22.912 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.086 * * * [progress]: [2/2] Setting up program. 0.091 * [progress]: [Phase 2 of 3] Improving. 0.091 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.091 * * [simplify]: Extracting # 0 : cost 0 0.092 * * [simplify]: Extracting # 1 : cost 0 0.092 * * [simplify]: Extracting # 2 : cost 0 0.092 * * [simplify]: Extracting # 3 : cost 0 0.092 * * [simplify]: Extracting # 4 : cost 0 0.092 * * [simplify]: Extracting # 5 : cost 0 0.092 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.093 * * [simplify]: Extracting # 0 : cost 0 0.093 * * [simplify]: Extracting # 1 : cost 0 0.093 * * [simplify]: Extracting # 2 : cost 0 0.093 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.113 * * [simplify]: Extracting # 0 : cost 0 0.113 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.116 * * [simplify]: Extracting # 0 : cost 0 0.116 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.116 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.116 * * [progress]: iteration 1 / 4 0.116 * * * [progress]: picking best candidate 0.121 * * * * [pick]: Picked # 0.121 * * * [progress]: localizing error 0.141 * * * [progress]: generating rewritten candidates 0.141 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.149 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.179 * * * [progress]: generating series expansions 0.180 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.180 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.180 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.180 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.180 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.180 * [taylor]: Taking taylor expansion of N in N 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [taylor]: Taking taylor expansion of 1.0 in N 0.180 * [backup-simplify]: Simplify 1.0 into 1.0 0.181 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.181 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.181 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.181 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.181 * [taylor]: Taking taylor expansion of N in N 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [taylor]: Taking taylor expansion of 1.0 in N 0.181 * [backup-simplify]: Simplify 1.0 into 1.0 0.182 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.182 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.183 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.183 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.188 * [backup-simplify]: Simplify 1.0 into 1.0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [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)) 0.200 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.201 * [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)))) 0.202 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.202 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.202 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.202 * [taylor]: Taking taylor expansion of N in N 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [taylor]: Taking taylor expansion of 1.0 in N 0.202 * [backup-simplify]: Simplify 1.0 into 1.0 0.203 * [backup-simplify]: Simplify (+ 1 0) into 1 0.203 * [backup-simplify]: Simplify (log 1) into 0 0.203 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.203 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [taylor]: Taking taylor expansion of 1.0 in N 0.203 * [backup-simplify]: Simplify 1.0 into 1.0 0.204 * [backup-simplify]: Simplify (+ 1 0) into 1 0.204 * [backup-simplify]: Simplify (log 1) into 0 0.205 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.205 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.213 * [backup-simplify]: Simplify 1.0 into 1.0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.227 * [backup-simplify]: Simplify -0.5 into -0.5 0.228 * [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)))) 0.228 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.228 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.228 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.228 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.228 * [taylor]: Taking taylor expansion of 1.0 in N 0.228 * [backup-simplify]: Simplify 1.0 into 1.0 0.228 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.228 * [taylor]: Taking taylor expansion of N in N 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [backup-simplify]: Simplify (- 1) into -1 0.230 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.230 * [backup-simplify]: Simplify (log -1) into (log -1) 0.230 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.230 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.230 * [taylor]: Taking taylor expansion of 1.0 in N 0.230 * [backup-simplify]: Simplify 1.0 into 1.0 0.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.230 * [taylor]: Taking taylor expansion of N in N 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [backup-simplify]: Simplify (- 1) into -1 0.231 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.232 * [backup-simplify]: Simplify (log -1) into (log -1) 0.233 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.233 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.242 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.242 * [backup-simplify]: Simplify -1.0 into -1.0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (- 0) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [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 0.264 * [backup-simplify]: Simplify -0.5 into -0.5 0.265 * [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)))) 0.265 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.265 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.265 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.265 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.265 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.265 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.265 * [taylor]: Taking taylor expansion of N in N 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [taylor]: Taking taylor expansion of 1.0 in N 0.265 * [backup-simplify]: Simplify 1.0 into 1.0 0.266 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.266 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.266 * [taylor]: Taking taylor expansion of (log N) in N 0.266 * [taylor]: Taking taylor expansion of N in N 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (log 1) into 0 0.267 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.267 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.267 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in N 0.267 * [backup-simplify]: Simplify 1.0 into 1.0 0.268 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.268 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.268 * [taylor]: Taking taylor expansion of (log N) in N 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 (log 1) into 0 0.269 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.269 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.270 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.270 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.271 * [backup-simplify]: Simplify (+ 1 0) into 1 0.276 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.277 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.278 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.278 * [backup-simplify]: Simplify 1.0 into 1.0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [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)) 0.292 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.293 * [backup-simplify]: Simplify (- 0) into 0 0.295 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.298 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.301 * [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))) 0.302 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.302 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.302 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.302 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.302 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.302 * [taylor]: Taking taylor expansion of N in N 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of 1.0 in N 0.303 * [backup-simplify]: Simplify 1.0 into 1.0 0.303 * [backup-simplify]: Simplify (+ 1 0) into 1 0.303 * [backup-simplify]: Simplify (log 1) into 0 0.303 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.304 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.304 * [taylor]: Taking taylor expansion of N in N 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [backup-simplify]: Simplify (log 1) into 0 0.304 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.304 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.304 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.305 * [taylor]: Taking taylor expansion of N in N 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (/ 1 1) into 1 0.305 * [taylor]: Taking taylor expansion of 1.0 in N 0.305 * [backup-simplify]: Simplify 1.0 into 1.0 0.305 * [backup-simplify]: Simplify (+ 1 0) into 1 0.306 * [backup-simplify]: Simplify (log 1) into 0 0.306 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.306 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.306 * [taylor]: Taking taylor expansion of N in N 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (/ 1 1) into 1 0.307 * [backup-simplify]: Simplify (log 1) into 0 0.307 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.308 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.308 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.308 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.319 * [backup-simplify]: Simplify 1.0 into 1.0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [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 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.338 * [backup-simplify]: Simplify (- 0) into 0 0.338 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.339 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [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 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [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 0.367 * [backup-simplify]: Simplify (- 0) into 0 0.368 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.368 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.369 * [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)))) 0.369 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.369 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.369 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.369 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.369 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.369 * [taylor]: Taking taylor expansion of 1.0 in N 0.370 * [backup-simplify]: Simplify 1.0 into 1.0 0.370 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.370 * [taylor]: Taking taylor expansion of N in N 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [backup-simplify]: Simplify (- 1) into -1 0.371 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.371 * [backup-simplify]: Simplify (log -1) into (log -1) 0.371 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.371 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.371 * [taylor]: Taking taylor expansion of -1 in N 0.371 * [backup-simplify]: Simplify -1 into -1 0.371 * [taylor]: Taking taylor expansion of N in N 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (/ -1 1) into -1 0.372 * [backup-simplify]: Simplify (log -1) into (log -1) 0.372 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.372 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.372 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.372 * [taylor]: Taking taylor expansion of 1.0 in N 0.372 * [backup-simplify]: Simplify 1.0 into 1.0 0.372 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.372 * [taylor]: Taking taylor expansion of N in N 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.373 * [backup-simplify]: Simplify (- 1) into -1 0.373 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.374 * [backup-simplify]: Simplify (log -1) into (log -1) 0.374 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.374 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.374 * [taylor]: Taking taylor expansion of -1 in N 0.374 * [backup-simplify]: Simplify -1 into -1 0.374 * [taylor]: Taking taylor expansion of N in N 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (/ -1 1) into -1 0.374 * [backup-simplify]: Simplify (log -1) into (log -1) 0.376 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.376 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.377 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.377 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (- 0) into 0 0.379 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.387 * [backup-simplify]: Simplify (- 0) into 0 0.388 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.388 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (- 0) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [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 0.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.405 * [backup-simplify]: Simplify (- 0) into 0 0.406 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.406 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (- 0) into 0 0.412 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [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 0.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.442 * [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 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.444 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.444 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.447 * [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)))) 0.448 * * * [progress]: simplifying candidates 0.450 * [simplify]: Simplifying: (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))) (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)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.454 * * [simplify]: Extracting # 0 : cost 0 0.454 * * [simplify]: Extracting # 1 : cost 0 0.454 * * [simplify]: Extracting # 2 : cost 0 0.455 * * [simplify]: Extracting # 3 : cost 0 0.455 * * [simplify]: Extracting # 4 : cost 0 0.455 * * [simplify]: Extracting # 5 : cost 0 0.456 * * [simplify]: Extracting # 6 : cost 0 0.456 * * [simplify]: Extracting # 7 : cost 0 0.456 * * [simplify]: Extracting # 8 : cost 0 0.457 * * [simplify]: Extracting # 9 : cost 0 0.457 * * [simplify]: iteration 0 : 127 enodes (cost 1052 ) 0.513 * * [simplify]: Extracting # 0 : cost 0 0.514 * * [simplify]: Extracting # 1 : cost 0 0.514 * * [simplify]: Extracting # 2 : cost 0 0.515 * * [simplify]: Extracting # 3 : cost 0 0.515 * * [simplify]: Extracting # 4 : cost 0 0.516 * * [simplify]: iteration 1 : 288 enodes (cost 863 ) 0.769 * * [simplify]: Extracting # 0 : cost 0 0.771 * * [simplify]: Extracting # 1 : cost 0 0.774 * * [simplify]: Extracting # 2 : cost 0 0.776 * * [simplify]: Extracting # 3 : cost 0 0.778 * * [simplify]: iteration 2 : 1086 enodes (cost 705 ) 2.104 * * [simplify]: Extracting # 0 : cost 0 2.131 * * [simplify]: Extracting # 1 : cost 0 2.142 * * [simplify]: Extracting # 2 : cost 0 2.153 * * [simplify]: Extracting # 3 : cost 0 2.164 * * [simplify]: Extracting # 4 : cost 0 2.177 * * [simplify]: iteration done: 5001 enodes (cost 614 ) 2.178 * [simplify]: Simplified to: (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))) (- (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 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (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) (log (+ N 1.0))))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (fma N N (* 1.0 (- 1.0 N)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (fma -1/2 (/ (pow N 2) (pow 1.0 2)) (fma 1.0 N (log 1.0))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (+ (- (log -1) (+ (log (/ -1 N)) (/ 0.5 (* N N)))) (/ 1.0 N)) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) 2.179 * * * [progress]: adding candidates to table 2.568 * * [progress]: iteration 2 / 4 2.568 * * * [progress]: picking best candidate 2.582 * * * * [pick]: Picked # 2.582 * * * [progress]: localizing error 2.620 * * * [progress]: generating rewritten candidates 2.620 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.862 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 2.880 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.905 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.024 * * * [progress]: generating series expansions 3.024 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.025 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.025 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 3.025 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 3.025 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 3.025 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.025 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.025 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.025 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.025 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.025 * [taylor]: Taking taylor expansion of N in N 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 1 into 1 3.026 * [backup-simplify]: Simplify (* 1 1) into 1 3.027 * [backup-simplify]: Simplify (* 1 1) into 1 3.027 * [backup-simplify]: Simplify (/ 1 1) into 1 3.027 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.027 * [taylor]: Taking taylor expansion of 1.0 in N 3.027 * [backup-simplify]: Simplify 1.0 into 1.0 3.027 