25.198 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.075 * * * [progress]: [2/2] Setting up program. 0.078 * [progress]: [Phase 2 of 3] Improving. 0.078 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.079 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.079 * * [simplify]: Extracting # 1 : cost 3 inf + 0 0.079 * * [simplify]: Extracting # 2 : cost 5 inf + 0 0.079 * * [simplify]: Extracting # 3 : cost 5 inf + 1 0.079 * * [simplify]: Extracting # 4 : cost 0 inf + 449 0.079 * * [simplify]: iteration 0 : 6 enodes (cost 222 ) 0.079 * * [simplify]: Extracting # 0 : cost 0 inf + 449 0.080 * * [simplify]: Extracting # 1 : cost 1 inf + 449 0.080 * * [simplify]: Extracting # 2 : cost 0 inf + 560 0.080 * * [simplify]: iteration 1 : 9 enodes (cost 222 ) 0.081 * * [simplify]: Extracting # 0 : cost 0 inf + 560 0.081 * * [simplify]: iteration 2 : 10 enodes (cost 222 ) 0.082 * * [simplify]: Extracting # 0 : cost 0 inf + 560 0.082 * * [simplify]: iteration done: 10 enodes (cost 222 ) 0.082 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.082 * * [progress]: iteration 1 / 4 0.082 * * * [progress]: picking best candidate 0.086 * * * * [pick]: Picked # 0.086 * * * [progress]: localizing error 0.123 * * * [progress]: generating rewritten candidates 0.123 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.131 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.150 * * * [progress]: generating series expansions 0.150 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.151 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.151 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.151 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.151 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.151 * [taylor]: Taking taylor expansion of N in N 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [taylor]: Taking taylor expansion of 1.0 in N 0.151 * [backup-simplify]: Simplify 1.0 into 1.0 0.152 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.152 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.152 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.152 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [taylor]: Taking taylor expansion of 1.0 in N 0.152 * [backup-simplify]: Simplify 1.0 into 1.0 0.153 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.153 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.154 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.154 * [backup-simplify]: Simplify (+ 1 0) into 1 0.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.160 * [backup-simplify]: Simplify 1.0 into 1.0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [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)) 0.174 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.176 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.176 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.176 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.176 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [taylor]: Taking taylor expansion of 1.0 in N 0.177 * [backup-simplify]: Simplify 1.0 into 1.0 0.177 * [backup-simplify]: Simplify (+ 1 0) into 1 0.177 * [backup-simplify]: Simplify (log 1) into 0 0.177 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [taylor]: Taking taylor expansion of 1.0 in N 0.178 * [backup-simplify]: Simplify 1.0 into 1.0 0.178 * [backup-simplify]: Simplify (+ 1 0) into 1 0.179 * [backup-simplify]: Simplify (log 1) into 0 0.180 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.181 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.189 * [backup-simplify]: Simplify 1.0 into 1.0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [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 0.202 * [backup-simplify]: Simplify -0.5 into -0.5 0.202 * [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)))) 0.202 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.202 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.202 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.203 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.203 * [taylor]: Taking taylor expansion of 1.0 in N 0.203 * [backup-simplify]: Simplify 1.0 into 1.0 0.203 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [backup-simplify]: Simplify (- 1) into -1 0.204 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.204 * [backup-simplify]: Simplify (log -1) into (log -1) 0.204 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.204 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.204 * [taylor]: Taking taylor expansion of 1.0 in N 0.204 * [backup-simplify]: Simplify 1.0 into 1.0 0.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [backup-simplify]: Simplify (- 1) into -1 0.206 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.206 * [backup-simplify]: Simplify (log -1) into (log -1) 0.207 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.207 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (- 0) into 0 0.209 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.216 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.216 * [backup-simplify]: Simplify -1.0 into -1.0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (- 0) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [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 0.228 * [backup-simplify]: Simplify -0.5 into -0.5 0.229 * [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)))) 0.229 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.229 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.229 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.229 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.230 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.230 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.230 * [taylor]: Taking taylor expansion of N in N 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [taylor]: Taking taylor expansion of 1.0 in N 0.230 * [backup-simplify]: Simplify 1.0 into 1.0 0.230 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.230 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.230 * [taylor]: Taking taylor expansion of (log N) in N 0.231 * [taylor]: Taking taylor expansion of N in N 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (log 1) into 0 0.231 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.231 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.231 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.231 * [taylor]: Taking taylor expansion of N in N 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of 1.0 in N 0.231 * [backup-simplify]: Simplify 1.0 into 1.0 0.232 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.232 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.232 * [taylor]: Taking taylor expansion of (log N) in N 0.232 * [taylor]: Taking taylor expansion of N in N 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (log 1) into 0 0.233 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.233 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.234 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.234 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.234 * [backup-simplify]: Simplify (+ 1 0) into 1 0.240 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.242 * [backup-simplify]: Simplify (- 0) into 0 0.242 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.242 * [backup-simplify]: Simplify 1.0 into 1.0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [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)) 0.261 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.267 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.271 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.271 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.271 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.271 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.271 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.272 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.272 * [taylor]: Taking taylor expansion of N in N 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [taylor]: Taking taylor expansion of 1.0 in N 0.272 * [backup-simplify]: Simplify 1.0 into 1.0 0.273 * [backup-simplify]: Simplify (+ 1 0) into 1 0.273 * [backup-simplify]: Simplify (log 1) into 0 0.273 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.273 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.273 * [taylor]: Taking taylor expansion of N in N 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [backup-simplify]: Simplify (log 1) into 0 0.274 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.274 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.274 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.274 * [taylor]: Taking taylor expansion of N in N 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [taylor]: Taking taylor expansion of 1.0 in N 0.275 * [backup-simplify]: Simplify 1.0 into 1.0 0.275 * [backup-simplify]: Simplify (+ 1 0) into 1 0.275 * [backup-simplify]: Simplify (log 1) into 0 0.275 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.275 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.275 * [taylor]: Taking taylor expansion of N in N 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [backup-simplify]: Simplify (log 1) into 0 0.277 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.277 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.278 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.278 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.286 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.291 * [backup-simplify]: Simplify 1.0 into 1.0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [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 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.308 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.309 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [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 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.334 * [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 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.335 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.336 * [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)))) 0.337 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.337 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.337 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.337 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.337 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.337 * [taylor]: Taking taylor expansion of 1.0 in N 0.337 * [backup-simplify]: Simplify 1.0 into 1.0 0.337 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.337 * [taylor]: Taking taylor expansion of N in N 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [backup-simplify]: Simplify (- 1) into -1 0.338 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.338 * [backup-simplify]: Simplify (log -1) into (log -1) 0.339 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.339 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.339 * [taylor]: Taking taylor expansion of -1 in N 0.339 * [backup-simplify]: Simplify -1 into -1 0.339 * [taylor]: Taking taylor expansion of N in N 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (/ -1 1) into -1 0.339 * [backup-simplify]: Simplify (log -1) into (log -1) 0.340 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.340 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.340 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.340 * [taylor]: Taking taylor expansion of 1.0 in N 0.340 * [backup-simplify]: Simplify 1.0 into 1.0 0.340 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.340 * [taylor]: Taking taylor expansion of N in N 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (/ 1 1) into 1 0.340 * [backup-simplify]: Simplify (- 1) into -1 0.341 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.341 * [backup-simplify]: Simplify (log -1) into (log -1) 0.341 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.341 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.341 * [taylor]: Taking taylor expansion of -1 in N 0.341 * [backup-simplify]: Simplify -1 into -1 0.341 * [taylor]: Taking taylor expansion of N in N 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (/ -1 1) into -1 0.342 * [backup-simplify]: Simplify (log -1) into (log -1) 0.343 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.344 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.344 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.345 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.354 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.358 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [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 0.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.375 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.376 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (- 0) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [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 0.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.404 * [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 0.405 * [backup-simplify]: Simplify (- 0) into 0 0.405 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.406 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.408 * [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)))) 0.408 * * * [progress]: simplifying candidates 0.409 * [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)) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.411 * * [simplify]: Extracting # 0 : cost 42 inf + 0 0.411 * * [simplify]: Extracting # 1 : cost 71 inf + 0 0.411 * * [simplify]: Extracting # 2 : cost 89 inf + 73 0.411 * * [simplify]: Extracting # 3 : cost 82 inf + 1282 0.412 * * [simplify]: Extracting # 4 : cost 58 inf + 4880 0.413 * * [simplify]: Extracting # 5 : cost 23 inf + 12838 0.414 * * [simplify]: Extracting # 6 : cost 7 inf + 18502 0.415 * * [simplify]: Extracting # 7 : cost 0 inf + 22422 0.417 * * [simplify]: iteration 0 : 101 enodes (cost 15630 ) 0.435 * * [simplify]: Extracting # 0 : cost 0 inf + 22422 0.437 * * [simplify]: Extracting # 1 : cost 33 inf + 20175 0.439 * * [simplify]: Extracting # 2 : cost 5 inf + 23942 0.442 * * [simplify]: Extracting # 3 : cost 4 inf + 21853 0.444 * * [simplify]: Extracting # 4 : cost 0 inf + 22671 0.450 * * [simplify]: iteration 1 : 213 enodes (cost 12900 ) 0.511 * * [simplify]: Extracting # 0 : cost 0 inf + 22671 0.515 * * [simplify]: Extracting # 1 : cost 152 inf + 21078 0.521 * * [simplify]: Extracting # 2 : cost 5 inf + 44466 0.533 * * [simplify]: Extracting # 3 : cost 4 inf + 43825 0.541 * * [simplify]: Extracting # 4 : cost 0 inf + 44774 0.547 * * [simplify]: iteration 2 : 645 enodes (cost 12195 ) 0.903 * * [simplify]: Extracting # 0 : cost 0 inf + 44774 0.916 * * [simplify]: Extracting # 1 : cost 795 inf + 36191 0.958 * * [simplify]: Extracting # 2 : cost 5 inf + 151224 0.991 * * [simplify]: Extracting # 3 : cost 1 inf + 151814 1.020 * * [simplify]: Extracting # 4 : cost 0 inf + 152020 1.067 * * [simplify]: iteration 3 : 2789 enodes (cost 12195 ) 1.718 * * [simplify]: Extracting # 0 : cost 0 inf + 152020 1.816 * * [simplify]: Extracting # 1 : cost 1083 inf + 95815 1.868 * * [simplify]: Extracting # 2 : cost 165 inf + 194793 1.906 * * [simplify]: Extracting # 3 : cost 48 inf + 209445 1.974 * * [simplify]: Extracting # 4 : cost 0 inf + 223627 2.016 * * [simplify]: iteration done: 5000 enodes (cost 12044 ) 2.017 * [simplify]: Simplified to: (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (* N (* N N)) (* (* 1.0 1.0) 1.0))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (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))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (* (log N) (* (log N) (log N)))) (+ (* (log N) (+ (log (+ N 1.0)) (log N))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (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 (+ (* N N) (* 1.0 (- 1.0 N))))) (+ (log (- N 1.0)) (log N)) (- (log N)) (+ (log 1.0) (- (* 1.0 N) (* 1/2 (* (/ N 1.0) (/ N 1.0))))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (- (+ (log 1.0) (* 1.0 N)) (log N)) (* 1/2 (* (/ N 1.0) (/ N 1.0)))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) 2.019 * * * [progress]: adding candidates to table 2.227 * * [progress]: iteration 2 / 4 2.227 * * * [progress]: picking best candidate 2.237 * * * * [pick]: Picked # 2.237 * * * [progress]: localizing error 2.250 * * * [progress]: generating rewritten candidates 2.250 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.260 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.292 * * * [progress]: generating series expansions 2.292 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.292 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 2.292 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 2.292 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.292 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.292 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.292 * [taylor]: Taking taylor expansion of N in N 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify 1 into 1 2.292 * [taylor]: Taking taylor expansion of 1.0 in N 2.292 * [backup-simplify]: Simplify 1.0 into 1.0 2.292 * [taylor]: Taking taylor expansion of N in N 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify 1 into 1 2.293 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.293 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.294 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.294 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.294 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.294 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.294 * [taylor]: Taking taylor expansion of N in N 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 1 into 1 2.294 * [taylor]: Taking taylor expansion of 1.0 in N 2.294 * [backup-simplify]: Simplify 1.0 into 1.0 2.294 * [taylor]: Taking taylor expansion of N in N 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 1 into 1 2.295 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.295 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.295 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.296 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.297 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 2.297 * [backup-simplify]: Simplify (+ 1 0) into 1 2.298 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.304 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.304 * [backup-simplify]: Simplify 1.0 into 1.0 2.304 * [backup-simplify]: Simplify (+ 0 0) into 0 2.