1) into (log -1) 0.203 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.204 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.204 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.205 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.210 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.211 * [backup-simplify]: Simplify (- 0) into 0 0.212 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.212 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (- 0) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [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 0.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.231 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.231 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [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 0.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.249 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.250 * [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)))) 0.250 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.250 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.250 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.250 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.251 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.251 * [taylor]: Taking taylor expansion of N in N 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [taylor]: Taking taylor expansion of 1.0 in N 0.251 * [backup-simplify]: Simplify 1.0 into 1.0 0.251 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.251 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.251 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.251 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.251 * [taylor]: Taking taylor expansion of N in N 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [taylor]: Taking taylor expansion of 1.0 in N 0.251 * [backup-simplify]: Simplify 1.0 into 1.0 0.252 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.252 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.252 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.252 * [backup-simplify]: Simplify (+ 1 0) into 1 0.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.256 * [backup-simplify]: Simplify 1.0 into 1.0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [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)) 0.262 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.264 * [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)))) 0.264 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.265 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.265 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.265 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.265 * [taylor]: Taking taylor expansion of N in N 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [taylor]: Taking taylor expansion of 1.0 in N 0.266 * [backup-simplify]: Simplify 1.0 into 1.0 0.266 * [backup-simplify]: Simplify (+ 1 0) into 1 0.267 * [backup-simplify]: Simplify (log 1) into 0 0.267 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.267 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.267 * [taylor]: Taking taylor expansion of N in N 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [taylor]: Taking taylor expansion of 1.0 in N 0.267 * [backup-simplify]: Simplify 1.0 into 1.0 0.268 * [backup-simplify]: Simplify (+ 1 0) into 1 0.269 * [backup-simplify]: Simplify (log 1) into 0 0.269 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.269 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.278 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.278 * [backup-simplify]: Simplify 1.0 into 1.0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [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 0.291 * [backup-simplify]: Simplify -0.5 into -0.5 0.292 * [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)))) 0.292 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.292 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.292 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.292 * [taylor]: Taking taylor expansion of 1.0 in N 0.292 * [backup-simplify]: Simplify 1.0 into 1.0 0.292 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.292 * [taylor]: Taking taylor expansion of N in N 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [backup-simplify]: Simplify (- 1) into -1 0.293 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.294 * [backup-simplify]: Simplify (log -1) into (log -1) 0.294 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.294 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.294 * [taylor]: Taking taylor expansion of 1.0 in N 0.294 * [backup-simplify]: Simplify 1.0 into 1.0 0.294 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.294 * [taylor]: Taking taylor expansion of N in N 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.295 * [backup-simplify]: Simplify (- 1) into -1 0.295 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.295 * [backup-simplify]: Simplify (log -1) into (log -1) 0.296 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.297 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.305 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.305 * [backup-simplify]: Simplify -1.0 into -1.0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [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 0.322 * [backup-simplify]: Simplify -0.5 into -0.5 0.322 * [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)))) 0.323 * * * [progress]: simplifying candidates 0.324 * [simplify]: Simplifying: (/ (+ 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)) (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)))) 0.326 * * [simplify]: Extracting # 0 : cost 0 0.326 * * [simplify]: Extracting # 1 : cost 0 0.326 * * [simplify]: Extracting # 2 : cost 0 0.327 * * [simplify]: Extracting # 3 : cost 0 0.327 * * [simplify]: Extracting # 4 : cost 0 0.327 * * [simplify]: Extracting # 5 : cost 0 0.328 * * [simplify]: Extracting # 6 : cost 0 0.328 * * [simplify]: Extracting # 7 : cost 0 0.328 * * [simplify]: iteration 0 : 101 enodes (cost 510 ) 0.370 * * [simplify]: Extracting # 0 : cost 0 0.370 * * [simplify]: Extracting # 1 : cost 0 0.371 * * [simplify]: Extracting # 2 : cost 0 0.371 * * [simplify]: Extracting # 3 : cost 0 0.372 * * [simplify]: Extracting # 4 : cost 0 0.372 * * [simplify]: iteration 1 : 213 enodes (cost 488 ) 0.452 * * [simplify]: Extracting # 0 : cost 0 0.453 * * [simplify]: Extracting # 1 : cost 0 0.453 * * [simplify]: Extracting # 2 : cost 0 0.454 * * [simplify]: Extracting # 3 : cost 0 0.454 * * [simplify]: Extracting # 4 : cost 0 0.455 * * [simplify]: iteration 2 : 464 enodes (cost 445 ) 0.666 * * [simplify]: Extracting # 0 : cost 0 0.668 * * [simplify]: Extracting # 1 : cost 0 0.670 * * [simplify]: Extracting # 2 : cost 0 0.672 * * [simplify]: Extracting # 3 : cost 0 0.674 * * [simplify]: Extracting # 4 : cost 0 0.676 * * [simplify]: iteration 3 : 1067 enodes (cost 443 ) 1.635 * * [simplify]: Extracting # 0 : cost 0 1.642 * * [simplify]: Extracting # 1 : cost 0 1.646 * * [simplify]: Extracting # 2 : cost 0 1.649 * * [simplify]: Extracting # 3 : cost 0 1.651 * * [simplify]: Extracting # 4 : cost 0 1.656 * * [simplify]: iteration 4 : 2569 enodes (cost 438 ) 3.319 * * [simplify]: Extracting # 0 : cost 0 3.326 * * [simplify]: Extracting # 1 : cost 0 3.334 * * [simplify]: Extracting # 2 : cost 0 3.343 * * [simplify]: Extracting # 3 : cost 0 3.354 * * [simplify]: Extracting # 4 : cost 0 3.359 * * [simplify]: Extracting # 5 : cost 0 3.364 * * [simplify]: iteration done: 5000 enodes (cost 426 ) 3.364 * [simplify]: Simplified to: (/ (+ 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)) (+ (* (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)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (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 N) (* 1.0 (- 1.0 N)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (* 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 (+ (* 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))) (+ (* N (+ (* -1/2 (/ N (* 1.0 1.0))) 1.0)) (- (log 1.0) (log N))) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (* N (+ (* -1/2 (/ N (* 1.0 1.0))) 1.0)) (log 1.0)) (+ (/ (- 1.0 (/ 0.5 N)) N) (log N)) (+ (/ (- 1.0 (/ 0.5 N)) N) (log N)) 3.364 * * * [progress]: adding candidates to table 3.492 * * [progress]: iteration 2 / 4 3.492 * * * [progress]: picking best candidate 3.502 * * * * [pick]: Picked # 3.502 * * * [progress]: localizing error 3.523 * * * [progress]: generating rewritten candidates 3.523 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.641 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.650 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.700 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 3.726 * * * [progress]: generating series expansions 3.726 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.726 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.726 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 3.726 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 3.726 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 3.727 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.727 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.727 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.727 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.727 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.727 * [taylor]: Taking taylor expansion of N in N 3.727 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify 1 into 1 3.727 * [backup-simplify]: Simplify (* 1 1) into 1 3.727 * [backup-simplify]: Simplify (* 1 1) into 1 3.728 * [backup-simplify]: Simplify (/ 1 1) into 1 3.728 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.728 * [taylor]: Taking taylor expansion of 1.0 in N 3.728 * [backup-simplify]: Simplify 1.0 into 1.0 3.728 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.728 * [taylor]: Taking taylor expansion of N in N 3.728 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify 1 into 1 3.728 * [backup-simplify]: Simplify (/ 1 1) into 1 3.728 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.728 * [taylor]: Taking taylor expansion of 0.5 in N 3.728 * [backup-simplify]: Simplify 0.5 into 0.5 3.728 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.728 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.728 * [taylor]: Taking taylor expansion of N in N 3.728 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify 1 into 1 3.728 * [backup-simplify]: Simplify (* 1 1) into 1 3.729 * [backup-simplify]: Simplify (/ 1 1) into 1 3.729 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 3.729 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 3.729 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.729 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.729 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.729 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.729 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.729 * [taylor]: Taking taylor expansion of N in N 3.729 * [backup-simplify]: Simplify 0 into 0 3.729 * [backup-simplify]: Simplify 1 into 1 3.729 * [backup-simplify]: Simplify (* 1 1) into 1 3.729 * [backup-simplify]: Simplify (* 1 1) into 1 3.729 * [backup-simplify]: Simplify (/ 1 1) into 1 3.730 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.730 * [taylor]: Taking taylor expansion of 1.0 in N 3.730 * [backup-simplify]: Simplify 1.0 into 1.0 3.730 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.730 * [taylor]: Taking taylor expansion of N in N 3.730 * [backup-simplify]: Simplify 0 into 0 3.730 * [backup-simplify]: Simplify 1 into 1 3.730 * [backup-simplify]: Simplify (/ 1 1) into 1 3.730 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.730 * [taylor]: Taking taylor expansion of 0.5 in N 3.730 * [backup-simplify]: Simplify 0.5 into 0.5 3.730 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.730 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.730 * [taylor]: Taking taylor expansion of N in N 3.730 * [backup-simplify]: Simplify 0 into 0 3.730 * [backup-simplify]: Simplify 1 into 1 3.730 * [backup-simplify]: Simplify (* 1 1) into 1 3.731 * [backup-simplify]: Simplify (/ 1 1) into 1 3.731 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.731 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.731 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.731 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.733 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.733 * [backup-simplify]: Simplify (+ 0 0) into 0 3.734 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.734 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.734 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.735 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.737 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.737 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.737 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.738 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.739 * [backup-simplify]: Simplify (- 0) into 0 3.739 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.739 * [backup-simplify]: Simplify 1.0 into 1.0 3.740 * [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)))) 3.740 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 N) 3)) (/ (- 1.0 (/ 0.5 (/ 1 N))) (/ 1 N))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 3.740 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 3.740 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 3.740 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.740 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.740 * [taylor]: Taking taylor expansion of 1.0 in N 3.740 * [backup-simplify]: Simplify 1.0 into 1.0 3.740 * [taylor]: Taking taylor expansion of N in N 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 1 into 1 3.740 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.740 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.740 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.740 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.740 * [taylor]: Taking taylor expansion of N in N 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 1 into 1 3.740 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.740 * [taylor]: Taking taylor expansion of 0.5 in N 3.740 * [backup-simplify]: Simplify 0.5 into 0.5 3.740 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.740 * [taylor]: Taking taylor expansion of N in N 3.740 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify 1 into 1 3.741 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 3.741 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.741 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.741 * [taylor]: Taking taylor expansion of 1.0 in N 3.741 * [backup-simplify]: Simplify 1.0 into 1.0 3.741 * [taylor]: Taking taylor expansion of N in N 3.741 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify 1 into 1 3.741 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.741 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.741 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.741 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.741 * [taylor]: Taking taylor expansion of N in N 3.741 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify 1 into 1 3.741 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.741 * [taylor]: Taking taylor expansion of 0.5 in N 3.741 * [backup-simplify]: Simplify 0.5 into 0.5 3.741 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.741 * [taylor]: Taking taylor expansion of N in N 3.741 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify 1 into 1 3.741 