32.397 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.092 * * * [progress]: [2/2] Setting up program. 0.098 * [progress]: [Phase 2 of 3] Improving. 0.099 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.099 * * [simplify]: Extracting # 0 : cost 0 0.099 * * [simplify]: Extracting # 1 : cost 0 0.099 * * [simplify]: Extracting # 2 : cost 0 0.099 * * [simplify]: Extracting # 3 : cost 0 0.099 * * [simplify]: Extracting # 4 : cost 0 0.099 * * [simplify]: Extracting # 5 : cost 0 0.099 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.101 * * [simplify]: Extracting # 0 : cost 0 0.101 * * [simplify]: Extracting # 1 : cost 0 0.101 * * [simplify]: Extracting # 2 : cost 0 0.101 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.103 * * [simplify]: Extracting # 0 : cost 0 0.103 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.105 * * [simplify]: Extracting # 0 : cost 0 0.105 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.105 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.106 * * [progress]: iteration 1 / 4 0.106 * * * [progress]: picking best candidate 0.110 * * * * [pick]: Picked # 0.111 * * * [progress]: localizing error 0.132 * * * [progress]: generating rewritten candidates 0.132 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.141 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.189 * * * [progress]: generating series expansions 0.189 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.190 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.190 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.190 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.190 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.190 * [taylor]: Taking taylor expansion of N in N 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [taylor]: Taking taylor expansion of 1.0 in N 0.190 * [backup-simplify]: Simplify 1.0 into 1.0 0.197 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.198 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.198 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.198 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.198 * [taylor]: Taking taylor expansion of N in N 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [taylor]: Taking taylor expansion of 1.0 in N 0.198 * [backup-simplify]: Simplify 1.0 into 1.0 0.199 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.199 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.200 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.201 * [backup-simplify]: Simplify (+ 1 0) into 1 0.208 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.208 * [backup-simplify]: Simplify 1.0 into 1.0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [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)) 0.222 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.224 * [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)))) 0.225 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.225 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.225 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.225 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.225 * [taylor]: Taking taylor expansion of N in N 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [taylor]: Taking taylor expansion of 1.0 in N 0.225 * [backup-simplify]: Simplify 1.0 into 1.0 0.226 * [backup-simplify]: Simplify (+ 1 0) into 1 0.226 * [backup-simplify]: Simplify (log 1) into 0 0.226 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.226 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.226 * [taylor]: Taking taylor expansion of N in N 0.226 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [taylor]: Taking taylor expansion of 1.0 in N 0.227 * [backup-simplify]: Simplify 1.0 into 1.0 0.227 * [backup-simplify]: Simplify (+ 1 0) into 1 0.228 * [backup-simplify]: Simplify (log 1) into 0 0.229 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.229 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.237 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.237 * [backup-simplify]: Simplify 1.0 into 1.0 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [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 0.250 * [backup-simplify]: Simplify -0.5 into -0.5 0.251 * [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)))) 0.251 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.251 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.251 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.251 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.251 * [taylor]: Taking taylor expansion of 1.0 in N 0.251 * [backup-simplify]: Simplify 1.0 into 1.0 0.251 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.251 * [taylor]: Taking taylor expansion of N in N 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [backup-simplify]: Simplify (- 1) into -1 0.253 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.253 * [backup-simplify]: Simplify (log -1) into (log -1) 0.253 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.253 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.253 * [taylor]: Taking taylor expansion of 1.0 in N 0.253 * [backup-simplify]: Simplify 1.0 into 1.0 0.253 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.253 * [taylor]: Taking taylor expansion of N in N 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [backup-simplify]: Simplify (- 1) into -1 0.255 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.255 * [backup-simplify]: Simplify (log -1) into (log -1) 0.256 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.257 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.265 * [backup-simplify]: Simplify -1.0 into -1.0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [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 0.279 * [backup-simplify]: Simplify -0.5 into -0.5 0.280 * [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)))) 0.280 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.280 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.280 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.280 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.280 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.280 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.280 * [taylor]: Taking taylor expansion of N in N 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [taylor]: Taking taylor expansion of 1.0 in N 0.280 * [backup-simplify]: Simplify 1.0 into 1.0 0.281 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.281 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.281 * [taylor]: Taking taylor expansion of (log N) in N 0.281 * [taylor]: Taking taylor expansion of N in N 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (log 1) into 0 0.282 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.282 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.282 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.282 * [taylor]: Taking taylor expansion of N in N 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [taylor]: Taking taylor expansion of 1.0 in N 0.282 * [backup-simplify]: Simplify 1.0 into 1.0 0.283 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.283 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.283 * [taylor]: Taking taylor expansion of (log N) in N 0.283 * [taylor]: Taking taylor expansion of N in N 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (log 1) into 0 0.284 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.284 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.285 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.285 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.286 * [backup-simplify]: Simplify (+ 1 0) into 1 0.291 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.293 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.293 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.294 * [backup-simplify]: Simplify 1.0 into 1.0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [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)) 0.309 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.315 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.319 * [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))) 0.319 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.319 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.319 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.319 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.319 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.319 * [taylor]: Taking taylor expansion of N in N 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of 1.0 in N 0.320 * [backup-simplify]: Simplify 1.0 into 1.0 0.321 * [backup-simplify]: Simplify (+ 1 0) into 1 0.321 * [backup-simplify]: Simplify (log 1) into 0 0.321 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.321 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.321 * [taylor]: Taking taylor expansion of N in N 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [backup-simplify]: Simplify (log 1) into 0 0.322 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.322 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.322 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.322 * [taylor]: Taking taylor expansion of N in N 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [taylor]: Taking taylor expansion of 1.0 in N 0.323 * [backup-simplify]: Simplify 1.0 into 1.0 0.323 * [backup-simplify]: Simplify (+ 1 0) into 1 0.323 * [backup-simplify]: Simplify (log 1) into 0 0.324 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.324 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.324 * [taylor]: Taking taylor expansion of N in N 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [backup-simplify]: Simplify (log 1) into 0 0.325 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.326 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.326 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.326 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.336 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.338 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.339 * [backup-simplify]: Simplify 1.0 into 1.0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [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 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.369 * [backup-simplify]: Simplify (- 0) into 0 0.369 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.370 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (+ 0 0) into 0 0.393 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [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 0.400 * [backup-simplify]: Simplify (- 0) into 0 0.401 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.401 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.402 * [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)))) 0.403 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.403 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.403 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.403 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.403 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.403 * [taylor]: Taking taylor expansion of 1.0 in N 0.403 * [backup-simplify]: Simplify 1.0 into 1.0 0.403 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.403 * [taylor]: Taking taylor expansion of N in N 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.404 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [backup-simplify]: Simplify (- 1) into -1 0.404 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.405 * [backup-simplify]: Simplify (log -1) into (log -1) 0.405 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.405 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.405 * [taylor]: Taking taylor expansion of -1 in N 0.405 * [backup-simplify]: Simplify -1 into -1 0.405 * [taylor]: Taking taylor expansion of N in N 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (/ -1 1) into -1 0.406 * [backup-simplify]: Simplify (log -1) into (log -1) 0.406 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.406 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.406 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.406 * [taylor]: Taking taylor expansion of 1.0 in N 0.406 * [backup-simplify]: Simplify 1.0 into 1.0 0.407 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.407 * [taylor]: Taking taylor expansion of N in N 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (/ 1 1) into 1 0.408 * [backup-simplify]: Simplify (- 1) into -1 0.408 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.408 * [backup-simplify]: Simplify (log -1) into (log -1) 0.408 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.409 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.409 * [taylor]: Taking taylor expansion of -1 in N 0.409 * [backup-simplify]: Simplify -1 into -1 0.409 * [taylor]: Taking taylor expansion of N in N 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (/ -1 1) into -1 0.410 * [backup-simplify]: Simplify (log -1) into (log -1) 0.411 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.412 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.412 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.413 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.427 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.433 * [backup-simplify]: Simplify (- 0) into 0 0.434 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.435 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (- 0) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [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 0.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.457 * [backup-simplify]: Simplify (- 0) into 0 0.458 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.458 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.479 * [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 0.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [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 0.487 * [backup-simplify]: Simplify (- 0) into 0 0.487 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.488 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.489 * [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)))) 0.490 * * * [progress]: simplifying candidates 0.491 * [simplify]: Simplifying: (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.493 * * [simplify]: Extracting # 0 : cost 0 0.493 * * [simplify]: Extracting # 1 : cost 0 0.494 * * [simplify]: Extracting # 2 : cost 0 0.494 * * [simplify]: Extracting # 3 : cost 0 0.494 * * [simplify]: Extracting # 4 : cost 0 0.494 * * [simplify]: Extracting # 5 : cost 0 0.495 * * [simplify]: Extracting # 6 : cost 0 0.495 * * [simplify]: Extracting # 7 : cost 0 0.495 * * [simplify]: iteration 0 : 101 enodes (cost 510 ) 0.548 * * [simplify]: Extracting # 0 : cost 0 0.548 * * [simplify]: Extracting # 1 : cost 0 0.549 * * [simplify]: Extracting # 2 : cost 0 0.549 * * [simplify]: Extracting # 3 : cost 0 0.550 * * [simplify]: Extracting # 4 : cost 0 0.550 * * [simplify]: iteration 1 : 213 enodes (cost 488 ) 0.675 * * [simplify]: Extracting # 0 : cost 0 0.676 * * [simplify]: Extracting # 1 : cost 0 0.678 * * [simplify]: Extracting # 2 : cost 0 0.692 * * [simplify]: Extracting # 3 : cost 0 0.694 * * [simplify]: Extracting # 4 : cost 0 0.696 * * [simplify]: iteration 2 : 643 enodes (cost 445 ) 1.336 * * [simplify]: Extracting # 0 : cost 0 1.347 * * [simplify]: Extracting # 1 : cost 0 1.356 * * [simplify]: Extracting # 2 : cost 0 1.364 * * [simplify]: Extracting # 3 : cost 0 1.370 * * [simplify]: Extracting # 4 : cost 0 1.377 * * [simplify]: iteration 3 : 2849 enodes (cost 443 ) 2.686 * * [simplify]: Extracting # 0 : cost 0 2.700 * * [simplify]: Extracting # 1 : cost 0 2.709 * * [simplify]: Extracting # 2 : cost 0 2.730 * * [simplify]: Extracting # 3 : cost 0 2.741 * * [simplify]: Extracting # 4 : cost 0 2.752 * * [simplify]: iteration done: 5001 enodes (cost 438 ) 2.753 * [simplify]: Simplified to: (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* 1.0 (- 1.0 N)) (* N N))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0)))) (* (log N) (log N))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log N) (log (+ (* 1.0 (- 1.0 N)) (* N N)))) (+ (log (- N 1.0)) (log N)) (- (log N)) (+ (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (* N 1.0)) (+ (/ 1.0 N) (- (log N) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (log N) (/ 0.5 (* N N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) 2.755 * * * [progress]: adding candidates to table 3.009 * * [progress]: iteration 2 / 4 3.009 * * * [progress]: picking best candidate 3.020 * * * * [pick]: Picked # 3.021 * * * [progress]: localizing error 3.055 * * * [progress]: generating rewritten candidates 3.055 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.325 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.341 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.356 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.416 * * * [progress]: generating series expansions 3.416 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.417 * [backup-simplify]: Simplify (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 3.417 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 3.417 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 3.417 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 3.417 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.417 * [taylor]: Taking taylor expansion of 1.0 in N 3.417 * [backup-simplify]: Simplify 1.0 into 1.0 3.417 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.417 * [taylor]: Taking taylor expansion of N in N 3.417 * [backup-simplify]: Simplify 0 into 0 3.417 * [backup-simplify]: Simplify 1 into 1 3.418 * [backup-simplify]: Simplify (/ 1 1) into 1 3.418 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.418 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.418 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.418 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.418 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.418 * [taylor]: Taking taylor expansion of N in N 3.418 * [backup-simplify]: Simplify 0 into 0 3.418 * [backup-simplify]: Simplify 1 into 1 3.419 * [backup-simplify]: Simplify (* 1 1) into 1 3.419 * [backup-simplify]: Simplify (* 1 1) into 1 3.419 * [backup-simplify]: Simplify (/ 1 1) into 1 3.419 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.420 * [taylor]: Taking taylor expansion of 0.5 in N 3.420 * [backup-simplify]: Simplify 0.5 into 0.5 3.420 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.420 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.420 * [taylor]: Taking taylor expansion of N in N 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 1 into 1 3.420 * [backup-simplify]: Simplify (* 1 1) into 1 3.420 * [backup-simplify]: Simplify (/ 1 1) into 1 3.420 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 3.421 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 3.421 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.421 * [taylor]: Taking taylor expansion of 1.0 in N 3.421 * [backup-simplify]: Simplify 1.0 into 1.0 3.421 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.421 * [taylor]: Taking taylor expansion of N in N 3.421 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify 1 into 1 3.421 * [backup-simplify]: Simplify (/ 1 1) into 1 3.421 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.421 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.421 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.421 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.421 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.421 * [taylor]: Taking taylor expansion of N in N 3.421 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify 1 into 1 3.422 * [backup-simplify]: Simplify (* 1 1) into 1 3.422 * [backup-simplify]: Simplify (* 1 1) into 1 3.423 * [backup-simplify]: Simplify (/ 1 1) into 1 3.423 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.423 * [taylor]: Taking taylor expansion of 0.5 in N 3.423 * [backup-simplify]: Simplify 0.5 into 0.5 3.423 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.423 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.423 * [taylor]: Taking taylor expansion of N in N 3.423 * [backup-simplify]: Simplify 0 into 0 3.423 * [backup-simplify]: Simplify 1 into 1 3.423 * [backup-simplify]: Simplify (* 1 1) into 1 3.424 * [backup-simplify]: Simplify (/ 1 1) into 1 3.424 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.425 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.425 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.425 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.428 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.429 * [backup-simplify]: Simplify (+ 0 0) into 0 3.429 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.429 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.430 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.431 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.431 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.435 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.436 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.438 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.438 * [backup-simplify]: Simplify (- 0) into 0 3.438 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.439 * [backup-simplify]: Simplify 1.0 into 1.0 3.440 * [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)))) 3.440 * [backup-simplify]: Simplify (+ (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N)))) (/ 0.3333333333333333 (pow (/ 1 N) 3))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 3.440 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 3.440 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 3.