20.673 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.083 * * * [progress]: [2/2] Setting up program. 0.085 * [progress]: [Phase 2 of 3] Improving. 0.086 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.086 * * [simplify]: Extracting # 0 : cost 0 0.086 * * [simplify]: Extracting # 1 : cost 0 0.086 * * [simplify]: Extracting # 2 : cost 0 0.086 * * [simplify]: Extracting # 3 : cost 0 0.086 * * [simplify]: Extracting # 4 : cost 0 0.086 * * [simplify]: Extracting # 5 : cost 0 0.086 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.087 * * [simplify]: Extracting # 0 : cost 0 0.087 * * [simplify]: Extracting # 1 : cost 0 0.087 * * [simplify]: Extracting # 2 : cost 0 0.087 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.088 * * [simplify]: Extracting # 0 : cost 0 0.088 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.089 * * [simplify]: Extracting # 0 : cost 0 0.089 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.089 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.090 * * [progress]: iteration 1 / 4 0.090 * * * [progress]: picking best candidate 0.091 * * * * [pick]: Picked # 0.092 * * * [progress]: localizing error 0.099 * * * [progress]: generating rewritten candidates 0.099 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.104 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.119 * * * [progress]: generating series expansions 0.119 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.119 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.119 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.119 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.119 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in N 0.119 * [backup-simplify]: Simplify 1.0 into 1.0 0.134 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.134 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.134 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.134 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.134 * [taylor]: Taking taylor expansion of N in N 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.135 * [taylor]: Taking taylor expansion of 1.0 in N 0.135 * [backup-simplify]: Simplify 1.0 into 1.0 0.135 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.135 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.136 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.136 * [backup-simplify]: Simplify (+ 1 0) into 1 0.140 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.140 * [backup-simplify]: Simplify 1.0 into 1.0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [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)) 0.147 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.148 * [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)))) 0.148 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.148 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.148 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.148 * [taylor]: Taking taylor expansion of N in N 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [taylor]: Taking taylor expansion of 1.0 in N 0.148 * [backup-simplify]: Simplify 1.0 into 1.0 0.149 * [backup-simplify]: Simplify (+ 1 0) into 1 0.149 * [backup-simplify]: Simplify (log 1) into 0 0.149 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.149 * [taylor]: Taking taylor expansion of N in N 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [taylor]: Taking taylor expansion of 1.0 in N 0.149 * [backup-simplify]: Simplify 1.0 into 1.0 0.150 * [backup-simplify]: Simplify (+ 1 0) into 1 0.150 * [backup-simplify]: Simplify (log 1) into 0 0.151 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.151 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.158 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.158 * [backup-simplify]: Simplify 1.0 into 1.0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [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 0.172 * [backup-simplify]: Simplify -0.5 into -0.5 0.172 * [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)))) 0.172 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.172 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.172 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.172 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.172 * [taylor]: Taking taylor expansion of 1.0 in N 0.172 * [backup-simplify]: Simplify 1.0 into 1.0 0.172 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [backup-simplify]: Simplify (- 1) into -1 0.174 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.174 * [backup-simplify]: Simplify (log -1) into (log -1) 0.174 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.174 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.174 * [taylor]: Taking taylor expansion of 1.0 in N 0.174 * [backup-simplify]: Simplify 1.0 into 1.0 0.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [backup-simplify]: Simplify (- 1) into -1 0.175 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.176 * [backup-simplify]: Simplify (log -1) into (log -1) 0.177 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.177 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (- 0) into 0 0.178 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.185 * [backup-simplify]: Simplify -1.0 into -1.0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [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 -0.5 into -0.5 0.195 * [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)))) 0.195 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.195 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.195 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.195 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.195 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.195 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.195 * [taylor]: Taking taylor expansion of N in N 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [taylor]: Taking taylor expansion of 1.0 in N 0.195 * [backup-simplify]: Simplify 1.0 into 1.0 0.195 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.196 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.196 * [taylor]: Taking taylor expansion of (log N) in N 0.196 * [taylor]: Taking taylor expansion of N in N 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (log 1) into 0 0.196 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.196 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.196 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.196 * [taylor]: Taking taylor expansion of N in N 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of 1.0 in N 0.196 * [backup-simplify]: Simplify 1.0 into 1.0 0.196 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.197 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.197 * [taylor]: Taking taylor expansion of (log N) in N 0.197 * [taylor]: Taking taylor expansion of N in N 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (log 1) into 0 0.197 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.197 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.198 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.198 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.198 * [backup-simplify]: Simplify (+ 1 0) into 1 0.201 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.202 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.202 * [backup-simplify]: Simplify (- 0) into 0 0.203 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.203 * [backup-simplify]: Simplify 1.0 into 1.0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [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)) 0.210 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.210 * [backup-simplify]: Simplify (- 0) into 0 0.212 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.213 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.215 * [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))) 0.215 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.215 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.215 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.216 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 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 * [taylor]: Taking taylor expansion of 1.0 in N 0.216 * [backup-simplify]: Simplify 1.0 into 1.0 0.216 * [backup-simplify]: Simplify (+ 1 0) into 1 0.216 * [backup-simplify]: Simplify (log 1) into 0 0.216 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 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 0.217 * [backup-simplify]: Simplify (/ 1 1) into 1 0.217 * [backup-simplify]: Simplify (log 1) into 0 0.217 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.217 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.217 * [taylor]: Taking taylor expansion of (/ 1 N) in N 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 * [taylor]: Taking taylor expansion of 1.0 in N 0.218 * [backup-simplify]: Simplify 1.0 into 1.0 0.218 * [backup-simplify]: Simplify (+ 1 0) into 1 0.218 * [backup-simplify]: Simplify (log 1) into 0 0.218 * [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 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 0.219 * [backup-simplify]: Simplify (log 1) into 0 0.220 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.220 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.220 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.221 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.228 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.231 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.231 * [backup-simplify]: Simplify 1.0 into 1.0 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [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 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.252 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [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 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.279 * [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 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.280 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.281 * [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)))) 0.282 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.282 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.282 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.282 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.282 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.282 * [taylor]: Taking taylor expansion of 1.0 in N 0.282 * [backup-simplify]: Simplify 1.0 into 1.0 0.282 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.282 * [taylor]: Taking taylor expansion of N in N 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [backup-simplify]: Simplify (- 1) into -1 0.283 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.284 * [backup-simplify]: Simplify (log -1) into (log -1) 0.284 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.284 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.284 * [taylor]: Taking taylor expansion of -1 in N 0.284 * [backup-simplify]: Simplify -1 into -1 0.284 * [taylor]: Taking taylor expansion of N in N 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ -1 1) into -1 0.285 * [backup-simplify]: Simplify (log -1) into (log -1) 0.285 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.285 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.285 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.285 * [taylor]: Taking taylor expansion of 1.0 in N 0.285 * [backup-simplify]: Simplify 1.0 into 1.0 0.285 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.285 * [taylor]: Taking taylor expansion of N in N 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [backup-simplify]: Simplify (- 1) into -1 0.286 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.286 * [backup-simplify]: Simplify (log -1) into (log -1) 0.286 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.286 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.286 * [taylor]: Taking taylor expansion of -1 in N 0.286 * [backup-simplify]: Simplify -1 into -1 0.286 * [taylor]: Taking taylor expansion of N in N 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (/ -1 1) into -1 0.287 * [backup-simplify]: Simplify (log -1) into (log -1) 0.287 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.288 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.288 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.289 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.290 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.294 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.296 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [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 0.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.307 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (- 0) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [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 0.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [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 0.333 * [backup-simplify]: Simplify (- 0) into 0 0.333 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.333 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.335 * [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)))) 0.335 * * * [progress]: simplifying candidates 0.335 * [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)))) 0.336 * * [simplify]: Extracting # 0 : cost 0 0.336 * * [simplify]: Extracting # 1 : cost 0 0.336 * * [simplify]: Extracting # 2 : cost 0 0.337 * * [simplify]: Extracting # 3 : cost 0 0.337 * * [simplify]: Extracting # 4 : cost 0 0.337 * * [simplify]: Extracting # 5 : cost 0 0.337 * * [simplify]: Extracting # 6 : cost 0 0.337 * * [simplify]: Extracting # 7 : cost 0 0.337 * * [simplify]: iteration 0 : 101 enodes (cost 510 ) 0.358 * * [simplify]: Extracting # 0 : cost 0 0.359 * * [simplify]: Extracting # 1 : cost 0 0.359 * * [simplify]: Extracting # 2 : cost 0 0.359 * * [simplify]: Extracting # 3 : cost 0 0.359 * * [simplify]: Extracting # 4 : cost 0 0.360 * * [simplify]: iteration 1 : 213 enodes (cost 488 ) 0.446 * * [simplify]: Extracting # 0 : cost 0 0.447 * * [simplify]: Extracting # 1 : cost 0 0.448 * * [simplify]: Extracting # 2 : cost 0 0.449 * * [simplify]: Extracting # 3 : cost 0 0.449 * * [simplify]: Extracting # 4 : cost 0 0.451 * * [simplify]: iteration 2 : 643 enodes (cost 445 ) 0.916 * * [simplify]: Extracting # 0 : cost 0 0.921 * * [simplify]: Extracting # 1 : cost 0 0.934 * * [simplify]: Extracting # 2 : cost 0 0.940 * * [simplify]: Extracting # 3 : cost 0 0.944 * * [simplify]: Extracting # 4 : cost 0 0.947 * * [simplify]: iteration 3 : 2849 enodes (cost 443 ) 1.884 * * [simplify]: Extracting # 0 : cost 0 1.901 * * [simplify]: Extracting # 1 : cost 0 1.912 * * [simplify]: Extracting # 2 : cost 0 1.923 * * [simplify]: Extracting # 3 : cost 0 1.940 * * [simplify]: Extracting # 4 : cost 0 1.946 * * [simplify]: iteration done: 5001 enodes (cost 438 ) 1.946 * [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) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (* N 1.0)) (+ (/ 1.0 N) (- (log N) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (log N) (/ 0.5 (* N N)))) (- (+ (* 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))) 1.947 * * * [progress]: adding candidates to table 2.085 * * [progress]: iteration 2 / 4 2.085 * * * [progress]: picking best candidate 2.095 * * * * [pick]: Picked # 2.095 * * * [progress]: localizing error 2.110 * * * [progress]: generating rewritten candidates 2.110 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.122 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.163 * * * [progress]: generating series expansions 2.163 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.163 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 2.163 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 2.163 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.163 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.163 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.163 * [taylor]: Taking taylor expansion of N in N 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [taylor]: Taking taylor expansion of 1.0 in N 2.163 * [backup-simplify]: Simplify 1.0 into 1.0 2.163 * [taylor]: Taking taylor expansion of N in N 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.164 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.165 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.165 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.165 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.165 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.165 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.165 * [taylor]: Taking taylor expansion of N in N 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.165 * [taylor]: Taking taylor expansion of 1.0 in N 2.165 * [backup-simplify]: Simplify 1.0 into 1.0 2.165 * [taylor]: Taking taylor expansion of N in N 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.166 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.166 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.167 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.168 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.168 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 2.168 * [backup-simplify]: Simplify (+ 1 0) into 1 2.170 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.175 * [backup-simplify]: Simplify 1.0 into 1.0 2.176 * [backup-simplify]: Simplify (+ 0 0) into 0 2.