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.741 * [backup-simplify]: Simplify (+ 0 0) into 0 3.742 * [backup-simplify]: Simplify (+ 0 0) into 0 3.742 * [backup-simplify]: Simplify 0 into 0 3.743 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.743 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.743 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.743 * [backup-simplify]: Simplify 1.0 into 1.0 3.744 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.744 * [backup-simplify]: Simplify (+ 0 0) into 0 3.744 * [backup-simplify]: Simplify (* 1 1) into 1 3.744 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.745 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.745 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.745 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.746 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.746 * [backup-simplify]: Simplify (* 1 1) into 1 3.747 * [backup-simplify]: Simplify (* 1 1) into 1 3.747 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.747 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.748 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.749 * [backup-simplify]: Simplify (- 0) into 0 3.749 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.749 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.750 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.751 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (/ (- 1.0 (/ 0.5 (/ 1 (- N)))) (/ 1 (- N)))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 3.751 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 3.751 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 3.751 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.751 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.751 * [taylor]: Taking taylor expansion of 0.5 in N 3.751 * [backup-simplify]: Simplify 0.5 into 0.5 3.751 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.751 * [taylor]: Taking taylor expansion of N in N 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 1 into 1 3.751 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.751 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.751 * [taylor]: Taking taylor expansion of 1.0 in N 3.751 * [backup-simplify]: Simplify 1.0 into 1.0 3.751 * [taylor]: Taking taylor expansion of N in N 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 1 into 1 3.751 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.751 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.751 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.751 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.751 * [taylor]: Taking taylor expansion of N in N 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 1 into 1 3.751 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 3.752 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.752 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.752 * [taylor]: Taking taylor expansion of 0.5 in N 3.752 * [backup-simplify]: Simplify 0.5 into 0.5 3.752 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.752 * [taylor]: Taking taylor expansion of N in N 3.752 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify 1 into 1 3.752 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.752 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.752 * [taylor]: Taking taylor expansion of 1.0 in N 3.752 * [backup-simplify]: Simplify 1.0 into 1.0 3.752 * [taylor]: Taking taylor expansion of N in N 3.752 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify 1 into 1 3.752 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.752 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.752 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.752 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.752 * [taylor]: Taking taylor expansion of N in N 3.752 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify 1 into 1 3.753 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.753 * [backup-simplify]: Simplify (+ 0 0) into 0 3.753 * [backup-simplify]: Simplify (+ 0 0) into 0 3.754 * [backup-simplify]: Simplify (- 0) into 0 3.754 * [backup-simplify]: Simplify 0 into 0 3.755 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.756 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.756 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.757 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.761 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.762 * [backup-simplify]: Simplify (* 1 1) into 1 3.762 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.763 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.763 * [backup-simplify]: Simplify (+ 0 0) into 0 3.764 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.764 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.764 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.766 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.767 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.767 * [backup-simplify]: Simplify (* 1 1) into 1 3.768 * [backup-simplify]: Simplify (* 1 1) into 1 3.768 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.768 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.768 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.769 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.769 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.770 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.770 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.770 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 3.770 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 3.770 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.770 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.770 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.770 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.770 * [taylor]: Taking taylor expansion of N in N 3.770 * [backup-simplify]: Simplify 0 into 0 3.770 * [backup-simplify]: Simplify 1 into 1 3.771 * [backup-simplify]: Simplify (* 1 1) into 1 3.771 * [backup-simplify]: Simplify (* 1 1) into 1 3.771 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.771 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.771 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.771 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.771 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.771 * [taylor]: Taking taylor expansion of N in N 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify 1 into 1 3.771 * [backup-simplify]: Simplify (* 1 1) into 1 3.772 * [backup-simplify]: Simplify (* 1 1) into 1 3.772 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.772 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 3.773 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.775 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.781 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.783 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 3.783 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 3.783 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.783 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.783 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.783 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.783 * [taylor]: Taking taylor expansion of N in N 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify 1 into 1 3.783 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.783 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.783 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.784 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.784 * [taylor]: Taking taylor expansion of N in N 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 1 into 1 3.784 * [backup-simplify]: Simplify (* 1 1) into 1 3.784 * [backup-simplify]: Simplify (* 1 1) into 1 3.784 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.784 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.786 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.786 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.787 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.787 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.789 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.789 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.791 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.791 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.794 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.794 * [backup-simplify]: Simplify 0 into 0 3.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.797 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.797 * [backup-simplify]: Simplify 0 into 0 3.797 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.797 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 3.797 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 3.797 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.797 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.797 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.797 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.797 * [taylor]: Taking taylor expansion of N in N 3.797 * [backup-simplify]: Simplify 0 into 0 3.797 * [backup-simplify]: Simplify 1 into 1 3.797 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.797 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.797 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.798 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.798 * [taylor]: Taking taylor expansion of N in N 3.798 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify 1 into 1 3.798 * [backup-simplify]: Simplify (* 1 1) into 1 3.798 * [backup-simplify]: Simplify (* 1 1) into 1 3.799 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 3.799 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.801 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 3.801 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.803 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.803 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.807 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.807 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.810 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.810 * [backup-simplify]: Simplify 0 into 0 3.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.814 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.814 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.819 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.819 * [backup-simplify]: Simplify 0 into 0 3.819 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.819 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.819 * [backup-simplify]: Simplify (/ (- 1.0 (/ 0.5 N)) N) into (/ (- 1.0 (* 0.5 (/ 1 N))) N) 3.819 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in (N) around 0 3.819 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 3.819 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 3.819 * [taylor]: Taking taylor expansion of 1.0 in N 3.819 * [backup-simplify]: Simplify 1.0 into 1.0 3.820 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 3.820 * [taylor]: Taking taylor expansion of 0.5 in N 3.820 * [backup-simplify]: Simplify 0.5 into 0.5 3.820 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.820 * [taylor]: Taking taylor expansion of N in N 3.820 * [backup-simplify]: Simplify 0 into 0 3.820 * [backup-simplify]: Simplify 1 into 1 3.820 * [backup-simplify]: Simplify (/ 1 1) into 1 3.820 * [taylor]: Taking taylor expansion of N in N 3.820 * [backup-simplify]: Simplify 0 into 0 3.820 * [backup-simplify]: Simplify 1 into 1 3.821 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.821 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.822 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.823 * [backup-simplify]: Simplify (/ (- 0.5) 1) into -0.5 3.823 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 3.823 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 3.823 * [taylor]: Taking taylor expansion of 1.0 in N 3.823 * [backup-simplify]: Simplify 1.0 into 1.0 3.823 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 3.823 * [taylor]: Taking taylor expansion of 0.5 in N 3.823 * [backup-simplify]: Simplify 0.5 into 0.5 3.823 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.823 * [taylor]: Taking taylor expansion of N in N 3.823 * [backup-simplify]: Simplify 0 into 0 3.823 * [backup-simplify]: Simplify 1 into 1 3.823 * [backup-simplify]: Simplify (/ 1 1) into 1 3.823 * [taylor]: Taking taylor expansion of N in N 3.823 * [backup-simplify]: Simplify 0 into 0 3.823 * [backup-simplify]: Simplify 1 into 1 3.824 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.824 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.825 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.826 * [backup-simplify]: Simplify (/ (- 0.5) 1) into -0.5 3.826 * [backup-simplify]: Simplify -0.5 into -0.5 3.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.827 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.828 * [backup-simplify]: Simplify (- 0) into 0 3.828 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.830 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -0.5 (/ 0 1)))) into 1.0 3.830 * [backup-simplify]: Simplify 1.0 into 1.0 3.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.832 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.832 * [backup-simplify]: Simplify (- 0) into 0 3.833 * [backup-simplify]: Simplify (+ 0 0) into 0 3.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.834 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.836 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.837 * [backup-simplify]: Simplify (- 0) into 0 3.837 * [backup-simplify]: Simplify (+ 0 0) into 0 3.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.838 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.841 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.841 * [backup-simplify]: Simplify (- 0) into 0 3.842 * [backup-simplify]: Simplify (+ 0 0) into 0 3.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.843 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.845 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.846 * [backup-simplify]: Simplify (- 0) into 0 3.846 * [backup-simplify]: Simplify (+ 0 0) into 0 3.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.847 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.850 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.850 * [backup-simplify]: Simplify (- 0) into 0 3.851 * [backup-simplify]: Simplify (+ 0 0) into 0 3.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.852 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.855 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.855 * [backup-simplify]: Simplify (- 0) into 0 3.855 * [backup-simplify]: Simplify (+ 0 0) into 0 3.