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.440 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.440 * [taylor]: Taking taylor expansion of 1.0 in N 3.440 * [backup-simplify]: Simplify 1.0 into 1.0 3.440 * [taylor]: Taking taylor expansion of N in N 3.440 * [backup-simplify]: Simplify 0 into 0 3.440 * [backup-simplify]: Simplify 1 into 1 3.441 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.441 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.441 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.441 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.441 * [taylor]: Taking taylor expansion of N in N 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify 1 into 1 3.441 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.441 * [taylor]: Taking taylor expansion of 0.5 in N 3.441 * [backup-simplify]: Simplify 0.5 into 0.5 3.441 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.441 * [taylor]: Taking taylor expansion of N in N 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify 1 into 1 3.441 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 3.441 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.441 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.441 * [taylor]: Taking taylor expansion of 1.0 in N 3.441 * [backup-simplify]: Simplify 1.0 into 1.0 3.441 * [taylor]: Taking taylor expansion of N in N 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify 1 into 1 3.441 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.441 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.441 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.441 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.441 * [taylor]: Taking taylor expansion of N in N 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify 1 into 1 3.441 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.441 * [taylor]: Taking taylor expansion of 0.5 in N 3.442 * [backup-simplify]: Simplify 0.5 into 0.5 3.442 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.442 * [taylor]: Taking taylor expansion of N in N 3.442 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify 1 into 1 3.442 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.443 * [backup-simplify]: Simplify (+ 0 0) into 0 3.443 * [backup-simplify]: Simplify (+ 0 0) into 0 3.443 * [backup-simplify]: Simplify 0 into 0 3.445 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.445 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.446 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.446 * [backup-simplify]: Simplify 1.0 into 1.0 3.447 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.447 * [backup-simplify]: Simplify (+ 0 0) into 0 3.447 * [backup-simplify]: Simplify (* 1 1) into 1 3.448 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.454 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.456 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.456 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.458 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.458 * [backup-simplify]: Simplify (* 1 1) into 1 3.459 * [backup-simplify]: Simplify (* 1 1) into 1 3.459 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.460 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.461 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.462 * [backup-simplify]: Simplify (- 0) into 0 3.462 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.462 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.463 * [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)))) 3.464 * [backup-simplify]: Simplify (+ (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) (/ 0.3333333333333333 (pow (/ 1 (- N)) 3))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 3.464 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 3.464 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 3.464 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.464 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.464 * [taylor]: Taking taylor expansion of 0.5 in N 3.464 * [backup-simplify]: Simplify 0.5 into 0.5 3.464 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.464 * [taylor]: Taking taylor expansion of N in N 3.464 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify 1 into 1 3.465 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.465 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.465 * [taylor]: Taking taylor expansion of 1.0 in N 3.465 * [backup-simplify]: Simplify 1.0 into 1.0 3.465 * [taylor]: Taking taylor expansion of N in N 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify 1 into 1 3.465 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.465 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.465 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.465 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.465 * [taylor]: Taking taylor expansion of N in N 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify 1 into 1 3.465 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 3.465 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.465 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.465 * [taylor]: Taking taylor expansion of 0.5 in N 3.465 * [backup-simplify]: Simplify 0.5 into 0.5 3.465 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.465 * [taylor]: Taking taylor expansion of N in N 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify 1 into 1 3.465 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.465 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.465 * [taylor]: Taking taylor expansion of 1.0 in N 3.465 * [backup-simplify]: Simplify 1.0 into 1.0 3.465 * [taylor]: Taking taylor expansion of N in N 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify 1 into 1 3.465 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.465 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.465 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.465 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.466 * [taylor]: Taking taylor expansion of N in N 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify 1 into 1 3.466 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.467 * [backup-simplify]: Simplify (+ 0 0) into 0 3.467 * [backup-simplify]: Simplify (+ 0 0) into 0 3.468 * [backup-simplify]: Simplify (- 0) into 0 3.468 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.470 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.471 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.471 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.471 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.472 * [backup-simplify]: Simplify (* 1 1) into 1 3.472 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.474 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.474 * [backup-simplify]: Simplify (+ 0 0) into 0 3.474 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.475 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.475 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.477 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.478 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.479 * [backup-simplify]: Simplify (* 1 1) into 1 3.480 * [backup-simplify]: Simplify (* 1 1) into 1 3.480 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.481 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.482 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.483 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.483 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.485 * [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)))) 3.485 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.485 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 3.485 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 3.485 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 3.485 * [taylor]: Taking taylor expansion of 0.5 in N 3.486 * [backup-simplify]: Simplify 0.5 into 0.5 3.486 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.486 * [taylor]: Taking taylor expansion of N in N 3.486 * [backup-simplify]: Simplify 0 into 0 3.486 * [backup-simplify]: Simplify 1 into 1 3.486 * [backup-simplify]: Simplify (* 1 1) into 1 3.487 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 3.487 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 3.487 * [taylor]: Taking taylor expansion of 0.5 in N 3.487 * [backup-simplify]: Simplify 0.5 into 0.5 3.487 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.487 * [taylor]: Taking taylor expansion of N in N 3.487 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify 1 into 1 3.487 * [backup-simplify]: Simplify (* 1 1) into 1 3.488 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 3.488 * [backup-simplify]: Simplify 0.5 into 0.5 3.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 3.490 * [backup-simplify]: Simplify 0 into 0 3.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.492 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.495 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.497 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.500 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.503 * [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 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 3.503 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 3.503 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 3.503 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.503 * [taylor]: Taking taylor expansion of 0.5 in N 3.503 * [backup-simplify]: Simplify 0.5 into 0.5 3.504 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.504 * [taylor]: Taking taylor expansion of N in N 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 1 into 1 3.504 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.504 * [taylor]: Taking taylor expansion of 0.5 in N 3.504 * [backup-simplify]: Simplify 0.5 into 0.5 3.504 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.504 * [taylor]: Taking taylor expansion of N in N 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 1 into 1 3.504 * [backup-simplify]: Simplify (* 1 1) into 1 3.505 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.505 * [backup-simplify]: Simplify 0.5 into 0.5 3.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.506 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.506 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.508 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.508 * [backup-simplify]: Simplify 0 into 0 3.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.511 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.511 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.513 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.514 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.517 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.517 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.520 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.520 * [backup-simplify]: Simplify 0 into 0 3.520 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 3.521 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 3.521 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 3.521 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.521 * [taylor]: Taking taylor expansion of 0.5 in N 3.521 * [backup-simplify]: Simplify 0.5 into 0.5 3.521 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.521 * [taylor]: Taking taylor expansion of N in N 3.521 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify 1 into 1 3.521 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.521 * [taylor]: Taking taylor expansion of 0.5 in N 3.521 * [backup-simplify]: Simplify 0.5 into 0.5 3.521 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.521 * [taylor]: Taking taylor expansion of N in N 3.521 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify 1 into 1 3.522 * [backup-simplify]: Simplify (* 1 1) into 1 3.522 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.522 * [backup-simplify]: Simplify 0.5 into 0.5 3.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.524 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.524 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.526 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.526 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.528 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.528 * [backup-simplify]: Simplify 0 into 0 3.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.532 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.532 * [backup-simplify]: Simplify 0 into 0 3.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.535 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.535 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.539 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.539 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 3.539 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.539 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 3.539 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 3.540 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.540 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.540 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.540 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.540 * [taylor]: Taking taylor expansion of N in N 3.540 * [backup-simplify]: Simplify 0 into 0 3.540 * [backup-simplify]: Simplify 1 into 1 3.540 * [backup-simplify]: Simplify (* 1 1) into 1 3.541 * [backup-simplify]: Simplify (* 1 1) into 1 3.541 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.541 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.541 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.541 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.541 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.541 * [taylor]: Taking taylor expansion of N in N 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 1 into 1 3.542 * [backup-simplify]: Simplify (* 1 1) into 1 3.542 * [backup-simplify]: Simplify (* 1 1) into 1 3.543 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.543 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 3.546 * [backup-simplify]: Simplify 0 into 0 3.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.549 * [backup-simplify]: Simplify 0 into 0 3.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.553 * [backup-simplify]: Simplify 0 into 0 3.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.557 * [backup-simplify]: Simplify 0 into 0 3.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.562 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.566 * [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 3.566 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.567 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 3.567 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 3.567 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.567 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.567 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.567 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.567 * [taylor]: Taking taylor expansion of N in N 3.568 * [backup-simplify]: Simplify 0 into 0 3.568 * [backup-simplify]: Simplify 1 into 1 3.568 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.568 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.568 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.568 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.568 * [taylor]: Taking taylor expansion of N in N 3.568 * [backup-simplify]: Simplify 0 into 0 3.568 * [backup-simplify]: Simplify 1 into 1 3.569 * [backup-simplify]: Simplify (* 1 1) into 1 3.569 * [backup-simplify]: Simplify (* 1 1) into 1 3.570 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.570 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.573 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.573 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.576 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.577 * [backup-simplify]: Simplify 0 into 0 3.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.580 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.581 * [backup-simplify]: Simplify 0 into 0 3.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.585 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.585 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.589 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.589 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.594 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.594 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.595 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 3.595 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 3.595 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.595 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.595 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.595 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.595 * [taylor]: Taking taylor expansion of N in N 3.595 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify 1 into 1 3.595 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.595 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.595 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.596 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.596 * [taylor]: Taking taylor expansion of N in N 3.596 * [backup-simplify]: Simplify 0 into 0 3.596 * [backup-simplify]: Simplify 1 into 1 3.596 * [backup-simplify]: Simplify (* 1 1) into 1 3.597 * [backup-simplify]: Simplify (* 1 1) into 1 3.597 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 3.597 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.599 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 3.599 * [backup-simplify]: Simplify 0 into 0 3.