17.650 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.054 * * * [progress]: [2/2] Setting up program. 0.056 * [progress]: [Phase 2 of 3] Improving. 0.056 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.056 * * [simplify]: Extracting # 0 : cost 0 0.056 * * [simplify]: Extracting # 1 : cost 0 0.056 * * [simplify]: Extracting # 2 : cost 0 0.056 * * [simplify]: Extracting # 3 : cost 0 0.056 * * [simplify]: Extracting # 4 : cost 0 0.056 * * [simplify]: Extracting # 5 : cost 0 0.056 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.057 * * [simplify]: Extracting # 0 : cost 0 0.057 * * [simplify]: Extracting # 1 : cost 0 0.057 * * [simplify]: Extracting # 2 : cost 0 0.057 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.059 * * [simplify]: Extracting # 0 : cost 0 0.059 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.061 * * [simplify]: Extracting # 0 : cost 0 0.061 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.061 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.061 * * [progress]: iteration 1 / 4 0.061 * * * [progress]: picking best candidate 0.063 * * * * [pick]: Picked # 0.063 * * * [progress]: localizing error 0.071 * * * [progress]: generating rewritten candidates 0.071 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.076 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.090 * * * [progress]: generating series expansions 0.090 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.090 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.090 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.090 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.090 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.090 * [taylor]: Taking taylor expansion of N in N 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [taylor]: Taking taylor expansion of 1.0 in N 0.104 * [backup-simplify]: Simplify 1.0 into 1.0 0.104 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.105 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.105 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.105 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.105 * [taylor]: Taking taylor expansion of N in N 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [taylor]: Taking taylor expansion of 1.0 in N 0.105 * [backup-simplify]: Simplify 1.0 into 1.0 0.105 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.105 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.106 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.106 * [backup-simplify]: Simplify (+ 1 0) into 1 0.109 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.109 * [backup-simplify]: Simplify 1.0 into 1.0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [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)) 0.118 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.119 * [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)))) 0.119 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.119 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.119 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.119 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.119 * [taylor]: Taking taylor expansion of N in N 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of 1.0 in N 0.119 * [backup-simplify]: Simplify 1.0 into 1.0 0.119 * [backup-simplify]: Simplify (+ 1 0) into 1 0.120 * [backup-simplify]: Simplify (log 1) into 0 0.120 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.120 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.120 * [taylor]: Taking taylor expansion of N in N 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [taylor]: Taking taylor expansion of 1.0 in N 0.120 * [backup-simplify]: Simplify 1.0 into 1.0 0.120 * [backup-simplify]: Simplify (+ 1 0) into 1 0.121 * [backup-simplify]: Simplify (log 1) into 0 0.121 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.121 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.126 * [backup-simplify]: Simplify 1.0 into 1.0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [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 0.134 * [backup-simplify]: Simplify -0.5 into -0.5 0.135 * [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)))) 0.135 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.135 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.135 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.135 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.135 * [taylor]: Taking taylor expansion of 1.0 in N 0.135 * [backup-simplify]: Simplify 1.0 into 1.0 0.135 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.135 * [taylor]: Taking taylor expansion of N in N 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [backup-simplify]: Simplify (- 1) into -1 0.136 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.136 * [backup-simplify]: Simplify (log -1) into (log -1) 0.137 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.137 * [taylor]: Taking taylor expansion of 1.0 in N 0.137 * [backup-simplify]: Simplify 1.0 into 1.0 0.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [backup-simplify]: Simplify (- 1) into -1 0.137 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.138 * [backup-simplify]: Simplify (log -1) into (log -1) 0.138 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.139 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.144 * [backup-simplify]: Simplify -1.0 into -1.0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [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 0.152 * [backup-simplify]: Simplify -0.5 into -0.5 0.153 * [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)))) 0.153 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.153 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.153 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.153 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.153 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.153 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.153 * [taylor]: Taking taylor expansion of N in N 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [taylor]: Taking taylor expansion of 1.0 in N 0.153 * [backup-simplify]: Simplify 1.0 into 1.0 0.153 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.154 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.154 * [taylor]: Taking taylor expansion of (log N) in N 0.154 * [taylor]: Taking taylor expansion of N in N 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (log 1) into 0 0.154 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.154 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.154 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.154 * [taylor]: Taking taylor expansion of N in N 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [taylor]: Taking taylor expansion of 1.0 in N 0.154 * [backup-simplify]: Simplify 1.0 into 1.0 0.154 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.155 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.155 * [taylor]: Taking taylor expansion of (log N) in N 0.155 * [taylor]: Taking taylor expansion of N in N 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (log 1) into 0 0.155 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.155 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.156 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.156 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.156 * [backup-simplify]: Simplify (+ 1 0) into 1 0.159 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.161 * [backup-simplify]: Simplify 1.0 into 1.0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [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)) 0.170 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.171 * [backup-simplify]: Simplify (- 0) into 0 0.172 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.174 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.176 * [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))) 0.176 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.176 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.176 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.177 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [taylor]: Taking taylor expansion of 1.0 in N 0.177 * [backup-simplify]: Simplify 1.0 into 1.0 0.177 * [backup-simplify]: Simplify (+ 1 0) into 1 0.177 * [backup-simplify]: Simplify (log 1) into 0 0.177 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [backup-simplify]: Simplify (log 1) into 0 0.178 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.178 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [taylor]: Taking taylor expansion of 1.0 in N 0.178 * [backup-simplify]: Simplify 1.0 into 1.0 0.179 * [backup-simplify]: Simplify (+ 1 0) into 1 0.179 * [backup-simplify]: Simplify (log 1) into 0 0.179 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.179 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.179 * [taylor]: Taking taylor expansion of N in N 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ 1 1) into 1 0.179 * [backup-simplify]: Simplify (log 1) into 0 0.180 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.180 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.180 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.180 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.186 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.186 * [backup-simplify]: Simplify 1.0 into 1.0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [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 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.200 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.200 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [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 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [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 0.215 * [backup-simplify]: Simplify (- 0) into 0 0.215 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.215 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.215 * [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)))) 0.216 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.216 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.216 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.216 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.216 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.216 * [taylor]: Taking taylor expansion of 1.0 in N 0.216 * [backup-simplify]: Simplify 1.0 into 1.0 0.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.216 * [taylor]: Taking taylor expansion of N in N 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [backup-simplify]: Simplify (- 1) into -1 0.217 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.217 * [backup-simplify]: Simplify (log -1) into (log -1) 0.217 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.217 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.217 * [taylor]: Taking taylor expansion of -1 in N 0.217 * [backup-simplify]: Simplify -1 into -1 0.217 * [taylor]: Taking taylor expansion of N in N 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (/ -1 1) into -1 0.217 * [backup-simplify]: Simplify (log -1) into (log -1) 0.217 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.218 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.218 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.218 * [taylor]: Taking taylor expansion of 1.0 in N 0.218 * [backup-simplify]: Simplify 1.0 into 1.0 0.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.218 * [taylor]: Taking taylor expansion of N in N 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [backup-simplify]: Simplify (- 1) into -1 0.218 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.219 * [backup-simplify]: Simplify (log -1) into (log -1) 0.219 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.219 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.219 * [taylor]: Taking taylor expansion of -1 in N 0.219 * [backup-simplify]: Simplify -1 into -1 0.219 * [taylor]: Taking taylor expansion of N in N 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (/ -1 1) into -1 0.220 * [backup-simplify]: Simplify (log -1) into (log -1) 0.220 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.221 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.221 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.222 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.232 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.233 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [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 0.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.250 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [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 0.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [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 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.276 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.278 * [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)))) 0.278 * * * [progress]: simplifying candidates 0.279 * [simplify]: Simplifying: (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))) (/ (+ 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)) (- (+ (* 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)))) (- (+ (* 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)))) 0.281 * * [simplify]: Extracting # 0 : cost 0 0.281 * * [simplify]: Extracting # 1 : cost 0 0.281 * * [simplify]: Extracting # 2 : cost 0 0.282 * * [simplify]: Extracting # 3 : cost 0 0.282 * * [simplify]: Extracting # 4 : cost 0 0.282 * * [simplify]: Extracting # 5 : cost 0 0.282 * * [simplify]: Extracting # 6 : cost 0 0.283 * * [simplify]: Extracting # 7 : cost 0 0.283 * * [simplify]: iteration 0 : 101 enodes (cost 510 ) 0.308 * * [simplify]: Extracting # 0 : cost 0 0.309 * * [simplify]: Extracting # 1 : cost 0 0.309 * * [simplify]: Extracting # 2 : cost 0 0.309 * * [simplify]: Extracting # 3 : cost 0 0.310 * * [simplify]: Extracting # 4 : cost 0 0.310 * * [simplify]: iteration 1 : 213 enodes (cost 488 ) 0.365 * * [simplify]: Extracting # 0 : cost 0 0.365 * * [simplify]: Extracting # 1 : cost 0 0.366 * * [simplify]: Extracting # 2 : cost 0 0.366 * * [simplify]: Extracting # 3 : cost 0 0.367 * * [simplify]: Extracting # 4 : cost 0 0.367 * * [simplify]: iteration 2 : 462 enodes (cost 445 ) 0.528 * * [simplify]: Extracting # 0 : cost 0 0.530 * * [simplify]: Extracting # 1 : cost 0 0.532 * * [simplify]: Extracting # 2 : cost 0 0.535 * * [simplify]: Extracting # 3 : cost 0 0.537 * * [simplify]: Extracting # 4 : cost 0 0.546 * * [simplify]: iteration 3 : 1063 enodes (cost 443 ) 1.342 * * [simplify]: Extracting # 0 : cost 0 1.346 * * [simplify]: Extracting # 1 : cost 0 1.348 * * [simplify]: Extracting # 2 : cost 0 1.351 * * [simplify]: Extracting # 3 : cost 0 1.354 * * [simplify]: Extracting # 4 : cost 0 1.356 * * [simplify]: iteration 4 : 2574 enodes (cost 438 ) 3.216 * * [simplify]: Extracting # 0 : cost 0 3.222 * * [simplify]: Extracting # 1 : cost 0 3.227 * * [simplify]: Extracting # 2 : cost 0 3.232 * * [simplify]: Extracting # 3 : cost 0 3.236 * * [simplify]: Extracting # 4 : cost 0 3.241 * * [simplify]: iteration done: 5001 enodes (cost 426 ) 3.241 * [simplify]: Simplified to: (* 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 (+ (* 1.0 (- 1.0 N)) (* N 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 1.0) 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 1.0)) (log N)) (log (+ N 1.0))) (* (log N) (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) (log (+ (* 1.0 (- 1.0 N)) (* N N)))) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (log 1.0) (* N (- (/ (* 1/2 N) (* 1.0 1.0)) 1.0))) (+ (log N) (/ (- 1.0 (/ 0.5 N)) N)) (+ (log N) (/ (- 1.0 (/ 0.5 N)) N)) (+ (- (log 1.0) (log N)) (* N (- 1.0 (* 1/2 (/ N (* 1.0 1.0)))))) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) 3.242 * * * [progress]: adding candidates to table 3.401 * * [progress]: iteration 2 / 4 3.401 * * * [progress]: picking best candidate 3.407 * * * * [pick]: Picked # 3.407 * * * [progress]: localizing error 