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.857 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (* -0.5 (pow (/ 1 N) 2))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.857 * [backup-simplify]: Simplify (/ (- 1.0 (/ 0.5 (/ 1 N))) (/ 1 N)) into (* N (- 1.0 (* 0.5 N))) 3.857 * [approximate]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in (N) around 0 3.857 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 3.857 * [taylor]: Taking taylor expansion of N in N 3.857 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify 1 into 1 3.857 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 3.857 * [taylor]: Taking taylor expansion of 1.0 in N 3.857 * [backup-simplify]: Simplify 1.0 into 1.0 3.857 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.857 * [taylor]: Taking taylor expansion of 0.5 in N 3.857 * [backup-simplify]: Simplify 0.5 into 0.5 3.857 * [taylor]: Taking taylor expansion of N in N 3.857 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify 1 into 1 3.857 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 3.858 * [taylor]: Taking taylor expansion of N in N 3.858 * [backup-simplify]: Simplify 0 into 0 3.858 * [backup-simplify]: Simplify 1 into 1 3.858 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 3.858 * [taylor]: Taking taylor expansion of 1.0 in N 3.858 * [backup-simplify]: Simplify 1.0 into 1.0 3.858 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.858 * [taylor]: Taking taylor expansion of 0.5 in N 3.858 * [backup-simplify]: Simplify 0.5 into 0.5 3.858 * [taylor]: Taking taylor expansion of N in N 3.858 * [backup-simplify]: Simplify 0 into 0 3.858 * [backup-simplify]: Simplify 1 into 1 3.858 * [backup-simplify]: Simplify (* 0.5 0) into 0 3.859 * [backup-simplify]: Simplify (- 0) into 0 3.859 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.859 * [backup-simplify]: Simplify (* 0 1.0) into 0 3.859 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 3.861 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.862 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.864 * [backup-simplify]: Simplify (+ (* 0 (- 0.5)) (* 1 1.0)) into 1.0 3.864 * [backup-simplify]: Simplify 1.0 into 1.0 3.865 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 3.865 * [backup-simplify]: Simplify (- 0) into 0 3.866 * [backup-simplify]: Simplify (+ 0 0) into 0 3.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 0.5)) (* 0 1.0))) into (- 0.5) 3.869 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.871 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.871 * [backup-simplify]: Simplify (- 0) into 0 3.871 * [backup-simplify]: Simplify (+ 0 0) into 0 3.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 1.0)))) into 0 3.873 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.874 * [backup-simplify]: Simplify (- 0) into 0 3.875 * [backup-simplify]: Simplify (+ 0 0) into 0 3.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))) into 0 3.876 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.878 * [backup-simplify]: Simplify (- 0) into 0 3.879 * [backup-simplify]: Simplify (+ 0 0) into 0 3.880 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))) into 0 3.881 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.885 * [backup-simplify]: Simplify (- 0) into 0 3.886 * [backup-simplify]: Simplify (+ 0 0) into 0 3.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))))) into 0 3.888 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.891 * [backup-simplify]: Simplify (- 0) into 0 3.891 * [backup-simplify]: Simplify (+ 0 0) into 0 3.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))))) into 0 3.893 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 3.896 * [backup-simplify]: Simplify (- 0) into 0 3.896 * [backup-simplify]: Simplify (+ 0 0) into 0 3.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))))))) into 0 3.899 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.900 * [backup-simplify]: Simplify (/ (- 1.0 (/ 0.5 (/ 1 (- N)))) (/ 1 (- N))) into (* -1 (* (+ (* 0.5 N) 1.0) N)) 3.900 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in (N) around 0 3.900 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in N 3.900 * [taylor]: Taking taylor expansion of -1 in N 3.900 * [backup-simplify]: Simplify -1 into -1 3.900 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 3.900 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 3.900 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.900 * [taylor]: Taking taylor expansion of 0.5 in N 3.900 * [backup-simplify]: Simplify 0.5 into 0.5 3.900 * [taylor]: Taking taylor expansion of N in N 3.900 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify 1 into 1 3.900 * [taylor]: Taking taylor expansion of 1.0 in N 3.900 * [backup-simplify]: Simplify 1.0 into 1.0 3.900 * [taylor]: Taking taylor expansion of N in N 3.900 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify 1 into 1 3.900 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in N 3.900 * [taylor]: Taking taylor expansion of -1 in N 3.900 * [backup-simplify]: Simplify -1 into -1 3.900 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 3.900 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 3.900 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.900 * [taylor]: Taking taylor expansion of 0.5 in N 3.900 * [backup-simplify]: Simplify 0.5 into 0.5 3.900 * [taylor]: Taking taylor expansion of N in N 3.900 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify 1 into 1 3.900 * [taylor]: Taking taylor expansion of 1.0 in N 3.900 * [backup-simplify]: Simplify 1.0 into 1.0 3.900 * [taylor]: Taking taylor expansion of N in N 3.900 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify 1 into 1 3.901 * [backup-simplify]: Simplify (* 0.5 0) into 0 3.901 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.901 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.901 * [backup-simplify]: Simplify (* -1 0) into 0 3.902 * [backup-simplify]: Simplify 0 into 0 3.902 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 3.903 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.904 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0.5 0)) into 1.0 3.904 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 0)) into (- 1.0) 3.905 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.905 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 3.905 * [backup-simplify]: Simplify (+ 0 0) into 0 3.907 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 1) (* 0 0))) into 0.5 3.908 * [backup-simplify]: Simplify (+ (* -1 0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.5) 3.908 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.909 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.909 * [backup-simplify]: Simplify (+ 0 0) into 0 3.910 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 1) (* 0 0)))) into 0 3.911 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))) into 0 3.911 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.912 * [backup-simplify]: Simplify (+ 0 0) into 0 3.913 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.914 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))) into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.915 * [backup-simplify]: Simplify (+ 0 0) into 0 3.916 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.916 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))))) into 0 3.917 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.918 * [backup-simplify]: Simplify (+ 0 0) into 0 3.919 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.920 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))))) into 0 3.920 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.921 * [backup-simplify]: Simplify (+ 0 0) into 0 3.922 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.923 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))))))) into 0 3.923 * [backup-simplify]: Simplify 0 into 0 3.924 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 3.925 * [backup-simplify]: Simplify (+ 0 0) into 0 3.926 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 3.927 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))))))) into 0 3.927 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N)))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.928 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.928 * [backup-simplify]: Simplify (- 1.0 (/ 0.5 N)) into (- 1.0 (* 0.5 (/ 1 N))) 3.928 * [approximate]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in (N) around 0 3.928 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 3.928 * [taylor]: Taking taylor expansion of 1.0 in N 3.928 * [backup-simplify]: Simplify 1.0 into 1.0 3.928 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 3.928 * [taylor]: Taking taylor expansion of 0.5 in N 3.928 * [backup-simplify]: Simplify 0.5 into 0.5 3.928 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.928 * [taylor]: Taking taylor expansion of N in N 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 1 into 1 3.928 * [backup-simplify]: Simplify (/ 1 1) into 1 3.928 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 3.929 * [taylor]: Taking taylor expansion of 1.0 in N 3.929 * [backup-simplify]: Simplify 1.0 into 1.0 3.929 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 3.929 * [taylor]: Taking taylor expansion of 0.5 in N 3.929 * [backup-simplify]: Simplify 0.5 into 0.5 3.929 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.929 * [taylor]: Taking taylor expansion of N in N 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 1 into 1 3.929 * [backup-simplify]: Simplify (/ 1 1) into 1 3.929 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.929 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.930 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.930 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.931 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.931 * [backup-simplify]: Simplify (- 0) into 0 3.932 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.932 * [backup-simplify]: Simplify 1.0 into 1.0 3.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.933 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.933 * [backup-simplify]: Simplify (- 0) into 0 3.933 * [backup-simplify]: Simplify (+ 0 0) into 0 3.933 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.934 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.935 * [backup-simplify]: Simplify (- 0) into 0 3.935 * [backup-simplify]: Simplify (+ 0 0) into 0 3.935 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.936 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.936 * [backup-simplify]: Simplify (- 0) into 0 3.936 * [backup-simplify]: Simplify (+ 0 0) into 0 3.937 * [backup-simplify]: Simplify 0 into 0 3.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.938 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.938 * [backup-simplify]: Simplify (- 0) into 0 3.938 * [backup-simplify]: Simplify (+ 0 0) into 0 3.938 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.940 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.940 * [backup-simplify]: Simplify (- 0) into 0 3.940 * [backup-simplify]: Simplify (+ 0 0) into 0 3.940 * [backup-simplify]: Simplify 0 into 0 3.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.942 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.942 * [backup-simplify]: Simplify (- 0) into 0 3.942 * [backup-simplify]: Simplify (+ 0 0) into 0 3.942 * [backup-simplify]: Simplify 0 into 0 3.943 * [backup-simplify]: Simplify (+ 1.0 (* (- 0.5) (/ 1 N))) into (- 1.0 (* 0.5 (/ 1 N))) 3.943 * [backup-simplify]: Simplify (- 1.0 (/ 0.5 (/ 1 N))) into (- 1.0 (* 0.5 N)) 3.943 * [approximate]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in (N) around 0 3.943 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 3.943 * [taylor]: Taking taylor expansion of 1.0 in N 3.943 * [backup-simplify]: Simplify 1.0 into 1.0 3.943 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.943 * [taylor]: Taking taylor expansion of 0.5 in N 3.943 * [backup-simplify]: Simplify 0.5 into 0.5 3.943 * [taylor]: Taking taylor expansion of N in N 3.943 * [backup-simplify]: Simplify 0 into 0 3.943 * [backup-simplify]: Simplify 1 into 1 3.943 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 3.943 * [taylor]: Taking taylor expansion of 1.0 in N 3.943 * [backup-simplify]: Simplify 1.0 into 1.0 3.943 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.943 * [taylor]: Taking taylor expansion of 0.5 in N 3.943 * [backup-simplify]: Simplify 0.5 into 0.5 3.943 * [taylor]: Taking taylor expansion of N in N 3.943 * [backup-simplify]: Simplify 0 into 0 3.943 * [backup-simplify]: Simplify 1 into 1 3.943 * [backup-simplify]: Simplify (* 0.5 0) into 0 3.944 * [backup-simplify]: Simplify (- 0) into 0 3.944 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.944 * [backup-simplify]: Simplify 1.0 into 1.0 3.945 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 3.945 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.946 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.946 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.946 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 3.947 * [backup-simplify]: Simplify (- 0) into 0 3.947 * [backup-simplify]: Simplify (+ 0 0) into 0 3.947 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.948 * [backup-simplify]: Simplify (- 0) into 0 3.948 * [backup-simplify]: Simplify (+ 0 0) into 0 3.948 * [backup-simplify]: Simplify 0 into 0 3.949 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.949 * [backup-simplify]: Simplify (- 0) into 0 3.949 * [backup-simplify]: Simplify (+ 0 0) into 0 3.949 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.950 * [backup-simplify]: Simplify (- 0) into 0 3.951 * [backup-simplify]: Simplify (+ 0 0) into 0 3.951 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.952 * [backup-simplify]: Simplify (- 0) into 0 3.952 * [backup-simplify]: Simplify (+ 0 0) into 0 3.952 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.953 * [backup-simplify]: Simplify (- 0) into 0 3.953 * [backup-simplify]: Simplify (+ 0 0) into 0 3.953 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify (+ (* (- 0.5) (/ 1 N)) 1.0) into (- 1.0 (* 0.5 (/ 1 N))) 3.954 * [backup-simplify]: Simplify (- 1.0 (/ 0.5 (/ 1 (- N)))) into (+ (* 0.5 N) 1.0) 3.954 * [approximate]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in (N) around 0 3.954 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 3.954 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.954 * [taylor]: Taking taylor expansion of 0.5 in N 3.954 * [backup-simplify]: Simplify 0.5 into 0.5 3.954 * [taylor]: Taking taylor expansion of N in N 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 1 into 1 3.954 * [taylor]: Taking taylor expansion of 1.0 in N 3.954 * [backup-simplify]: Simplify 1.0 into 1.0 3.954 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 3.954 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.954 * [taylor]: Taking taylor expansion of 0.5 in N 3.954 * [backup-simplify]: Simplify 0.5 into 0.5 3.954 * [taylor]: Taking taylor expansion of N in N 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 1 into 1 3.954 * [taylor]: Taking taylor expansion of 1.0 in N 3.954 * [backup-simplify]: Simplify 1.0 into 1.0 3.955 * [backup-simplify]: Simplify (* 0.5 0) into 0 3.955 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.955 * [backup-simplify]: Simplify 1.0 into 1.0 3.956 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 3.956 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.956 * [backup-simplify]: Simplify 0.5 into 0.5 3.957 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 3.957 * [backup-simplify]: Simplify (+ 0 0) into 0 3.957 * [backup-simplify]: Simplify 0 into 0 3.957 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.958 * [backup-simplify]: Simplify (+ 0 0) into 0 3.958 * [backup-simplify]: Simplify 0 into 0 3.958 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.959 * [backup-simplify]: Simplify (+ 0 0) into 0 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.960 * [backup-simplify]: Simplify (+ 0 0) into 0 3.960 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.961 * [backup-simplify]: Simplify (+ 0 0) into 0 3.961 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.962 * [backup-simplify]: Simplify (+ 0 0) into 0 3.962 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (- N))) 1.0) into (- 1.0 (* 0.5 (/ 1 N))) 3.962 * * * [progress]: simplifying candidates 3.965 * [simplify]: Simplifying: (* (exp (/ 0.3333333333333333 (pow N 3))) (exp (/ (- 1.0 (/ 0.5 N)) N))) (log (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (* (* (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (+ (* 0.3333333333333333 N) (* (pow N 3) (- 1.0 (/ 0.5 N)))) (* (pow N 3) N) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ (- 1.0 (/ 0.5 N)) N) 3)) (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (- (* (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N)) (* (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)))) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N))) (- (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (log (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (* (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 0.3333333333333333) (cbrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N (/ 3 2))) (/ (cbrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 0.3333333333333333) (cbrt (pow N 3))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 1 1) (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 0.3333333333333333 1) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (- (log (- 1.0 (/ 0.5 N))) (log N)) (log (/ (- 1.0 (/ 0.5 N)) N)) (exp (/ (- 1.0 (/ 0.5 N)) N)) (/ (* (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N))) (- 1.0 (/ 0.5 N))) (* (* N N) N)) (* (cbrt (/ (- 1.0 (/ 0.5 N)) N)) (cbrt (/ (- 1.0 (/ 0.5 N)) N))) (cbrt (/ (- 1.0 (/ 0.5 N)) N)) (* (* (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N)) (/ (- 1.0 (/ 0.5 N)) N)) (sqrt (/ (- 1.0 (/ 0.5 N)) N)) (sqrt (/ (- 1.0 (/ 0.5 N)) N)) (- (- 1.0 (/ 0.5 N))) (- N) (/ 1.0 N) (/ (/ 0.5 N) N) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (* (cbrt N) (cbrt N))) (/ (cbrt (- 1.0 (/ 0.5 N))) (cbrt N)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (sqrt N)) (/ (cbrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) 1) (/ (cbrt (- 1.0 (/ 0.5 N))) N) (/ (sqrt (- 1.0 (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (- 1.0 (/ 0.5 N))) (cbrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) 1) (/ (sqrt (- 1.0 (/ 0.5 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ 1 1) (/ (- 1.0 (/ 0.5 N)) N) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) (cbrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) 1) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) N) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (* (cbrt N) (cbrt N))) (/ (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (cbrt N)) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (sqrt N)) (/ (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (sqrt N)) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 1) (/ (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ 1 1) (/ (- 1.0 (/ 0.5 N)) N) (/ 1 N) (/ N (- 1.0 (/ 0.5 N))) (/ (- 1.0 (/ 0.5 N)) (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ (- 1.0 (/ 0.5 N)) 1) (/ N (cbrt (- 1.0 (/ 0.5 N)))) (/ N (sqrt (- 1.0 (/ 0.5 N)))) (/ N (- 1.0 (/ 0.5 N))) (/ N (- (sqrt 1.0) (sqrt (/ 0.5 N)))) (/ N (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N)))) (/ N (- 1.0 (/ 0.5 N))) (* N (+ (* 1.0 1.0) (+ (* (/ 0.5 N) (/ 0.5 N)) (* 1.0 (/ 0.5 N))))) (* N (+ 1.0 (/ 0.5 N))) (/ (exp 1.0) (exp (/ 0.5 N))) (log (- 1.0 (/ 0.5 N))) (exp (- 1.0 (/ 0.5 N))) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (- 1.0 (/ 0.5 N))) (* (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N))) (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (+ (* 1.0 1.0) (+ (* (/ 0.5 N) (/ 0.5 N)) (* 1.0 (/ 0.5 N)))) (- (/ 0.5 N)) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))) (+ 1.0 (/ 0.5 N)) (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (- (sqrt 1.0) (sqrt (/ 0.5 N))) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- 1.0 (/ 0.5 N)) (- (/ 0.5 N)) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- 1.0 (* 0.5 (/ 1 N))) (- 1.0 (* 0.5 (/ 1 N))) (- 1.0 (* 0.5 (/ 1 N))) 3.968 * * [simplify]: Extracting # 0 : cost 0 3.968 * * [simplify]: Extracting # 1 : cost 0 3.968 * * [simplify]: Extracting # 2 : cost 0 3.968 * * [simplify]: Extracting # 3 : cost 0 3.969 * * [simplify]: Extracting # 4 : cost 0 3.969 * * [simplify]: Extracting # 5 : cost 0 3.969 * * [simplify]: Extracting # 6 : cost 0 3.970 * * [simplify]: iteration 0 : 214 enodes (cost 1894 ) 4.084 * * [simplify]: Extracting # 0 : cost 0 4.085 * * [simplify]: Extracting # 1 : cost 0 4.087 * * [simplify]: Extracting # 2 : cost 0 4.088 * * [simplify]: Extracting # 3 : cost 0 4.089 * * [simplify]: Extracting # 4 : cost 0 4.090 * * [simplify]: iteration 1 : 469 enodes (cost 1689 ) 4.388 * * [simplify]: Extracting # 0 : cost 0 4.390 * * [simplify]: Extracting # 1 : cost 0 4.392 * * [simplify]: Extracting # 2 : cost 0 4.393 * * [simplify]: Extracting # 3 : cost 0 4.395 * * [simplify]: iteration 2 : 1288 enodes (cost 1578 ) 5.029 * * [simplify]: Extracting # 0 : cost 0 5.040 * * [simplify]: Extracting # 1 : cost 0 5.052 * * [simplify]: Extracting # 2 : cost 0 5.059 * * [simplify]: Extracting # 3 : cost 0 5.065 * * [simplify]: Extracting # 4 : cost 0 5.072 * * [simplify]: iteration done: 5001 enodes (cost 1578 ) 5.073 * [simplify]: Simplified to: (exp (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (log (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (pow (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) 3) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (+ (* 0.3333333333333333 N) (* (pow N 3) (- 1.0 (/ 0.5 N)))) (pow N 4) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ (- 1.0 (/ 0.5 N)) N) 3)) (+ (* (/ (- 1.0 (/ 0.5 N)) N) (- (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6))) (- (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6)) (* (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N))) (- (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (* (cbrt 0.3333333333333333) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (cbrt 0.3333333333333333) (/ (pow N 3/2) (cbrt 0.3333333333333333))) (/ (cbrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (log (/ (- 1.0 (/ 0.5 N)) N)) (log (/ (- 1.0 (/ 0.5 N)) N)) (exp (/ (- 1.0 (/ 0.5 N)) N)) (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (* (cbrt (/ (- 1.0 (/ 0.5 N)) N)) (cbrt (/ (- 1.0 (/ 0.5 N)) N))) (cbrt (/ (- 1.0 (/ 0.5 N)) N)) (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (sqrt (/ (- 1.0 (/ 0.5 N)) N)) (sqrt (/ (- 1.0 (/ 0.5 N)) N)) (- (- 1.0 (/ 0.5 N))) (- N) (/ 1.0 N) (/ (/ 0.5 N) N) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (* (cbrt N) (cbrt N))) (/ (cbrt (- 1.0 (/ 0.5 N))) (cbrt N)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (sqrt N)) (/ (cbrt (- 1.0 (/ 0.5 N))) (sqrt N)) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (/ (cbrt (- 1.0 (/ 0.5 N))) N) (/ (sqrt (- 1.0 (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (- 1.0 (/ 0.5 N))) (cbrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (sqrt (- 1.0 (/ 0.5 N))) (/ (sqrt (- 1.0 (/ 0.5 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) 1 (/ (- 1.0 (/ 0.5 N)) N) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) (cbrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) N) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (* (cbrt N) (cbrt N))) (/ (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (cbrt N)) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (sqrt N)) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (/ (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) 1 (/ (- 1.0 (/ 0.5 N)) N) (/ 1 N) (/ N (- 1.0 (/ 0.5 N))) (/ (- 1.0 (/ 0.5 N)) (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (- 1.0 (/ 0.5 N)) (/ N (cbrt (- 1.0 (/ 0.5 N)))) (/ N (sqrt (- 1.0 (/ 0.5 N)))) (/ N (- 1.0 (/ 0.5 N))) (/ N (- (sqrt 1.0) (sqrt (/ 0.5 N)))) (/ N (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N)))) (/ N (- 1.0 (/ 0.5 N))) (* N (+ (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))) (* 1.0 1.0))) (* N (+ 1.0 (/ 0.5 N))) (exp (- 1.0 (/ 0.5 N))) (log (- 1.0 (/ 0.5 N))) (exp (- 1.0 (/ 0.5 N))) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (- 1.0 (/ 0.5 N))) (pow (- 1.0 (/ 0.5 N)) 3) (sqrt (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (+ (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))) (* 1.0 1.0)) (/ (- 0.5) N) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))) (+ 1.0 (/ 0.5 N)) (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (- (sqrt 1.0) (sqrt (/ 0.5 N))) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- 1.0 (/ 0.5 N)) (/ (- 0.5) N) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) 5.074 * * * [progress]: adding candidates to table 5.534 * * [progress]: iteration 3 / 4 5.534 * * * [progress]: picking best candidate 5.543 * * * * [pick]: Picked # 5.543 * * * [progress]: localizing error 5.569 * * * [progress]: generating rewritten candidates 5.569 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 6.250 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 6.261 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 6.273 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 6.369 * * * [progress]: generating series expansions 6.369 * * * * [progress]: [ 1 / 4 ] generating series at (2) 6.370 * [backup-simplify]: Simplify (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N)) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.370 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 6.370 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 6.370 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 6.370 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 6.370 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.370 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.370 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.370 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.370 * [taylor]: Taking taylor expansion of N in N 6.370 * [backup-simplify]: Simplify 0 into 0 6.370 * [backup-simplify]: Simplify 1 into 1 6.371 * [backup-simplify]: Simplify (* 1 1) into 1 6.371 * [backup-simplify]: Simplify (* 1 1) into 1 6.372 * [backup-simplify]: Simplify (/ 1 1) into 1 6.372 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 6.372 * [taylor]: Taking taylor expansion of 1.0 in N 6.372 * [backup-simplify]: Simplify 1.0 into 1.0 6.372 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.372 * [taylor]: Taking taylor expansion of N in N 6.372 * [backup-simplify]: Simplify 0 into 0 6.372 * [backup-simplify]: Simplify 1 into 1 6.372 * [backup-simplify]: Simplify (/ 1 1) into 1 6.372 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 6.372 * [taylor]: Taking taylor expansion of 0.5 in N 6.372 * [backup-simplify]: Simplify 0.5 into 0.5 6.372 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.372 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.373 * [taylor]: Taking taylor expansion of N in N 6.373 * [backup-simplify]: Simplify 0 into 0 6.373 * [backup-simplify]: Simplify 1 into 1 6.373 * [backup-simplify]: Simplify (* 1 1) into 1 6.373 * [backup-simplify]: Simplify (/ 1 1) into 1 6.373 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 6.373 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 6.373 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 6.374 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.374 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.374 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.374 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.374 * [taylor]: Taking taylor expansion of N in N 6.374 * [backup-simplify]: Simplify 0 into 0 6.374 * [backup-simplify]: Simplify 1 into 1 6.374 * [backup-simplify]: Simplify (* 1 1) into 1 6.374 * [backup-simplify]: Simplify (* 1 1) into 1 6.375 * [backup-simplify]: Simplify (/ 1 1) into 1 6.375 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 6.375 * [taylor]: Taking taylor expansion of 1.0 in N 6.375 * [backup-simplify]: Simplify 1.0 into 1.0 6.375 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.375 * [taylor]: Taking taylor expansion of N in N 6.375 * [backup-simplify]: Simplify 0 into 0 6.375 * [backup-simplify]: Simplify 1 into 1 6.375 * [backup-simplify]: Simplify (/ 1 1) into 1 6.376 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 6.376 * [taylor]: Taking taylor expansion of 0.5 in N 6.376 * [backup-simplify]: Simplify 0.5 into 0.5 6.376 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.376 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.376 * [taylor]: Taking taylor expansion of N in N 6.376 * [backup-simplify]: Simplify 0 into 0 6.376 * [backup-simplify]: Simplify 1 into 1 6.376 * [backup-simplify]: Simplify (* 1 1) into 1 6.376 * [backup-simplify]: Simplify (/ 1 1) into 1 6.377 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.377 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.378 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.378 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.381 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 6.381 * [backup-simplify]: Simplify (+ 0 0) into 0 6.382 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.382 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.383 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.383 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.387 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.387 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 6.388 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.390 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.390 * [backup-simplify]: Simplify (- 0) into 0 6.391 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.391 * [backup-simplify]: Simplify 1.0 into 1.0 6.392 * [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)))) 6.393 * [backup-simplify]: Simplify (- (+ (/ 0.3333333333333333 (pow (/ 1 N) 3)) (/ 1.0 (/ 1 N))) (/ (/ 0.5 (/ 1 N)) (/ 1 N))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 6.393 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 6.393 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 6.393 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 6.393 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.393 * [taylor]: Taking taylor expansion of 1.0 in N 6.393 * [backup-simplify]: Simplify 1.0 into 1.0 6.393 * [taylor]: Taking taylor expansion of N in N 6.393 * [backup-simplify]: Simplify 0 into 0 6.393 * [backup-simplify]: Simplify 1 into 1 6.393 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.393 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.393 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.393 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.393 * [taylor]: Taking taylor expansion of N in N 6.393 * [backup-simplify]: Simplify 0 into 0 6.393 * [backup-simplify]: Simplify 1 into 1 6.393 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.393 * [taylor]: Taking taylor expansion of 0.5 in N 6.393 * [backup-simplify]: Simplify 0.5 into 0.5 6.393 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.393 * [taylor]: Taking taylor expansion of N in N 6.393 * [backup-simplify]: Simplify 0 into 0 6.393 * [backup-simplify]: Simplify 1 into 1 6.393 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 6.393 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 6.393 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.393 * [taylor]: Taking taylor expansion of 1.0 in N 6.393 * [backup-simplify]: Simplify 1.0 into 1.0 6.394 * [taylor]: Taking taylor expansion of N in N 6.394 * [backup-simplify]: Simplify 0 into 0 6.394 * [backup-simplify]: Simplify 1 into 1 6.394 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.394 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.394 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.394 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.394 * [taylor]: Taking taylor expansion of N in N 6.394 * [backup-simplify]: Simplify 0 into 0 6.394 * [backup-simplify]: Simplify 1 into 1 6.394 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.394 * [taylor]: Taking taylor expansion of 0.5 in N 6.394 * [backup-simplify]: Simplify 0.5 into 0.5 6.394 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.394 * [taylor]: Taking taylor expansion of N in N 6.394 * [backup-simplify]: Simplify 0 into 0 6.394 * [backup-simplify]: Simplify 1 into 1 6.395 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.395 * [backup-simplify]: Simplify (+ 0 0) into 0 6.395 * [backup-simplify]: Simplify (+ 0 0) into 0 6.395 * [backup-simplify]: Simplify 0 into 0 6.396 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 6.397 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.397 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.397 * [backup-simplify]: Simplify 1.0 into 1.0 6.397 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 6.398 * [backup-simplify]: Simplify (+ 0 0) into 0 6.398 * [backup-simplify]: Simplify (* 1 1) into 1 6.398 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.398 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.399 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.399 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.400 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.400 * [backup-simplify]: Simplify (* 1 1) into 1 6.400 * [backup-simplify]: Simplify (* 1 1) into 1 6.401 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.401 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 6.