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.602 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.602 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.606 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.606 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.610 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.610 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.615 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.615 * [backup-simplify]: Simplify 0 into 0 3.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.620 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.620 * [backup-simplify]: Simplify 0 into 0 3.620 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.620 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.620 * [backup-simplify]: Simplify (- (/ 1.0 N) (/ 0.5 (* N N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.621 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 3.621 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 3.621 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.621 * [taylor]: Taking taylor expansion of 1.0 in N 3.621 * [backup-simplify]: Simplify 1.0 into 1.0 3.621 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.621 * [taylor]: Taking taylor expansion of N in N 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify 1 into 1 3.621 * [backup-simplify]: Simplify (/ 1 1) into 1 3.621 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.621 * [taylor]: Taking taylor expansion of 0.5 in N 3.621 * [backup-simplify]: Simplify 0.5 into 0.5 3.621 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.621 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.621 * [taylor]: Taking taylor expansion of N in N 3.621 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify 1 into 1 3.622 * [backup-simplify]: Simplify (* 1 1) into 1 3.622 * [backup-simplify]: Simplify (/ 1 1) into 1 3.622 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 3.622 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.622 * [taylor]: Taking taylor expansion of 1.0 in N 3.623 * [backup-simplify]: Simplify 1.0 into 1.0 3.623 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.623 * [taylor]: Taking taylor expansion of N in N 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify 1 into 1 3.623 * [backup-simplify]: Simplify (/ 1 1) into 1 3.623 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.623 * [taylor]: Taking taylor expansion of 0.5 in N 3.623 * [backup-simplify]: Simplify 0.5 into 0.5 3.623 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.623 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.623 * [taylor]: Taking taylor expansion of N in N 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify 1 into 1 3.624 * [backup-simplify]: Simplify (* 1 1) into 1 3.624 * [backup-simplify]: Simplify (/ 1 1) into 1 3.625 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.625 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.626 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.627 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.635 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.637 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.638 * [backup-simplify]: Simplify (- 0) into 0 3.638 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.638 * [backup-simplify]: Simplify 1.0 into 1.0 3.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.640 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 3.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.643 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.644 * [backup-simplify]: Simplify (- 0) into 0 3.644 * [backup-simplify]: Simplify (+ 0 0) into 0 3.644 * [backup-simplify]: Simplify 0 into 0 3.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.646 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 3.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.649 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.650 * [backup-simplify]: Simplify (- 0) into 0 3.650 * [backup-simplify]: Simplify (+ 0 0) into 0 3.650 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.653 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.656 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.657 * [backup-simplify]: Simplify (- 0) into 0 3.657 * [backup-simplify]: Simplify (+ 0 0) into 0 3.657 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.660 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.664 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.664 * [backup-simplify]: Simplify (- 0) into 0 3.665 * [backup-simplify]: Simplify (+ 0 0) into 0 3.665 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.667 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.672 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.672 * [backup-simplify]: Simplify (- 0) into 0 3.673 * [backup-simplify]: Simplify (+ 0 0) into 0 3.673 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.676 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.678 * [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 3.680 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.681 * [backup-simplify]: Simplify (- 0) into 0 3.681 * [backup-simplify]: Simplify (+ 0 0) into 0 3.681 * [backup-simplify]: Simplify 0 into 0 3.682 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (* (- 0.5) (pow (/ 1 N) 2))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.683 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N)))) into (- (* 1.0 N) (* 0.5 (pow N 2))) 3.683 * [approximate]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in (N) around 0 3.683 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 3.683 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.683 * [taylor]: Taking taylor expansion of 1.0 in N 3.683 * [backup-simplify]: Simplify 1.0 into 1.0 3.683 * [taylor]: Taking taylor expansion of N in N 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify 1 into 1 3.683 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.683 * [taylor]: Taking taylor expansion of 0.5 in N 3.683 * [backup-simplify]: Simplify 0.5 into 0.5 3.683 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.683 * [taylor]: Taking taylor expansion of N in N 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify 1 into 1 3.683 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 3.683 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.683 * [taylor]: Taking taylor expansion of 1.0 in N 3.683 * [backup-simplify]: Simplify 1.0 into 1.0 3.683 * [taylor]: Taking taylor expansion of N in N 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify 1 into 1 3.683 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.683 * [taylor]: Taking taylor expansion of 0.5 in N 3.683 * [backup-simplify]: Simplify 0.5 into 0.5 3.683 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.683 * [taylor]: Taking taylor expansion of N in N 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify 1 into 1 3.684 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.685 * [backup-simplify]: Simplify (+ 0 0) into 0 3.685 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.687 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.687 * [backup-simplify]: Simplify 1.0 into 1.0 3.688 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.688 * [backup-simplify]: Simplify (* 1 1) into 1 3.689 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.689 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.690 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.691 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.692 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.694 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.694 * [backup-simplify]: Simplify (- 0) into 0 3.694 * [backup-simplify]: Simplify (+ 0 0) into 0 3.695 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.698 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.699 * [backup-simplify]: Simplify (- 0) into 0 3.699 * [backup-simplify]: Simplify (+ 0 0) into 0 3.699 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.703 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.704 * [backup-simplify]: Simplify (- 0) into 0 3.704 * [backup-simplify]: Simplify (+ 0 0) into 0 3.704 * [backup-simplify]: Simplify 0 into 0 3.706 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.709 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.709 * [backup-simplify]: Simplify (- 0) into 0 3.710 * [backup-simplify]: Simplify (+ 0 0) into 0 3.710 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.716 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.717 * [backup-simplify]: Simplify (- 0) into 0 3.717 * [backup-simplify]: Simplify (+ 0 0) into 0 3.717 * [backup-simplify]: Simplify 0 into 0 3.720 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 3.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.724 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.724 * [backup-simplify]: Simplify (- 0) into 0 3.724 * [backup-simplify]: Simplify (+ 0 0) into 0 3.725 * [backup-simplify]: Simplify 0 into 0 3.726 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.726 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) 3.726 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) in (N) around 0 3.726 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 3.726 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 3.726 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.726 * [taylor]: Taking taylor expansion of 0.5 in N 3.727 * [backup-simplify]: Simplify 0.5 into 0.5 3.727 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.727 * [taylor]: Taking taylor expansion of N in N 3.727 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify 1 into 1 3.727 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.727 * [taylor]: Taking taylor expansion of 1.0 in N 3.727 * [backup-simplify]: Simplify 1.0 into 1.0 3.727 * [taylor]: Taking taylor expansion of N in N 3.727 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify 1 into 1 3.727 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 3.727 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 3.727 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.727 * [taylor]: Taking taylor expansion of 0.5 in N 3.727 * [backup-simplify]: Simplify 0.5 into 0.5 3.727 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.727 * [taylor]: Taking taylor expansion of N in N 3.727 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify 1 into 1 3.727 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.727 * [taylor]: Taking taylor expansion of 1.0 in N 3.727 * [backup-simplify]: Simplify 1.0 into 1.0 3.727 * [taylor]: Taking taylor expansion of N in N 3.727 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify 1 into 1 3.728 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.729 * [backup-simplify]: Simplify (+ 0 0) into 0 3.729 * [backup-simplify]: Simplify (- 0) into 0 3.729 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.732 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.732 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.732 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.733 * [backup-simplify]: Simplify (* 1 1) into 1 3.734 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.735 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.735 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.736 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.736 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.738 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.739 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.739 * [backup-simplify]: Simplify (+ 0 0) into 0 3.740 * [backup-simplify]: Simplify (- 0) into 0 3.740 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.742 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.743 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.743 * [backup-simplify]: Simplify (+ 0 0) into 0 3.744 * [backup-simplify]: Simplify (- 0) into 0 3.744 * [backup-simplify]: Simplify 0 into 0 3.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.746 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.748 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.748 * [backup-simplify]: Simplify (+ 0 0) into 0 3.749 * [backup-simplify]: Simplify (- 0) into 0 3.749 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.751 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.753 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.753 * [backup-simplify]: Simplify (+ 0 0) into 0 3.754 * [backup-simplify]: Simplify (- 0) into 0 3.754 * [backup-simplify]: Simplify 0 into 0 3.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.757 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.759 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.759 * [backup-simplify]: Simplify (+ 0 0) into 0 3.760 * [backup-simplify]: Simplify (- 0) into 0 3.760 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.763 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.765 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 3.766 * [backup-simplify]: Simplify (+ 0 0) into 0 3.766 * [backup-simplify]: Simplify (- 0) into 0 3.766 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N)))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.768 * * * [progress]: simplifying candidates 3.772 * [simplify]: Simplifying: (* (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N)))) (exp (/ 0.3333333333333333 (pow N 3)))) (* (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (/ 0.3333333333333333 (pow N 3)))) (log (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (- (/ 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))) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (+ (* (- (* 1.0 (* N N)) (* N 0.5)) (pow N 3)) (* (* N (* N N)) 0.3333333333333333)) (* (* N (* 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) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 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))) 0.3333333333333333)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (pow N 3)) (+ (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (+ (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (- (* (- 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1.0 N) (/ 0.5 (* N N)))) (- (* 1.0 (* N N)) (* N 0.5)) (* N (* N N)) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N 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))) (- (+ (* 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)))) 3.778 * * [simplify]: Extracting # 0 : cost 0 3.779 * * [simplify]: Extracting # 1 : cost 0 3.779 * * [simplify]: Extracting # 2 : cost 0 3.780 * * [simplify]: Extracting # 3 : cost 0 3.781 * * [simplify]: Extracting # 4 : cost 0 3.781 * * [simplify]: Extracting # 5 : cost 0 3.782 * * [simplify]: Extracting # 6 : cost 0 3.782 * * [simplify]: iteration 0 : 210 enodes (cost 1847 ) 3.903 * * [simplify]: Extracting # 0 : cost 0 3.905 * * [simplify]: Extracting # 1 : cost 0 3.906 * * [simplify]: Extracting # 2 : cost 0 3.907 * * [simplify]: Extracting # 3 : cost 0 3.908 * * [simplify]: Extracting # 4 : cost 0 3.910 * * [simplify]: Extracting # 5 : cost 0 3.911 * * [simplify]: iteration 1 : 534 enodes (cost 1627 ) 5.137 * * [simplify]: Extracting # 0 : cost 0 5.147 * * [simplify]: Extracting # 1 : cost 0 5.159 * * [simplify]: Extracting # 2 : cost 0 5.170 * * [simplify]: Extracting # 3 : cost 0 5.180 * * [simplify]: Extracting # 4 : cost 0 5.191 * * [simplify]: iteration 2 : 3960 enodes (cost 1528 ) 7.976 * * [simplify]: Extracting # 0 : cost 0 7.995 * * [simplify]: Extracting # 1 : cost 0 8.008 * * [simplify]: Extracting # 2 : cost 0 8.020 * * [simplify]: Extracting # 3 : cost 0 8.033 * * [simplify]: iteration done: 5000 enodes (cost 1528 ) 8.035 * [simplify]: Simplified to: (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (log (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 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(/ (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 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow N 2)) (/ 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) (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)) (+ (* (/ 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))) (+ (- (/ 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))) (/ 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))) 8.036 * * * [progress]: adding candidates to table 8.671 * * [progress]: iteration 3 / 4 8.671 * * * [progress]: picking best candidate 8.690 * * * * [pick]: Picked # 8.690 * * * [progress]: localizing error 8.728 * * * [progress]: generating rewritten candidates 8.728 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 8.738 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 8.809 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 8.816 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 8.826 * * * [progress]: generating series expansions 8.827 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 8.827 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 8.827 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 8.827 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 8.827 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.827 * [taylor]: Taking taylor expansion of N in N 8.827 * [backup-simplify]: Simplify 0 into 0 8.827 * [backup-simplify]: Simplify 1 into 1 8.827 * [taylor]: Taking taylor expansion of 1.0 in N 8.827 * [backup-simplify]: Simplify 1.0 into 1.0 8.828 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.829 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.829 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 8.829 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.829 * [taylor]: Taking taylor expansion of N in N 8.829 * [backup-simplify]: Simplify 0 into 0 8.829 * [backup-simplify]: Simplify 1 into 1 8.829 * [taylor]: Taking taylor expansion of 1.0 in N 8.829 * [backup-simplify]: Simplify 1.0 into 1.0 8.829 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.830 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.830 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.831 * [backup-simplify]: Simplify (+ 1 0) into 1 8.836 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 8.837 * [backup-simplify]: Simplify 1.0 into 1.0 8.837 * [backup-simplify]: Simplify (+ 0 0) into 0 8.848 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 8.849 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 8.852 * [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)))) 8.852 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 8.852 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 8.852 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 8.852 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.852 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.852 * [taylor]: Taking taylor expansion of N in N 8.852 * [backup-simplify]: Simplify 0 into 0 8.852 * [backup-simplify]: Simplify 1 into 1 8.852 * [backup-simplify]: Simplify (/ 1 1) into 1 8.853 * [taylor]: Taking taylor expansion of 1.0 in N 8.853 * [backup-simplify]: Simplify 1.0 into 1.0 8.853 * [backup-simplify]: Simplify (+ 1 0) into 1 8.853 * [backup-simplify]: Simplify (log 1) into 0 8.853 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 8.854 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.854 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.854 * [taylor]: Taking taylor expansion of N in N 8.854 * [backup-simplify]: Simplify 0 into 0 8.854 * [backup-simplify]: Simplify 1 into 1 8.854 * [backup-simplify]: Simplify (/ 1 1) into 1 8.854 * [taylor]: Taking taylor expansion of 1.0 in N 8.854 * [backup-simplify]: Simplify 1.0 into 1.0 8.855 * [backup-simplify]: Simplify (+ 1 0) into 1 8.855 * [backup-simplify]: Simplify (log 1) into 0 8.856 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.856 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 8.