18.928 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.082 * * * [progress]: [2/2] Setting up program. 0.085 * [progress]: [Phase 2 of 3] Improving. 0.086 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.086 * * [simplify]: Extracting # 0 : cost 0 0.086 * * [simplify]: Extracting # 1 : cost 0 0.086 * * [simplify]: Extracting # 2 : cost 0 0.086 * * [simplify]: Extracting # 3 : cost 0 0.086 * * [simplify]: Extracting # 4 : cost 0 0.086 * * [simplify]: Extracting # 5 : cost 0 0.086 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.088 * * [simplify]: Extracting # 0 : cost 0 0.088 * * [simplify]: Extracting # 1 : cost 0 0.088 * * [simplify]: Extracting # 2 : cost 0 0.088 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.090 * * [simplify]: Extracting # 0 : cost 0 0.091 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.093 * * [simplify]: Extracting # 0 : cost 0 0.093 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.093 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.094 * * [progress]: iteration 1 / 4 0.094 * * * [progress]: picking best candidate 0.097 * * * * [pick]: Picked # 0.097 * * * [progress]: localizing error 0.112 * * * [progress]: generating rewritten candidates 0.112 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.137 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.169 * * * [progress]: generating series expansions 0.170 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.170 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.170 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.170 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.170 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.170 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [taylor]: Taking taylor expansion of 1.0 in N 0.170 * [backup-simplify]: Simplify 1.0 into 1.0 0.171 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.172 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.172 * [taylor]: Taking taylor expansion of (log N) in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (log 1) into 0 0.172 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.172 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.172 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [taylor]: Taking taylor expansion of 1.0 in N 0.172 * [backup-simplify]: Simplify 1.0 into 1.0 0.173 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.173 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.173 * [taylor]: Taking taylor expansion of (log N) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (log 1) into 0 0.175 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.175 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.177 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.177 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.178 * [backup-simplify]: Simplify (+ 1 0) into 1 0.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.187 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.187 * [backup-simplify]: Simplify 1.0 into 1.0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [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)) 0.201 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.202 * [backup-simplify]: Simplify (- 0) into 0 0.204 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.208 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.213 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.213 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.213 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.213 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.213 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.213 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.213 * [taylor]: Taking taylor expansion of N in N 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of 1.0 in N 0.214 * [backup-simplify]: Simplify 1.0 into 1.0 0.214 * [backup-simplify]: Simplify (+ 1 0) into 1 0.214 * [backup-simplify]: Simplify (log 1) into 0 0.214 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.214 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.214 * [taylor]: Taking taylor expansion of N in N 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [backup-simplify]: Simplify (log 1) into 0 0.215 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.215 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.215 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [taylor]: Taking taylor expansion of 1.0 in N 0.215 * [backup-simplify]: Simplify 1.0 into 1.0 0.216 * [backup-simplify]: Simplify (+ 1 0) into 1 0.216 * [backup-simplify]: Simplify (log 1) into 0 0.216 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.216 * [taylor]: Taking taylor expansion of N in N 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (/ 1 1) into 1 0.217 * [backup-simplify]: Simplify (log 1) into 0 0.218 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.218 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.218 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.218 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.225 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.228 * [backup-simplify]: Simplify 1.0 into 1.0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [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 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.246 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [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 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [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 0.266 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.266 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.267 * [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)))) 0.267 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.267 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.267 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.267 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.267 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.267 * [taylor]: Taking taylor expansion of 1.0 in N 0.267 * [backup-simplify]: Simplify 1.0 into 1.0 0.267 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.267 * [taylor]: Taking taylor expansion of N in N 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [backup-simplify]: Simplify (- 1) into -1 0.268 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.268 * [backup-simplify]: Simplify (log -1) into (log -1) 0.268 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.268 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.268 * [taylor]: Taking taylor expansion of -1 in N 0.268 * [backup-simplify]: Simplify -1 into -1 0.268 * [taylor]: Taking taylor expansion of N in N 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ -1 1) into -1 0.269 * [backup-simplify]: Simplify (log -1) into (log -1) 0.269 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.269 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.269 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.269 * [taylor]: Taking taylor expansion of 1.0 in N 0.269 * [backup-simplify]: Simplify 1.0 into 1.0 0.269 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.269 * [taylor]: Taking taylor expansion of N in N 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [backup-simplify]: Simplify (- 1) into -1 0.271 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.271 * [backup-simplify]: Simplify (log -1) into (log -1) 0.271 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.271 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.271 * [taylor]: Taking taylor expansion of -1 in N 0.271 * [backup-simplify]: Simplify -1 into -1 0.271 * [taylor]: Taking taylor expansion of N in N 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (/ -1 1) into -1 0.272 * [backup-simplify]: Simplify (log -1) into (log -1) 0.273 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.274 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.275 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.276 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.284 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.288 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.315 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [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 0.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [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 0.349 * [backup-simplify]: Simplify (- 0) into 0 0.350 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.350 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.351 * [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)))) 0.351 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.351 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.351 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.351 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.351 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.351 * [taylor]: Taking taylor expansion of N in N 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [taylor]: Taking taylor expansion of 1.0 in N 0.351 * [backup-simplify]: Simplify 1.0 into 1.0 0.352 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.352 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.352 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.352 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.352 * [taylor]: Taking taylor expansion of N in N 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [taylor]: Taking taylor expansion of 1.0 in N 0.352 * [backup-simplify]: Simplify 1.0 into 1.0 0.352 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.353 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.353 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.353 * [backup-simplify]: Simplify (+ 1 0) into 1 0.356 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.357 * [backup-simplify]: Simplify 1.0 into 1.0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [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)) 0.363 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.365 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.365 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.365 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.365 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.365 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.365 * [taylor]: Taking taylor expansion of N in N 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (/ 1 1) into 1 0.365 * [taylor]: Taking taylor expansion of 1.0 in N 0.365 * [backup-simplify]: Simplify 1.0 into 1.0 0.365 * [backup-simplify]: Simplify (+ 1 0) into 1 0.366 * [backup-simplify]: Simplify (log 1) into 0 0.366 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.366 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.366 * [taylor]: Taking taylor expansion of N in N 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (/ 1 1) into 1 0.366 * [taylor]: Taking taylor expansion of 1.0 in N 0.366 * [backup-simplify]: Simplify 1.0 into 1.0 0.366 * [backup-simplify]: Simplify (+ 1 0) into 1 0.367 * [backup-simplify]: Simplify (log 1) into 0 0.367 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.367 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.373 