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.405 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.405 * [backup-simplify]: Simplify (- 0) into 0 6.405 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.405 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.406 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.406 * [backup-simplify]: Simplify (- (+ (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (/ 1.0 (/ 1 (- N)))) (/ (/ 0.5 (/ 1 (- N))) (/ 1 (- N)))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 6.406 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 6.406 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 6.406 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 6.406 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.406 * [taylor]: Taking taylor expansion of 0.5 in N 6.406 * [backup-simplify]: Simplify 0.5 into 0.5 6.406 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.406 * [taylor]: Taking taylor expansion of N in N 6.406 * [backup-simplify]: Simplify 0 into 0 6.406 * [backup-simplify]: Simplify 1 into 1 6.406 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 6.406 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.406 * [taylor]: Taking taylor expansion of 1.0 in N 6.406 * [backup-simplify]: Simplify 1.0 into 1.0 6.406 * [taylor]: Taking taylor expansion of N in N 6.406 * [backup-simplify]: Simplify 0 into 0 6.407 * [backup-simplify]: Simplify 1 into 1 6.407 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.407 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.407 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.407 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.407 * [taylor]: Taking taylor expansion of N in N 6.407 * [backup-simplify]: Simplify 0 into 0 6.407 * [backup-simplify]: Simplify 1 into 1 6.407 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 6.407 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 6.407 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.407 * [taylor]: Taking taylor expansion of 0.5 in N 6.407 * [backup-simplify]: Simplify 0.5 into 0.5 6.407 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.407 * [taylor]: Taking taylor expansion of N in N 6.407 * [backup-simplify]: Simplify 0 into 0 6.407 * [backup-simplify]: Simplify 1 into 1 6.407 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 6.407 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.407 * [taylor]: Taking taylor expansion of 1.0 in N 6.407 * [backup-simplify]: Simplify 1.0 into 1.0 6.407 * [taylor]: Taking taylor expansion of N in N 6.407 * [backup-simplify]: Simplify 0 into 0 6.407 * [backup-simplify]: Simplify 1 into 1 6.407 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.407 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.407 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.407 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.407 * [taylor]: Taking taylor expansion of N in N 6.407 * [backup-simplify]: Simplify 0 into 0 6.407 * [backup-simplify]: Simplify 1 into 1 6.407 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.408 * [backup-simplify]: Simplify (+ 0 0) into 0 6.408 * [backup-simplify]: Simplify (+ 0 0) into 0 6.408 * [backup-simplify]: Simplify (- 0) into 0 6.408 * [backup-simplify]: Simplify 0 into 0 6.409 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 6.409 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.409 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.410 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.410 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.410 * [backup-simplify]: Simplify (* 1 1) into 1 6.410 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.411 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 6.411 * [backup-simplify]: Simplify (+ 0 0) into 0 6.412 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 6.412 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.412 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.413 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.413 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.414 * [backup-simplify]: Simplify (* 1 1) into 1 6.414 * [backup-simplify]: Simplify (* 1 1) into 1 6.414 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.414 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 6.415 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 6.415 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 6.415 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 6.416 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.416 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 6.416 * [backup-simplify]: Simplify (/ (/ 0.5 N) N) into (/ 0.5 (pow N 2)) 6.416 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 6.416 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 6.416 * [taylor]: Taking taylor expansion of 0.5 in N 6.416 * [backup-simplify]: Simplify 0.5 into 0.5 6.416 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.417 * [taylor]: Taking taylor expansion of N in N 6.417 * [backup-simplify]: Simplify 0 into 0 6.417 * [backup-simplify]: Simplify 1 into 1 6.417 * [backup-simplify]: Simplify (* 1 1) into 1 6.417 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 6.417 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 6.417 * [taylor]: Taking taylor expansion of 0.5 in N 6.417 * [backup-simplify]: Simplify 0.5 into 0.5 6.417 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.417 * [taylor]: Taking taylor expansion of N in N 6.417 * [backup-simplify]: Simplify 0 into 0 6.417 * [backup-simplify]: Simplify 1 into 1 6.417 * [backup-simplify]: Simplify (* 1 1) into 1 6.418 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 6.418 * [backup-simplify]: Simplify 0.5 into 0.5 6.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 6.419 * [backup-simplify]: Simplify 0 into 0 6.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.420 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.423 * [backup-simplify]: Simplify 0 into 0 6.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.425 * [backup-simplify]: Simplify 0 into 0 6.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.428 * [backup-simplify]: Simplify 0 into 0 6.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.430 * [backup-simplify]: Simplify 0 into 0 6.430 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 6.431 * [backup-simplify]: Simplify (/ (/ 0.5 (/ 1 N)) (/ 1 N)) into (* 0.5 (pow N 2)) 6.431 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 6.431 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.431 * [taylor]: Taking taylor expansion of 0.5 in N 6.431 * [backup-simplify]: Simplify 0.5 into 0.5 6.431 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.431 * [taylor]: Taking taylor expansion of N in N 6.431 * [backup-simplify]: Simplify 0 into 0 6.431 * [backup-simplify]: Simplify 1 into 1 6.431 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.431 * [taylor]: Taking taylor expansion of 0.5 in N 6.431 * [backup-simplify]: Simplify 0.5 into 0.5 6.431 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.431 * [taylor]: Taking taylor expansion of N in N 6.431 * [backup-simplify]: Simplify 0 into 0 6.431 * [backup-simplify]: Simplify 1 into 1 6.432 * [backup-simplify]: Simplify (* 1 1) into 1 6.432 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.432 * [backup-simplify]: Simplify 0.5 into 0.5 6.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.433 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.433 * [backup-simplify]: Simplify 0 into 0 6.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.435 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.435 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.437 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.438 * [backup-simplify]: Simplify 0 into 0 6.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.440 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.440 * [backup-simplify]: Simplify 0 into 0 6.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.443 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.443 * [backup-simplify]: Simplify 0 into 0 6.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.447 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.447 * [backup-simplify]: Simplify 0 into 0 6.447 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 6.447 * [backup-simplify]: Simplify (/ (/ 0.5 (/ 1 (- N))) (/ 1 (- N))) into (* 0.5 (pow N 2)) 6.447 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 6.447 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.447 * [taylor]: Taking taylor expansion of 0.5 in N 6.447 * [backup-simplify]: Simplify 0.5 into 0.5 6.447 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.447 * [taylor]: Taking taylor expansion of N in N 6.447 * [backup-simplify]: Simplify 0 into 0 6.448 * [backup-simplify]: Simplify 1 into 1 6.448 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.448 * [taylor]: Taking taylor expansion of 0.5 in N 6.448 * [backup-simplify]: Simplify 0.5 into 0.5 6.448 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.448 * [taylor]: Taking taylor expansion of N in N 6.448 * [backup-simplify]: Simplify 0 into 0 6.448 * [backup-simplify]: Simplify 1 into 1 6.448 * [backup-simplify]: Simplify (* 1 1) into 1 6.449 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.449 * [backup-simplify]: Simplify 0.5 into 0.5 6.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.450 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.450 * [backup-simplify]: Simplify 0 into 0 6.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.452 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.452 * [backup-simplify]: Simplify 0 into 0 6.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.454 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.454 * [backup-simplify]: Simplify 0 into 0 6.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.457 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.457 * [backup-simplify]: Simplify 0 into 0 6.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.460 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.460 * [backup-simplify]: Simplify 0 into 0 6.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.463 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.463 * [backup-simplify]: Simplify 0 into 0 6.463 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 6.463 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 6.464 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 6.464 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 6.464 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 6.464 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.464 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.464 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.464 * [taylor]: Taking taylor expansion of N in N 6.464 * [backup-simplify]: Simplify 0 into 0 6.464 * [backup-simplify]: Simplify 1 into 1 6.464 * [backup-simplify]: Simplify (* 1 1) into 1 6.465 * [backup-simplify]: Simplify (* 1 1) into 1 6.465 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 6.465 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 6.465 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.465 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.465 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.465 * [taylor]: Taking taylor expansion of N in N 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 1 into 1 6.466 * [backup-simplify]: Simplify (* 1 1) into 1 6.466 * [backup-simplify]: Simplify (* 1 1) into 1 6.467 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 6.467 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 6.469 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.472 * [backup-simplify]: Simplify 0 into 0 6.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.476 * [backup-simplify]: Simplify 0 into 0 6.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.480 * [backup-simplify]: Simplify 0 into 0 6.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.483 * [backup-simplify]: Simplify 0 into 0 6.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.488 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 6.488 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 6.488 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.488 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.488 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.488 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.488 * [taylor]: Taking taylor expansion of N in N 6.489 * [backup-simplify]: Simplify 0 into 0 6.489 * [backup-simplify]: Simplify 1 into 1 6.489 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.489 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.489 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.489 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.489 * [taylor]: Taking taylor expansion of N in N 6.489 * [backup-simplify]: Simplify 0 into 0 6.489 * [backup-simplify]: Simplify 1 into 1 6.489 * [backup-simplify]: Simplify (* 1 1) into 1 6.490 * [backup-simplify]: Simplify (* 1 1) into 1 6.490 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.490 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.492 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 6.492 * [backup-simplify]: Simplify 0 into 0 6.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.496 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.496 * [backup-simplify]: Simplify 0 into 0 6.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.500 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.500 * [backup-simplify]: Simplify 0 into 0 6.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.503 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.504 * [backup-simplify]: Simplify 0 into 0 6.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.506 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.506 * [backup-simplify]: Simplify 0 into 0 6.