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.317 * [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)) 2.322 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 2.323 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 2.323 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 2.323 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 2.323 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.323 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.323 * [taylor]: Taking taylor expansion of N in N 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 1 into 1 2.323 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.323 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.323 * [taylor]: Taking taylor expansion of N in N 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 1 into 1 2.324 * [backup-simplify]: Simplify (/ 1 1) into 1 2.324 * [taylor]: Taking taylor expansion of 1.0 in N 2.324 * [backup-simplify]: Simplify 1.0 into 1.0 2.324 * [backup-simplify]: Simplify (+ 1 0) into 1 2.324 * [backup-simplify]: Simplify (* 0 1) into 0 2.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.325 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.325 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.326 * [backup-simplify]: Simplify (log 1) into 0 2.326 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.326 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.326 * [taylor]: Taking taylor expansion of N in N 2.326 * [backup-simplify]: Simplify 0 into 0 2.326 * [backup-simplify]: Simplify 1 into 1 2.326 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.326 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.326 * [taylor]: Taking taylor expansion of N in N 2.326 * [backup-simplify]: Simplify 0 into 0 2.326 * [backup-simplify]: Simplify 1 into 1 2.326 * [backup-simplify]: Simplify (/ 1 1) into 1 2.326 * [taylor]: Taking taylor expansion of 1.0 in N 2.326 * [backup-simplify]: Simplify 1.0 into 1.0 2.326 * [backup-simplify]: Simplify (+ 1 0) into 1 2.327 * [backup-simplify]: Simplify (* 0 1) into 0 2.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.327 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.328 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.328 * [backup-simplify]: Simplify (log 1) into 0 2.328 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.329 * [backup-simplify]: Simplify (+ 0 0) into 0 2.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.334 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.335 * [backup-simplify]: Simplify 1.0 into 1.0 2.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.335 * [backup-simplify]: Simplify (+ 0 0) into 0 2.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.343 * [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 2.343 * [backup-simplify]: Simplify -0.5 into -0.5 2.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.344 * [backup-simplify]: Simplify (+ 0 0) into 0 2.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.361 * [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 2.361 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.362 * [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)))) 2.362 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 2.362 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 2.362 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.362 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.363 * [taylor]: Taking taylor expansion of -1 in N 2.363 * [backup-simplify]: Simplify -1 into -1 2.363 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.363 * [taylor]: Taking taylor expansion of N in N 2.363 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify 1 into 1 2.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.363 * [taylor]: Taking taylor expansion of 1.0 in N 2.363 * [backup-simplify]: Simplify 1.0 into 1.0 2.363 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.363 * [taylor]: Taking taylor expansion of N in N 2.363 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify 1 into 1 2.363 * [backup-simplify]: Simplify (/ 1 1) into 1 2.364 * [backup-simplify]: Simplify (- 1) into -1 2.364 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.365 * [backup-simplify]: Simplify (* 0 -1) into 0 2.365 * [backup-simplify]: Simplify (* -1 0) into 0 2.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.366 * [backup-simplify]: Simplify (- 0) into 0 2.367 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.367 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.368 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.368 * [backup-simplify]: Simplify (log 1) into 0 2.368 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.368 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.368 * [taylor]: Taking taylor expansion of -1 in N 2.369 * [backup-simplify]: Simplify -1 into -1 2.369 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.369 * [taylor]: Taking taylor expansion of N in N 2.369 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify 1 into 1 2.369 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.369 * [taylor]: Taking taylor expansion of 1.0 in N 2.369 * [backup-simplify]: Simplify 1.0 into 1.0 2.369 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.369 * [taylor]: Taking taylor expansion of N in N 2.369 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify 1 into 1 2.369 * [backup-simplify]: Simplify (/ 1 1) into 1 2.370 * [backup-simplify]: Simplify (- 1) into -1 2.370 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.370 * [backup-simplify]: Simplify (* 0 -1) into 0 2.371 * [backup-simplify]: Simplify (* -1 0) into 0 2.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.372 * [backup-simplify]: Simplify (- 0) into 0 2.372 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.373 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.374 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.375 * [backup-simplify]: Simplify (log 1) into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.376 * [backup-simplify]: Simplify (- 0) into 0 2.376 * [backup-simplify]: Simplify (+ 0 0) into 0 2.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.382 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.389 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 2.389 * [backup-simplify]: Simplify -1.0 into -1.0 2.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.391 * [backup-simplify]: Simplify (- 0) into 0 2.391 * [backup-simplify]: Simplify (+ 0 0) into 0 2.392 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.394 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.407 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.407 * [backup-simplify]: Simplify -0.5 into -0.5 2.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.408 * [backup-simplify]: Simplify (- 0) into 0 2.409 * [backup-simplify]: Simplify (+ 0 0) into 0 2.410 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.411 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.431 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 2.432 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.432 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.432 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.432 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 2.432 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 2.432 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.432 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.433 * [taylor]: Taking taylor expansion of N in N 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify 1 into 1 2.433 * [taylor]: Taking taylor expansion of 1.0 in N 2.433 * [backup-simplify]: Simplify 1.0 into 1.0 2.433 * [taylor]: Taking taylor expansion of N in N 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify 1 into 1 2.433 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.434 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.434 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.434 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.434 * [taylor]: Taking taylor expansion of N in N 2.434 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify 1 into 1 2.434 * [taylor]: Taking taylor expansion of 1.0 in N 2.434 * [backup-simplify]: Simplify 1.0 into 1.0 2.434 * [taylor]: Taking taylor expansion of N in N 2.434 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify 1 into 1 2.434 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.435 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.435 * [backup-simplify]: Simplify 1.0 into 1.0 2.435 * [backup-simplify]: Simplify (+ 1 0) into 1 2.436 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.436 * [backup-simplify]: Simplify 1 into 1 2.437 * [backup-simplify]: Simplify (+ 0 0) into 0 2.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify (+ 0 0) into 0 2.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.439 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify (+ 0 0) into 0 2.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify (+ 0 0) into 0 2.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.443 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify (+ 0 0) into 0 2.444 * [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 2.444 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify (+ 0 0) into 0 2.446 * [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 2.446 * [backup-simplify]: Simplify 0 into 0 2.446 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 2.446 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 2.446 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 2.446 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.446 * [taylor]: Taking taylor expansion of N in N 2.446 * [backup-simplify]: Simplify 0 into 0 2.446 * [backup-simplify]: Simplify 1 into 1 2.446 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.446 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.446 * [taylor]: Taking taylor expansion of N in N 2.446 * [backup-simplify]: Simplify 0 into 0 2.446 * [backup-simplify]: Simplify 1 into 1 2.449 * [backup-simplify]: Simplify (/ 1 1) into 1 2.449 * [taylor]: Taking taylor expansion of 1.0 in N 2.449 * [backup-simplify]: Simplify 1.0 into 1.0 2.449 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.449 * [taylor]: Taking taylor expansion of N in N 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.449 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.449 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.449 * [taylor]: Taking taylor expansion of N in N 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.450 * [backup-simplify]: Simplify (/ 1 1) into 1 2.450 * [taylor]: Taking taylor expansion of 1.0 in N 2.450 * [backup-simplify]: Simplify 1.0 into 1.0 2.450 * [backup-simplify]: Simplify (+ 1 0) into 1 2.451 * [backup-simplify]: Simplify (* 0 1) into 0 2.451 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.452 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.453 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.453 * [backup-simplify]: Simplify 1 into 1 2.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.454 * [backup-simplify]: Simplify (+ 0 0) into 0 2.457 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.457 * [backup-simplify]: Simplify 1.0 into 1.0 2.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.458 * [backup-simplify]: Simplify (+ 0 0) into 0 2.459 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.460 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.461 * [backup-simplify]: Simplify (+ 0 0) into 0 2.463 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.463 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.464 * [backup-simplify]: Simplify (+ 0 0) into 0 2.466 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 2.466 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.468 * [backup-simplify]: Simplify (+ 0 0) into 0 2.469 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.470 * [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 2.470 * [backup-simplify]: Simplify (+ 0 0) into 0 2.472 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.473 * [backup-simplify]: Simplify (+ 0 0) into 0 2.474 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.474 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 2.474 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 2.474 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.474 * [taylor]: Taking taylor expansion of -1 in N 2.474 * [backup-simplify]: Simplify -1 into -1 2.474 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.474 * [taylor]: Taking taylor expansion of N in N 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify 1 into 1 2.474 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.474 * [taylor]: Taking taylor expansion of 1.0 in N 2.474 * [backup-simplify]: Simplify 1.0 into 1.0 2.474 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.474 * [taylor]: Taking taylor expansion of N in N 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify 1 into 1 2.474 * [backup-simplify]: Simplify (/ 1 1) into 1 2.475 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.475 * [taylor]: Taking taylor expansion of -1 in N 2.475 * [backup-simplify]: Simplify -1 into -1 2.475 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.475 * [taylor]: Taking taylor expansion of N in N 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify 1 into 1 2.475 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.475 * [taylor]: Taking taylor expansion of 1.0 in N 2.475 * [backup-simplify]: Simplify 1.0 into 1.0 2.475 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.475 * [taylor]: Taking taylor expansion of N in N 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify 1 into 1 2.475 * [backup-simplify]: Simplify (/ 1 1) into 1 2.475 * [backup-simplify]: Simplify (- 1) into -1 2.475 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.476 * [backup-simplify]: Simplify (* 0 -1) into 0 2.476 * [backup-simplify]: Simplify (* -1 0) into 0 2.476 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.477 * [backup-simplify]: Simplify (- 0) into 0 2.477 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.477 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.478 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.478 * [backup-simplify]: Simplify 1 into 1 2.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.479 * [backup-simplify]: Simplify (- 0) into 0 2.479 * [backup-simplify]: Simplify (+ 0 0) into 0 2.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.482 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.482 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.483 * [backup-simplify]: Simplify (- 0) into 0 2.483 * [backup-simplify]: Simplify (+ 0 0) into 0 2.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.484 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.484 * [backup-simplify]: Simplify 0 into 0 2.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.485 * [backup-simplify]: Simplify (- 0) into 0 2.485 * [backup-simplify]: Simplify (+ 0 0) into 0 2.486 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.487 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.487 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.488 * [backup-simplify]: Simplify (- 0) into 0 2.488 * [backup-simplify]: Simplify (+ 0 0) into 0 2.489 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.490 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 2.490 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.491 * [backup-simplify]: Simplify (- 0) into 0 2.491 * [backup-simplify]: Simplify (+ 0 0) into 0 2.