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.027 * [taylor]: Taking taylor expansion of N in N 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify 1 into 1 3.028 * [backup-simplify]: Simplify (/ 1 1) into 1 3.028 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.028 * [taylor]: Taking taylor expansion of 0.5 in N 3.028 * [backup-simplify]: Simplify 0.5 into 0.5 3.028 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.028 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.028 * [taylor]: Taking taylor expansion of N in N 3.028 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify 1 into 1 3.028 * [backup-simplify]: Simplify (* 1 1) into 1 3.029 * [backup-simplify]: Simplify (/ 1 1) into 1 3.029 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 3.029 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 3.029 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.029 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.029 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.029 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.029 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.029 * [taylor]: Taking taylor expansion of N in N 3.029 * [backup-simplify]: Simplify 0 into 0 3.029 * [backup-simplify]: Simplify 1 into 1 3.029 * [backup-simplify]: Simplify (* 1 1) into 1 3.030 * [backup-simplify]: Simplify (* 1 1) into 1 3.030 * [backup-simplify]: Simplify (/ 1 1) into 1 3.030 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.030 * [taylor]: Taking taylor expansion of 1.0 in N 3.030 * [backup-simplify]: Simplify 1.0 into 1.0 3.030 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.030 * [taylor]: Taking taylor expansion of N in N 3.030 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 1 into 1 3.031 * [backup-simplify]: Simplify (/ 1 1) into 1 3.032 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.032 * [taylor]: Taking taylor expansion of 0.5 in N 3.032 * [backup-simplify]: Simplify 0.5 into 0.5 3.032 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.032 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.032 * [taylor]: Taking taylor expansion of N in N 3.032 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify 1 into 1 3.033 * [backup-simplify]: Simplify (* 1 1) into 1 3.033 * [backup-simplify]: Simplify (/ 1 1) into 1 3.035 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.036 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.037 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.037 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.041 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.042 * [backup-simplify]: Simplify (+ 0 0) into 0 3.042 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.043 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.044 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.044 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.060 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.061 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.061 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.064 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.064 * [backup-simplify]: Simplify (- 0) into 0 3.064 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.064 * [backup-simplify]: Simplify 1.0 into 1.0 3.065 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 3.066 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 N) 3)) (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N))))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 3.066 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 3.066 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 3.066 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.066 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.066 * [taylor]: Taking taylor expansion of 1.0 in N 3.066 * [backup-simplify]: Simplify 1.0 into 1.0 3.066 * [taylor]: Taking taylor expansion of N in N 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 1 into 1 3.066 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.066 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.066 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.066 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.067 * [taylor]: Taking taylor expansion of N in N 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify 1 into 1 3.067 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.067 * [taylor]: Taking taylor expansion of 0.5 in N 3.067 * [backup-simplify]: Simplify 0.5 into 0.5 3.067 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.067 * [taylor]: Taking taylor expansion of N in N 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify 1 into 1 3.067 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 3.067 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.067 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.067 * [taylor]: Taking taylor expansion of 1.0 in N 3.067 * [backup-simplify]: Simplify 1.0 into 1.0 3.067 * [taylor]: Taking taylor expansion of N in N 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify 1 into 1 3.067 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.067 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.067 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.067 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.067 * [taylor]: Taking taylor expansion of N in N 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify 1 into 1 3.067 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.067 * [taylor]: Taking taylor expansion of 0.5 in N 3.067 * [backup-simplify]: Simplify 0.5 into 0.5 3.067 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.067 * [taylor]: Taking taylor expansion of N in N 3.068 * [backup-simplify]: Simplify 0 into 0 3.068 * [backup-simplify]: Simplify 1 into 1 3.069 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.069 * [backup-simplify]: Simplify (+ 0 0) into 0 3.069 * [backup-simplify]: Simplify (+ 0 0) into 0 3.069 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.071 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.072 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.072 * [backup-simplify]: Simplify 1.0 into 1.0 3.073 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.073 * [backup-simplify]: Simplify (+ 0 0) into 0 3.073 * [backup-simplify]: Simplify (* 1 1) into 1 3.074 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.074 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.075 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.075 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.077 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.077 * [backup-simplify]: Simplify (* 1 1) into 1 3.077 * [backup-simplify]: Simplify (* 1 1) into 1 3.078 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.078 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.080 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.080 * [backup-simplify]: Simplify (- 0) into 0 3.080 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.080 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.081 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.082 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 3.082 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 3.082 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 3.082 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.082 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.082 * [taylor]: Taking taylor expansion of 0.5 in N 3.082 * [backup-simplify]: Simplify 0.5 into 0.5 3.082 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.082 * [taylor]: Taking taylor expansion of N in N 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify 1 into 1 3.082 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.083 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.083 * [taylor]: Taking taylor expansion of 1.0 in N 3.083 * [backup-simplify]: Simplify 1.0 into 1.0 3.083 * [taylor]: Taking taylor expansion of N in N 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 1 into 1 3.083 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.083 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.083 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.083 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.083 * [taylor]: Taking taylor expansion of N in N 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 1 into 1 3.083 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 3.083 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.083 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.083 * [taylor]: Taking taylor expansion of 0.5 in N 3.083 * [backup-simplify]: Simplify 0.5 into 0.5 3.083 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.083 * [taylor]: Taking taylor expansion of N in N 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 1 into 1 3.083 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.083 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.083 * [taylor]: Taking taylor expansion of 1.0 in N 3.083 * [backup-simplify]: Simplify 1.0 into 1.0 3.083 * [taylor]: Taking taylor expansion of N in N 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 1 into 1 3.083 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.084 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.084 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.084 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.084 * [taylor]: Taking taylor expansion of N in N 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 1 into 1 3.084 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.085 * [backup-simplify]: Simplify (+ 0 0) into 0 3.085 * [backup-simplify]: Simplify (+ 0 0) into 0 3.085 * [backup-simplify]: Simplify (- 0) into 0 3.085 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.087 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.088 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.088 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.088 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.089 * [backup-simplify]: Simplify (* 1 1) into 1 3.089 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.090 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.090 * [backup-simplify]: Simplify (+ 0 0) into 0 3.091 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.091 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.091 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.093 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.094 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.094 * [backup-simplify]: Simplify (* 1 1) into 1 3.095 * [backup-simplify]: Simplify (* 1 1) into 1 3.095 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.095 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.096 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.096 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.097 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.098 * [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)))) 3.098 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 3.099 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 3.099 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 3.099 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 3.099 * [taylor]: Taking taylor expansion of 0.5 in N 3.099 * [backup-simplify]: Simplify 0.5 into 0.5 3.099 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.099 * [taylor]: Taking taylor expansion of N in N 3.099 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify 1 into 1 3.099 * [backup-simplify]: Simplify (* 1 1) into 1 3.100 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 3.100 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 3.100 * [taylor]: Taking taylor expansion of 0.5 in N 3.100 * [backup-simplify]: Simplify 0.5 into 0.5 3.100 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.100 * [taylor]: Taking taylor expansion of N in N 3.100 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify 1 into 1 3.100 * [backup-simplify]: Simplify (* 1 1) into 1 3.101 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 3.101 * [backup-simplify]: Simplify 0.5 into 0.5 3.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 3.102 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.104 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.106 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.108 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.111 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 3.114 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 3.114 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 3.114 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.114 * [taylor]: Taking taylor expansion of 0.5 in N 3.114 * [backup-simplify]: Simplify 0.5 into 0.5 3.114 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.114 * [taylor]: Taking taylor expansion of N in N 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify 1 into 1 3.114 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.114 * [taylor]: Taking taylor expansion of 0.5 in N 3.114 * [backup-simplify]: Simplify 0.5 into 0.5 3.114 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.114 * [taylor]: Taking taylor expansion of N in N 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify 1 into 1 3.115 * [backup-simplify]: Simplify (* 1 1) into 1 3.115 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.115 * [backup-simplify]: Simplify 0.5 into 0.5 3.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.116 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.116 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.118 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.118 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.121 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.121 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.124 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.124 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.127 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.127 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.131 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.131 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 3.131 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 3.132 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 3.132 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.132 * [taylor]: Taking taylor expansion of 0.5 in N 3.132 * [backup-simplify]: Simplify 0.5 into 0.5 3.132 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.132 * [taylor]: Taking taylor expansion of N in N 3.132 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify 1 into 1 3.132 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.132 * [taylor]: Taking taylor expansion of 0.5 in N 3.132 * [backup-simplify]: Simplify 0.5 into 0.5 3.132 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.132 * [taylor]: Taking taylor expansion of N in N 3.132 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify 1 into 1 3.133 * [backup-simplify]: Simplify (* 1 1) into 1 3.133 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.133 * [backup-simplify]: Simplify 0.5 into 0.5 3.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.135 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.137 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.137 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.139 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.139 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.142 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.142 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.146 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.146 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.149 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.149 * [backup-simplify]: Simplify 0 into 0 3.150 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 3.150 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.150 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 3.150 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 3.150 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.150 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.150 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.150 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.150 * [taylor]: Taking taylor expansion of N in N 3.150 * [backup-simplify]: Simplify 0 into 0 3.150 * [backup-simplify]: Simplify 1 into 1 3.151 * [backup-simplify]: Simplify (* 1 1) into 1 3.151 * [backup-simplify]: Simplify (* 1 1) into 1 3.152 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.152 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.152 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.152 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.152 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.152 * [taylor]: Taking taylor expansion of N in N 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify 1 into 1 3.152 * [backup-simplify]: Simplify (* 1 1) into 1 3.153 * [backup-simplify]: Simplify (* 1 1) into 1 3.153 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.153 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 3.155 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.159 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.162 * [backup-simplify]: Simplify 0 into 0 3.