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.857 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.863 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 8.864 * [backup-simplify]: Simplify 1.0 into 1.0 8.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.865 * [backup-simplify]: Simplify (+ 0 0) into 0 8.877 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 8.877 * [backup-simplify]: Simplify -0.5 into -0.5 8.878 * [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)))) 8.878 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 8.878 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 8.878 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 8.878 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.878 * [taylor]: Taking taylor expansion of 1.0 in N 8.878 * [backup-simplify]: Simplify 1.0 into 1.0 8.878 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.878 * [taylor]: Taking taylor expansion of N in N 8.878 * [backup-simplify]: Simplify 0 into 0 8.878 * [backup-simplify]: Simplify 1 into 1 8.879 * [backup-simplify]: Simplify (/ 1 1) into 1 8.879 * [backup-simplify]: Simplify (- 1) into -1 8.880 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.880 * [backup-simplify]: Simplify (log -1) into (log -1) 8.880 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 8.880 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.880 * [taylor]: Taking taylor expansion of 1.0 in N 8.880 * [backup-simplify]: Simplify 1.0 into 1.0 8.880 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.880 * [taylor]: Taking taylor expansion of N in N 8.880 * [backup-simplify]: Simplify 0 into 0 8.880 * [backup-simplify]: Simplify 1 into 1 8.881 * [backup-simplify]: Simplify (/ 1 1) into 1 8.881 * [backup-simplify]: Simplify (- 1) into -1 8.882 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.882 * [backup-simplify]: Simplify (log -1) into (log -1) 8.883 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 8.884 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 8.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.885 * [backup-simplify]: Simplify (- 0) into 0 8.885 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.893 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 8.893 * [backup-simplify]: Simplify -1.0 into -1.0 8.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.894 * [backup-simplify]: Simplify (- 0) into 0 8.894 * [backup-simplify]: Simplify (+ 0 0) into 0 8.913 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 8.914 * [backup-simplify]: Simplify -0.5 into -0.5 8.915 * [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)))) 8.915 * * * * [progress]: [ 2 / 4 ] generating series at (2) 8.915 * [backup-simplify]: Simplify (- (cbrt (pow (log (+ N 1.0)) 3)) (log N)) into (- (log (+ N 1.0)) (log N)) 8.915 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 8.915 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 8.915 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 8.915 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.915 * [taylor]: Taking taylor expansion of N in N 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 1 into 1 8.915 * [taylor]: Taking taylor expansion of 1.0 in N 8.915 * [backup-simplify]: Simplify 1.0 into 1.0 8.916 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.916 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.916 * [taylor]: Taking taylor expansion of (log N) in N 8.916 * [taylor]: Taking taylor expansion of N in N 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [backup-simplify]: Simplify 1 into 1 8.917 * [backup-simplify]: Simplify (log 1) into 0 8.917 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 8.917 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 8.917 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.917 * [taylor]: Taking taylor expansion of N in N 8.917 * [backup-simplify]: Simplify 0 into 0 8.917 * [backup-simplify]: Simplify 1 into 1 8.917 * [taylor]: Taking taylor expansion of 1.0 in N 8.917 * [backup-simplify]: Simplify 1.0 into 1.0 8.917 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.918 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.918 * [taylor]: Taking taylor expansion of (log N) in N 8.918 * [taylor]: Taking taylor expansion of N in N 8.918 * [backup-simplify]: Simplify 0 into 0 8.918 * [backup-simplify]: Simplify 1 into 1 8.918 * [backup-simplify]: Simplify (log 1) into 0 8.919 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.919 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 8.919 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 8.920 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 8.920 * [backup-simplify]: Simplify (+ 1 0) into 1 8.926 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 8.927 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.928 * [backup-simplify]: Simplify (- 0) into 0 8.928 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.928 * [backup-simplify]: Simplify 1.0 into 1.0 8.929 * [backup-simplify]: Simplify (+ 0 0) into 0 8.939 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 8.942 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.943 * [backup-simplify]: Simplify (- 0) into 0 8.945 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 8.948 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 8.952 * [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))) 8.952 * [backup-simplify]: Simplify (- (cbrt (pow (log (+ (/ 1 N) 1.0)) 3)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 8.952 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 8.952 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 8.952 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 8.952 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.952 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.952 * [taylor]: Taking taylor expansion of N in N 8.952 * [backup-simplify]: Simplify 0 into 0 8.952 * [backup-simplify]: Simplify 1 into 1 8.953 * [backup-simplify]: Simplify (/ 1 1) into 1 8.953 * [taylor]: Taking taylor expansion of 1.0 in N 8.953 * [backup-simplify]: Simplify 1.0 into 1.0 8.953 * [backup-simplify]: Simplify (+ 1 0) into 1 8.954 * [backup-simplify]: Simplify (log 1) into 0 8.954 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.954 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.954 * [taylor]: Taking taylor expansion of N in N 8.954 * [backup-simplify]: Simplify 0 into 0 8.954 * [backup-simplify]: Simplify 1 into 1 8.954 * [backup-simplify]: Simplify (/ 1 1) into 1 8.955 * [backup-simplify]: Simplify (log 1) into 0 8.955 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 8.955 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 8.955 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.955 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.955 * [taylor]: Taking taylor expansion of N in N 8.955 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify 1 into 1 8.955 * [backup-simplify]: Simplify (/ 1 1) into 1 8.955 * [taylor]: Taking taylor expansion of 1.0 in N 8.955 * [backup-simplify]: Simplify 1.0 into 1.0 8.956 * [backup-simplify]: Simplify (+ 1 0) into 1 8.956 * [backup-simplify]: Simplify (log 1) into 0 8.956 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.956 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.956 * [taylor]: Taking taylor expansion of N in N 8.956 * [backup-simplify]: Simplify 0 into 0 8.956 * [backup-simplify]: Simplify 1 into 1 8.957 * [backup-simplify]: Simplify (/ 1 1) into 1 8.957 * [backup-simplify]: Simplify (log 1) into 0 8.958 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.958 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.958 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 8.958 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 8.958 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.960 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.966 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 8.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.969 * [backup-simplify]: Simplify (- 0) into 0 8.969 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.970 * [backup-simplify]: Simplify 1.0 into 1.0 8.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.971 * [backup-simplify]: Simplify (+ 0 0) into 0 8.983 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 8.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.987 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.987 * [backup-simplify]: Simplify (- 0) into 0 8.988 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 8.988 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.990 * [backup-simplify]: Simplify (+ 0 0) into 0 9.008 * [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 9.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.015 * [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 9.016 * [backup-simplify]: Simplify (- 0) into 0 9.016 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.016 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.018 * [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)))) 9.019 * [backup-simplify]: Simplify (- (cbrt (pow (log (+ (/ 1 (- N)) 1.0)) 3)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 9.019 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 9.019 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 9.019 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 9.019 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.019 * [taylor]: Taking taylor expansion of 1.0 in N 9.019 * [backup-simplify]: Simplify 1.0 into 1.0 9.019 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.019 * [taylor]: Taking taylor expansion of N in N 9.019 * [backup-simplify]: Simplify 0 into 0 9.019 * [backup-simplify]: Simplify 1 into 1 9.020 * [backup-simplify]: Simplify (/ 1 1) into 1 9.020 * [backup-simplify]: Simplify (- 1) into -1 9.020 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.021 * [backup-simplify]: Simplify (log -1) into (log -1) 9.021 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 9.021 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.021 * [taylor]: Taking taylor expansion of -1 in N 9.021 * [backup-simplify]: Simplify -1 into -1 9.021 * [taylor]: Taking taylor expansion of N in N 9.021 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify 1 into 1 9.022 * [backup-simplify]: Simplify (/ -1 1) into -1 9.022 * [backup-simplify]: Simplify (log -1) into (log -1) 9.022 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 9.022 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 9.022 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.022 * [taylor]: Taking taylor expansion of 1.0 in N 9.022 * [backup-simplify]: Simplify 1.0 into 1.0 9.022 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.022 * [taylor]: Taking taylor expansion of N in N 9.022 * [backup-simplify]: Simplify 0 into 0 9.023 * [backup-simplify]: Simplify 1 into 1 9.023 * [backup-simplify]: Simplify (/ 1 1) into 1 9.023 * [backup-simplify]: Simplify (- 1) into -1 9.024 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.024 * [backup-simplify]: Simplify (log -1) into (log -1) 9.024 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 9.024 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.024 * [taylor]: Taking taylor expansion of -1 in N 9.024 * [backup-simplify]: Simplify -1 into -1 9.024 * [taylor]: Taking taylor expansion of N in N 9.024 * [backup-simplify]: Simplify 0 into 0 9.024 * [backup-simplify]: Simplify 1 into 1 9.025 * [backup-simplify]: Simplify (/ -1 1) into -1 9.025 * [backup-simplify]: Simplify (log -1) into (log -1) 9.027 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.028 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.028 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 9.029 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 9.029 * [backup-simplify]: Simplify 0 into 0 9.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.030 * [backup-simplify]: Simplify (- 0) into 0 9.030 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.038 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 9.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.040 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 9.041 * [backup-simplify]: Simplify (- 0) into 0 9.041 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 9.042 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 9.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.043 * [backup-simplify]: Simplify (- 0) into 0 9.043 * [backup-simplify]: Simplify (+ 0 0) into 0 9.056 * [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 9.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.060 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 9.060 * [backup-simplify]: Simplify (- 0) into 0 9.061 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 9.061 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.063 * [backup-simplify]: Simplify (- 0) into 0 9.063 * [backup-simplify]: Simplify (+ 0 0) into 0 9.092 * [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 9.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.099 * [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 9.099 * [backup-simplify]: Simplify (- 0) into 0 9.100 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 9.100 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 9.102 * [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)))) 9.102 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 9.103 * [backup-simplify]: Simplify (pow (log (+ N 1.0)) 3) into (pow (log (+ N 1.0)) 3) 9.103 * [approximate]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in (N) around 0 9.103 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 9.103 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 9.103 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.103 * [taylor]: Taking taylor expansion of N in N 9.103 * [backup-simplify]: Simplify 0 into 0 9.103 * [backup-simplify]: Simplify 1 into 1 9.103 * [taylor]: Taking taylor expansion of 1.0 in N 9.103 * [backup-simplify]: Simplify 1.0 into 1.0 9.104 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.104 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.104 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 9.104 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 9.104 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.104 * [taylor]: Taking taylor expansion of N in N 9.104 * [backup-simplify]: Simplify 0 into 0 9.104 * [backup-simplify]: Simplify 1 into 1 9.104 * [taylor]: Taking taylor expansion of 1.0 in N 9.104 * [backup-simplify]: Simplify 1.0 into 1.0 9.105 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.105 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.106 * [backup-simplify]: Simplify (* (log 1.0) (log 1.0)) into (pow (log 1.0) 2) 9.109 * [backup-simplify]: Simplify (* (log 1.0) (pow (log 1.0) 2)) into (pow (log 1.0) 3) 9.110 * [backup-simplify]: Simplify (pow (log 1.0) 3) into (pow (log 1.0) 3) 9.110 * [backup-simplify]: Simplify (+ 1 0) into 1 9.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 9.118 * [backup-simplify]: Simplify (+ (* (log 1.0) 1.0) (* 1.0 (log 1.0))) into (* 2.0 (log 1.0)) 9.123 * [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)) 9.126 * [backup-simplify]: Simplify (* 3.0 (pow (log 1.0) 2)) into (* 3.0 (pow (log 1.0) 2)) 9.127 * [backup-simplify]: Simplify (+ 0 0) into 0 9.140 * [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)) 9.148 * [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))) 9.160 * [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)))) 9.167 * [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)))) 9.175 * [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)))) 9.176 * [backup-simplify]: Simplify (pow (log (+ (/ 1 N) 1.0)) 3) into (pow (log (+ (/ 1 N) 1.0)) 3) 9.176 * [approximate]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in (N) around 0 9.176 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 9.176 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 9.176 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.176 * [taylor]: Taking taylor expansion of N in N 9.176 * [backup-simplify]: Simplify 0 into 0 9.176 * [backup-simplify]: Simplify 1 into 1 9.177 * [backup-simplify]: Simplify (/ 1 1) into 1 9.177 * [taylor]: Taking taylor expansion of 1.0 in N 9.177 * [backup-simplify]: Simplify 1.0 into 1.0 9.177 * [backup-simplify]: Simplify (+ 1 0) into 1 9.177 * [backup-simplify]: Simplify (log 1) into 0 9.178 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.178 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 9.178 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 9.178 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.178 * [taylor]: Taking taylor expansion of N in N 9.178 * [backup-simplify]: Simplify 0 into 0 9.178 * [backup-simplify]: Simplify 1 into 1 9.178 * [backup-simplify]: Simplify (/ 1 1) into 1 9.178 * [taylor]: Taking taylor expansion of 1.0 in N 9.178 * [backup-simplify]: Simplify 1.0 into 1.0 9.179 * [backup-simplify]: Simplify (+ 1 0) into 1 9.179 * [backup-simplify]: Simplify (log 1) into 0 9.180 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.180 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.181 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.181 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.181 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 9.181 * [backup-simplify]: Simplify (* (- (log N)) (pow (log N) 2)) into (* -1 (pow (log N) 3)) 9.182 * [backup-simplify]: Simplify (* -1 (pow (log N) 3)) into (* -1 (pow (log N) 3)) 9.182 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.183 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.185 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.191 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 9.192 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.192 * [backup-simplify]: Simplify (+ (* (- (log N)) 1.0) (* 1.0 (- (log N)))) into (- (* 2.0 (log N))) 9.192 * [backup-simplify]: Simplify (+ (* (- (log N)) (- (* 2.0 (log N)))) (* 1.0 (pow (log N) 2))) into (* 3.0 (pow (log N) 2)) 9.193 * [backup-simplify]: Simplify (* 3.0 (pow (log N) 2)) into (* 3.0 (pow (log N) 2)) 9.193 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.194 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.195 * [backup-simplify]: Simplify (+ 0 0) into 0 9.207 * [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 9.207 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.208 * [backup-simplify]: Simplify (+ (* (- (log N)) -0.5) (+ (* 1.0 1.0) (* -0.5 (- (log N))))) into (+ 1.0 (* 1.0 (log N))) 9.209 * [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)))) 9.209 * [backup-simplify]: Simplify (- (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N)))) into (- (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N)))) 9.211 * [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)))))) 9.211 * [backup-simplify]: Simplify (pow (log (+ (/ 1 (- N)) 1.0)) 3) into (pow (log (- 1.0 (/ 1 N))) 3) 9.211 * [approximate]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in (N) around 0 9.211 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 9.211 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 9.211 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.211 * [taylor]: Taking taylor expansion of 1.0 in N 9.211 * [backup-simplify]: Simplify 1.0 into 1.0 9.211 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.211 * [taylor]: Taking taylor expansion of N in N 9.211 * [backup-simplify]: Simplify 0 into 0 9.211 * [backup-simplify]: Simplify 1 into 1 9.212 * [backup-simplify]: Simplify (/ 1 1) into 1 9.212 * [backup-simplify]: Simplify (- 1) into -1 9.213 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.213 * [backup-simplify]: Simplify (log -1) into (log -1) 9.214 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.214 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 9.214 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 9.