3.419 * * * [progress]: generating rewritten candidates 3.420 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.559 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.569 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.614 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 3.635 * * * [progress]: generating series expansions 3.635 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.636 * [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)))) 3.636 * [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 3.636 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 3.636 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 3.636 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.636 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.636 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.636 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.636 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.636 * [taylor]: Taking taylor expansion of N in N 3.636 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify 1 into 1 3.637 * [backup-simplify]: Simplify (* 1 1) into 1 3.637 * [backup-simplify]: Simplify (* 1 1) into 1 3.638 * [backup-simplify]: Simplify (/ 1 1) into 1 3.638 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.638 * [taylor]: Taking taylor expansion of 1.0 in N 3.638 * [backup-simplify]: Simplify 1.0 into 1.0 3.638 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.638 * [taylor]: Taking taylor expansion of N in N 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify 1 into 1 3.638 * [backup-simplify]: Simplify (/ 1 1) into 1 3.638 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.639 * [taylor]: Taking taylor expansion of 0.5 in N 3.639 * [backup-simplify]: Simplify 0.5 into 0.5 3.639 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.639 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.639 * [taylor]: Taking taylor expansion of N in N 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify 1 into 1 3.639 * [backup-simplify]: Simplify (* 1 1) into 1 3.639 * [backup-simplify]: Simplify (/ 1 1) into 1 3.639 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 3.640 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 3.640 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.640 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.640 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.640 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.640 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.640 * [taylor]: Taking taylor expansion of N in N 3.640 * [backup-simplify]: Simplify 0 into 0 3.640 * [backup-simplify]: Simplify 1 into 1 3.640 * [backup-simplify]: Simplify (* 1 1) into 1 3.640 * [backup-simplify]: Simplify (* 1 1) into 1 3.641 * [backup-simplify]: Simplify (/ 1 1) into 1 3.641 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.641 * [taylor]: Taking taylor expansion of 1.0 in N 3.641 * [backup-simplify]: Simplify 1.0 into 1.0 3.641 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.641 * [taylor]: Taking taylor expansion of N in N 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify 1 into 1 3.641 * [backup-simplify]: Simplify (/ 1 1) into 1 3.641 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.641 * [taylor]: Taking taylor expansion of 0.5 in N 3.641 * [backup-simplify]: Simplify 0.5 into 0.5 3.641 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.642 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.642 * [taylor]: Taking taylor expansion of N in N 3.642 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify 1 into 1 3.642 * [backup-simplify]: Simplify (* 1 1) into 1 3.642 * [backup-simplify]: Simplify (/ 1 1) into 1 3.643 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.643 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.644 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.644 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.646 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.647 * [backup-simplify]: Simplify (+ 0 0) into 0 3.647 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.648 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.648 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.649 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.652 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.653 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.653 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.656 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.656 * [backup-simplify]: Simplify (- 0) into 0 3.656 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.656 * [backup-simplify]: Simplify 1.0 into 1.0 3.657 * [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)))) 3.658 * [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))) 3.658 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 3.658 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 3.658 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.658 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.658 * [taylor]: Taking taylor expansion of 1.0 in N 3.658 * [backup-simplify]: Simplify 1.0 into 1.0 3.658 * [taylor]: Taking taylor expansion of N in N 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify 1 into 1 3.658 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.658 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.658 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.658 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.658 * [taylor]: Taking taylor expansion of N in N 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify 1 into 1 3.658 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.658 * [taylor]: Taking taylor expansion of 0.5 in N 3.658 * [backup-simplify]: Simplify 0.5 into 0.5 3.658 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.659 * [taylor]: Taking taylor expansion of N in N 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 1 into 1 3.659 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 3.659 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.659 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.659 * [taylor]: Taking taylor expansion of 1.0 in N 3.659 * [backup-simplify]: Simplify 1.0 into 1.0 3.659 * [taylor]: Taking taylor expansion of N in N 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 1 into 1 3.659 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.659 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.659 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.659 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.659 * [taylor]: Taking taylor expansion of N in N 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 1 into 1 3.659 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.659 * [taylor]: Taking taylor expansion of 0.5 in N 3.659 * [backup-simplify]: Simplify 0.5 into 0.5 3.659 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.659 * [taylor]: Taking taylor expansion of N in N 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 1 into 1 3.660 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.660 * [backup-simplify]: Simplify (+ 0 0) into 0 3.660 * [backup-simplify]: Simplify (+ 0 0) into 0 3.661 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.662 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.663 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.663 * [backup-simplify]: Simplify 1.0 into 1.0 3.664 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.664 * [backup-simplify]: Simplify (+ 0 0) into 0 3.665 * [backup-simplify]: Simplify (* 1 1) into 1 3.665 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.665 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.667 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.667 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.668 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.668 * [backup-simplify]: Simplify (* 1 1) into 1 3.669 * [backup-simplify]: Simplify (* 1 1) into 1 3.669 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.670 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.671 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.671 * [backup-simplify]: Simplify (- 0) into 0 3.672 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.672 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.673 * [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)))) 3.673 * [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))))) 3.673 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 3.674 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 3.674 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.674 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.674 * [taylor]: Taking taylor expansion of 0.5 in N 3.674 * [backup-simplify]: Simplify 0.5 into 0.5 3.674 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.674 * [taylor]: Taking taylor expansion of N in N 3.674 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify 1 into 1 3.674 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.674 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.674 * [taylor]: Taking taylor expansion of 1.0 in N 3.674 * [backup-simplify]: Simplify 1.0 into 1.0 3.674 * [taylor]: Taking taylor expansion of N in N 3.674 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify 1 into 1 3.674 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.674 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.674 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.674 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.674 * [taylor]: Taking taylor expansion of N in N 3.674 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify 1 into 1 3.674 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 3.674 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.674 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.674 * [taylor]: Taking taylor expansion of 0.5 in N 3.674 * [backup-simplify]: Simplify 0.5 into 0.5 3.674 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.674 * [taylor]: Taking taylor expansion of N in N 3.674 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify 1 into 1 3.674 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.674 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.675 * [taylor]: Taking taylor expansion of 1.0 in N 3.675 * [backup-simplify]: Simplify 1.0 into 1.0 3.675 * [taylor]: Taking taylor expansion of N in N 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.675 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.675 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.675 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.675 * [taylor]: Taking taylor expansion of N in N 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.676 * [backup-simplify]: Simplify (+ 0 0) into 0 3.676 * [backup-simplify]: Simplify (+ 0 0) into 0 3.676 * [backup-simplify]: Simplify (- 0) into 0 3.676 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.678 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.679 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.679 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.679 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.680 * [backup-simplify]: Simplify (* 1 1) into 1 3.680 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.681 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.681 * [backup-simplify]: Simplify (+ 0 0) into 0 3.682 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.682 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.683 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.684 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.685 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.685 * [backup-simplify]: Simplify (* 1 1) into 1 3.686 * [backup-simplify]: Simplify (* 1 1) into 1 3.686 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.687 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.687 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.687 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.688 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.689 * [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)))) 3.690 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.690 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 3.690 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 3.690 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.690 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.690 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.690 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.690 * [taylor]: Taking taylor expansion of N in N 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 1 into 1 3.690 * [backup-simplify]: Simplify (* 1 1) into 1 3.691 * [backup-simplify]: Simplify (* 1 1) into 1 3.691 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.691 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.691 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.691 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.691 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.691 * [taylor]: Taking taylor expansion of N in N 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify 1 into 1 3.692 * [backup-simplify]: Simplify (* 1 1) into 1 3.692 * [backup-simplify]: Simplify (* 1 1) into 1 3.692 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.693 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 3.695 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.696 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.698 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.700 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.702 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.704 * [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 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.704 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 3.704 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 3.705 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.705 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.705 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.705 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.705 * [taylor]: Taking taylor expansion of N in N 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 1 into 1 3.705 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.705 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.705 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.705 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.705 * [taylor]: Taking taylor expansion of N in N 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 1 into 1 3.705 * [backup-simplify]: Simplify (* 1 1) into 1 3.705 * [backup-simplify]: Simplify (* 1 1) into 1 3.706 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.706 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.707 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.707 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.708 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.709 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.710 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.710 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.712 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.715 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.715 * [backup-simplify]: Simplify 0 into 0 3.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.718 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.718 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.718 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 3.718 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 3.718 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.718 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.718 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.718 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.718 * [taylor]: Taking taylor expansion of N in N 3.718 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify 1 into 1 3.718 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.718 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.718 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.718 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.718 * [taylor]: Taking taylor expansion of N in N 3.718 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify 1 into 1 3.719 * [backup-simplify]: Simplify (* 1 1) into 1 3.719 * [backup-simplify]: Simplify (* 1 1) into 1 3.719 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 3.719 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.720 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 3.720 * [backup-simplify]: Simplify 0 into 0 3.