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.493 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [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 2.494 * [backup-simplify]: Simplify (- 0) into 0 2.494 * [backup-simplify]: Simplify (+ 0 0) into 0 2.495 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.496 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 2.496 * [backup-simplify]: Simplify 0 into 0 2.497 * [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 2.497 * [backup-simplify]: Simplify (- 0) into 0 2.497 * [backup-simplify]: Simplify (+ 0 0) into 0 2.499 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 2.501 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 2.501 * [backup-simplify]: Simplify 0 into 0 2.501 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.502 * * * [progress]: simplifying candidates 2.503 * [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)) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 2.504 * * [simplify]: Extracting # 0 : cost 67 inf + 0 2.504 * * [simplify]: Extracting # 1 : cost 87 inf + 0 2.504 * * [simplify]: Extracting # 2 : cost 94 inf + 73 2.504 * * [simplify]: Extracting # 3 : cost 74 inf + 2666 2.505 * * [simplify]: Extracting # 4 : cost 31 inf + 10069 2.506 * * [simplify]: Extracting # 5 : cost 11 inf + 14883 2.508 * * [simplify]: Extracting # 6 : cost 7 inf + 15935 2.509 * * [simplify]: Extracting # 7 : cost 4 inf + 17014 2.510 * * [simplify]: Extracting # 8 : cost 2 inf + 18112 2.511 * * [simplify]: Extracting # 9 : cost 1 inf + 18527 2.513 * * [simplify]: Extracting # 10 : cost 0 inf + 19274 2.514 * * [simplify]: iteration 0 : 108 enodes (cost 17921 ) 2.532 * * [simplify]: Extracting # 0 : cost 0 inf + 19274 2.534 * * [simplify]: Extracting # 1 : cost 46 inf + 16927 2.536 * * [simplify]: Extracting # 2 : cost 2 inf + 23777 2.540 * * [simplify]: Extracting # 3 : cost 0 inf + 22372 2.543 * * [simplify]: Extracting # 4 : cost 0 inf + 21690 2.545 * * [simplify]: iteration 1 : 243 enodes (cost 15986 ) 2.681 * * [simplify]: Extracting # 0 : cost 0 inf + 21690 2.685 * * [simplify]: Extracting # 1 : cost 336 inf + 20206 2.693 * * [simplify]: Extracting # 2 : cost 2 inf + 61581 2.703 * * [simplify]: Extracting # 3 : cost 0 inf + 61554 2.715 * * [simplify]: Extracting # 4 : cost 0 inf + 61354 2.729 * * [simplify]: iteration 2 : 1007 enodes (cost 15504 ) 2.974 * * [simplify]: Extracting # 0 : cost 0 inf + 61354 2.992 * * [simplify]: Extracting # 1 : cost 2412 inf + 51244 3.061 * * [simplify]: Extracting # 2 : cost 28 inf + 346486 3.143 * * [simplify]: Extracting # 3 : cost 8 inf + 348847 3.235 * * [simplify]: Extracting # 4 : cost 0 inf + 350870 3.339 * * [simplify]: iteration done: 5000 enodes (cost 15504 ) 3.340 * [simplify]: Simplified to: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (* (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ 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) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (* (/ (+ N 1.0) N) (* (/ (+ N 1.0) N) (/ (+ N 1.0) N))) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (/ (+ N 1.0) N) (* (/ (+ N 1.0) N) (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (* (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (cbrt (+ N 1.0)) (cbrt N))) (/ (cbrt (+ 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)) (* N (+ (* N N) (* 1.0 (- 1.0 N)))) (* N (- N 1.0)) (+ (- (- (* 1.0 N) (log N)) (* 1/2 (* (/ N 1.0) (/ N 1.0)))) (log 1.0)) (+ (/ 0.3333333333333333 (* (* N N) N)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (* (* N N) N)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) 3.346 * * * [progress]: adding candidates to table 3.575 * * [progress]: iteration 3 / 4 3.575 * * * [progress]: picking best candidate 3.597 * * * * [pick]: Picked # 3.598 * * * [progress]: localizing error 3.632 * * * [progress]: generating rewritten candidates 3.632 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.643 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.654 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.663 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.674 * * * [progress]: generating series expansions 3.674 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.674 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1.0) N))) into (log (sqrt (/ (+ N 1.0) N))) 3.674 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 3.674 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.674 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.675 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.675 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.675 * [taylor]: Taking taylor expansion of N in N 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [taylor]: Taking taylor expansion of 1.0 in N 3.675 * [backup-simplify]: Simplify 1.0 into 1.0 3.675 * [taylor]: Taking taylor expansion of N in N 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.676 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.676 * [backup-simplify]: Simplify (sqrt 0) into 0 3.677 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.677 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.677 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.677 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.677 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.677 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.677 * [taylor]: Taking taylor expansion of N in N 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify 1 into 1 3.678 * [taylor]: Taking taylor expansion of 1.0 in N 3.678 * [backup-simplify]: Simplify 1.0 into 1.0 3.678 * [taylor]: Taking taylor expansion of N in N 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify 1 into 1 3.678 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.678 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.678 * [backup-simplify]: Simplify (sqrt 0) into 0 3.679 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.680 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.680 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.680 * [backup-simplify]: Simplify (+ 1 0) into 1 3.681 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.682 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.687 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 3.687 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.688 * [backup-simplify]: Simplify (+ 0 0) into 0 3.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.698 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.714 * [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 3.714 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.714 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 3.715 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 3.715 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 3.715 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.715 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.715 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.715 * [taylor]: Taking taylor expansion of N in N 3.715 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify 1 into 1 3.715 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.715 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.715 * [taylor]: Taking taylor expansion of N in N 3.715 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify 1 into 1 3.715 * [backup-simplify]: Simplify (/ 1 1) into 1 3.716 * [taylor]: Taking taylor expansion of 1.0 in N 3.716 * [backup-simplify]: Simplify 1.0 into 1.0 3.716 * [backup-simplify]: Simplify (+ 1 0) into 1 3.716 * [backup-simplify]: Simplify (* 0 1) into 0 3.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.718 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.718 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.719 * [backup-simplify]: Simplify (sqrt 1) into 1 3.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.720 * [backup-simplify]: Simplify (+ 0 0) into 0 3.723 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.725 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.725 * [backup-simplify]: Simplify (log 1) into 0 3.725 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.725 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.725 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.725 * [taylor]: Taking taylor expansion of N in N 3.725 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify 1 into 1 3.725 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.725 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.725 * [taylor]: Taking taylor expansion of N in N 3.725 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify 1 into 1 3.726 * [backup-simplify]: Simplify (/ 1 1) into 1 3.726 * [taylor]: Taking taylor expansion of 1.0 in N 3.726 * [backup-simplify]: Simplify 1.0 into 1.0 3.726 * [backup-simplify]: Simplify (+ 1 0) into 1 3.727 * [backup-simplify]: Simplify (* 0 1) into 0 3.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.729 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.730 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.730 * [backup-simplify]: Simplify (sqrt 1) into 1 3.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.732 * [backup-simplify]: Simplify (+ 0 0) into 0 3.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.736 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.736 * [backup-simplify]: Simplify (log 1) into 0 3.736 * [backup-simplify]: Simplify 0 into 0 3.743 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 3.743 * [backup-simplify]: Simplify 0.5 into 0.5 3.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.745 * [backup-simplify]: Simplify (+ 0 0) into 0 3.746 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.749 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.757 * [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 3.757 * [backup-simplify]: Simplify -0.25 into -0.25 3.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.758 * [backup-simplify]: Simplify (+ 0 0) into 0 3.759 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 3.776 * [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 3.776 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 3.776 * [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)))) 3.776 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 3.776 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 3.776 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.776 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.776 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.776 * [taylor]: Taking taylor expansion of -1 in N 3.776 * [backup-simplify]: Simplify -1 into -1 3.776 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.776 * [taylor]: Taking taylor expansion of N in N 3.776 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify 1 into 1 3.776 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.776 * [taylor]: Taking taylor expansion of 1.0 in N 3.777 * [backup-simplify]: Simplify 1.0 into 1.0 3.777 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.777 * [taylor]: Taking taylor expansion of N in N 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify 1 into 1 3.777 * [backup-simplify]: Simplify (/ 1 1) into 1 3.777 * [backup-simplify]: Simplify (- 1) into -1 3.778 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.778 * [backup-simplify]: Simplify (* 0 -1) into 0 3.779 * [backup-simplify]: Simplify (* -1 0) into 0 3.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.780 * [backup-simplify]: Simplify (- 0) into 0 3.780 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.781 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.782 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.782 * [backup-simplify]: Simplify (sqrt 1) into 1 3.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.783 * [backup-simplify]: Simplify (- 0) into 0 3.784 * [backup-simplify]: Simplify (+ 0 0) into 0 3.786 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.787 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.788 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.789 * [backup-simplify]: Simplify (log 1) into 0 3.789 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.789 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.789 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.789 * [taylor]: Taking taylor expansion of -1 in N 3.789 * [backup-simplify]: Simplify -1 into -1 3.789 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.789 * [taylor]: Taking taylor expansion of N in N 3.789 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify 1 into 1 3.789 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.789 * [taylor]: Taking taylor expansion of 1.0 in N 3.789 * [backup-simplify]: Simplify 1.0 into 1.0 3.789 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.789 * [taylor]: Taking taylor expansion of N in N 3.789 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify 1 into 1 3.789 * [backup-simplify]: Simplify (/ 1 1) into 1 3.789 * [backup-simplify]: Simplify (- 1) into -1 3.790 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.790 * [backup-simplify]: Simplify (* 0 -1) into 0 3.790 * [backup-simplify]: Simplify (* -1 0) into 0 3.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.791 * [backup-simplify]: Simplify (- 0) into 0 3.791 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.792 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.792 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.792 * [backup-simplify]: Simplify (sqrt 1) into 1 3.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.793 * [backup-simplify]: Simplify (- 0) into 0 3.793 * [backup-simplify]: Simplify (+ 0 0) into 0 3.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.796 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.797 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.797 * [backup-simplify]: Simplify (log 1) into 0 3.798 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 3.801 * [backup-simplify]: Simplify -0.5 into -0.5 3.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.802 * [backup-simplify]: Simplify (- 0) into 0 3.802 * [backup-simplify]: Simplify (+ 0 0) into 0 3.803 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.804 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.807 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.818 * [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 3.818 * [backup-simplify]: Simplify -0.25 into -0.25 3.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.819 * [backup-simplify]: Simplify (- 0) into 0 3.819 * [backup-simplify]: Simplify (+ 0 0) into 0 3.821 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.822 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.827 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 3.850 * [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 3.850 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 3.850 * [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)))) 3.850 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.850 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1.0) N))) into (log (sqrt (/ (+ N 1.0) N))) 3.850 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 3.850 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.850 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.850 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.850 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.850 * [taylor]: Taking taylor expansion of N in N 3.850 * [backup-simplify]: Simplify 0 into 0 3.851 * [backup-simplify]: Simplify 1 into 1 3.851 * [taylor]: Taking taylor expansion of 1.0 in N 3.851 * [backup-simplify]: Simplify 1.0 into 1.0 3.851 * [taylor]: Taking taylor expansion of N in N 3.851 * [backup-simplify]: Simplify 0 into 0 3.851 * [backup-simplify]: Simplify 1 into 1 3.851 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.851 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.851 * [backup-simplify]: Simplify (sqrt 0) into 0 3.852 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.853 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.853 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.853 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.853 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.853 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.853 * [taylor]: Taking taylor expansion of N in N 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify 1 into 1 3.853 * [taylor]: Taking taylor expansion of 1.0 in N 3.853 * [backup-simplify]: Simplify 1.0 into 1.0 3.853 * [taylor]: Taking taylor expansion of N in N 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify 1 into 1 3.853 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.853 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.854 * [backup-simplify]: Simplify (sqrt 0) into 0 3.854 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.855 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.855 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.855 * [backup-simplify]: Simplify (+ 1 0) into 1 3.856 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.858 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.861 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 3.861 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.862 * [backup-simplify]: Simplify (+ 0 0) into 0 3.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.873 * [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 3.873 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.873 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 3.873 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 3.873 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 3.873 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.873 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.873 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.873 * [taylor]: Taking taylor expansion of N in N 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify 1 into 1 3.873 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.873 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.873 * [taylor]: Taking taylor expansion of N in N 3.874 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify 1 into 1 3.874 * [backup-simplify]: Simplify (/ 1 1) into 1 3.874 * [taylor]: Taking taylor expansion of 1.0 in N 3.874 * [backup-simplify]: Simplify 1.0 into 1.0 3.874 * [backup-simplify]: Simplify (+ 1 0) into 1 3.874 * [backup-simplify]: Simplify (* 0 1) into 0 3.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.875 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.876 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.876 * [backup-simplify]: Simplify (sqrt 1) into 1 3.