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.168 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.173 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.178 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 3.179 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 3.179 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.179 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.179 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.179 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.179 * [taylor]: Taking taylor expansion of N in N 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 1 into 1 3.179 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.179 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.179 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.179 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.179 * [taylor]: Taking taylor expansion of N in N 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 1 into 1 3.180 * [backup-simplify]: Simplify (* 1 1) into 1 3.180 * [backup-simplify]: Simplify (* 1 1) into 1 3.181 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.181 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.183 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.183 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.186 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.186 * [backup-simplify]: Simplify 0 into 0 3.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.190 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.190 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.194 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.194 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.199 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.199 * [backup-simplify]: Simplify 0 into 0 3.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.204 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.204 * [backup-simplify]: Simplify 0 into 0 3.204 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.205 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 3.205 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 3.205 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.205 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.205 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.205 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.205 * [taylor]: Taking taylor expansion of N in N 3.205 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify 1 into 1 3.205 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.205 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.205 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.205 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.205 * [taylor]: Taking taylor expansion of N in N 3.205 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify 1 into 1 3.206 * [backup-simplify]: Simplify (* 1 1) into 1 3.207 * [backup-simplify]: Simplify (* 1 1) into 1 3.207 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 3.207 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.210 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 3.210 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.214 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.214 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.217 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.217 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.230 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.230 * [backup-simplify]: Simplify 0 into 0 3.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.235 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.235 * [backup-simplify]: Simplify 0 into 0 3.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.240 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.240 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.241 * [backup-simplify]: Simplify (- (/ 1.0 N) (/ 0.5 (* N N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.241 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 3.241 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 3.241 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.241 * [taylor]: Taking taylor expansion of 1.0 in N 3.241 * [backup-simplify]: Simplify 1.0 into 1.0 3.241 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.241 * [taylor]: Taking taylor expansion of N in N 3.241 * [backup-simplify]: Simplify 0 into 0 3.241 * [backup-simplify]: Simplify 1 into 1 3.242 * [backup-simplify]: Simplify (/ 1 1) into 1 3.242 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.242 * [taylor]: Taking taylor expansion of 0.5 in N 3.242 * [backup-simplify]: Simplify 0.5 into 0.5 3.242 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.242 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.242 * [taylor]: Taking taylor expansion of N in N 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 1 into 1 3.242 * [backup-simplify]: Simplify (* 1 1) into 1 3.243 * [backup-simplify]: Simplify (/ 1 1) into 1 3.243 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 3.243 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.243 * [taylor]: Taking taylor expansion of 1.0 in N 3.243 * [backup-simplify]: Simplify 1.0 into 1.0 3.243 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.243 * [taylor]: Taking taylor expansion of N in N 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify 1 into 1 3.243 * [backup-simplify]: Simplify (/ 1 1) into 1 3.243 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.243 * [taylor]: Taking taylor expansion of 0.5 in N 3.243 * [backup-simplify]: Simplify 0.5 into 0.5 3.243 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.244 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.244 * [taylor]: Taking taylor expansion of N in N 3.244 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify 1 into 1 3.244 * [backup-simplify]: Simplify (* 1 1) into 1 3.244 * [backup-simplify]: Simplify (/ 1 1) into 1 3.245 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.245 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.246 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.247 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.247 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.249 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.250 * [backup-simplify]: Simplify (- 0) into 0 3.250 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.250 * [backup-simplify]: Simplify 1.0 into 1.0 3.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.252 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 3.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.255 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.255 * [backup-simplify]: Simplify (- 0) into 0 3.255 * [backup-simplify]: Simplify (+ 0 0) into 0 3.255 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.257 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 3.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.260 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.261 * [backup-simplify]: Simplify (- 0) into 0 3.261 * [backup-simplify]: Simplify (+ 0 0) into 0 3.261 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.263 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.267 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.268 * [backup-simplify]: Simplify (- 0) into 0 3.268 * [backup-simplify]: Simplify (+ 0 0) into 0 3.268 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.270 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.274 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.275 * [backup-simplify]: Simplify (- 0) into 0 3.275 * [backup-simplify]: Simplify (+ 0 0) into 0 3.275 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.278 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.282 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.283 * [backup-simplify]: Simplify (- 0) into 0 3.283 * [backup-simplify]: Simplify (+ 0 0) into 0 3.283 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.286 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.291 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.291 * [backup-simplify]: Simplify (- 0) into 0 3.292 * [backup-simplify]: Simplify (+ 0 0) into 0 3.292 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (* (- 0.5) (pow (/ 1 N) 2))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.293 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N)))) into (- (* 1.0 N) (* 0.5 (pow N 2))) 3.293 * [approximate]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in (N) around 0 3.293 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 3.293 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.293 * [taylor]: Taking taylor expansion of 1.0 in N 3.293 * [backup-simplify]: Simplify 1.0 into 1.0 3.293 * [taylor]: Taking taylor expansion of N in N 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify 1 into 1 3.293 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.293 * [taylor]: Taking taylor expansion of 0.5 in N 3.293 * [backup-simplify]: Simplify 0.5 into 0.5 3.293 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.293 * [taylor]: Taking taylor expansion of N in N 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify 1 into 1 3.294 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 3.294 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.294 * [taylor]: Taking taylor expansion of 1.0 in N 3.294 * [backup-simplify]: Simplify 1.0 into 1.0 3.294 * [taylor]: Taking taylor expansion of N in N 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 1 into 1 3.294 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.294 * [taylor]: Taking taylor expansion of 0.5 in N 3.294 * [backup-simplify]: Simplify 0.5 into 0.5 3.294 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.294 * [taylor]: Taking taylor expansion of N in N 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 1 into 1 3.295 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.295 * [backup-simplify]: Simplify (+ 0 0) into 0 3.295 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.297 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.297 * [backup-simplify]: Simplify 1.0 into 1.0 3.298 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.299 * [backup-simplify]: Simplify (* 1 1) into 1 3.299 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.300 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.301 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.301 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.302 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.304 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.305 * [backup-simplify]: Simplify (- 0) into 0 3.305 * [backup-simplify]: Simplify (+ 0 0) into 0 3.305 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.309 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.310 * [backup-simplify]: Simplify (- 0) into 0 3.310 * [backup-simplify]: Simplify (+ 0 0) into 0 3.310 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.315 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.315 * [backup-simplify]: Simplify (- 0) into 0 3.316 * [backup-simplify]: Simplify (+ 0 0) into 0 3.316 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.320 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.321 * [backup-simplify]: Simplify (- 0) into 0 3.321 * [backup-simplify]: Simplify (+ 0 0) into 0 3.321 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.327 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.328 * [backup-simplify]: Simplify (- 0) into 0 3.328 * [backup-simplify]: Simplify (+ 0 0) into 0 3.328 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 3.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.335 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.336 * [backup-simplify]: Simplify (- 0) into 0 3.336 * [backup-simplify]: Simplify (+ 0 0) into 0 3.336 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.338 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) 3.338 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) in (N) around 0 3.338 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 3.338 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 3.338 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.338 * [taylor]: Taking taylor expansion of 0.5 in N 3.338 * [backup-simplify]: Simplify 0.5 into 0.5 3.338 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.338 * [taylor]: Taking taylor expansion of N in N 3.338 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify 1 into 1 3.338 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.338 * [taylor]: Taking taylor expansion of 1.0 in N 3.338 * [backup-simplify]: Simplify 1.0 into 1.0 3.338 * [taylor]: Taking taylor expansion of N in N 3.338 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify 1 into 1 3.338 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 3.338 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 3.338 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.338 * [taylor]: Taking taylor expansion of 0.5 in N 3.339 * [backup-simplify]: Simplify 0.5 into 0.5 3.339 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.339 * [taylor]: Taking taylor expansion of N in N 3.339 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify 1 into 1 3.339 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.339 * [taylor]: Taking taylor expansion of 1.0 in N 3.339 * [backup-simplify]: Simplify 1.0 into 1.0 3.339 * [taylor]: Taking taylor expansion of N in N 3.339 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify 1 into 1 3.340 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.340 * [backup-simplify]: Simplify (+ 0 0) into 0 3.341 * [backup-simplify]: Simplify (- 0) into 0 3.341 * [backup-simplify]: Simplify 0 into 0 3.343 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.343 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.344 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.344 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.345 * [backup-simplify]: Simplify (* 1 1) into 1 3.346 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.347 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.347 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.348 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.348 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.350 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.351 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.352 * [backup-simplify]: Simplify (+ 0 0) into 0 3.352 * [backup-simplify]: Simplify (- 0) into 0 3.352 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.355 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.356 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.357 * [backup-simplify]: Simplify (+ 0 0) into 0 3.357 * [backup-simplify]: Simplify (- 0) into 0 3.357 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.360 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.362 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.362 * [backup-simplify]: Simplify (+ 0 0) into 0 3.363 * [backup-simplify]: Simplify (- 0) into 0 3.363 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.366 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.369 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.369 * [backup-simplify]: Simplify (+ 0 0) into 0 3.370 * [backup-simplify]: Simplify (- 0) into 0 3.370 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.373 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.375 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.376 * [backup-simplify]: Simplify (+ 0 0) into 0 3.377 * [backup-simplify]: Simplify (- 0) into 0 3.377 * [backup-simplify]: Simplify 0 into 0 3.