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.373 * [backup-simplify]: Simplify 1.0 into 1.0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.381 * [backup-simplify]: Simplify -0.5 into -0.5 0.381 * [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)))) 0.381 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.381 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.381 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.382 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.382 * [taylor]: Taking taylor expansion of 1.0 in N 0.382 * [backup-simplify]: Simplify 1.0 into 1.0 0.382 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.382 * [taylor]: Taking taylor expansion of N in N 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (/ 1 1) into 1 0.382 * [backup-simplify]: Simplify (- 1) into -1 0.382 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.383 * [backup-simplify]: Simplify (log -1) into (log -1) 0.383 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.383 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.383 * [taylor]: Taking taylor expansion of 1.0 in N 0.383 * [backup-simplify]: Simplify 1.0 into 1.0 0.383 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.383 * [taylor]: Taking taylor expansion of N in N 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (/ 1 1) into 1 0.383 * [backup-simplify]: Simplify (- 1) into -1 0.384 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.384 * [backup-simplify]: Simplify (log -1) into (log -1) 0.384 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.385 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.385 * [backup-simplify]: Simplify (- 0) into 0 0.386 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.390 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.390 * [backup-simplify]: Simplify -1.0 into -1.0 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (- 0) into 0 0.391 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [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 0.397 * [backup-simplify]: Simplify -0.5 into -0.5 0.398 * [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)))) 0.398 * * * [progress]: simplifying candidates 0.399 * [simplify]: Simplifying: (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.401 * * [simplify]: Extracting # 0 : cost 0 0.401 * * [simplify]: Extracting # 1 : cost 0 0.401 * * [simplify]: Extracting # 2 : cost 0 0.401 * * [simplify]: Extracting # 3 : cost 0 0.401 * * [simplify]: Extracting # 4 : cost 0 0.402 * * [simplify]: Extracting # 5 : cost 0 0.402 * * [simplify]: Extracting # 6 : cost 0 0.402 * * [simplify]: Extracting # 7 : cost 0 0.402 * * [simplify]: Extracting # 8 : cost 0 0.402 * * [simplify]: Extracting # 9 : cost 0 0.402 * * [simplify]: iteration 0 : 127 enodes (cost 1052 ) 0.442 * * [simplify]: Extracting # 0 : cost 0 0.442 * * [simplify]: Extracting # 1 : cost 0 0.443 * * [simplify]: Extracting # 2 : cost 0 0.443 * * [simplify]: Extracting # 3 : cost 0 0.443 * * [simplify]: Extracting # 4 : cost 0 0.444 * * [simplify]: iteration 1 : 277 enodes (cost 855 ) 0.605 * * [simplify]: Extracting # 0 : cost 0 0.607 * * [simplify]: Extracting # 1 : cost 0 0.609 * * [simplify]: Extracting # 2 : cost 0 0.610 * * [simplify]: Extracting # 3 : cost 0 0.611 * * [simplify]: Extracting # 4 : cost 0 0.613 * * [simplify]: iteration 2 : 666 enodes (cost 705 ) 1.012 * * [simplify]: Extracting # 0 : cost 0 1.015 * * [simplify]: Extracting # 1 : cost 0 1.021 * * [simplify]: Extracting # 2 : cost 0 1.023 * * [simplify]: Extracting # 3 : cost 0 1.026 * * [simplify]: iteration 3 : 2050 enodes (cost 614 ) 3.944 * * [simplify]: Extracting # 0 : cost 0 3.957 * * [simplify]: Extracting # 1 : cost 0 3.966 * * [simplify]: Extracting # 2 : cost 0 3.980 * * [simplify]: Extracting # 3 : cost 0 3.984 * * [simplify]: Extracting # 4 : cost 0 3.988 * * [simplify]: iteration done: 5000 enodes (cost 592 ) 3.989 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (fma (log N) (log N) (* (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (fma -2 (log (cbrt N)) (log (+ N 1.0))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log N) (log (fma N N (* 1.0 (- 1.0 N))))) (+ (log (- N 1.0)) (log N)) (- (log N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (fma N N (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ -1/2 1.0) (/ (* N N) 1.0) (fma 1.0 N (log 1.0))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) 3.990 * * * [progress]: adding candidates to table 4.168 * * [progress]: iteration 2 / 4 4.168 * * * [progress]: picking best candidate 4.179 * * * * [pick]: Picked # 4.179 * * * [progress]: localizing error 4.190 * * * [progress]: generating rewritten candidates 4.190 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.204 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.240 * * * [progress]: generating series expansions 4.240 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.241 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 4.241 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 4.241 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 4.241 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.241 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.241 * [taylor]: Taking taylor expansion of N in N 4.241 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify 1 into 1 4.241 * [taylor]: Taking taylor expansion of 1.0 in N 4.241 * [backup-simplify]: Simplify 1.0 into 1.0 4.241 * [taylor]: Taking taylor expansion of N in N 4.241 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify 1 into 1 4.241 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.242 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.242 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.242 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 4.242 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.242 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.242 * [taylor]: Taking taylor expansion of N in N 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 1 into 1 4.242 * [taylor]: Taking taylor expansion of 1.0 in N 4.242 * [backup-simplify]: Simplify 1.0 into 1.0 4.242 * [taylor]: Taking taylor expansion of N in N 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 1 into 1 4.242 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.243 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.243 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.244 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 4.248 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 4.248 * [backup-simplify]: Simplify (+ 1 0) into 1 4.249 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 4.252 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.252 * [backup-simplify]: Simplify 1.0 into 1.0 4.252 * [backup-simplify]: Simplify (+ 0 0) into 0 4.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.258 * [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)) 4.259 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 4.260 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 4.260 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 4.260 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 4.260 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 4.260 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.260 * [taylor]: Taking taylor expansion of N in N 4.260 * [backup-simplify]: Simplify 0 into 0 4.260 * [backup-simplify]: Simplify 1 into 1 4.260 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.260 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.260 * [taylor]: Taking taylor expansion of N in N 4.260 * [backup-simplify]: Simplify 0 into 0 4.260 * [backup-simplify]: Simplify 1 into 1 4.261 * [backup-simplify]: Simplify (/ 1 1) into 1 4.261 * [taylor]: Taking taylor expansion of 1.0 in N 4.261 * [backup-simplify]: Simplify 1.0 into 1.0 4.261 * [backup-simplify]: Simplify (+ 1 0) into 1 4.261 * [backup-simplify]: Simplify (* 0 1) into 0 4.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.262 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.263 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.263 * [backup-simplify]: Simplify (log 1) into 0 4.263 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 4.263 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.263 * [taylor]: Taking taylor expansion of N in N 4.263 * [backup-simplify]: Simplify 0 into 0 4.263 * [backup-simplify]: Simplify 1 into 1 4.264 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.264 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.264 * [taylor]: Taking taylor expansion of N in N 4.264 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify 1 into 1 4.264 * [backup-simplify]: Simplify (/ 1 1) into 1 4.264 * [taylor]: Taking taylor expansion of 1.0 in N 4.264 * [backup-simplify]: Simplify 1.0 into 1.0 4.265 * [backup-simplify]: Simplify (+ 1 0) into 1 4.265 * [backup-simplify]: Simplify (* 0 1) into 0 4.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.266 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.267 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.267 * [backup-simplify]: Simplify (log 1) into 0 4.267 * [backup-simplify]: Simplify 0 into 0 4.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.269 * [backup-simplify]: Simplify (+ 0 0) into 0 4.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 4.278 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.278 * [backup-simplify]: Simplify 1.0 into 1.0 4.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.280 * [backup-simplify]: Simplify (+ 0 0) into 0 4.281 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 4.293 * [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 4.293 * [backup-simplify]: Simplify -0.5 into -0.5 4.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.295 * [backup-simplify]: Simplify (+ 0 0) into 0 4.296 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 4.315 * [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 4.316 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.316 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 4.316 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 4.316 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 4.317 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.317 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.317 * [taylor]: Taking taylor expansion of -1 in N 4.317 * [backup-simplify]: Simplify -1 into -1 4.317 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.317 * [taylor]: Taking taylor expansion of N in N 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 1 into 1 4.317 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.317 * [taylor]: Taking taylor expansion of 1.0 in N 4.317 * [backup-simplify]: Simplify 1.0 into 1.0 4.317 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.317 * [taylor]: Taking taylor expansion of N in N 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 1 into 1 4.317 * [backup-simplify]: Simplify (/ 1 1) into 1 4.318 * [backup-simplify]: Simplify (- 1) into -1 4.318 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.319 * [backup-simplify]: Simplify (* 0 -1) into 0 4.319 * [backup-simplify]: Simplify (* -1 0) into 0 4.