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.876 * [backup-simplify]: Simplify (+ 0 0) into 0 3.878 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.879 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.879 * [backup-simplify]: Simplify (log 1) into 0 3.879 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.879 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.879 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.879 * [taylor]: Taking taylor expansion of N in N 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 1 into 1 3.879 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.879 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.879 * [taylor]: Taking taylor expansion of N in N 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 1 into 1 3.880 * [backup-simplify]: Simplify (/ 1 1) into 1 3.880 * [taylor]: Taking taylor expansion of 1.0 in N 3.880 * [backup-simplify]: Simplify 1.0 into 1.0 3.880 * [backup-simplify]: Simplify (+ 1 0) into 1 3.880 * [backup-simplify]: Simplify (* 0 1) into 0 3.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.881 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.881 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.881 * [backup-simplify]: Simplify (sqrt 1) into 1 3.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.882 * [backup-simplify]: Simplify (+ 0 0) into 0 3.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.885 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.885 * [backup-simplify]: Simplify (log 1) into 0 3.885 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 3.889 * [backup-simplify]: Simplify 0.5 into 0.5 3.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.890 * [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 (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.901 * [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 3.901 * [backup-simplify]: Simplify -0.25 into -0.25 3.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.902 * [backup-simplify]: Simplify (+ 0 0) into 0 3.903 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.907 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 3.930 * [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 3.930 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 3.931 * [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)))) 3.931 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 3.931 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 3.931 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.931 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.931 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.931 * [taylor]: Taking taylor expansion of -1 in N 3.931 * [backup-simplify]: Simplify -1 into -1 3.931 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.931 * [taylor]: Taking taylor expansion of N in N 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 1 into 1 3.931 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.931 * [taylor]: Taking taylor expansion of 1.0 in N 3.931 * [backup-simplify]: Simplify 1.0 into 1.0 3.931 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.931 * [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 * [backup-simplify]: Simplify (/ 1 1) into 1 3.932 * [backup-simplify]: Simplify (- 1) into -1 3.933 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.933 * [backup-simplify]: Simplify (* 0 -1) into 0 3.934 * [backup-simplify]: Simplify (* -1 0) into 0 3.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.935 * [backup-simplify]: Simplify (- 0) into 0 3.936 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.937 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.937 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.938 * [backup-simplify]: Simplify (sqrt 1) into 1 3.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.939 * [backup-simplify]: Simplify (- 0) into 0 3.939 * [backup-simplify]: Simplify (+ 0 0) into 0 3.942 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.944 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.945 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.946 * [backup-simplify]: Simplify (log 1) into 0 3.946 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.946 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.946 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.946 * [taylor]: Taking taylor expansion of -1 in N 3.946 * [backup-simplify]: Simplify -1 into -1 3.946 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 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 3.946 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.946 * [taylor]: Taking taylor expansion of 1.0 in N 3.946 * [backup-simplify]: Simplify 1.0 into 1.0 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 3.946 * [backup-simplify]: Simplify (/ 1 1) into 1 3.947 * [backup-simplify]: Simplify (- 1) into -1 3.947 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.947 * [backup-simplify]: Simplify (* 0 -1) into 0 3.948 * [backup-simplify]: Simplify (* -1 0) into 0 3.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.949 * [backup-simplify]: Simplify (- 0) into 0 3.949 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.950 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.951 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.951 * [backup-simplify]: Simplify (sqrt 1) into 1 3.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.952 * [backup-simplify]: Simplify (- 0) into 0 3.953 * [backup-simplify]: Simplify (+ 0 0) into 0 3.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.957 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.959 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.959 * [backup-simplify]: Simplify (log 1) into 0 3.959 * [backup-simplify]: Simplify 0 into 0 3.965 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 3.965 * [backup-simplify]: Simplify -0.5 into -0.5 3.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.966 * [backup-simplify]: Simplify (- 0) into 0 3.966 * [backup-simplify]: Simplify (+ 0 0) into 0 3.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.968 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.971 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.983 * [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 3.983 * [backup-simplify]: Simplify -0.25 into -0.25 3.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.984 * [backup-simplify]: Simplify (- 0) into 0 3.984 * [backup-simplify]: Simplify (+ 0 0) into 0 3.986 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.987 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.991 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 4.017 * [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 4.017 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 4.017 * [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)))) 4.017 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 4.017 * [backup-simplify]: Simplify (sqrt (/ (+ N 1.0) N)) into (sqrt (/ (+ N 1.0) N)) 4.017 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 4.017 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 4.017 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.018 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.018 * [taylor]: Taking taylor expansion of N in N 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [taylor]: Taking taylor expansion of 1.0 in N 4.018 * [backup-simplify]: Simplify 1.0 into 1.0 4.018 * [taylor]: Taking taylor expansion of N in N 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.019 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.019 * [backup-simplify]: Simplify (sqrt 0) into 0 4.020 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 4.020 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 4.020 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.020 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.020 * [taylor]: Taking taylor expansion of N in N 4.020 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify 1 into 1 4.020 * [taylor]: Taking taylor expansion of 1.0 in N 4.020 * [backup-simplify]: Simplify 1.0 into 1.0 4.020 * [taylor]: Taking taylor expansion of N in N 4.020 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify 1 into 1 4.021 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.021 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.022 * [backup-simplify]: Simplify (sqrt 0) into 0 4.023 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.023 * [backup-simplify]: Simplify (+ 1 0) into 1 4.024 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 4.027 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.027 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.027 * [backup-simplify]: Simplify (+ 0 0) into 0 4.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.034 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.034 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 4.035 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 4.035 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 4.035 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 4.035 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.035 * [taylor]: Taking taylor expansion of N in N 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 1 into 1 4.035 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.035 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.035 * [taylor]: Taking taylor expansion of N in N 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 1 into 1 4.035 * [backup-simplify]: Simplify (/ 1 1) into 1 4.035 * [taylor]: Taking taylor expansion of 1.0 in N 4.035 * [backup-simplify]: Simplify 1.0 into 1.0 4.036 * [backup-simplify]: Simplify (+ 1 0) into 1 4.036 * [backup-simplify]: Simplify (* 0 1) into 0 4.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.037 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.038 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.038 * [backup-simplify]: Simplify (sqrt 1) into 1 4.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.039 * [backup-simplify]: Simplify (+ 0 0) into 0 4.042 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 4.043 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 4.043 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 4.043 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.043 * [taylor]: Taking taylor expansion of N in N 4.043 * [backup-simplify]: Simplify 0 into 0 4.043 * [backup-simplify]: Simplify 1 into 1 4.043 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.043 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.043 * [taylor]: Taking taylor expansion of N in N 4.043 * [backup-simplify]: Simplify 0 into 0 4.043 * [backup-simplify]: Simplify 1 into 1 4.044 * [backup-simplify]: Simplify (/ 1 1) into 1 4.044 * [taylor]: Taking taylor expansion of 1.0 in N 4.044 * [backup-simplify]: Simplify 1.0 into 1.0 4.044 * [backup-simplify]: Simplify (+ 1 0) into 1 4.044 * [backup-simplify]: Simplify (* 0 1) into 0 4.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.046 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.046 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.046 * [backup-simplify]: Simplify (sqrt 1) into 1 4.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.048 * [backup-simplify]: Simplify (+ 0 0) into 0 4.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 4.051 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 4.051 * [backup-simplify]: Simplify 1 into 1 4.051 * [backup-simplify]: Simplify 0.5 into 0.5 4.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.053 * [backup-simplify]: Simplify (+ 0 0) into 0 4.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 4.057 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 4.057 * [backup-simplify]: Simplify -0.125 into -0.125 4.057 * [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)))) 4.057 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 4.057 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 4.058 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.058 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.058 * [taylor]: Taking taylor expansion of -1 in N 4.058 * [backup-simplify]: Simplify -1 into -1 4.058 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.058 * [taylor]: Taking taylor expansion of N in N 4.058 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify 1 into 1 4.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.058 * [taylor]: Taking taylor expansion of 1.0 in N 4.058 * [backup-simplify]: Simplify 1.0 into 1.0 4.058 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.058 * [taylor]: Taking taylor expansion of N in N 4.058 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify 1 into 1 4.058 * [backup-simplify]: Simplify (/ 1 1) into 1 4.059 * [backup-simplify]: Simplify (- 1) into -1 4.059 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.060 * [backup-simplify]: Simplify (* 0 -1) into 0 4.060 * [backup-simplify]: Simplify (* -1 0) into 0 4.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.061 * [backup-simplify]: Simplify (- 0) into 0 4.062 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.062 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.063 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.063 * [backup-simplify]: Simplify (sqrt 1) into 1 4.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.065 * [backup-simplify]: Simplify (- 0) into 0 4.065 * [backup-simplify]: Simplify (+ 0 0) into 0 4.067 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 4.068 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 4.069 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 4.069 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.069 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.069 * [taylor]: Taking taylor expansion of -1 in N 4.069 * [backup-simplify]: Simplify -1 into -1 4.069 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.069 * [taylor]: Taking taylor expansion of N in N 4.069 * [backup-simplify]: Simplify 0 into 0 4.069 * [backup-simplify]: Simplify 1 into 1 4.069 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.069 * [taylor]: Taking taylor expansion of 1.0 in N 4.069 * [backup-simplify]: Simplify 1.0 into 1.0 4.069 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.069 * [taylor]: Taking taylor expansion of N in N 4.069 * [backup-simplify]: Simplify 0 into 0 4.069 * [backup-simplify]: Simplify 1 into 1 4.070 * [backup-simplify]: Simplify (/ 1 1) into 1 4.070 * [backup-simplify]: Simplify (- 1) into -1 4.070 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.070 * [backup-simplify]: Simplify (* 0 -1) into 0 4.071 * [backup-simplify]: Simplify (* -1 0) into 0 4.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.071 * [backup-simplify]: Simplify (- 0) into 0 4.072 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.072 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.073 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.073 * [backup-simplify]: Simplify (sqrt 1) into 1 4.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.074 * [backup-simplify]: Simplify (- 0) into 0 4.074 * [backup-simplify]: Simplify (+ 0 0) into 0 4.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 4.077 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 4.078 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 4.078 * [backup-simplify]: Simplify 1 into 1 4.078 * [backup-simplify]: Simplify -0.5 into -0.5 4.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.079 * [backup-simplify]: Simplify (- 0) into 0 4.079 * [backup-simplify]: Simplify (+ 0 0) into 0 4.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 4.081 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 4.083 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 4.083 * [backup-simplify]: Simplify -0.125 into -0.125 4.083 * [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)))) 4.083 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 4.083 * [backup-simplify]: Simplify (sqrt (/ (+ N 1.0) N)) into (sqrt (/ (+ N 1.0) N)) 4.083 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 4.083 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 4.083 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.083 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.083 * [taylor]: Taking taylor expansion of N in N 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.083 * [taylor]: Taking taylor expansion of 1.0 in N 4.083 * [backup-simplify]: Simplify 1.0 into 1.0 4.083 * [taylor]: Taking taylor expansion of N in N 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.084 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.084 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.084 * [backup-simplify]: Simplify (sqrt 0) into 0 4.085 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 4.085 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 4.086 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.086 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.086 * [taylor]: Taking taylor expansion of N in N 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 1 into 1 4.086 * [taylor]: Taking taylor expansion of 1.0 in N 4.086 * [backup-simplify]: Simplify 1.0 into 1.0 4.086 * [taylor]: Taking taylor expansion of N in N 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 1 into 1 4.086 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.087 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.087 * [backup-simplify]: Simplify (sqrt 0) into 0 4.088 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.088 * [backup-simplify]: Simplify (+ 1 0) into 1 4.089 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 4.091 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.091 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.092 * [backup-simplify]: Simplify (+ 0 0) into 0 4.