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.382 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.385 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 3.385 * [backup-simplify]: Simplify (+ 0 0) into 0 3.386 * [backup-simplify]: Simplify (- 0) into 0 3.386 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N)))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.387 * * * [progress]: simplifying candidates 3.411 * [simplify]: Simplifying: (expm1 (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (log1p (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (exp (/ 0.3333333333333333 (pow N 3))) (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N))))) (* (exp (/ 0.3333333333333333 (pow N 3))) (exp (- (/ 1.0 N) (/ 0.5 (* N N))))) (log (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (* (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (+ (* 0.3333333333333333 (* N (* N N))) (* (pow N 3) (- (* 1.0 (* N N)) (* N 0.5)))) (* (pow N 3) (* N (* N N))) (+ (* 0.3333333333333333 (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N)))))) (* (pow N 3) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (* (pow N 3) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N)))))) (+ (* 0.3333333333333333 (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (pow N 3) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))))) (* (pow N 3) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3)) (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 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1.0 N)) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.434 * * [simplify]: Extracting # 0 : cost 0 3.436 * * [simplify]: Extracting # 1 : cost 0 3.438 * * [simplify]: Extracting # 2 : cost 0 3.440 * * [simplify]: Extracting # 3 : cost 0 3.441 * * [simplify]: Extracting # 4 : cost 0 3.444 * * [simplify]: Extracting # 5 : cost 0 3.445 * * [simplify]: Extracting # 6 : cost 0 3.447 * * [simplify]: iteration 0 : 444 enodes (cost 8644 ) 3.683 * * [simplify]: Extracting # 0 : cost 0 3.687 * * [simplify]: Extracting # 1 : cost 0 3.691 * * [simplify]: Extracting # 2 : cost 0 3.703 * * [simplify]: Extracting # 3 : cost 0 3.706 * * [simplify]: Extracting # 4 : cost 0 3.710 * * [simplify]: iteration 1 : 1061 enodes (cost 7221 ) 4.426 * * [simplify]: Extracting # 0 : cost 0 4.444 * * [simplify]: Extracting # 1 : cost 0 4.458 * * [simplify]: Extracting # 2 : cost 0 4.473 * * [simplify]: Extracting # 3 : cost 0 4.488 * * [simplify]: Extracting # 4 : cost 0 4.503 * * [simplify]: iteration done: 5001 enodes (cost 6378 ) 4.509 * [simplify]: Simplified to: (expm1 (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (log1p (+ (/ 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(cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))) (* (/ (* (cbrt 0.5) (cbrt 0.5)) N) (+ (- (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N))) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))) (* (/ (sqrt 0.5) N) (+ (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N))) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (- (/ (/ 0.5 N) N))) (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (/ (- 0.5) (* N N))) (* (/ 0.5 (* N N)) (+ -1 1)) (fma (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) (/ (sqrt 1.0) (cbrt N)) (/ (- 0.5) (* N N))) (fma (/ -1 (pow N 2)) 0.5 (/ (/ 0.5 N) N)) (fma (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (- (/ (/ 0.5 N) N))) (* (/ 0.5 (* N N)) (+ -1 1)) (fma (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (- (/ (/ 0.5 N) N))) (* (/ 0.5 (* N N)) (+ -1 1)) (fma (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))) (* (/ (* (cbrt 0.5) (cbrt 0.5)) N) (+ (- (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N))) (fma (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))) (* (/ (sqrt 0.5) N) (+ (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N))) (fma (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (- (/ (/ 0.5 N) N))) (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (fma (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (- (/ (/ 0.5 N) N))) (* (/ 0.5 (* N N)) (+ -1 1)) (fma (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 1.0) (sqrt N)) (- (/ (/ 0.5 N) N))) (fma (/ -1 (pow N 2)) 0.5 (/ (/ 0.5 N) N)) (fma (sqrt 1.0) (/ (sqrt 1.0) N) (/ (- 0.5) (* N N))) (* (/ 0.5 (* N N)) (+ -1 1)) (fma (sqrt 1.0) (/ (sqrt 1.0) N) (/ (- 0.5) (* N N))) (* (/ 0.5 (* N N)) (+ -1 1)) (fma (sqrt 1.0) (/ (sqrt 1.0) N) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))) (* (/ (* (cbrt 0.5) (cbrt 0.5)) N) (+ (- (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N))) (fma (sqrt 1.0) (/ (sqrt 1.0) N) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))) (* (/ (sqrt 0.5) N) (+ (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N))) (fma (sqrt 1.0) (/ (sqrt 1.0) N) (- (/ (/ 0.5 N) N))) (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (fma (sqrt 1.0) (/ (sqrt 1.0) N) (/ (- 0.5) (* N N))) (* (/ 0.5 (* N N)) (+ -1 1)) (fma (sqrt 1.0) (/ (sqrt 1.0) N) (/ (- 0.5) (* N N))) (fma (/ -1 (pow N 2)) 0.5 (/ (/ 0.5 N) N)) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (/ (- 0.5) (* N N))) (* (/ 0.5 (* N N)) (+ -1 1)) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (/ (- 0.5) (* N N))) (* (/ 0.5 (* N N)) (+ -1 1)) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))) (* (/ (* (cbrt 0.5) (cbrt 0.5)) N) (+ (- (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N))) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))) (* (/ (sqrt 0.5) N) (+ (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N))) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (- (/ (/ 0.5 N) N))) (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (/ (- 0.5) (* N N))) (* (/ 0.5 (* N N)) (+ -1 1)) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 1.0 (cbrt N)) (/ (- 0.5) (* N N))) (fma (/ -1 (pow N 2)) 0.5 (/ (/ 0.5 N) N)) (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (/ (- 0.5) (* N N))) (* (/ 0.5 (* N N)) (+ -1 1)) (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (/ (- 0.5) (* N N))) (* (/ 0.5 (* N N)) (+ -1 1)) (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))) (* (/ (* (cbrt 0.5) (cbrt 0.5)) N) (+ (- (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N))) (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))) (* (/ (sqrt 0.5) N) (+ (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N))) (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (- (/ (/ 0.5 N) N))) (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (/ (- 0.5) (* N N))) (* (/ 0.5 (* N N)) (+ -1 1)) (fma (/ 1 (sqrt N)) (/ 1.0 (sqrt N)) (/ (- 0.5) (* N N))) (fma (/ -1 (pow N 2)) 0.5 (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (* (/ 0.5 (* N N)) (+ -1 1)) (- (/ 1.0 N) (/ 0.5 (* N N))) (* (/ 0.5 (* N N)) (+ -1 1)) (+ (/ 1.0 N) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))) (* (/ (* (cbrt 0.5) (cbrt 0.5)) N) (+ (- (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N))) (+ (/ 1.0 N) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))) (* (/ (sqrt 0.5) N) (+ (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N))) (+ (/ 1.0 N) (- (/ (/ 0.5 N) N))) (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (* (/ 0.5 (* N N)) (+ -1 1)) (- (/ 1.0 N) (/ 0.5 (* N N))) (fma (/ -1 (pow N 2)) 0.5 (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (* (/ 0.5 (* N N)) (+ -1 1)) (- (/ 1.0 N) (/ 0.5 (* N N))) (* (/ 0.5 (* N N)) (+ -1 1)) (+ (/ 1.0 N) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))) (* (/ (* (cbrt 0.5) (cbrt 0.5)) N) (+ (- (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N))) (+ (/ 1.0 N) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))) (* (/ (sqrt 0.5) N) (+ (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N))) (+ (/ 1.0 N) (- (/ (/ 0.5 N) N))) (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (* (/ 0.5 (* N N)) (+ -1 1)) (- (/ 1.0 N) (/ 0.5 (* N N))) (fma (/ -1 (pow N 2)) 0.5 (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (* (/ 0.5 (* N N)) (+ -1 1)) (- (/ 1.0 N) (/ 0.5 (* N N))) (* (/ 0.5 (* N N)) (+ -1 1)) (+ (/ 1.0 N) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))) (* (/ (* (cbrt 0.5) (cbrt 0.5)) N) (+ (- (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N))) (+ (/ 1.0 N) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))) (* (/ (sqrt 0.5) N) (+ (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N))) (+ (/ 1.0 N) (- (/ (/ 0.5 N) N))) (+ (- (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (* (/ 0.5 (* N N)) (+ -1 1)) (- (/ 1.0 N) (/ 0.5 (* N N))) (fma (/ -1 (pow N 2)) 0.5 (/ (/ 0.5 N) N)) (expm1 (- (/ 1.0 N) (/ 0.5 (* N N)))) (log1p (- (/ 1.0 N) (/ 0.5 (* N N)))) (/ (- 0.5) (* N N)) (/ (- 0.5) (* N N)) (/ (- 0.5) (* N N)) (/ (- 0.5) (* N N)) (/ (- 0.5) (* N N)) (/ (- 0.5) (* N N)) (/ (- 0.5) (* N N)) (/ (- 0.5) (* N N)) (/ (- 0.5) (* N N)) (/ (- 0.5) (* N N)) (/ (- 0.5) (* N N)) (/ (- 0.5) (* N N)) (/ (- 0.5) (* N N)) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (log (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (* N (- (* 1.0 N) 0.5)) (pow N 3) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (fma (/ 1.0 N) (/ 1.0 N) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))) (/ (- 0.5) (* N N)) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (/ 0.5 (* N N))) (+ (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (- 0.5) (* N N)) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) 4.515 * * * [progress]: adding candidates to table 6.924 * * [progress]: iteration 3 / 4 6.924 * * * [progress]: picking best candidate 6.936 * * * * [pick]: Picked # 6.936 * * * [progress]: localizing error 6.970 * * * [progress]: generating rewritten candidates 6.970 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 6.981 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 7.071 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 7.079 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 7.099 * * * [progress]: generating series expansions 7.099 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 7.099 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 7.099 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 7.099 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.099 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.099 * [taylor]: Taking taylor expansion of N in N 7.099 * [backup-simplify]: Simplify 0 into 0 7.099 * [backup-simplify]: Simplify 1 into 1 7.099 * [taylor]: Taking taylor expansion of 1.0 in N 7.099 * [backup-simplify]: Simplify 1.0 into 1.0 7.100 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.101 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.101 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.101 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.101 * [taylor]: Taking taylor expansion of N in N 7.101 * [backup-simplify]: Simplify 0 into 0 7.101 * [backup-simplify]: Simplify 1 into 1 7.101 * [taylor]: Taking taylor expansion of 1.0 in N 7.101 * [backup-simplify]: Simplify 1.0 into 1.0 7.101 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.102 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.102 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.103 * [backup-simplify]: Simplify (+ 1 0) into 1 7.107 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.108 * [backup-simplify]: Simplify 1.0 into 1.0 7.108 * [backup-simplify]: Simplify (+ 0 0) into 0 7.117 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 7.119 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 7.120 * [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)))) 7.120 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 7.121 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 7.121 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.121 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.121 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.121 * [taylor]: Taking taylor expansion of N in N 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 1 into 1 7.121 * [backup-simplify]: Simplify (/ 1 1) into 1 7.121 * [taylor]: Taking taylor expansion of 1.0 in N 7.121 * [backup-simplify]: Simplify 1.0 into 1.0 7.122 * [backup-simplify]: Simplify (+ 1 0) into 1 7.122 * [backup-simplify]: Simplify (log 1) into 0 7.122 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.122 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.122 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.122 * [taylor]: Taking taylor expansion of N in N 7.122 * [backup-simplify]: Simplify 0 into 0 7.122 * [backup-simplify]: Simplify 1 into 1 7.122 * [backup-simplify]: Simplify (/ 1 1) into 1 7.122 * [taylor]: Taking taylor expansion of 1.0 in N 7.122 * [backup-simplify]: Simplify 1.0 into 1.0 7.123 * [backup-simplify]: Simplify (+ 1 0) into 1 7.123 * [backup-simplify]: Simplify (log 1) into 0 7.124 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.124 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 7.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.125 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.131 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.131 * [backup-simplify]: Simplify 1.0 into 1.0 7.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.132 * [backup-simplify]: Simplify (+ 0 0) into 0 7.144 * [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 7.144 * [backup-simplify]: Simplify -0.5 into -0.5 7.144 * [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)))) 7.144 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 7.145 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 7.145 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.145 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.145 * [taylor]: Taking taylor expansion of 1.0 in N 7.145 * [backup-simplify]: Simplify 1.0 into 1.0 7.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.145 * [taylor]: Taking taylor expansion of N in N 7.145 * [backup-simplify]: Simplify 0 into 0 7.145 * [backup-simplify]: Simplify 1 into 1 7.146 * [backup-simplify]: Simplify (/ 1 1) into 1 7.146 * [backup-simplify]: Simplify (- 1) into -1 7.147 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.147 * [backup-simplify]: Simplify (log -1) into (log -1) 7.147 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.148 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.148 * [taylor]: Taking taylor expansion of 1.0 in N 7.148 * [backup-simplify]: Simplify 1.0 into 1.0 7.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.148 * [taylor]: Taking taylor expansion of N in N 7.148 * [backup-simplify]: Simplify 0 into 0 7.148 * [backup-simplify]: Simplify 1 into 1 7.148 * [backup-simplify]: Simplify (/ 1 1) into 1 7.149 * [backup-simplify]: Simplify (- 1) into -1 7.149 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.149 * [backup-simplify]: Simplify (log -1) into (log -1) 7.150 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.151 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 7.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.152 * [backup-simplify]: Simplify (- 0) into 0 7.152 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.160 * [backup-simplify]: Simplify -1.0 into -1.0 7.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.161 * [backup-simplify]: Simplify (- 0) into 0 7.162 * [backup-simplify]: Simplify (+ 0 0) into 0 7.173 * [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 7.173 * [backup-simplify]: Simplify -0.5 into -0.5 7.174 * [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)))) 7.174 * * * * [progress]: [ 2 / 4 ] generating series at (2) 7.175 * [backup-simplify]: Simplify (- (cbrt (pow (log (+ N 1.0)) 3)) (log N)) into (- (log (+ N 1.0)) (log N)) 7.175 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 7.175 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 7.175 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.175 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.175 * [taylor]: Taking taylor expansion of N in N 7.175 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify 1 into 1 7.175 * [taylor]: Taking taylor expansion of 1.0 in N 7.175 * [backup-simplify]: Simplify 1.0 into 1.0 7.176 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.176 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.176 * [taylor]: Taking taylor expansion of (log N) in N 7.176 * [taylor]: Taking taylor expansion of N in N 7.176 * [backup-simplify]: Simplify 0 into 0 7.176 * [backup-simplify]: Simplify 1 into 1 7.176 * [backup-simplify]: Simplify (log 1) into 0 7.177 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 7.177 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.177 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.177 * [taylor]: Taking taylor expansion of N in N 7.177 * [backup-simplify]: Simplify 0 into 0 7.177 * [backup-simplify]: Simplify 1 into 1 7.177 * [taylor]: Taking taylor expansion of 1.0 in N 7.177 * [backup-simplify]: Simplify 1.0 into 1.0 7.177 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.178 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.178 * [taylor]: Taking taylor expansion of (log N) in N 7.178 * [taylor]: Taking taylor expansion of N in N 7.178 * [backup-simplify]: Simplify 0 into 0 7.178 * [backup-simplify]: Simplify 1 into 1 7.178 * [backup-simplify]: Simplify (log 1) into 0 7.179 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.179 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 7.179 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 7.180 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 7.180 * [backup-simplify]: Simplify (+ 1 0) into 1 7.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.187 * [backup-simplify]: Simplify (- 0) into 0 7.188 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.188 * [backup-simplify]: Simplify 1.0 into 1.0 7.188 * [backup-simplify]: Simplify (+ 0 0) into 0 7.199 * [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)) 7.211 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.212 * [backup-simplify]: Simplify (- 0) into 0 7.214 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 7.217 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 7.220 * [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))) 7.221 * [backup-simplify]: Simplify (- (cbrt (pow (log (+ (/ 1 N) 1.0)) 3)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 7.221 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 7.221 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 7.221 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.221 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.221 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.221 * [taylor]: Taking taylor expansion of N in N 7.221 * [backup-simplify]: Simplify 0 into 0 7.221 * [backup-simplify]: Simplify 1 into 1 7.221 * [backup-simplify]: Simplify (/ 1 1) into 1 7.221 * [taylor]: Taking taylor expansion of 1.0 in N 7.221 * [backup-simplify]: Simplify 1.0 into 1.0 7.222 * [backup-simplify]: Simplify (+ 1 0) into 1 7.222 * [backup-simplify]: Simplify (log 1) into 0 7.222 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.222 * [taylor]: Taking taylor expansion of N in N 7.222 * [backup-simplify]: Simplify 0 into 0 7.222 * [backup-simplify]: Simplify 1 into 1 7.223 * [backup-simplify]: Simplify (/ 1 1) into 1 7.223 * [backup-simplify]: Simplify (log 1) into 0 7.223 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 7.223 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.223 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.223 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.223 * [taylor]: Taking taylor expansion of N in N 7.223 * [backup-simplify]: Simplify 0 into 0 7.223 * [backup-simplify]: Simplify 1 into 1 7.224 * [backup-simplify]: Simplify (/ 1 1) into 1 7.224 * [taylor]: Taking taylor expansion of 1.0 in N 7.224 * [backup-simplify]: Simplify 1.0 into 1.0 7.224 * [backup-simplify]: Simplify (+ 1 0) into 1 7.225 * [backup-simplify]: Simplify (log 1) into 0 7.225 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.225 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.225 * [taylor]: Taking taylor expansion of N in N 7.225 * [backup-simplify]: Simplify 0 into 0 7.225 * [backup-simplify]: Simplify 1 into 1 7.225 * [backup-simplify]: Simplify (/ 1 1) into 1 7.225 * [backup-simplify]: Simplify (log 1) into 0 7.226 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.226 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.227 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 7.227 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 7.227 * [backup-simplify]: Simplify 0 into 0 7.