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.508 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.509 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.509 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 6.509 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 6.509 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 6.509 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 6.509 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.509 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.509 * [taylor]: Taking taylor expansion of N in N 6.509 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify 1 into 1 6.509 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 6.509 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 6.509 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.509 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.509 * [taylor]: Taking taylor expansion of N in N 6.509 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify 1 into 1 6.509 * [backup-simplify]: Simplify (* 1 1) into 1 6.510 * [backup-simplify]: Simplify (* 1 1) into 1 6.510 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 6.510 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.511 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 6.511 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.513 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.513 * [backup-simplify]: Simplify 0 into 0 6.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.515 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.515 * [backup-simplify]: Simplify 0 into 0 6.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.517 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.517 * [backup-simplify]: Simplify 0 into 0 6.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.520 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.520 * [backup-simplify]: Simplify 0 into 0 6.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.522 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.522 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.523 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 6.523 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) into (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) 6.523 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in (N) around 0 6.523 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 6.523 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 6.523 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.523 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.523 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.523 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.523 * [taylor]: Taking taylor expansion of N in N 6.523 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify 1 into 1 6.523 * [backup-simplify]: Simplify (* 1 1) into 1 6.523 * [backup-simplify]: Simplify (* 1 1) into 1 6.524 * [backup-simplify]: Simplify (/ 1 1) into 1 6.524 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 6.524 * [taylor]: Taking taylor expansion of 1.0 in N 6.524 * [backup-simplify]: Simplify 1.0 into 1.0 6.524 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.524 * [taylor]: Taking taylor expansion of N in N 6.524 * [backup-simplify]: Simplify 0 into 0 6.524 * [backup-simplify]: Simplify 1 into 1 6.524 * [backup-simplify]: Simplify (/ 1 1) into 1 6.524 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 6.524 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 6.524 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.524 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.524 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.524 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.524 * [taylor]: Taking taylor expansion of N in N 6.524 * [backup-simplify]: Simplify 0 into 0 6.524 * [backup-simplify]: Simplify 1 into 1 6.524 * [backup-simplify]: Simplify (* 1 1) into 1 6.525 * [backup-simplify]: Simplify (* 1 1) into 1 6.525 * [backup-simplify]: Simplify (/ 1 1) into 1 6.525 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 6.525 * [taylor]: Taking taylor expansion of 1.0 in N 6.525 * [backup-simplify]: Simplify 1.0 into 1.0 6.525 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.525 * [taylor]: Taking taylor expansion of N in N 6.525 * [backup-simplify]: Simplify 0 into 0 6.525 * [backup-simplify]: Simplify 1 into 1 6.525 * [backup-simplify]: Simplify (/ 1 1) into 1 6.526 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.526 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.526 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.528 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 6.528 * [backup-simplify]: Simplify (+ 0 0) into 0 6.528 * [backup-simplify]: Simplify 0 into 0 6.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.532 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.532 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 6.533 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.533 * [backup-simplify]: Simplify 1.0 into 1.0 6.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.535 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.536 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 6.536 * [backup-simplify]: Simplify (+ 0 0) into 0 6.536 * [backup-simplify]: Simplify 0 into 0 6.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.539 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.540 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 6.540 * [backup-simplify]: Simplify (+ 0 0) into 0 6.540 * [backup-simplify]: Simplify 0 into 0 6.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.543 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.545 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.545 * [backup-simplify]: Simplify (+ 0 0) into 0 6.545 * [backup-simplify]: Simplify 0 into 0 6.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.551 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.553 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.553 * [backup-simplify]: Simplify (+ 0 0) into 0 6.553 * [backup-simplify]: Simplify 0 into 0 6.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.559 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.562 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.562 * [backup-simplify]: Simplify (+ 0 0) into 0 6.562 * [backup-simplify]: Simplify 0 into 0 6.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 6.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 6.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.567 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 6.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.568 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.568 * [backup-simplify]: Simplify (+ 0 0) into 0 6.569 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (pow (/ 1 N) 3))) into (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) 6.569 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 N) 3)) (/ 1.0 (/ 1 N))) into (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) 6.569 * [approximate]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in (N) around 0 6.569 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 6.569 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.569 * [taylor]: Taking taylor expansion of 1.0 in N 6.569 * [backup-simplify]: Simplify 1.0 into 1.0 6.569 * [taylor]: Taking taylor expansion of N in N 6.569 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify 1 into 1 6.569 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.569 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.569 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.569 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.569 * [taylor]: Taking taylor expansion of N in N 6.569 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify 1 into 1 6.569 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 6.569 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.569 * [taylor]: Taking taylor expansion of 1.0 in N 6.569 * [backup-simplify]: Simplify 1.0 into 1.0 6.569 * [taylor]: Taking taylor expansion of N in N 6.569 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify 1 into 1 6.569 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.569 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.569 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.570 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.570 * [taylor]: Taking taylor expansion of N in N 6.570 * [backup-simplify]: Simplify 0 into 0 6.570 * [backup-simplify]: Simplify 1 into 1 6.570 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.570 * [backup-simplify]: Simplify (+ 0 0) into 0 6.570 * [backup-simplify]: Simplify 0 into 0 6.571 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 6.571 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.571 * [backup-simplify]: Simplify 1.0 into 1.0 6.572 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 6.572 * [backup-simplify]: Simplify (+ 0 0) into 0 6.572 * [backup-simplify]: Simplify 0 into 0 6.573 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.573 * [backup-simplify]: Simplify (* 1 1) into 1 6.574 * [backup-simplify]: Simplify (* 1 1) into 1 6.574 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.574 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 6.574 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.575 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.576 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 6.576 * [backup-simplify]: Simplify (+ 0 0) into 0 6.576 * [backup-simplify]: Simplify 0 into 0 6.577 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.579 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.579 * [backup-simplify]: Simplify (+ 0 0) into 0 6.579 * [backup-simplify]: Simplify 0 into 0 6.580 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.582 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.582 * [backup-simplify]: Simplify (+ 0 0) into 0 6.582 * [backup-simplify]: Simplify 0 into 0 6.583 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.585 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.585 * [backup-simplify]: Simplify (+ 0 0) into 0 6.585 * [backup-simplify]: Simplify 0 into 0 6.586 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 6.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.589 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.589 * [backup-simplify]: Simplify (+ 0 0) into 0 6.589 * [backup-simplify]: Simplify 0 into 0 6.590 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))))) into 0 6.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.593 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.593 * [backup-simplify]: Simplify (+ 0 0) into 0 6.593 * [backup-simplify]: Simplify 0 into 0 6.593 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (* 1.0 (/ 1 N))) into (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) 6.593 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (/ 1.0 (/ 1 (- N)))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 6.593 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in (N) around 0 6.593 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 6.593 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 6.593 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.593 * [taylor]: Taking taylor expansion of 1.0 in N 6.593 * [backup-simplify]: Simplify 1.0 into 1.0 6.593 * [taylor]: Taking taylor expansion of N in N 6.593 * [backup-simplify]: Simplify 0 into 0 6.594 * [backup-simplify]: Simplify 1 into 1 6.594 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.594 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.594 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.594 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.594 * [taylor]: Taking taylor expansion of N in N 6.594 * [backup-simplify]: Simplify 0 into 0 6.594 * [backup-simplify]: Simplify 1 into 1 6.594 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 6.594 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 6.594 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.594 * [taylor]: Taking taylor expansion of 1.0 in N 6.594 * [backup-simplify]: Simplify 1.0 into 1.0 6.594 * [taylor]: Taking taylor expansion of N in N 6.594 * [backup-simplify]: Simplify 0 into 0 6.594 * [backup-simplify]: Simplify 1 into 1 6.594 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.594 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.594 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.594 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.594 * [taylor]: Taking taylor expansion of N in N 6.594 * [backup-simplify]: Simplify 0 into 0 6.594 * [backup-simplify]: Simplify 1 into 1 6.594 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.594 * [backup-simplify]: Simplify (+ 0 0) into 0 6.595 * [backup-simplify]: Simplify (- 0) into 0 6.595 * [backup-simplify]: Simplify 0 into 0 6.596 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 6.596 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.596 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.596 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.597 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 6.597 * [backup-simplify]: Simplify (+ 0 0) into 0 6.597 * [backup-simplify]: Simplify (- 0) into 0 6.597 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.598 * [backup-simplify]: Simplify (* 1 1) into 1 6.598 * [backup-simplify]: Simplify (* 1 1) into 1 6.599 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.599 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 6.599 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 6.599 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 6.600 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.601 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 6.602 * [backup-simplify]: Simplify (+ 0 0) into 0 6.602 * [backup-simplify]: Simplify (- 0) into 0 6.602 * [backup-simplify]: Simplify 0 into 0 6.603 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.604 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.605 * [backup-simplify]: Simplify (+ 0 0) into 0 6.605 * [backup-simplify]: Simplify (- 0) into 0 6.605 * [backup-simplify]: Simplify 0 into 0 6.606 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.607 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.608 * [backup-simplify]: Simplify (+ 0 0) into 0 6.608 * [backup-simplify]: Simplify (- 0) into 0 6.608 * [backup-simplify]: Simplify 0 into 0 6.610 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.614 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.614 * [backup-simplify]: Simplify (+ 0 0) into 0 6.614 * [backup-simplify]: Simplify (- 0) into 0 6.615 * [backup-simplify]: Simplify 0 into 0 6.617 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 6.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.621 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.622 * [backup-simplify]: Simplify (+ 0 0) into 0 6.622 * [backup-simplify]: Simplify (- 0) into 0 6.622 * [backup-simplify]: Simplify 0 into 0 6.624 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))))) into 0 6.