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.095 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.095 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 4.095 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 4.095 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 4.095 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 4.095 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.095 * [taylor]: Taking taylor expansion of N in N 4.095 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify 1 into 1 4.095 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.095 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.095 * [taylor]: Taking taylor expansion of N in N 4.095 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify 1 into 1 4.095 * [backup-simplify]: Simplify (/ 1 1) into 1 4.095 * [taylor]: Taking taylor expansion of 1.0 in N 4.095 * [backup-simplify]: Simplify 1.0 into 1.0 4.096 * [backup-simplify]: Simplify (+ 1 0) into 1 4.096 * [backup-simplify]: Simplify (* 0 1) into 0 4.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.097 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.097 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.097 * [backup-simplify]: Simplify (sqrt 1) into 1 4.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.098 * [backup-simplify]: Simplify (+ 0 0) into 0 4.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 4.101 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 4.101 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 4.101 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.101 * [taylor]: Taking taylor expansion of N in N 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 1 into 1 4.101 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.101 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.101 * [taylor]: Taking taylor expansion of N in N 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 1 into 1 4.101 * [backup-simplify]: Simplify (/ 1 1) into 1 4.101 * [taylor]: Taking taylor expansion of 1.0 in N 4.101 * [backup-simplify]: Simplify 1.0 into 1.0 4.102 * [backup-simplify]: Simplify (+ 1 0) into 1 4.103 * [backup-simplify]: Simplify (* 0 1) into 0 4.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.104 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.104 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.105 * [backup-simplify]: Simplify (sqrt 1) into 1 4.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.106 * [backup-simplify]: Simplify (+ 0 0) into 0 4.109 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 4.110 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [backup-simplify]: Simplify 0.5 into 0.5 4.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.112 * [backup-simplify]: Simplify (+ 0 0) into 0 4.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 4.116 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 4.116 * [backup-simplify]: Simplify -0.125 into -0.125 4.117 * [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)))) 4.117 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 4.117 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 4.117 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.117 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.117 * [taylor]: Taking taylor expansion of -1 in N 4.117 * [backup-simplify]: Simplify -1 into -1 4.117 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.117 * [taylor]: Taking taylor expansion of N in N 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 1 into 1 4.117 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.117 * [taylor]: Taking taylor expansion of 1.0 in N 4.117 * [backup-simplify]: Simplify 1.0 into 1.0 4.117 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.117 * [taylor]: Taking taylor expansion of N in N 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 1 into 1 4.118 * [backup-simplify]: Simplify (/ 1 1) into 1 4.118 * [backup-simplify]: Simplify (- 1) into -1 4.119 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.120 * [backup-simplify]: Simplify (* 0 -1) into 0 4.120 * [backup-simplify]: Simplify (* -1 0) into 0 4.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.121 * [backup-simplify]: Simplify (- 0) into 0 4.122 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.122 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.123 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.124 * [backup-simplify]: Simplify (sqrt 1) into 1 4.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.125 * [backup-simplify]: Simplify (- 0) into 0 4.125 * [backup-simplify]: Simplify (+ 0 0) into 0 4.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 4.130 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 4.132 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 4.132 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.132 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.132 * [taylor]: Taking taylor expansion of -1 in N 4.132 * [backup-simplify]: Simplify -1 into -1 4.132 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.132 * [taylor]: Taking taylor expansion of N in N 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 1 into 1 4.133 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.133 * [taylor]: Taking taylor expansion of 1.0 in N 4.133 * [backup-simplify]: Simplify 1.0 into 1.0 4.133 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.133 * [taylor]: Taking taylor expansion of N in N 4.133 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify 1 into 1 4.133 * [backup-simplify]: Simplify (/ 1 1) into 1 4.133 * [backup-simplify]: Simplify (- 1) into -1 4.134 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.134 * [backup-simplify]: Simplify (* 0 -1) into 0 4.135 * [backup-simplify]: Simplify (* -1 0) into 0 4.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.136 * [backup-simplify]: Simplify (- 0) into 0 4.136 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.137 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.138 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.138 * [backup-simplify]: Simplify (sqrt 1) into 1 4.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.140 * [backup-simplify]: Simplify (- 0) into 0 4.140 * [backup-simplify]: Simplify (+ 0 0) into 0 4.143 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 4.145 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 4.147 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 4.147 * [backup-simplify]: Simplify 1 into 1 4.147 * [backup-simplify]: Simplify -0.5 into -0.5 4.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.149 * [backup-simplify]: Simplify (- 0) into 0 4.149 * [backup-simplify]: Simplify (+ 0 0) into 0 4.150 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 4.154 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 4.157 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 4.157 * [backup-simplify]: Simplify -0.125 into -0.125 4.158 * [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)))) 4.158 * * * [progress]: simplifying candidates 4.161 * [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 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 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 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 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 N) (- (+ (* +nan.0 (pow N 2)) (- +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 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 4.163 * * [simplify]: Extracting # 0 : cost 67 inf + 0 4.163 * * [simplify]: Extracting # 1 : cost 100 inf + 0 4.163 * * [simplify]: Extracting # 2 : cost 106 inf + 400 4.163 * * [simplify]: Extracting # 3 : cost 84 inf + 3485 4.164 * * [simplify]: Extracting # 4 : cost 46 inf + 11315 4.166 * * [simplify]: Extracting # 5 : cost 19 inf + 18202 4.167 * * [simplify]: Extracting # 6 : cost 8 inf + 21609 4.169 * * [simplify]: Extracting # 7 : cost 5 inf + 22447 4.170 * * [simplify]: Extracting # 8 : cost 3 inf + 23194 4.172 * * [simplify]: Extracting # 9 : cost 0 inf + 24849 4.174 * * [simplify]: iteration 0 : 123 enodes (cost 45078 ) 4.204 * * [simplify]: Extracting # 0 : cost 0 inf + 24849 4.208 * * [simplify]: Extracting # 1 : cost 25 inf + 22778 4.213 * * [simplify]: Extracting # 2 : cost 2 inf + 25957 4.217 * * [simplify]: Extracting # 3 : cost 1 inf + 23895 4.222 * * [simplify]: Extracting # 4 : cost 0 inf + 23634 4.227 * * [simplify]: Extracting # 5 : cost 0 inf + 23474 4.230 * * [simplify]: iteration 1 : 202 enodes (cost 39652 ) 4.280 * * [simplify]: Extracting # 0 : cost 0 inf + 23474 4.286 * * [simplify]: Extracting # 1 : cost 91 inf + 22085 4.291 * * [simplify]: Extracting # 2 : cost 2 inf + 31858 4.295 * * [simplify]: Extracting # 3 : cost 0 inf + 31911 4.300 * * [simplify]: Extracting # 4 : cost 0 inf + 31871 4.304 * * [simplify]: iteration 2 : 474 enodes (cost 38368 ) 4.502 * * [simplify]: Extracting # 0 : cost 0 inf + 31871 4.512 * * [simplify]: Extracting # 1 : cost 447 inf + 27159 4.536 * * [simplify]: Extracting # 2 : cost 2 inf + 78796 4.561 * * [simplify]: Extracting # 3 : cost 0 inf + 78969 4.588 * * [simplify]: iteration 3 : 1644 enodes (cost 38368 ) 5.049 * * [simplify]: Extracting # 0 : cost 0 inf + 78969 5.089 * * [simplify]: Extracting # 1 : cost 1502 inf + 69291 5.162 * * [simplify]: Extracting # 2 : cost 49 inf + 228413 5.237 * * [simplify]: Extracting # 3 : cost 15 inf + 232112 5.314 * * [simplify]: Extracting # 4 : cost 0 inf + 236601 5.370 * * [simplify]: iteration done: 5001 enodes (cost 38288 ) 5.372 * [simplify]: Simplified to: (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (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)))) (* (* (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 (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)))) (* (* (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))) (* (/ (+ N 1.0) N) (sqrt (/ (+ N 1.0) N))) (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))) (* (/ (+ N 1.0) N) (sqrt (/ (+ N 1.0) N))) (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 (- N (* N N)))) (+ (- (/ 0.5 N) (/ 0.25 (* N N))) (/ 0.16666666666666666 (* (* N N) N))) (+ (- (/ 0.5 N) (/ 0.25 (* N N))) (/ 0.16666666666666666 (* (* N N) N))) (- (log +nan.0) (* +nan.0 (- N (* N N)))) (+ (- (/ 0.5 N) (/ 0.25 (* N N))) (/ 0.16666666666666666 (* (* N N) N))) (+ (- (/ 0.5 N) (/ 0.25 (* N N))) (/ 0.16666666666666666 (* (* N N) N))) (- (* +nan.0 (- (* N N) N)) +nan.0) (- (+ (/ 0.5 N) 1) (/ 0.125 (* N N))) (- (+ (/ 0.5 N) 1) (/ 0.125 (* N N))) (- (* +nan.0 (- (* N N) N)) +nan.0) (- (+ (/ 0.5 N) 1) (/ 0.125 (* N N))) (- (+ (/ 0.5 N) 1) (/ 0.125 (* N N))) 5.391 * * * [progress]: adding candidates to table 6.089 * * [progress]: iteration 4 / 4 6.089 * * * [progress]: picking best candidate 6.121 * * * * [pick]: Picked # 6.122 * * * [progress]: localizing error 6.190 * * * [progress]: generating rewritten candidates 6.190 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 6.203 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 6.209 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 6.215 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 6.238 * * * [progress]: generating series expansions 6.238 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 6.238 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ N 1.0) N)))) into (log (pow (/ (+ N 1.0) N) 1/4)) 6.239 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in (N) around 0 6.239 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 6.239 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 6.239 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 6.239 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 6.239 * [taylor]: Taking taylor expansion of 1/4 in N 6.239 * [backup-simplify]: Simplify 1/4 into 1/4 6.239 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.239 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.239 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.239 * [taylor]: Taking taylor expansion of N in N 6.239 * [backup-simplify]: Simplify 0 into 0 6.239 * [backup-simplify]: Simplify 1 into 1 6.239 * [taylor]: Taking taylor expansion of 1.0 in N 6.239 * [backup-simplify]: Simplify 1.0 into 1.0 6.239 * [taylor]: Taking taylor expansion of N in N 6.239 * [backup-simplify]: Simplify 0 into 0 6.239 * [backup-simplify]: Simplify 1 into 1 6.240 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.240 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.241 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.241 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.242 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 6.243 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 6.243 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 6.243 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 6.243 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 6.243 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 6.243 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 6.243 * [taylor]: Taking taylor expansion of 1/4 in N 6.243 * [backup-simplify]: Simplify 1/4 into 1/4 6.243 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.244 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.244 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.244 * [taylor]: Taking taylor expansion of N in N 6.244 * [backup-simplify]: Simplify 0 into 0 6.244 * [backup-simplify]: Simplify 1 into 1 6.244 * [taylor]: Taking taylor expansion of 1.0 in N 6.244 * [backup-simplify]: Simplify 1.0 into 1.0 6.244 * [taylor]: Taking taylor expansion of N in N 6.244 * [backup-simplify]: Simplify 0 into 0 6.244 * [backup-simplify]: Simplify 1 into 1 6.244 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.245 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.245 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.246 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.247 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 6.247 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 6.248 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 6.248 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 6.249 * [backup-simplify]: Simplify (+ 1 0) into 1 6.250 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 6.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.257 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.258 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log 1.0) (log N)))) into 0.25 6.261 * [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))))) 6.262 * [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 6.262 * [backup-simplify]: Simplify 0.25 into 0.25 6.263 * [backup-simplify]: Simplify (+ 0 0) into 0 6.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.270 * [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)) 6.270 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.272 * [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)))) 6.278 * [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 (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2))))) 6.282 * [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 (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/8 (pow 1.0 2)) 6.283 * [backup-simplify]: Simplify (/ -1/8 (pow 1.0 2)) into (/ -1/8 (pow 1.0 2)) 6.284 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow 1.0 2)) (pow N 2)) (+ (* 0.25 N) (* 1/4 (- (log 1.0) (log N))))) into (- (+ (* 1/4 (log 1.0)) (* 0.25 N)) (+ (* 1/8 (/ (pow N 2) (pow 1.0 2))) (* 1/4 (log N)))) 6.284 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) 6.284 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in (N) around 0 6.284 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 6.284 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 6.284 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 6.284 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 6.284 * [taylor]: Taking taylor expansion of 1/4 in N 6.284 * [backup-simplify]: Simplify 1/4 into 1/4 6.284 * [taylor]: Taking taylor expansion of (log (* 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 6.287 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.287 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.288 * [backup-simplify]: Simplify (log 1) into 0 6.288 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.289 * [backup-simplify]: Simplify (+ 0 0) into 0 6.293 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.303 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.305 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 6.305 * [backup-simplify]: Simplify (exp 0) into 1 6.305 * [backup-simplify]: Simplify (log 1) into 0 6.305 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 6.305 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 6.305 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 6.305 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 6.306 * [taylor]: Taking taylor expansion of 1/4 in N 6.306 * [backup-simplify]: Simplify 1/4 into 1/4 6.306 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.306 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.306 * [taylor]: Taking taylor expansion of N in N 6.306 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify 1 into 1 6.306 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.306 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.306 * [taylor]: Taking taylor expansion of N in N 6.306 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify 1 into 1 6.306 * [backup-simplify]: Simplify (/ 1 1) into 1 6.306 * [taylor]: Taking taylor expansion of 1.0 in N 6.306 * [backup-simplify]: Simplify 1.0 into 1.0 6.307 * [backup-simplify]: Simplify (+ 1 0) into 1 6.307 * [backup-simplify]: Simplify (* 0 1) into 0 6.