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.228 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.234 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.237 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.237 * [backup-simplify]: Simplify (- 0) into 0 7.237 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.238 * [backup-simplify]: Simplify 1.0 into 1.0 7.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.239 * [backup-simplify]: Simplify (+ 0 0) into 0 7.251 * [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 7.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.254 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.255 * [backup-simplify]: Simplify (- 0) into 0 7.255 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 7.256 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.257 * [backup-simplify]: Simplify (+ 0 0) into 0 7.276 * [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 7.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.283 * [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 7.283 * [backup-simplify]: Simplify (- 0) into 0 7.284 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.284 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.285 * [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)))) 7.285 * [backup-simplify]: Simplify (- (cbrt (pow (log (+ (/ 1 (- N)) 1.0)) 3)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 7.285 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 7.285 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 7.285 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.286 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.286 * [taylor]: Taking taylor expansion of 1.0 in N 7.286 * [backup-simplify]: Simplify 1.0 into 1.0 7.286 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.286 * [taylor]: Taking taylor expansion of N in N 7.286 * [backup-simplify]: Simplify 0 into 0 7.286 * [backup-simplify]: Simplify 1 into 1 7.286 * [backup-simplify]: Simplify (/ 1 1) into 1 7.287 * [backup-simplify]: Simplify (- 1) into -1 7.287 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.287 * [backup-simplify]: Simplify (log -1) into (log -1) 7.287 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 7.287 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.287 * [taylor]: Taking taylor expansion of -1 in N 7.288 * [backup-simplify]: Simplify -1 into -1 7.288 * [taylor]: Taking taylor expansion of N in N 7.288 * [backup-simplify]: Simplify 0 into 0 7.288 * [backup-simplify]: Simplify 1 into 1 7.288 * [backup-simplify]: Simplify (/ -1 1) into -1 7.288 * [backup-simplify]: Simplify (log -1) into (log -1) 7.288 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 7.289 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.289 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.289 * [taylor]: Taking taylor expansion of 1.0 in N 7.289 * [backup-simplify]: Simplify 1.0 into 1.0 7.289 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.289 * [taylor]: Taking taylor expansion of N in N 7.289 * [backup-simplify]: Simplify 0 into 0 7.289 * [backup-simplify]: Simplify 1 into 1 7.289 * [backup-simplify]: Simplify (/ 1 1) into 1 7.289 * [backup-simplify]: Simplify (- 1) into -1 7.290 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.290 * [backup-simplify]: Simplify (log -1) into (log -1) 7.290 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 7.290 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.290 * [taylor]: Taking taylor expansion of -1 in N 7.290 * [backup-simplify]: Simplify -1 into -1 7.290 * [taylor]: Taking taylor expansion of N in N 7.290 * [backup-simplify]: Simplify 0 into 0 7.291 * [backup-simplify]: Simplify 1 into 1 7.291 * [backup-simplify]: Simplify (/ -1 1) into -1 7.291 * [backup-simplify]: Simplify (log -1) into (log -1) 7.292 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.293 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.294 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 7.294 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 7.294 * [backup-simplify]: Simplify 0 into 0 7.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.296 * [backup-simplify]: Simplify (- 0) into 0 7.296 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.303 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.306 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 7.306 * [backup-simplify]: Simplify (- 0) into 0 7.307 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 7.308 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.310 * [backup-simplify]: Simplify (- 0) into 0 7.310 * [backup-simplify]: Simplify (+ 0 0) into 0 7.326 * [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 7.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.331 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 7.331 * [backup-simplify]: Simplify (- 0) into 0 7.331 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 7.332 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.333 * [backup-simplify]: Simplify (- 0) into 0 7.334 * [backup-simplify]: Simplify (+ 0 0) into 0 7.352 * [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 7.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.359 * [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 7.360 * [backup-simplify]: Simplify (- 0) into 0 7.360 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 7.360 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 7.362 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 7.362 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 7.362 * [backup-simplify]: Simplify (pow (log (+ N 1.0)) 3) into (pow (log (+ N 1.0)) 3) 7.362 * [approximate]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in (N) around 0 7.362 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 7.362 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.362 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.362 * [taylor]: Taking taylor expansion of N in N 7.362 * [backup-simplify]: Simplify 0 into 0 7.362 * [backup-simplify]: Simplify 1 into 1 7.362 * [taylor]: Taking taylor expansion of 1.0 in N 7.362 * [backup-simplify]: Simplify 1.0 into 1.0 7.363 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.363 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.363 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 7.363 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.363 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.363 * [taylor]: Taking taylor expansion of N in N 7.363 * [backup-simplify]: Simplify 0 into 0 7.363 * [backup-simplify]: Simplify 1 into 1 7.363 * [taylor]: Taking taylor expansion of 1.0 in N 7.363 * [backup-simplify]: Simplify 1.0 into 1.0 7.364 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.364 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.365 * [backup-simplify]: Simplify (* (log 1.0) (log 1.0)) into (pow (log 1.0) 2) 7.374 * [backup-simplify]: Simplify (* (log 1.0) (pow (log 1.0) 2)) into (pow (log 1.0) 3) 7.375 * [backup-simplify]: Simplify (pow (log 1.0) 3) into (pow (log 1.0) 3) 7.375 * [backup-simplify]: Simplify (+ 1 0) into 1 7.380 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.382 * [backup-simplify]: Simplify (+ (* (log 1.0) 1.0) (* 1.0 (log 1.0))) into (* 2.0 (log 1.0)) 7.386 * [backup-simplify]: Simplify (+ (* (log 1.0) (* 2.0 (log 1.0))) (* 1.0 (pow (log 1.0) 2))) into (* 3.0 (pow (log 1.0) 2)) 7.388 * [backup-simplify]: Simplify (* 3.0 (pow (log 1.0) 2)) into (* 3.0 (pow (log 1.0) 2)) 7.389 * [backup-simplify]: Simplify (+ 0 0) into 0 7.399 * [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)) 7.407 * [backup-simplify]: Simplify (+ (* (log 1.0) (/ -1/2 (pow 1.0 2))) (+ (* 1.0 1.0) (* (/ -1/2 (pow 1.0 2)) (log 1.0)))) into (- 1.0 (/ (log 1.0) (pow 1.0 2))) 7.420 * [backup-simplify]: Simplify (+ (* (log 1.0) (- 1.0 (/ (log 1.0) (pow 1.0 2)))) (+ (* 1.0 (* 2.0 (log 1.0))) (* (/ -1/2 (pow 1.0 2)) (pow (log 1.0) 2)))) into (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 7.425 * [backup-simplify]: Simplify (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) into (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 7.436 * [backup-simplify]: Simplify (+ (* (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) (pow N 2)) (+ (* (* 3.0 (pow (log 1.0) 2)) N) (pow (log 1.0) 3))) into (- (+ (* 3.0 (* (pow N 2) (log 1.0))) (+ (* 3.0 (* N (pow (log 1.0) 2))) (pow (log 1.0) 3))) (* 3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2)))) 7.436 * [backup-simplify]: Simplify (pow (log (+ (/ 1 N) 1.0)) 3) into (pow (log (+ (/ 1 N) 1.0)) 3) 7.436 * [approximate]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in (N) around 0 7.436 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 7.436 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.436 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.437 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.437 * [taylor]: Taking taylor expansion of N in N 7.437 * [backup-simplify]: Simplify 0 into 0 7.437 * [backup-simplify]: Simplify 1 into 1 7.437 * [backup-simplify]: Simplify (/ 1 1) into 1 7.438 * [taylor]: Taking taylor expansion of 1.0 in N 7.438 * [backup-simplify]: Simplify 1.0 into 1.0 7.438 * [backup-simplify]: Simplify (+ 1 0) into 1 7.439 * [backup-simplify]: Simplify (log 1) into 0 7.440 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.440 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 7.440 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.440 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.440 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.440 * [taylor]: Taking taylor expansion of N in N 7.440 * [backup-simplify]: Simplify 0 into 0 7.440 * [backup-simplify]: Simplify 1 into 1 7.440 * [backup-simplify]: Simplify (/ 1 1) into 1 7.440 * [taylor]: Taking taylor expansion of 1.0 in N 7.440 * [backup-simplify]: Simplify 1.0 into 1.0 7.441 * [backup-simplify]: Simplify (+ 1 0) into 1 7.441 * [backup-simplify]: Simplify (log 1) into 0 7.442 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.442 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.443 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.443 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.443 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 7.444 * [backup-simplify]: Simplify (* (- (log N)) (pow (log N) 2)) into (* -1 (pow (log N) 3)) 7.444 * [backup-simplify]: Simplify (* -1 (pow (log N) 3)) into (* -1 (pow (log N) 3)) 7.445 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.445 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.447 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.454 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.455 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.455 * [backup-simplify]: Simplify (+ (* (- (log N)) 1.0) (* 1.0 (- (log N)))) into (- (* 2.0 (log N))) 7.455 * [backup-simplify]: Simplify (+ (* (- (log N)) (- (* 2.0 (log N)))) (* 1.0 (pow (log N) 2))) into (* 3.0 (pow (log N) 2)) 7.456 * [backup-simplify]: Simplify (* 3.0 (pow (log N) 2)) into (* 3.0 (pow (log N) 2)) 7.456 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.457 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.458 * [backup-simplify]: Simplify (+ 0 0) into 0 7.469 * [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 7.470 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.471 * [backup-simplify]: Simplify (+ (* (- (log N)) -0.5) (+ (* 1.0 1.0) (* -0.5 (- (log N))))) into (+ 1.0 (* 1.0 (log N))) 7.471 * [backup-simplify]: Simplify (+ (* (- (log N)) (+ 1.0 (* 1.0 (log N)))) (+ (* 1.0 (- (* 2.0 (log N)))) (* -0.5 (pow (log N) 2)))) into (- (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N)))) 7.472 * [backup-simplify]: Simplify (- (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N)))) into (- (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N)))) 7.473 * [backup-simplify]: Simplify (+ (* (- (+ (* 1.5 (pow (log (/ 1 N)) 2)) (* 3.0 (log (/ 1 N))))) (pow (/ 1 N) 2)) (+ (* (* 3.0 (pow (log (/ 1 N)) 2)) (/ 1 N)) (* -1 (pow (log (/ 1 N)) 3)))) into (- (* 3.0 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1.5 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (pow (log (/ 1 N)) 3) (* 3.0 (/ (log (/ 1 N)) (pow N 2)))))) 7.473 * [backup-simplify]: Simplify (pow (log (+ (/ 1 (- N)) 1.0)) 3) into (pow (log (- 1.0 (/ 1 N))) 3) 7.473 * [approximate]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in (N) around 0 7.473 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 7.473 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.473 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.474 * [taylor]: Taking taylor expansion of 1.0 in N 7.474 * [backup-simplify]: Simplify 1.0 into 1.0 7.474 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.474 * [taylor]: Taking taylor expansion of N in N 7.474 * [backup-simplify]: Simplify 0 into 0 7.474 * [backup-simplify]: Simplify 1 into 1 7.474 * [backup-simplify]: Simplify (/ 1 1) into 1 7.475 * [backup-simplify]: Simplify (- 1) into -1 7.475 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.476 * [backup-simplify]: Simplify (log -1) into (log -1) 7.476 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.476 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 7.476 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.476 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.476 * [taylor]: Taking taylor expansion of 1.0 in N 7.477 * [backup-simplify]: Simplify 1.0 into 1.0 7.477 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.477 * [taylor]: Taking taylor expansion of N in N 7.477 * [backup-simplify]: Simplify 0 into 0 7.477 * [backup-simplify]: Simplify 1 into 1 7.477 * [backup-simplify]: Simplify (/ 1 1) into 1 7.477 * [backup-simplify]: Simplify (- 1) into -1 7.478 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.478 * [backup-simplify]: Simplify (log -1) into (log -1) 7.479 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.480 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.481 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.482 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.483 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 7.484 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (pow (- (log -1) (log N)) 2)) into (pow (- (log -1) (log N)) 3) 7.484 * [backup-simplify]: Simplify (pow (- (log -1) (log N)) 3) into (pow (- (log -1) (log N)) 3) 7.485 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.486 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.487 * [backup-simplify]: Simplify (- 0) into 0 7.488 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.494 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.495 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.496 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1.0) (* -1.0 (- (log -1) (log N)))) into (- (* 2.0 (log N)) (* 2.0 (log -1))) 7.498 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) (- (* 2.0 (log N)) (* 2.0 (log -1)))) (* -1.0 (pow (- (log -1) (log N)) 2))) into (- (* 6.0 (* (log -1) (log N))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 7.501 * [backup-simplify]: Simplify (- (* 6.0 (* (log -1) (log N))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) into (- (* 6.0 (* (log -1) (log N))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 7.502 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.503 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.504 * [backup-simplify]: Simplify (- 0) into 0 7.504 * [backup-simplify]: Simplify (+ 0 0) into 0 7.516 * [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 7.517 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.519 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -0.5) (+ (* -1.0 -1.0) (* -0.5 (- (log -1) (log N))))) into (- (+ 1.0 (* 1.0 (log N))) (* 1.0 (log -1))) 7.522 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) (- (+ 1.0 (* 1.0 (log N))) (* 1.0 (log -1)))) (+ (* -1.0 (- (* 2.0 (log N)) (* 2.0 (log -1)))) (* -0.5 (pow (- (log -1) (log N)) 2)))) into (- (+ (* 3.0 (log -1)) (* 3.0 (* (log -1) (log N)))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N))))) 7.533 * [backup-simplify]: Simplify (- (+ (* 3.0 (log -1)) (* 3.0 (* (log -1) (log N)))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N))))) into (- (+ (* 3.0 (log -1)) (* 3.0 (* (log -1) (log N)))) (+ (* 1.5 (pow (log N) 2)) (+ (* 3.0 (log N)) (* 1.5 (pow (log -1) 2))))) 7.542 * [backup-simplify]: Simplify (+ (* (- (+ (* 3.0 (log -1)) (* 3.0 (* (log -1) (log (/ 1 (- N)))))) (+ (* 1.5 (pow (log (/ 1 (- N))) 2)) (+ (* 3.0 (log (/ 1 (- N)))) (* 1.5 (pow (log -1) 2))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 6.0 (* (log -1) (log (/ 1 (- N))))) (+ (* 3.0 (pow (log (/ 1 (- N))) 2)) (* 3.0 (pow (log -1) 2)))) (/ 1 (- N))) (pow (- (log -1) (log (/ 1 (- N)))) 3))) into (- (+ (* 3.0 (/ (pow (log -1) 2) N)) (+ (* 3.0 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3.0 (/ (* (log -1) (log (/ -1 N))) (pow N 2))) (+ (* 3 (* (log -1) (pow (log (/ -1 N)) 2))) (+ (* 3.0 (/ (log -1) (pow N 2))) (pow (log -1) 3)))))) (+ (* 6.0 (/ (* (log -1) (log (/ -1 N))) N)) (+ (pow (log (/ -1 N)) 3) (+ (* 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2))) (+ (* 3 (* (pow (log -1) 2) (log (/ -1 N)))) (+ (* 3.0 (/ (log (/ -1 