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.215 * [taylor]: Taking taylor expansion of 1.0 in N 9.215 * [backup-simplify]: Simplify 1.0 into 1.0 9.215 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.215 * [taylor]: Taking taylor expansion of N in N 9.215 * [backup-simplify]: Simplify 0 into 0 9.215 * [backup-simplify]: Simplify 1 into 1 9.215 * [backup-simplify]: Simplify (/ 1 1) into 1 9.216 * [backup-simplify]: Simplify (- 1) into -1 9.216 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.216 * [backup-simplify]: Simplify (log -1) into (log -1) 9.217 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.218 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.219 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.220 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.221 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 9.222 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (pow (- (log -1) (log N)) 2)) into (pow (- (log -1) (log N)) 3) 9.223 * [backup-simplify]: Simplify (pow (- (log -1) (log N)) 3) into (pow (- (log -1) (log N)) 3) 9.224 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.224 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.226 * [backup-simplify]: Simplify (- 0) into 0 9.226 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.233 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 9.234 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.244 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1.0) (* -1.0 (- (log -1) (log N)))) into (- (* 2.0 (log N)) (* 2.0 (log -1))) 9.246 * [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)))) 9.249 * [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)))) 9.251 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.252 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.254 * [backup-simplify]: Simplify (- 0) into 0 9.254 * [backup-simplify]: Simplify (+ 0 0) into 0 9.268 * [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 9.269 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.270 * [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))) 9.274 * [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))))) 9.277 * [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))))) 9.286 * [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))))))))) 9.286 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 9.287 * [backup-simplify]: Simplify (cbrt (pow (log (+ N 1.0)) 3)) into (log (+ N 1.0)) 9.287 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 9.287 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 9.287 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.287 * [taylor]: Taking taylor expansion of N in N 9.287 * [backup-simplify]: Simplify 0 into 0 9.287 * [backup-simplify]: Simplify 1 into 1 9.287 * [taylor]: Taking taylor expansion of 1.0 in N 9.287 * [backup-simplify]: Simplify 1.0 into 1.0 9.288 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.288 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.288 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 9.288 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.288 * [taylor]: Taking taylor expansion of N in N 9.288 * [backup-simplify]: Simplify 0 into 0 9.288 * [backup-simplify]: Simplify 1 into 1 9.288 * [taylor]: Taking taylor expansion of 1.0 in N 9.288 * [backup-simplify]: Simplify 1.0 into 1.0 9.289 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.289 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.290 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.290 * [backup-simplify]: Simplify (+ 1 0) into 1 9.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 9.296 * [backup-simplify]: Simplify 1.0 into 1.0 9.296 * [backup-simplify]: Simplify (+ 0 0) into 0 9.307 * [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)) 9.308 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 9.310 * [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)))) 9.311 * [backup-simplify]: Simplify (cbrt (pow (log (+ (/ 1 N) 1.0)) 3)) into (log (+ (/ 1 N) 1.0)) 9.311 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 9.311 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 9.311 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.311 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.311 * [taylor]: Taking taylor expansion of N in N 9.311 * [backup-simplify]: Simplify 0 into 0 9.311 * [backup-simplify]: Simplify 1 into 1 9.311 * [backup-simplify]: Simplify (/ 1 1) into 1 9.311 * [taylor]: Taking taylor expansion of 1.0 in N 9.311 * [backup-simplify]: Simplify 1.0 into 1.0 9.312 * [backup-simplify]: Simplify (+ 1 0) into 1 9.312 * [backup-simplify]: Simplify (log 1) into 0 9.312 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 9.312 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.312 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.312 * [taylor]: Taking taylor expansion of N in N 9.312 * [backup-simplify]: Simplify 0 into 0 9.312 * [backup-simplify]: Simplify 1 into 1 9.313 * [backup-simplify]: Simplify (/ 1 1) into 1 9.313 * [taylor]: Taking taylor expansion of 1.0 in N 9.313 * [backup-simplify]: Simplify 1.0 into 1.0 9.313 * [backup-simplify]: Simplify (+ 1 0) into 1 9.314 * [backup-simplify]: Simplify (log 1) into 0 9.314 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.314 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 9.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.316 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.323 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 9.323 * [backup-simplify]: Simplify 1.0 into 1.0 9.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.324 * [backup-simplify]: Simplify (+ 0 0) into 0 9.337 * [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 9.337 * [backup-simplify]: Simplify -0.5 into -0.5 9.337 * [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)))) 9.338 * [backup-simplify]: Simplify (cbrt (pow (log (+ (/ 1 (- N)) 1.0)) 3)) into (log (- 1.0 (/ 1 N))) 9.338 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 9.338 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 9.338 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.338 * [taylor]: Taking taylor expansion of 1.0 in N 9.338 * [backup-simplify]: Simplify 1.0 into 1.0 9.338 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.338 * [taylor]: Taking taylor expansion of N in N 9.338 * [backup-simplify]: Simplify 0 into 0 9.338 * [backup-simplify]: Simplify 1 into 1 9.338 * [backup-simplify]: Simplify (/ 1 1) into 1 9.339 * [backup-simplify]: Simplify (- 1) into -1 9.339 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.340 * [backup-simplify]: Simplify (log -1) into (log -1) 9.340 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 9.340 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.340 * [taylor]: Taking taylor expansion of 1.0 in N 9.340 * [backup-simplify]: Simplify 1.0 into 1.0 9.340 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.340 * [taylor]: Taking taylor expansion of N in N 9.340 * [backup-simplify]: Simplify 0 into 0 9.340 * [backup-simplify]: Simplify 1 into 1 9.340 * [backup-simplify]: Simplify (/ 1 1) into 1 9.341 * [backup-simplify]: Simplify (- 1) into -1 9.341 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.342 * [backup-simplify]: Simplify (log -1) into (log -1) 9.343 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.343 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 9.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.344 * [backup-simplify]: Simplify (- 0) into 0 9.345 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.352 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 9.352 * [backup-simplify]: Simplify -1.0 into -1.0 9.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.353 * [backup-simplify]: Simplify (- 0) into 0 9.354 * [backup-simplify]: Simplify (+ 0 0) into 0 9.367 * [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 9.367 * [backup-simplify]: Simplify -0.5 into -0.5 9.368 * [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)))) 9.368 * * * [progress]: simplifying candidates 9.371 * [simplify]: Simplifying: (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (exp (cbrt (pow (log (+ N 1.0)) 3))) N) (log (- (cbrt (pow (log (+ N 1.0)) 3)) (log N))) (exp (- (cbrt (pow (log (+ N 1.0)) 3)) (log N))) (* (cbrt (- (cbrt (pow (log (+ N 1.0)) 3)) (log N))) (cbrt (- (cbrt (pow (log (+ N 1.0)) 3)) (log N)))) (cbrt (- (cbrt (pow (log (+ N 1.0)) 3)) (log N))) (* (* (- (cbrt (pow (log (+ N 1.0)) 3)) (log N)) (- (cbrt (pow (log (+ N 1.0)) 3)) (log N))) (- (cbrt (pow (log (+ N 1.0)) 3)) (log N))) (sqrt (- (cbrt (pow (log (+ N 1.0)) 3)) (log N))) (sqrt (- (cbrt (pow (log (+ N 1.0)) 3)) (log N))) (- (pow (cbrt (pow (log (+ N 1.0)) 3)) 3) (pow (log N) 3)) (+ (* (cbrt (pow (log (+ N 1.0)) 3)) (cbrt (pow (log (+ N 1.0)) 3))) (+ (* (log N) (log N)) (* (cbrt (pow (log (+ N 1.0)) 3)) (log N)))) (- (log N)) (- (* (cbrt (pow (log (+ N 1.0)) 3)) (cbrt (pow (log (+ N 1.0)) 3))) (* (log N) (log N))) (+ (cbrt (pow (log (+ N 1.0)) 3)) (log N)) (+ (cbrt (pow (sqrt (log (+ N 1.0))) 3)) (sqrt (log N))) (- (cbrt (pow (sqrt (log (+ N 1.0))) 3)) (sqrt (log N))) (+ (cbrt (pow (sqrt (log (+ N 1.0))) 3)) (sqrt (log N))) (- (cbrt (pow (sqrt (log (+ N 1.0))) 3)) (sqrt (log N))) (+ (cbrt (sqrt (pow (log (+ N 1.0)) 3))) (sqrt (log N))) (- (cbrt (sqrt (pow (log (+ N 1.0)) 3))) (sqrt (log N))) (+ (cbrt (pow (log (+ N 1.0)) (/ 3 2))) (sqrt (log N))) (- (cbrt (pow (log (+ N 1.0)) (/ 3 2))) (sqrt (log N))) (+ (sqrt (cbrt (pow (log (+ N 1.0)) 3))) (sqrt (log N))) (- (sqrt (cbrt (pow (log (+ N 1.0)) 3))) (sqrt (log N))) (- (cbrt (pow (log (+ N 1.0)) 3)) (log N)) (- (cbrt (pow (log (+ N 1.0)) 3)) (log N)) (- (cbrt (pow (log (+ N 1.0)) 3)) (log (* (cbrt N) (cbrt N)))) (- (cbrt (pow (log (+ N 1.0)) 3)) (log (sqrt N))) (- (cbrt (pow (log (+ N 1.0)) 3)) (log 1)) (- (log N)) (* (log (log (+ N 1.0))) 3) (* (log (log (+ N 1.0))) 3) (* 1 3) (pow (log (+ N 1.0)) (* (cbrt 3) (cbrt 3))) (pow (log (+ N 1.0)) (sqrt 3)) (pow (log (+ N 1.0)) 1) (pow 1 3) (pow (log (+ N 1.0)) 3) (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (pow 1 3) (pow (log (+ N 1.0)) 3) (* (log (+ N 1.0)) (log (+ N 1.0))) (log (pow (log (+ N 1.0)) 3)) (exp (pow (log (+ N 1.0)) 3)) (* (cbrt (pow (log (+ N 1.0)) 3)) (cbrt (pow (log (+ N 1.0)) 3))) (cbrt (pow (log (+ N 1.0)) 3)) (* (* (pow (log (+ N 1.0)) 3) (pow (log (+ N 1.0)) 3)) (pow (log (+ N 1.0)) 3)) (pow 1 3) (pow (log (+ N 1.0)) 3) (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (pow 1 3) (pow (log (+ N 1.0)) 3) (* (log (+ N 1.0)) (log (+ N 1.0))) (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log (+ N 1.0)) 3)) (pow (log (+ N 1.0)) (/ 3 2)) (pow (log (+ N 1.0)) (/ 3 2)) (log (cbrt (pow (log (+ N 1.0)) 3))) (exp (cbrt (pow (log (+ N 1.0)) 3))) (cbrt (pow 1 3)) (cbrt (pow (log (+ N 1.0)) 3)) (cbrt (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3)) (cbrt (pow (cbrt (log (+ N 1.0))) 3)) (cbrt (pow (sqrt (log (+ N 1.0))) 3)) (cbrt (pow (sqrt (log (+ N 1.0))) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (+ N 1.0)) 3)) (cbrt (* (log (+ N 1.0)) (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (cbrt (* (cbrt (pow (log (+ N 1.0)) 3)) (cbrt (pow (log (+ N 1.0)) 3)))) (cbrt (cbrt (pow (log (+ N 1.0)) 3))) (cbrt (pow 1 3)) (cbrt (pow (log (+ N 1.0)) 3)) (cbrt (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3)) (cbrt (pow (cbrt (log (+ N 1.0))) 3)) (cbrt (pow (sqrt (log (+ N 1.0))) 3)) (cbrt (pow (sqrt (log (+ N 1.0))) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (+ N 1.0)) 3)) (cbrt (log (+ N 1.0))) (cbrt (* (log (+ N 1.0)) (log (+ N 1.0)))) (cbrt (sqrt (pow (log (+ N 1.0)) 3))) (cbrt (sqrt (pow (log (+ N 1.0)) 3))) (cbrt 1) (cbrt (pow (log (+ N 1.0)) 3)) (cbrt (pow (log (+ N 1.0)) (/ 3 2))) (cbrt (pow (log (+ N 1.0)) (/ 3 2))) (* (cbrt (cbrt (pow (log (+ N 1.0)) 3))) (cbrt (cbrt (pow (log (+ N 1.0)) 3)))) (cbrt (cbrt (pow (log (+ N 1.0)) 3))) (* (* (cbrt (pow (log (+ N 1.0)) 3)) (cbrt (pow (log (+ N 1.0)) 3))) (cbrt (pow (log (+ N 1.0)) 3))) (sqrt (cbrt (pow (log (+ N 1.0)) 3))) (sqrt (cbrt (pow (log (+ N 1.0)) 3))) (- (+ (* 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)))) (- (+ (* 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)))) (- (* 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)))))) (- (+ (* 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))))))))) (- (+ (* 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)))) 9.375 * * [simplify]: Extracting # 0 : cost 0 9.376 * * [simplify]: Extracting # 1 : cost 0 9.376 * * [simplify]: Extracting # 2 : cost 0 9.376 * * [simplify]: Extracting # 3 : cost 0 9.377 * * [simplify]: Extracting # 4 : cost 0 9.377 * * [simplify]: Extracting # 5 : cost 0 9.378 * * [simplify]: Extracting # 6 : cost 0 9.378 * * [simplify]: Extracting # 7 : cost 0 9.379 * * [simplify]: Extracting # 8 : cost 0 9.379 * * [simplify]: Extracting # 9 : cost 0 9.380 * * [simplify]: Extracting # 10 : cost 0 9.380 * * [simplify]: Extracting # 11 : cost 0 9.381 * * [simplify]: Extracting # 12 : cost 0 9.381 * * [simplify]: Extracting # 13 : cost 0 9.382 * * [simplify]: iteration 0 : 203 enodes (cost 1422 ) 9.519 * * [simplify]: Extracting # 0 : cost 0 9.520 * * [simplify]: Extracting # 1 : cost 0 9.522 * * [simplify]: Extracting # 2 : cost 0 9.523 * * [simplify]: Extracting # 3 : cost 0 9.524 * * [simplify]: Extracting # 4 : cost 0 9.525 * * [simplify]: iteration 1 : 556 enodes (cost 1149 ) 10.069 * * [simplify]: Extracting # 0 : cost 0 10.074 * * [simplify]: Extracting # 1 : cost 0 10.082 * * [simplify]: Extracting # 2 : cost 0 10.088 * * [simplify]: Extracting # 3 : cost 0 10.094 * * [simplify]: Extracting # 4 : cost 0 10.101 * * [simplify]: iteration 2 : 2551 enodes (cost 1046 ) 12.182 * * [simplify]: Extracting # 0 : cost 0 12.196 * * [simplify]: Extracting # 1 : cost 0 12.213 * * [simplify]: Extracting # 2 : cost 0 12.225 * * [simplify]: Extracting # 3 : cost 0 12.237 * * [simplify]: Extracting # 4 : cost 0 12.249 * * [simplify]: iteration done: 5002 enodes (cost 1046 ) 12.250 * [simplify]: Simplified to: (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* 1.0 (- 1.0 N)) (* N N))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (cbrt (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))) (/ (+ 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)) (+ (pow (log (+ N 1.0)) 2) (* (log N) (+ (log N) (log (+ N 1.0))))) (- (log N)) (- (pow (log (+ N 1.0)) 2) (* (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))) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (+ (cbrt (sqrt (pow (log (+ N 1.0)) 3))) (sqrt (log N))) (- (cbrt (sqrt (pow (log (+ N 1.0)) 3))) (sqrt (log N))) (+ (cbrt (pow (log (+ N 1.0)) 3/2)) (sqrt (log N))) (- (cbrt (pow (log (+ N 1.0)) 3/2)) (sqrt (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)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log N)) (* (log (log (+ N 1.0))) 3) (* (log (log (+ N 1.0))) 3) 3 (pow (log (+ N 1.0)) (* (cbrt 3) (cbrt 3))) (pow (log (+ N 1.0)) (sqrt 3)) (log (+ N 1.0)) 1 (pow (log (+ N 1.0)) 3) (pow (log (+ N 1.0)) 2) (log (+ N 1.0)) (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) 1 (pow (log (+ N 1.0)) 3) (pow (log (+ N 1.0)) 2) (* (log (log (+ N 1.0))) 3) (exp (pow (log (+ N 1.0)) 3)) (pow (log (+ N 1.0)) 2) (log (+ N 1.0)) (pow (pow (log (+ N 1.0)) 3) 3) 1 (pow (log (+ N 1.0)) 3) (pow (log (+ N 1.0)) 2) (log (+ N 1.0)) (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) 1 (pow (log (+ N 1.0)) 3) (pow (log (+ N 1.0)) 2) (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log (+ N 1.0)) 3)) (pow (log (+ N 1.0)) 3/2) (pow (log (+ N 1.0)) 3/2) (log (log (+ N 1.0))) (+ N 1.0) 1 (log (+ N 1.0)) (cbrt (pow (log (+ N 1.0)) 2)) (cbrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) 1 (log (+ N 1.0)) (cbrt (pow (log (+ N 1.0)) 2)) (cbrt (log (+ N 1.0))) (cbrt (pow (log (+ N 1.0)) 2)) (cbrt (log (+ N 1.0))) 1 (log (+ N 1.0)) (cbrt (pow (log (+ N 1.0)) 2)) (cbrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) 1 (log (+ N 1.0)) (cbrt (log (+ N 1.0))) (cbrt (pow (log (+ N 1.0)) 2)) (cbrt (sqrt (pow (log (+ N 1.0)) 3))) (cbrt (sqrt (pow (log (+ N 1.0)) 3))) 1 (log (+ N 1.0)) (cbrt (pow (log (+ N 1.0)) 3/2)) (cbrt (pow (log (+ N 1.0)) 3/2)) (cbrt (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))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (+ (/ 1.0 N) (log -1)) (+ (/ 0.5 (* N N)) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (* -3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2))) (+ (* 3.0 (+ (* (pow N 2) (log 1.0)) (* N (pow (log 1.0) 2)))) (pow (log 1.0) 3))) (- (/ (* 3.0 (pow (- (log N)) 2)) N) (+ (/ (* 1.5 (pow (- (log N)) 2)) (* N N)) (+ (pow (- (log N)) 3) (* 3.0 (/ (- (log N)) (pow N 2)))))) (- (+ (* 3.0 (+ (/ (pow (log -1) 2) N) (/ (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))))))))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (+ (/ 1.0 N) (log -1)) (+ (/ 0.5 (* N N)) (log (/ -1 N)))) 12.252 * * * [progress]: adding candidates to table 12.743 * * [progress]: iteration 4 / 4 12.744 * * * [progress]: picking best candidate 12.751 * * * * [pick]: Picked # 12.751 * * * [progress]: localizing error 12.813 * * * [progress]: generating rewritten candidates 12.813 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 13.221 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 13.363 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 14.668 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2 