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.308 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.309 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.309 * [backup-simplify]: Simplify (log 1) into 0 6.309 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.310 * [backup-simplify]: Simplify (+ 0 0) into 0 6.312 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.315 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.316 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 6.316 * [backup-simplify]: Simplify (exp 0) into 1 6.316 * [backup-simplify]: Simplify (log 1) into 0 6.317 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 1) 1)))) into 0.25 6.322 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.25) 1)) (pow 1 1)))) 1) into 0.25 6.322 * [backup-simplify]: Simplify 0.25 into 0.25 6.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.323 * [backup-simplify]: Simplify (+ 0 0) into 0 6.324 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 6.331 * [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 6.334 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.125) 6.341 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into -0.09375 6.356 * [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 6.356 * [backup-simplify]: Simplify -0.125 into -0.125 6.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.358 * [backup-simplify]: Simplify (+ 0 0) into 0 6.359 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 6.378 * [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 6.381 * [backup-simplify]: Simplify (+ (* 1/4 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.08333333333333333 6.394 * [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 6.420 * [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 6.420 * [backup-simplify]: Simplify 0.08333333333333333 into 0.08333333333333333 6.421 * [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)))) 6.421 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) 6.421 * [approximate]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in (N) around 0 6.421 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 6.421 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.421 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.421 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.421 * [taylor]: Taking taylor expansion of -1 in N 6.421 * [backup-simplify]: Simplify -1 into -1 6.421 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.421 * [taylor]: Taking taylor expansion of N in N 6.421 * [backup-simplify]: Simplify 0 into 0 6.421 * [backup-simplify]: Simplify 1 into 1 6.421 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.421 * [taylor]: Taking taylor expansion of 1.0 in N 6.422 * [backup-simplify]: Simplify 1.0 into 1.0 6.422 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.422 * [taylor]: Taking taylor expansion of N in N 6.422 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify 1 into 1 6.422 * [backup-simplify]: Simplify (/ 1 1) into 1 6.422 * [backup-simplify]: Simplify (- 1) into -1 6.423 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.423 * [backup-simplify]: Simplify (* 0 -1) into 0 6.424 * [backup-simplify]: Simplify (* -1 0) into 0 6.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.425 * [backup-simplify]: Simplify (- 0) into 0 6.425 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.426 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.427 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.427 * [backup-simplify]: Simplify (sqrt 1) into 1 6.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.430 * [backup-simplify]: Simplify (- 0) into 0 6.430 * [backup-simplify]: Simplify (+ 0 0) into 0 6.432 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.433 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.434 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.434 * [backup-simplify]: Simplify (sqrt 1) into 1 6.435 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 6.435 * [backup-simplify]: Simplify (log 1) into 0 6.435 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 6.435 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.435 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.436 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.436 * [taylor]: Taking taylor expansion of -1 in N 6.436 * [backup-simplify]: Simplify -1 into -1 6.436 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.436 * [taylor]: Taking taylor expansion of N in N 6.436 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify 1 into 1 6.436 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.436 * [taylor]: Taking taylor expansion of 1.0 in N 6.436 * [backup-simplify]: Simplify 1.0 into 1.0 6.436 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.436 * [taylor]: Taking taylor expansion of N in N 6.436 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify 1 into 1 6.436 * [backup-simplify]: Simplify (/ 1 1) into 1 6.436 * [backup-simplify]: Simplify (- 1) into -1 6.436 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.437 * [backup-simplify]: Simplify (* 0 -1) into 0 6.437 * [backup-simplify]: Simplify (* -1 0) into 0 6.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.438 * [backup-simplify]: Simplify (- 0) into 0 6.438 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.438 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.439 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.439 * [backup-simplify]: Simplify (sqrt 1) into 1 6.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.440 * [backup-simplify]: Simplify (- 0) into 0 6.440 * [backup-simplify]: Simplify (+ 0 0) into 0 6.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.443 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.444 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.444 * [backup-simplify]: Simplify (sqrt 1) into 1 6.445 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 6.445 * [backup-simplify]: Simplify (log 1) into 0 6.445 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.25) 1)) (pow 1 1)))) 1) into -0.25 6.449 * [backup-simplify]: Simplify -0.25 into -0.25 6.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.450 * [backup-simplify]: Simplify (- 0) into 0 6.450 * [backup-simplify]: Simplify (+ 0 0) into 0 6.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 6.451 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 6.453 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 6.456 * [backup-simplify]: Simplify (/ (- -0.125 (pow -0.25 2) (+)) (* 2 1)) into -0.09375 6.471 * [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 6.471 * [backup-simplify]: Simplify -0.125 into -0.125 6.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.472 * [backup-simplify]: Simplify (- 0) into 0 6.472 * [backup-simplify]: Simplify (+ 0 0) into 0 6.474 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 6.475 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 6.478 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 6.481 * [backup-simplify]: Simplify (/ (- -0.0625 (+ (* 2 (* -0.25 -0.09375)))) (* 2 1)) into -0.0546875 6.496 * [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 6.496 * [backup-simplify]: Simplify -0.08333333333333333 into -0.08333333333333333 6.496 * [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)))) 6.496 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 6.496 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ N 1.0) N)))) into (log (pow (/ (+ N 1.0) N) 1/4)) 6.496 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in (N) around 0 6.497 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 6.497 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 6.497 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 6.497 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 6.497 * [taylor]: Taking taylor expansion of 1/4 in N 6.497 * [backup-simplify]: Simplify 1/4 into 1/4 6.497 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.497 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.497 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.497 * [taylor]: Taking taylor expansion of N in N 6.497 * [backup-simplify]: Simplify 0 into 0 6.497 * [backup-simplify]: Simplify 1 into 1 6.497 * [taylor]: Taking taylor expansion of 1.0 in N 6.497 * [backup-simplify]: Simplify 1.0 into 1.0 6.497 * [taylor]: Taking taylor expansion of N in N 6.497 * [backup-simplify]: Simplify 0 into 0 6.497 * [backup-simplify]: Simplify 1 into 1 6.497 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.497 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.498 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.498 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.498 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 6.499 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 6.499 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 6.499 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 6.499 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 6.499 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 6.499 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 6.499 * [taylor]: Taking taylor expansion of 1/4 in N 6.499 * [backup-simplify]: Simplify 1/4 into 1/4 6.499 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.499 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.499 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.499 * [taylor]: Taking taylor expansion of N in N 6.499 * [backup-simplify]: Simplify 0 into 0 6.499 * [backup-simplify]: Simplify 1 into 1 6.499 * [taylor]: Taking taylor expansion of 1.0 in N 6.499 * [backup-simplify]: Simplify 1.0 into 1.0 6.499 * [taylor]: Taking taylor expansion of N in N 6.499 * [backup-simplify]: Simplify 0 into 0 6.499 * [backup-simplify]: Simplify 1 into 1 6.500 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.500 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.500 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.501 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.501 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 6.501 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 6.502 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 6.502 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 6.502 * [backup-simplify]: Simplify (+ 1 0) into 1 6.503 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 6.506 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.507 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.507 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log 1.0) (log N)))) into 0.25 6.509 * [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))))) 6.510 * [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 6.510 * [backup-simplify]: Simplify 0.25 into 0.25 6.510 * [backup-simplify]: Simplify (+ 0 0) into 0 6.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.516 * [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)) 6.517 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.518 * [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)))) 6.526 * [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 (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2))))) 6.530 * [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 (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/8 (pow 1.0 2)) 6.531 * [backup-simplify]: Simplify (/ -1/8 (pow 1.0 2)) into (/ -1/8 (pow 1.0 2)) 6.533 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow 1.0 2)) (pow N 2)) (+ (* 0.25 N) (* 1/4 (- (log 1.0) (log N))))) into (- (+ (* 1/4 (log 1.0)) (* 0.25 N)) (+ (* 1/8 (/ (pow N 2) (pow 1.0 2))) (* 1/4 (log N)))) 6.533 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) 6.533 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in (N) around 0 6.533 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 6.533 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 6.534 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 6.534 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 6.534 * [taylor]: Taking taylor expansion of 1/4 in N 6.534 * [backup-simplify]: Simplify 1/4 into 1/4 6.534 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.534 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.534 * [taylor]: Taking taylor expansion of N in N 6.534 * [backup-simplify]: Simplify 0 into 0 6.534 * [backup-simplify]: Simplify 1 into 1 6.534 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.534 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.534 * [taylor]: Taking taylor expansion of N in N 6.534 * [backup-simplify]: Simplify 0 into 0 6.534 * [backup-simplify]: Simplify 1 into 1 6.534 * [backup-simplify]: Simplify (/ 1 1) into 1 6.534 * [taylor]: Taking taylor expansion of 1.0 in N 6.534 * [backup-simplify]: Simplify 1.0 into 1.0 6.535 * [backup-simplify]: Simplify (+ 1 0) into 1 6.535 * [backup-simplify]: Simplify (* 0 1) into 0 6.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.536 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.537 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.538 * [backup-simplify]: Simplify (log 1) into 0 6.538 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.539 * [backup-simplify]: Simplify (+ 0 0) into 0 6.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.548 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.550 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 6.550 * [backup-simplify]: Simplify (exp 0) into 1 6.550 * [backup-simplify]: Simplify (log 1) into 0 6.550 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 6.550 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 6.550 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 6.550 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 6.550 * [taylor]: Taking taylor expansion of 1/4 in N 6.550 * [backup-simplify]: Simplify 1/4 into 1/4 6.551 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.551 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.551 * [taylor]: Taking taylor expansion of N in N 6.551 * [backup-simplify]: Simplify 0 into 0 6.551 * [backup-simplify]: Simplify 1 into 1 6.551 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.551 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.551 * [taylor]: Taking taylor expansion of N in N 6.551 * [backup-simplify]: Simplify 0 into 0 6.551 * [backup-simplify]: Simplify 1 into 1 6.551 * [backup-simplify]: Simplify (/ 1 1) into 1 6.551 * [taylor]: Taking taylor expansion of 1.0 in N 6.551 * [backup-simplify]: Simplify 1.0 into 1.0 6.552 * [backup-simplify]: Simplify (+ 1 0) into 1 6.552 * [backup-simplify]: Simplify (* 0 1) into 0 6.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.553 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.554 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.554 * [backup-simplify]: Simplify (log 1) into 0 6.555 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.556 * [backup-simplify]: Simplify (+ 0 0) into 0 6.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.562 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.562 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 6.562 * [backup-simplify]: Simplify (exp 0) into 1 6.563 * [backup-simplify]: Simplify (log 1) into 0 6.563 * [backup-simplify]: Simplify 0 into 0 6.565 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 1) 1)))) into 0.25 6.568 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.25) 1)) (pow 1 1)))) 1) into 0.25 6.568 * [backup-simplify]: Simplify 0.25 into 0.25 6.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.569 * [backup-simplify]: Simplify (+ 0 0) into 0 6.570 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 6.576 * [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 6.577 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.125) 6.581 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into -0.09375 6.590 * [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 6.590 * [backup-simplify]: Simplify -0.125 into -0.125 6.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.591 * [backup-simplify]: Simplify (+ 0 0) into 0 6.592 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 6.609 * [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 6.611 * [backup-simplify]: Simplify (+ (* 1/4 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.08333333333333333 6.618 * [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 6.634 * [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 6.634 * [backup-simplify]: Simplify 0.08333333333333333 into 0.08333333333333333 6.635 * [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)))) 6.635 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) 6.635 * [approximate]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in (N) around 0 6.635 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 6.635 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.635 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.635 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.635 * [taylor]: Taking taylor expansion of -1 in N 6.635 * [backup-simplify]: Simplify -1 into -1 6.635 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.635 * [taylor]: Taking taylor expansion of N in N 6.635 * [backup-simplify]: Simplify 0 into 0 6.635 * [backup-simplify]: Simplify 1 into 1 6.635 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.635 * [taylor]: Taking taylor expansion of 1.0 in N 6.635 * [backup-simplify]: Simplify 1.0 into 1.0 6.635 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.635 * [taylor]: Taking taylor expansion of N in N 6.635 * [backup-simplify]: Simplify 0 into 0 6.635 * [backup-simplify]: Simplify 1 into 1 6.635 * [backup-simplify]: Simplify (/ 1 1) into 1 6.635 * [backup-simplify]: Simplify (- 1) into -1 6.636 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.636 * [backup-simplify]: Simplify (* 0 -1) into 0 6.636 * [backup-simplify]: Simplify (* -1 0) into 0 6.