N)) (pow N 2))) (* 1.5 (/ (pow (log -1) 2) (pow N 2))))))))) 7.542 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 7.542 * [backup-simplify]: Simplify (cbrt (pow (log (+ N 1.0)) 3)) into (log (+ N 1.0)) 7.542 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 7.542 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.542 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.542 * [taylor]: Taking taylor expansion of N in N 7.542 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify 1 into 1 7.542 * [taylor]: Taking taylor expansion of 1.0 in N 7.542 * [backup-simplify]: Simplify 1.0 into 1.0 7.543 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.543 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.543 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.543 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.544 * [taylor]: Taking taylor expansion of N in N 7.544 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify 1 into 1 7.544 * [taylor]: Taking taylor expansion of 1.0 in N 7.544 * [backup-simplify]: Simplify 1.0 into 1.0 7.544 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.544 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.545 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.545 * [backup-simplify]: Simplify (+ 1 0) into 1 7.551 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.551 * [backup-simplify]: Simplify 1.0 into 1.0 7.551 * [backup-simplify]: Simplify (+ 0 0) into 0 7.562 * [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)) 7.563 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 7.565 * [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)))) 7.565 * [backup-simplify]: Simplify (cbrt (pow (log (+ (/ 1 N) 1.0)) 3)) into (log (+ (/ 1 N) 1.0)) 7.566 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 7.566 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.566 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.566 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.566 * [taylor]: Taking taylor expansion of N in N 7.566 * [backup-simplify]: Simplify 0 into 0 7.566 * [backup-simplify]: Simplify 1 into 1 7.566 * [backup-simplify]: Simplify (/ 1 1) into 1 7.566 * [taylor]: Taking taylor expansion of 1.0 in N 7.566 * [backup-simplify]: Simplify 1.0 into 1.0 7.567 * [backup-simplify]: Simplify (+ 1 0) into 1 7.567 * [backup-simplify]: Simplify (log 1) into 0 7.567 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.567 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.567 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.567 * [taylor]: Taking taylor expansion of N in N 7.567 * [backup-simplify]: Simplify 0 into 0 7.567 * [backup-simplify]: Simplify 1 into 1 7.567 * [backup-simplify]: Simplify (/ 1 1) into 1 7.567 * [taylor]: Taking taylor expansion of 1.0 in N 7.567 * [backup-simplify]: Simplify 1.0 into 1.0 7.568 * [backup-simplify]: Simplify (+ 1 0) into 1 7.568 * [backup-simplify]: Simplify (log 1) into 0 7.569 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.569 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 7.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.570 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.576 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.576 * [backup-simplify]: Simplify 1.0 into 1.0 7.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.577 * [backup-simplify]: Simplify (+ 0 0) into 0 7.588 * [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 7.588 * [backup-simplify]: Simplify -0.5 into -0.5 7.589 * [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)))) 7.589 * [backup-simplify]: Simplify (cbrt (pow (log (+ (/ 1 (- N)) 1.0)) 3)) into (log (- 1.0 (/ 1 N))) 7.589 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 7.589 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.589 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.589 * [taylor]: Taking taylor expansion of 1.0 in N 7.589 * [backup-simplify]: Simplify 1.0 into 1.0 7.589 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.589 * [taylor]: Taking taylor expansion of N in N 7.589 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify 1 into 1 7.590 * [backup-simplify]: Simplify (/ 1 1) into 1 7.590 * [backup-simplify]: Simplify (- 1) into -1 7.590 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.591 * [backup-simplify]: Simplify (log -1) into (log -1) 7.591 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.591 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.591 * [taylor]: Taking taylor expansion of 1.0 in N 7.591 * [backup-simplify]: Simplify 1.0 into 1.0 7.591 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.591 * [taylor]: Taking taylor expansion of N in N 7.591 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify 1 into 1 7.591 * [backup-simplify]: Simplify (/ 1 1) into 1 7.592 * [backup-simplify]: Simplify (- 1) into -1 7.592 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.592 * [backup-simplify]: Simplify (log -1) into (log -1) 7.593 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.594 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 7.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.595 * [backup-simplify]: Simplify (- 0) into 0 7.595 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.601 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.601 * [backup-simplify]: Simplify -1.0 into -1.0 7.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.602 * [backup-simplify]: Simplify (- 0) into 0 7.602 * [backup-simplify]: Simplify (+ 0 0) into 0 7.613 * [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 7.613 * [backup-simplify]: Simplify -0.5 into -0.5 7.614 * [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)))) 7.614 * * * 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Extracting # 13 : cost 0 7.643 * * [simplify]: iteration 0 : 260 enodes (cost 4129 ) 7.809 * * [simplify]: Extracting # 0 : cost 0 7.811 * * [simplify]: Extracting # 1 : cost 0 7.812 * * [simplify]: Extracting # 2 : cost 0 7.813 * * [simplify]: Extracting # 3 : cost 0 7.814 * * [simplify]: Extracting # 4 : cost 0 7.816 * * [simplify]: Extracting # 5 : cost 0 7.817 * * [simplify]: iteration 1 : 704 enodes (cost 2635 ) 8.577 * * [simplify]: Extracting # 0 : cost 0 8.584 * * [simplify]: Extracting # 1 : cost 0 8.597 * * [simplify]: Extracting # 2 : cost 0 8.605 * * [simplify]: Extracting # 3 : cost 0 8.613 * * [simplify]: Extracting # 4 : cost 0 8.620 * * [simplify]: iteration 2 : 3742 enodes (cost 2047 ) 11.322 * * [simplify]: Extracting # 0 : cost 0 11.341 * * [simplify]: Extracting # 1 : cost 0 11.352 * * [simplify]: Extracting # 2 : cost 0 11.367 * * [simplify]: iteration done: 5000 enodes (cost 2042 ) 11.369 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) 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(pow (log (+ N 1.0)) 2)) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (fma -1/2 (/ (pow N 2) (pow 1.0 2)) (fma 1.0 N (log 1.0))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (+ (/ 1.0 N) (- (log -1) (/ 0.5 (* N N)))) (log (/ -1 N))) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (fma -3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2)) (fma 3.0 (fma N (* N (log 1.0)) (* N (pow (log 1.0) 2))) (pow (log 1.0) 3))) (fma 3.0 (/ (pow (- (log N)) 2) N) (- (fma 1.5 (/ (pow (- (log N)) 2) (* N N)) (fma 3.0 (/ (- (log N)) (* N N)) (- (pow (log N) 3)))))) (fma 3.0 (/ (pow (log -1) 2) N) (- (fma 3.0 (+ (/ (pow (log (/ -1 N)) 2) N) (/ (* (log -1) (log (/ -1 N))) (pow N 2))) (fma 3 (* (log -1) (pow (log (/ -1 N)) 2)) (fma 3.0 (/ (log -1) (pow N 2)) (pow (log -1) 3)))) (fma 6.0 (/ (* (log -1) (log (/ -1 N))) N) (+ (pow (log (/ -1 N)) 3) (fma 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2)) (fma 3 (* (pow (log -1) 2) (log (/ -1 N))) (fma 3.0 (/ (log (/ -1 N)) (pow N 2)) (* 1.5 (/ (pow (log -1) 2) (pow N 2)))))))))) (fma -1/2 (/ (pow N 2) (pow 1.0 2)) (fma 1.0 N (log 1.0))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (+ (/ 1.0 N) (- (log -1) (/ 0.5 (* N N)))) (log (/ -1 N))) 11.372 * * * [progress]: adding candidates to table 12.107 * * [progress]: iteration 4 / 4 12.107 * * * [progress]: picking best candidate 12.112 * * * * [pick]: Picked # 12.112 * * * [progress]: localizing error 12.151 * * * [progress]: generating rewritten candidates 12.151 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 12.205 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 12.332 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 12.361 * * * [progress]: generating series expansions 12.361 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 12.362 * [backup-simplify]: Simplify (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)) into (/ (- (* 1.0 N) 0.5) (pow N 2)) 12.362 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 N) 0.5) (pow N 2)) in (N) around 0 12.362 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 N) 0.5) (pow N 2)) in N 12.362 * [taylor]: Taking taylor expansion of (- (* 1.0 N) 0.5) in N 12.362 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 12.362 * [taylor]: Taking taylor expansion of 1.0 in N 12.362 * [backup-simplify]: Simplify 1.0 into 1.0 12.362 * [taylor]: Taking taylor expansion of N in N 12.362 * [backup-simplify]: Simplify 0 into 0 12.362 * [backup-simplify]: Simplify 1 into 1 12.362 * [taylor]: Taking taylor expansion of 0.5 in N 12.362 * [backup-simplify]: Simplify 0.5 into 0.5 12.362 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.362 * [taylor]: Taking taylor expansion of N in N 12.362 * [backup-simplify]: Simplify 0 into 0 12.362 * [backup-simplify]: Simplify 1 into 1 12.363 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.364 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 12.365 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 12.365 * [backup-simplify]: Simplify (* 1 1) into 1 12.366 * [backup-simplify]: Simplify (/ (- 0.5) 1) into -0.5 12.366 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 N) 0.5) (pow N 2)) in N 12.366 * [taylor]: Taking taylor expansion of (- (* 1.0 N) 0.5) in N 12.366 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 12.366 * [taylor]: Taking taylor expansion of 1.0 in N 12.366 * [backup-simplify]: Simplify 1.0 into 1.0 12.366 * [taylor]: Taking taylor expansion of N in N 12.366 * [backup-simplify]: Simplify 0 into 0 12.366 * [backup-simplify]: Simplify 1 into 1 12.366 * [taylor]: Taking taylor expansion of 0.5 in N 12.366 * [backup-simplify]: Simplify 0.5 into 0.5 12.366 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.366 * [taylor]: Taking taylor expansion of N in N 12.366 * [backup-simplify]: Simplify 0 into 0 12.367 * [backup-simplify]: Simplify 1 into 1 12.367 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.367 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 12.368 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 12.369 * [backup-simplify]: Simplify (* 1 1) into 1 12.370 * [backup-simplify]: Simplify (/ (- 0.5) 1) into -0.5 12.370 * [backup-simplify]: Simplify -0.5 into -0.5 12.371 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 12.371 * [backup-simplify]: Simplify (- 0) into 0 12.372 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.375 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -0.5 (/ 0 1)))) into 1.0 12.375 * [backup-simplify]: Simplify 1.0 into 1.0 12.376 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.376 * [backup-simplify]: Simplify (- 0) into 0 12.377 * [backup-simplify]: Simplify (+ 0 0) into 0 12.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 12.385 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.387 * [backup-simplify]: Simplify (- 0) into 0 12.387 * [backup-simplify]: Simplify (+ 0 0) into 0 12.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.390 * [backup-simplify]: Simplify 0 into 0 12.391 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.391 * [backup-simplify]: Simplify (- 0) into 0 12.392 * [backup-simplify]: Simplify (+ 0 0) into 0 12.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.394 * [backup-simplify]: Simplify 0 into 0 12.396 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.396 * [backup-simplify]: Simplify (- 0) into 0 12.396 * [backup-simplify]: Simplify (+ 0 0) into 0 12.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.399 * [backup-simplify]: Simplify 0 into 0 12.400 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 12.401 * [backup-simplify]: Simplify (- 0) into 0 12.401 * [backup-simplify]: Simplify (+ 0 0) into 0 12.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.404 * [backup-simplify]: Simplify 0 into 0 12.406 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 12.406 * [backup-simplify]: Simplify (- 0) into 0 12.406 * [backup-simplify]: Simplify (+ 0 0) into 0 12.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 12.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.409 * [backup-simplify]: Simplify 0 into 0 12.410 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (* -0.5 (pow (/ 1 N) 2))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 12.410 * [backup-simplify]: Simplify (/ (* (/ 1 N) (- (* 1.0 (/ 1 N)) 0.5)) (pow (/ 1 N) 3)) into (* (pow N 2) (- (* 1.0 (/ 1 N)) 0.5)) 12.410 * [approximate]: Taking taylor expansion of (* (pow N 2) (- (* 1.0 (/ 1 N)) 0.5)) in (N) around 0 12.410 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 1.0 (/ 1 N)) 0.5)) in N 12.410 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.410 * [taylor]: Taking taylor expansion of N in N 12.410 * [backup-simplify]: Simplify 0 into 0 12.410 * [backup-simplify]: Simplify 1 into 1 12.410 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) 0.5) in N 12.411 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 12.411 * [taylor]: Taking taylor expansion of 1.0 in N 12.411 * [backup-simplify]: Simplify 1.0 into 1.0 12.411 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.411 * [taylor]: Taking taylor expansion of N in N 12.411 * [backup-simplify]: Simplify 0 into 0 12.411 * [backup-simplify]: Simplify 1 into 1 12.411 * [backup-simplify]: Simplify (/ 1 1) into 1 12.411 * [taylor]: Taking taylor expansion of 0.5 in N 12.411 * [backup-simplify]: Simplify 0.5 into 0.5 12.411 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 1.0 (/ 1 N)) 0.5)) in N 12.411 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.411 * [taylor]: Taking taylor expansion of N in N 12.411 * [backup-simplify]: Simplify 0 into 0 12.411 * [backup-simplify]: Simplify 1 into 1 12.411 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) 0.5) in N 12.411 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 12.412 * [taylor]: Taking taylor expansion of 1.0 in N 12.412 * [backup-simplify]: Simplify 1.0 into 1.0 12.412 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.412 * [taylor]: Taking taylor expansion of N in N 12.412 * [backup-simplify]: Simplify 0 into 0 12.412 * [backup-simplify]: Simplify 1 into 1 12.412 * [backup-simplify]: Simplify (/ 1 1) into 1 12.412 * [taylor]: Taking taylor expansion of 0.5 in N 12.412 * [backup-simplify]: Simplify 0.5 into 0.5 12.412 * [backup-simplify]: Simplify (* 1 1) into 1 12.413 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 12.413 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.414 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 12.414 * [backup-simplify]: Simplify 1.0 into 1.0 12.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.415 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 12.416 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 12.417 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 12.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.419 * [backup-simplify]: Simplify (+ (* 1 (- 0.5)) (* 0 1.0)) into (- 0.5) 12.420 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 12.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.421 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 12.422 * [backup-simplify]: Simplify (- 0) into 0 12.422 * [backup-simplify]: Simplify (+ 0 0) into 0 12.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 1.0))) into 0 12.424 * [backup-simplify]: Simplify 0 into 0 12.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.426 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.426 * [backup-simplify]: Simplify (- 0) into 0 12.427 * [backup-simplify]: Simplify (+ 0 0) into 0 12.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))) into 0 12.429 * [backup-simplify]: Simplify 0 into 0 12.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.431 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.431 * [backup-simplify]: Simplify (- 0) into 0 12.432 * [backup-simplify]: Simplify (+ 0 0) into 0 12.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))) into 0 12.435 * [backup-simplify]: Simplify 0 into 0 12.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.437 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.437 * [backup-simplify]: Simplify (- 0) into 0 12.438 * [backup-simplify]: Simplify (+ 0 0) into 0 12.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))) into 0 12.442 * [backup-simplify]: Simplify 0 into 0 12.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.444 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.445 * [backup-simplify]: Simplify (- 0) into 0 12.445 * [backup-simplify]: Simplify (+ 0 0) into 0 12.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))))) into 0 12.449 * [backup-simplify]: Simplify 0 into 0 12.450 * [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 12.452 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 12.452 * [backup-simplify]: Simplify (- 0) into 0 12.453 * [backup-simplify]: Simplify (+ 0 0) into 0 12.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 12.