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.722 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.722 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.725 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.725 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.729 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.730 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.734 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.734 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.738 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.738 * [backup-simplify]: Simplify 0 into 0 3.738 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.739 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.739 * [backup-simplify]: Simplify (/ (- 1.0 (/ 0.5 N)) N) into (/ (- 1.0 (* 0.5 (/ 1 N))) N) 3.739 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in (N) around 0 3.739 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 3.739 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 3.739 * [taylor]: Taking taylor expansion of 1.0 in N 3.739 * [backup-simplify]: Simplify 1.0 into 1.0 3.739 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 3.739 * [taylor]: Taking taylor expansion of 0.5 in N 3.739 * [backup-simplify]: Simplify 0.5 into 0.5 3.739 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.739 * [taylor]: Taking taylor expansion of N in N 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify 1 into 1 3.739 * [backup-simplify]: Simplify (/ 1 1) into 1 3.739 * [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 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.740 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.741 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.746 * [backup-simplify]: Simplify (/ (- 0.5) 1) into -0.5 3.746 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 3.747 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 3.747 * [taylor]: Taking taylor expansion of 1.0 in N 3.747 * [backup-simplify]: Simplify 1.0 into 1.0 3.747 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 3.747 * [taylor]: Taking taylor expansion of 0.5 in N 3.747 * [backup-simplify]: Simplify 0.5 into 0.5 3.747 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.747 * [taylor]: Taking taylor expansion of N in N 3.747 * [backup-simplify]: Simplify 0 into 0 3.747 * [backup-simplify]: Simplify 1 into 1 3.747 * [backup-simplify]: Simplify (/ 1 1) into 1 3.747 * [taylor]: Taking taylor expansion of N in N 3.747 * [backup-simplify]: Simplify 0 into 0 3.747 * [backup-simplify]: Simplify 1 into 1 3.748 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.748 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.749 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.750 * [backup-simplify]: Simplify (/ (- 0.5) 1) into -0.5 3.750 * [backup-simplify]: Simplify -0.5 into -0.5 3.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.751 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.752 * [backup-simplify]: Simplify (- 0) into 0 3.752 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.754 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -0.5 (/ 0 1)))) into 1.0 3.754 * [backup-simplify]: Simplify 1.0 into 1.0 3.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.756 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.757 * [backup-simplify]: Simplify (- 0) into 0 3.757 * [backup-simplify]: Simplify (+ 0 0) into 0 3.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.758 * [backup-simplify]: Simplify 0 into 0 3.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.760 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.761 * [backup-simplify]: Simplify (- 0) into 0 3.761 * [backup-simplify]: Simplify (+ 0 0) into 0 3.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.762 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.764 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.765 * [backup-simplify]: Simplify (- 0) into 0 3.766 * [backup-simplify]: Simplify (+ 0 0) into 0 3.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.767 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.769 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.769 * [backup-simplify]: Simplify (- 0) into 0 3.770 * [backup-simplify]: Simplify (+ 0 0) into 0 3.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.771 * [backup-simplify]: Simplify 0 into 0 3.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.774 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.774 * [backup-simplify]: Simplify (- 0) into 0 3.774 * [backup-simplify]: Simplify (+ 0 0) into 0 3.776 * [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 3.776 * [backup-simplify]: Simplify 0 into 0 3.777 * [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 3.779 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.779 * [backup-simplify]: Simplify (- 0) into 0 3.780 * [backup-simplify]: Simplify (+ 0 0) into 0 3.781 * [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 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (* -0.5 (pow (/ 1 N) 2))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.782 * [backup-simplify]: Simplify (/ (- 1.0 (/ 0.5 (/ 1 N))) (/ 1 N)) into (* N (- 1.0 (* 0.5 N))) 3.782 * [approximate]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in (N) around 0 3.782 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 3.782 * [taylor]: Taking taylor expansion of N in N 3.782 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify 1 into 1 3.782 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 3.782 * [taylor]: Taking taylor expansion of 1.0 in N 3.782 * [backup-simplify]: Simplify 1.0 into 1.0 3.782 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.782 * [taylor]: Taking taylor expansion of 0.5 in N 3.782 * [backup-simplify]: Simplify 0.5 into 0.5 3.782 * [taylor]: Taking taylor expansion of N in N 3.782 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify 1 into 1 3.782 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 3.782 * [taylor]: Taking taylor expansion of N in N 3.782 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify 1 into 1 3.782 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 3.782 * [taylor]: Taking taylor expansion of 1.0 in N 3.782 * [backup-simplify]: Simplify 1.0 into 1.0 3.782 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.782 * [taylor]: Taking taylor expansion of 0.5 in N 3.782 * [backup-simplify]: Simplify 0.5 into 0.5 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 * [backup-simplify]: Simplify (* 0.5 0) into 0 3.783 * [backup-simplify]: Simplify (- 0) into 0 3.784 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.784 * [backup-simplify]: Simplify (* 0 1.0) into 0 3.784 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 3.786 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.787 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.789 * [backup-simplify]: Simplify (+ (* 0 (- 0.5)) (* 1 1.0)) into 1.0 3.789 * [backup-simplify]: Simplify 1.0 into 1.0 3.790 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 3.791 * [backup-simplify]: Simplify (- 0) into 0 3.791 * [backup-simplify]: Simplify (+ 0 0) into 0 3.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 0.5)) (* 0 1.0))) into (- 0.5) 3.795 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.796 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.797 * [backup-simplify]: Simplify (- 0) into 0 3.797 * [backup-simplify]: Simplify (+ 0 0) into 0 3.799 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 1.0)))) into 0 3.799 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.800 * [backup-simplify]: Simplify (- 0) into 0 3.801 * [backup-simplify]: Simplify (+ 0 0) into 0 3.803 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))) into 0 3.803 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.804 * [backup-simplify]: Simplify (- 0) into 0 3.805 * [backup-simplify]: Simplify (+ 0 0) into 0 3.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))) into 0 3.807 * [backup-simplify]: Simplify 0 into 0 3.809 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.809 * [backup-simplify]: Simplify (- 0) into 0 3.809 * [backup-simplify]: Simplify (+ 0 0) into 0 3.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))))) into 0 3.811 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.814 * [backup-simplify]: Simplify (- 0) into 0 3.814 * [backup-simplify]: Simplify (+ 0 0) into 0 3.817 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))))) into 0 3.817 * [backup-simplify]: Simplify 0 into 0 3.819 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 3.820 * [backup-simplify]: Simplify (- 0) into 0 3.820 * [backup-simplify]: Simplify (+ 0 0) into 0 3.823 * [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 3.823 * [backup-simplify]: Simplify 0 into 0 3.823 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.823 * [backup-simplify]: Simplify (/ (- 1.0 (/ 0.5 (/ 1 (- N)))) (/ 1 (- N))) into (* -1 (* (+ (* 0.5 N) 1.0) N)) 3.823 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in (N) around 0 3.824 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in N 3.824 * [taylor]: Taking taylor expansion of -1 in N 3.824 * [backup-simplify]: Simplify -1 into -1 3.824 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 3.824 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 3.824 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.824 * [taylor]: Taking taylor expansion of 0.5 in N 3.824 * [backup-simplify]: Simplify 0.5 into 0.5 3.824 * [taylor]: Taking taylor expansion of N in N 3.824 * [backup-simplify]: Simplify 0 into 0 3.824 * [backup-simplify]: Simplify 1 into 1 3.824 * [taylor]: Taking taylor expansion of 1.0 in N 3.824 * [backup-simplify]: Simplify 1.0 into 1.0 3.824 * [taylor]: Taking taylor expansion of N in N 3.824 * [backup-simplify]: Simplify 0 into 0 3.824 * [backup-simplify]: Simplify 1 into 1 3.824 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in N 3.824 * [taylor]: Taking taylor expansion of -1 in N 3.824 * [backup-simplify]: Simplify -1 into -1 3.824 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 3.824 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 3.824 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.824 * [taylor]: Taking taylor expansion of 0.5 in N 3.824 * [backup-simplify]: Simplify 0.5 into 0.5 3.824 * [taylor]: Taking taylor expansion of N in N 3.824 * [backup-simplify]: Simplify 0 into 0 3.824 * [backup-simplify]: Simplify 1 into 1 3.824 * [taylor]: Taking taylor expansion of 1.0 in N 3.824 * [backup-simplify]: Simplify 1.0 into 1.0 3.824 * [taylor]: Taking taylor expansion of N in N 3.824 * [backup-simplify]: Simplify 0 into 0 3.824 * [backup-simplify]: Simplify 1 into 1 3.824 * [backup-simplify]: Simplify (* 0.5 0) into 0 3.825 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.825 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.825 * [backup-simplify]: Simplify (* -1 0) into 0 3.825 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 3.826 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.827 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0.5 0)) into 1.0 3.828 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 0)) into (- 1.0) 3.828 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.829 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 3.829 * [backup-simplify]: Simplify (+ 0 0) into 0 3.831 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 1) (* 0 0))) into 0.5 3.832 * [backup-simplify]: Simplify (+ (* -1 0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.5) 3.832 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.833 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.833 * [backup-simplify]: Simplify (+ 0 0) into 0 3.834 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 1) (* 0 0)))) into 0 3.834 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))) into 0 3.834 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.835 * [backup-simplify]: Simplify (+ 0 0) into 0 3.836 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.837 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))) into 0 3.837 * [backup-simplify]: Simplify 0 into 0 3.838 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.838 * [backup-simplify]: Simplify (+ 0 0) into 0 3.839 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.840 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))))) into 0 3.840 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.841 * [backup-simplify]: Simplify (+ 0 0) into 0 3.842 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.843 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))))) into 0 3.843 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.845 * [backup-simplify]: Simplify (+ 0 0) into 0 3.846 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.847 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))))))) into 0 3.847 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 3.848 * [backup-simplify]: Simplify (+ 0 0) into 0 3.850 * [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 3.851 * [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 3.851 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N)))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.852 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.852 * [backup-simplify]: Simplify (- 1.0 (/ 0.5 N)) into (- 1.0 (* 0.5 (/ 1 N))) 3.852 * [approximate]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in (N) around 0 3.852 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 3.852 * [taylor]: Taking taylor expansion of 1.0 in N 3.852 * [backup-simplify]: Simplify 1.0 into 1.0 3.852 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 3.852 * [taylor]: Taking taylor expansion of 0.5 in N 3.852 * [backup-simplify]: Simplify 0.5 into 0.5 3.852 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.852 * [taylor]: Taking taylor expansion of N in N 3.852 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify 1 into 1 3.852 * [backup-simplify]: Simplify (/ 1 1) into 1 3.852 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 3.852 * [taylor]: Taking taylor expansion of 1.0 in N 3.852 * [backup-simplify]: Simplify 1.0 into 1.0 3.852 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 3.852 * [taylor]: Taking taylor expansion of 0.5 in N 3.852 * [backup-simplify]: Simplify 0.5 into 0.5 3.852 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.852 * [taylor]: Taking taylor expansion of N in N 3.852 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify 1 into 1 3.853 * [backup-simplify]: Simplify (/ 1 1) into 1 3.853 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.853 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.854 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.854 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.855 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.856 * [backup-simplify]: Simplify (- 0) into 0 3.856 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.856 * [backup-simplify]: Simplify 1.0 into 1.0 3.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.857 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.857 * [backup-simplify]: Simplify (- 0) into 0 3.857 * [backup-simplify]: Simplify (+ 0 0) into 0 3.858 * [backup-simplify]: Simplify 0 into 0 3.