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.629 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.629 * [backup-simplify]: Simplify (+ 0 0) into 0 6.630 * [backup-simplify]: Simplify (- 0) into 0 6.630 * [backup-simplify]: Simplify 0 into 0 6.631 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (* (- 1.0) (/ 1 (- N)))) into (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) 6.631 * * * [progress]: simplifying candidates 6.639 * [simplify]: Simplifying: (/ (* (exp (/ 0.3333333333333333 (pow N 3))) (exp (/ 1.0 N))) (exp (/ (/ 0.5 N) N))) (/ (exp (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (exp (/ (/ 0.5 N) N))) (log (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N))) (exp (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N))) (* (cbrt (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N))) (cbrt (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) 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(/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 0.3333333333333333 1) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (* (exp (/ 0.3333333333333333 (pow N 3))) (exp (/ 1.0 N))) (log (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (* (* (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (+ (* 0.3333333333333333 N) (* (pow N 3) 1.0)) (* (pow N 3) N) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ 1.0 N) 3)) (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)))) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 1.0 N) (/ 1.0 N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) 6.643 * * [simplify]: Extracting # 0 : cost 0 6.643 * * [simplify]: Extracting # 1 : cost 0 6.644 * * [simplify]: Extracting # 2 : cost 0 6.644 * * [simplify]: Extracting # 3 : cost 0 6.645 * * [simplify]: Extracting # 4 : cost 0 6.645 * * [simplify]: Extracting # 5 : cost 0 6.646 * * [simplify]: Extracting # 6 : cost 0 6.646 * * [simplify]: iteration 0 : 297 enodes (cost 2540 ) 6.788 * * [simplify]: Extracting # 0 : cost 0 6.790 * * [simplify]: Extracting # 1 : cost 0 6.792 * * [simplify]: Extracting # 2 : cost 0 6.793 * * [simplify]: Extracting # 3 : cost 0 6.795 * * [simplify]: Extracting # 4 : cost 0 6.797 * * [simplify]: iteration 1 : 654 enodes (cost 2271 ) 7.265 * * [simplify]: Extracting # 0 : cost 0 7.268 * * [simplify]: Extracting # 1 : cost 0 7.270 * * [simplify]: Extracting # 2 : cost 0 7.272 * * [simplify]: Extracting # 3 : cost 0 7.274 * * [simplify]: Extracting # 4 : cost 0 7.277 * * [simplify]: iteration 2 : 1785 enodes (cost 2116 ) 8.105 * * [simplify]: Extracting # 0 : cost 0 8.116 * * [simplify]: Extracting # 1 : cost 0 8.129 * * [simplify]: Extracting # 2 : cost 0 8.150 * * [simplify]: Extracting # 3 : cost 0 8.162 * * [simplify]: Extracting # 4 : cost 0 8.174 * * [simplify]: iteration done: 5001 enodes (cost 2110 ) 8.177 * [simplify]: Simplified to: (exp (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N))) (exp (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N))) (log (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N))) (exp (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N))) (* (cbrt (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N))) (cbrt (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N)))) (cbrt (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N))) (pow (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N)) 3) (sqrt (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N))) (sqrt (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N))) (- (* (+ (* 0.3333333333333333 N) (* (pow N 3) 1.0)) N) (* (pow N 4) (/ 0.5 N))) (pow N 5) (- (* (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ 1.0 N) 3)) N) (* (+ (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6)) (* (/ 1.0 N) (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (/ 0.5 N))) (* (+ (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6)) (* (/ 1.0 N) (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) N) (- (* (- (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6)) (* (/ 1.0 N) (/ 1.0 N))) N) (* (- (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 N))) (* (- (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) N) (- (pow (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) 3) (pow (/ (/ 0.5 N) N) 3)) (+ (/ (/ 0.5 N) (/ (pow N 3) 0.5)) (* (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N)))) (/ (- 0.5) (pow N 2)) (- (* (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (/ (/ 0.5 N) (/ (pow N 3) 0.5))) (+ (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N)) (+ (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (sqrt (/ (/ 0.5 N) N))) (- (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (sqrt (/ (/ 0.5 N) N))) (+ (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (/ (sqrt (/ 0.5 N)) (sqrt N))) (- (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (/ (sqrt (/ 0.5 N)) (sqrt N))) (+ (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (/ (sqrt 0.5) N)) (- (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (/ (sqrt 0.5) N)) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N)) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N)) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ 0.5 (pow N 2))) (/ (- 0.5) (pow N 2)) (log (/ 0.5 (pow N 2))) (log (/ 0.5 (pow N 2))) (log (/ 0.5 (pow N 2))) (exp (/ (/ 0.5 N) N)) (pow (/ (/ 0.5 N) N) 3) (pow (/ (/ 0.5 N) N) 3) (* (cbrt (/ (/ 0.5 N) N)) (cbrt (/ (/ 0.5 N) N))) (cbrt (/ (/ 0.5 N) N)) (pow (/ (/ 0.5 N) N) 3) (sqrt (/ (/ 0.5 N) N)) (sqrt (/ (/ 0.5 N) N)) (- (/ 0.5 N)) (- N) (/ (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (/ 0.5 N)) (cbrt N)) (/ (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))) (sqrt N)) (/ (cbrt (/ 0.5 N)) (sqrt N)) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))) (/ (cbrt (/ 0.5 N)) N) (/ (sqrt (/ 0.5 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 0.5 N)) (cbrt N)) (/ (sqrt (/ 0.5 N)) (sqrt N)) (/ (sqrt (/ 0.5 N)) (sqrt N)) (sqrt (/ 0.5 N)) (/ (sqrt (/ 0.5 N)) N) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (cbrt N)) N) (/ (/ (cbrt 0.5) (cbrt N)) (cbrt N)) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (cbrt 0.5) (sqrt N)) (cbrt N)) (* (/ (cbrt 0.5) (cbrt N)) (/ (cbrt 0.5) (cbrt N))) (/ (/ (cbrt 0.5) N) (cbrt N)) (/ (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (cbrt 0.5) (sqrt N)) (cbrt N)) (/ (cbrt 0.5) (/ N (cbrt 0.5))) (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)) (/ (/ (cbrt 0.5) (sqrt N)) N) (* (/ (cbrt 0.5) (cbrt N)) (/ (cbrt 0.5) (cbrt N))) (/ (/ (cbrt 0.5) N) (cbrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)) (/ (/ (cbrt 0.5) (sqrt N)) N) (* (cbrt 0.5) (cbrt 0.5)) (/ (/ (cbrt 0.5) N) N) (/ (/ (sqrt 0.5) (cbrt N)) N) (/ (/ (sqrt 0.5) (cbrt N)) (cbrt N)) (/ (/ (sqrt 0.5) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 0.5) (sqrt N)) (cbrt N)) (/ (/ (sqrt 0.5) (cbrt N)) (cbrt N)) (/ (/ (sqrt 0.5) (cbrt N)) N) (/ (/ (sqrt 0.5) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 0.5) (sqrt N)) (cbrt N)) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) (sqrt N)) (/ (/ (sqrt 0.5) (sqrt N)) N) (/ (/ (sqrt 0.5) (cbrt N)) (cbrt N)) (/ (/ (sqrt 0.5) (cbrt N)) N) (/ (sqrt 0.5) (sqrt N)) (/ (/ (sqrt 0.5) (sqrt N)) N) (sqrt 0.5) (/ (/ (sqrt 0.5) N) N) (/ (/ 1 N) (cbrt N)) (/ (/ 0.5 (cbrt N)) (cbrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ 0.5 (cbrt N)) (sqrt N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 0.5 N) (cbrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ 0.5 (cbrt N)) (sqrt N)) (/ 1 N) (/ 0.5 N) (/ 1 (sqrt N)) (/ (/ 0.5 (sqrt N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 0.5 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 0.5 (sqrt N)) N) 1 (/ 0.5 (pow N 2)) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 0.5 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 0.5 (sqrt N)) N) 1 (/ 0.5 (pow N 2)) (/ (/ 0.5 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 0.5 (sqrt N)) (/ 1 (pow (sqrt N) 3)) 0.5 (/ 1 (pow N 2)) (/ 1 N) (/ N (/ 0.5 N)) (/ (/ 0.5 N) (* (cbrt N) (cbrt N))) (/ (/ 0.5 (sqrt N)) N) (/ 0.5 N) (/ N (cbrt (/ 0.5 N))) (/ N (sqrt (/ 0.5 N))) (/ N (/ (cbrt 0.5) (cbrt N))) (/ N (/ (cbrt 0.5) (sqrt N))) (/ N (/ (cbrt 0.5) N)) (/ N (/ (sqrt 0.5) (cbrt N))) (/ N (/ (sqrt 0.5) (sqrt N))) (/ N (/ (sqrt 0.5) N)) (/ N (/ 0.5 (cbrt N))) (/ N (/ 0.5 (sqrt N))) (/ N (/ 0.5 N)) (/ N (/ 0.5 N)) (* N N) (* N N) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N 3/2)) (/ (cbrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (pow N 2)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (exp (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (log (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (pow (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) 3) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (+ (* 0.3333333333333333 N) (* (pow N 3) 1.0)) (pow N 4) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ 1.0 N) 3)) (+ (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6)) (* (/ 1.0 N) (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (- (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6)) (* (/ 1.0 N) (/ 1.0 N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N)) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N)) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) 8.180 * * * [progress]: adding candidates to table 8.706 * * [progress]: iteration 4 / 4 8.706 * * * [progress]: picking best candidate 8.710 * * * * [pick]: Picked # 8.710 * * * [progress]: localizing error 8.716 * * * [progress]: generating rewritten candidates 8.716 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 8.723 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 8.750 * * * [progress]: generating series expansions 8.750 * * * * [progress]: [ 1 / 2 ] generating series at (2) 8.750 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 8.750 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 8.750 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 8.750 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.750 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.750 * [taylor]: Taking taylor expansion of N in N 8.750 * [backup-simplify]: Simplify 0 into 0 8.750 * [backup-simplify]: Simplify 1 into 1 8.750 * [taylor]: Taking taylor expansion of 1.0 in N 8.750 * [backup-simplify]: Simplify 1.0 into 1.0 8.750 * [taylor]: Taking taylor expansion of N in N 8.750 * [backup-simplify]: Simplify 0 into 0 8.750 * [backup-simplify]: Simplify 1 into 1 8.751 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.751 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.751 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.751 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 8.751 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.751 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.751 * [taylor]: Taking taylor expansion of N in N 8.751 * [backup-simplify]: Simplify 0 into 0 8.751 * [backup-simplify]: Simplify 1 into 1 8.751 * [taylor]: Taking taylor expansion of 1.0 in N 8.751 * [backup-simplify]: Simplify 1.0 into 1.0 8.751 * [taylor]: Taking taylor expansion of N in N 8.751 * [backup-simplify]: Simplify 0 into 0 8.751 * [backup-simplify]: Simplify 1 into 1 8.752 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.752 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.752 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.753 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 8.753 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 8.754 * [backup-simplify]: Simplify (+ 1 0) into 1 8.754 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 8.758 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 8.758 * [backup-simplify]: Simplify 1.0 into 1.0 8.758 * [backup-simplify]: Simplify (+ 0 0) into 0 8.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.769 * [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)) 8.770 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 8.772 * [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))) 8.772 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 8.772 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 8.772 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 8.772 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.772 * [taylor]: Taking taylor expansion of N in N 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify 1 into 1 8.773 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.773 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.773 * [taylor]: Taking taylor expansion of N in N 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify 1 into 1 8.773 * [backup-simplify]: Simplify (/ 1 1) into 1 8.773 * [taylor]: Taking taylor expansion of 1.0 in N 8.773 * [backup-simplify]: Simplify 1.0 into 1.0 8.774 * [backup-simplify]: Simplify (+ 1 0) into 1 8.774 * [backup-simplify]: Simplify (* 0 1) into 0 8.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.775 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.776 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 8.776 * [backup-simplify]: Simplify (log 1) into 0 8.776 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 8.776 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.776 * [taylor]: Taking taylor expansion of N in N 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify 1 into 1 8.776 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.776 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.777 * [taylor]: Taking taylor expansion of N in N 8.777 * [backup-simplify]: Simplify 0 into 0 8.777 * [backup-simplify]: Simplify 1 into 1 8.777 * [backup-simplify]: Simplify (/ 1 1) into 1 8.777 * [taylor]: Taking taylor expansion of 1.0 in N 8.777 * [backup-simplify]: Simplify 1.0 into 1.0 8.777 * [backup-simplify]: Simplify (+ 1 0) into 1 8.778 * [backup-simplify]: Simplify (* 0 1) into 0 8.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.779 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.780 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 8.780 * [backup-simplify]: Simplify (log 1) into 0 8.780 * [backup-simplify]: Simplify 0 into 0 8.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.782 * [backup-simplify]: Simplify (+ 0 0) into 0 8.785 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 8.791 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 8.791 * [backup-simplify]: Simplify 1.0 into 1.0 8.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.793 * [backup-simplify]: Simplify (+ 0 0) into 0 8.794 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 8.806 * [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 8.806 * [backup-simplify]: Simplify -0.5 into -0.5 8.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.807 * [backup-simplify]: Simplify (+ 0 0) into 0 8.809 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 8.828 * [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 8.828 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.828 * [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)))) 8.829 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 8.829 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 8.829 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 8.829 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.829 * [taylor]: Taking taylor expansion of -1 in N 8.829 * [backup-simplify]: Simplify -1 into -1 8.829 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.829 * [taylor]: Taking taylor expansion of N in N 8.829 * [backup-simplify]: Simplify 0 into 0 8.829 * [backup-simplify]: Simplify 1 into 1 8.829 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.829 * [taylor]: Taking taylor expansion of 1.0 in N 8.829 * [backup-simplify]: Simplify 1.0 into 1.0 8.829 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.829 * [taylor]: Taking taylor expansion of N in N 8.829 * [backup-simplify]: Simplify 0 into 0 8.829 * [backup-simplify]: Simplify 1 into 1 8.829 * [backup-simplify]: Simplify (/ 1 1) into 1 8.830 * [backup-simplify]: Simplify (- 1) into -1 8.830 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.831 * [backup-simplify]: Simplify (* 0 -1) into 0 8.831 * [backup-simplify]: Simplify (* -1 0) into 0 8.