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.320 * [backup-simplify]: Simplify (- 0) into 0 4.321 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.321 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.322 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.322 * [backup-simplify]: Simplify (log 1) into 0 4.322 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.323 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.323 * [taylor]: Taking taylor expansion of -1 in N 4.323 * [backup-simplify]: Simplify -1 into -1 4.323 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.323 * [taylor]: Taking taylor expansion of N in N 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 1 into 1 4.323 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.323 * [taylor]: Taking taylor expansion of 1.0 in N 4.323 * [backup-simplify]: Simplify 1.0 into 1.0 4.323 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.323 * [taylor]: Taking taylor expansion of N in N 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 1 into 1 4.323 * [backup-simplify]: Simplify (/ 1 1) into 1 4.324 * [backup-simplify]: Simplify (- 1) into -1 4.324 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.324 * [backup-simplify]: Simplify (* 0 -1) into 0 4.325 * [backup-simplify]: Simplify (* -1 0) into 0 4.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.326 * [backup-simplify]: Simplify (- 0) into 0 4.326 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.327 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.328 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.328 * [backup-simplify]: Simplify (log 1) into 0 4.329 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.330 * [backup-simplify]: Simplify (- 0) into 0 4.330 * [backup-simplify]: Simplify (+ 0 0) into 0 4.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 4.335 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 4.343 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 4.343 * [backup-simplify]: Simplify -1.0 into -1.0 4.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.345 * [backup-simplify]: Simplify (- 0) into 0 4.345 * [backup-simplify]: Simplify (+ 0 0) into 0 4.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 4.348 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 4.361 * [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 4.361 * [backup-simplify]: Simplify -0.5 into -0.5 4.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.363 * [backup-simplify]: Simplify (- 0) into 0 4.363 * [backup-simplify]: Simplify (+ 0 0) into 0 4.365 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 4.366 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 4.390 * [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 4.390 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 4.391 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 4.391 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.391 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 4.391 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 4.391 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.391 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.391 * [taylor]: Taking taylor expansion of N in N 4.391 * [backup-simplify]: Simplify 0 into 0 4.391 * [backup-simplify]: Simplify 1 into 1 4.391 * [taylor]: Taking taylor expansion of 1.0 in N 4.391 * [backup-simplify]: Simplify 1.0 into 1.0 4.391 * [taylor]: Taking taylor expansion of N in N 4.391 * [backup-simplify]: Simplify 0 into 0 4.391 * [backup-simplify]: Simplify 1 into 1 4.392 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.392 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.392 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.392 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.392 * [taylor]: Taking taylor expansion of N in N 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify 1 into 1 4.392 * [taylor]: Taking taylor expansion of 1.0 in N 4.392 * [backup-simplify]: Simplify 1.0 into 1.0 4.392 * [taylor]: Taking taylor expansion of N in N 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify 1 into 1 4.392 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.393 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.393 * [backup-simplify]: Simplify 1.0 into 1.0 4.393 * [backup-simplify]: Simplify (+ 1 0) into 1 4.394 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 4.394 * [backup-simplify]: Simplify 1 into 1 4.394 * [backup-simplify]: Simplify (+ 0 0) into 0 4.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.394 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify (+ 0 0) into 0 4.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.395 * [backup-simplify]: Simplify 0 into 0 4.396 * [backup-simplify]: Simplify (+ 0 0) into 0 4.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.396 * [backup-simplify]: Simplify 0 into 0 4.396 * [backup-simplify]: Simplify (+ 0 0) into 0 4.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.397 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify (+ 0 0) into 0 4.398 * [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 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify (+ 0 0) into 0 4.399 * [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 4.399 * [backup-simplify]: Simplify 0 into 0 4.399 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 4.399 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 4.399 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 4.399 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.399 * [taylor]: Taking taylor expansion of N in N 4.399 * [backup-simplify]: Simplify 0 into 0 4.400 * [backup-simplify]: Simplify 1 into 1 4.400 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.400 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.400 * [taylor]: Taking taylor expansion of N in N 4.400 * [backup-simplify]: Simplify 0 into 0 4.400 * [backup-simplify]: Simplify 1 into 1 4.400 * [backup-simplify]: Simplify (/ 1 1) into 1 4.400 * [taylor]: Taking taylor expansion of 1.0 in N 4.400 * [backup-simplify]: Simplify 1.0 into 1.0 4.400 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.400 * [taylor]: Taking taylor expansion of N in N 4.400 * [backup-simplify]: Simplify 0 into 0 4.400 * [backup-simplify]: Simplify 1 into 1 4.400 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.400 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.400 * [taylor]: Taking taylor expansion of N in N 4.400 * [backup-simplify]: Simplify 0 into 0 4.400 * [backup-simplify]: Simplify 1 into 1 4.400 * [backup-simplify]: Simplify (/ 1 1) into 1 4.400 * [taylor]: Taking taylor expansion of 1.0 in N 4.400 * [backup-simplify]: Simplify 1.0 into 1.0 4.401 * [backup-simplify]: Simplify (+ 1 0) into 1 4.401 * [backup-simplify]: Simplify (* 0 1) into 0 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.402 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.402 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.402 * [backup-simplify]: Simplify 1 into 1 4.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.403 * [backup-simplify]: Simplify (+ 0 0) into 0 4.404 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 4.404 * [backup-simplify]: Simplify 1.0 into 1.0 4.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.405 * [backup-simplify]: Simplify (+ 0 0) into 0 4.406 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.407 * [backup-simplify]: Simplify (+ 0 0) into 0 4.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 4.407 * [backup-simplify]: Simplify 0 into 0 4.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.408 * [backup-simplify]: Simplify (+ 0 0) into 0 4.409 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 4.409 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.410 * [backup-simplify]: Simplify (+ 0 0) into 0 4.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 4.411 * [backup-simplify]: Simplify 0 into 0 4.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.412 * [backup-simplify]: Simplify (+ 0 0) into 0 4.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 4.413 * [backup-simplify]: Simplify 0 into 0 4.413 * [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 4.413 * [backup-simplify]: Simplify (+ 0 0) into 0 4.415 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 4.415 * [backup-simplify]: Simplify 0 into 0 4.415 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 4.415 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 4.415 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 4.415 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.415 * [taylor]: Taking taylor expansion of -1 in N 4.415 * [backup-simplify]: Simplify -1 into -1 4.415 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.415 * [taylor]: Taking taylor expansion of N in N 4.415 * [backup-simplify]: Simplify 0 into 0 4.415 * [backup-simplify]: Simplify 1 into 1 4.415 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.415 * [taylor]: Taking taylor expansion of 1.0 in N 4.415 * [backup-simplify]: Simplify 1.0 into 1.0 4.415 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.415 * [taylor]: Taking taylor expansion of N in N 4.415 * [backup-simplify]: Simplify 0 into 0 4.415 * [backup-simplify]: Simplify 1 into 1 4.415 * [backup-simplify]: Simplify (/ 1 1) into 1 4.415 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.415 * [taylor]: Taking taylor expansion of -1 in N 4.415 * [backup-simplify]: Simplify -1 into -1 4.415 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.415 * [taylor]: Taking taylor expansion of N in N 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify 1 into 1 4.416 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.416 * [taylor]: Taking taylor expansion of 1.0 in N 4.416 * [backup-simplify]: Simplify 1.0 into 1.0 4.416 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.416 * [taylor]: Taking taylor expansion of N in N 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify 1 into 1 4.416 * [backup-simplify]: Simplify (/ 1 1) into 1 4.416 * [backup-simplify]: Simplify (- 1) into -1 4.416 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.417 * [backup-simplify]: Simplify (* 0 -1) into 0 4.417 * [backup-simplify]: Simplify (* -1 0) into 0 4.417 * [backup-simplify]: Simplify 0 into 0 4.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.418 * [backup-simplify]: Simplify (- 0) into 0 4.418 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.418 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.419 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.419 * [backup-simplify]: Simplify 1 into 1 4.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.419 * [backup-simplify]: Simplify (- 0) into 0 4.420 * [backup-simplify]: Simplify (+ 0 0) into 0 4.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 4.423 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 4.423 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.425 * [backup-simplify]: Simplify (- 0) into 0 4.425 * [backup-simplify]: Simplify (+ 0 0) into 0 4.426 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 4.428 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 4.428 * [backup-simplify]: Simplify 0 into 0 4.