1) 14.727 * * * [progress]: generating series expansions 14.727 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 14.728 * [backup-simplify]: Simplify (/ (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N))))) into (/ (- (* 1.0 (/ 1 (pow N 3))) (* 0.125 (/ 1 (pow N 6)))) (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4)))))) 14.729 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 (pow N 3))) (* 0.125 (/ 1 (pow N 6)))) (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4)))))) in (N) around 0 14.729 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 (pow N 3))) (* 0.125 (/ 1 (pow N 6)))) (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4)))))) in N 14.729 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow N 3))) (* 0.125 (/ 1 (pow N 6)))) in N 14.729 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow N 3))) in N 14.729 * [taylor]: Taking taylor expansion of 1.0 in N 14.729 * [backup-simplify]: Simplify 1.0 into 1.0 14.729 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 14.729 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.729 * [taylor]: Taking taylor expansion of N in N 14.729 * [backup-simplify]: Simplify 0 into 0 14.729 * [backup-simplify]: Simplify 1 into 1 14.730 * [backup-simplify]: Simplify (* 1 1) into 1 14.731 * [backup-simplify]: Simplify (* 1 1) into 1 14.731 * [backup-simplify]: Simplify (/ 1 1) into 1 14.731 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow N 6))) in N 14.731 * [taylor]: Taking taylor expansion of 0.125 in N 14.731 * [backup-simplify]: Simplify 0.125 into 0.125 14.731 * [taylor]: Taking taylor expansion of (/ 1 (pow N 6)) in N 14.731 * [taylor]: Taking taylor expansion of (pow N 6) in N 14.731 * [taylor]: Taking taylor expansion of N in N 14.731 * [backup-simplify]: Simplify 0 into 0 14.731 * [backup-simplify]: Simplify 1 into 1 14.732 * [backup-simplify]: Simplify (* 1 1) into 1 14.732 * [backup-simplify]: Simplify (* 1 1) into 1 14.733 * [backup-simplify]: Simplify (* 1 1) into 1 14.733 * [backup-simplify]: Simplify (/ 1 1) into 1 14.733 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) in N 14.733 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 3))) in N 14.733 * [taylor]: Taking taylor expansion of 0.5 in N 14.733 * [backup-simplify]: Simplify 0.5 into 0.5 14.733 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 14.733 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.733 * [taylor]: Taking taylor expansion of N in N 14.733 * [backup-simplify]: Simplify 0 into 0 14.733 * [backup-simplify]: Simplify 1 into 1 14.734 * [backup-simplify]: Simplify (* 1 1) into 1 14.734 * [backup-simplify]: Simplify (* 1 1) into 1 14.734 * [backup-simplify]: Simplify (/ 1 1) into 1 14.734 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4)))) in N 14.734 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow N 2))) in N 14.734 * [taylor]: Taking taylor expansion of 1.0 in N 14.734 * [backup-simplify]: Simplify 1.0 into 1.0 14.734 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 14.734 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.734 * [taylor]: Taking taylor expansion of N in N 14.735 * [backup-simplify]: Simplify 0 into 0 14.735 * [backup-simplify]: Simplify 1 into 1 14.735 * [backup-simplify]: Simplify (* 1 1) into 1 14.735 * [backup-simplify]: Simplify (/ 1 1) into 1 14.735 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow N 4))) in N 14.735 * [taylor]: Taking taylor expansion of 0.25 in N 14.735 * [backup-simplify]: Simplify 0.25 into 0.25 14.735 * [taylor]: Taking taylor expansion of (/ 1 (pow N 4)) in N 14.735 * [taylor]: Taking taylor expansion of (pow N 4) in N 14.736 * [taylor]: Taking taylor expansion of N in N 14.736 * [backup-simplify]: Simplify 0 into 0 14.736 * [backup-simplify]: Simplify 1 into 1 14.736 * [backup-simplify]: Simplify (* 1 1) into 1 14.736 * [backup-simplify]: Simplify (* 1 1) into 1 14.737 * [backup-simplify]: Simplify (/ 1 1) into 1 14.737 * [backup-simplify]: Simplify (* 0.125 1) into 0.125 14.737 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 14.738 * [backup-simplify]: Simplify (+ 0 (- 0.125)) into (- 0.125) 14.739 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 14.739 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 14.740 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 14.740 * [backup-simplify]: Simplify (/ (- 0.125) 0.25) into -0.5 14.740 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 (pow N 3))) (* 0.125 (/ 1 (pow N 6)))) (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4)))))) in N 14.740 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow N 3))) (* 0.125 (/ 1 (pow N 6)))) in N 14.740 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow N 3))) in N 14.741 * [taylor]: Taking taylor expansion of 1.0 in N 14.741 * [backup-simplify]: Simplify 1.0 into 1.0 14.741 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 14.741 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.741 * [taylor]: Taking taylor expansion of N in N 14.741 * [backup-simplify]: Simplify 0 into 0 14.741 * [backup-simplify]: Simplify 1 into 1 14.741 * [backup-simplify]: Simplify (* 1 1) into 1 14.741 * [backup-simplify]: Simplify (* 1 1) into 1 14.742 * [backup-simplify]: Simplify (/ 1 1) into 1 14.742 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow N 6))) in N 14.742 * [taylor]: Taking taylor expansion of 0.125 in N 14.742 * [backup-simplify]: Simplify 0.125 into 0.125 14.742 * [taylor]: Taking taylor expansion of (/ 1 (pow N 6)) in N 14.742 * [taylor]: Taking taylor expansion of (pow N 6) in N 14.742 * [taylor]: Taking taylor expansion of N in N 14.742 * [backup-simplify]: Simplify 0 into 0 14.742 * [backup-simplify]: Simplify 1 into 1 14.742 * [backup-simplify]: Simplify (* 1 1) into 1 14.743 * [backup-simplify]: Simplify (* 1 1) into 1 14.743 * [backup-simplify]: Simplify (* 1 1) into 1 14.744 * [backup-simplify]: Simplify (/ 1 1) into 1 14.744 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) in N 14.744 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 3))) in N 14.744 * [taylor]: Taking taylor expansion of 0.5 in N 14.744 * [backup-simplify]: Simplify 0.5 into 0.5 14.744 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 14.744 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.744 * [taylor]: Taking taylor expansion of N in N 14.744 * [backup-simplify]: Simplify 0 into 0 14.744 * [backup-simplify]: Simplify 1 into 1 14.744 * [backup-simplify]: Simplify (* 1 1) into 1 14.745 * [backup-simplify]: Simplify (* 1 1) into 1 14.745 * [backup-simplify]: Simplify (/ 1 1) into 1 14.745 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4)))) in N 14.745 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow N 2))) in N 14.745 * [taylor]: Taking taylor expansion of 1.0 in N 14.745 * [backup-simplify]: Simplify 1.0 into 1.0 14.745 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 14.745 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.745 * [taylor]: Taking taylor expansion of N in N 14.745 * [backup-simplify]: Simplify 0 into 0 14.745 * [backup-simplify]: Simplify 1 into 1 14.746 * [backup-simplify]: Simplify (* 1 1) into 1 14.746 * [backup-simplify]: Simplify (/ 1 1) into 1 14.746 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow N 4))) in N 14.746 * [taylor]: Taking taylor expansion of 0.25 in N 14.746 * [backup-simplify]: Simplify 0.25 into 0.25 14.746 * [taylor]: Taking taylor expansion of (/ 1 (pow N 4)) in N 14.746 * [taylor]: Taking taylor expansion of (pow N 4) in N 14.746 * [taylor]: Taking taylor expansion of N in N 14.746 * [backup-simplify]: Simplify 0 into 0 14.746 * [backup-simplify]: Simplify 1 into 1 14.747 * [backup-simplify]: Simplify (* 1 1) into 1 14.747 * [backup-simplify]: Simplify (* 1 1) into 1 14.747 * [backup-simplify]: Simplify (/ 1 1) into 1 14.748 * [backup-simplify]: Simplify (* 0.125 1) into 0.125 14.748 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 14.749 * [backup-simplify]: Simplify (+ 0 (- 0.125)) into (- 0.125) 14.749 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 14.750 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 14.750 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 14.751 * [backup-simplify]: Simplify (/ (- 0.125) 0.25) into -0.5 14.751 * [backup-simplify]: Simplify -0.5 into -0.5 14.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.754 * [backup-simplify]: Simplify (+ (* 0.125 0) (* 0 1)) into 0 14.754 * [backup-simplify]: Simplify (- 0) into 0 14.755 * [backup-simplify]: Simplify (+ 0 0) into 0 14.755 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 14.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.757 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0 14.758 * [backup-simplify]: Simplify (+ 0 0) into 0 14.758 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 14.761 * [backup-simplify]: Simplify (- (/ 0 0.25) (+ (* -0.5 (/ 0.5 0.25)))) into 1.0 14.761 * [backup-simplify]: Simplify 1.0 into 1.0 14.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.765 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 14.765 * [backup-simplify]: Simplify (- 0) into 0 14.766 * [backup-simplify]: Simplify (+ 0 0) into 0 14.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.768 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 14.769 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 14.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.772 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0 14.772 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.773 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 14.777 * [backup-simplify]: Simplify (- (/ 0 0.25) (+ (* -0.5 (/ 1.0 0.25)) (* 1.0 (/ 0.5 0.25)))) into 0 14.777 * [backup-simplify]: Simplify 0 into 0 14.778 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 14.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.782 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.782 * [backup-simplify]: Simplify (- 0) into 0 14.783 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.786 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 14.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.788 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 14.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.792 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.792 * [backup-simplify]: Simplify (+ 0 0) into 0 14.792 * [backup-simplify]: Simplify (+ 0 0) into 0 14.797 * [backup-simplify]: Simplify (- (/ 1.0 0.25) (+ (* -0.5 (/ 0 0.25)) (* 1.0 (/ 1.0 0.25)) (* 0 (/ 0.5 0.25)))) into 0 14.797 * [backup-simplify]: Simplify 0 into 0 14.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.800 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 14.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.805 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.805 * [backup-simplify]: Simplify (- 0) into 0 14.806 * [backup-simplify]: Simplify (+ 0 0) into 0 14.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.809 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.812 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 14.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.817 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.817 * [backup-simplify]: Simplify (+ 0 0) into 0 14.817 * [backup-simplify]: Simplify (+ 0 0) into 0 14.819 * [backup-simplify]: Simplify (- (/ 0 0.25) (+ (* -0.5 (/ 0 0.25)) (* 1.0 (/ 0 0.25)) (* 0 (/ 1.0 0.25)) (* 0 (/ 0.5 0.25)))) into 0 14.819 * [backup-simplify]: Simplify 0 into 0 14.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.822 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 14.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.829 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.830 * [backup-simplify]: Simplify (- 0) into 0 14.830 * [backup-simplify]: Simplify (+ 0 0) into 0 14.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.847 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.850 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.854 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.854 * [backup-simplify]: Simplify (+ 0 0) into 0 14.855 * [backup-simplify]: Simplify (+ 0 0) into 0 14.857 * [backup-simplify]: Simplify (- (/ 0 0.25) (+ (* -0.5 (/ 0 0.25)) (* 1.0 (/ 0 0.25)) (* 0 (/ 0 0.25)) (* 0 (/ 1.0 0.25)) (* 0 (/ 0.5 0.25)))) into 0 14.857 * [backup-simplify]: Simplify 0 into 0 14.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.860 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 14.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 14.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 14.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.867 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 14.867 * [backup-simplify]: Simplify (- 0) into 0 14.867 * [backup-simplify]: Simplify (+ 0 0) into 0 14.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.872 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.875 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 14.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 14.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.880 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 14.880 * [backup-simplify]: Simplify (+ 0 0) into 0 14.880 * [backup-simplify]: Simplify (+ 0 0) into 0 14.882 * [backup-simplify]: Simplify (- (/ 0 0.25) (+ (* -0.5 (/ 0 0.25)) (* 1.0 (/ 0 0.25)) (* 0 (/ 0 0.25)) (* 0 (/ 0 0.25)) (* 0 (/ 1.0 0.25)) (* 0 (/ 0.5 0.25)))) into 0 14.882 * [backup-simplify]: Simplify 0 into 0 14.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.886 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 14.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 14.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 14.891 * [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 14.892 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 14.893 * [backup-simplify]: Simplify (- 0) into 0 14.893 * [backup-simplify]: Simplify (+ 0 0) into 0 14.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 14.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 14.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.898 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 14.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.902 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 14.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 14.905 * [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 14.907 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 14.907 * [backup-simplify]: Simplify (+ 0 0) into 0 14.907 * [backup-simplify]: Simplify (+ 0 0) into 0 14.909 * [backup-simplify]: Simplify (- (/ 0 0.25) (+ (* -0.5 (/ 0 0.25)) (* 1.0 (/ 0 0.25)) (* 0 (/ 0 0.25)) (* 0 (/ 0 0.25)) (* 0 (/ 0 0.25)) (* 0 (/ 1.0 0.25)) (* 0 (/ 0.5 0.25)))) into 0 14.909 * [backup-simplify]: Simplify 0 into 0 14.910 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (* -0.5 (pow (/ 1 N) 2))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 14.911 * [backup-simplify]: Simplify (/ (- (pow (/ 1.0 (/ 1 N)) 3) (pow (/ 0.5 (* (/ 1 N) (/ 1 N))) 3)) (+ (* (/ 1.0 (/ 1 N)) (/ 1.0 (/ 1 N))) (* (/ 0.5 (* (/ 1 N) (/ 1 N))) (+ (/ 0.5 (* (/ 1 N) (/ 1 N))) (/ 1.0 (/ 1 N)))))) into (/ (- (* 1.0 (pow N 3)) (* 0.125 (pow N 6))) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3))))) 14.911 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 (pow N 3)) (* 0.125 (pow N 6))) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3))))) in (N) around 0 14.911 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (pow N 3)) (* 0.125 (pow N 6))) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3))))) in N 14.911 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow N 3)) (* 0.125 (pow N 6))) in N 14.911 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 3)) in N 14.911 * [taylor]: Taking taylor expansion of 1.0 in N 14.911 * [backup-simplify]: Simplify 1.0 into 1.0 14.911 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.911 * [taylor]: Taking taylor expansion of N in N 14.911 * [backup-simplify]: Simplify 0 into 0 14.911 * [backup-simplify]: Simplify 1 into 1 14.911 * [taylor]: Taking taylor expansion of (* 0.125 (pow N 6)) in N 14.911 * [taylor]: Taking taylor expansion of 0.125 in N 14.911 * [backup-simplify]: Simplify 0.125 into 0.125 14.911 * [taylor]: Taking taylor expansion of (pow N 6) in N 14.911 * [taylor]: Taking taylor expansion of N in N 14.911 * [backup-simplify]: Simplify 0 into 0 14.911 * [backup-simplify]: Simplify 1 into 1 14.911 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3)))) in N 14.911 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 2)) in N 14.911 * [taylor]: Taking taylor expansion of 1.0 in N 14.911 * [backup-simplify]: Simplify 1.0 into 1.0 14.911 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.911 * [taylor]: Taking taylor expansion of N in N 14.911 * [backup-simplify]: Simplify 0 into 0 14.911 * [backup-simplify]: Simplify 1 into 1 14.911 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3))) in N 14.911 * [taylor]: Taking taylor expansion of (* 0.25 (pow N 4)) in N 14.911 * [taylor]: Taking taylor expansion of 0.25 in N 14.912 * [backup-simplify]: Simplify 0.25 into 0.25 14.912 * [taylor]: Taking taylor expansion of (pow N 4) in N 14.912 * [taylor]: Taking taylor expansion of N in N 14.912 * [backup-simplify]: Simplify 0 into 0 14.912 * [backup-simplify]: Simplify 1 into 1 14.912 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 3)) in N 14.912 * [taylor]: Taking taylor expansion of 0.5 in N 14.912 * [backup-simplify]: Simplify 0.5 into 0.5 14.912 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.912 * [taylor]: Taking taylor expansion of N in N 14.912 * [backup-simplify]: Simplify 0 into 0 14.912 * [backup-simplify]: Simplify 1 into 1 14.912 * [backup-simplify]: Simplify (* 1 1) into 1 14.913 * [backup-simplify]: Simplify (* 1 1) into 1 14.913 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 14.913 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.914 * [backup-simplify]: Simplify (* 1 1) into 1 14.914 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 14.914 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.915 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 14.915 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (pow N 3)) (* 0.125 (pow N 6))) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3))))) in N 14.915 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow N 3)) (* 0.125 (pow N 6))) in N 14.915 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 3)) in N 14.915 * [taylor]: Taking taylor expansion of 1.0 in N 14.915 * [backup-simplify]: Simplify 1.0 into 1.0 14.915 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.915 * [taylor]: Taking taylor expansion of N in N 14.915 * [backup-simplify]: Simplify 0 into 0 14.915 * [backup-simplify]: Simplify 1 into 1 14.915 * [taylor]: Taking taylor expansion of (* 0.125 (pow N 6)) in N 14.915 * [taylor]: Taking taylor expansion of 0.125 in N 14.915 * [backup-simplify]: Simplify 0.125 into 0.125 14.915 * [taylor]: Taking taylor expansion of (pow N 6) in N 14.915 * [taylor]: Taking taylor expansion of N in N 14.915 * [backup-simplify]: Simplify 0 into 0 14.915 * [backup-simplify]: Simplify 1 into 1 14.915 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3)))) in N 14.915 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 2)) in N 14.915 * [taylor]: Taking taylor expansion of 1.0 in N 14.915 * [backup-simplify]: Simplify 1.0 into 1.0 14.915 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.915 * [taylor]: Taking taylor expansion of N in N 14.915 * [backup-simplify]: Simplify 0 into 0 14.915 * [backup-simplify]: Simplify 1 into 1 14.916 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3))) in N 14.916 * [taylor]: Taking taylor expansion of (* 0.25 (pow N 4)) in N 14.916 * [taylor]: Taking taylor expansion of 0.25 in N 14.916 * [backup-simplify]: Simplify 0.25 into 0.25 14.916 * [taylor]: Taking taylor expansion of (pow N 4) in N 14.916 * [taylor]: Taking taylor expansion of N in N 14.916 * [backup-simplify]: Simplify 0 into 0 14.916 * [backup-simplify]: Simplify 1 into 1 14.916 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 3)) in N 14.916 * [taylor]: Taking taylor expansion of 0.5 in N 14.916 * [backup-simplify]: Simplify 0.5 into 0.5 14.916 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.916 * [taylor]: Taking taylor expansion of N in N 14.916 * [backup-simplify]: Simplify 0 into 0 14.916 * [backup-simplify]: Simplify 1 into 1 14.916 * [backup-simplify]: Simplify (* 1 1) into 1 14.917 * [backup-simplify]: Simplify (* 1 1) into 1 14.917 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 14.917 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.918 * [backup-simplify]: Simplify (* 1 1) into 1 14.918 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 14.918 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.919 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 14.919 * [backup-simplify]: Simplify 1.0 into 1.0 14.