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.188 * [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)) 2.189 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 2.191 * [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))) 2.192 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 2.192 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 2.192 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.192 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.192 * [taylor]: Taking taylor expansion of N in N 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 1 into 1 2.192 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.192 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.192 * [taylor]: Taking taylor expansion of N in N 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 1 into 1 2.192 * [backup-simplify]: Simplify (/ 1 1) into 1 2.193 * [taylor]: Taking taylor expansion of 1.0 in N 2.193 * [backup-simplify]: Simplify 1.0 into 1.0 2.193 * [backup-simplify]: Simplify (+ 1 0) into 1 2.194 * [backup-simplify]: Simplify (* 0 1) into 0 2.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.195 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.195 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.196 * [backup-simplify]: Simplify (log 1) into 0 2.196 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.196 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.196 * [taylor]: Taking taylor expansion of N in N 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 1 into 1 2.196 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.196 * [taylor]: Taking taylor expansion of N in N 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 1 into 1 2.196 * [backup-simplify]: Simplify (/ 1 1) into 1 2.196 * [taylor]: Taking taylor expansion of 1.0 in N 2.196 * [backup-simplify]: Simplify 1.0 into 1.0 2.197 * [backup-simplify]: Simplify (+ 1 0) into 1 2.197 * [backup-simplify]: Simplify (* 0 1) into 0 2.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.198 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.199 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.199 * [backup-simplify]: Simplify (log 1) into 0 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.201 * [backup-simplify]: Simplify (+ 0 0) into 0 2.203 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.209 * [backup-simplify]: Simplify 1.0 into 1.0 2.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.211 * [backup-simplify]: Simplify (+ 0 0) into 0 2.212 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.221 * [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 2.221 * [backup-simplify]: Simplify -0.5 into -0.5 2.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.222 * [backup-simplify]: Simplify (+ 0 0) into 0 2.223 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.605 * [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 2.606 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.607 * [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)))) 2.607 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 2.608 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 2.608 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.608 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.608 * [taylor]: Taking taylor expansion of -1 in N 2.608 * [backup-simplify]: Simplify -1 into -1 2.608 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.608 * [taylor]: Taking taylor expansion of N in N 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify 1 into 1 2.608 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.608 * [taylor]: Taking taylor expansion of 1.0 in N 2.608 * [backup-simplify]: Simplify 1.0 into 1.0 2.608 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.608 * [taylor]: Taking taylor expansion of N in N 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify 1 into 1 2.609 * [backup-simplify]: Simplify (/ 1 1) into 1 2.609 * [backup-simplify]: Simplify (- 1) into -1 2.610 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.610 * [backup-simplify]: Simplify (* 0 -1) into 0 2.611 * [backup-simplify]: Simplify (* -1 0) into 0 2.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.612 * [backup-simplify]: Simplify (- 0) into 0 2.612 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.613 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.614 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.614 * [backup-simplify]: Simplify (log 1) into 0 2.614 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.615 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.615 * [taylor]: Taking taylor expansion of -1 in N 2.615 * [backup-simplify]: Simplify -1 into -1 2.615 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.615 * [taylor]: Taking taylor expansion of N in N 2.615 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify 1 into 1 2.615 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.615 * [taylor]: Taking taylor expansion of 1.0 in N 2.615 * [backup-simplify]: Simplify 1.0 into 1.0 2.615 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.615 * [taylor]: Taking taylor expansion of N in N 2.615 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify 1 into 1 2.615 * [backup-simplify]: Simplify (/ 1 1) into 1 2.616 * [backup-simplify]: Simplify (- 1) into -1 2.616 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.617 * [backup-simplify]: Simplify (* 0 -1) into 0 2.617 * [backup-simplify]: Simplify (* -1 0) into 0 2.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.618 * [backup-simplify]: Simplify (- 0) into 0 2.619 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.620 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.621 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.621 * [backup-simplify]: Simplify (log 1) into 0 2.621 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.622 * [backup-simplify]: Simplify (- 0) into 0 2.623 * [backup-simplify]: Simplify (+ 0 0) into 0 2.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.628 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.635 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 2.635 * [backup-simplify]: Simplify -1.0 into -1.0 2.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.637 * [backup-simplify]: Simplify (- 0) into 0 2.637 * [backup-simplify]: Simplify (+ 0 0) into 0 2.638 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.640 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.652 * [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 2.652 * [backup-simplify]: Simplify -0.5 into -0.5 2.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.654 * [backup-simplify]: Simplify (- 0) into 0 2.654 * [backup-simplify]: Simplify (+ 0 0) into 0 2.655 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.657 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.677 * [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 2.678 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.678 * [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)))) 2.678 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.678 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 2.678 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 2.678 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.678 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.679 * [taylor]: Taking taylor expansion of N in N 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 1 into 1 2.679 * [taylor]: Taking taylor expansion of 1.0 in N 2.679 * [backup-simplify]: Simplify 1.0 into 1.0 2.679 * [taylor]: Taking taylor expansion of N in N 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 1 into 1 2.679 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.680 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.680 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.680 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.680 * [taylor]: Taking taylor expansion of N in N 2.680 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify 1 into 1 2.680 * [taylor]: Taking taylor expansion of 1.0 in N 2.680 * [backup-simplify]: Simplify 1.0 into 1.0 2.680 * [taylor]: Taking taylor expansion of N in N 2.680 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify 1 into 1 2.680 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.681 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.681 * [backup-simplify]: Simplify 1.0 into 1.0 2.681 * [backup-simplify]: Simplify (+ 1 0) into 1 2.682 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.682 * [backup-simplify]: Simplify 1 into 1 2.683 * [backup-simplify]: Simplify (+ 0 0) into 0 2.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.684 * [backup-simplify]: Simplify 0 into 0 2.684 * [backup-simplify]: Simplify (+ 0 0) into 0 2.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.685 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify (+ 0 0) into 0 2.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify (+ 0 0) into 0 2.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify (+ 0 0) into 0 2.690 * [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 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify (+ 0 0) into 0 2.692 * [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 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 2.692 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 2.692 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 2.692 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.692 * [taylor]: Taking taylor expansion of N in N 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.692 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.692 * [taylor]: Taking taylor expansion of N in N 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.693 * [backup-simplify]: Simplify (/ 1 1) into 1 2.693 * [taylor]: Taking taylor expansion of 1.0 in N 2.693 * [backup-simplify]: Simplify 1.0 into 1.0 2.693 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.693 * [taylor]: Taking taylor expansion of N in N 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.693 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.693 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.693 * [taylor]: Taking taylor expansion of N in N 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.693 * [backup-simplify]: Simplify (/ 1 1) into 1 2.693 * [taylor]: Taking taylor expansion of 1.0 in N 2.693 * [backup-simplify]: Simplify 1.0 into 1.0 2.694 * [backup-simplify]: Simplify (+ 1 0) into 1 2.694 * [backup-simplify]: Simplify (* 0 1) into 0 2.694 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.696 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.696 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.696 * [backup-simplify]: Simplify 1 into 1 2.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.697 * [backup-simplify]: Simplify (+ 0 0) into 0 2.699 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.699 * [backup-simplify]: Simplify 1.0 into 1.0 2.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.700 * [backup-simplify]: Simplify (+ 0 0) into 0 2.700 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.701 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.701 * [backup-simplify]: Simplify (+ 0 0) into 0 2.702 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.702 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.703 * [backup-simplify]: Simplify (+ 0 0) into 0 2.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 2.704 * [backup-simplify]: Simplify 0 into 0 2.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.704 * [backup-simplify]: Simplify (+ 0 0) into 0 2.705 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 2.705 * [backup-simplify]: Simplify 0 into 0 2.706 * [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 2.706 * [backup-simplify]: Simplify (+ 0 0) into 0 2.707 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 2.707 * [backup-simplify]: Simplify 0 into 0 2.708 * [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 2.708 * [backup-simplify]: Simplify (+ 0 0) into 0 2.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.710 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 2.710 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 2.710 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.710 * [taylor]: Taking taylor expansion of -1 in N 2.710 * [backup-simplify]: Simplify -1 into -1 2.710 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.710 * [taylor]: Taking taylor expansion of N in N 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.710 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.710 * [taylor]: Taking taylor expansion of 1.0 in N 2.710 * [backup-simplify]: Simplify 1.0 into 1.0 2.710 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.710 * [taylor]: Taking taylor expansion of N in N 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.710 * [backup-simplify]: Simplify (/ 1 1) into 1 2.710 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.710 * [taylor]: Taking taylor expansion of -1 in N 2.710 * [backup-simplify]: Simplify -1 into -1 2.710 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.710 * [taylor]: Taking taylor expansion of N in N 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.710 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.710 * [taylor]: Taking taylor expansion of 1.0 in N 2.710 * [backup-simplify]: Simplify 1.0 into 1.0 2.710 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.710 * [taylor]: Taking taylor expansion of N in N 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify (/ 1 1) into 1 2.711 * [backup-simplify]: Simplify (- 1) into -1 2.711 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.711 * [backup-simplify]: Simplify (* 0 -1) into 0 2.712 * [backup-simplify]: Simplify (* -1 0) into 0 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.712 * [backup-simplify]: Simplify (- 0) into 0 2.713 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.713 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.713 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.713 * [backup-simplify]: Simplify 1 into 1 2.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.714 * [backup-simplify]: Simplify (- 0) into 0 2.714 * [backup-simplify]: Simplify (+ 0 0) into 0 2.716 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.717 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.717 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.718 * [backup-simplify]: Simplify (- 0) into 0 2.719 * [backup-simplify]: Simplify (+ 0 0) into 0 2.720 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.721 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.721 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.722 * [backup-simplify]: Simplify (- 0) into 0 2.723 * [backup-simplify]: Simplify (+ 0 0) into 0 2.724 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.726 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.727 * [backup-simplify]: Simplify (- 0) into 0 2.727 * [backup-simplify]: Simplify (+ 0 0) into 0 2.733 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.735 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 2.735 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.737 * [backup-simplify]: Simplify (- 0) into 0 2.737 * [backup-simplify]: Simplify (+ 0 0) into 0 2.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.741 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 2.741 * [backup-simplify]: Simplify 0 into 0 2.742 * [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 2.743 * [backup-simplify]: Simplify (- 0) into 0 2.743 * [backup-simplify]: Simplify (+ 0 0) into 0 2.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.747 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.749 * [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 2.749 * [backup-simplify]: Simplify (- 0) into 0 2.749 * [backup-simplify]: Simplify (+ 0 0) into 0 2.