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.429 * [backup-simplify]: Simplify (- 0) into 0 4.429 * [backup-simplify]: Simplify (+ 0 0) into 0 4.431 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 4.432 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 4.432 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.433 * [backup-simplify]: Simplify (- 0) into 0 4.434 * [backup-simplify]: Simplify (+ 0 0) into 0 4.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 4.437 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 4.437 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.438 * [backup-simplify]: Simplify (- 0) into 0 4.438 * [backup-simplify]: Simplify (+ 0 0) into 0 4.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 4.442 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 4.442 * [backup-simplify]: Simplify 0 into 0 4.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.443 * [backup-simplify]: Simplify (- 0) into 0 4.444 * [backup-simplify]: Simplify (+ 0 0) into 0 4.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 4.448 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 4.448 * [backup-simplify]: Simplify 0 into 0 4.449 * [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 4.449 * [backup-simplify]: Simplify (- 0) into 0 4.450 * [backup-simplify]: Simplify (+ 0 0) into 0 4.453 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 4.455 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 4.455 * [backup-simplify]: Simplify 0 into 0 4.455 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 4.456 * * * [progress]: simplifying candidates 4.458 * [simplify]: Simplifying: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 4.460 * * [simplify]: Extracting # 0 : cost 0 4.460 * * [simplify]: Extracting # 1 : cost 0 4.461 * * [simplify]: Extracting # 2 : cost 0 4.461 * * [simplify]: Extracting # 3 : cost 0 4.461 * * [simplify]: Extracting # 4 : cost 0 4.461 * * [simplify]: Extracting # 5 : cost 0 4.462 * * [simplify]: Extracting # 6 : cost 0 4.462 * * [simplify]: Extracting # 7 : cost 0 4.462 * * [simplify]: Extracting # 8 : cost 0 4.462 * * [simplify]: Extracting # 9 : cost 0 4.463 * * [simplify]: iteration 0 : 112 enodes (cost 749 ) 4.501 * * [simplify]: Extracting # 0 : cost 0 4.501 * * [simplify]: Extracting # 1 : cost 0 4.502 * * [simplify]: Extracting # 2 : cost 0 4.502 * * [simplify]: Extracting # 3 : cost 0 4.502 * * [simplify]: Extracting # 4 : cost 0 4.502 * * [simplify]: iteration 1 : 242 enodes (cost 708 ) 4.618 * * [simplify]: Extracting # 0 : cost 0 4.619 * * [simplify]: Extracting # 1 : cost 0 4.620 * * [simplify]: Extracting # 2 : cost 0 4.621 * * [simplify]: Extracting # 3 : cost 0 4.622 * * [simplify]: Extracting # 4 : cost 0 4.623 * * [simplify]: iteration 2 : 620 enodes (cost 660 ) 4.989 * * [simplify]: Extracting # 0 : cost 0 4.991 * * [simplify]: Extracting # 1 : cost 0 4.992 * * [simplify]: Extracting # 2 : cost 0 4.993 * * [simplify]: Extracting # 3 : cost 0 4.995 * * [simplify]: Extracting # 4 : cost 0 4.996 * * [simplify]: iteration 3 : 1531 enodes (cost 647 ) 7.171 * * [simplify]: Extracting # 0 : cost 0 7.180 * * [simplify]: Extracting # 1 : cost 0 7.183 * * [simplify]: Extracting # 2 : cost 0 7.187 * * [simplify]: Extracting # 3 : cost 0 7.191 * * [simplify]: Extracting # 4 : cost 0 7.194 * * [simplify]: iteration 4 : 4287 enodes (cost 643 ) 8.434 * * [simplify]: Extracting # 0 : cost 0 8.442 * * [simplify]: Extracting # 1 : cost 0 8.451 * * [simplify]: Extracting # 2 : cost 0 8.457 * * [simplify]: Extracting # 3 : cost 0 8.461 * * [simplify]: iteration done: 5000 enodes (cost 612 ) 8.462 * [simplify]: Simplified to: (expm1 (log1p (/ 1.0 N))) (log1p (log1p (/ 1.0 N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (fma -2 (log (cbrt N)) (log (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log1p (/ 1.0 N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log1p (/ 1.0 N)) 0 (log1p (/ 1.0 N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log1p (/ 1.0 N)) (log (log1p (/ 1.0 N))) (+ (/ 1.0 N) 1) (* (cbrt (log1p (/ 1.0 N))) (cbrt (log1p (/ 1.0 N)))) (cbrt (log1p (/ 1.0 N))) (pow (log1p (/ 1.0 N)) 3) (sqrt (log1p (/ 1.0 N))) (sqrt (log1p (/ 1.0 N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (log1p (/ 1.0 N)) (log1p (/ 1.0 N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (+ (/ 1.0 N) 1) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (+ (/ 1.0 N) 1) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (fma N N (* 1.0 (- 1.0 N)))) (* N (- N 1.0)) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (fma (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 8.463 * * * [progress]: adding candidates to table 8.668 * * [progress]: iteration 3 / 4 8.668 * * * [progress]: picking best candidate 8.671 * * * * [pick]: Picked # 8.671 * * * [progress]: localizing error 8.682 * * * [progress]: generating rewritten candidates 8.682 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 8.683 * * * [progress]: generating series expansions 8.683 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 8.684 * [backup-simplify]: Simplify (log1p (/ 1.0 N)) into (log1p (/ 1.0 N)) 8.684 * [approximate]: Taking taylor expansion of (log1p (/ 1.0 N)) in (N) around 0 8.684 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 N)) in N 8.686 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 N))) 8.686 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 N)) in N 8.686 * [taylor]: Taking taylor expansion of 1 in N 8.686 * [backup-simplify]: Simplify 1 into 1 8.686 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 8.686 * [taylor]: Taking taylor expansion of 1.0 in N 8.686 * [backup-simplify]: Simplify 1.0 into 1.0 8.686 * [taylor]: Taking taylor expansion of N in N 8.686 * [backup-simplify]: Simplify 0 into 0 8.686 * [backup-simplify]: Simplify 1 into 1 8.687 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.688 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.688 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.688 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 N)) in N 8.688 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 N))) 8.688 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 N)) in N 8.688 * [taylor]: Taking taylor expansion of 1 in N 8.688 * [backup-simplify]: Simplify 1 into 1 8.688 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 8.688 * [taylor]: Taking taylor expansion of 1.0 in N 8.688 * [backup-simplify]: Simplify 1.0 into 1.0 8.688 * [taylor]: Taking taylor expansion of N in N 8.688 * [backup-simplify]: Simplify 0 into 0 8.689 * [backup-simplify]: Simplify 1 into 1 8.689 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.689 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.690 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.691 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 8.691 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 8.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 8.693 * [backup-simplify]: Simplify (+ 1 0) into 1 8.698 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 8.698 * [backup-simplify]: Simplify 1.0 into 1.0 8.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.700 * [backup-simplify]: Simplify (+ 0 0) into 0 8.710 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 8.711 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 8.712 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 8.712 * [backup-simplify]: Simplify (log1p (/ 1.0 (/ 1 N))) into (log1p (* 1.0 N)) 8.712 * [approximate]: Taking taylor expansion of (log1p (* 1.0 N)) in (N) around 0 8.712 * [taylor]: Taking taylor expansion of (log1p (* 1.0 N)) in N 8.712 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 N))) 8.712 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 N)) in N 8.712 * [taylor]: Taking taylor expansion of 1 in N 8.712 * [backup-simplify]: Simplify 1 into 1 8.712 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.712 * [taylor]: Taking taylor expansion of 1.0 in N 8.712 * [backup-simplify]: Simplify 1.0 into 1.0 8.712 * [taylor]: Taking taylor expansion of N in N 8.712 * [backup-simplify]: Simplify 0 into 0 8.712 * [backup-simplify]: Simplify 1 into 1 8.712 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.713 * [backup-simplify]: Simplify (+ 1 0) into 1 8.713 * [backup-simplify]: Simplify (log 1) into 0 8.713 * [taylor]: Taking taylor expansion of (log1p (* 1.0 N)) in N 8.713 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 N))) 8.713 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 N)) in N 8.713 * [taylor]: Taking taylor expansion of 1 in N 8.713 * [backup-simplify]: Simplify 1 into 1 8.713 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.713 * [taylor]: Taking taylor expansion of 1.0 in N 8.713 * [backup-simplify]: Simplify 1.0 into 1.0 8.713 * [taylor]: Taking taylor expansion of N in N 8.713 * [backup-simplify]: Simplify 0 into 0 8.713 * [backup-simplify]: Simplify 1 into 1 8.713 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.714 * [backup-simplify]: Simplify (+ 1 0) into 1 8.714 * [backup-simplify]: Simplify (log 1) into 0 8.714 * [backup-simplify]: Simplify 0 into 0 8.715 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.715 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 8.719 * [backup-simplify]: Simplify 1.0 into 1.0 8.719 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.720 * [backup-simplify]: Simplify (+ 0 0) into 0 8.726 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 8.726 * [backup-simplify]: Simplify -0.5 into -0.5 8.727 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.727 * [backup-simplify]: Simplify (+ 0 0) into 0 8.737 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 8.737 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.737 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 8.737 * [backup-simplify]: Simplify (log1p (/ 1.0 (/ 1 (- N)))) into (log1p (* -1.0 N)) 8.737 * [approximate]: Taking taylor expansion of (log1p (* -1.0 N)) in (N) around 0 8.737 * [taylor]: Taking taylor expansion of (log1p (* -1.0 N)) in N 8.738 * [taylor]: Rewrote expression to (log (+ 1 (* -1.0 N))) 8.738 * [taylor]: Taking taylor expansion of (+ 1 (* -1.0 N)) in N 8.738 * [taylor]: Taking taylor expansion of 1 in N 8.738 * [backup-simplify]: Simplify 1 into 1 8.738 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 8.738 * [taylor]: Taking taylor expansion of -1.0 in N 8.738 * [backup-simplify]: Simplify -1.0 into -1.0 8.738 * [taylor]: Taking taylor expansion of N in N 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify 1 into 1 8.738 * [backup-simplify]: Simplify (* -1.0 0) into 0 8.739 * [backup-simplify]: Simplify (+ 1 0) into 1 8.739 * [backup-simplify]: Simplify (log 1) into 0 8.739 * [taylor]: Taking taylor expansion of (log1p (* -1.0 N)) in N 8.739 * [taylor]: Rewrote expression to (log (+ 1 (* -1.0 N))) 8.739 * [taylor]: Taking taylor expansion of (+ 1 (* -1.0 N)) in N 8.739 * [taylor]: Taking taylor expansion of 1 in N 8.739 * [backup-simplify]: Simplify 1 into 1 8.739 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 8.739 * [taylor]: Taking taylor expansion of -1.0 in N 8.739 * [backup-simplify]: Simplify -1.0 into -1.0 8.740 * [taylor]: Taking taylor expansion of N in N 8.740 * [backup-simplify]: Simplify 0 into 0 8.740 * [backup-simplify]: Simplify 1 into 1 8.740 * [backup-simplify]: Simplify (* -1.0 0) into 0 8.740 * [backup-simplify]: Simplify (+ 1 0) into 1 8.741 * [backup-simplify]: Simplify (log 1) into 0 8.741 * [backup-simplify]: Simplify 0 into 0 8.742 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 8.743 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 8.757 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 8.758 * [backup-simplify]: Simplify -1.0 into -1.0 8.759 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.759 * [backup-simplify]: Simplify (+ 0 0) into 0 8.773 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 8.773 * [backup-simplify]: Simplify -0.5 into -0.5 8.774 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.775 * [backup-simplify]: Simplify (+ 0 0) into 0 8.793 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 8.793 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 8.793 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 8.794 * * * [progress]: simplifying candidates 8.794 * [simplify]: Simplifying: (+ 1 (/ 1.0 N)) (expm1 (log1p (/ 1.0 N))) (log1p (log1p (/ 1.0 N))) (log (log1p (/ 1.0 N))) (exp (log1p (/ 1.0 N))) (* (cbrt (log1p (/ 1.0 N))) (cbrt (log1p (/ 1.0 N)))) (cbrt (log1p (/ 1.0 N))) (* (* (log1p (/ 1.0 N)) (log1p (/ 1.0 N))) (log1p (/ 1.0 N))) (sqrt (log1p (/ 1.0 N))) (sqrt (log1p (/ 1.0 N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 8.794 * * [simplify]: Extracting # 0 : cost 0 8.794 * * [simplify]: Extracting # 1 : cost 0 8.794 * * [simplify]: Extracting # 2 : cost 0 8.794 * * [simplify]: Extracting # 3 : cost 0 8.794 * * [simplify]: Extracting # 4 : cost 0 8.795 * * [simplify]: Extracting # 5 : cost 0 8.795 * * [simplify]: Extracting # 6 : cost 0 8.795 * * [simplify]: Extracting # 7 : cost 0 8.795 * * [simplify]: Extracting # 8 : cost 0 8.795 * * [simplify]: Extracting # 9 : cost 0 8.795 * * [simplify]: iteration 0 : 39 enodes (cost 126 ) 8.805 * * [simplify]: Extracting # 0 : cost 0 8.805 * * [simplify]: Extracting # 1 : cost 0 8.805 * * [simplify]: Extracting # 2 : cost 0 8.805 * * [simplify]: Extracting # 3 : cost 0 8.805 * * [simplify]: Extracting # 4 : cost 0 8.805 * * [simplify]: iteration 1 : 85 enodes (cost 120 ) 8.831 * * [simplify]: Extracting # 0 : cost 0 8.831 * * [simplify]: Extracting # 1 : cost 0 8.831 * * [simplify]: Extracting # 2 : cost 0 8.832 * * [simplify]: Extracting # 3 : cost 0 8.832 * * [simplify]: Extracting # 4 : cost 0 8.832 * * [simplify]: iteration 2 : 196 enodes (cost 102 ) 8.929 * * [simplify]: Extracting # 0 : cost 0 8.929 * * [simplify]: Extracting # 1 : cost 0 8.930 * * [simplify]: Extracting # 2 : cost 0 8.930 * * [simplify]: Extracting # 3 : cost 0 8.930 * * [simplify]: Extracting # 4 : cost 0 8.931 * * [simplify]: iteration 3 : 430 enodes (cost 102 ) 9.165 * * [simplify]: Extracting # 0 : cost 0 9.167 * * [simplify]: Extracting # 1 : cost 0 9.169 * * [simplify]: Extracting # 2 : cost 0 9.171 * * [simplify]: Extracting # 3 : cost 0 9.173 * * [simplify]: iteration 4 : 991 enodes (cost 100 ) 10.082 * * [simplify]: Extracting # 0 : cost 0 10.087 * * [simplify]: Extracting # 1 : cost 0 10.091 * * [simplify]: Extracting # 2 : cost 0 10.095 * * [simplify]: Extracting # 3 : cost 0 10.099 * * [simplify]: Extracting # 4 : cost 0 10.103 * * [simplify]: iteration 5 : 2352 enodes (cost 98 ) 12.539 * * [simplify]: Extracting # 0 : cost 0 12.547 * * [simplify]: Extracting # 1 : cost 0 12.551 * * [simplify]: Extracting # 2 : cost 0 12.557 * * [simplify]: Extracting # 3 : cost 0 12.565 * * [simplify]: Extracting # 4 : cost 0 12.573 * * [simplify]: iteration done: 5000 enodes (cost 92 ) 12.574 * [simplify]: Simplified to: (+ 1 (/ 1.0 N)) (/ 1.0 N) (log1p (log1p (/ 1.0 N))) (log (log1p (/ 1.0 N))) (exp (log1p (/ 1.0 N))) (* (cbrt (log1p (/ 1.0 N))) (cbrt (log1p (/ 1.0 N)))) (cbrt (log1p (/ 1.0 N))) (pow (log1p (/ 1.0 N)) 3) (sqrt (log1p (/ 1.0 N))) (sqrt (log1p (/ 1.0 N))) (fma N (fma -1/2 (/ N (pow 1.0 2)) 1.0) (- (log 1.0) (log N))) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) 12.574 * * * [progress]: adding candidates to table 12.625 * * [progress]: iteration 4 / 4 12.625 * * * [progress]: picking best candidate 12.628 * * * * [pick]: Picked # 12.628 * * * [progress]: localizing error 12.643 * * * [progress]: generating rewritten candidates 12.643 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2) 12.720 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 12.986 * * * [progress]: generating series expansions 12.986 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2) 12.986 * [backup-simplify]: Simplify (/ (- (/ 0.3333333333333333 N) 0.5) N) into (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) N) 12.986 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) N) in (N) around 0 12.986 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) N) in N 12.986 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 12.986 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 12.986 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 12.986 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.986 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.986 * [taylor]: Taking taylor expansion of N in N 12.986 * [backup-simplify]: Simplify 0 into 0 12.986 * [backup-simplify]: Simplify 1 into 1 12.987 * [backup-simplify]: Simplify (/ 1 1) into 1 12.987 * [taylor]: Taking taylor expansion of 0.5 in N 12.987 * [backup-simplify]: Simplify 0.5 into 0.5 12.987 * [taylor]: Taking taylor expansion of N in N 12.987 * [backup-simplify]: Simplify 0 into 0 12.987 * [backup-simplify]: Simplify 1 into 1 12.987 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 12.987 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 12.988 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 12.988 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) N) in N 12.988 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 12.988 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 12.988 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 12.988 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.988 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.988 * [taylor]: Taking taylor expansion of N in N 12.988 * [backup-simplify]: Simplify 0 into 0 12.988 * [backup-simplify]: Simplify 1 into 1 12.988 * [backup-simplify]: Simplify (/ 1 1) into 1 12.988 * [taylor]: Taking taylor expansion of 0.5 in N 12.988 * [backup-simplify]: Simplify 0.5 into 0.5 12.988 * [taylor]: Taking taylor expansion of N in N 12.988 * [backup-simplify]: Simplify 0 into 0 12.988 * [backup-simplify]: Simplify 1 into 1 12.988 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 12.989 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 12.989 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 12.989 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.990 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 12.990 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 12.991 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 12.992 * [backup-simplify]: Simplify (- (/ (- 0.5) 1) (+ (* 0.3333333333333333 (/ 0 1)))) into (- 0.5) 12.993 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 12.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.994 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 12.994 * [backup-simplify]: Simplify (- 0) into 0 12.994 * [backup-simplify]: Simplify (+ 0 0) into 0 12.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)))) into 0 12.995 * [backup-simplify]: Simplify 0 into 0 12.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.996 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.996 * [backup-simplify]: Simplify (- 0) into 0 12.997 * [backup-simplify]: Simplify (+ 0 0) into 0 12.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.997 * [backup-simplify]: Simplify 0 into 0 12.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.999 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.999 * [backup-simplify]: Simplify (- 0) into 0 12.999 * [backup-simplify]: Simplify (+ 0 0) into 0 13.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.000 * [backup-simplify]: Simplify 0 into 0 13.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.001 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.002 * [backup-simplify]: Simplify (- 0) into 0 13.002 * [backup-simplify]: Simplify (+ 0 0) into 0 13.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.003 * [backup-simplify]: Simplify 0 into 0 13.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.004 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.004 * [backup-simplify]: Simplify (- 0) into 0 13.005 * [backup-simplify]: Simplify (+ 0 0) into 0 13.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.005 * [backup-simplify]: Simplify 0 into 0 13.006 * [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 13.009 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 13.009 * [backup-simplify]: Simplify (- 0) into 0 13.009 * [backup-simplify]: Simplify (+ 0 0) into 0 13.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.011 * [backup-simplify]: Simplify 0 into 0 13.012 * [backup-simplify]: Simplify (+ (* (- 0.5) (/ 1 N)) (* 0.3333333333333333 (pow (/ 1 N) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 2))) (* 0.5 (/ 1 N))) 13.012 * [backup-simplify]: Simplify (/ (- (/ 0.3333333333333333 (/ 1 N)) 0.5) (/ 1 N)) into (* N (- (* 0.3333333333333333 N) 0.5)) 13.012 * [approximate]: Taking taylor expansion of (* N (- (* 0.3333333333333333 N) 0.5)) in (N) around 0 13.012 * [taylor]: Taking taylor expansion of (* N (- (* 0.3333333333333333 N) 0.5)) in N 13.012 * [taylor]: Taking taylor expansion of N in N 13.012 * [backup-simplify]: Simplify 0 into 0 13.012 * [backup-simplify]: Simplify 1 into 1 13.012 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 13.012 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 13.013 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.013 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.013 * [taylor]: Taking taylor expansion of N in N 13.013 * [backup-simplify]: Simplify 0 into 0 13.013 * [backup-simplify]: Simplify 1 into 1 13.013 * [taylor]: Taking taylor expansion of 0.5 in N 13.013 * [backup-simplify]: Simplify 0.5 into 0.5 13.013 * [taylor]: Taking taylor expansion of (* N (- (* 0.3333333333333333 N) 0.5)) in N 13.013 * [taylor]: Taking taylor expansion of N in N 13.013 * [backup-simplify]: Simplify 0 into 0 13.013 * [backup-simplify]: Simplify 1 into 1 13.013 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 13.013 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 13.013 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.013 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.013 * [taylor]: Taking taylor expansion of N in N 13.013 * [backup-simplify]: Simplify 0 into 0 13.013 * [backup-simplify]: Simplify 1 into 1 13.013 * [taylor]: Taking taylor expansion of 0.5 in N 13.013 * [backup-simplify]: Simplify 0.5 into 0.5 13.014 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 13.014 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.015 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 13.015 * [backup-simplify]: Simplify (* 0 (- 0.5)) into 0 13.016 * [backup-simplify]: Simplify 0 into 0 13.017 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 13.017 * [backup-simplify]: Simplify (- 0) into 0 13.018 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.020 * [backup-simplify]: Simplify (+ (* 0 0.3333333333333333) (* 1 (- 0.5))) into (- 0.5) 13.020 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.021 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 13.022 * [backup-simplify]: Simplify (- 0) into 0 13.022 * [backup-simplify]: Simplify (+ 0 0) into 0 13.026 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0.3333333333333333) (* 0 (- 0.5)))) into 0.3333333333333333 13.026 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.027 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.027 * [backup-simplify]: Simplify (- 0) into 0 13.028 * [backup-simplify]: Simplify (+ 0 0) into 0 13.029 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))) into 0 13.029 * [backup-simplify]: Simplify 0 into 0 13.031 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.031 * [backup-simplify]: Simplify (- 0) into 0 13.032 * [backup-simplify]: Simplify (+ 0 0) into 0 13.033 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))) into 0 13.034 * [backup-simplify]: Simplify 0 into 0 13.034 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.035 * [backup-simplify]: Simplify (- 0) into 0 13.035 * [backup-simplify]: Simplify (+ 0 0) into 0 13.