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.859 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.859 * [backup-simplify]: Simplify (- 0) into 0 3.860 * [backup-simplify]: Simplify (+ 0 0) into 0 3.860 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.862 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.862 * [backup-simplify]: Simplify (- 0) into 0 3.862 * [backup-simplify]: Simplify (+ 0 0) into 0 3.862 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.865 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.868 * [backup-simplify]: Simplify (- 0) into 0 3.869 * [backup-simplify]: Simplify (+ 0 0) into 0 3.869 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.872 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.872 * [backup-simplify]: Simplify (- 0) into 0 3.872 * [backup-simplify]: Simplify (+ 0 0) into 0 3.872 * [backup-simplify]: Simplify 0 into 0 3.873 * [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 3.875 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.875 * [backup-simplify]: Simplify (- 0) into 0 3.875 * [backup-simplify]: Simplify (+ 0 0) into 0 3.875 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify (+ 1.0 (* (- 0.5) (/ 1 N))) into (- 1.0 (* 0.5 (/ 1 N))) 3.876 * [backup-simplify]: Simplify (- 1.0 (/ 0.5 (/ 1 N))) into (- 1.0 (* 0.5 N)) 3.876 * [approximate]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in (N) around 0 3.876 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 3.876 * [taylor]: Taking taylor expansion of 1.0 in N 3.876 * [backup-simplify]: Simplify 1.0 into 1.0 3.876 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.876 * [taylor]: Taking taylor expansion of 0.5 in N 3.876 * [backup-simplify]: Simplify 0.5 into 0.5 3.876 * [taylor]: Taking taylor expansion of N in N 3.876 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify 1 into 1 3.876 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 3.876 * [taylor]: Taking taylor expansion of 1.0 in N 3.876 * [backup-simplify]: Simplify 1.0 into 1.0 3.876 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.876 * [taylor]: Taking taylor expansion of 0.5 in N 3.876 * [backup-simplify]: Simplify 0.5 into 0.5 3.876 * [taylor]: Taking taylor expansion of N in N 3.876 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify 1 into 1 3.876 * [backup-simplify]: Simplify (* 0.5 0) into 0 3.877 * [backup-simplify]: Simplify (- 0) into 0 3.877 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.877 * [backup-simplify]: Simplify 1.0 into 1.0 3.878 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 3.878 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.879 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.879 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.879 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 3.880 * [backup-simplify]: Simplify (- 0) into 0 3.880 * [backup-simplify]: Simplify (+ 0 0) into 0 3.880 * [backup-simplify]: Simplify 0 into 0 3.880 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.881 * [backup-simplify]: Simplify (- 0) into 0 3.881 * [backup-simplify]: Simplify (+ 0 0) into 0 3.881 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.882 * [backup-simplify]: Simplify (- 0) into 0 3.882 * [backup-simplify]: Simplify (+ 0 0) into 0 3.882 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.883 * [backup-simplify]: Simplify (- 0) into 0 3.883 * [backup-simplify]: Simplify (+ 0 0) into 0 3.883 * [backup-simplify]: Simplify 0 into 0 3.884 * [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 3.885 * [backup-simplify]: Simplify (+ 0 0) into 0 3.885 * [backup-simplify]: Simplify 0 into 0 3.886 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.886 * [backup-simplify]: Simplify (- 0) into 0 3.886 * [backup-simplify]: Simplify (+ 0 0) into 0 3.886 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify (+ (* (- 0.5) (/ 1 N)) 1.0) into (- 1.0 (* 0.5 (/ 1 N))) 3.887 * [backup-simplify]: Simplify (- 1.0 (/ 0.5 (/ 1 (- N)))) into (+ (* 0.5 N) 1.0) 3.887 * [approximate]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in (N) around 0 3.887 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 3.887 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.887 * [taylor]: Taking taylor expansion of 0.5 in N 3.887 * [backup-simplify]: Simplify 0.5 into 0.5 3.887 * [taylor]: Taking taylor expansion of N in N 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.887 * [taylor]: Taking taylor expansion of 1.0 in N 3.887 * [backup-simplify]: Simplify 1.0 into 1.0 3.887 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 3.887 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.887 * [taylor]: Taking taylor expansion of 0.5 in N 3.887 * [backup-simplify]: Simplify 0.5 into 0.5 3.887 * [taylor]: Taking taylor expansion of N in N 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.887 * [taylor]: Taking taylor expansion of 1.0 in N 3.887 * [backup-simplify]: Simplify 1.0 into 1.0 3.887 * [backup-simplify]: Simplify (* 0.5 0) into 0 3.888 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.888 * [backup-simplify]: Simplify 1.0 into 1.0 3.889 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 3.889 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.889 * [backup-simplify]: Simplify 0.5 into 0.5 3.889 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 3.890 * [backup-simplify]: Simplify (+ 0 0) into 0 3.890 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.890 * [backup-simplify]: Simplify (+ 0 0) into 0 3.891 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.892 * [backup-simplify]: Simplify (+ 0 0) into 0 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.893 * [backup-simplify]: Simplify (+ 0 0) into 0 3.893 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.894 * [backup-simplify]: Simplify (+ 0 0) into 0 3.894 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.895 * [backup-simplify]: Simplify (+ 0 0) into 0 3.895 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (- N))) 1.0) into (- 1.0 (* 0.5 (/ 1 N))) 3.895 * * * [progress]: simplifying candidates 3.898 * [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))) 3.900 * * [simplify]: Extracting # 0 : cost 0 3.901 * * [simplify]: Extracting # 1 : cost 0 3.901 * * [simplify]: Extracting # 2 : cost 0 3.901 * * [simplify]: Extracting # 3 : cost 0 3.901 * * [simplify]: Extracting # 4 : cost 0 3.902 * * [simplify]: Extracting # 5 : cost 0 3.902 * * [simplify]: Extracting # 6 : cost 0 3.902 * * [simplify]: iteration 0 : 214 enodes (cost 1894 ) 3.977 * * [simplify]: Extracting # 0 : cost 0 3.978 * * [simplify]: Extracting # 1 : cost 0 3.979 * * [simplify]: Extracting # 2 : cost 0 3.979 * * [simplify]: Extracting # 3 : cost 0 3.980 * * [simplify]: Extracting # 4 : cost 0 3.980 * * [simplify]: iteration 1 : 469 enodes (cost 1689 ) 4.218 * * [simplify]: Extracting # 0 : cost 0 4.220 * * [simplify]: Extracting # 1 : cost 0 4.222 * * [simplify]: Extracting # 2 : cost 0 4.223 * * [simplify]: Extracting # 3 : cost 0 4.225 * * [simplify]: iteration 2 : 1288 enodes (cost 1578 ) 4.951 * * [simplify]: Extracting # 0 : cost 0 4.957 * * [simplify]: Extracting # 1 : cost 0 4.965 * * [simplify]: Extracting # 2 : cost 0 4.985 * * [simplify]: Extracting # 3 : cost 0 4.997 * * [simplify]: Extracting # 4 : cost 0 5.009 * * [simplify]: iteration done: 5001 enodes (cost 1578 ) 5.011 * [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)) 5.012 * * * [progress]: adding candidates to table 5.405 * * [progress]: iteration 3 / 4 5.405 * * * [progress]: picking best candidate 5.421 * * * * [pick]: Picked # 5.421 * * * [progress]: localizing error 5.444 * * * [progress]: generating rewritten candidates 5.444 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 5.768 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.776 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 5.811 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 5.881 * * * [progress]: generating series expansions 5.881 * * * * [progress]: [ 1 / 4 ] generating series at (2) 5.882 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow N 3)) (/ 1 (/ N (- 1.0 (/ 0.5 N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 5.882 * [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 5.882 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 5.882 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 5.882 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 5.882 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.882 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.882 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 5.882 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.882 * [taylor]: Taking taylor expansion of N in N 5.882 * [backup-simplify]: Simplify 0 into 0 5.882 * [backup-simplify]: Simplify 1 into 1 5.883 * [backup-simplify]: Simplify (* 1 1) into 1 5.883 * [backup-simplify]: Simplify (* 1 1) into 1 5.884 * [backup-simplify]: Simplify (/ 1 1) into 1 5.884 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 5.884 * [taylor]: Taking taylor expansion of 1.0 in N 5.884 * [backup-simplify]: Simplify 1.0 into 1.0 5.884 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.884 * [taylor]: Taking taylor expansion of N in N 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 1 into 1 5.884 * [backup-simplify]: Simplify (/ 1 1) into 1 5.884 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 5.884 * [taylor]: Taking taylor expansion of 0.5 in N 5.884 * [backup-simplify]: Simplify 0.5 into 0.5 5.885 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.885 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.885 * [taylor]: Taking taylor expansion of N in N 5.885 * [backup-simplify]: Simplify 0 into 0 5.885 * [backup-simplify]: Simplify 1 into 1 5.885 * [backup-simplify]: Simplify (* 1 1) into 1 5.885 * [backup-simplify]: Simplify (/ 1 1) into 1 5.885 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 5.886 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 5.886 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 5.886 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.886 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.886 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 5.886 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.886 * [taylor]: Taking taylor expansion of N in N 5.886 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify 1 into 1 5.886 * [backup-simplify]: Simplify (* 1 1) into 1 5.887 * [backup-simplify]: Simplify (* 1 1) into 1 5.887 * [backup-simplify]: Simplify (/ 1 1) into 1 5.887 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 5.887 * [taylor]: Taking taylor expansion of 1.0 in N 5.887 * [backup-simplify]: Simplify 1.0 into 1.0 5.887 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.887 * [taylor]: Taking taylor expansion of N in N 5.887 * [backup-simplify]: Simplify 0 into 0 5.887 * [backup-simplify]: Simplify 1 into 1 5.888 * [backup-simplify]: Simplify (/ 1 1) into 1 5.888 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 5.888 * [taylor]: Taking taylor expansion of 0.5 in N 5.888 * [backup-simplify]: Simplify 0.5 into 0.5 5.888 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.888 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.888 * [taylor]: Taking taylor expansion of N in N 5.888 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify 1 into 1 5.889 * [backup-simplify]: Simplify (* 1 1) into 1 5.889 * [backup-simplify]: Simplify (/ 1 1) into 1 5.890 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.890 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 5.891 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 5.891 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.894 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 5.894 * [backup-simplify]: Simplify (+ 0 0) into 0 5.895 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.895 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.896 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 5.897 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.901 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 5.902 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 5.902 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.904 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.906 * [backup-simplify]: Simplify (- 0) into 0 5.907 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.907 * [backup-simplify]: Simplify 1.0 into 1.0 5.908 * [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)))) 5.908 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 N) 3)) (/ 1 (/ (/ 1 N) (- 1.0 (/ 0.5 (/ 1 N)))))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 5.908 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 5.908 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 5.908 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 5.908 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 5.909 * [taylor]: Taking taylor expansion of 1.0 in N 5.909 * [backup-simplify]: Simplify 1.0 into 1.0 5.909 * [taylor]: Taking taylor expansion of N in N 5.909 * [backup-simplify]: Simplify 0 into 0 5.909 * [backup-simplify]: Simplify 1 into 1 5.909 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.909 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.909 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.909 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.909 * [taylor]: Taking taylor expansion of N in N 5.909 * [backup-simplify]: Simplify 0 into 0 5.909 * [backup-simplify]: Simplify 1 into 1 5.909 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.909 * [taylor]: Taking taylor expansion of 0.5 in N 5.909 * [backup-simplify]: Simplify 0.5 into 0.5 5.909 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.909 * [taylor]: Taking taylor expansion of N in N 5.909 * [backup-simplify]: Simplify 0 into 0 5.909 * [backup-simplify]: Simplify 1 into 1 5.909 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 5.909 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 5.909 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 5.909 * [taylor]: Taking taylor expansion of 1.0 in N 5.909 * [backup-simplify]: Simplify 1.0 into 1.0 5.909 * [taylor]: Taking taylor expansion of N in N 5.909 * [backup-simplify]: Simplify 0 into 0 5.909 * [backup-simplify]: Simplify 1 into 1 5.909 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.909 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.909 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.909 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.909 * [taylor]: Taking taylor expansion of N in N 5.909 * [backup-simplify]: Simplify 0 into 0 5.909 * [backup-simplify]: Simplify 1 into 1 5.909 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.909 * [taylor]: Taking taylor expansion of 0.5 in N 5.909 * [backup-simplify]: Simplify 0.5 into 0.5 5.909 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.910 * [taylor]: Taking taylor expansion of N in N 5.910 * [backup-simplify]: Simplify 0 into 0 5.910 * [backup-simplify]: Simplify 1 into 1 5.910 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.910 * [backup-simplify]: Simplify (+ 0 0) into 0 5.911 * [backup-simplify]: Simplify (+ 0 0) into 0 5.911 * [backup-simplify]: Simplify 0 into 0 5.912 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 5.913 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.913 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.913 * [backup-simplify]: Simplify 1.0 into 1.0 5.914 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 5.914 * [backup-simplify]: Simplify (+ 0 0) into 0 5.915 * [backup-simplify]: Simplify (* 1 1) into 1 5.915 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.916 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.916 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 5.917 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.918 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.918 * [backup-simplify]: Simplify (* 1 1) into 1 5.918 * [backup-simplify]: Simplify (* 1 1) into 1 5.919 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.919 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 5.