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 2.754 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.754 * * * [progress]: simplifying candidates 2.755 * [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) 2.757 * * [simplify]: Extracting # 0 : cost 0 2.757 * * [simplify]: Extracting # 1 : cost 0 2.757 * * [simplify]: Extracting # 2 : cost 0 2.757 * * [simplify]: Extracting # 3 : cost 0 2.757 * * [simplify]: Extracting # 4 : cost 0 2.757 * * [simplify]: Extracting # 5 : cost 0 2.757 * * [simplify]: Extracting # 6 : cost 0 2.758 * * [simplify]: Extracting # 7 : cost 0 2.758 * * [simplify]: Extracting # 8 : cost 0 2.758 * * [simplify]: Extracting # 9 : cost 0 2.758 * * [simplify]: Extracting # 10 : cost 0 2.758 * * [simplify]: iteration 0 : 108 enodes (cost 723 ) 2.783 * * [simplify]: Extracting # 0 : cost 0 2.783 * * [simplify]: Extracting # 1 : cost 0 2.784 * * [simplify]: Extracting # 2 : cost 0 2.784 * * [simplify]: Extracting # 3 : cost 0 2.784 * * [simplify]: iteration 1 : 243 enodes (cost 690 ) 2.908 * * [simplify]: Extracting # 0 : cost 0 2.911 * * [simplify]: Extracting # 1 : cost 0 2.914 * * [simplify]: Extracting # 2 : cost 0 2.916 * * [simplify]: Extracting # 3 : cost 0 2.919 * * [simplify]: iteration 2 : 1010 enodes (cost 637 ) 3.323 * * [simplify]: Extracting # 0 : cost 0 3.329 * * [simplify]: Extracting # 1 : cost 0 3.338 * * [simplify]: Extracting # 2 : cost 0 3.354 * * [simplify]: Extracting # 3 : cost 0 3.369 * * [simplify]: Extracting # 4 : cost 0 3.385 * * [simplify]: iteration done: 5000 enodes (cost 624 ) 3.386 * [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))) (/ (+ N 1.0) 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 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 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) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (+ (pow N 3) (* N (* 1.0 (- 1.0 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) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 3.387 * * * [progress]: adding candidates to table 3.525 * * [progress]: iteration 3 / 4 3.525 * * * [progress]: picking best candidate 3.528 * * * * [pick]: Picked # 3.528 * * * [progress]: localizing error 3.538 * * * [progress]: generating rewritten candidates 3.538 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.545 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.552 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.567 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.583 * * * [progress]: generating series expansions 3.583 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.583 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1.0) N))) into (log (sqrt (/ (+ N 1.0) N))) 3.583 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 3.583 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.583 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.583 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.583 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.583 * [taylor]: Taking taylor expansion of N in N 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify 1 into 1 3.583 * [taylor]: Taking taylor expansion of 1.0 in N 3.583 * [backup-simplify]: Simplify 1.0 into 1.0 3.583 * [taylor]: Taking taylor expansion of N in N 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify 1 into 1 3.584 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.584 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.584 * [backup-simplify]: Simplify (sqrt 0) into 0 3.585 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.586 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.586 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.586 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.586 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.586 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.586 * [taylor]: Taking taylor expansion of N in N 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 1 into 1 3.586 * [taylor]: Taking taylor expansion of 1.0 in N 3.586 * [backup-simplify]: Simplify 1.0 into 1.0 3.586 * [taylor]: Taking taylor expansion of N in N 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 1 into 1 3.586 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.587 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.587 * [backup-simplify]: Simplify (sqrt 0) into 0 3.588 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.588 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.588 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.589 * [backup-simplify]: Simplify (+ 1 0) into 1 3.589 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.591 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.595 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 3.595 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.595 * [backup-simplify]: Simplify (+ 0 0) into 0 3.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.607 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 3.607 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.608 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) 3.608 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 3.608 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 3.608 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.608 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.608 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.608 * [taylor]: Taking taylor expansion of N in N 3.608 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify 1 into 1 3.608 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.608 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.608 * [taylor]: Taking taylor expansion of N in N 3.608 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify 1 into 1 3.608 * [backup-simplify]: Simplify (/ 1 1) into 1 3.608 * [taylor]: Taking taylor expansion of 1.0 in N 3.608 * [backup-simplify]: Simplify 1.0 into 1.0 3.609 * [backup-simplify]: Simplify (+ 1 0) into 1 3.609 * [backup-simplify]: Simplify (* 0 1) into 0 3.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.610 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.610 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.610 * [backup-simplify]: Simplify (sqrt 1) into 1 3.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.611 * [backup-simplify]: Simplify (+ 0 0) into 0 3.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.613 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.614 * [backup-simplify]: Simplify (log 1) into 0 3.614 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.614 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.614 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.614 * [taylor]: Taking taylor expansion of N in N 3.614 * [backup-simplify]: Simplify 0 into 0 3.614 * [backup-simplify]: Simplify 1 into 1 3.614 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.614 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.614 * [taylor]: Taking taylor expansion of N in N 3.614 * [backup-simplify]: Simplify 0 into 0 3.614 * [backup-simplify]: Simplify 1 into 1 3.614 * [backup-simplify]: Simplify (/ 1 1) into 1 3.614 * [taylor]: Taking taylor expansion of 1.0 in N 3.614 * [backup-simplify]: Simplify 1.0 into 1.0 3.614 * [backup-simplify]: Simplify (+ 1 0) into 1 3.615 * [backup-simplify]: Simplify (* 0 1) into 0 3.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.615 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.616 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.616 * [backup-simplify]: Simplify (sqrt 1) into 1 3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.617 * [backup-simplify]: Simplify (+ 0 0) into 0 3.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.619 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.619 * [backup-simplify]: Simplify (log 1) into 0 3.619 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 3.623 * [backup-simplify]: Simplify 0.5 into 0.5 3.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.624 * [backup-simplify]: Simplify (+ 0 0) into 0 3.624 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.626 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.634 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 3.635 * [backup-simplify]: Simplify -0.25 into -0.25 3.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.635 * [backup-simplify]: Simplify (+ 0 0) into 0 3.636 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.639 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 3.656 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 3.657 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 3.657 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 3.657 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 3.657 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 3.657 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.657 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.657 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.657 * [taylor]: Taking taylor expansion of -1 in N 3.657 * [backup-simplify]: Simplify -1 into -1 3.657 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.657 * [taylor]: Taking taylor expansion of N in N 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify 1 into 1 3.657 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.657 * [taylor]: Taking taylor expansion of 1.0 in N 3.657 * [backup-simplify]: Simplify 1.0 into 1.0 3.657 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.657 * [taylor]: Taking taylor expansion of N in N 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify 1 into 1 3.658 * [backup-simplify]: Simplify (/ 1 1) into 1 3.658 * [backup-simplify]: Simplify (- 1) into -1 3.658 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.658 * [backup-simplify]: Simplify (* 0 -1) into 0 3.659 * [backup-simplify]: Simplify (* -1 0) into 0 3.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.659 * [backup-simplify]: Simplify (- 0) into 0 3.660 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.660 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.660 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.661 * [backup-simplify]: Simplify (sqrt 1) into 1 3.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.661 * [backup-simplify]: Simplify (- 0) into 0 3.662 * [backup-simplify]: Simplify (+ 0 0) into 0 3.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.664 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.665 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.666 * [backup-simplify]: Simplify (log 1) into 0 3.666 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.666 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.666 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.666 * [taylor]: Taking taylor expansion of -1 in N 3.666 * [backup-simplify]: Simplify -1 into -1 3.666 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.666 * [taylor]: Taking taylor expansion of N in N 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify 1 into 1 3.666 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.666 * [taylor]: Taking taylor expansion of 1.0 in N 3.666 * [backup-simplify]: Simplify 1.0 into 1.0 3.666 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.666 * [taylor]: Taking taylor expansion of N in N 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify 1 into 1 3.666 * [backup-simplify]: Simplify (/ 1 1) into 1 3.666 * [backup-simplify]: Simplify (- 1) into -1 3.667 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.667 * [backup-simplify]: Simplify (* 0 -1) into 0 3.667 * [backup-simplify]: Simplify (* -1 0) into 0 3.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.668 * [backup-simplify]: Simplify (- 0) into 0 3.668 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.668 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.669 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.669 * [backup-simplify]: Simplify (sqrt 1) into 1 3.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.670 * [backup-simplify]: Simplify (- 0) into 0 3.670 * [backup-simplify]: Simplify (+ 0 0) into 0 3.672 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.673 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.675 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.675 * [backup-simplify]: Simplify (log 1) into 0 3.675 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 3.681 * [backup-simplify]: Simplify -0.5 into -0.5 3.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.683 * [backup-simplify]: Simplify (- 0) into 0 3.683 * [backup-simplify]: Simplify (+ 0 0) into 0 3.684 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.686 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.689 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.702 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 3.702 * [backup-simplify]: Simplify -0.25 into -0.25 3.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 0) into 0 3.706 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.707 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.712 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 3.730 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0625) 1)) (pow 1 1)))) 6) into -0.16666666666666666 3.730 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 3.730 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 3)) (+ (* -0.25 (pow (/ 1 (- N)) 2)) (* -0.5 (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 3.731 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.731 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1.0) N))) into (log (sqrt (/ (+ N 1.0) N))) 3.731 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 3.731 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.731 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.731 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.731 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.732 * [taylor]: Taking taylor expansion of N in N 3.732 * [backup-simplify]: Simplify 0 into 0 3.732 * [backup-simplify]: Simplify 1 into 1 3.732 * [taylor]: Taking taylor expansion of 1.0 in N 3.732 * [backup-simplify]: Simplify 1.0 into 1.0 3.732 * [taylor]: Taking taylor expansion of N in N 3.732 * [backup-simplify]: Simplify 0 into 0 3.732 * [backup-simplify]: Simplify 1 into 1 3.732 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.732 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.733 * [backup-simplify]: Simplify (sqrt 0) into 0 3.734 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.734 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.734 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.734 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.734 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.734 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.734 * [taylor]: Taking taylor expansion of N in N 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 1 into 1 3.734 * [taylor]: Taking taylor expansion of 1.0 in N 3.734 * [backup-simplify]: Simplify 1.0 into 1.0 3.734 * [taylor]: Taking taylor expansion of N in N 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 1 into 1 3.735 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.735 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.735 * [backup-simplify]: Simplify (sqrt 0) into 0 3.736 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.736 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.737 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.737 * [backup-simplify]: Simplify (+ 1 0) into 1 3.738 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.740 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.743 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 3.743 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.743 * [backup-simplify]: Simplify (+ 0 0) into 0 3.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.762 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 3.762 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.763 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) 3.763 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 3.763 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 3.763 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.763 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.763 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.763 * [taylor]: Taking taylor expansion of N in N 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 1 into 1 3.763 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.763 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.763 * [taylor]: Taking taylor expansion of N in N 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 1 into 1 3.764 * [backup-simplify]: Simplify (/ 1 1) into 1 3.764 * [taylor]: Taking taylor expansion of 1.0 in N 3.764 * [backup-simplify]: Simplify 1.0 into 1.0 3.764 * [backup-simplify]: Simplify (+ 1 0) into 1 3.764 * [backup-simplify]: Simplify (* 0 1) into 0 3.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.766 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.766 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.767 * [backup-simplify]: Simplify (sqrt 1) into 1 3.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.768 * [backup-simplify]: Simplify (+ 0 0) into 0 3.770 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.772 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.772 * [backup-simplify]: Simplify (log 1) into 0 3.772 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.772 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.772 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.772 * [taylor]: Taking taylor expansion of N in N 3.772 * [backup-simplify]: Simplify 0 into 0 3.772 * [backup-simplify]: Simplify 1 into 1 3.772 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.772 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.772 * [taylor]: Taking taylor expansion of N in N 3.772 * [backup-simplify]: Simplify 0 into 0 3.772 * [backup-simplify]: Simplify 1 into 1 3.773 * [backup-simplify]: Simplify (/ 1 1) into 1 3.773 * [taylor]: Taking taylor expansion of 1.0 in N 3.773 * [backup-simplify]: Simplify 1.0 into 1.0 3.773 * [backup-simplify]: Simplify (+ 1 0) into 1 3.774 * [backup-simplify]: Simplify (* 0 1) into 0 3.