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))) into 0 13.036 * [backup-simplify]: Simplify 0 into 0 13.037 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.037 * [backup-simplify]: Simplify (- 0) into 0 13.037 * [backup-simplify]: Simplify (+ 0 0) into 0 13.038 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))))) into 0 13.038 * [backup-simplify]: Simplify 0 into 0 13.039 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 13.040 * [backup-simplify]: Simplify (- 0) into 0 13.040 * [backup-simplify]: Simplify (+ 0 0) into 0 13.041 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))))) into 0 13.041 * [backup-simplify]: Simplify 0 into 0 13.042 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 13.042 * [backup-simplify]: Simplify (- 0) into 0 13.043 * [backup-simplify]: Simplify (+ 0 0) into 0 13.044 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))))))) into 0 13.044 * [backup-simplify]: Simplify 0 into 0 13.045 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 2)) (* (- 0.5) (/ 1 N))) into (- (* 0.3333333333333333 (/ 1 (pow N 2))) (* 0.5 (/ 1 N))) 13.045 * [backup-simplify]: Simplify (/ (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5) (/ 1 (- N))) into (* (+ (* 0.3333333333333333 N) 0.5) N) 13.045 * [approximate]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) N) in (N) around 0 13.045 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) N) in N 13.045 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 13.045 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 13.045 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.045 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.045 * [taylor]: Taking taylor expansion of N in N 13.045 * [backup-simplify]: Simplify 0 into 0 13.045 * [backup-simplify]: Simplify 1 into 1 13.045 * [taylor]: Taking taylor expansion of 0.5 in N 13.045 * [backup-simplify]: Simplify 0.5 into 0.5 13.045 * [taylor]: Taking taylor expansion of N in N 13.045 * [backup-simplify]: Simplify 0 into 0 13.045 * [backup-simplify]: Simplify 1 into 1 13.045 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) N) in N 13.045 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 13.045 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 13.045 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.045 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.045 * [taylor]: Taking taylor expansion of N in N 13.045 * [backup-simplify]: Simplify 0 into 0 13.045 * [backup-simplify]: Simplify 1 into 1 13.045 * [taylor]: Taking taylor expansion of 0.5 in N 13.045 * [backup-simplify]: Simplify 0.5 into 0.5 13.045 * [taylor]: Taking taylor expansion of N in N 13.045 * [backup-simplify]: Simplify 0 into 0 13.045 * [backup-simplify]: Simplify 1 into 1 13.046 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 13.046 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 13.046 * [backup-simplify]: Simplify (* 0.5 0) into 0 13.046 * [backup-simplify]: Simplify 0 into 0 13.047 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 13.047 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.048 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0.3333333333333333 0)) into 0.5 13.048 * [backup-simplify]: Simplify 0.5 into 0.5 13.049 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 13.049 * [backup-simplify]: Simplify (+ 0 0) into 0 13.051 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 1) (* 0 0))) into 0.3333333333333333 13.051 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.051 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.052 * [backup-simplify]: Simplify (+ 0 0) into 0 13.052 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0)))) into 0 13.052 * [backup-simplify]: Simplify 0 into 0 13.053 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.053 * [backup-simplify]: Simplify (+ 0 0) into 0 13.054 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.054 * [backup-simplify]: Simplify 0 into 0 13.055 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.055 * [backup-simplify]: Simplify (+ 0 0) into 0 13.056 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.056 * [backup-simplify]: Simplify 0 into 0 13.060 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.060 * [backup-simplify]: Simplify (+ 0 0) into 0 13.062 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.062 * [backup-simplify]: Simplify 0 into 0 13.063 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 13.063 * [backup-simplify]: Simplify (+ 0 0) into 0 13.064 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 13.064 * [backup-simplify]: Simplify 0 into 0 13.065 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 13.065 * [backup-simplify]: Simplify (+ 0 0) into 0 13.067 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 13.067 * [backup-simplify]: Simplify 0 into 0 13.067 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 (- N)) 2)) (* 0.5 (/ 1 (- N)))) into (- (* 0.3333333333333333 (/ 1 (pow N 2))) (* 0.5 (/ 1 N))) 13.067 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 13.067 * [backup-simplify]: Simplify (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) into (/ (- (+ (* 0.3333333333333333 (/ 1 (pow N 2))) 1.0) (* 0.5 (/ 1 N))) N) 13.067 * [approximate]: Taking taylor expansion of (/ (- (+ (* 0.3333333333333333 (/ 1 (pow N 2))) 1.0) (* 0.5 (/ 1 N))) N) in (N) around 0 13.067 * [taylor]: Taking taylor expansion of (/ (- (+ (* 0.3333333333333333 (/ 1 (pow N 2))) 1.0) (* 0.5 (/ 1 N))) N) in N 13.067 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 2))) 1.0) (* 0.5 (/ 1 N))) in N 13.067 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 2))) 1.0) in N 13.067 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 2))) in N 13.067 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.067 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.067 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 13.068 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.068 * [taylor]: Taking taylor expansion of N in N 13.068 * [backup-simplify]: Simplify 0 into 0 13.068 * [backup-simplify]: Simplify 1 into 1 13.068 * [backup-simplify]: Simplify (* 1 1) into 1 13.068 * [backup-simplify]: Simplify (/ 1 1) into 1 13.068 * [taylor]: Taking taylor expansion of 1.0 in N 13.068 * [backup-simplify]: Simplify 1.0 into 1.0 13.068 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 13.068 * [taylor]: Taking taylor expansion of 0.5 in N 13.068 * [backup-simplify]: Simplify 0.5 into 0.5 13.068 * [taylor]: Taking taylor expansion of (/ 1 N) in N 13.068 * [taylor]: Taking taylor expansion of N in N 13.068 * [backup-simplify]: Simplify 0 into 0 13.068 * [backup-simplify]: Simplify 1 into 1 13.069 * [backup-simplify]: Simplify (/ 1 1) into 1 13.069 * [taylor]: Taking taylor expansion of N in N 13.069 * [backup-simplify]: Simplify 0 into 0 13.069 * [backup-simplify]: Simplify 1 into 1 13.069 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 13.069 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.070 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.070 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 13.070 * [taylor]: Taking taylor expansion of (/ (- (+ (* 0.3333333333333333 (/ 1 (pow N 2))) 1.0) (* 0.5 (/ 1 N))) N) in N 13.070 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 2))) 1.0) (* 0.5 (/ 1 N))) in N 13.070 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 2))) 1.0) in N 13.070 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 2))) in N 13.070 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.070 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.070 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 13.070 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.070 * [taylor]: Taking taylor expansion of N in N 13.070 * [backup-simplify]: Simplify 0 into 0 13.070 * [backup-simplify]: Simplify 1 into 1 13.071 * [backup-simplify]: Simplify (* 1 1) into 1 13.071 * [backup-simplify]: Simplify (/ 1 1) into 1 13.071 * [taylor]: Taking taylor expansion of 1.0 in N 13.071 * [backup-simplify]: Simplify 1.0 into 1.0 13.071 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 13.071 * [taylor]: Taking taylor expansion of 0.5 in N 13.071 * [backup-simplify]: Simplify 0.5 into 0.5 13.071 * [taylor]: Taking taylor expansion of (/ 1 N) in N 13.071 * [taylor]: Taking taylor expansion of N in N 13.071 * [backup-simplify]: Simplify 0 into 0 13.071 * [backup-simplify]: Simplify 1 into 1 13.071 * [backup-simplify]: Simplify (/ 1 1) into 1 13.071 * [taylor]: Taking taylor expansion of N in N 13.071 * [backup-simplify]: Simplify 0 into 0 13.071 * [backup-simplify]: Simplify 1 into 1 13.072 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 13.072 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.072 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.072 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 13.072 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.074 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 13.074 * [backup-simplify]: Simplify (+ 0 0) into 0 13.074 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.074 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.075 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 13.076 * [backup-simplify]: Simplify (- (/ (- 0.5) 1) (+ (* 0.3333333333333333 (/ 0 1)))) into (- 0.5) 13.077 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.078 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 13.079 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 13.