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.920 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.921 * [backup-simplify]: Simplify (- 0) into 0 5.921 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 5.921 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.922 * [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)))) 5.923 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (/ 1 (/ (/ 1 (- N)) (- 1.0 (/ 0.5 (/ 1 (- N))))))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 5.923 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 5.923 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 5.923 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 5.923 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.923 * [taylor]: Taking taylor expansion of 0.5 in N 5.923 * [backup-simplify]: Simplify 0.5 into 0.5 5.923 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.923 * [taylor]: Taking taylor expansion of N in N 5.923 * [backup-simplify]: Simplify 0 into 0 5.923 * [backup-simplify]: Simplify 1 into 1 5.923 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 5.923 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 5.923 * [taylor]: Taking taylor expansion of 1.0 in N 5.923 * [backup-simplify]: Simplify 1.0 into 1.0 5.923 * [taylor]: Taking taylor expansion of N in N 5.923 * [backup-simplify]: Simplify 0 into 0 5.923 * [backup-simplify]: Simplify 1 into 1 5.923 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.923 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.923 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.923 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.923 * [taylor]: Taking taylor expansion of N in N 5.923 * [backup-simplify]: Simplify 0 into 0 5.923 * [backup-simplify]: Simplify 1 into 1 5.923 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 5.923 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 5.923 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.923 * [taylor]: Taking taylor expansion of 0.5 in N 5.923 * [backup-simplify]: Simplify 0.5 into 0.5 5.923 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.923 * [taylor]: Taking taylor expansion of N in N 5.923 * [backup-simplify]: Simplify 0 into 0 5.923 * [backup-simplify]: Simplify 1 into 1 5.923 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 5.923 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 5.923 * [taylor]: Taking taylor expansion of 1.0 in N 5.924 * [backup-simplify]: Simplify 1.0 into 1.0 5.924 * [taylor]: Taking taylor expansion of N in N 5.924 * [backup-simplify]: Simplify 0 into 0 5.924 * [backup-simplify]: Simplify 1 into 1 5.924 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.924 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.924 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.924 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.924 * [taylor]: Taking taylor expansion of N in N 5.924 * [backup-simplify]: Simplify 0 into 0 5.924 * [backup-simplify]: Simplify 1 into 1 5.924 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.925 * [backup-simplify]: Simplify (+ 0 0) into 0 5.925 * [backup-simplify]: Simplify (+ 0 0) into 0 5.925 * [backup-simplify]: Simplify (- 0) into 0 5.925 * [backup-simplify]: Simplify 0 into 0 5.927 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 5.927 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.928 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.928 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.929 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.929 * [backup-simplify]: Simplify (* 1 1) into 1 5.929 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.930 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 5.931 * [backup-simplify]: Simplify (+ 0 0) into 0 5.931 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 5.931 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.932 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.933 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.934 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.934 * [backup-simplify]: Simplify (* 1 1) into 1 5.935 * [backup-simplify]: Simplify (* 1 1) into 1 5.935 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.935 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 5.936 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 5.936 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 5.937 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 5.938 * [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)))) 5.938 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.938 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 5.938 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 5.938 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 5.939 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.939 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.939 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.939 * [taylor]: Taking taylor expansion of N in N 5.939 * [backup-simplify]: Simplify 0 into 0 5.939 * [backup-simplify]: Simplify 1 into 1 5.944 * [backup-simplify]: Simplify (* 1 1) into 1 5.945 * [backup-simplify]: Simplify (* 1 1) into 1 5.946 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 5.946 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 5.946 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.946 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.946 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.946 * [taylor]: Taking taylor expansion of N in N 5.946 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify 1 into 1 5.946 * [backup-simplify]: Simplify (* 1 1) into 1 5.947 * [backup-simplify]: Simplify (* 1 1) into 1 5.947 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 5.947 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 5.949 * [backup-simplify]: Simplify 0 into 0 5.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.952 * [backup-simplify]: Simplify 0 into 0 5.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.955 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.958 * [backup-simplify]: Simplify 0 into 0 5.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.961 * [backup-simplify]: Simplify 0 into 0 5.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.965 * [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 5.965 * [backup-simplify]: Simplify 0 into 0 5.966 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 5.966 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 5.966 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 5.966 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.966 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.966 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.966 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.966 * [taylor]: Taking taylor expansion of N in N 5.966 * [backup-simplify]: Simplify 0 into 0 5.966 * [backup-simplify]: Simplify 1 into 1 5.966 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.966 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.966 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.966 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.966 * [taylor]: Taking taylor expansion of N in N 5.966 * [backup-simplify]: Simplify 0 into 0 5.966 * [backup-simplify]: Simplify 1 into 1 5.967 * [backup-simplify]: Simplify (* 1 1) into 1 5.967 * [backup-simplify]: Simplify (* 1 1) into 1 5.967 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.967 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.969 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 5.969 * [backup-simplify]: Simplify 0 into 0 5.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.972 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 5.972 * [backup-simplify]: Simplify 0 into 0 5.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.975 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.975 * [backup-simplify]: Simplify 0 into 0 5.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.978 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.978 * [backup-simplify]: Simplify 0 into 0 5.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.982 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.982 * [backup-simplify]: Simplify 0 into 0 5.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.986 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.986 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 5.987 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 5.987 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 5.987 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 5.987 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 5.987 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 5.987 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.987 * [taylor]: Taking taylor expansion of N in N 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify 1 into 1 5.987 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 5.987 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 5.987 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 5.987 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.987 * [taylor]: Taking taylor expansion of N in N 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify 1 into 1 5.987 * [backup-simplify]: Simplify (* 1 1) into 1 5.988 * [backup-simplify]: Simplify (* 1 1) into 1 5.988 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 5.988 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 5.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.990 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 5.990 * [backup-simplify]: Simplify 0 into 0 5.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.992 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 5.993 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.995 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.995 * [backup-simplify]: Simplify 0 into 0 5.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.999 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.999 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.002 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.002 * [backup-simplify]: Simplify 0 into 0 6.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.006 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.006 * [backup-simplify]: Simplify 0 into 0 6.007 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.007 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 6.007 * [backup-simplify]: Simplify (/ N (- 1.0 (/ 0.5 N))) into (/ N (- 1.0 (* 0.5 (/ 1 N)))) 6.007 * [approximate]: Taking taylor expansion of (/ N (- 1.0 (* 0.5 (/ 1 N)))) in (N) around 0 6.007 * [taylor]: Taking taylor expansion of (/ N (- 1.0 (* 0.5 (/ 1 N)))) in N 6.007 * [taylor]: Taking taylor expansion of N in N 6.007 * [backup-simplify]: Simplify 0 into 0 6.007 * [backup-simplify]: Simplify 1 into 1 6.007 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 6.007 * [taylor]: Taking taylor expansion of 1.0 in N 6.007 * [backup-simplify]: Simplify 1.0 into 1.0 6.007 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 6.007 * [taylor]: Taking taylor expansion of 0.5 in N 6.007 * [backup-simplify]: Simplify 0.5 into 0.5 6.007 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.007 * [taylor]: Taking taylor expansion of N in N 6.007 * [backup-simplify]: Simplify 0 into 0 6.007 * [backup-simplify]: Simplify 1 into 1 6.008 * [backup-simplify]: Simplify (/ 1 1) into 1 6.008 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.009 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.009 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.010 * [backup-simplify]: Simplify (/ 1 (- 0.5)) into -2.0 6.010 * [taylor]: Taking taylor expansion of (/ N (- 1.0 (* 0.5 (/ 1 N)))) in N 6.010 * [taylor]: Taking taylor expansion of N in N 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * [backup-simplify]: Simplify 1 into 1 6.010 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 6.010 * [taylor]: Taking taylor expansion of 1.0 in N 6.010 * [backup-simplify]: Simplify 1.0 into 1.0 6.010 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 6.010 * [taylor]: Taking taylor expansion of 0.5 in N 6.010 * [backup-simplify]: Simplify 0.5 into 0.5 6.010 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.010 * [taylor]: Taking taylor expansion of N in N 6.011 * [backup-simplify]: Simplify 0 into 0 6.011 * [backup-simplify]: Simplify 1 into 1 6.011 * [backup-simplify]: Simplify (/ 1 1) into 1 6.011 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.012 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.012 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.013 * [backup-simplify]: Simplify (/ 1 (- 0.5)) into -2.0 6.013 * [backup-simplify]: Simplify -2.0 into -2.0 6.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.015 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.015 * [backup-simplify]: Simplify (- 0) into 0 6.015 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.019 * [backup-simplify]: Simplify (- (/ 0 (- 0.5)) (+ (* -2.0 (/ 1.0 (- 0.5))))) into (- 4.0) 6.019 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 6.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.021 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.021 * [backup-simplify]: Simplify (- 0) into 0 6.022 * [backup-simplify]: Simplify (+ 0 0) into 0 6.028 * [backup-simplify]: Simplify (- (/ 0 (- 0.5)) (+ (* -2.0 (/ 0 (- 0.5))) (* (- 4.0) (/ 1.0 (- 0.5))))) into (- 8.0) 6.028 * [backup-simplify]: Simplify (- 8.0) into (- 8.0) 6.030 * [backup-simplify]: Simplify (+ (* (- 8.0) (pow N 4)) (+ (* (- 4.0) (pow N 3)) (* -2.0 (pow N 2)))) into (- (+ (* 2.0 (pow N 2)) (+ (* 8.0 (pow N 4)) (* 4.0 (pow N 3))))) 6.030 * [backup-simplify]: Simplify (/ (/ 1 N) (- 1.0 (/ 0.5 (/ 1 N)))) into (/ 1 (* N (- 1.0 (* 0.5 N)))) 6.030 * [approximate]: Taking taylor expansion of (/ 1 (* N (- 1.0 (* 0.5 N)))) in (N) around 0 6.030 * [taylor]: Taking taylor expansion of (/ 1 (* N (- 1.0 (* 0.5 N)))) in N 6.030 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 6.030 * [taylor]: Taking taylor expansion of N in N 6.030 * [backup-simplify]: Simplify 0 into 0 6.030 * [backup-simplify]: Simplify 1 into 1 6.030 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 6.030 * [taylor]: Taking taylor expansion of 1.0 in N 6.030 * [backup-simplify]: Simplify 1.0 into 1.0 6.030 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.030 * [taylor]: Taking taylor expansion of 0.5 in N 6.030 * [backup-simplify]: Simplify 0.5 into 0.5 6.030 * [taylor]: Taking taylor expansion of N in N 6.030 * [backup-simplify]: Simplify 0 into 0 6.030 * [backup-simplify]: Simplify 1 into 1 6.031 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.031 * [backup-simplify]: Simplify (- 0) into 0 6.031 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.032 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.033 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.033 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.034 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.036 * [backup-simplify]: Simplify (+ (* 0 (- 0.5)) (* 1 1.0)) into 1.0 6.036 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 6.036 * [taylor]: Taking taylor expansion of (/ 1 (* N (- 1.0 (* 0.5 N)))) in N 6.036 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 6.036 * [taylor]: Taking taylor expansion of N in N 6.036 * [backup-simplify]: Simplify 0 into 0 6.036 * [backup-simplify]: Simplify 1 into 1 6.036 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 6.036 * [taylor]: Taking taylor expansion of 1.0 in N 6.036 * [backup-simplify]: Simplify 1.0 into 1.0 6.036 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.036 * [taylor]: Taking taylor expansion of 0.5 in N 6.036 * [backup-simplify]: Simplify 0.5 into 0.5 6.036 * [taylor]: Taking taylor expansion of N in N 6.036 * [backup-simplify]: Simplify 0 into 0 6.036 * [backup-simplify]: Simplify 1 into 1 6.037 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.037 * [backup-simplify]: Simplify (- 0) into 0 6.038 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.038 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.039 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.040 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.040 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.042 * [backup-simplify]: Simplify (+ (* 0 (- 0.5)) (* 1 1.0)) into 1.0 6.042 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 6.043 * [backup-simplify]: Simplify 1.0 into 1.0 6.043 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 6.044 * [backup-simplify]: Simplify (- 0) into 0 6.044 * [backup-simplify]: Simplify (+ 0 0) into 0 6.047 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 0.5)) (* 0 1.0))) into (- 0.5) 6.050 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ (- 0.5) 1.0)))) into 0.5 6.050 * [backup-simplify]: Simplify 0.5 into 0.5 6.051 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.051 * [backup-simplify]: Simplify (- 0) into 0 6.052 * [backup-simplify]: Simplify (+ 0 0) into 0 6.