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.832 * [backup-simplify]: Simplify (- 0) into 0 8.833 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.833 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.834 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.834 * [backup-simplify]: Simplify (log 1) into 0 8.834 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 8.834 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.835 * [taylor]: Taking taylor expansion of -1 in N 8.835 * [backup-simplify]: Simplify -1 into -1 8.835 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.835 * [taylor]: Taking taylor expansion of N in N 8.835 * [backup-simplify]: Simplify 0 into 0 8.835 * [backup-simplify]: Simplify 1 into 1 8.835 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.835 * [taylor]: Taking taylor expansion of 1.0 in N 8.835 * [backup-simplify]: Simplify 1.0 into 1.0 8.835 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.835 * [taylor]: Taking taylor expansion of N in N 8.835 * [backup-simplify]: Simplify 0 into 0 8.835 * [backup-simplify]: Simplify 1 into 1 8.835 * [backup-simplify]: Simplify (/ 1 1) into 1 8.836 * [backup-simplify]: Simplify (- 1) into -1 8.836 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.836 * [backup-simplify]: Simplify (* 0 -1) into 0 8.837 * [backup-simplify]: Simplify (* -1 0) into 0 8.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.838 * [backup-simplify]: Simplify (- 0) into 0 8.838 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.839 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.840 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.840 * [backup-simplify]: Simplify (log 1) into 0 8.840 * [backup-simplify]: Simplify 0 into 0 8.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.841 * [backup-simplify]: Simplify (- 0) into 0 8.841 * [backup-simplify]: Simplify (+ 0 0) into 0 8.843 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 8.844 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 8.849 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 8.849 * [backup-simplify]: Simplify -1.0 into -1.0 8.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.850 * [backup-simplify]: Simplify (- 0) into 0 8.850 * [backup-simplify]: Simplify (+ 0 0) into 0 8.851 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 8.851 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 8.862 * [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 8.862 * [backup-simplify]: Simplify -0.5 into -0.5 8.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.863 * [backup-simplify]: Simplify (- 0) into 0 8.863 * [backup-simplify]: Simplify (+ 0 0) into 0 8.864 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 8.865 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 8.879 * [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 8.879 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 8.880 * [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)))) 8.880 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 8.880 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 8.880 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 8.880 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.880 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.880 * [taylor]: Taking taylor expansion of N in N 8.880 * [backup-simplify]: Simplify 0 into 0 8.880 * [backup-simplify]: Simplify 1 into 1 8.881 * [taylor]: Taking taylor expansion of 1.0 in N 8.881 * [backup-simplify]: Simplify 1.0 into 1.0 8.881 * [taylor]: Taking taylor expansion of N in N 8.881 * [backup-simplify]: Simplify 0 into 0 8.881 * [backup-simplify]: Simplify 1 into 1 8.881 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.882 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.882 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.882 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.882 * [taylor]: Taking taylor expansion of N in N 8.882 * [backup-simplify]: Simplify 0 into 0 8.882 * [backup-simplify]: Simplify 1 into 1 8.882 * [taylor]: Taking taylor expansion of 1.0 in N 8.882 * [backup-simplify]: Simplify 1.0 into 1.0 8.882 * [taylor]: Taking taylor expansion of N in N 8.882 * [backup-simplify]: Simplify 0 into 0 8.882 * [backup-simplify]: Simplify 1 into 1 8.882 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.883 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.883 * [backup-simplify]: Simplify 1.0 into 1.0 8.883 * [backup-simplify]: Simplify (+ 1 0) into 1 8.884 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 8.884 * [backup-simplify]: Simplify 1 into 1 8.885 * [backup-simplify]: Simplify (+ 0 0) into 0 8.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.886 * [backup-simplify]: Simplify 0 into 0 8.886 * [backup-simplify]: Simplify (+ 0 0) into 0 8.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.887 * [backup-simplify]: Simplify 0 into 0 8.888 * [backup-simplify]: Simplify (+ 0 0) into 0 8.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.889 * [backup-simplify]: Simplify 0 into 0 8.889 * [backup-simplify]: Simplify (+ 0 0) into 0 8.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.891 * [backup-simplify]: Simplify 0 into 0 8.891 * [backup-simplify]: Simplify (+ 0 0) into 0 8.893 * [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 8.893 * [backup-simplify]: Simplify 0 into 0 8.893 * [backup-simplify]: Simplify (+ 0 0) into 0 8.894 * [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 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 8.895 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 8.895 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 8.895 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.895 * [taylor]: Taking taylor expansion of N in N 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify 1 into 1 8.895 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.895 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.895 * [taylor]: Taking taylor expansion of N in N 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify 1 into 1 8.895 * [backup-simplify]: Simplify (/ 1 1) into 1 8.895 * [taylor]: Taking taylor expansion of 1.0 in N 8.895 * [backup-simplify]: Simplify 1.0 into 1.0 8.895 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.895 * [taylor]: Taking taylor expansion of N in N 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify 1 into 1 8.895 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.896 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.896 * [taylor]: Taking taylor expansion of N in N 8.896 * [backup-simplify]: Simplify 0 into 0 8.896 * [backup-simplify]: Simplify 1 into 1 8.896 * [backup-simplify]: Simplify (/ 1 1) into 1 8.896 * [taylor]: Taking taylor expansion of 1.0 in N 8.896 * [backup-simplify]: Simplify 1.0 into 1.0 8.897 * [backup-simplify]: Simplify (+ 1 0) into 1 8.897 * [backup-simplify]: Simplify (* 0 1) into 0 8.897 * [backup-simplify]: Simplify 0 into 0 8.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.898 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.899 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 8.899 * [backup-simplify]: Simplify 1 into 1 8.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.900 * [backup-simplify]: Simplify (+ 0 0) into 0 8.903 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 8.903 * [backup-simplify]: Simplify 1.0 into 1.0 8.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.904 * [backup-simplify]: Simplify (+ 0 0) into 0 8.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 8.906 * [backup-simplify]: Simplify 0 into 0 8.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.907 * [backup-simplify]: Simplify (+ 0 0) into 0 8.908 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 8.909 * [backup-simplify]: Simplify 0 into 0 8.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.910 * [backup-simplify]: Simplify (+ 0 0) into 0 8.911 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 8.912 * [backup-simplify]: Simplify 0 into 0 8.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.913 * [backup-simplify]: Simplify (+ 0 0) into 0 8.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 8.915 * [backup-simplify]: Simplify 0 into 0 8.916 * [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 8.916 * [backup-simplify]: Simplify (+ 0 0) into 0 8.918 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 8.919 * [backup-simplify]: Simplify 0 into 0 8.920 * [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 8.920 * [backup-simplify]: Simplify (+ 0 0) into 0 8.922 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 8.923 * [backup-simplify]: Simplify 0 into 0 8.923 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 8.923 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 8.923 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 8.923 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.923 * [taylor]: Taking taylor expansion of -1 in N 8.923 * [backup-simplify]: Simplify -1 into -1 8.923 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.923 * [taylor]: Taking taylor expansion of N in N 8.923 * [backup-simplify]: Simplify 0 into 0 8.923 * [backup-simplify]: Simplify 1 into 1 8.923 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.923 * [taylor]: Taking taylor expansion of 1.0 in N 8.923 * [backup-simplify]: Simplify 1.0 into 1.0 8.923 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.923 * [taylor]: Taking taylor expansion of N in N 8.923 * [backup-simplify]: Simplify 0 into 0 8.923 * [backup-simplify]: Simplify 1 into 1 8.924 * [backup-simplify]: Simplify (/ 1 1) into 1 8.924 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.924 * [taylor]: Taking taylor expansion of -1 in N 8.924 * [backup-simplify]: Simplify -1 into -1 8.924 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.924 * [taylor]: Taking taylor expansion of N in N 8.924 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify 1 into 1 8.924 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.924 * [taylor]: Taking taylor expansion of 1.0 in N 8.924 * [backup-simplify]: Simplify 1.0 into 1.0 8.924 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.924 * [taylor]: Taking taylor expansion of N in N 8.924 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify 1 into 1 8.925 * [backup-simplify]: Simplify (/ 1 1) into 1 8.925 * [backup-simplify]: Simplify (- 1) into -1 8.925 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.926 * [backup-simplify]: Simplify (* 0 -1) into 0 8.926 * [backup-simplify]: Simplify (* -1 0) into 0 8.926 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.928 * [backup-simplify]: Simplify (- 0) into 0 8.928 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.929 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.929 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.929 * [backup-simplify]: Simplify 1 into 1 8.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.931 * [backup-simplify]: Simplify (- 0) into 0 8.931 * [backup-simplify]: Simplify (+ 0 0) into 0 8.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 8.936 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 8.937 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.938 * [backup-simplify]: Simplify (- 0) into 0 8.938 * [backup-simplify]: Simplify (+ 0 0) into 0 8.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 8.941 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 8.941 * [backup-simplify]: Simplify 0 into 0 8.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.942 * [backup-simplify]: Simplify (- 0) into 0 8.943 * [backup-simplify]: Simplify (+ 0 0) into 0 8.944 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 8.946 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 8.946 * [backup-simplify]: Simplify 0 into 0 8.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.947 * [backup-simplify]: Simplify (- 0) into 0 8.948 * [backup-simplify]: Simplify (+ 0 0) into 0 8.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 8.951 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 8.951 * [backup-simplify]: Simplify 0 into 0 8.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.953 * [backup-simplify]: Simplify (- 0) into 0 8.953 * [backup-simplify]: Simplify (+ 0 0) into 0 8.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 8.957 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 8.957 * [backup-simplify]: Simplify 0 into 0 8.958 * [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 8.959 * [backup-simplify]: Simplify (- 0) into 0 8.959 * [backup-simplify]: Simplify (+ 0 0) into 0 8.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 8.963 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 8.963 * [backup-simplify]: Simplify 0 into 0 8.965 * [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 8.965 * [backup-simplify]: Simplify (- 0) into 0 8.965 * [backup-simplify]: Simplify (+ 0 0) into 0 8.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 8.970 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 8.970 * [backup-simplify]: Simplify 0 into 0 8.971 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 8.971 * * * [progress]: simplifying candidates 8.973 * [simplify]: Simplifying: (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))) (- (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) 8.975 * * [simplify]: Extracting # 0 : cost 0 8.975 * * [simplify]: Extracting # 1 : cost 0 8.976 * * [simplify]: Extracting # 2 : cost 0 8.976 * * [simplify]: Extracting # 3 : cost 0 8.976 * * [simplify]: Extracting # 4 : cost 0 8.976 * * [simplify]: Extracting # 5 : cost 0 8.977 * * [simplify]: Extracting # 6 : cost 0 8.977 * * [simplify]: Extracting # 7 : cost 0 8.977 * * [simplify]: Extracting # 8 : cost 0 8.978 * * [simplify]: Extracting # 9 : cost 0 8.978 * * [simplify]: Extracting # 10 : cost 0 8.978 * * [simplify]: iteration 0 : 108 enodes (cost 723 ) 9.010 * * [simplify]: Extracting # 0 : cost 0 9.010 * * [simplify]: Extracting # 1 : cost 0 9.011 * * [simplify]: Extracting # 2 : cost 0 9.011 * * [simplify]: Extracting # 3 : cost 0 9.011 * * [simplify]: Extracting # 4 : cost 0 9.011 * * [simplify]: iteration 1 : 232 enodes (cost 690 ) 9.097 * * [simplify]: Extracting # 0 : cost 0 9.097 * * [simplify]: Extracting # 1 : cost 0 9.098 * * [simplify]: Extracting # 2 : cost 0 9.099 * * [simplify]: Extracting # 3 : cost 0 9.099 * * [simplify]: Extracting # 4 : cost 0 9.100 * * [simplify]: iteration 2 : 583 enodes (cost 637 ) 9.415 * * [simplify]: Extracting # 0 : cost 0 9.419 * * [simplify]: Extracting # 1 : cost 0 9.421 * * [simplify]: Extracting # 2 : cost 0 9.425 * * [simplify]: Extracting # 3 : cost 0 9.427 * * [simplify]: Extracting # 4 : cost 0 9.430 * * [simplify]: iteration 3 : 1417 enodes (cost 624 ) 10.952 * * [simplify]: Extracting # 0 : cost 0 10.957 * * [simplify]: Extracting # 1 : cost 0 10.961 * * [simplify]: Extracting # 2 : cost 0 10.964 * * [simplify]: Extracting # 3 : cost 0 10.968 * * [simplify]: Extracting # 4 : cost 0 10.971 * * [simplify]: iteration 4 : 3874 enodes (cost 622 ) 12.565 * * [simplify]: Extracting # 0 : cost 0 12.577 * * [simplify]: Extracting # 1 : cost 0 12.587 * * [simplify]: Extracting # 2 : cost 0 12.596 * * [simplify]: iteration done: 5001 enodes (cost 622 ) 12.597 * [simplify]: Simplified to: (* 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)) (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))) (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 (log (/ (+ N 1.0) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 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) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (* N (+ (* 1.0 (- 1.0 N)) (* N N))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (/ (+ 1.0 N) N) (/ (+ 1.0 N) N) (/ (+ 1.0 N) N) 12.598 * * * [progress]: adding candidates to table 12.816 * [progress]: [Phase 3 of 3] Extracting. 12.816 * * [regime]: Finding splitpoints for: (# # #) 12.817 * * * [regime-changes]: Trying 1 branch expressions: (N) 12.817 * * * * [regimes]: Trying to branch on N from (# # #) 12.851 * * * [regime]: Found split indices: #