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.080 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 13.080 * [backup-simplify]: Simplify (- 0) into 0 13.080 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.082 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)))) into 1.0 13.082 * [backup-simplify]: Simplify 1.0 into 1.0 13.082 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 13.083 * [backup-simplify]: Simplify (/ (+ 1.0 (/ (- (/ 0.3333333333333333 (/ 1 N)) 0.5) (/ 1 N))) (/ 1 N)) into (* N (- (+ (* 0.3333333333333333 (pow N 2)) 1.0) (* 0.5 N))) 13.083 * [approximate]: Taking taylor expansion of (* N (- (+ (* 0.3333333333333333 (pow N 2)) 1.0) (* 0.5 N))) in (N) around 0 13.083 * [taylor]: Taking taylor expansion of (* N (- (+ (* 0.3333333333333333 (pow N 2)) 1.0) (* 0.5 N))) in N 13.083 * [taylor]: Taking taylor expansion of N in N 13.083 * [backup-simplify]: Simplify 0 into 0 13.083 * [backup-simplify]: Simplify 1 into 1 13.083 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (pow N 2)) 1.0) (* 0.5 N)) in N 13.083 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 2)) 1.0) in N 13.083 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 2)) in N 13.083 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.083 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.083 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.083 * [taylor]: Taking taylor expansion of N in N 13.083 * [backup-simplify]: Simplify 0 into 0 13.083 * [backup-simplify]: Simplify 1 into 1 13.083 * [taylor]: Taking taylor expansion of 1.0 in N 13.083 * [backup-simplify]: Simplify 1.0 into 1.0 13.083 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 13.083 * [taylor]: Taking taylor expansion of 0.5 in N 13.083 * [backup-simplify]: Simplify 0.5 into 0.5 13.083 * [taylor]: Taking taylor expansion of N in N 13.083 * [backup-simplify]: Simplify 0 into 0 13.083 * [backup-simplify]: Simplify 1 into 1 13.083 * [taylor]: Taking taylor expansion of (* N (- (+ (* 0.3333333333333333 (pow N 2)) 1.0) (* 0.5 N))) in N 13.083 * [taylor]: Taking taylor expansion of N in N 13.083 * [backup-simplify]: Simplify 0 into 0 13.083 * [backup-simplify]: Simplify 1 into 1 13.083 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (pow N 2)) 1.0) (* 0.5 N)) in N 13.083 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 2)) 1.0) in N 13.083 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 2)) in N 13.083 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.083 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.083 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.083 * [taylor]: Taking taylor expansion of N in N 13.083 * [backup-simplify]: Simplify 0 into 0 13.083 * [backup-simplify]: Simplify 1 into 1 13.083 * [taylor]: Taking taylor expansion of 1.0 in N 13.083 * [backup-simplify]: Simplify 1.0 into 1.0 13.083 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 13.083 * [taylor]: Taking taylor expansion of 0.5 in N 13.083 * [backup-simplify]: Simplify 0.5 into 0.5 13.083 * [taylor]: Taking taylor expansion of N in N 13.083 * [backup-simplify]: Simplify 0 into 0 13.083 * [backup-simplify]: Simplify 1 into 1 13.084 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 13.084 * [backup-simplify]: Simplify (* 0.5 0) into 0 13.084 * [backup-simplify]: Simplify (- 0) into 0 13.085 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.085 * [backup-simplify]: Simplify (* 0 1.0) into 0 13.085 * [backup-simplify]: Simplify 0 into 0 13.085 * [backup-simplify]: Simplify (+ 0 0) into 0 13.086 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 13.086 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.087 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 13.088 * [backup-simplify]: Simplify (+ (* 0 (- 0.5)) (* 1 1.0)) into 1.0 13.088 * [backup-simplify]: Simplify 1.0 into 1.0 13.088 * [backup-simplify]: Simplify (* 1 1) into 1 13.088 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 13.089 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.089 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 13.090 * [backup-simplify]: Simplify (- 0) into 0 13.090 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.092 * [backup-simplify]: Simplify (+ (* 0 0.3333333333333333) (+ (* 1 (- 0.5)) (* 0 1.0))) into (- 0.5) 13.092 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.093 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 13.094 * [backup-simplify]: Simplify (+ 0 0) into 0 13.094 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.094 * [backup-simplify]: Simplify (- 0) into 0 13.095 * [backup-simplify]: Simplify (+ 0 0) into 0 13.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0.3333333333333333) (+ (* 0 (- 0.5)) (* 0 1.0)))) into 0.3333333333333333 13.097 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.098 * [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)))) 13.098 * [backup-simplify]: Simplify (/ (+ 1.0 (/ (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5) (/ 1 (- N)))) (/ 1 (- N))) into (* -1 (* N (+ (* 0.3333333333333333 (pow N 2)) (+ (* 0.5 N) 1.0)))) 13.098 * [approximate]: Taking taylor expansion of (* -1 (* N (+ (* 0.3333333333333333 (pow N 2)) (+ (* 0.5 N) 1.0)))) in (N) around 0 13.098 * [taylor]: Taking taylor expansion of (* -1 (* N (+ (* 0.3333333333333333 (pow N 2)) (+ (* 0.5 N) 1.0)))) in N 13.098 * [taylor]: Taking taylor expansion of -1 in N 13.098 * [backup-simplify]: Simplify -1 into -1 13.098 * [taylor]: Taking taylor expansion of (* N (+ (* 0.3333333333333333 (pow N 2)) (+ (* 0.5 N) 1.0))) in N 13.098 * [taylor]: Taking taylor expansion of N in N 13.098 * [backup-simplify]: Simplify 0 into 0 13.098 * [backup-simplify]: Simplify 1 into 1 13.098 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 2)) (+ (* 0.5 N) 1.0)) in N 13.098 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 2)) in N 13.098 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.098 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.098 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.099 * [taylor]: Taking taylor expansion of N in N 13.099 * [backup-simplify]: Simplify 0 into 0 13.099 * [backup-simplify]: Simplify 1 into 1 13.099 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 13.099 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 13.099 * [taylor]: Taking taylor expansion of 0.5 in N 13.099 * [backup-simplify]: Simplify 0.5 into 0.5 13.099 * [taylor]: Taking taylor expansion of N in N 13.099 * [backup-simplify]: Simplify 0 into 0 13.099 * [backup-simplify]: Simplify 1 into 1 13.099 * [taylor]: Taking taylor expansion of 1.0 in N 13.099 * [backup-simplify]: Simplify 1.0 into 1.0 13.099 * [taylor]: Taking taylor expansion of (* -1 (* N (+ (* 0.3333333333333333 (pow N 2)) (+ (* 0.5 N) 1.0)))) in N 13.099 * [taylor]: Taking taylor expansion of -1 in N 13.099 * [backup-simplify]: Simplify -1 into -1 13.099 * [taylor]: Taking taylor expansion of (* N (+ (* 0.3333333333333333 (pow N 2)) (+ (* 0.5 N) 1.0))) in N 13.099 * [taylor]: Taking taylor expansion of N in N 13.099 * [backup-simplify]: Simplify 0 into 0 13.099 * [backup-simplify]: Simplify 1 into 1 13.099 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 2)) (+ (* 0.5 N) 1.0)) in N 13.099 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 2)) in N 13.099 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.099 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.099 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.099 * [taylor]: Taking taylor expansion of N in N 13.099 * [backup-simplify]: Simplify 0 into 0 13.099 * [backup-simplify]: Simplify 1 into 1 13.099 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 13.099 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 13.099 * [taylor]: Taking taylor expansion of 0.5 in N 13.099 * [backup-simplify]: Simplify 0.5 into 0.5 13.099 * [taylor]: Taking taylor expansion of N in N 13.099 * [backup-simplify]: Simplify 0 into 0 13.099 * [backup-simplify]: Simplify 1 into 1 13.099 * [taylor]: Taking taylor expansion of 1.0 in N 13.099 * [backup-simplify]: Simplify 1.0 into 1.0 13.099 * [backup-simplify]: Simplify (* 0.5 0) into 0 13.100 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 13.100 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 13.100 * [backup-simplify]: Simplify (* 0 1.0) into 0 13.100 * [backup-simplify]: Simplify (* -1 0) into 0 13.101 * [backup-simplify]: Simplify 0 into 0 13.101 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 13.102 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 13.102 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 13.103 * [backup-simplify]: Simplify (+ (* 0 0.5) (* 1 1.0)) into 1.0 13.104 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 0)) into (- 1.0) 13.104 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 13.104 * [backup-simplify]: Simplify (* 1 1) into 1 13.104 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 13.105 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 13.105 * [backup-simplify]: Simplify (+ 0 0) into 0 13.105 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.107 * [backup-simplify]: Simplify (+ (* 0 0.3333333333333333) (+ (* 1 0.5) (* 0 1.0))) into 0.5 13.108 * [backup-simplify]: Simplify (+ (* -1 0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.5) 13.109 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.109 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 13.110 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.110 * [backup-simplify]: Simplify (+ 0 0) into 0 13.111 * [backup-simplify]: Simplify (+ 0 0) into 0 13.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0.3333333333333333) (+ (* 0 0.5) (* 0 1.0)))) into 0.3333333333333333 13.115 * [backup-simplify]: Simplify (+ (* -1 0.3333333333333333) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))) into (- 0.3333333333333333) 13.115 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 13.116 * [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)))) 13.116 * * * [progress]: simplifying candidates 13.118 * [simplify]: Simplifying: (expm1 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (log1p (/ (- (/ 0.3333333333333333 N) 0.5) N)) (- (log (- (/ 0.3333333333333333 N) 0.5)) (log N)) (log (/ (- (/ 0.3333333333333333 N) 0.5) N)) (exp (/ (- (/ 0.3333333333333333 N) 0.5) N)) (/ (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5)) (* (* N N) N)) (* (cbrt (/ (- (/ 0.3333333333333333 N) 0.5) N)) (cbrt (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt (/ (- (/ 0.3333333333333333 N) 0.5) N)) (* (* (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) N)) (/ (- (/ 0.3333333333333333 N) 0.5) N)) (sqrt (/ (- (/ 0.3333333333333333 N) 0.5) N)) (sqrt (/ (- (/ 0.3333333333333333 N) 0.5) N)) (- (- (/ 0.3333333333333333 N) 0.5)) (- N) (/ (/ 0.3333333333333333 N) N) (/ 0.5 N) (/ (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) (* (cbrt N) (cbrt N))) (/ (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt N)) (/ (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) (sqrt N)) (/ (cbrt (- (/ 0.3333333333333333 N) 0.5)) (sqrt N)) (/ (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) 1) (/ (cbrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) (* (cbrt N) (cbrt N))) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt N)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) (sqrt N)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) (sqrt N)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt N)) (/ 1 (sqrt N)) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt N)) (/ 1 1) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (* (cbrt