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 1.0)))) into 0 6.057 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)) (* 0.5 (/ (- 0.5) 1.0)))) into 0.25 6.057 * [backup-simplify]: Simplify 0.25 into 0.25 6.057 * [backup-simplify]: Simplify (+ (* 0.25 (/ 1 N)) (+ 0.5 (* 1.0 (/ 1 (/ 1 N))))) into (+ (* 0.25 (/ 1 N)) (+ (* 1.0 N) 0.5)) 6.057 * [backup-simplify]: Simplify (/ (/ 1 (- N)) (- 1.0 (/ 0.5 (/ 1 (- N))))) into (/ -1 (* (+ (* 0.5 N) 1.0) N)) 6.057 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 N) 1.0) N)) in (N) around 0 6.057 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 N) 1.0) N)) in N 6.057 * [taylor]: Taking taylor expansion of -1 in N 6.057 * [backup-simplify]: Simplify -1 into -1 6.057 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 6.057 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 6.057 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.057 * [taylor]: Taking taylor expansion of 0.5 in N 6.057 * [backup-simplify]: Simplify 0.5 into 0.5 6.057 * [taylor]: Taking taylor expansion of N in N 6.057 * [backup-simplify]: Simplify 0 into 0 6.057 * [backup-simplify]: Simplify 1 into 1 6.058 * [taylor]: Taking taylor expansion of 1.0 in N 6.058 * [backup-simplify]: Simplify 1.0 into 1.0 6.058 * [taylor]: Taking taylor expansion of N in N 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify 1 into 1 6.058 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.058 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.059 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.060 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.060 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 6.062 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0.5 0)) into 1.0 6.062 * [backup-simplify]: Simplify (/ -1 1.0) into -1.0 6.062 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 N) 1.0) N)) in N 6.062 * [taylor]: Taking taylor expansion of -1 in N 6.062 * [backup-simplify]: Simplify -1 into -1 6.062 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 6.062 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 6.062 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.062 * [taylor]: Taking taylor expansion of 0.5 in N 6.062 * [backup-simplify]: Simplify 0.5 into 0.5 6.063 * [taylor]: Taking taylor expansion of N in N 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify 1 into 1 6.063 * [taylor]: Taking taylor expansion of 1.0 in N 6.063 * [backup-simplify]: Simplify 1.0 into 1.0 6.063 * [taylor]: Taking taylor expansion of N in N 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify 1 into 1 6.063 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.063 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.063 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.064 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.065 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 6.065 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0.5 0)) into 1.0 6.066 * [backup-simplify]: Simplify (/ -1 1.0) into -1.0 6.066 * [backup-simplify]: Simplify -1.0 into -1.0 6.066 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 6.067 * [backup-simplify]: Simplify (+ 0 0) into 0 6.068 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 1) (* 0 0))) into 0.5 6.073 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* -1.0 (/ 0.5 1.0)))) into 0.5 6.073 * [backup-simplify]: Simplify 0.5 into 0.5 6.074 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.074 * [backup-simplify]: Simplify (+ 0 0) into 0 6.075 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 1) (* 0 0)))) into 0 6.078 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* -1.0 (/ 0 1.0)) (* 0.5 (/ 0.5 1.0)))) into (- 0.25) 6.078 * [backup-simplify]: Simplify (- 0.25) into (- 0.25) 6.079 * [backup-simplify]: Simplify (+ (* (- 0.25) (/ 1 (- N))) (+ 0.5 (* -1.0 (/ 1 (/ 1 (- N)))))) into (+ (* 0.25 (/ 1 N)) (+ (* 1.0 N) 0.5)) 6.079 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 6.080 * [backup-simplify]: Simplify (/ 1 (/ N (- 1.0 (/ 0.5 N)))) into (/ (- 1.0 (* 0.5 (/ 1 N))) N) 6.080 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in (N) around 0 6.080 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 6.080 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 6.080 * [taylor]: Taking taylor expansion of 1.0 in N 6.080 * [backup-simplify]: Simplify 1.0 into 1.0 6.080 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 6.080 * [taylor]: Taking taylor expansion of 0.5 in N 6.080 * [backup-simplify]: Simplify 0.5 into 0.5 6.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.080 * [taylor]: Taking taylor expansion of N in N 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 1 into 1 6.080 * [backup-simplify]: Simplify (/ 1 1) into 1 6.080 * [taylor]: Taking taylor expansion of N in N 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 1 into 1 6.080 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.081 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.081 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.082 * [backup-simplify]: Simplify (/ (- 0.5) 1) into -0.5 6.082 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 6.082 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 6.082 * [taylor]: Taking taylor expansion of 1.0 in N 6.082 * [backup-simplify]: Simplify 1.0 into 1.0 6.082 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 6.082 * [taylor]: Taking taylor expansion of 0.5 in N 6.082 * [backup-simplify]: Simplify 0.5 into 0.5 6.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.082 * [taylor]: Taking taylor expansion of N in N 6.082 * [backup-simplify]: Simplify 0 into 0 6.082 * [backup-simplify]: Simplify 1 into 1 6.082 * [backup-simplify]: Simplify (/ 1 1) into 1 6.082 * [taylor]: Taking taylor expansion of N in N 6.082 * [backup-simplify]: Simplify 0 into 0 6.082 * [backup-simplify]: Simplify 1 into 1 6.083 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.083 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.083 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.084 * [backup-simplify]: Simplify (/ (- 0.5) 1) into -0.5 6.084 * [backup-simplify]: Simplify -0.5 into -0.5 6.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.085 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.085 * [backup-simplify]: Simplify (- 0) into 0 6.085 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.087 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -0.5 (/ 0 1)))) into 1.0 6.087 * [backup-simplify]: Simplify 1.0 into 1.0 6.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.088 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.089 * [backup-simplify]: Simplify (- 0) into 0 6.089 * [backup-simplify]: Simplify (+ 0 0) into 0 6.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 6.089 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.091 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.091 * [backup-simplify]: Simplify (- 0) into 0 6.092 * [backup-simplify]: Simplify (+ 0 0) into 0 6.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.093 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.095 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.096 * [backup-simplify]: Simplify (- 0) into 0 6.096 * [backup-simplify]: Simplify (+ 0 0) into 0 6.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.097 * [backup-simplify]: Simplify 0 into 0 6.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.100 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.100 * [backup-simplify]: Simplify (- 0) into 0 6.101 * [backup-simplify]: Simplify (+ 0 0) into 0 6.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.102 * [backup-simplify]: Simplify 0 into 0 6.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.105 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.105 * [backup-simplify]: Simplify (- 0) into 0 6.105 * [backup-simplify]: Simplify (+ 0 0) into 0 6.107 * [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 6.107 * [backup-simplify]: Simplify 0 into 0 6.108 * [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 6.109 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.110 * [backup-simplify]: Simplify (- 0) into 0 6.110 * [backup-simplify]: Simplify (+ 0 0) into 0 6.112 * [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 6.112 * [backup-simplify]: Simplify 0 into 0 6.112 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (* -0.5 (pow (/ 1 N) 2))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 6.112 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 N) (- 1.0 (/ 0.5 (/ 1 N))))) into (* N (- 1.0 (* 0.5 N))) 6.112 * [approximate]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in (N) around 0 6.112 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 6.112 * [taylor]: Taking taylor expansion of N in N 6.112 * [backup-simplify]: Simplify 0 into 0 6.112 * [backup-simplify]: Simplify 1 into 1 6.112 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 6.112 * [taylor]: Taking taylor expansion of 1.0 in N 6.112 * [backup-simplify]: Simplify 1.0 into 1.0 6.112 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.113 * [taylor]: Taking taylor expansion of 0.5 in N 6.113 * [backup-simplify]: Simplify 0.5 into 0.5 6.113 * [taylor]: Taking taylor expansion of N in N 6.113 * [backup-simplify]: Simplify 0 into 0 6.113 * [backup-simplify]: Simplify 1 into 1 6.113 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 6.113 * [taylor]: Taking taylor expansion of N in N 6.113 * [backup-simplify]: Simplify 0 into 0 6.113 * [backup-simplify]: Simplify 1 into 1 6.113 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 6.113 * [taylor]: Taking taylor expansion of 1.0 in N 6.113 * [backup-simplify]: Simplify 1.0 into 1.0 6.113 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.113 * [taylor]: Taking taylor expansion of 0.5 in N 6.113 * [backup-simplify]: Simplify 0.5 into 0.5 6.113 * [taylor]: Taking taylor expansion of N in N 6.113 * [backup-simplify]: Simplify 0 into 0 6.113 * [backup-simplify]: Simplify 1 into 1 6.114 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.114 * [backup-simplify]: Simplify (- 0) into 0 6.114 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.115 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.115 * [backup-simplify]: Simplify 0 into 0 6.116 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.117 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.118 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.119 * [backup-simplify]: Simplify (+ (* 0 (- 0.5)) (* 1 1.0)) into 1.0 6.119 * [backup-simplify]: Simplify 1.0 into 1.0 6.120 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 6.121 * [backup-simplify]: Simplify (- 0) into 0 6.121 * [backup-simplify]: Simplify (+ 0 0) into 0 6.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 0.5)) (* 0 1.0))) into (- 0.5) 6.125 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.126 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.127 * [backup-simplify]: Simplify (- 0) into 0 6.127 * [backup-simplify]: Simplify (+ 0 0) into 0 6.129 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 1.0)))) into 0 6.129 * [backup-simplify]: Simplify 0 into 0 6.130 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.130 * [backup-simplify]: Simplify (- 0) into 0 6.131 * [backup-simplify]: Simplify (+ 0 0) into 0 6.132 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))) into 0 6.133 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.134 * [backup-simplify]: Simplify (- 0) into 0 6.135 * [backup-simplify]: Simplify (+ 0 0) into 0 6.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))) into 0 6.137 * [backup-simplify]: Simplify 0 into 0 6.138 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.139 * [backup-simplify]: Simplify (- 0) into 0 6.139 * [backup-simplify]: Simplify (+ 0 0) into 0 6.141 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))))) into 0 6.142 * [backup-simplify]: Simplify 0 into 0 6.143 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.144 * [backup-simplify]: Simplify (- 0) into 0 6.144 * [backup-simplify]: Simplify (+ 0 0) into 0 6.147 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))))) into 0 6.147 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 6.150 * [backup-simplify]: Simplify (- 0) into 0 6.150 * [backup-simplify]: Simplify (+ 0 0) into 0 6.153 * [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 6.153 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 6.154 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- N)) (- 1.0 (/ 0.5 (/ 1 (- N)))))) into (* -1 (* (+ (* 0.5 N) 1.0) N)) 6.154 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in (N) around 0 6.154 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in N 6.154 * [taylor]: Taking taylor expansion of -1 in N 6.154 * [backup-simplify]: Simplify -1 into -1 6.154 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 6.154 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 6.154 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.154 * [taylor]: Taking taylor expansion of 0.5 in N 6.154 * [backup-simplify]: Simplify 0.5 into 0.5 6.154 * [taylor]: Taking taylor expansion of N in N 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify 1 into 1 6.154 * [taylor]: Taking taylor expansion of 1.0 in N 6.154 * [backup-simplify]: Simplify 1.0 into 1.0 6.154 * [taylor]: Taking taylor expansion of N in N 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify 1 into 1 6.154 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in N 6.154 * [taylor]: Taking taylor expansion of -1 in N 6.155 * [backup-simplify]: Simplify -1 into -1 6.155 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 6.155 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 6.155 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.155 * [taylor]: Taking taylor expansion of 0.5 in N 6.155 * [backup-simplify]: Simplify 0.5 into 0.5 6.155 * [taylor]: Taking taylor expansion of N in N 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 1 into 1 6.155 * [taylor]: Taking taylor expansion of 1.0 in N 6.155 * [backup-simplify]: Simplify 1.0 into 1.0 6.155 * [taylor]: Taking taylor expansion of N in N 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 1 into 1 6.155 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.156 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.156 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.157 * [backup-simplify]: Simplify (* -1 0) into 0 6.157 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.159 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 6.160 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0.5 0)) into 1.0 6.162 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 0)) into (- 1.0) 6.162 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.163 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 6.164 * [backup-simplify]: Simplify (+ 0 0) into 0 6.166 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 1) (* 0 0))) into 0.5 6.169 * [backup-simplify]: Simplify (+ (* -1 0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.5) 6.169 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.170 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.171 * [backup-simplify]: Simplify (+ 0 0) into 0 6.172 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 