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.637 * [backup-simplify]: Simplify (- 0) into 0 6.638 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.639 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.639 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.640 * [backup-simplify]: Simplify (sqrt 1) into 1 6.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.641 * [backup-simplify]: Simplify (- 0) into 0 6.641 * [backup-simplify]: Simplify (+ 0 0) into 0 6.645 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.646 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.648 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.648 * [backup-simplify]: Simplify (sqrt 1) into 1 6.650 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 6.650 * [backup-simplify]: Simplify (log 1) into 0 6.650 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 6.650 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.650 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.650 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.650 * [taylor]: Taking taylor expansion of -1 in N 6.650 * [backup-simplify]: Simplify -1 into -1 6.650 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.650 * [taylor]: Taking taylor expansion of N in N 6.650 * [backup-simplify]: Simplify 0 into 0 6.650 * [backup-simplify]: Simplify 1 into 1 6.650 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.650 * [taylor]: Taking taylor expansion of 1.0 in N 6.650 * [backup-simplify]: Simplify 1.0 into 1.0 6.651 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.651 * [taylor]: Taking taylor expansion of N in N 6.651 * [backup-simplify]: Simplify 0 into 0 6.651 * [backup-simplify]: Simplify 1 into 1 6.651 * [backup-simplify]: Simplify (/ 1 1) into 1 6.651 * [backup-simplify]: Simplify (- 1) into -1 6.652 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.652 * [backup-simplify]: Simplify (* 0 -1) into 0 6.653 * [backup-simplify]: Simplify (* -1 0) into 0 6.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.653 * [backup-simplify]: Simplify (- 0) into 0 6.654 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.654 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.654 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.655 * [backup-simplify]: Simplify (sqrt 1) into 1 6.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.655 * [backup-simplify]: Simplify (- 0) into 0 6.656 * [backup-simplify]: Simplify (+ 0 0) into 0 6.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.658 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.659 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.660 * [backup-simplify]: Simplify (sqrt 1) into 1 6.660 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 6.661 * [backup-simplify]: Simplify (log 1) into 0 6.661 * [backup-simplify]: Simplify 0 into 0 6.664 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.25) 1)) (pow 1 1)))) 1) into -0.25 6.664 * [backup-simplify]: Simplify -0.25 into -0.25 6.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.665 * [backup-simplify]: Simplify (- 0) into 0 6.665 * [backup-simplify]: Simplify (+ 0 0) into 0 6.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 6.667 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 6.669 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 6.670 * [backup-simplify]: Simplify (/ (- -0.125 (pow -0.25 2) (+)) (* 2 1)) into -0.09375 6.679 * [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 6.679 * [backup-simplify]: Simplify -0.125 into -0.125 6.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.679 * [backup-simplify]: Simplify (- 0) into 0 6.680 * [backup-simplify]: Simplify (+ 0 0) into 0 6.681 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 6.682 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 6.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 6.688 * [backup-simplify]: Simplify (/ (- -0.0625 (+ (* 2 (* -0.25 -0.09375)))) (* 2 1)) into -0.0546875 6.714 * [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 6.714 * [backup-simplify]: Simplify -0.08333333333333333 into -0.08333333333333333 6.715 * [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)))) 6.715 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 6.715 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1.0) N))) into (log (sqrt (/ (+ N 1.0) N))) 6.715 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 6.715 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 6.715 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 6.715 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.715 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.715 * [taylor]: Taking taylor expansion of N in N 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify 1 into 1 6.715 * [taylor]: Taking taylor expansion of 1.0 in N 6.715 * [backup-simplify]: Simplify 1.0 into 1.0 6.715 * [taylor]: Taking taylor expansion of N in N 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify 1 into 1 6.716 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.716 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.717 * [backup-simplify]: Simplify (sqrt 0) into 0 6.718 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 6.719 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.719 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 6.719 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 6.719 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.719 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.719 * [taylor]: Taking taylor expansion of N in N 6.719 * [backup-simplify]: Simplify 0 into 0 6.719 * [backup-simplify]: Simplify 1 into 1 6.719 * [taylor]: Taking taylor expansion of 1.0 in N 6.719 * [backup-simplify]: Simplify 1.0 into 1.0 6.719 * [taylor]: Taking taylor expansion of N in N 6.719 * [backup-simplify]: Simplify 0 into 0 6.719 * [backup-simplify]: Simplify 1 into 1 6.720 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.720 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.720 * [backup-simplify]: Simplify (sqrt 0) into 0 6.722 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 6.722 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.723 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.723 * [backup-simplify]: Simplify (+ 1 0) into 1 6.724 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 6.727 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.731 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.731 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.732 * [backup-simplify]: Simplify (+ 0 0) into 0 6.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.736 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.744 * [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 6.744 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.745 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 6.745 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 6.745 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 6.745 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 6.745 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 6.745 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.745 * [taylor]: Taking taylor expansion of N in N 6.745 * [backup-simplify]: Simplify 0 into 0 6.745 * [backup-simplify]: Simplify 1 into 1 6.745 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.745 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.745 * [taylor]: Taking taylor expansion of N in N 6.745 * [backup-simplify]: Simplify 0 into 0 6.745 * [backup-simplify]: Simplify 1 into 1 6.745 * [backup-simplify]: Simplify (/ 1 1) into 1 6.745 * [taylor]: Taking taylor expansion of 1.0 in N 6.745 * [backup-simplify]: Simplify 1.0 into 1.0 6.746 * [backup-simplify]: Simplify (+ 1 0) into 1 6.746 * [backup-simplify]: Simplify (* 0 1) into 0 6.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.747 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.747 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.747 * [backup-simplify]: Simplify (sqrt 1) into 1 6.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.748 * [backup-simplify]: Simplify (+ 0 0) into 0 6.750 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.750 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 6.751 * [backup-simplify]: Simplify (log 1) into 0 6.751 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 6.751 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 6.751 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.751 * [taylor]: Taking taylor expansion of N in N 6.751 * [backup-simplify]: Simplify 0 into 0 6.751 * [backup-simplify]: Simplify 1 into 1 6.751 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.751 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.751 * [taylor]: Taking taylor expansion of N in N 6.751 * [backup-simplify]: Simplify 0 into 0 6.751 * [backup-simplify]: Simplify 1 into 1 6.751 * [backup-simplify]: Simplify (/ 1 1) into 1 6.751 * [taylor]: Taking taylor expansion of 1.0 in N 6.751 * [backup-simplify]: Simplify 1.0 into 1.0 6.751 * [backup-simplify]: Simplify (+ 1 0) into 1 6.752 * [backup-simplify]: Simplify (* 0 1) into 0 6.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.752 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.753 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.753 * [backup-simplify]: Simplify (sqrt 1) into 1 6.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.754 * [backup-simplify]: Simplify (+ 0 0) into 0 6.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.756 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 6.756 * [backup-simplify]: Simplify (log 1) into 0 6.757 * [backup-simplify]: Simplify 0 into 0 6.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 6.763 * [backup-simplify]: Simplify 0.5 into 0.5 6.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.764 * [backup-simplify]: Simplify (+ 0 0) into 0 6.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 6.769 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 6.777 * [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 6.777 * [backup-simplify]: Simplify -0.25 into -0.25 6.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.778 * [backup-simplify]: Simplify (+ 0 0) into 0 6.779 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 6.781 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 6.796 * [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 6.796 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 6.796 * [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)))) 6.797 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 6.797 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 6.797 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.797 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.797 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.797 * [taylor]: Taking taylor expansion of -1 in N 6.797 * [backup-simplify]: Simplify -1 into -1 6.797 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.797 * [taylor]: Taking taylor expansion of N in N 6.797 * [backup-simplify]: Simplify 0 into 0 6.797 * [backup-simplify]: Simplify 1 into 1 6.797 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.797 * [taylor]: Taking taylor expansion of 1.0 in N 6.797 * [backup-simplify]: Simplify 1.0 into 1.0 6.797 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.797 * [taylor]: Taking taylor expansion of N in N 6.797 * [backup-simplify]: Simplify 0 into 0 6.797 * [backup-simplify]: Simplify 1 into 1 6.797 * [backup-simplify]: Simplify (/ 1 1) into 1 6.797 * [backup-simplify]: Simplify (- 1) into -1 6.798 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.798 * [backup-simplify]: Simplify (* 0 -1) into 0 6.798 * [backup-simplify]: Simplify (* -1 0) into 0 6.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.799 * [backup-simplify]: Simplify (- 0) into 0 6.799 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.800 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.800 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.800 * [backup-simplify]: Simplify (sqrt 1) into 1 6.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.801 * [backup-simplify]: Simplify (- 0) into 0 6.802 * [backup-simplify]: Simplify (+ 0 0) into 0 6.805 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.807 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.808 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.809 * [backup-simplify]: Simplify (log 1) into 0 6.809 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.809 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.809 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.809 * [taylor]: Taking taylor expansion of -1 in N 6.809 * [backup-simplify]: Simplify -1 into -1 6.809 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.809 * [taylor]: Taking taylor expansion of N in N 6.809 * [backup-simplify]: Simplify 0 into 0 6.809 * [backup-simplify]: Simplify 1 into 1 6.809 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.809 * [taylor]: Taking taylor expansion of 1.0 in N 6.809 * [backup-simplify]: Simplify 1.0 into 1.0 6.809 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.809 * [taylor]: Taking taylor expansion of N in N 6.809 * [backup-simplify]: Simplify 0 into 0 6.809 * [backup-simplify]: Simplify 1 into 1 6.810 * [backup-simplify]: Simplify (/ 1 1) into 1 6.810 * [backup-simplify]: Simplify (- 1) into -1 6.811 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.811 * [backup-simplify]: Simplify (* 0 -1) into 0 6.811 * [backup-simplify]: Simplify (* -1 0) into 0 6.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.813 * [backup-simplify]: Simplify (- 0) into 0 6.813 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.814 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.815 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.815 * [backup-simplify]: Simplify (sqrt 1) into 1 6.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.816 * [backup-simplify]: Simplify (- 0) into 0 6.817 * [backup-simplify]: Simplify (+ 0 0) into 0 6.820 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.822 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.824 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.824 * [backup-simplify]: Simplify (log 1) into 0 6.824 * [backup-simplify]: Simplify 0 into 0 6.831 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 6.831 * [backup-simplify]: Simplify -0.5 into -0.5 6.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.832 * [backup-simplify]: Simplify (- 0) into 0 6.832 * [backup-simplify]: Simplify (+ 0 0) into 0 6.834 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 6.837 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 6.841 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 6.854 * [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 6.854 * [backup-simplify]: Simplify -0.25 into -0.25 6.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.855 * [backup-simplify]: Simplify (- 0) into 0 6.855 * [backup-simplify]: Simplify (+ 0 0) into 0 6.856 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 6.857 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 6.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 6.875 * [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 6.875 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 6.875 * [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)))) 6.875 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 6.875 * [backup-simplify]: Simplify (sqrt (sqrt (/ (+ N 1.0) N))) into (pow (/ (+ N 1.0) N) 1/4) 6.875 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in (N) around 0 6.875 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 6.875 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 6.875 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 6.875 * [taylor]: Taking taylor expansion of 1/4 in N 6.875 * [backup-simplify]: Simplify 1/4 into 1/4 6.875 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.875 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.875 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.875 * [taylor]: Taking taylor expansion of N in N 6.875 * [backup-simplify]: Simplify 0 into 0 6.875 * [backup-simplify]: Simplify 1 into 1 6.875 * [taylor]: Taking taylor expansion of 1.0 in N 6.875 * [backup-simplify]: Simplify 1.0 into 1.0 6.876 * [taylor]: Taking taylor expansion of N in N 6.876 * [backup-simplify]: Simplify 0 into 0 6.876 * [backup-simplify]: Simplify 1 into 1 6.876 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.876 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.876 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.877 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.877 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 6.878 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 6.878 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 6.878 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 6.878 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 6.878 * [taylor]: Taking taylor expansion of 1/4 in N 6.878 * [backup-simplify]: Simplify 1/4 into 1/4 6.878 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.878 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.878 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.878 * [taylor]: Taking taylor expansion of N in N 6.878 * [backup-simplify]: Simplify 0 into 0 6.878 * [backup-simplify]: Simplify 1 into 1 6.878 * [taylor]: Taking taylor expansion of 1.0 in N 6.878 * [backup-simplify]: Simplify 1.0 into 1.0 6.878 * [taylor]: Taking taylor expansion of N in N 6.878 * [backup-simplify]: Simplify 0 into 0 6.878 * [backup-simplify]: Simplify 1 into 1 6.878 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.878 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.879 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.879 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.879 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 6.880 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 6.880 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 6.880 * [backup-simplify]: Simplify (+ 1 0) into 1 6.881 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 6.887 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.888 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.889 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log 1.0) (log N)))) into 0.25 6.892 * [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))))) 6.892 * [backup-simplify]: Simplify (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) into (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) 6.893 * [backup-simplify]: Simplify (+ 0 0) into 0 6.