N) (cbrt N))) (/ (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (cbrt N)) (/ (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (sqrt N)) (/ (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (sqrt N)) (/ (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) 1) (/ (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) N) (/ (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (* (cbrt N) (cbrt N))) (/ (- (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (cbrt N)) (/ (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (sqrt N)) (/ (- (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (sqrt N)) (/ (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) 1) (/ (- (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt N)) (/ 1 (sqrt N)) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt N)) (/ 1 1) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ 1 N) (/ N (- (/ 0.3333333333333333 N) 0.5)) (/ (- (/ 0.3333333333333333 N) 0.5) (* (cbrt N) (cbrt N))) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt N)) (/ (- (/ 0.3333333333333333 N) 0.5) 1) (/ N (cbrt (- (/ 0.3333333333333333 N) 0.5))) (/ N (sqrt (- (/ 0.3333333333333333 N) 0.5))) (/ N (- (/ 0.3333333333333333 N) 0.5)) (/ N (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5))) (/ N (- (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5))) (/ N (- (/ 0.3333333333333333 N) 0.5)) (* N (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) (* N (+ (/ 0.3333333333333333 N) 0.5)) (expm1 (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (log1p (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (- (log (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (log N)) (log (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (exp (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (/ (* (* (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (* (* N N) N)) (* (cbrt (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (cbrt (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N))) (cbrt (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (* (* (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (sqrt (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (sqrt (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (- (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (- N) (/ (+ 1.0 (/ (/ 0.3333333333333333 N) N)) N) (/ (/ 0.5 N) N) (/ (* (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt N)) (/ (* (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)))) (sqrt N)) (/ (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (sqrt N)) (/ (* (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)))) 1) (/ (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) N) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt N)) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (sqrt N)) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (sqrt N)) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) 1) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (sqrt N)) (/ 1 1) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (sqrt N)) (/ 1 1) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) (/ 1 N) (/ N (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (* (cbrt N) (cbrt N))) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (sqrt N)) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) 1) (/ N (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)))) (/ N (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)))) (/ N (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (/ N (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (* N (+ (* 1.0 1.0) (- (* (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) N)) (* 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))))) (* N (- 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (- (* 0.3333333333333333 (/ 1 (pow N 2))) (* 0.5 (/ 1 N))) (- (* 0.3333333333333333 (/ 1 (pow N 2))) (* 0.5 (/ 1 N))) (- (* 0.3333333333333333 (/ 1 (pow N 2))) (* 0.5 (/ 1 N))) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 13.120 * * [simplify]: Extracting # 0 : cost 0 13.120 * * [simplify]: Extracting # 1 : cost 0 13.120 * * [simplify]: Extracting # 2 : cost 0 13.120 * * [simplify]: Extracting # 3 : cost 0 13.120 * * [simplify]: Extracting # 4 : cost 0 13.121 * * [simplify]: Extracting # 5 : cost 0 13.121 * * [simplify]: Extracting # 6 : cost 0 13.121 * * [simplify]: Extracting # 7 : cost 0 13.121 * * [simplify]: Extracting # 8 : cost 0 13.121 * * [simplify]: iteration 0 : 151 enodes (cost 1337 ) 13.194 * * [simplify]: Extracting # 0 : cost 0 13.195 * * [simplify]: Extracting # 1 : cost 0 13.196 * * [simplify]: Extracting # 2 : cost 0 13.197 * * [simplify]: Extracting # 3 : cost 0 13.198 * * [simplify]: Extracting # 4 : cost 0 13.198 * * [simplify]: iteration 1 : 349 enodes (cost 1292 ) 13.437 * * [simplify]: Extracting # 0 : cost 0 13.439 * * [simplify]: Extracting # 1 : cost 0 13.441 * * [simplify]: Extracting # 2 : cost 0 13.443 * * [simplify]: Extracting # 3 : cost 0 13.445 * * [simplify]: iteration 2 : 893 enodes (cost 1191 ) 13.957 * * [simplify]: Extracting # 0 : cost 0 13.960 * * [simplify]: Extracting # 1 : cost 0 13.963 * * [simplify]: Extracting # 2 : cost 0 13.965 * * [simplify]: Extracting # 3 : cost 0 13.968 * * [simplify]: Extracting # 4 : cost 0 13.970 * * [simplify]: iteration 3 : 2409 enodes (cost 1182 ) 15.089 * * [simplify]: Extracting # 0 : cost 0 15.094 * * [simplify]: Extracting # 1 : cost 0 15.100 * * [simplify]: Extracting # 2 : cost 0 15.105 * * [simplify]: Extracting # 3 : cost 0 15.111 * * [simplify]: Extracting # 4 : cost 0 15.121 * * [simplify]: iteration done: 5000 enodes (cost 1170 ) 15.129 * [simplify]: Simplified to: (expm1 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (log1p (/ (- (/ 0.3333333333333333 N) 0.5) N)) (log (/ (- (/ 0.3333333333333333 N) 0.5) N)) (log (/ (- (/ 0.3333333333333333 N) 0.5) N)) (exp (/ (- (/ 0.3333333333333333 N) 0.5) N)) (pow (/ (- (/ 0.3333333333333333 N) 0.5) N) 3) (* (cbrt (/ (- (/ 0.3333333333333333 N) 0.5) N)) (cbrt (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt (/ (- (/ 0.3333333333333333 N) 0.5) N)) (pow (/ (- (/ 0.3333333333333333 N) 0.5) N) 3) (sqrt (/ (- (/ 0.3333333333333333 N) 0.5) N)) (sqrt (/ (- (/ 0.3333333333333333 N) 0.5) N)) (- (- (/ 0.3333333333333333 N) 0.5)) (- N) (/ (/ 0.3333333333333333 N) N) (/ 0.5 N) (/ (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) (* (cbrt N) (cbrt N))) (/ (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt N)) (/ (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) (sqrt N)) (/ (cbrt (- (/ 0.3333333333333333 N) 0.5)) (sqrt N)) (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) (/ (cbrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) (* (cbrt N) (cbrt N))) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt N)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) (sqrt N)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) (sqrt N)) (sqrt (- (/ 0.3333333333333333 N) 0.5)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt N)) (/ 1 (sqrt N)) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt N)) 1 (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (* (cbrt N) (cbrt N))) (/ (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (cbrt N)) (/ (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (sqrt N)) (/ (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (sqrt N)) (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (/ (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) N) (/ (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (* (cbrt N) (cbrt N))) (/ (- (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (cbrt N)) (/ (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (sqrt N)) (- (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.5) (sqrt N))) (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (/ (- (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt N)) (/ 1 (sqrt N)) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt N)) 1 (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ 1 N) (/ N (- (/ 0.3333333333333333 N) 0.5)) (/ (- (/ 0.3333333333333333 N) 0.5) (* (cbrt N) (cbrt N))) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5) (/ N (cbrt (- (/ 0.3333333333333333 N) 0.5))) (/ N (sqrt (- (/ 0.3333333333333333 N) 0.5))) (/ N (- (/ 0.3333333333333333 N) 0.5)) (/ N (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5))) (/ N (- (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5))) (/ N (- (/ 0.3333333333333333 N) 0.5)) (fma (/ 0.3333333333333333 N) 0.3333333333333333 (* (fma 0.5 N 0.3333333333333333) 0.5)) (fma 0.5 N 0.3333333333333333) (expm1 (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (log1p (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (log (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (log (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (exp (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (pow (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) 3) (* (cbrt (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (cbrt (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N))) (cbrt (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (pow (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) 3) (sqrt (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (sqrt (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)) (- (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (- N) (/ (+ 1.0 (/ (/ 0.3333333333333333 N) N)) N) (/ (/ 0.5 N) N) (/ (* (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt N)) (/ (* (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)))) (sqrt N)) (/ (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (sqrt N)) (* (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)))) (/ (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) N) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (cbrt N)) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (sqrt N)) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (sqrt N)) (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (/ (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (sqrt N)) 1 (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (sqrt N)) 1 (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) (/ 1 N) (/ N (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (* (cbrt N) (cbrt N))) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (sqrt N)) (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) (/ N (cbrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)))) (/ N (sqrt (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)))) (/ N (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (/ N (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (* N (fma 1.0 1.0 (* (/ (- (/ 0.3333333333333333 N) 0.5) N) (- (/ (- (/ 0.3333333333333333 N) 0.5) N) 1.0)))) (* N (- 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) 15.130 * * * [progress]: adding candidates to table 15.366 * [progress]: [Phase 3 of 3] Extracting. 15.366 * * [regime]: Finding splitpoints for: (# #) 15.367 * * * [regime-changes]: Trying 1 branch expressions: (N) 15.367 * * * * [regimes]: Trying to branch on N from (# #) 15.379 * * * [regime]: Found split indices: #