1) (* 0 0)))) into 0 6.173 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))) into 0 6.174 * [backup-simplify]: Simplify 0 into 0 6.175 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.175 * [backup-simplify]: Simplify (+ 0 0) into 0 6.177 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.178 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))) into 0 6.178 * [backup-simplify]: Simplify 0 into 0 6.180 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.180 * [backup-simplify]: Simplify (+ 0 0) into 0 6.182 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.184 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))))) into 0 6.184 * [backup-simplify]: Simplify 0 into 0 6.185 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.186 * [backup-simplify]: Simplify (+ 0 0) into 0 6.188 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.190 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))))) into 0 6.190 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.193 * [backup-simplify]: Simplify (+ 0 0) into 0 6.195 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.197 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))))))) into 0 6.197 * [backup-simplify]: Simplify 0 into 0 6.199 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 6.199 * [backup-simplify]: Simplify (+ 0 0) into 0 6.200 * [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 6.201 * [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 6.202 * [backup-simplify]: Simplify 0 into 0 6.202 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N)))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 6.202 * * * [progress]: simplifying candidates 6.210 * [simplify]: Simplifying: (* (exp (/ 0.3333333333333333 (pow N 3))) (exp (/ 1 (/ N (- 1.0 (/ 0.5 N)))))) (log (+ (/ 0.3333333333333333 (pow N 3)) (/ 1 (/ N (- 1.0 (/ 0.5 N)))))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (/ 1 (/ N (- 1.0 (/ 0.5 N)))))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1 (/ N (- 1.0 (/ 0.5 N)))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1 (/ N (- 1.0 (/ 0.5 N))))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1 (/ N (- 1.0 (/ 0.5 N)))))) (* (* (+ (/ 0.3333333333333333 (pow N 3)) (/ 1 (/ N (- 1.0 (/ 0.5 N))))) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1 (/ N (- 1.0 (/ 0.5 N)))))) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1 (/ N (- 1.0 (/ 0.5 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(/ 1 (sqrt (/ N (- 1.0 (/ 0.5 N))))) (/ 1 (/ (* (cbrt N) (cbrt N)) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))))) (/ 1 (/ (* (cbrt N) (cbrt N)) (sqrt (- 1.0 (/ 0.5 N))))) (/ 1 (/ (* (cbrt N) (cbrt N)) 1)) (/ 1 (/ (* (cbrt N) (cbrt N)) (+ (sqrt 1.0) (sqrt (/ 0.5 N))))) (/ 1 (/ (* (cbrt N) (cbrt N)) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))))) (/ 1 (/ (* (cbrt N) (cbrt N)) 1)) (/ 1 (/ (sqrt N) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))))) (/ 1 (/ (sqrt N) (sqrt (- 1.0 (/ 0.5 N))))) (/ 1 (/ (sqrt N) 1)) (/ 1 (/ (sqrt N) (+ (sqrt 1.0) (sqrt (/ 0.5 N))))) (/ 1 (/ (sqrt N) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))))) (/ 1 (/ (sqrt N) 1)) (/ 1 (/ 1 (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))))) (/ 1 (/ 1 (sqrt (- 1.0 (/ 0.5 N))))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (+ (sqrt 1.0) (sqrt (/ 0.5 N))))) (/ 1 (/ 1 (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 N) (/ 1 (/ N (- (pow 1.0 3) (pow (/ 0.5 N) 3)))) (/ 1 (/ N (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))))) (/ (/ N (- 1.0 (/ 0.5 N))) (cbrt 1)) (/ (/ N (- 1.0 (/ 0.5 N))) (sqrt 1)) (/ (/ N (- 1.0 (/ 0.5 N))) 1) (/ 1 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)) (- (+ (* 2.0 (pow N 2)) (+ (* 8.0 (pow N 4)) (* 4.0 (pow N 3))))) (+ (* 0.25 (/ 1 N)) (+ (* 1.0 N) 0.5)) (+ (* 0.25 (/ 1 N)) (+ (* 1.0 N) 0.5)) (- (* 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)))) 6.217 * * [simplify]: Extracting # 0 : cost 0 6.217 * * [simplify]: Extracting # 1 : cost 0 6.218 * * [simplify]: Extracting # 2 : cost 0 6.219 * * [simplify]: Extracting # 3 : cost 0 6.219 * * [simplify]: Extracting # 4 : cost 0 6.220 * * [simplify]: Extracting # 5 : cost 0 6.221 * * [simplify]: Extracting # 6 : cost 0 6.221 * * [simplify]: Extracting # 7 : cost 0 6.222 * * [simplify]: Extracting # 8 : cost 0 6.223 * * [simplify]: Extracting # 9 : cost 0 6.223 * * [simplify]: iteration 0 : 367 enodes (cost 4138 ) 6.480 * * [simplify]: Extracting # 0 : cost 0 6.481 * * [simplify]: Extracting # 1 : cost 0 6.482 * * [simplify]: Extracting # 2 : cost 0 6.483 * * [simplify]: Extracting # 3 : cost 0 6.484 * * [simplify]: Extracting # 4 : cost 0 6.485 * * [simplify]: iteration 1 : 776 enodes (cost 3570 ) 6.937 * * [simplify]: Extracting # 0 : cost 0 6.940 * * [simplify]: Extracting # 1 : cost 0 6.942 * * [simplify]: Extracting # 2 : cost 0 6.944 * * [simplify]: Extracting # 3 : cost 0 6.946 * * [simplify]: iteration 2 : 2020 enodes (cost 3239 ) 7.582 * * [simplify]: Extracting # 0 : cost 0 7.587 * * [simplify]: Extracting # 1 : cost 0 7.603 * * [simplify]: Extracting # 2 : cost 0 7.614 * * [simplify]: Extracting # 3 : cost 0 7.626 * * [simplify]: iteration done: 5000 enodes (cost 3239 ) 7.629 * [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))) (+ (pow N 3) (* 0.3333333333333333 (/ N (- 1.0 (/ 0.5 N))))) (/ (pow N 4) (- 1.0 (/ 0.5 N))) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ (- 1.0 (/ 0.5 N)) N) 3)) (+ (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6)) (* (/ (- 1.0 (/ 0.5 N)) N) (- (/ (- 1.0 (/ 0.5 N)) N) (/ 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(/ 1 (/ (cbrt N) (cbrt (- 1.0 (/ 0.5 N))))) (/ (sqrt (- 1.0 (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (- 1.0 (/ 0.5 N))) (cbrt N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ 1 (/ (cbrt N) (- (sqrt 1.0) (sqrt (/ 0.5 N))))) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (* (cbrt N) (cbrt N))) (/ 1 (/ (cbrt N) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))))) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (sqrt N)) (* (/ 1 (sqrt N)) (cbrt (- 1.0 (/ 0.5 N)))) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (* (/ 1 (sqrt N)) (- (sqrt 1.0) (sqrt (/ 0.5 N)))) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (sqrt N)) (/ 1 (/ (sqrt N) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))))) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (* (/ 1 N) (cbrt (- 1.0 (/ 0.5 N)))) (sqrt (- 1.0 (/ 0.5 N))) (/ (sqrt (- 1.0 (/ 0.5 N))) N) 1 (/ (- 1.0 (/ 0.5 N)) N) (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (* (/ 1 N) (- (sqrt 1.0) (sqrt (/ 0.5 N)))) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (/ 1 (/ N (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))))) 1 (/ (- 1.0 (/ 0.5 N)) N) 1 (/ (- 1.0 (/ 0.5 N)) N) (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 1 (/ N (- (pow 1.0 3) (pow (/ 0.5 N) 3)))) (/ 1 (+ (* 1.0 1.0) (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (* (/ 1 N) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N)))) (/ 1 (+ 1.0 (/ 0.5 N))) (/ (/ 1 (cbrt (/ N (- 1.0 (/ 0.5 N))))) (cbrt (/ N (- 1.0 (/ 0.5 N))))) (/ 1 (cbrt (/ N (- 1.0 (/ 0.5 N))))) (/ 1 (sqrt (/ N (- 1.0 (/ 0.5 N))))) (/ 1 (sqrt (/ N (- 1.0 (/ 0.5 N))))) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (* (cbrt N) (cbrt N))) (/ 1 (/ (cbrt N) (cbrt (- 1.0 (/ 0.5 N))))) (/ (sqrt (- 1.0 (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (- 1.0 (/ 0.5 N))) (cbrt N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ 1 (/ (cbrt N) (- (sqrt 1.0) (sqrt (/ 0.5 N))))) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (* (cbrt N) (cbrt N))) (/ 1 (/ (cbrt N) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))))) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (sqrt N)) (* (/ 1 (sqrt N)) (cbrt (- 1.0 (/ 0.5 N)))) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (* (/ 1 (sqrt N)) (- (sqrt 1.0) (sqrt (/ 0.5 N)))) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (sqrt N)) (/ 1 (/ (sqrt N) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))))) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (* (/ 1 N) (cbrt (- 1.0 (/ 0.5 N)))) (sqrt (- 1.0 (/ 0.5 N))) (/ (sqrt (- 1.0 (/ 0.5 N))) N) 1 (/ (- 1.0 (/ 0.5 N)) N) (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (* (/ 1 N) (- (sqrt 1.0) (sqrt (/ 0.5 N)))) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (/ 1 (/ N (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))))) 1 (/ (- 1.0 (/ 0.5 N)) N) 1 (/ (- 1.0 (/ 0.5 N)) N) (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 1 (/ N (- (pow 1.0 3) (pow (/ 0.5 N) 3)))) (/ 1 (+ (* 1.0 1.0) (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (* (/ 1 N) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N)))) (/ 1 (+ 1.0 (/ 0.5 N))) (/ (- 1.0 (/ 0.5 N)) N) (/ N (- 1.0 (/ 0.5 N))) (/ (/ 1 (cbrt (/ N (- 1.0 (/ 0.5 N))))) (cbrt (/ N (- 1.0 (/ 0.5 N))))) (/ 1 (sqrt (/ N (- 1.0 (/ 0.5 N))))) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (* (cbrt N) (cbrt N))) (/ (sqrt (- 1.0 (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (* (cbrt N) (cbrt N))) (/ 1 (* (cbrt N) (cbrt N))) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ 1 (sqrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (sqrt N)) (/ 1 (sqrt N)) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (sqrt (- 1.0 (/ 0.5 N))) 1 (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 1 1 (/ 1 N) (/ 1 (/ N (- (pow 1.0 3) (pow (/ 0.5 N) 3)))) (* (/ 1 N) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N)))) (/ N (- 1.0 (/ 0.5 N))) (/ N (- 1.0 (/ 0.5 N))) (/ N (- 1.0 (/ 0.5 N))) (/ 1 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)) (- (+ (* 2.0 (pow N 2)) (+ (* 8.0 (pow N 4)) (* 4.0 (pow N 3))))) (+ (/ 0.25 N) (+ (* 1.0 N) 0.5)) (+ (/ 0.25 N) (+ (* 1.0 N) 0.5)) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) 7.633 * * * [progress]: adding candidates to table 8.279 * * [progress]: iteration 4 / 4 8.279 * * * [progress]: picking best candidate 8.285 * * * * [pick]: Picked # 8.285 * * * [progress]: localizing error 8.291 * * * [progress]: generating rewritten candidates 8.291 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 8.297 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 8.332 * * * [progress]: generating series expansions 8.332 * * * * [progress]: [ 1 / 2 ] generating series at (2) 8.332 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 8.332 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 8.332 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 8.332 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.332 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.332 * [taylor]: Taking taylor expansion of N in N 8.333 * [backup-simplify]: Simplify 0 into 0 8.333 * [backup-simplify]: Simplify 1 into 1 8.333 * [taylor]: Taking taylor expansion of 1.0 in N 8.333 * [backup-simplify]: Simplify 1.0 into 1.0 8.333 * [taylor]: Taking taylor expansion of N in N 8.333 * [backup-simplify]: Simplify 0 into 0 8.333 * [backup-simplify]: Simplify 1 into 1 8.333 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.334 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.334 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.334 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 8.334 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.334 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.334 * [taylor]: Taking taylor expansion of N in N 8.335 * [backup-simplify]: Simplify 0 into 0 8.335 * [backup-simplify]: Simplify 1 into 1 8.335 * [taylor]: Taking taylor expansion of 1.0 in N 8.335 * [backup-simplify]: Simplify 1.0 into 1.0 8.335 * [taylor]: Taking taylor expansion of N in N 8.335 * [backup-simplify]: Simplify 0 into 0 8.335 * [backup-simplify]: Simplify 1 into 1 8.335 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.336 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.336 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.337 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 8.337 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 8.338 * [backup-simplify]: Simplify (+ 1 0) into 1 8.339 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 8.344 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 8.344 * [backup-simplify]: Simplify 1.0 into 1.0 8.345 * [backup-simplify]: Simplify (+ 0 0) into 0 8.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.355 * [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)) 8.361 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 8.362 * [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))) 8.362 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 8.362 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 8.362 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 8.362 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.362 * [taylor]: Taking taylor expansion of N in N 8.362 * [backup-simplify]: Simplify 0 into 0 8.363 * [backup-simplify]: Simplify 1 into 1 8.363 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.363 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.363 * [taylor]: Taking taylor expansion of N in N 8.363 * [backup-simplify]: Simplify 0 into 0 8.363 * [backup-simplify]: Simplify 1 into 1 8.363 * [backup-simplify]: Simplify (/ 1 1) into 1 8.363 * [taylor]: Taking taylor expansion of 1.0 in N 8.363 * [backup-simplify]: Simplify 1.0 into 1.0 8.363 * [backup-simplify]: Simplify (+ 1 0) into 1 8.363 * [backup-simplify]: Simplify (* 0 1) into 0 8.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.364 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.364 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 8.365 * [backup-simplify]: Simplify (log 1) into 0 8.365 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 8.365 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.365 * [taylor]: Taking taylor expansion of N in N 8.365 * [backup-simplify]: Simplify 0 into 0 8.365 * [backup-simplify]: Simplify 1 into 1 8.365 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.365 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.365 * [taylor]: Taking taylor expansion of N in N 8.365 * [backup-simplify]: Simplify 0 into 0 8.365 * [backup-simplify]: Simplify 1 into 1 8.365 * [backup-simplify]: Simplify (/ 1 1) into 1 8.365 * [taylor]: Taking taylor expansion of 1.0 in N 8.365 * [backup-simplify]: Simplify 1.0 into 1.0 8.365 * [backup-simplify]: Simplify (+ 1 0) into 1 8.366 * [backup-simplify]: Simplify (* 0 1) into 0 8.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.366 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.367 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 8.367 * [backup-simplify]: Simplify (log 1) into 0 8.367 * [backup-simplify]: Simplify 0 into 0 8.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.368 * [backup-simplify]: Simplify (+ 0 0) into 0 8.369 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 8.373 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 8.373 * [backup-simplify]: Simplify 1.0 into 1.0 8.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.374 * [backup-simplify]: Simplify (+ 0 0) into 0 8.375 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 8.381 * [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 8.381 * [backup-simplify]: Simplify -0.5 into -0.5 8.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.382 * [backup-simplify]: Simplify (+ 0 0) into 0 8.383 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 8.393 * [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 8.393 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.393 * [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)))) 8.393 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 8.393 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 8.393 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 8.393 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.393 * [taylor]: Taking taylor expansion of -1 in N 8.393 * [backup-simplify]: Simplify -1 into -1 8.393 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.393 * [taylor]: Taking taylor expansion of N in N 8.393 * [backup-simplify]: Simplify 0 into 0 8.393 * [backup-simplify]: Simplify 1 into 1 8.393 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.393 * [taylor]: Taking taylor expansion of 1.0 in N 8.394 * [backup-simplify]: Simplify 1.0 into 1.0 8.394 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.394 * [taylor]: Taking taylor expansion of N in N 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify 1 into 1 8.394 * [backup-simplify]: Simplify (/ 1 1) into 1 8.394 * [backup-simplify]: Simplify (- 1) into -1 8.394 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.395 * [backup-simplify]: Simplify (* 0 -1) into 0 8.395 * [backup-simplify]: Simplify (* -1 0) into 0 8.