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.775 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.776 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.776 * [backup-simplify]: Simplify (sqrt 1) into 1 3.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.777 * [backup-simplify]: Simplify (+ 0 0) into 0 3.780 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.781 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.781 * [backup-simplify]: Simplify (log 1) into 0 3.781 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 3.788 * [backup-simplify]: Simplify 0.5 into 0.5 3.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.789 * [backup-simplify]: Simplify (+ 0 0) into 0 3.790 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.793 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.808 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 3.808 * [backup-simplify]: Simplify -0.25 into -0.25 3.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.809 * [backup-simplify]: Simplify (+ 0 0) into 0 3.810 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 3.845 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 3.845 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 3.846 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 3.846 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 3.846 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 3.847 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.847 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.847 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.847 * [taylor]: Taking taylor expansion of -1 in N 3.847 * [backup-simplify]: Simplify -1 into -1 3.847 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.847 * [taylor]: Taking taylor expansion of N in N 3.847 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify 1 into 1 3.847 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.847 * [taylor]: Taking taylor expansion of 1.0 in N 3.847 * [backup-simplify]: Simplify 1.0 into 1.0 3.847 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.847 * [taylor]: Taking taylor expansion of N in N 3.847 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify 1 into 1 3.848 * [backup-simplify]: Simplify (/ 1 1) into 1 3.848 * [backup-simplify]: Simplify (- 1) into -1 3.849 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.849 * [backup-simplify]: Simplify (* 0 -1) into 0 3.850 * [backup-simplify]: Simplify (* -1 0) into 0 3.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.851 * [backup-simplify]: Simplify (- 0) into 0 3.851 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.852 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.853 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.853 * [backup-simplify]: Simplify (sqrt 1) into 1 3.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.854 * [backup-simplify]: Simplify (- 0) into 0 3.855 * [backup-simplify]: Simplify (+ 0 0) into 0 3.858 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.861 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.863 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.863 * [backup-simplify]: Simplify (log 1) into 0 3.863 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.863 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.863 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.863 * [taylor]: Taking taylor expansion of -1 in N 3.863 * [backup-simplify]: Simplify -1 into -1 3.864 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.864 * [taylor]: Taking taylor expansion of N in N 3.864 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify 1 into 1 3.864 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.864 * [taylor]: Taking taylor expansion of 1.0 in N 3.864 * [backup-simplify]: Simplify 1.0 into 1.0 3.864 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.864 * [taylor]: Taking taylor expansion of N in N 3.864 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify 1 into 1 3.864 * [backup-simplify]: Simplify (/ 1 1) into 1 3.865 * [backup-simplify]: Simplify (- 1) into -1 3.865 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.866 * [backup-simplify]: Simplify (* 0 -1) into 0 3.866 * [backup-simplify]: Simplify (* -1 0) into 0 3.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.867 * [backup-simplify]: Simplify (- 0) into 0 3.868 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.868 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.869 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.870 * [backup-simplify]: Simplify (sqrt 1) into 1 3.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.871 * [backup-simplify]: Simplify (- 0) into 0 3.872 * [backup-simplify]: Simplify (+ 0 0) into 0 3.875 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.878 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.879 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.880 * [backup-simplify]: Simplify (log 1) into 0 3.880 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 3.887 * [backup-simplify]: Simplify -0.5 into -0.5 3.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.888 * [backup-simplify]: Simplify (- 0) into 0 3.889 * [backup-simplify]: Simplify (+ 0 0) into 0 3.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.892 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.895 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.912 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 3.912 * [backup-simplify]: Simplify -0.25 into -0.25 3.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.913 * [backup-simplify]: Simplify (- 0) into 0 3.913 * [backup-simplify]: Simplify (+ 0 0) into 0 3.914 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.915 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.917 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 3.931 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0625) 1)) (pow 1 1)))) 6) into -0.16666666666666666 3.932 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 3.932 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 3)) (+ (* -0.25 (pow (/ 1 (- N)) 2)) (* -0.5 (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 3.932 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.932 * [backup-simplify]: Simplify (sqrt (/ (+ N 1.0) N)) into (sqrt (/ (+ N 1.0) N)) 3.932 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 3.932 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.932 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.932 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.932 * [taylor]: Taking taylor expansion of N in N 3.932 * [backup-simplify]: Simplify 0 into 0 3.932 * [backup-simplify]: Simplify 1 into 1 3.932 * [taylor]: Taking taylor expansion of 1.0 in N 3.932 * [backup-simplify]: Simplify 1.0 into 1.0 3.932 * [taylor]: Taking taylor expansion of N in N 3.932 * [backup-simplify]: Simplify 0 into 0 3.932 * [backup-simplify]: Simplify 1 into 1 3.933 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.933 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.933 * [backup-simplify]: Simplify (sqrt 0) into 0 3.934 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.934 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.934 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.934 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.934 * [taylor]: Taking taylor expansion of N in N 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify 1 into 1 3.934 * [taylor]: Taking taylor expansion of 1.0 in N 3.934 * [backup-simplify]: Simplify 1.0 into 1.0 3.934 * [taylor]: Taking taylor expansion of N in N 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify 1 into 1 3.935 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.935 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.935 * [backup-simplify]: Simplify (sqrt 0) into 0 3.936 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.936 * [backup-simplify]: Simplify 0 into 0 3.936 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.936 * [backup-simplify]: Simplify (+ 1 0) into 1 3.937 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.939 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.939 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.940 * [backup-simplify]: Simplify (+ 0 0) into 0 3.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.945 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.945 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) 3.946 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 3.946 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 3.946 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.946 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.946 * [taylor]: Taking taylor expansion of N in N 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 1 into 1 3.946 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.946 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.946 * [taylor]: Taking taylor expansion of N in N 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 1 into 1 3.947 * [backup-simplify]: Simplify (/ 1 1) into 1 3.947 * [taylor]: Taking taylor expansion of 1.0 in N 3.947 * [backup-simplify]: Simplify 1.0 into 1.0 3.947 * [backup-simplify]: Simplify (+ 1 0) into 1 3.947 * [backup-simplify]: Simplify (* 0 1) into 0 3.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.949 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.949 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.950 * [backup-simplify]: Simplify (sqrt 1) into 1 3.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.951 * [backup-simplify]: Simplify (+ 0 0) into 0 3.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.954 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.954 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.954 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.954 * [taylor]: Taking taylor expansion of N in N 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 1 into 1 3.955 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.955 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.955 * [taylor]: Taking taylor expansion of N in N 3.955 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify 1 into 1 3.955 * [backup-simplify]: Simplify (/ 1 1) into 1 3.955 * [taylor]: Taking taylor expansion of 1.0 in N 3.955 * [backup-simplify]: Simplify 1.0 into 1.0 3.955 * [backup-simplify]: Simplify (+ 1 0) into 1 3.955 * [backup-simplify]: Simplify (* 0 1) into 0 3.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.956 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.956 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.957 * [backup-simplify]: Simplify (sqrt 1) into 1 3.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.957 * [backup-simplify]: Simplify (+ 0 0) into 0 3.959 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.960 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.960 * [backup-simplify]: Simplify 1 into 1 3.960 * [backup-simplify]: Simplify 0.5 into 0.5 3.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.961 * [backup-simplify]: Simplify (+ 0 0) into 0 3.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.963 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.963 * [backup-simplify]: Simplify -0.125 into -0.125 3.963 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 3.963 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 3.963 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 3.963 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.963 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.963 * [taylor]: Taking taylor expansion of -1 in N 3.963 * [backup-simplify]: Simplify -1 into -1 3.963 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.964 * [taylor]: Taking taylor expansion of N in N 3.964 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify 1 into 1 3.964 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.964 * [taylor]: Taking taylor expansion of 1.0 in N 3.964 * [backup-simplify]: Simplify 1.0 into 1.0 3.964 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.964 * [taylor]: Taking taylor expansion of N in N 3.964 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify 1 into 1 3.964 * [backup-simplify]: Simplify (/ 1 1) into 1 3.964 * [backup-simplify]: Simplify (- 1) into -1 3.964 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.965 * [backup-simplify]: Simplify (* 0 -1) into 0 3.965 * [backup-simplify]: Simplify (* -1 0) into 0 3.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.966 * [backup-simplify]: Simplify (- 0) into 0 3.966 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.966 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.967 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.967 * [backup-simplify]: Simplify (sqrt 1) into 1 3.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.968 * [backup-simplify]: Simplify (- 0) into 0 3.968 * [backup-simplify]: Simplify (+ 0 0) into 0 3.970 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.971 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.972 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.972 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.972 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.972 * [taylor]: Taking taylor expansion of -1 in N 3.972 * [backup-simplify]: Simplify -1 into -1 3.972 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.972 * [taylor]: Taking taylor expansion of N in N 3.972 * [backup-simplify]: Simplify 0 into 0 3.972 * [backup-simplify]: Simplify 1 into 1 3.972 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.972 * [taylor]: Taking taylor expansion of 1.0 in N 3.972 * [backup-simplify]: Simplify 1.0 into 1.0 3.972 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.972 * [taylor]: Taking taylor expansion of N in N 3.972 * [backup-simplify]: Simplify 0 into 0 3.972 * [backup-simplify]: Simplify 1 into 1 3.972 * [backup-simplify]: Simplify (/ 1 1) into 1 3.972 * [backup-simplify]: Simplify (- 1) into -1 3.973 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.973 * [backup-simplify]: Simplify (* 0 -1) into 0 3.973 * [backup-simplify]: Simplify (* -1 0) into 0 3.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.974 * [backup-simplify]: Simplify (- 0) into 0 3.974 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.975 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.975 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.975 * [backup-simplify]: Simplify (sqrt 1) into 1 3.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.976 * [backup-simplify]: Simplify (- 0) into 0 3.976 * [backup-simplify]: Simplify (+ 0 0) into 0 3.978 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.979 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.980 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.980 * [backup-simplify]: Simplify 1 into 1 3.980 * [backup-simplify]: Simplify -0.5 into -0.5 3.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.981 * [backup-simplify]: Simplify (- 0) into 0 3.981 * [backup-simplify]: Simplify (+ 0 0) into 0 3.982 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.982 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.984 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.984 * [backup-simplify]: Simplify -0.125 into -0.125 3.984 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- N)) 2)) (+ (* -0.5 (/ 1 (- N))) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 3.985 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.985 * [backup-simplify]: Simplify (sqrt (/ (+ N 1.0) N)) into (sqrt (/ (+ N 1.0) N)) 3.985 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 3.985 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.985 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.985 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.985 * [taylor]: Taking taylor expansion of N in N 3.985 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify 1 into 1 3.985 * [taylor]: Taking taylor expansion of 1.0 in N 3.985 * [backup-simplify]: Simplify 1.0 into 1.0 3.985 * [taylor]: Taking taylor expansion of N in N 3.985 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify 1 into 1 3.985 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.985 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.986 * [backup-simplify]: Simplify (sqrt 0) into 0 3.987 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.987 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.987 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.987 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.987 * [taylor]: Taking taylor expansion of N in N 3.987 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify 1 into 1 3.988 * [taylor]: Taking taylor expansion of 1.0 in N 3.988 * [backup-simplify]: Simplify 1.0 into 1.0 3.988 * [taylor]: Taking taylor expansion of N in N 3.988 * [backup-simplify]: Simplify 0 into 0 3.988 * [backup-simplify]: Simplify 1 into 1 3.988 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.989 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.989 * [backup-simplify]: Simplify (sqrt 0) into 0 3.990 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.990 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.991 * [backup-simplify]: Simplify (+ 1 0) into 1 3.992 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.995 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.995 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.995 * [backup-simplify]: Simplify (+ 0 0) into 0 3.