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))))) into 0 12.457 * [backup-simplify]: Simplify 0 into 0 12.458 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 12.458 * [backup-simplify]: Simplify (/ (* (/ 1 (- N)) (- (* 1.0 (/ 1 (- N))) 0.5)) (pow (/ 1 (- N)) 3)) into (* -1 (* (pow N 2) (+ (* 1.0 (/ 1 N)) 0.5))) 12.459 * [approximate]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 1.0 (/ 1 N)) 0.5))) in (N) around 0 12.459 * [taylor]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 1.0 (/ 1 N)) 0.5))) in N 12.459 * [taylor]: Taking taylor expansion of -1 in N 12.459 * [backup-simplify]: Simplify -1 into -1 12.459 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ (* 1.0 (/ 1 N)) 0.5)) in N 12.459 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.459 * [taylor]: Taking taylor expansion of N in N 12.459 * [backup-simplify]: Simplify 0 into 0 12.459 * [backup-simplify]: Simplify 1 into 1 12.459 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 0.5) in N 12.459 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 12.459 * [taylor]: Taking taylor expansion of 1.0 in N 12.459 * [backup-simplify]: Simplify 1.0 into 1.0 12.459 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.459 * [taylor]: Taking taylor expansion of N in N 12.459 * [backup-simplify]: Simplify 0 into 0 12.459 * [backup-simplify]: Simplify 1 into 1 12.459 * [backup-simplify]: Simplify (/ 1 1) into 1 12.459 * [taylor]: Taking taylor expansion of 0.5 in N 12.460 * [backup-simplify]: Simplify 0.5 into 0.5 12.460 * [taylor]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 1.0 (/ 1 N)) 0.5))) in N 12.460 * [taylor]: Taking taylor expansion of -1 in N 12.460 * [backup-simplify]: Simplify -1 into -1 12.460 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ (* 1.0 (/ 1 N)) 0.5)) in N 12.460 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.460 * [taylor]: Taking taylor expansion of N in N 12.460 * [backup-simplify]: Simplify 0 into 0 12.460 * [backup-simplify]: Simplify 1 into 1 12.460 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 0.5) in N 12.460 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 12.460 * [taylor]: Taking taylor expansion of 1.0 in N 12.460 * [backup-simplify]: Simplify 1.0 into 1.0 12.460 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.460 * [taylor]: Taking taylor expansion of N in N 12.460 * [backup-simplify]: Simplify 0 into 0 12.460 * [backup-simplify]: Simplify 1 into 1 12.460 * [backup-simplify]: Simplify (/ 1 1) into 1 12.460 * [taylor]: Taking taylor expansion of 0.5 in N 12.460 * [backup-simplify]: Simplify 0.5 into 0.5 12.461 * [backup-simplify]: Simplify (* 1 1) into 1 12.461 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 12.462 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.462 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 12.463 * [backup-simplify]: Simplify (* -1 1.0) into -1.0 12.463 * [backup-simplify]: Simplify -1.0 into -1.0 12.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.464 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 12.465 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 12.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.467 * [backup-simplify]: Simplify (+ (* 1 0.5) (* 0 1.0)) into 0.5 12.468 * [backup-simplify]: Simplify (+ (* -1 0.5) (* 0 1.0)) into (- 0.5) 12.469 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 12.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.471 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 12.471 * [backup-simplify]: Simplify (+ 0 0) into 0 12.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0.5) (* 0 1.0))) into 0 12.474 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.5) (* 0 1.0))) into 0 12.474 * [backup-simplify]: Simplify 0 into 0 12.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.476 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.476 * [backup-simplify]: Simplify (+ 0 0) into 0 12.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.5) (* 0 1.0)))) into 0 12.480 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0.5) (* 0 1.0)))) into 0 12.480 * [backup-simplify]: Simplify 0 into 0 12.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.482 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.483 * [backup-simplify]: Simplify (+ 0 0) into 0 12.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (* 0 1.0))))) into 0 12.487 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (* 0 1.0))))) into 0 12.487 * [backup-simplify]: Simplify 0 into 0 12.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.490 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.490 * [backup-simplify]: Simplify (+ 0 0) into 0 12.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (* 0 1.0)))))) into 0 12.495 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (* 0 1.0)))))) into 0 12.495 * [backup-simplify]: Simplify 0 into 0 12.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.497 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.498 * [backup-simplify]: Simplify (+ 0 0) into 0 12.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (* 0 1.0))))))) into 0 12.503 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (* 0 1.0))))))) into 0 12.503 * [backup-simplify]: Simplify 0 into 0 12.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.506 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 12.507 * [backup-simplify]: Simplify (+ 0 0) into 0 12.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 12.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (* 0 1.0)))))))) into 0 12.513 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (* 0 1.0)))))))) into 0 12.513 * [backup-simplify]: Simplify 0 into 0 12.514 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N)))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 12.514 * * * * [progress]: [ 2 / 3 ] generating series at (2) 12.514 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow N 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 12.514 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 12.514 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 12.514 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 12.515 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 12.515 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 12.515 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.515 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 12.515 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.515 * [taylor]: Taking taylor expansion of N in N 12.515 * [backup-simplify]: Simplify 0 into 0 12.515 * [backup-simplify]: Simplify 1 into 1 12.515 * [backup-simplify]: Simplify (* 1 1) into 1 12.515 * [backup-simplify]: Simplify (* 1 1) into 1 12.516 * [backup-simplify]: Simplify (/ 1 1) into 1 12.516 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 12.516 * [taylor]: Taking taylor expansion of 1.0 in N 12.516 * [backup-simplify]: Simplify 1.0 into 1.0 12.516 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.516 * [taylor]: Taking taylor expansion of N in N 12.516 * [backup-simplify]: Simplify 0 into 0 12.516 * [backup-simplify]: Simplify 1 into 1 12.516 * [backup-simplify]: Simplify (/ 1 1) into 1 12.516 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 12.516 * [taylor]: Taking taylor expansion of 0.5 in N 12.516 * [backup-simplify]: Simplify 0.5 into 0.5 12.516 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 12.517 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.517 * [taylor]: Taking taylor expansion of N in N 12.517 * [backup-simplify]: Simplify 0 into 0 12.517 * [backup-simplify]: Simplify 1 into 1 12.517 * [backup-simplify]: Simplify (* 1 1) into 1 12.517 * [backup-simplify]: Simplify (/ 1 1) into 1 12.517 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 12.517 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 12.517 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 12.517 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 12.517 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.517 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 12.518 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.518 * [taylor]: Taking taylor expansion of N in N 12.518 * [backup-simplify]: Simplify 0 into 0 12.518 * [backup-simplify]: Simplify 1 into 1 12.518 * [backup-simplify]: Simplify (* 1 1) into 1 12.518 * [backup-simplify]: Simplify (* 1 1) into 1 12.519 * [backup-simplify]: Simplify (/ 1 1) into 1 12.519 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 12.519 * [taylor]: Taking taylor expansion of 1.0 in N 12.519 * [backup-simplify]: Simplify 1.0 into 1.0 12.519 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.519 * [taylor]: Taking taylor expansion of N in N 12.519 * [backup-simplify]: Simplify 0 into 0 12.519 * [backup-simplify]: Simplify 1 into 1 12.519 * [backup-simplify]: Simplify (/ 1 1) into 1 12.519 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 12.519 * [taylor]: Taking taylor expansion of 0.5 in N 12.519 * [backup-simplify]: Simplify 0.5 into 0.5 12.519 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 12.519 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.519 * [taylor]: Taking taylor expansion of N in N 12.519 * [backup-simplify]: Simplify 0 into 0 12.519 * [backup-simplify]: Simplify 1 into 1 12.520 * [backup-simplify]: Simplify (* 1 1) into 1 12.520 * [backup-simplify]: Simplify (/ 1 1) into 1 12.521 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 12.521 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 12.521 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 12.521 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.524 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 12.525 * [backup-simplify]: Simplify (+ 0 0) into 0 12.525 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.525 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 12.526 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 12.527 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 12.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.538 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 12.539 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 12.539 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 12.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.541 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 12.542 * [backup-simplify]: Simplify (- 0) into 0 12.542 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.542 * [backup-simplify]: Simplify 1.0 into 1.0 12.543 * [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)))) 12.544 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 N) 3)) (/ (* (/ 1 N) (- (* 1.0 (/ 1 N)) 0.5)) (pow (/ 1 N) 3))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 12.544 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 12.544 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 12.544 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 12.544 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 12.544 * [taylor]: Taking taylor expansion of 1.0 in N 12.544 * [backup-simplify]: Simplify 1.0 into 1.0 12.544 * [taylor]: Taking taylor expansion of N in N 12.544 * [backup-simplify]: Simplify 0 into 0 12.544 * [backup-simplify]: Simplify 1 into 1 12.544 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 12.544 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 12.544 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.544 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.544 * [taylor]: Taking taylor expansion of N in N 12.544 * [backup-simplify]: Simplify 0 into 0 12.544 * [backup-simplify]: Simplify 1 into 1 12.544 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 12.544 * [taylor]: Taking taylor expansion of 0.5 in N 12.545 * [backup-simplify]: Simplify 0.5 into 0.5 12.545 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.545 * [taylor]: Taking taylor expansion of N in N 12.545 * [backup-simplify]: Simplify 0 into 0 12.545 * [backup-simplify]: Simplify 1 into 1 12.545 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 12.545 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 12.545 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 12.545 * [taylor]: Taking taylor expansion of 1.0 in N 12.545 * [backup-simplify]: Simplify 1.0 into 1.0 12.545 * [taylor]: Taking taylor expansion of N in N 12.545 * [backup-simplify]: Simplify 0 into 0 12.545 * [backup-simplify]: Simplify 1 into 1 12.545 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 12.545 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 12.545 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.545 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.545 * [taylor]: Taking taylor expansion of N in N 12.545 * [backup-simplify]: Simplify 0 into 0 12.545 * [backup-simplify]: Simplify 1 into 1 12.545 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 12.545 * [taylor]: Taking taylor expansion of 0.5 in N 12.545 * [backup-simplify]: Simplify 0.5 into 0.5 12.545 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.545 * [taylor]: Taking taylor expansion of N in N 12.545 * [backup-simplify]: Simplify 0 into 0 12.545 * [backup-simplify]: Simplify 1 into 1 12.546 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.546 * [backup-simplify]: Simplify (+ 0 0) into 0 12.547 * [backup-simplify]: Simplify (+ 0 0) into 0 12.547 * [backup-simplify]: Simplify 0 into 0 12.548 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 12.549 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.549 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.549 * [backup-simplify]: Simplify 1.0 into 1.0 12.550 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.550 * [backup-simplify]: Simplify (+ 0 0) into 0 12.551 * [backup-simplify]: Simplify (* 1 1) into 1 12.551 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.552 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 12.552 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 12.553 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 12.554 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.555 * [backup-simplify]: Simplify (* 1 1) into 1 12.555 * [backup-simplify]: Simplify (* 1 1) into 1 12.555 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 12.556 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 12.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.557 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 12.558 * [backup-simplify]: Simplify (- 0) into 0 12.558 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 12.558 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.559 * [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)))) 12.560 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (/ (* (/ 1 (- N)) (- (* 1.0 (/ 1 (- N))) 0.5)) (pow (/ 1 (- N)) 3))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 12.560 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 12.560 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 12.560 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 12.560 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 12.560 * [taylor]: Taking taylor expansion of 0.5 in N 12.560 * [backup-simplify]: Simplify 0.5 into 0.5 12.560 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.560 * [taylor]: Taking taylor expansion of N in N 12.560 * [backup-simplify]: Simplify 0 into 0 12.560 * [backup-simplify]: Simplify 1 into 1 12.560 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 12.560 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 12.560 * [taylor]: Taking taylor expansion of 1.0 in N 12.560 * [backup-simplify]: Simplify 1.0 into 1.0 12.560 * [taylor]: Taking taylor expansion of N in N 12.560 * [backup-simplify]: Simplify 0 into 0 12.560 * [backup-simplify]: Simplify 1 into 1 12.560 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 12.560 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 12.560 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.560 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.560 * [taylor]: Taking taylor expansion of N in N 12.560 * [backup-simplify]: Simplify 0 into 0 12.561 * [backup-simplify]: Simplify 1 into 1 12.561 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 12.561 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 12.561 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 12.561 * [taylor]: Taking taylor expansion of 0.5 in N 12.561 * [backup-simplify]: Simplify 0.5 into 0.5 12.561 * [taylor]: Taking taylor expansion of (pow N 2) in N 12.561 * [taylor]: Taking taylor expansion of N in N 12.561 * [backup-simplify]: Simplify 0 into 0 12.561 * [backup-simplify]: Simplify 1 into 1 12.561 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 12.561 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 12.561 * [taylor]: Taking taylor expansion of 1.0 in N 12.561 * [backup-simplify]: Simplify 1.0 into 1.0 12.561 * [taylor]: Taking taylor expansion of N in N 12.561 * [backup-simplify]: Simplify 0 into 0 12.561 * [backup-simplify]: Simplify 1 into 1 12.561 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 12.561 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 12.561 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.561 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.561 * [taylor]: Taking taylor expansion of N in N 12.561 * [backup-simplify]: Simplify 0 into 0 12.561 * [backup-simplify]: Simplify 1 into 1 12.562 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.562 * [backup-simplify]: Simplify (+ 0 0) into 0 12.563 * [backup-simplify]: Simplify (+ 0 0) into 0 12.563 * [backup-simplify]: Simplify (- 0) into 0 12.563 * [backup-simplify]: Simplify 0 into 0 12.564 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 12.565 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.565 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 12.566 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.566 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.567 * [backup-simplify]: Simplify (* 1 1) into 1 12.567 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.568 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.568 * [backup-simplify]: Simplify (+ 0 0) into 0 12.569 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 12.569 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 12.569 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 12.