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.901 * [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)) 6.902 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.903 * [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)))) 6.910 * [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 (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2))))) 6.912 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2))))) 6.915 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) N) (exp (* 1/4 (- (log 1.0) (log N)))))) into (- (+ (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* 0.03125 (* (exp (* 1/4 (- (log 1.0) (log N)))) (pow N 2))) (* 0.25 (* (exp (* 1/4 (- (log 1.0) (log N)))) N)))) (* 1/8 (/ (* (exp (* 1/4 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 6.915 * [backup-simplify]: Simplify (sqrt (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (pow (* N (+ (/ 1 N) 1.0)) 1/4) 6.915 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in (N) around 0 6.915 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 6.915 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 6.915 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 6.915 * [taylor]: Taking taylor expansion of 1/4 in N 6.915 * [backup-simplify]: Simplify 1/4 into 1/4 6.915 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.915 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.915 * [taylor]: Taking taylor expansion of N in N 6.915 * [backup-simplify]: Simplify 0 into 0 6.915 * [backup-simplify]: Simplify 1 into 1 6.915 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.915 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.915 * [taylor]: Taking taylor expansion of N in N 6.915 * [backup-simplify]: Simplify 0 into 0 6.915 * [backup-simplify]: Simplify 1 into 1 6.916 * [backup-simplify]: Simplify (/ 1 1) into 1 6.916 * [taylor]: Taking taylor expansion of 1.0 in N 6.916 * [backup-simplify]: Simplify 1.0 into 1.0 6.916 * [backup-simplify]: Simplify (+ 1 0) into 1 6.916 * [backup-simplify]: Simplify (* 0 1) into 0 6.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.917 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.917 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.918 * [backup-simplify]: Simplify (log 1) into 0 6.918 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.919 * [backup-simplify]: Simplify (+ 0 0) into 0 6.920 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.925 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 6.925 * [backup-simplify]: Simplify (exp 0) into 1 6.925 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 6.925 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 6.925 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 6.925 * [taylor]: Taking taylor expansion of 1/4 in N 6.925 * [backup-simplify]: Simplify 1/4 into 1/4 6.925 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.925 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.925 * [taylor]: Taking taylor expansion of N in N 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify 1 into 1 6.925 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.925 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.925 * [taylor]: Taking taylor expansion of N in N 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify 1 into 1 6.926 * [backup-simplify]: Simplify (/ 1 1) into 1 6.926 * [taylor]: Taking taylor expansion of 1.0 in N 6.926 * [backup-simplify]: Simplify 1.0 into 1.0 6.926 * [backup-simplify]: Simplify (+ 1 0) into 1 6.927 * [backup-simplify]: Simplify (* 0 1) into 0 6.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.928 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.929 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.929 * [backup-simplify]: Simplify (log 1) into 0 6.930 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.931 * [backup-simplify]: Simplify (+ 0 0) into 0 6.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.940 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.949 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 6.949 * [backup-simplify]: Simplify (exp 0) into 1 6.949 * [backup-simplify]: Simplify 1 into 1 6.953 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 1) 1)))) into 0.25 6.953 * [backup-simplify]: Simplify 0.25 into 0.25 6.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.954 * [backup-simplify]: Simplify (+ 0 0) into 0 6.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 6.968 * [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 6.970 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.125) 6.974 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into -0.09375 6.974 * [backup-simplify]: Simplify -0.09375 into -0.09375 6.974 * [backup-simplify]: Simplify (+ (* -0.09375 (pow (/ 1 N) 2)) (+ (* 0.25 (/ 1 N)) 1)) into (- (+ (* 0.25 (/ 1 N)) 1) (* 0.09375 (/ 1 (pow N 2)))) 6.974 * [backup-simplify]: Simplify (sqrt (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 6.974 * [approximate]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 6.974 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.974 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.975 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.975 * [taylor]: Taking taylor expansion of -1 in N 6.975 * [backup-simplify]: Simplify -1 into -1 6.975 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.975 * [taylor]: Taking taylor expansion of N in N 6.975 * [backup-simplify]: Simplify 0 into 0 6.975 * [backup-simplify]: Simplify 1 into 1 6.975 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.975 * [taylor]: Taking taylor expansion of 1.0 in N 6.975 * [backup-simplify]: Simplify 1.0 into 1.0 6.975 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.975 * [taylor]: Taking taylor expansion of N in N 6.975 * [backup-simplify]: Simplify 0 into 0 6.975 * [backup-simplify]: Simplify 1 into 1 6.975 * [backup-simplify]: Simplify (/ 1 1) into 1 6.975 * [backup-simplify]: Simplify (- 1) into -1 6.975 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.976 * [backup-simplify]: Simplify (* 0 -1) into 0 6.976 * [backup-simplify]: Simplify (* -1 0) into 0 6.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.977 * [backup-simplify]: Simplify (- 0) into 0 6.977 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.977 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.978 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.978 * [backup-simplify]: Simplify (sqrt 1) into 1 6.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.979 * [backup-simplify]: Simplify (- 0) into 0 6.979 * [backup-simplify]: Simplify (+ 0 0) into 0 6.981 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.982 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.983 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.983 * [backup-simplify]: Simplify (sqrt 1) into 1 6.984 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 6.984 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.984 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.984 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.984 * [taylor]: Taking taylor expansion of -1 in N 6.984 * [backup-simplify]: Simplify -1 into -1 6.984 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.984 * [taylor]: Taking taylor expansion of N in N 6.984 * [backup-simplify]: Simplify 0 into 0 6.984 * [backup-simplify]: Simplify 1 into 1 6.984 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.984 * [taylor]: Taking taylor expansion of 1.0 in N 6.984 * [backup-simplify]: Simplify 1.0 into 1.0 6.984 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.984 * [taylor]: Taking taylor expansion of N in N 6.984 * [backup-simplify]: Simplify 0 into 0 6.984 * [backup-simplify]: Simplify 1 into 1 6.985 * [backup-simplify]: Simplify (/ 1 1) into 1 6.985 * [backup-simplify]: Simplify (- 1) into -1 6.985 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.985 * [backup-simplify]: Simplify (* 0 -1) into 0 6.986 * [backup-simplify]: Simplify (* -1 0) into 0 6.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.986 * [backup-simplify]: Simplify (- 0) into 0 6.986 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.987 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.987 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.988 * [backup-simplify]: Simplify (sqrt 1) into 1 6.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.988 * [backup-simplify]: Simplify (- 0) into 0 6.989 * [backup-simplify]: Simplify (+ 0 0) into 0 6.990 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.992 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.993 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.993 * [backup-simplify]: Simplify (sqrt 1) into 1 6.994 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 6.994 * [backup-simplify]: Simplify 1 into 1 6.994 * [backup-simplify]: Simplify -0.25 into -0.25 6.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.995 * [backup-simplify]: Simplify (- 0) into 0 6.995 * [backup-simplify]: Simplify (+ 0 0) into 0 6.996 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 6.996 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 6.999 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 7.002 * [backup-simplify]: Simplify (/ (- -0.125 (pow -0.25 2) (+)) (* 2 1)) into -0.09375 7.002 * [backup-simplify]: Simplify -0.09375 into -0.09375 7.003 * [backup-simplify]: Simplify (+ (* -0.09375 (pow (/ 1 (- N)) 2)) (+ (* -0.25 (/ 1 (- N))) 1)) into (- (+ (* 0.25 (/ 1 N)) 1) (* 0.09375 (/ 1 (pow N 2)))) 7.003 * * * [progress]: simplifying candidates 7.007 * [simplify]: Simplifying: (log (* (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))))) (log (cbrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))))) (log (sqrt (cbrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log (sqrt (sqrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) 1)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (sqrt (/ 1 1)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (sqrt (/ 1 1)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt 1))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (/ 1 N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt 1)) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log 1) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (sqrt (/ (+ N 1.0) N))))) (exp (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N)))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* (* (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log (* (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))))) (log (cbrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))))) (log (sqrt (cbrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log (sqrt (sqrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) 1)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (sqrt (/ 1 1)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (sqrt (/ 1 1)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt 1))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (/ 1 N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt 1)) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log 1) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (sqrt (/ (+ N 1.0) N))))) (exp (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N)))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* (* (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (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 (sqrt (/ (+ N 1.0) N)))) (exp (sqrt (sqrt (/ (+ N 1.0) N)))) (* (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (sqrt (/ (+ N 1.0) N))))) (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))) (* (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N)))) (sqrt (sqrt (/ (+ N 1.0) N)))) (sqrt (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (sqrt (cbrt (sqrt (/ (+ N 1.0) N)))) (sqrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (sqrt (sqrt (cbrt (/ (+ N 1.0) N)))) (sqrt (sqrt (sqrt (/ (+ N 1.0) N)))) (sqrt (sqrt (sqrt (/ (+ N 1.0) N)))) (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (sqrt (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (sqrt (sqrt (/ (cbrt (+ N 1.0)) N))) (sqrt (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (sqrt (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (sqrt (sqrt (/ (sqrt (+ N 1.0)) 1))) (sqrt (sqrt (/ (sqrt (+ N 1.0)) N))) (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (sqrt (sqrt (/ (+ N 1.0) (cbrt N)))) (sqrt (sqrt (/ 1 (sqrt N)))) (sqrt (sqrt (/ (+ N 1.0) (sqrt N)))) (sqrt (sqrt (/ 1 1))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (sqrt (sqrt (/ (+ N 1.0) (cbrt N)))) (sqrt (sqrt (/ 1 (sqrt N)))) (sqrt (sqrt (/ (+ N 1.0) (sqrt N)))) (sqrt (sqrt (/ 1 1))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt 1)) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt (/ 1 N))) (sqrt (sqrt (sqrt (/ (+ N 1.0) N)))) (sqrt (sqrt (sqrt (/ (+ N 1.0) N)))) (sqrt 1) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N)) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (/ (+ N 1.0) N)))) (sqrt (sqrt (sqrt (/ (+ N 1.0) N)))) (- (+ (* 1/4 (log 1.0)) (* 0.25 N)) (+ (* 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)))) (- (+ (* 1/4 (log 1.0)) (* 0.25 N)) (+ (* 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)))) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 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)))) (- (+ (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* 0.03125 (* (exp (* 1/4 (- (log 1.0) (log N)))) (pow N 2))) (* 0.25 (* (exp (* 1/4 (- (log 1.0) (log N)))) N)))) (* 1/8 (/ (* (exp (* 1/4 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.25 (/ 1 N)) 1) (* 0.09375 (/ 1 (pow N 2)))) (- (+ (* 0.25 (/ 1 N)) 1) (* 0.09375 (/ 1 (pow N 2)))) 7.012 * * [simplify]: Extracting # 0 : cost 107 inf + 0 7.012 * * [simplify]: Extracting # 1 : cost 150 inf + 0 7.013 * * [simplify]: Extracting # 2 : cost 184 inf + 167 7.013 * * [simplify]: Extracting # 3 : cost 183 inf + 1437 7.015 * * [simplify]: Extracting # 4 : cost 133 inf + 11047 7.019 * * [simplify]: Extracting # 5 : cost 67 inf + 26250 7.024 * * [simplify]: Extracting # 6 : cost 33 inf + 36424 7.030 * * [simplify]: Extracting # 7 : cost 12 inf + 45573 7.035 * * [simplify]: Extracting # 8 : cost 2 inf + 50673 7.039 * * [simplify]: Extracting # 9 : cost 0 inf + 51773 7.042 * * [simplify]: iteration 0 : 215 enodes (cost 62202 ) 7.098 * * [simplify]: Extracting # 0 : cost 0 inf + 51773 7.106 * * [simplify]: Extracting # 1 : cost 40 inf + 47692 7.115 * * [simplify]: Extracting # 2 : cost 2 inf + 56548 7.125 * * [simplify]: Extracting # 3 : cost 0 inf + 52221 7.136 * * [simplify]: Extracting # 4 : cost 0 inf + 50300 7.147 * * [simplify]: iteration 1 : 346 enodes (cost 54963 ) 7.235 * * [simplify]: Extracting # 0 : cost 0 inf + 50300 7.241 * * [simplify]: Extracting # 1 : cost 163 inf + 48612 7.251 * * [simplify]: Extracting # 2 : cost 4 inf + 74702 7.265 * * [simplify]: Extracting # 3 : cost 1 inf + 74827 7.289 * * [simplify]: Extracting # 4 : cost 0 inf + 74639 7.309 * * [simplify]: Extracting # 5 : cost 0 inf + 74599 7.323 * * [simplify]: iteration 2 : 803 enodes (cost 53637 ) 7.808 * * [simplify]: Extracting # 0 : cost 0 inf + 74599 7.830 * * [simplify]: Extracting # 1 : cost 878 inf + 66304 7.864 * * [simplify]: Extracting # 2 : cost 4 inf + 220941 7.906 * * [simplify]: Extracting # 3 : cost 1 inf + 221298 7.971 * * [simplify]: Extracting # 4 : cost 0 inf + 221842 8.017 * * [simplify]: iteration 3 : 2993 enodes (cost 53517 ) 8.783 * * [simplify]: Extracting # 0 : cost 0 inf + 221842 8.848 * * [simplify]: Extracting # 1 : cost 1184 inf + 220845 8.921 * * [simplify]: Extracting # 2 : cost 0 inf + 488814 8.994 * * [simplify]: Extracting # 3 : cost 0 inf + 475944 9.111 * * [simplify]: Extracting # 4 : cost 0 inf + 473663 9.211 * * [simplify]: Extracting # 5 : cost 0 inf + 473422 9.301 * * [simplify]: iteration done: 5000 enodes (cost 53437 ) 9.303 * [simplify]: Simplified to: (log (* (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))))) (log (cbrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (fabs (cbrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (fabs (cbrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (fabs (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) 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