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.001 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.001 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) 4.001 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 4.001 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 4.001 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 4.001 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.001 * [taylor]: Taking taylor expansion of N in N 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 1 into 1 4.002 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.002 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.002 * [taylor]: Taking taylor expansion of N in N 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 1 into 1 4.002 * [backup-simplify]: Simplify (/ 1 1) into 1 4.002 * [taylor]: Taking taylor expansion of 1.0 in N 4.002 * [backup-simplify]: Simplify 1.0 into 1.0 4.003 * [backup-simplify]: Simplify (+ 1 0) into 1 4.003 * [backup-simplify]: Simplify (* 0 1) into 0 4.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.004 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.005 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.006 * [backup-simplify]: Simplify (sqrt 1) into 1 4.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.012 * [backup-simplify]: Simplify (+ 0 0) into 0 4.015 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 4.015 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 4.015 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 4.015 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.016 * [taylor]: Taking taylor expansion of N in N 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 1 into 1 4.016 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.016 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.016 * [taylor]: Taking taylor expansion of N in N 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 1 into 1 4.016 * [backup-simplify]: Simplify (/ 1 1) into 1 4.016 * [taylor]: Taking taylor expansion of 1.0 in N 4.016 * [backup-simplify]: Simplify 1.0 into 1.0 4.016 * [backup-simplify]: Simplify (+ 1 0) into 1 4.017 * [backup-simplify]: Simplify (* 0 1) into 0 4.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.017 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.018 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.018 * [backup-simplify]: Simplify (sqrt 1) into 1 4.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.019 * [backup-simplify]: Simplify (+ 0 0) into 0 4.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 4.021 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 4.021 * [backup-simplify]: Simplify 1 into 1 4.021 * [backup-simplify]: Simplify 0.5 into 0.5 4.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.022 * [backup-simplify]: Simplify (+ 0 0) into 0 4.023 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 4.025 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 4.025 * [backup-simplify]: Simplify -0.125 into -0.125 4.025 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 4.025 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 4.025 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 4.025 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.025 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.025 * [taylor]: Taking taylor expansion of -1 in N 4.025 * [backup-simplify]: Simplify -1 into -1 4.025 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.025 * [taylor]: Taking taylor expansion of N in N 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify 1 into 1 4.025 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.025 * [taylor]: Taking taylor expansion of 1.0 in N 4.025 * [backup-simplify]: Simplify 1.0 into 1.0 4.025 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.025 * [taylor]: Taking taylor expansion of N in N 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify 1 into 1 4.026 * [backup-simplify]: Simplify (/ 1 1) into 1 4.026 * [backup-simplify]: Simplify (- 1) into -1 4.026 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.026 * [backup-simplify]: Simplify (* 0 -1) into 0 4.027 * [backup-simplify]: Simplify (* -1 0) into 0 4.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.027 * [backup-simplify]: Simplify (- 0) into 0 4.028 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.028 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.029 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.029 * [backup-simplify]: Simplify (sqrt 1) into 1 4.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.030 * [backup-simplify]: Simplify (- 0) into 0 4.030 * [backup-simplify]: Simplify (+ 0 0) into 0 4.032 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 4.033 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 4.034 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 4.034 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.034 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.034 * [taylor]: Taking taylor expansion of -1 in N 4.034 * [backup-simplify]: Simplify -1 into -1 4.034 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.034 * [taylor]: Taking taylor expansion of N in N 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify 1 into 1 4.034 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.034 * [taylor]: Taking taylor expansion of 1.0 in N 4.034 * [backup-simplify]: Simplify 1.0 into 1.0 4.034 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.034 * [taylor]: Taking taylor expansion of N in N 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify 1 into 1 4.035 * [backup-simplify]: Simplify (/ 1 1) into 1 4.035 * [backup-simplify]: Simplify (- 1) into -1 4.035 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.035 * [backup-simplify]: Simplify (* 0 -1) into 0 4.036 * [backup-simplify]: Simplify (* -1 0) into 0 4.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.036 * [backup-simplify]: Simplify (- 0) into 0 4.037 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.037 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.037 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.038 * [backup-simplify]: Simplify (sqrt 1) into 1 4.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.038 * [backup-simplify]: Simplify (- 0) into 0 4.039 * [backup-simplify]: Simplify (+ 0 0) into 0 4.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 4.043 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 4.044 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 4.044 * [backup-simplify]: Simplify 1 into 1 4.044 * [backup-simplify]: Simplify -0.5 into -0.5 4.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.045 * [backup-simplify]: Simplify (- 0) into 0 4.045 * [backup-simplify]: Simplify (+ 0 0) into 0 4.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 4.047 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 4.048 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 4.048 * [backup-simplify]: Simplify -0.125 into -0.125 4.049 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- N)) 2)) (+ (* -0.5 (/ 1 (- N))) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 4.049 * * * [progress]: simplifying candidates 4.051 * [simplify]: Simplifying: (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N))) (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt 1) (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N))) (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt 1) (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 4.053 * * [simplify]: Extracting # 0 : cost 0 4.053 * * [simplify]: Extracting # 1 : cost 0 4.054 * * [simplify]: Extracting # 2 : cost 0 4.054 * * [simplify]: Extracting # 3 : cost 0 4.054 * * [simplify]: Extracting # 4 : cost 0 4.054 * * [simplify]: Extracting # 5 : cost 0 4.054 * * [simplify]: Extracting # 6 : cost 0 4.054 * * [simplify]: Extracting # 7 : cost 0 4.054 * * [simplify]: Extracting # 8 : cost 0 4.055 * * [simplify]: Extracting # 9 : cost 0 4.055 * * [simplify]: iteration 0 : 123 enodes (cost 1684 ) 4.077 * * [simplify]: Extracting # 0 : cost 0 4.077 * * [simplify]: Extracting # 1 : cost 0 4.077 * * [simplify]: Extracting # 2 : cost 0 4.078 * * [simplify]: Extracting # 3 : cost 0 4.078 * * [simplify]: Extracting # 4 : cost 0 4.078 * * [simplify]: iteration 1 : 202 enodes (cost 1574 ) 4.136 * * [simplify]: Extracting # 0 : cost 0 4.137 * * [simplify]: Extracting # 1 : cost 0 4.139 * * [simplify]: Extracting # 2 : cost 0 4.140 * * [simplify]: Extracting # 3 : cost 0 4.141 * * [simplify]: iteration 2 : 469 enodes (cost 1426 ) 4.393 * * [simplify]: Extracting # 0 : cost 0 4.395 * * [simplify]: Extracting # 1 : cost 0 4.401 * * [simplify]: Extracting # 2 : cost 0 4.404 * * [simplify]: Extracting # 3 : cost 0 4.407 * * [simplify]: Extracting # 4 : cost 0 4.411 * * [simplify]: iteration 3 : 1649 enodes (cost 1426 ) 5.017 * * [simplify]: Extracting # 0 : cost 0 5.027 * * [simplify]: Extracting # 1 : cost 0 5.034 * * [simplify]: Extracting # 2 : cost 0 5.041 * * [simplify]: Extracting # 3 : cost 0 5.056 * * [simplify]: Extracting # 4 : cost 0 5.063 * * [simplify]: iteration done: 5001 enodes (cost 1424 ) 5.065 * [simplify]: Simplified to: (* 2 (log (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (fabs (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (fabs (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (fabs (cbrt (+ N 1.0)))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (sqrt (/ (+ N 1.0) N)) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (pow (log (sqrt (/ (+ N 1.0) N))) 3) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (* 2 (log (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (fabs (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (fabs (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (fabs (cbrt (+ N 1.0)))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (sqrt (/ (+ N 1.0) N)) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (pow (log (sqrt (/ (+ N 1.0) N))) 3) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (pow (sqrt (/ (+ N 1.0) N)) 3) (fabs (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (fabs (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (fabs (cbrt (+ N 1.0))) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (sqrt (+ N 1.0))) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (pow (sqrt (/ (+ N 1.0) N)) 3) (fabs (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (fabs (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (fabs (cbrt (+ N 1.0))) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (sqrt (+ N 1.0))) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (- (log +nan.0) (* +nan.0 (- (pow N 2) N))) (+ (/ 0.5 N) (- (/ 0.16666666666666666 (pow N 3)) (/ 0.25 (pow N 2)))) (+ (/ 0.5 N) (- (/ 0.16666666666666666 (pow N 3)) (/ 0.25 (pow N 2)))) (- (log +nan.0) (* +nan.0 (- (pow N 2) N))) (+ (/ 0.5 N) (- (/ 0.16666666666666666 (pow N 3)) (/ 0.25 (pow N 2)))) (+ (/ 0.5 N) (- (/ 0.16666666666666666 (pow N 3)) (/ 0.25 (pow N 2)))) (- (* +nan.0 (- N (* N N))) +nan.0) (+ (- 1 (/ 0.125 (pow N 2))) (/ 0.5 N)) (+ (- 1 (/ 0.125 (pow N 2))) (/ 0.5 N)) (- (* +nan.0 (- N (* N N))) +nan.0) (+ (- 1 (/ 0.125 (pow N 2))) (/ 0.5 N)) (+ (- 1 (/ 0.125 (pow N 2))) (/ 0.5 N)) 5.066 * * * [progress]: adding candidates to table 5.468 * * [progress]: iteration 4 / 4 5.468 * * * [progress]: picking best candidate 5.472 * * * * [pick]: Picked # 5.472 * * * [progress]: localizing error 5.495 * * * [progress]: generating rewritten candidates 5.495 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.509 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 5.524 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 5.534 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 5.557 * * * [progress]: generating series expansions 5.558 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.558 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1.0) N))) into (log (sqrt (/ (+ N 1.0) N))) 5.558 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 5.558 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 5.558 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 5.558 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.558 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.558 * [taylor]: Taking taylor expansion of N in N 5.558 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify 1 into 1 5.558 * [taylor]: Taking taylor expansion of 1.0 in N 5.558 * [backup-simplify]: Simplify 1.0 into 1.0 5.558 * [taylor]: Taking taylor expansion of N in N 5.558 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify 1 into 1 5.559 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.560 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.560 * [backup-simplify]: Simplify (sqrt 0) into 0 5.562 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 5.562 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.562 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 5.562 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 5.562 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.562 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.562 * [taylor]: Taking taylor expansion of N in N 5.562 * [backup-simplify]: Simplify 0 into 0 5.562 * [backup-simplify]: Simplify 1 into 1 5.562 * [taylor]: Taking taylor expansion of 1.0 in N 5.562 * [backup-simplify]: Simplify 1.0 into 1.0 5.562 * [taylor]: Taking taylor expansion of N in N 5.562 * [backup-simplify]: Simplify 0 into 0 5.562 * [backup-simplify]: Simplify 1 into 1 5.563 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.563 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.564 * [backup-simplify]: Simplify (sqrt 0) into 0 5.565 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 5.565 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.566 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.566 * [backup-simplify]: Simplify (+ 1 0) into 1 5.567 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 5.570 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.574 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.574 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.574 * [backup-simplify]: Simplify (+ 0 0) into 0 5.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.585 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 5.585 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.586 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) 5.586 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 5.586 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 5.586 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 5.586 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 5.586 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.586 * [taylor]: Taking taylor expansion of N in N 5.586 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify 1 into 1 5.586 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.586 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.586 * [taylor]: Taking taylor expansion of N in N 5.586 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify 1 into 1 5.587 * [backup-simplify]: Simplify (/ 1 1) into 1 5.587 * [taylor]: Taking taylor expansion of 1.0 in N 5.587 * [backup-simplify]: Simplify 1.0 into 1.0 5.587 * [backup-simplify]: Simplify (+ 1 0) into 1 5.587 * [backup-simplify]: Simplify (* 0 1) into 0 5.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.588 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.588 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.589 * [backup-simplify]: Simplify (sqrt 1) into 1 5.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.589 * [backup-simplify]: Simplify (+ 0 0) into 0 5.