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.921 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 14.921 * [backup-simplify]: Simplify (+ 0 0) into 0 14.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.922 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 14.923 * [backup-simplify]: Simplify (* 1 1) into 1 14.923 * [backup-simplify]: Simplify (* 1 1) into 1 14.924 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 14.924 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 14.924 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 14.927 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0.5 1.0)))) into (- 0.5) 14.928 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 14.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.930 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 14.930 * [backup-simplify]: Simplify (+ 0 0) into 0 14.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.932 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 14.932 * [backup-simplify]: Simplify (* 1 1) into 1 14.933 * [backup-simplify]: Simplify (* 1 1) into 1 14.933 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 14.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.935 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 14.935 * [backup-simplify]: Simplify (+ 0.25 0) into 0.25 14.936 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 14.940 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0.25 1.0)) (* (- 0.5) (/ 0.5 1.0)))) into 0 14.940 * [backup-simplify]: Simplify 0 into 0 14.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.943 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.943 * [backup-simplify]: Simplify (* 1 1) into 1 14.944 * [backup-simplify]: Simplify (* 1 1) into 1 14.944 * [backup-simplify]: Simplify (* 1 1) into 1 14.944 * [backup-simplify]: Simplify (* 0.125 1) into 0.125 14.945 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 14.946 * [backup-simplify]: Simplify (+ 0 (- 0.125)) into (- 0.125) 14.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.948 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.949 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0 14.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.952 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 14.952 * [backup-simplify]: Simplify (+ 0 0) into 0 14.953 * [backup-simplify]: Simplify (+ 0 0) into 0 14.959 * [backup-simplify]: Simplify (- (/ (- 0.125) 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 0.5) (/ 0.25 1.0)) (* 0 (/ 0.5 1.0)))) into 0 14.959 * [backup-simplify]: Simplify 0 into 0 14.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.962 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.964 * [backup-simplify]: Simplify (+ (* 0.125 0) (* 0 1)) into 0 14.965 * [backup-simplify]: Simplify (- 0) into 0 14.965 * [backup-simplify]: Simplify (+ 0 0) into 0 14.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.967 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.970 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0 14.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.980 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.981 * [backup-simplify]: Simplify (+ 0 0) into 0 14.981 * [backup-simplify]: Simplify (+ 0 0) into 0 14.983 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 0.5) (/ 0 1.0)) (* 0 (/ 0.25 1.0)) (* 0 (/ 0.5 1.0)))) into 0 14.983 * [backup-simplify]: Simplify 0 into 0 14.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.987 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.990 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 14.990 * [backup-simplify]: Simplify (- 0) into 0 14.991 * [backup-simplify]: Simplify (+ 0 0) into 0 14.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.993 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.996 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.999 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.999 * [backup-simplify]: Simplify (+ 0 0) into 0 15.000 * [backup-simplify]: Simplify (+ 0 0) into 0 15.002 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 0.5) (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0.25 1.0)) (* 0 (/ 0.5 1.0)))) into 0 15.002 * [backup-simplify]: Simplify 0 into 0 15.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.006 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.010 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.010 * [backup-simplify]: Simplify (- 0) into 0 15.011 * [backup-simplify]: Simplify (+ 0 0) into 0 15.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.014 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.017 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.021 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.021 * [backup-simplify]: Simplify (+ 0 0) into 0 15.021 * [backup-simplify]: Simplify (+ 0 0) into 0 15.023 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 0.5) (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0.25 1.0)) (* 0 (/ 0.5 1.0)))) into 0 15.023 * [backup-simplify]: Simplify 0 into 0 15.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.028 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.032 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.032 * [backup-simplify]: Simplify (- 0) into 0 15.032 * [backup-simplify]: Simplify (+ 0 0) into 0 15.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.035 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.039 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.043 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.043 * [backup-simplify]: Simplify (+ 0 0) into 0 15.043 * [backup-simplify]: Simplify (+ 0 0) into 0 15.045 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 0.5) (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0.25 1.0)) (* 0 (/ 0.5 1.0)))) into 0 15.045 * [backup-simplify]: Simplify 0 into 0 15.046 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 15.047 * [backup-simplify]: Simplify (/ (- (pow (/ 1.0 (/ 1 (- N))) 3) (pow (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) 3)) (+ (* (/ 1.0 (/ 1 (- N))) (/ 1.0 (/ 1 (- N)))) (* (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) (+ (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1.0 (/ 1 (- N))))))) into (* -1 (/ (+ (* 1.0 (pow N 3)) (* 0.125 (pow N 6))) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) 15.047 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (* 1.0 (pow N 3)) (* 0.125 (pow N 6))) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) in (N) around 0 15.047 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (* 1.0 (pow N 3)) (* 0.125 (pow N 6))) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) in N 15.047 * [taylor]: Taking taylor expansion of -1 in N 15.048 * [backup-simplify]: Simplify -1 into -1 15.048 * [taylor]: Taking taylor expansion of (/ (+ (* 1.0 (pow N 3)) (* 0.125 (pow N 6))) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3)))) in N 15.048 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 3)) (* 0.125 (pow N 6))) in N 15.048 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 3)) in N 15.048 * [taylor]: Taking taylor expansion of 1.0 in N 15.048 * [backup-simplify]: Simplify 1.0 into 1.0 15.048 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.048 * [taylor]: Taking taylor expansion of N in N 15.048 * [backup-simplify]: Simplify 0 into 0 15.048 * [backup-simplify]: Simplify 1 into 1 15.048 * [taylor]: Taking taylor expansion of (* 0.125 (pow N 6)) in N 15.048 * [taylor]: Taking taylor expansion of 0.125 in N 15.048 * [backup-simplify]: Simplify 0.125 into 0.125 15.048 * [taylor]: Taking taylor expansion of (pow N 6) in N 15.048 * [taylor]: Taking taylor expansion of N in N 15.048 * [backup-simplify]: Simplify 0 into 0 15.048 * [backup-simplify]: Simplify 1 into 1 15.048 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))) in N 15.048 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) in N 15.048 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 2)) in N 15.048 * [taylor]: Taking taylor expansion of 1.0 in N 15.048 * [backup-simplify]: Simplify 1.0 into 1.0 15.048 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.048 * [taylor]: Taking taylor expansion of N in N 15.048 * [backup-simplify]: Simplify 0 into 0 15.048 * [backup-simplify]: Simplify 1 into 1 15.048 * [taylor]: Taking taylor expansion of (* 0.25 (pow N 4)) in N 15.048 * [taylor]: Taking taylor expansion of 0.25 in N 15.048 * [backup-simplify]: Simplify 0.25 into 0.25 15.048 * [taylor]: Taking taylor expansion of (pow N 4) in N 15.048 * [taylor]: Taking taylor expansion of N in N 15.048 * [backup-simplify]: Simplify 0 into 0 15.048 * [backup-simplify]: Simplify 1 into 1 15.048 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 3)) in N 15.048 * [taylor]: Taking taylor expansion of 0.5 in N 15.048 * [backup-simplify]: Simplify 0.5 into 0.5 15.048 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.048 * [taylor]: Taking taylor expansion of N in N 15.049 * [backup-simplify]: Simplify 0 into 0 15.049 * [backup-simplify]: Simplify 1 into 1 15.049 * [backup-simplify]: Simplify (* 1 1) into 1 15.049 * [backup-simplify]: Simplify (* 1 1) into 1 15.050 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 15.050 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.050 * [backup-simplify]: Simplify (* 1 1) into 1 15.051 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 15.051 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.052 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.052 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 15.052 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (* 1.0 (pow N 3)) (* 0.125 (pow N 6))) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) in N 15.052 * [taylor]: Taking taylor expansion of -1 in N 15.052 * [backup-simplify]: Simplify -1 into -1 15.052 * [taylor]: Taking taylor expansion of (/ (+ (* 1.0 (pow N 3)) (* 0.125 (pow N 6))) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3)))) in N 15.052 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 3)) (* 0.125 (pow N 6))) in N 15.052 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 3)) in N 15.052 * [taylor]: Taking taylor expansion of 1.0 in N 15.052 * [backup-simplify]: Simplify 1.0 into 1.0 15.052 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.052 * [taylor]: Taking taylor expansion of N in N 15.052 * [backup-simplify]: Simplify 0 into 0 15.053 * [backup-simplify]: Simplify 1 into 1 15.053 * [taylor]: Taking taylor expansion of (* 0.125 (pow N 6)) in N 15.053 * [taylor]: Taking taylor expansion of 0.125 in N 15.053 * [backup-simplify]: Simplify 0.125 into 0.125 15.053 * [taylor]: Taking taylor expansion of (pow N 6) in N 15.053 * [taylor]: Taking taylor expansion of N in N 15.053 * [backup-simplify]: Simplify 0 into 0 15.053 * [backup-simplify]: Simplify 1 into 1 15.053 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))) in N 15.053 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) in N 15.053 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 2)) in N 15.053 * [taylor]: Taking taylor expansion of 1.0 in N 15.053 * [backup-simplify]: Simplify 1.0 into 1.0 15.053 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.053 * [taylor]: Taking taylor expansion of N in N 15.053 * [backup-simplify]: Simplify 0 into 0 15.053 * [backup-simplify]: Simplify 1 into 1 15.053 * [taylor]: Taking taylor expansion of (* 0.25 (pow N 4)) in N 15.053 * [taylor]: Taking taylor expansion of 0.25 in N 15.053 * [backup-simplify]: Simplify 0.25 into 0.25 15.053 * [taylor]: Taking taylor expansion of (pow N 4) in N 15.053 * [taylor]: Taking taylor expansion of N in N 15.053 * [backup-simplify]: Simplify 0 into 0 15.053 * [backup-simplify]: Simplify 1 into 1 15.053 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 3)) in N 15.053 * [taylor]: Taking taylor expansion of 0.5 in N 15.053 * [backup-simplify]: Simplify 0.5 into 0.5 15.053 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.053 * [taylor]: Taking taylor expansion of N in N 15.053 * [backup-simplify]: Simplify 0 into 0 15.053 * [backup-simplify]: Simplify 1 into 1 15.054 * [backup-simplify]: Simplify (* 1 1) into 1 15.054 * [backup-simplify]: Simplify (* 1 1) into 1 15.054 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 15.055 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.055 * [backup-simplify]: Simplify (* 1 1) into 1 15.055 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 15.056 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.056 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.057 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 15.057 * [backup-simplify]: Simplify (* -1 1.0) into -1.0 15.057 * [backup-simplify]: Simplify -1.0 into -1.0 15.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.059 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 15.059 * [backup-simplify]: Simplify (+ 0 0) into 0 15.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.060 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 15.061 * [backup-simplify]: Simplify (+ 0 0) into 0 15.061 * [backup-simplify]: Simplify (* 1 1) into 1 15.061 * [backup-simplify]: Simplify (* 1 1) into 1 15.062 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.062 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.063 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 15.066 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ (- 0.5) 1.0)))) into 0.5 15.068 * [backup-simplify]: Simplify (+ (* -1 0.5) (* 0 1.0)) into (- 0.5) 15.068 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.072 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 15.073 * [backup-simplify]: Simplify (+ 0 0) into 0 15.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.074 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 15.075 * [backup-simplify]: Simplify (* 1 1) into 1 15.075 * [backup-simplify]: Simplify (* 1 1) into 1 15.076 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 15.076 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 15.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.078 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 15.079 * [backup-simplify]: Simplify (- 0) into 0 15.079 * [backup-simplify]: Simplify (+ 0.25 0) into 0.25 15.085 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0.25 1.0)) (* 0.5 (/ (- 0.5) 1.0)))) into 0 15.086 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.5) (* 0 1.0))) into 0 15.086 * [backup-simplify]: Simplify 0 into 0 15.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.089 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.089 * [backup-simplify]: Simplify (* 1 1) into 1 15.089 * [backup-simplify]: Simplify (* 1 1) into 1 15.090 * [backup-simplify]: Simplify (* 1 1) into 1 15.090 * [backup-simplify]: Simplify (* 0.125 1) into 0.125 15.090 * [backup-simplify]: Simplify (+ 0 0.125) into 0.125 15.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.092 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.094 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0 15.094 * [backup-simplify]: Simplify (+ 0 0) into 0 15.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.097 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 15.097 * [backup-simplify]: Simplify (- 0) into 0 15.098 * [backup-simplify]: Simplify (+ 0 0) into 0 15.103 * [backup-simplify]: Simplify (- (/ 0.125 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0.5 (/ 0.25 1.0)) (* 0 (/ (- 0.5) 1.0)))) into 0 15.104 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0.5) (* 0 1.0)))) into 0 15.104 * [backup-simplify]: Simplify 0 into 0 15.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.108 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.117 * [backup-simplify]: Simplify (+ (* 0.125 0) (* 0 1)) into 0 15.118 * [backup-simplify]: Simplify (+ 0 0) into 0 15.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.120 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.122 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0 15.122 * [backup-simplify]: Simplify (+ 0 0) into 0 15.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.125 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.126 * [backup-simplify]: Simplify (- 0) into 0 15.126 * [backup-simplify]: Simplify (+ 0 0) into 0 15.129 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0.5 (/ 0 1.0)) (* 0 (/ 0.25 1.0)) (* 0 (/ (- 0.5) 1.0)))) into 0 15.130 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (* 0 1.0))))) into 0 15.130 * [backup-simplify]: Simplify 0 into 0 15.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.134 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.137 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 15.138 * [backup-simplify]: Simplify (+ 0 0) into 0 15.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.140 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.143 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.143 * [backup-simplify]: Simplify (+ 0 0) into 0 15.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.146 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.147 * [backup-simplify]: Simplify (- 0) into 0 15.147 * [backup-simplify]: Simplify (+ 0 0) into 0 15.149 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0.5 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0.25 1.0)) (* 0 (/ (- 0.5) 1.0)))) into 0 15.150 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (* 0 1.0)))))) into 0 15.150 * [backup-simplify]: Simplify 0 into 0 15.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.154 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.158 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.159 * [backup-simplify]: Simplify (+ 0 0) into 0 15.