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.395 * [backup-simplify]: Simplify (- 0) into 0 8.396 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.396 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.397 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.397 * [backup-simplify]: Simplify (log 1) into 0 8.397 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 8.397 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.397 * [taylor]: Taking taylor expansion of -1 in N 8.397 * [backup-simplify]: Simplify -1 into -1 8.397 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.397 * [taylor]: Taking taylor expansion of N in N 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 1 into 1 8.397 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.397 * [taylor]: Taking taylor expansion of 1.0 in N 8.397 * [backup-simplify]: Simplify 1.0 into 1.0 8.397 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.397 * [taylor]: Taking taylor expansion of N in N 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 1 into 1 8.397 * [backup-simplify]: Simplify (/ 1 1) into 1 8.398 * [backup-simplify]: Simplify (- 1) into -1 8.398 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.398 * [backup-simplify]: Simplify (* 0 -1) into 0 8.398 * [backup-simplify]: Simplify (* -1 0) into 0 8.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.399 * [backup-simplify]: Simplify (- 0) into 0 8.400 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.401 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.401 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.402 * [backup-simplify]: Simplify (log 1) into 0 8.402 * [backup-simplify]: Simplify 0 into 0 8.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.403 * [backup-simplify]: Simplify (- 0) into 0 8.403 * [backup-simplify]: Simplify (+ 0 0) into 0 8.406 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 8.408 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 8.416 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 8.416 * [backup-simplify]: Simplify -1.0 into -1.0 8.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.417 * [backup-simplify]: Simplify (- 0) into 0 8.418 * [backup-simplify]: Simplify (+ 0 0) into 0 8.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 8.420 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 8.434 * [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 8.434 * [backup-simplify]: Simplify -0.5 into -0.5 8.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.435 * [backup-simplify]: Simplify (- 0) into 0 8.435 * [backup-simplify]: Simplify (+ 0 0) into 0 8.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 8.438 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 8.459 * [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 8.459 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 8.459 * [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)))) 8.459 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 8.460 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 8.460 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 8.460 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.460 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.460 * [taylor]: Taking taylor expansion of N in N 8.460 * [backup-simplify]: Simplify 0 into 0 8.460 * [backup-simplify]: Simplify 1 into 1 8.460 * [taylor]: Taking taylor expansion of 1.0 in N 8.460 * [backup-simplify]: Simplify 1.0 into 1.0 8.460 * [taylor]: Taking taylor expansion of N in N 8.460 * [backup-simplify]: Simplify 0 into 0 8.460 * [backup-simplify]: Simplify 1 into 1 8.460 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.461 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.461 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.461 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.461 * [taylor]: Taking taylor expansion of N in N 8.461 * [backup-simplify]: Simplify 0 into 0 8.461 * [backup-simplify]: Simplify 1 into 1 8.461 * [taylor]: Taking taylor expansion of 1.0 in N 8.461 * [backup-simplify]: Simplify 1.0 into 1.0 8.461 * [taylor]: Taking taylor expansion of N in N 8.461 * [backup-simplify]: Simplify 0 into 0 8.461 * [backup-simplify]: Simplify 1 into 1 8.462 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.462 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.462 * [backup-simplify]: Simplify 1.0 into 1.0 8.463 * [backup-simplify]: Simplify (+ 1 0) into 1 8.464 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 8.464 * [backup-simplify]: Simplify 1 into 1 8.464 * [backup-simplify]: Simplify (+ 0 0) into 0 8.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.465 * [backup-simplify]: Simplify 0 into 0 8.466 * [backup-simplify]: Simplify (+ 0 0) into 0 8.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.467 * [backup-simplify]: Simplify 0 into 0 8.467 * [backup-simplify]: Simplify (+ 0 0) into 0 8.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.469 * [backup-simplify]: Simplify 0 into 0 8.469 * [backup-simplify]: Simplify (+ 0 0) into 0 8.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.470 * [backup-simplify]: Simplify 0 into 0 8.471 * [backup-simplify]: Simplify (+ 0 0) into 0 8.472 * [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 8.472 * [backup-simplify]: Simplify 0 into 0 8.472 * [backup-simplify]: Simplify (+ 0 0) into 0 8.474 * [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 8.474 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 8.474 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 8.474 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 8.474 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.474 * [taylor]: Taking taylor expansion of N in N 8.474 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify 1 into 1 8.474 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.474 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.474 * [taylor]: Taking taylor expansion of N in N 8.474 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify 1 into 1 8.475 * [backup-simplify]: Simplify (/ 1 1) into 1 8.475 * [taylor]: Taking taylor expansion of 1.0 in N 8.475 * [backup-simplify]: Simplify 1.0 into 1.0 8.475 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.475 * [taylor]: Taking taylor expansion of N in N 8.475 * [backup-simplify]: Simplify 0 into 0 8.475 * [backup-simplify]: Simplify 1 into 1 8.475 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.475 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.475 * [taylor]: Taking taylor expansion of N in N 8.475 * [backup-simplify]: Simplify 0 into 0 8.475 * [backup-simplify]: Simplify 1 into 1 8.475 * [backup-simplify]: Simplify (/ 1 1) into 1 8.475 * [taylor]: Taking taylor expansion of 1.0 in N 8.475 * [backup-simplify]: Simplify 1.0 into 1.0 8.476 * [backup-simplify]: Simplify (+ 1 0) into 1 8.476 * [backup-simplify]: Simplify (* 0 1) into 0 8.476 * [backup-simplify]: Simplify 0 into 0 8.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.477 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.478 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 8.478 * [backup-simplify]: Simplify 1 into 1 8.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.488 * [backup-simplify]: Simplify (+ 0 0) into 0 8.491 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 8.491 * [backup-simplify]: Simplify 1.0 into 1.0 8.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.492 * [backup-simplify]: Simplify (+ 0 0) into 0 8.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 8.494 * [backup-simplify]: Simplify 0 into 0 8.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.495 * [backup-simplify]: Simplify (+ 0 0) into 0 8.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.498 * [backup-simplify]: Simplify (+ 0 0) into 0 8.499 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 8.499 * [backup-simplify]: Simplify 0 into 0 8.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.501 * [backup-simplify]: Simplify (+ 0 0) into 0 8.503 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 8.503 * [backup-simplify]: Simplify 0 into 0 8.504 * [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 8.504 * [backup-simplify]: Simplify (+ 0 0) into 0 8.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 8.506 * [backup-simplify]: Simplify 0 into 0 8.507 * [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 8.507 * [backup-simplify]: Simplify (+ 0 0) into 0 8.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 8.510 * [backup-simplify]: Simplify 0 into 0 8.510 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 8.510 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 8.510 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 8.510 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.510 * [taylor]: Taking taylor expansion of -1 in N 8.510 * [backup-simplify]: Simplify -1 into -1 8.510 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.510 * [taylor]: Taking taylor expansion of N in N 8.510 * [backup-simplify]: Simplify 0 into 0 8.510 * [backup-simplify]: Simplify 1 into 1 8.510 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.510 * [taylor]: Taking taylor expansion of 1.0 in N 8.511 * [backup-simplify]: Simplify 1.0 into 1.0 8.511 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.511 * [taylor]: Taking taylor expansion of N in N 8.511 * [backup-simplify]: Simplify 0 into 0 8.511 * [backup-simplify]: Simplify 1 into 1 8.511 * [backup-simplify]: Simplify (/ 1 1) into 1 8.511 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.511 * [taylor]: Taking taylor expansion of -1 in N 8.511 * [backup-simplify]: Simplify -1 into -1 8.511 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.511 * [taylor]: Taking taylor expansion of N in N 8.511 * [backup-simplify]: Simplify 0 into 0 8.511 * [backup-simplify]: Simplify 1 into 1 8.511 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.511 * [taylor]: Taking taylor expansion of 1.0 in N 8.511 * [backup-simplify]: Simplify 1.0 into 1.0 8.511 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.511 * [taylor]: Taking taylor expansion of N in N 8.511 * [backup-simplify]: Simplify 0 into 0 8.511 * [backup-simplify]: Simplify 1 into 1 8.512 * [backup-simplify]: Simplify (/ 1 1) into 1 8.512 * [backup-simplify]: Simplify (- 1) into -1 8.513 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.513 * [backup-simplify]: Simplify (* 0 -1) into 0 8.514 * [backup-simplify]: Simplify (* -1 0) into 0 8.514 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.515 * [backup-simplify]: Simplify (- 0) into 0 8.515 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.516 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.517 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.517 * [backup-simplify]: Simplify 1 into 1 8.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.518 * [backup-simplify]: Simplify (- 0) into 0 8.518 * [backup-simplify]: Simplify (+ 0 0) into 0 8.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 8.524 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 8.524 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.526 * [backup-simplify]: Simplify (- 0) into 0 8.526 * [backup-simplify]: Simplify (+ 0 0) into 0 8.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 8.529 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 8.529 * [backup-simplify]: Simplify 0 into 0 8.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.530 * [backup-simplify]: Simplify (- 0) into 0 8.531 * [backup-simplify]: Simplify (+ 0 0) into 0 8.532 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 8.534 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 8.534 * [backup-simplify]: Simplify 0 into 0 8.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.535 * [backup-simplify]: Simplify (- 0) into 0 8.535 * [backup-simplify]: Simplify (+ 0 0) into 0 8.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 8.539 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 8.539 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.540 * [backup-simplify]: Simplify (- 0) into 0 8.541 * [backup-simplify]: Simplify (+ 0 0) into 0 8.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 8.544 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 8.544 * [backup-simplify]: Simplify 0 into 0 8.545 * [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 8.546 * [backup-simplify]: Simplify (- 0) into 0 8.546 * [backup-simplify]: Simplify (+ 0 0) into 0 8.548 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 8.550 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 8.550 * [backup-simplify]: Simplify 0 into 0 8.551 * [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 8.552 * [backup-simplify]: Simplify (- 0) into 0 8.552 * [backup-simplify]: Simplify (+ 0 0) into 0 8.554 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 8.557 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 8.557 * [backup-simplify]: Simplify 0 into 0 8.558 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 8.558 * * * [progress]: simplifying candidates 8.560 * [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) 8.562 * * [simplify]: Extracting # 0 : cost 0 8.562 * * [simplify]: Extracting # 1 : cost 0 8.562 * * [simplify]: Extracting # 2 : cost 0 8.562 * * [simplify]: Extracting # 3 : cost 0 8.563 * * [simplify]: Extracting # 4 : cost 0 8.563 * * [simplify]: Extracting # 5 : cost 0 8.563 * * [simplify]: Extracting # 6 : cost 0 8.564 * * [simplify]: Extracting # 7 : cost 0 8.564 * * [simplify]: Extracting # 8 : cost 0 8.564 * * [simplify]: Extracting # 9 : cost 0 8.564 * * [simplify]: Extracting # 10 : cost 0 8.565 * * [simplify]: iteration 0 : 108 enodes (cost 723 ) 8.603 * * [simplify]: Extracting # 0 : cost 0 8.604 * * [simplify]: Extracting # 1 : cost 0 8.604 * * [simplify]: Extracting # 2 : cost 0 8.604 * * [simplify]: Extracting # 3 : cost 0 8.604 * * [simplify]: Extracting # 4 : cost 0 8.605 * * [simplify]: iteration 1 : 232 enodes (cost 690 ) 8.689 * * [simplify]: Extracting # 0 : cost 0 8.689 * * [simplify]: Extracting # 1 : cost 0 8.690 * * [simplify]: Extracting # 2 : cost 0 8.691 * * [simplify]: Extracting # 3 : cost 0 8.691 * * [simplify]: Extracting # 4 : cost 0 8.692 * * [simplify]: iteration 2 : 583 enodes (cost 637 ) 8.962 * * [simplify]: Extracting # 0 : cost 0 8.965 * * [simplify]: Extracting # 1 : cost 0 8.967 * * [simplify]: Extracting # 2 : cost 0 8.970 * * [simplify]: Extracting # 3 : cost 0 8.973 * * [simplify]: Extracting # 4 : cost 0 8.982 * * [simplify]: iteration 3 : 1417 enodes (cost 624 ) 10.305 * * [simplify]: Extracting # 0 : cost 0 10.316 * * [simplify]: Extracting # 1 : cost 0 10.323 * * [simplify]: Extracting # 2 : cost 0 10.329 * * [simplify]: Extracting # 3 : cost 0 10.336 * * [simplify]: Extracting # 4 : cost 0 10.342 * * [simplify]: iteration 4 : 3874 enodes (cost 622 ) 11.908 * * [simplify]: Extracting # 0 : cost 0 11.913 * * [simplify]: Extracting # 1 : cost 0 11.918 * * [simplify]: Extracting # 2 : cost 0 11.923 * * [simplify]: iteration done: 5001 enodes (cost 622 ) 11.924 * [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) 11.925 * * * [progress]: adding candidates to table 12.116 * [progress]: [Phase 3 of 3] Extracting. 12.116 * * [regime]: Finding splitpoints for: (# # # #) 12.116 * * * [regime-changes]: Trying 1 branch expressions: (N) 12.116 * * * * [regimes]: Trying to branch on N from (# # # #) 12.157 * * * [regime]: Found split indices: #