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.592 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 5.592 * [backup-simplify]: Simplify (log 1) into 0 5.592 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 5.592 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 5.592 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.592 * [taylor]: Taking taylor expansion of N in N 5.592 * [backup-simplify]: Simplify 0 into 0 5.592 * [backup-simplify]: Simplify 1 into 1 5.592 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.592 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.592 * [taylor]: Taking taylor expansion of N in N 5.592 * [backup-simplify]: Simplify 0 into 0 5.592 * [backup-simplify]: Simplify 1 into 1 5.592 * [backup-simplify]: Simplify (/ 1 1) into 1 5.592 * [taylor]: Taking taylor expansion of 1.0 in N 5.592 * [backup-simplify]: Simplify 1.0 into 1.0 5.593 * [backup-simplify]: Simplify (+ 1 0) into 1 5.593 * [backup-simplify]: Simplify (* 0 1) into 0 5.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.594 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.594 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.594 * [backup-simplify]: Simplify (sqrt 1) into 1 5.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.595 * [backup-simplify]: Simplify (+ 0 0) into 0 5.597 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.599 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 5.600 * [backup-simplify]: Simplify (log 1) into 0 5.600 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 5.607 * [backup-simplify]: Simplify 0.5 into 0.5 5.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.608 * [backup-simplify]: Simplify (+ 0 0) into 0 5.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 5.612 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 5.625 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 5.625 * [backup-simplify]: Simplify -0.25 into -0.25 5.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.626 * [backup-simplify]: Simplify (+ 0 0) into 0 5.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 5.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 5.646 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 5.646 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 5.646 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 5.647 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 5.647 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 5.647 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 5.647 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.647 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.647 * [taylor]: Taking taylor expansion of -1 in N 5.647 * [backup-simplify]: Simplify -1 into -1 5.647 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.647 * [taylor]: Taking taylor expansion of N in N 5.647 * [backup-simplify]: Simplify 0 into 0 5.647 * [backup-simplify]: Simplify 1 into 1 5.647 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.647 * [taylor]: Taking taylor expansion of 1.0 in N 5.647 * [backup-simplify]: Simplify 1.0 into 1.0 5.647 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.647 * [taylor]: Taking taylor expansion of N in N 5.647 * [backup-simplify]: Simplify 0 into 0 5.647 * [backup-simplify]: Simplify 1 into 1 5.648 * [backup-simplify]: Simplify (/ 1 1) into 1 5.648 * [backup-simplify]: Simplify (- 1) into -1 5.648 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.649 * [backup-simplify]: Simplify (* 0 -1) into 0 5.649 * [backup-simplify]: Simplify (* -1 0) into 0 5.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.650 * [backup-simplify]: Simplify (- 0) into 0 5.651 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.651 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.652 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.652 * [backup-simplify]: Simplify (sqrt 1) into 1 5.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.653 * [backup-simplify]: Simplify (- 0) into 0 5.654 * [backup-simplify]: Simplify (+ 0 0) into 0 5.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 5.658 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 5.659 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 5.659 * [backup-simplify]: Simplify (log 1) into 0 5.660 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 5.660 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.660 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.660 * [taylor]: Taking taylor expansion of -1 in N 5.660 * [backup-simplify]: Simplify -1 into -1 5.660 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.660 * [taylor]: Taking taylor expansion of N in N 5.660 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify 1 into 1 5.660 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.660 * [taylor]: Taking taylor expansion of 1.0 in N 5.660 * [backup-simplify]: Simplify 1.0 into 1.0 5.660 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.660 * [taylor]: Taking taylor expansion of N in N 5.660 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify 1 into 1 5.660 * [backup-simplify]: Simplify (/ 1 1) into 1 5.660 * [backup-simplify]: Simplify (- 1) into -1 5.661 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.661 * [backup-simplify]: Simplify (* 0 -1) into 0 5.661 * [backup-simplify]: Simplify (* -1 0) into 0 5.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.662 * [backup-simplify]: Simplify (- 0) into 0 5.662 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.663 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.663 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.664 * [backup-simplify]: Simplify (sqrt 1) into 1 5.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.665 * [backup-simplify]: Simplify (- 0) into 0 5.665 * [backup-simplify]: Simplify (+ 0 0) into 0 5.667 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 5.668 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 5.669 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 5.669 * [backup-simplify]: Simplify (log 1) into 0 5.669 * [backup-simplify]: Simplify 0 into 0 5.673 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 5.673 * [backup-simplify]: Simplify -0.5 into -0.5 5.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.674 * [backup-simplify]: Simplify (- 0) into 0 5.674 * [backup-simplify]: Simplify (+ 0 0) into 0 5.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 5.675 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 5.677 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 5.692 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 5.692 * [backup-simplify]: Simplify -0.25 into -0.25 5.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.693 * [backup-simplify]: Simplify (- 0) into 0 5.694 * [backup-simplify]: Simplify (+ 0 0) into 0 5.695 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 5.695 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 5.698 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 5.712 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0625) 1)) (pow 1 1)))) 6) into -0.16666666666666666 5.712 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 5.712 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 3)) (+ (* -0.25 (pow (/ 1 (- N)) 2)) (* -0.5 (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 5.712 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 5.713 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ N 1.0) N)))) into (log (pow (/ (+ N 1.0) N) 1/4)) 5.713 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in (N) around 0 5.713 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 5.713 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 5.713 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 5.713 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 5.713 * [taylor]: Taking taylor expansion of 1/4 in N 5.713 * [backup-simplify]: Simplify 1/4 into 1/4 5.713 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 5.713 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.713 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.713 * [taylor]: Taking taylor expansion of N in N 5.713 * [backup-simplify]: Simplify 0 into 0 5.713 * [backup-simplify]: Simplify 1 into 1 5.713 * [taylor]: Taking taylor expansion of 1.0 in N 5.713 * [backup-simplify]: Simplify 1.0 into 1.0 5.713 * [taylor]: Taking taylor expansion of N in N 5.713 * [backup-simplify]: Simplify 0 into 0 5.713 * [backup-simplify]: Simplify 1 into 1 5.713 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.713 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.714 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.714 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.715 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 5.715 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 5.715 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 5.715 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 5.715 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 5.715 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 5.715 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 5.715 * [taylor]: Taking taylor expansion of 1/4 in N 5.715 * [backup-simplify]: Simplify 1/4 into 1/4 5.715 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 5.715 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.715 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.715 * [taylor]: Taking taylor expansion of N in N 5.715 * [backup-simplify]: Simplify 0 into 0 5.715 * [backup-simplify]: Simplify 1 into 1 5.715 * [taylor]: Taking taylor expansion of 1.0 in N 5.715 * [backup-simplify]: Simplify 1.0 into 1.0 5.715 * [taylor]: Taking taylor expansion of N in N 5.715 * [backup-simplify]: Simplify 0 into 0 5.716 * [backup-simplify]: Simplify 1 into 1 5.716 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.716 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.716 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.717 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.717 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 5.717 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 5.718 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 5.718 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 5.718 * [backup-simplify]: Simplify (+ 1 0) into 1 5.719 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 5.727 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.728 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.729 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log 1.0) (log N)))) into 0.25 5.731 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) 5.733 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.25 (exp (* 1/4 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 1) into 0.25 5.733 * [backup-simplify]: Simplify 0.25 into 0.25 5.733 * [backup-simplify]: Simplify (+ 0 0) into 0 5.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.744 * [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)) 5.745 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.748 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 5.757 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (exp (* 1/4 (- (log 1.0) (log N))))) 5.760 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.25 (exp (* 1/4 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (exp (* 1/4 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/8 (pow 1.0 2)) 5.761 * [backup-simplify]: Simplify (/ -1/8 (pow 1.0 2)) into (/ -1/8 (pow 1.0 2)) 5.762 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow 1.0 2)) (pow N 2)) (+ (* 0.25 N) (* 1/4 (- (log 1.0) (log N))))) into (- (+ (* 0.25 N) (* 1/4 (log 1.0))) (+ (* 1/8 (/ (pow N 2) (pow 1.0 2))) (* 1/4 (log N)))) 5.762 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) 5.762 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in (N) around 0 5.762 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 5.762 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 5.762 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 5.762 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 5.762 * [taylor]: Taking taylor expansion of 1/4 in N 5.762 * [backup-simplify]: Simplify 1/4 into 1/4 5.762 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 5.762 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.762 * [taylor]: Taking taylor expansion of N in N 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify 1 into 1 5.762 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.762 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.762 * [taylor]: Taking taylor expansion of N in N 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify 1 into 1 5.763 * [backup-simplify]: Simplify (/ 1 1) into 1 5.763 * [taylor]: Taking taylor expansion of 1.0 in N 5.763 * [backup-simplify]: Simplify 1.0 into 1.0 5.763 * [backup-simplify]: Simplify (+ 1 0) into 1 5.763 * [backup-simplify]: Simplify (* 0 1) into 0 5.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.764 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.764 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.764 * [backup-simplify]: Simplify (log 1) into 0 5.765 * [backup-simplify]: Simplify (* 1/4 0) into 0 5.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.765 * [backup-simplify]: Simplify (+ 0 0) into 0 5.767 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.771 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.772 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 5.772 * [backup-simplify]: Simplify (exp 0) into 1 5.772 * [backup-simplify]: Simplify (log 1) into 0 5.772 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 5.772 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 5.772 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 5.772 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 5.772 * [taylor]: Taking taylor expansion of 1/4 in N 5.772 * [backup-simplify]: Simplify 1/4 into 1/4 5.772 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 5.772 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.772 * [taylor]: Taking taylor expansion of N in N 5.772 * [backup-simplify]: Simplify 0 into 0 5.772 * [backup-simplify]: Simplify 1 into 1 5.772 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.772 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.772 * [taylor]: Taking taylor expansion of N in N 5.772 * [backup-simplify]: Simplify 0 into 0 5.772 * [backup-simplify]: Simplify 1 into 1 5.772 * [backup-simplify]: Simplify (/ 1 1) into 1 5.772 * [taylor]: Taking taylor expansion of 1.0 in N 5.772 * [backup-simplify]: Simplify 1.0 into 1.0 5.773 * [backup-simplify]: Simplify (+ 1 0) into 1 5.773 * [backup-simplify]: Simplify (* 0 1) into 0 5.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.774 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.774 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.774 * [backup-simplify]: Simplify (log 1) into 0 5.775 * [backup-simplify]: Simplify (* 1/4 0) into 0 5.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.775 * [backup-simplify]: Simplify (+ 0 0) into 0 5.777 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.781 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.782 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 5.782 * [backup-simplify]: Simplify (exp 0) into 1 5.783 * [backup-simplify]: Simplify (log 1) into 0 5.783 * [backup-simplify]: Simplify 0 into 0 5.786 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 1) 1)))) into 0.25 5.793 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.25) 1)) (pow 1 1)))) 1) into 0.25 5.793 * [backup-simplify]: Simplify 0.25 into 0.25 5.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.794 * [backup-simplify]: Simplify (+ 0 0) into 0 5.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 5.808 * [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 5.810 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.125) 5.818 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into -0.09375 5.835 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.25) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.09375) 1)) (pow 1 1)))) 2) into -0.125 5.835 * [backup-simplify]: Simplify -0.125 into -0.125 5.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.837 * [backup-simplify]: Simplify (+ 0 0) into 0 5.838 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 5.861 * [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 5.864 * [backup-simplify]: Simplify (+ (* 1/4 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.08333333333333333 5.877 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 3) 6)) (* (/ (pow 0.25 1) 1) (/ (pow (- 0.125) 1) 1)) (* (/ (pow 0.08333333333333333 1) 1)))) into 0.0546875 5.903 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.25) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.25) 1) (pow (* 2 -0.09375) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0546875) 1)) (pow 1 1)))) 6) into 0.08333333333333333 5.903 * [backup-simplify]: Simplify 0.08333333333333333 into 0.08333333333333333 5.904 * [backup-simplify]: Simplify (+ (* 0.08333333333333333 (pow (/ 1 N) 3)) (+ (* -0.125 (pow (/ 1 N) 2)) (* 0.25 (/ 1 N)))) into (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) 5.904 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) 5.904 * [approximate]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in (N) around 0 5.904 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 5.904 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 5.904 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.904 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.904 * [taylor]: Taking taylor expansion of -1 in N 5.904 * [backup-simplify]: Simplify -1 into -1 5.904 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.904 * [taylor]: Taking taylor expansion of N in N 5.904 * [backup-simplify]: Simplify 0 into 0 5.904 * [backup-simplify]: Simplify 1 into 1 5.904 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.904 * [taylor]: Taking taylor expansion of 1.0 in N 5.905 * [backup-simplify]: Simplify 1.0 into 1.0 5.905 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.905 * [taylor]: Taking taylor expansion of N in N 5.905 * [backup-simplify]: Simplify 0 into 0 5.905 * [backup-simplify]: Simplify 1 into 1 5.905 * [backup-simplify]: Simplify (/ 1 1) into 1 5.905 * [backup-simplify]: Simplify (- 1) into -1 5.906 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.906 * [backup-simplify]: Simplify (* 0 -1) into 0 5.907 * [backup-simplify]: Simplify (* -1 0) into 0 5.