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.571 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 12.573 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.573 * [backup-simplify]: Simplify (* 1 1) into 1 12.573 * [backup-simplify]: Simplify (* 1 1) into 1 12.574 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 12.574 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 12.575 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 12.575 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 12.575 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 12.577 * [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)))) 12.577 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 12.577 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 12.578 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 12.578 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 12.578 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 12.578 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.578 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.578 * [taylor]: Taking taylor expansion of N in N 12.578 * [backup-simplify]: Simplify 0 into 0 12.578 * [backup-simplify]: Simplify 1 into 1 12.578 * [backup-simplify]: Simplify (* 1 1) into 1 12.579 * [backup-simplify]: Simplify (* 1 1) into 1 12.579 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 12.579 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 12.579 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 12.579 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.579 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.579 * [taylor]: Taking taylor expansion of N in N 12.579 * [backup-simplify]: Simplify 0 into 0 12.579 * [backup-simplify]: Simplify 1 into 1 12.580 * [backup-simplify]: Simplify (* 1 1) into 1 12.580 * [backup-simplify]: Simplify (* 1 1) into 1 12.580 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 12.581 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 12.583 * [backup-simplify]: Simplify 0 into 0 12.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.585 * [backup-simplify]: Simplify 0 into 0 12.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.589 * [backup-simplify]: Simplify 0 into 0 12.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.592 * [backup-simplify]: Simplify 0 into 0 12.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.595 * [backup-simplify]: Simplify 0 into 0 12.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.599 * [backup-simplify]: Simplify 0 into 0 12.599 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 12.600 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 12.600 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 12.600 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 12.600 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 12.600 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.600 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.600 * [taylor]: Taking taylor expansion of N in N 12.600 * [backup-simplify]: Simplify 0 into 0 12.600 * [backup-simplify]: Simplify 1 into 1 12.600 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 12.600 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 12.600 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.600 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.600 * [taylor]: Taking taylor expansion of N in N 12.600 * [backup-simplify]: Simplify 0 into 0 12.600 * [backup-simplify]: Simplify 1 into 1 12.600 * [backup-simplify]: Simplify (* 1 1) into 1 12.601 * [backup-simplify]: Simplify (* 1 1) into 1 12.601 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 12.601 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.603 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 12.603 * [backup-simplify]: Simplify 0 into 0 12.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.606 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 12.606 * [backup-simplify]: Simplify 0 into 0 12.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.609 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.609 * [backup-simplify]: Simplify 0 into 0 12.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.613 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.613 * [backup-simplify]: Simplify 0 into 0 12.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.617 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.617 * [backup-simplify]: Simplify 0 into 0 12.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.622 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.622 * [backup-simplify]: Simplify 0 into 0 12.622 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 12.622 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 12.622 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 12.622 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 12.622 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 12.622 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 12.622 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.622 * [taylor]: Taking taylor expansion of N in N 12.622 * [backup-simplify]: Simplify 0 into 0 12.622 * [backup-simplify]: Simplify 1 into 1 12.622 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 12.622 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 12.622 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 12.623 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.623 * [taylor]: Taking taylor expansion of N in N 12.623 * [backup-simplify]: Simplify 0 into 0 12.623 * [backup-simplify]: Simplify 1 into 1 12.623 * [backup-simplify]: Simplify (* 1 1) into 1 12.624 * [backup-simplify]: Simplify (* 1 1) into 1 12.624 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 12.624 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 12.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.626 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 12.626 * [backup-simplify]: Simplify 0 into 0 12.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.629 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 12.629 * [backup-simplify]: Simplify 0 into 0 12.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.634 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.634 * [backup-simplify]: Simplify 0 into 0 12.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.638 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.638 * [backup-simplify]: Simplify 0 into 0 12.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.643 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.643 * [backup-simplify]: Simplify 0 into 0 12.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.649 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.649 * [backup-simplify]: Simplify 0 into 0 12.649 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 12.649 * * * [progress]: simplifying candidates 12.654 * [simplify]: Simplifying: (expm1 (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (log1p (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (- (+ (log N) (log (- (* 1.0 N) 0.5))) (* (log N) 3)) (- (+ (log N) (log (- (* 1.0 N) 0.5))) (* (log N) 3)) (- (+ (log N) (log (- (* 1.0 N) 0.5))) (log (pow N 3))) (- (log (* N (- (* 1.0 N) 0.5))) (* (log N) 3)) (- (log (* N (- (* 1.0 N) 0.5))) (* (log N) 3)) (- (log (* N (- (* 1.0 N) 0.5))) (log (pow N 3))) (log (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (exp (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (/ (* (* (* N N) N) (* (* (- (* 1.0 N) 0.5) (- (* 1.0 N) 0.5)) (- (* 1.0 N) 0.5))) (* (* (pow N 3) (pow N 3)) (pow N 3))) (/ (* (* (* N (- (* 1.0 N) 0.5)) (* N (- (* 1.0 N) 0.5))) (* N (- (* 1.0 N) 0.5))) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (cbrt (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)))) (cbrt (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (* (* (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (sqrt (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (sqrt (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (- (* N (- (* 1.0 N) 0.5))) (- (pow N 3)) (/ N (pow (* (cbrt N) (cbrt N)) 3)) (/ (- (* 1.0 N) 0.5) (pow (cbrt N) 3)) (/ N (pow (sqrt N) 3)) (/ (- (* 1.0 N) 0.5) (pow (sqrt N) 3)) (/ N (pow 1 3)) (/ (- (* 1.0 N) 0.5) (pow N 3)) (/ N (* N N)) (/ (- (* 1.0 N) 0.5) N) (/ N (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (- (* 1.0 N) 0.5) (cbrt (pow N 3))) (/ N (pow (* (cbrt N) (cbrt N)) 3)) (/ (- (* 1.0 N) 0.5) (pow (cbrt N) 3)) (/ N (pow (sqrt N) 3)) (/ (- (* 1.0 N) 0.5) (pow (sqrt N) 3)) (/ N (pow 1 3)) (/ (- (* 1.0 N) 0.5) (pow N 3)) (/ N N) (/ (- (* 1.0 N) 0.5) (* N N)) (/ N (sqrt (pow N 3))) (/ (- (* 1.0 N) 0.5) (sqrt (pow N 3))) (/ N 1) (/ (- (* 1.0 N) 0.5) (pow N 3)) (/ N (pow N (/ 3 2))) (/ (- (* 1.0 N) 0.5) (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) (* N (- (* 1.0 N) 0.5))) (/ (* N (- (* 1.0 N) 0.5)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow (sqrt N) 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow 1 3)) (/ (* N (- (* 1.0 N) 0.5)) (* N N)) (/ (* N (- (* 1.0 N) 0.5)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (* N (- (* 1.0 N) 0.5)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow (sqrt N) 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow 1 3)) (/ (* N (- (* 1.0 N) 0.5)) N) (/ (* N (- (* 1.0 N) 0.5)) (sqrt (pow N 3))) (/ (* N (- (* 1.0 N) 0.5)) 1) (/ (* N (- (* 1.0 N) 0.5)) (pow N (/ 3 2))) (/ (pow N 3) (- (* 1.0 N) 0.5)) (* (pow N 3) (+ (* (* 1.0 N) (* 1.0 N)) (+ (* 0.5 0.5) (* (* 1.0 N) 0.5)))) (* (pow N 3) (+ (* 1.0 N) 0.5)) (expm1 (+ (/ 0.3333333333333333 (pow N 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)))) (log1p (+ (/ 0.3333333333333333 (pow N 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)))) (* (exp (/ 0.3333333333333333 (pow N 3))) (exp (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)))) (log (+ (/ 0.3333333333333333 (pow N 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)))) (* (* (+ (/ 0.3333333333333333 (pow N 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (+ (/ 0.3333333333333333 (pow N 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)))) (+ (/ 0.3333333333333333 (pow N 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)))) (+ (* 0.3333333333333333 (pow N 3)) (* (pow N 3) (* N (- (* 1.0 N) 0.5)))) (* (pow N 3) (pow N 3)) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)) 3)) (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (- (* (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (* (/ 0.3333333333333333 (pow N 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))))) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)))) (- (/ 0.3333333333333333 (pow N 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (+ (/ 0.3333333333333333 (pow N 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (+ 0.3333333333333333 (* N (- (* 1.0 N) 0.5))) (expm1 (/ 0.3333333333333333 (pow N 3))) (log1p (/ 0.3333333333333333 (pow N 3))) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (log (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (* (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 0.3333333333333333) (cbrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N (/ 3 2))) (/ (cbrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 0.3333333333333333) (cbrt (pow N 3))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 1 1) (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 0.3333333333333333 1) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) 12.660 * * [simplify]: Extracting # 0 : cost 0 12.660 * * [simplify]: Extracting # 1 : cost 0 12.661 * * [simplify]: Extracting # 2 : cost 0 12.661 * * [simplify]: Extracting # 3 : cost 0 12.662 * * [simplify]: Extracting # 4 : cost 0 12.662 * * [simplify]: Extracting # 5 : cost 0 12.663 * * [simplify]: Extracting # 6 : cost 0 12.663 * * [simplify]: Extracting # 7 : cost 0 12.664 * * [simplify]: iteration 0 : 198 enodes (cost 1951 ) 12.797 * * [simplify]: Extracting # 0 : cost 0 12.800 * * [simplify]: Extracting # 1 : cost 0 12.801 * * [simplify]: Extracting # 2 : cost 0 12.803 * * [simplify]: Extracting # 3 : cost 0 12.805 * * [simplify]: Extracting # 4 : cost 0 12.806 * * [simplify]: iteration 1 : 520 enodes (cost 1664 ) 14.009 * * [simplify]: Extracting # 0 : cost 0 14.022 * * [simplify]: Extracting # 1 : cost 0 14.033 * * [simplify]: Extracting # 2 : cost 0 14.042 * * [simplify]: Extracting # 3 : cost 0 14.053 * * [simplify]: Extracting # 4 : cost 0 14.063 * * [simplify]: iteration 2 : 3776 enodes (cost 1547 ) 17.155 * * [simplify]: Extracting # 0 : cost 0 17.167 * * [simplify]: Extracting # 1 : cost 0 17.179 * * [simplify]: Extracting # 2 : cost 0 17.199 * * [simplify]: Extracting # 3 : cost 0 17.212 * * [simplify]: iteration done: 5001 enodes (cost 1533 ) 17.214 * [simplify]: Simplified to: (expm1 (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (log1p (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (log (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (log (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (log (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (log (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (log (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (log (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (log (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (exp (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (/ (pow N 3) (/ (pow (pow N 3) 3) (pow (- (* 1.0 N) 0.5) 3))) (pow (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)) 3) (* (cbrt (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (cbrt (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)))) (cbrt (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (pow (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)) 3) (sqrt (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (sqrt (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (- (* N (- (* 1.0 N) 0.5))) (- (pow N 3)) (/ 1 N) (/ (- (* 1.0 N) 0.5) N) (/ N (pow (sqrt N) 3)) (/ (- (* 1.0 N) 0.5) (pow (sqrt N) 3)) N (/ (- (* 1.0 N) 0.5) (pow N 3)) (/ 1 N) (/ (- (* 1.0 N) 0.5) N) (/ 1 N) (/ (- (* 1.0 N) 0.5) N) (/ 1 N) (/ (- (* 1.0 N) 0.5) N) (/ N (pow (sqrt N) 3)) (/ (- (* 1.0 N) 0.5) (pow (sqrt N) 3)) N (/ (- (* 1.0 N) 0.5) (pow N 3)) 1 (/ (- (* 1.0 N) 0.5) (* N N)) (/ N (sqrt (pow N 3))) (/ (- (* 1.0 N) 0.5) (sqrt (pow N 3))) N (/ (- (* 1.0 N) 0.5) (pow N 3)) (/ N (pow N 3/2)) (/ (- (* 1.0 N) 0.5) (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) (* N (- (* 1.0 N) 0.5))) (* 1 (/ (- (* 1.0 N) 0.5) N)) (/ (* N (- (* 1.0 N) 0.5)) (pow (sqrt N) 3)) (* N (- (* 1.0 N) 0.5)) (* 1 (/ (- (* 1.0 N) 0.5) N)) (* 1 (/ (- (* 1.0 N) 0.5) N)) (* 1 (/ (- (* 1.0 N) 0.5) N)) (/ (* N (- (* 1.0 N) 0.5)) (pow (sqrt N) 3)) (* N (- (* 1.0 N) 0.5)) (/ (* N (- (* 1.0 N) 0.5)) N) (/ (* N (- (* 1.0 N) 0.5)) (sqrt (pow N 3))) (* N (- (* 1.0 N) 0.5)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3/2)) (/ (pow N 3) (- (* 1.0 N) 0.5)) (* (pow N 3) (fma (* 1.0 N) (* 1.0 N) (* 0.5 (fma 1.0 N 0.5)))) (* (fma 1.0 N 0.5) (pow N 3)) (expm1 (fma (/ N (pow N 3)) (- (* 1.0 N) 0.5) (/ 0.3333333333333333 (pow N 3)))) (log1p (fma (/ N (pow N 3)) (- (* 1.0 N) 0.5) (/ 0.3333333333333333 (pow N 3)))) (exp (fma (/ N (pow N 3)) (- (* 1.0 N) 0.5) (/ 0.3333333333333333 (pow N 3)))) (log (fma (/ N (pow N 3)) (- (* 1.0 N) 0.5) (/ 0.3333333333333333 (pow N 3)))) (exp (fma (/ N (pow N 3)) (- (* 1.0 N) 0.5) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (fma (/ N (pow N 3)) (- (* 1.0 N) 0.5) (/ 0.3333333333333333 (pow N 3)))) (cbrt (fma (/ N (pow N 3)) (- (* 1.0 N) 0.5) (/ 0.3333333333333333 (pow N 3))))) (cbrt (fma (/ N (pow N 3)) (- (* 1.0 N) 0.5) (/ 0.3333333333333333 (pow N 3)))) (pow (fma (/ N (pow N 3)) (- (* 1.0 N) 0.5) (/ 0.3333333333333333 (pow N 3))) 3) (sqrt (fma (/ N (pow N 3)) (- (* 1.0 N) 0.5) (/ 0.3333333333333333 (pow N 3)))) (sqrt (fma (/ N (pow N 3)) (- (* 1.0 N) 0.5) (/ 0.3333333333333333 (pow N 3)))) (* (pow N 3) (fma N (- (* 1.0 N) 0.5) 0.3333333333333333)) (pow N 6) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)) 3)) (fma (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (* (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)) (- (/ (* N (- (* 1.0 N) 0.5)) (pow N 3)) (/ 0.3333333333333333 (pow N 3))))) (* (- (/ 0.3333333333333333 (pow N 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (fma (/ N (pow N 3)) (- (* 1.0 N) 0.5) (/ 0.3333333333333333 (pow N 3)))) (- (/ 0.3333333333333333 (pow N 3)) (/ (* N (- (* 1.0 N) 0.5)) (pow N 3))) (fma (/ N (pow N 3)) (- (* 1.0 N) 0.5) (/ 0.3333333333333333 (pow N 3))) (fma N (- (* 1.0 N) 0.5) 0.3333333333333333) (expm1 (/ 0.3333333333333333 (pow N 3))) (log1p (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N 3/2)) (/ (cbrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) 17.215 * * * [progress]: adding candidates to table 18.098 * [progress]: [Phase 3 of 3] Extracting. 18.098 * * [regime]: Finding splitpoints for: (# # #) 18.099 * * * [regime-changes]: Trying 1 branch expressions: (N) 18.099 * * * * [regimes]: Trying to branch on N from (# # #) 18.164 * * * [regime]: Found split indices: #