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.908 * [backup-simplify]: Simplify (- 0) into 0 5.908 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.909 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.910 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.910 * [backup-simplify]: Simplify (sqrt 1) into 1 5.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.911 * [backup-simplify]: Simplify (- 0) into 0 5.912 * [backup-simplify]: Simplify (+ 0 0) into 0 5.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 5.917 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 5.918 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 5.918 * [backup-simplify]: Simplify (sqrt 1) into 1 5.919 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 5.919 * [backup-simplify]: Simplify (log 1) into 0 5.919 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 5.919 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 5.919 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.919 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.919 * [taylor]: Taking taylor expansion of -1 in N 5.919 * [backup-simplify]: Simplify -1 into -1 5.919 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.919 * [taylor]: Taking taylor expansion of N in N 5.919 * [backup-simplify]: Simplify 0 into 0 5.919 * [backup-simplify]: Simplify 1 into 1 5.919 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.919 * [taylor]: Taking taylor expansion of 1.0 in N 5.919 * [backup-simplify]: Simplify 1.0 into 1.0 5.919 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.919 * [taylor]: Taking taylor expansion of N in N 5.919 * [backup-simplify]: Simplify 0 into 0 5.919 * [backup-simplify]: Simplify 1 into 1 5.920 * [backup-simplify]: Simplify (/ 1 1) into 1 5.920 * [backup-simplify]: Simplify (- 1) into -1 5.920 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.920 * [backup-simplify]: Simplify (* 0 -1) into 0 5.921 * [backup-simplify]: Simplify (* -1 0) into 0 5.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.921 * [backup-simplify]: Simplify (- 0) into 0 5.922 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.922 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.922 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.923 * [backup-simplify]: Simplify (sqrt 1) into 1 5.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.923 * [backup-simplify]: Simplify (- 0) into 0 5.924 * [backup-simplify]: Simplify (+ 0 0) into 0 5.925 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 5.926 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 5.927 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 5.928 * [backup-simplify]: Simplify (sqrt 1) into 1 5.928 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 5.928 * [backup-simplify]: Simplify (log 1) into 0 5.929 * [backup-simplify]: Simplify 0 into 0 5.932 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.25) 1)) (pow 1 1)))) 1) into -0.25 5.932 * [backup-simplify]: Simplify -0.25 into -0.25 5.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.933 * [backup-simplify]: Simplify (- 0) into 0 5.933 * [backup-simplify]: Simplify (+ 0 0) into 0 5.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 5.935 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 5.936 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 5.938 * [backup-simplify]: Simplify (/ (- -0.125 (pow -0.25 2) (+)) (* 2 1)) into -0.09375 5.948 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.25) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.09375) 1)) (pow 1 1)))) 2) into -0.125 5.949 * [backup-simplify]: Simplify -0.125 into -0.125 5.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.950 * [backup-simplify]: Simplify (- 0) into 0 5.950 * [backup-simplify]: Simplify (+ 0 0) into 0 5.952 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 5.954 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 5.958 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 5.963 * [backup-simplify]: Simplify (/ (- -0.0625 (+ (* 2 (* -0.25 -0.09375)))) (* 2 1)) into -0.0546875 5.998 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.25) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.25) 1) (pow (* 2 -0.09375) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0546875) 1)) (pow 1 1)))) 6) into -0.08333333333333333 5.998 * [backup-simplify]: Simplify -0.08333333333333333 into -0.08333333333333333 5.999 * [backup-simplify]: Simplify (+ (* -0.08333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.125 (pow (/ 1 (- N)) 2)) (* -0.25 (/ 1 (- N))))) into (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) 5.999 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 5.999 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ N 1.0) N)))) into (log (pow (/ (+ N 1.0) N) 1/4)) 5.999 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in (N) around 0 5.999 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 5.999 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 5.999 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 5.999 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 5.999 * [taylor]: Taking taylor expansion of 1/4 in N 5.999 * [backup-simplify]: Simplify 1/4 into 1/4 5.999 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 5.999 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.999 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.999 * [taylor]: Taking taylor expansion of N in N 5.999 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify 1 into 1 5.999 * [taylor]: Taking taylor expansion of 1.0 in N 5.999 * [backup-simplify]: Simplify 1.0 into 1.0 5.999 * [taylor]: Taking taylor expansion of N in N 5.999 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify 1 into 1 6.000 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.000 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.001 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.001 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.002 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 6.002 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 6.003 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 6.003 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 6.003 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 6.003 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 6.003 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 6.003 * [taylor]: Taking taylor expansion of 1/4 in N 6.003 * [backup-simplify]: Simplify 1/4 into 1/4 6.003 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.003 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.003 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.003 * [taylor]: Taking taylor expansion of N in N 6.003 * [backup-simplify]: Simplify 0 into 0 6.003 * [backup-simplify]: Simplify 1 into 1 6.003 * [taylor]: Taking taylor expansion of 1.0 in N 6.003 * [backup-simplify]: Simplify 1.0 into 1.0 6.003 * [taylor]: Taking taylor expansion of N in N 6.003 * [backup-simplify]: Simplify 0 into 0 6.003 * [backup-simplify]: Simplify 1 into 1 6.004 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.004 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.004 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.005 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.006 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 6.006 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 6.007 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 6.007 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 6.008 * [backup-simplify]: Simplify (+ 1 0) into 1 6.008 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 6.013 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.014 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.015 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log 1.0) (log N)))) into 0.25 6.017 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) 6.019 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.25 (exp (* 1/4 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 1) into 0.25 6.019 * [backup-simplify]: Simplify 0.25 into 0.25 6.019 * [backup-simplify]: Simplify (+ 0 0) into 0 6.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.028 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 6.028 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.030 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 6.036 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (exp (* 1/4 (- (log 1.0) (log N))))) 6.040 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.25 (exp (* 1/4 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (exp (* 1/4 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/8 (pow 1.0 2)) 6.040 * [backup-simplify]: Simplify (/ -1/8 (pow 1.0 2)) into (/ -1/8 (pow 1.0 2)) 6.042 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow 1.0 2)) (pow N 2)) (+ (* 0.25 N) (* 1/4 (- (log 1.0) (log N))))) into (- (+ (* 0.25 N) (* 1/4 (log 1.0))) (+ (* 1/8 (/ (pow N 2) (pow 1.0 2))) (* 1/4 (log N)))) 6.042 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) 6.042 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in (N) around 0 6.042 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 6.042 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 6.042 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 6.042 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 6.042 * [taylor]: Taking taylor expansion of 1/4 in N 6.042 * [backup-simplify]: Simplify 1/4 into 1/4 6.042 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.042 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.042 * [taylor]: Taking taylor expansion of N in N 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 1 into 1 6.042 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.042 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.042 * [taylor]: Taking taylor expansion of N in N 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 1 into 1 6.042 * [backup-simplify]: Simplify (/ 1 1) into 1 6.042 * [taylor]: Taking taylor expansion of 1.0 in N 6.042 * [backup-simplify]: Simplify 1.0 into 1.0 6.043 * [backup-simplify]: Simplify (+ 1 0) into 1 6.043 * [backup-simplify]: Simplify (* 0 1) into 0 6.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.044 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.044 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.044 * [backup-simplify]: Simplify (log 1) into 0 6.044 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.045 * [backup-simplify]: Simplify (+ 0 0) into 0 6.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.053 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.054 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 6.054 * [backup-simplify]: Simplify (exp 0) into 1 6.055 * [backup-simplify]: Simplify (log 1) into 0 6.055 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 6.055 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 6.055 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 6.055 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 6.055 * [taylor]: Taking taylor expansion of 1/4 in N 6.055 * [backup-simplify]: Simplify 1/4 into 1/4 6.055 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.055 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.055 * [taylor]: Taking taylor expansion of N in N 6.055 * [backup-simplify]: Simplify 0 into 0 6.055 * [backup-simplify]: Simplify 1 into 1 6.055 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.055 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.055 * [taylor]: Taking taylor expansion of N in N 6.055 * [backup-simplify]: Simplify 0 into 0 6.055 * [backup-simplify]: Simplify 1 into 1 6.056 * [backup-simplify]: Simplify (/ 1 1) into 1 6.056 * [taylor]: Taking taylor expansion of 1.0 in N 6.056 * [backup-simplify]: Simplify 1.0 into 1.0 6.056 * [backup-simplify]: Simplify (+ 1 0) into 1 6.056 * [backup-simplify]: Simplify (* 0 1) into 0 6.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.057 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.058 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.058 * [backup-simplify]: Simplify (log 1) into 0 6.059 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.060 * [backup-simplify]: Simplify (+ 0 0) into 0 6.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.068 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.069 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 6.069 * [backup-simplify]: Simplify (exp 0) into 1 6.070 * [backup-simplify]: Simplify (log 1) into 0 6.070 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 1) 1)))) into 0.25 6.078 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.25) 1)) (pow 1 1)))) 1) into 0.25 6.078 * [backup-simplify]: Simplify 0.25 into 0.25 6.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.080 * [backup-simplify]: Simplify (+ 0 0) into 0 6.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 6.091 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 6.093 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.125) 6.101 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into -0.09375 6.119 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.25) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.09375) 1)) (pow 1 1)))) 2) into -0.125 6.119 * [backup-simplify]: Simplify -0.125 into -0.125 6.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.120 * [backup-simplify]: Simplify (+ 0 0) into 0 6.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 6.131 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 6.132 * [backup-simplify]: Simplify (+ (* 1/4 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.08333333333333333 6.140 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 3) 6)) (* (/ (pow 0.25 1) 1) (/ (pow (- 0.125) 1) 1)) (* (/ (pow 0.08333333333333333 1) 1)))) into 0.0546875 6.155 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.25) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.25) 1) (pow (* 2 -0.09375) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0546875) 1)) (pow 1 1)))) 6) into 0.08333333333333333 6.155 * [backup-simplify]: Simplify 0.08333333333333333 into 0.08333333333333333 6.155 * [backup-simplify]: Simplify (+ (* 0.08333333333333333 (pow (/ 1 N) 3)) (+ (* -0.125 (pow (/ 1 N) 2)) (* 0.25 (/ 1 N)))) into (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) 6.156 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) 6.156 * [approximate]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in (N) around 0 6.156 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 6.156 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.156 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.156 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.156 * [taylor]: Taking taylor expansion of -1 in N 6.156 * [backup-simplify]: Simplify -1 into -1 6.156 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.156 * [taylor]: Taking taylor expansion of N in N 6.156 * [backup-simplify]: Simplify 0 into 0 6.156 * [backup-simplify]: Simplify 1 into 1 6.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.156 * [taylor]: Taking taylor expansion of 1.0 in N 6.156 * [backup-simplify]: Simplify 1.0 into 1.0 6.156 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.156 * [taylor]: Taking taylor expansion of N in N 6.156 * [backup-simplify]: Simplify 0 into 0 6.156 * [backup-simplify]: Simplify 1 into 1 6.157 * [backup-simplify]: Simplify (/ 1 1) into 1 6.157 * [backup-simplify]: Simplify (- 1) into -1 6.157 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.158 * [backup-simplify]: Simplify (* 0 -1) into 0 6.158 * [backup-simplify]: Simplify (* -1 0) into 0 6.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.159 * [backup-simplify]: Simplify (- 0) into 0 6.160 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.160 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.161 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.161 * [backup-simplify]: Simplify (sqrt 1) into 1 6.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.162 * [backup-simplify]: Simplify (- 0) into 0 6.163 * [backup-simplify]: Simplify (+ 0 0) into 0 6.166 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.168 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.169 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.170 * [backup-simplify]: Simplify (sqrt 1) into 1 6.171 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 6.171 * [backup-simplify]: Simplify (log 1) into 0 6.171 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 6.171 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.171 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.171 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.171 * [taylor]: Taking taylor expansion of -1 in N 6.171 * [backup-simplify]: Simplify -1 into -1 6.171 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.172 * [taylor]: Taking taylor expansion of N in N 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 1 into 1 6.172 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.172 * [taylor]: Taking taylor expansion of 1.0 in N 6.172 * [backup-simplify]: Simplify 1.0 into 1.0 6.172 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.172 * [taylor]: Taking taylor expansion of N in N 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 1 into 1 6.172 * [backup-simplify]: Simplify (/ 1 1) into 1 6.173 * [backup-simplify]: Simplify (- 1) into -1 6.173 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.173 * [backup-simplify]: Simplify (* 0 -1) into 0 6.174 * [backup-simplify]: Simplify (* -1 0) into 0 6.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.175 * [backup-simplify]: Simplify (- 0) into 0 6.175 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.176 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.177 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.177 * [backup-simplify]: Simplify (sqrt 1) into 1 6.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.179 * [backup-simplify]: Simplify (- 0) into 0 6.179 * [backup-simplify]: Simplify (+ 0 0) into 0 6.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.185 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.186 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.187 * [backup-simplify]: Simplify (sqrt 1) into 1 6.188 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 6.188 * [backup-simplify]: Simplify (log 1) into 0 6.188 * [backup-simplify]: Simplify 0 into 0 6.195 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.25) 1)) (pow 1 1)))) 1) into -0.25 6.195 * [backup-simplify]: Simplify -0.25 into -0.25 6.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.196 * [backup-simplify]: Simplify (- 0) into 0 6.197 * [backup-simplify]: Simplify (+ 0 0) into 0 6.198 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 6.199 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 6.202 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 6.206 * [backup-simplify]: Simplify (/ (- -0.125 (pow -0.25 2) (+)) (* 2 1)) into -0.09375 6.222 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.25) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.09375) 1)) (pow 1 1)))) 2) into -0.125 6.222 * [backup-simplify]: Simplify -0.125 into -0.125 6.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.224 * [backup-simplify]: Simplify (- 0) into 0 6.224 * [backup-simplify]: Simplify (+ 0 0) into 0 6.226 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 6.228 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 6.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 6.242 * [backup-simplify]: Simplify (/ (- -0.0625 (+ (* 2 (* -0.25 -0.09375)))) (* 2 1)) into -0.0546875 6.262 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.25) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.25) 1) (pow (* 2 -0.09375) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0546875) 1)) (pow 1 1)))) 6) into -0.08333333333333333 6.262 * [backup-simplify]: Simplify -0.08333333333333333 into -0.08333333333333333 6.263 * [backup-simplify]: Simplify (+ (* -0.08333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.125 (pow (/ 1 (- N)) 2)) (* -0.25 (/ 1 (- N))))) into (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) 6.263 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 6.263 * [backup-simplify]: Simplify (sqrt (/ (+ N 1.0) N)) into (sqrt (/ (+ N 1.0) N)) 6.263 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 6.263 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 6.263 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.263 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.263 * [taylor]: Taking taylor expansion of N in N 6.263 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify 1 into 1 6.263 * [taylor]: Taking taylor expansion of 1.0 in N 6.263 * [backup-simplify]: Simplify 1.0 into 1.0 6.263 * [taylor]: Taking taylor expansion of N in N 6.263 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify 1 into 1 6.263 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.264 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.264 * [backup-simplify]: Simplify (sqrt 0) into 0 6.265 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 6.265 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 6.265 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.265 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.265 * [taylor]: Taking taylor expansion of N in N 6.265 * [backup-simplify]: Simplify 0 into 0 6.265 * [backup-simplify]: Simplify 1 into 1 6.265 * [taylor]: Taking taylor expansion of 1.0 in N 6.265 * [backup-simplify]: Simplify 1.0 into 1.0 6.265 * [taylor]: Taking taylor expansion of N in N 6.265 * [backup-simplify]: Simplify 0 into 0 6.265 * [backup-simplify]: Simplify 1 into 1 6.265 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.266 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.266 * [backup-simplify]: Simplify (sqrt 0) into 0 6.267 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 6.267 * [backup-simplify]: Simplify 0 into 0 6.267 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.267 * [backup-simplify]: Simplify (+ 1 0) into 1 6.267 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 6.269 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.269 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.270 * [backup-simplify]: Simplify (+ 0 0) into 0 6.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.274 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.275 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) 6.275 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 6.275 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 6.275 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 6.275 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.275 * [taylor]: Taking taylor expansion of N in N 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify 1 into 1 6.275 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.275 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.275 * [taylor]: Taking taylor expansion of N in N 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify 1 into 1 6.275 * [backup-simplify]: Simplify (/ 1 1) into 1 6.275 * [taylor]: Taking taylor expansion of 1.0 in N 6.275 * [backup-simplify]: Simplify 1.0 into 1.0 6.276 * [backup-simplify]: Simplify (+ 1 0) into 1 6.276 * [backup-simplify]: Simplify (* 0 1) into 0 6.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.277 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.278 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.279 * [backup-simplify]: Simplify (sqrt 1) into 1 6.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.280 * [backup-simplify]: Simplify (+ 0 0) into 0 6.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.284 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 6.284 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 6.284 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.284 * [taylor]: Taking taylor expansion of N in N 6.284 * [backup-simplify]: Simplify 0 into 0 6.284 * [backup-simplify]: Simplify 1 into 1 6.284 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.284 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.284 * [taylor]: Taking taylor expansion of N in N 6.284 * [backup-simplify]: Simplify 0 into 0 6.284 * [backup-simplify]: Simplify 1 into 1 6.284 * [backup-simplify]: Simplify (/ 1 1) into 1 6.284 * [taylor]: Taking taylor expansion of 1.0 in N 6.284 * [backup-simplify]: Simplify 1.0 into 1.0 6.285 * [backup-simplify]: Simplify (+ 1 0) into 1 6.285 * [backup-simplify]: Simplify (* 0 1) into 0 6.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.286 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.287 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.287 * [backup-simplify]: Simplify (sqrt 1) into 1 6.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.289 * [backup-simplify]: Simplify (+ 0 0) into 0 6.292 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.293 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 6.293 * [backup-simplify]: Simplify 1 into 1 6.293 * [backup-simplify]: Simplify 0.5 into 0.5 6.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.295 * [backup-simplify]: Simplify (+ 0 0) into 0 6.296 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 6.299 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 6.299 * [backup-simplify]: Simplify -0.125 into -0.125 6.299 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 6.299 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 6.299 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 6.300 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.300 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.300 * [taylor]: Taking taylor expansion of -1 in N 6.300 * [backup-simplify]: Simplify -1 into -1 6.300 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.300 * [taylor]: Taking taylor expansion of N in N 6.300 * [backup-simplify]: Simplify 0 into 0 6.300 * [backup-simplify]: Simplify 1 into 1 6.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.300 * [taylor]: Taking taylor expansion of 1.0 in N 6.300 * [backup-simplify]: Simplify 1.0 into 1.0 6.300 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.300 * [taylor]: Taking taylor expansion of N in N 6.300 * [backup-simplify]: Simplify 0 into 0 6.300 * [backup-simplify]: Simplify 1 into 1 6.300 * [backup-simplify]: Simplify (/ 1 1) into 1 6.301 * [backup-simplify]: Simplify (- 1) into -1 6.301 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.302 * [backup-simplify]: Simplify (* 0 -1) into 0 6.302 * [backup-simplify]: Simplify (* -1 0) into 0 6.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.303 * [backup-simplify]: Simplify (- 0) into 0 6.303 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.304 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.305 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.305 * [backup-simplify]: Simplify (sqrt 1) into 1 6.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.306 * [backup-simplify]: Simplify (- 0) into 0 6.307 * [backup-simplify]: Simplify (+ 0 0) into 0 6.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.311 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.313 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.313 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.313 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.313 * [taylor]: Taking taylor expansion of -1 in N 6.313 * [backup-simplify]: Simplify -1 into -1 6.313 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.313 * [taylor]: Taking taylor expansion of N in N 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [backup-simplify]: Simplify 1 into 1 6.313 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.313 * [taylor]: Taking taylor expansion of 1.0 in N 6.313 * [backup-simplify]: Simplify 1.0 into 1.0 6.313 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.313 * [taylor]: Taking taylor expansion of N in N 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [backup-simplify]: Simplify 1 into 1 6.314 * [backup-simplify]: Simplify (/ 1 1) into 1 6.314 * [backup-simplify]: Simplify (- 1) into -1 6.315 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.315 * [backup-simplify]: Simplify (* 0 -1) into 0 6.315 * [backup-simplify]: Simplify (* -1 0) into 0 6.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.316 * [backup-simplify]: Simplify (- 0) into 0 6.317 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.317 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.318 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.318 * [backup-simplify]: Simplify (sqrt 1) into 1 6.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.320 * [backup-simplify]: Simplify (- 0) into 0 6.320 * [backup-simplify]: Simplify (+ 0 0) into 0 6.323 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.325 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.326 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.326 * [backup-simplify]: Simplify 1 into 1 6.327 * [backup-simplify]: Simplify -0.5 into -0.5 6.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.328 * [backup-simplify]: Simplify (- 0) into 0 6.328 * [backup-simplify]: Simplify (+ 0 0) into 0 6.329 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 6.331 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 6.334 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 6.334 * [backup-simplify]: Simplify -0.125 into -0.125 6.334 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- N)) 2)) (+ (* -0.5 (/ 1 (- N))) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 6.334 * * * [progress]: simplifying candidates 6.336 * [simplify]: Simplifying: (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt 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1.0) N))) (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.25 N) (* 1/4 (log 1.0))) (+ (* 1/8 (/ (pow N 2) (pow 1.0 2))) (* 1/4 (log N)))) (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.25 N) (* 1/4 (log 1.0))) (+ (* 1/8 (/ (pow N 2) (pow 1.0 2))) (* 1/4 (log N)))) (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 6.340 * * [simplify]: Extracting # 0 : cost 0 6.340 * * [simplify]: Extracting # 1 : cost 0 6.340 * * [simplify]: Extracting # 2 : cost 0 6.340 * * [simplify]: Extracting # 3 : cost 0 6.341 * * [simplify]: Extracting # 4 : cost 0 6.341 * * [simplify]: Extracting # 5 : cost 0 6.341 * * [simplify]: Extracting # 6 : cost 0 6.342 * * [simplify]: Extracting # 7 : cost 0 6.342 * * [simplify]: Extracting # 8 : cost 0 6.342 * * [simplify]: Extracting # 9 : cost 0 6.343 * * [simplify]: iteration 0 : 202 enodes (cost 2064 ) 6.404 * * [simplify]: Extracting # 0 : cost 0 6.404 * * [simplify]: Extracting # 1 : cost 0 6.405 * * [simplify]: Extracting # 2 : cost 0 6.405 * * [simplify]: Extracting # 3 : cost 0 6.406 * * [simplify]: iteration 1 : 309 enodes (cost 1935 ) 6.509 * * [simplify]: Extracting # 0 : cost 0 6.510 * * [simplify]: Extracting # 1 : cost 0 6.512 * * [simplify]: Extracting # 2 : cost 0 6.513 * * [simplify]: Extracting # 3 : cost 0 6.515 * * [simplify]: Extracting # 4 : cost 0 6.516 * * [simplify]: iteration 2 : 685 enodes (cost 1765 ) 6.917 * * [simplify]: Extracting # 0 : cost 0 6.921 * * [simplify]: Extracting # 1 : cost 0 6.926 * * [simplify]: Extracting # 2 : cost 0 6.929 * * [simplify]: Extracting # 3 : cost 0 6.935 * * [simplify]: Extracting # 4 : cost 0 6.938 * * [simplify]: iteration 3 : 2435 enodes (cost 1761 ) 7.820 * * [simplify]: Extracting # 0 : cost 0 7.828 * * [simplify]: Extracting # 1 : cost 0 7.837 * * [simplify]: Extracting # 2 : cost 0 7.848 * * [simplify]: Extracting # 3 : cost 0 7.855 * * [simplify]: Extracting # 4 : cost 0 7.861 * * [simplify]: iteration done: 5001 enodes (cost 1761 ) 7.862 * [simplify]: Simplified to: (* 2 (log (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (fabs (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (fabs (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 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(pow N 3))) (/ 0.25 (pow N 2))) (- (+ (/ 0.5 N) (/ 0.16666666666666666 (pow N 3))) (/ 0.25 (pow N 2))) (- (* 1/4 (- (log 1.0) (log N))) (- (* 1/8 (/ (pow N 2) (pow 1.0 2))) (* 0.25 N))) (+ (- (/ 0.25 N) (/ 0.125 (pow N 2))) (/ 0.08333333333333333 (pow N 3))) (+ (- (/ 0.25 N) (/ 0.125 (pow N 2))) (/ 0.08333333333333333 (pow N 3))) (- (* 1/4 (- (log 1.0) (log N))) (- (* 1/8 (/ (pow N 2) (pow 1.0 2))) (* 0.25 N))) (+ (- (/ 0.25 N) (/ 0.125 (pow N 2))) (/ 0.08333333333333333 (pow N 3))) (+ (- (/ 0.25 N) (/ 0.125 (pow N 2))) (/ 0.08333333333333333 (pow N 3))) (- (+ (* +nan.0 (- (pow N 2) N)) +nan.0)) (+ (/ 0.5 N) (- 1 (/ 0.125 (pow N 2)))) (+ (/ 0.5 N) (- 1 (/ 0.125 (pow N 2)))) 7.863 * * * [progress]: adding candidates to table 8.395 * [progress]: [Phase 3 of 3] Extracting. 8.395 * * [regime]: Finding splitpoints for: (# # # #) 8.397 * * * [regime-changes]: Trying 1 branch expressions: (N) 8.397 * * * * [regimes]: Trying to branch on N from (# # # #) 8.436 * * * [regime]: Found split indices: #