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.162 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.165 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.165 * [backup-simplify]: Simplify (+ 0 0) into 0 15.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.169 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.169 * [backup-simplify]: Simplify (- 0) into 0 15.170 * [backup-simplify]: Simplify (+ 0 0) into 0 15.171 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0.5 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0.25 1.0)) (* 0 (/ (- 0.5) 1.0)))) into 0 15.173 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (* 0 1.0))))))) into 0 15.173 * [backup-simplify]: Simplify 0 into 0 15.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.178 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.182 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.183 * [backup-simplify]: Simplify (+ 0 0) into 0 15.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.186 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.189 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.189 * [backup-simplify]: Simplify (+ 0 0) into 0 15.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.193 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.194 * [backup-simplify]: Simplify (- 0) into 0 15.194 * [backup-simplify]: Simplify (+ 0 0) into 0 15.196 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0.5 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0.25 1.0)) (* 0 (/ (- 0.5) 1.0)))) into 0 15.198 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (* 0 1.0)))))))) into 0 15.198 * [backup-simplify]: Simplify 0 into 0 15.199 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N)))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 15.199 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 15.199 * [backup-simplify]: Simplify (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) into (- (* 1.0 (/ 1 (pow N 3))) (* 0.125 (/ 1 (pow N 6)))) 15.199 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow N 3))) (* 0.125 (/ 1 (pow N 6)))) in (N) around 0 15.199 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow N 3))) (* 0.125 (/ 1 (pow N 6)))) in N 15.199 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow N 3))) in N 15.199 * [taylor]: Taking taylor expansion of 1.0 in N 15.199 * [backup-simplify]: Simplify 1.0 into 1.0 15.199 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 15.199 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.199 * [taylor]: Taking taylor expansion of N in N 15.199 * [backup-simplify]: Simplify 0 into 0 15.199 * [backup-simplify]: Simplify 1 into 1 15.200 * [backup-simplify]: Simplify (* 1 1) into 1 15.200 * [backup-simplify]: Simplify (* 1 1) into 1 15.200 * [backup-simplify]: Simplify (/ 1 1) into 1 15.201 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow N 6))) in N 15.201 * [taylor]: Taking taylor expansion of 0.125 in N 15.201 * [backup-simplify]: Simplify 0.125 into 0.125 15.201 * [taylor]: Taking taylor expansion of (/ 1 (pow N 6)) in N 15.201 * [taylor]: Taking taylor expansion of (pow N 6) in N 15.201 * [taylor]: Taking taylor expansion of N in N 15.201 * [backup-simplify]: Simplify 0 into 0 15.201 * [backup-simplify]: Simplify 1 into 1 15.201 * [backup-simplify]: Simplify (* 1 1) into 1 15.201 * [backup-simplify]: Simplify (* 1 1) into 1 15.202 * [backup-simplify]: Simplify (* 1 1) into 1 15.202 * [backup-simplify]: Simplify (/ 1 1) into 1 15.202 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow N 3))) (* 0.125 (/ 1 (pow N 6)))) in N 15.202 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow N 3))) in N 15.202 * [taylor]: Taking taylor expansion of 1.0 in N 15.202 * [backup-simplify]: Simplify 1.0 into 1.0 15.202 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 15.202 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.202 * [taylor]: Taking taylor expansion of N in N 15.202 * [backup-simplify]: Simplify 0 into 0 15.202 * [backup-simplify]: Simplify 1 into 1 15.203 * [backup-simplify]: Simplify (* 1 1) into 1 15.203 * [backup-simplify]: Simplify (* 1 1) into 1 15.203 * [backup-simplify]: Simplify (/ 1 1) into 1 15.203 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow N 6))) in N 15.203 * [taylor]: Taking taylor expansion of 0.125 in N 15.203 * [backup-simplify]: Simplify 0.125 into 0.125 15.203 * [taylor]: Taking taylor expansion of (/ 1 (pow N 6)) in N 15.203 * [taylor]: Taking taylor expansion of (pow N 6) in N 15.203 * [taylor]: Taking taylor expansion of N in N 15.203 * [backup-simplify]: Simplify 0 into 0 15.203 * [backup-simplify]: Simplify 1 into 1 15.204 * [backup-simplify]: Simplify (* 1 1) into 1 15.204 * [backup-simplify]: Simplify (* 1 1) into 1 15.204 * [backup-simplify]: Simplify (* 1 1) into 1 15.205 * [backup-simplify]: Simplify (/ 1 1) into 1 15.205 * [backup-simplify]: Simplify (* 0.125 1) into 0.125 15.206 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 15.206 * [backup-simplify]: Simplify (+ 0 (- 0.125)) into (- 0.125) 15.207 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 15.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.210 * [backup-simplify]: Simplify (+ (* 0.125 0) (* 0 1)) into 0 15.210 * [backup-simplify]: Simplify (- 0) into 0 15.210 * [backup-simplify]: Simplify (+ 0 0) into 0 15.210 * [backup-simplify]: Simplify 0 into 0 15.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.214 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 15.215 * [backup-simplify]: Simplify (- 0) into 0 15.215 * [backup-simplify]: Simplify (+ 0 0) into 0 15.215 * [backup-simplify]: Simplify 0 into 0 15.215 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 15.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.220 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.220 * [backup-simplify]: Simplify (- 0) into 0 15.221 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.221 * [backup-simplify]: Simplify 1.0 into 1.0 15.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.223 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 15.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.228 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.229 * [backup-simplify]: Simplify (- 0) into 0 15.229 * [backup-simplify]: Simplify (+ 0 0) into 0 15.229 * [backup-simplify]: Simplify 0 into 0 15.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.232 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 15.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.238 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.238 * [backup-simplify]: Simplify (- 0) into 0 15.239 * [backup-simplify]: Simplify (+ 0 0) into 0 15.239 * [backup-simplify]: Simplify 0 into 0 15.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.243 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.258 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.259 * [backup-simplify]: Simplify (- 0) into 0 15.259 * [backup-simplify]: Simplify (+ 0 0) into 0 15.259 * [backup-simplify]: Simplify 0 into 0 15.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.263 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.269 * [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 15.270 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.270 * [backup-simplify]: Simplify (- 0) into 0 15.271 * [backup-simplify]: Simplify (+ 0 0) into 0 15.271 * [backup-simplify]: Simplify 0 into 0 15.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.275 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 15.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 15.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 15.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.283 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 15.283 * [backup-simplify]: Simplify (- 0) into 0 15.283 * [backup-simplify]: Simplify (+ 0 0) into 0 15.283 * [backup-simplify]: Simplify 0 into 0 15.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.288 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 15.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 15.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 15.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.296 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 15.297 * [backup-simplify]: Simplify (- 0) into 0 15.297 * [backup-simplify]: Simplify (+ 0 0) into 0 15.297 * [backup-simplify]: Simplify 0 into 0 15.298 * [backup-simplify]: Simplify (+ (* 1.0 (pow (/ 1 N) 3)) (* (- 0.125) (pow (/ 1 N) 6))) into (- (* 1.0 (/ 1 (pow N 3))) (* 0.125 (/ 1 (pow N 6)))) 15.298 * [backup-simplify]: Simplify (- (pow (/ 1.0 (/ 1 N)) 3) (pow (/ 0.5 (* (/ 1 N) (/ 1 N))) 3)) into (- (* 1.0 (pow N 3)) (* 0.125 (pow N 6))) 15.298 * [approximate]: Taking taylor expansion of (- (* 1.0 (pow N 3)) (* 0.125 (pow N 6))) in (N) around 0 15.298 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow N 3)) (* 0.125 (pow N 6))) in N 15.299 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 3)) in N 15.299 * [taylor]: Taking taylor expansion of 1.0 in N 15.299 * [backup-simplify]: Simplify 1.0 into 1.0 15.299 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.299 * [taylor]: Taking taylor expansion of N in N 15.299 * [backup-simplify]: Simplify 0 into 0 15.299 * [backup-simplify]: Simplify 1 into 1 15.299 * [taylor]: Taking taylor expansion of (* 0.125 (pow N 6)) in N 15.299 * [taylor]: Taking taylor expansion of 0.125 in N 15.299 * [backup-simplify]: Simplify 0.125 into 0.125 15.299 * [taylor]: Taking taylor expansion of (pow N 6) in N 15.299 * [taylor]: Taking taylor expansion of N in N 15.299 * [backup-simplify]: Simplify 0 into 0 15.299 * [backup-simplify]: Simplify 1 into 1 15.299 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow N 3)) (* 0.125 (pow N 6))) in N 15.299 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 3)) in N 15.299 * [taylor]: Taking taylor expansion of 1.0 in N 15.299 * [backup-simplify]: Simplify 1.0 into 1.0 15.299 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.299 * [taylor]: Taking taylor expansion of N in N 15.299 * [backup-simplify]: Simplify 0 into 0 15.299 * [backup-simplify]: Simplify 1 into 1 15.299 * [taylor]: Taking taylor expansion of (* 0.125 (pow N 6)) in N 15.299 * [taylor]: Taking taylor expansion of 0.125 in N 15.299 * [backup-simplify]: Simplify 0.125 into 0.125 15.299 * [taylor]: Taking taylor expansion of (pow N 6) in N 15.299 * [taylor]: Taking taylor expansion of N in N 15.299 * [backup-simplify]: Simplify 0 into 0 15.300 * [backup-simplify]: Simplify 1 into 1 15.300 * [backup-simplify]: Simplify (* 1 1) into 1 15.300 * [backup-simplify]: Simplify (* 1 1) into 1 15.301 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 15.301 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.301 * [backup-simplify]: Simplify 1.0 into 1.0 15.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.303 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 15.303 * [backup-simplify]: Simplify (+ 0 0) into 0 15.303 * [backup-simplify]: Simplify 0 into 0 15.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.306 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 15.306 * [backup-simplify]: Simplify (+ 0 0) into 0 15.306 * [backup-simplify]: Simplify 0 into 0 15.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.309 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.309 * [backup-simplify]: Simplify (* 1 1) into 1 15.309 * [backup-simplify]: Simplify (* 1 1) into 1 15.310 * [backup-simplify]: Simplify (* 1 1) into 1 15.310 * [backup-simplify]: Simplify (* 0.125 1) into 0.125 15.311 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 15.311 * [backup-simplify]: Simplify (+ 0 (- 0.125)) into (- 0.125) 15.312 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 15.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.315 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.317 * [backup-simplify]: Simplify (+ (* 0.125 0) (* 0 1)) into 0 15.318 * [backup-simplify]: Simplify (- 0) into 0 15.318 * [backup-simplify]: Simplify (+ 0 0) into 0 15.318 * [backup-simplify]: Simplify 0 into 0 15.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.322 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.325 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 15.325 * [backup-simplify]: Simplify (- 0) into 0 15.325 * [backup-simplify]: Simplify (+ 0 0) into 0 15.325 * [backup-simplify]: Simplify 0 into 0 15.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.329 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.333 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.333 * [backup-simplify]: Simplify (- 0) into 0 15.333 * [backup-simplify]: Simplify (+ 0 0) into 0 15.333 * [backup-simplify]: Simplify 0 into 0 15.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.338 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.342 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.342 * [backup-simplify]: Simplify (- 0) into 0 15.342 * [backup-simplify]: Simplify (+ 0 0) into 0 15.342 * [backup-simplify]: Simplify 0 into 0 15.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 15.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 15.348 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 15.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.353 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.354 * [backup-simplify]: Simplify (- 0) into 0 15.354 * [backup-simplify]: Simplify (+ 0 0) into 0 15.354 * [backup-simplify]: Simplify 0 into 0 15.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 15.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 15.361 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 15.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.367 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.367 * [backup-simplify]: Simplify (- 0) into 0 15.367 * [backup-simplify]: Simplify (+ 0 0) into 0 15.367 * [backup-simplify]: Simplify 0 into 0 15.368 * [backup-simplify]: Simplify (+ (* (- 0.125) (pow (/ 1 N) 6)) (* 1.0 (pow (/ 1 N) 3))) into (- (* 1.0 (/ 1 (pow N 3))) (* 0.125 (/ 1 (pow N 6)))) 15.369 * [backup-simplify]: Simplify (- (pow (/ 1.0 (/ 1 (- N))) 3) (pow (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) 3)) into (- (+ (* 1.0 (pow N 3)) (* 0.125 (pow N 6)))) 15.369 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (pow N 3)) (* 0.125 (pow N 6)))) in (N) around 0 15.369 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (pow N 3)) (* 0.125 (pow N 6)))) in N 15.369 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 3)) (* 0.125 (pow N 6))) in N 15.369 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 3)) in N 15.369 * [taylor]: Taking taylor expansion of 1.0 in N 15.369 * [backup-simplify]: Simplify 1.0 into 1.0 15.369 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.369 * [taylor]: Taking taylor expansion of N in N 15.369 * [backup-simplify]: Simplify 0 into 0 15.369 * [backup-simplify]: Simplify 1 into 1 15.369 * [taylor]: Taking taylor expansion of (* 0.125 (pow N 6)) in N 15.369 * [taylor]: Taking taylor expansion of 0.125 in N 15.369 * [backup-simplify]: Simplify 0.125 into 0.125 15.369 * [taylor]: Taking taylor expansion of (pow N 6) in N 15.369 * [taylor]: Taking taylor expansion of N in N 15.369 * [backup-simplify]: Simplify 0 into 0 15.369 * [backup-simplify]: Simplify 1 into 1 15.369 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (pow N 3)) (* 0.125 (pow N 6)))) in N 15.369 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 3)) (* 0.125 (pow N 6))) in N 15.369 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 3)) in N 15.369 * [taylor]: Taking taylor expansion of 1.0 in N 15.369 * [backup-simplify]: Simplify 1.0 into 1.0 15.370 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.370 * [taylor]: Taking taylor expansion of N in N 15.370 * [backup-simplify]: Simplify 0 into 0 15.370 * [backup-simplify]: Simplify 1 into 1 15.370 * [taylor]: Taking taylor expansion of (* 0.125 (pow N 6)) in N 15.370 * [taylor]: Taking taylor expansion of 0.125 in N 15.370 * [backup-simplify]: Simplify 0.125 into 0.125 15.370 * [taylor]: Taking taylor expansion of (pow N 6) in N 15.370 * [taylor]: Taking taylor expansion of N in N 15.370 * [backup-simplify]: Simplify 0 into 0 15.370 * [backup-simplify]: Simplify 1 into 1 15.370 * [backup-simplify]: Simplify (* 1 1) into 1 15.371 * [backup-simplify]: Simplify (* 1 1) into 1 15.371 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 15.371 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.372 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 15.372 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 15.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.374 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 15.374 * [backup-simplify]: Simplify (+ 0 0) into 0 15.375 * [backup-simplify]: Simplify (- 0) into 0 15.375 * [backup-simplify]: Simplify 0 into 0 15.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.379 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 15.380 * [backup-simplify]: Simplify (+ 0 0) into 0 15.380 * [backup-simplify]: Simplify (- 0) into 0 15.380 * [backup-simplify]: Simplify 0 into 0 15.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.384 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.384 * [backup-simplify]: Simplify (* 1 1) into 1 15.392 * [backup-simplify]: Simplify (* 1 1) into 1 15.393 * [backup-simplify]: Simplify (* 1 1) into 1 15.393 * [backup-simplify]: Simplify (* 0.125 1) into 0.125 15.393 * [backup-simplify]: Simplify (+ 0 0.125) into 0.125 15.394 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 15.394 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 15.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.397 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.400 * [backup-simplify]: Simplify (+ (* 0.125 0) (* 0 1)) into 0 15.400 * [backup-simplify]: Simplify (+ 0 0) into 0 15.401 * [backup-simplify]: Simplify (- 0) into 0 15.401 * [backup-simplify]: Simplify 0 into 0 15.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.404 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.408 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 15.408 * [backup-simplify]: Simplify (+ 0 0) into 0 15.408 * [backup-simplify]: Simplify (- 0) into 0 15.408 * [backup-simplify]: Simplify 0 into 0 15.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.412 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.416 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.417 * [backup-simplify]: Simplify (+ 0 0) into 0 15.417 * [backup-simplify]: Simplify (- 0) into 0 15.417 * [backup-simplify]: Simplify 0 into 0 15.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.422 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.426 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.427 * [backup-simplify]: Simplify (+ 0 0) into 0 15.427 * [backup-simplify]: Simplify (- 0) into 0 15.427 * [backup-simplify]: Simplify 0 into 0 15.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 15.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 15.432 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 15.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.438 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.438 * [backup-simplify]: Simplify (+ 0 0) into 0 15.438 * [backup-simplify]: Simplify (- 0) into 0 15.438 * [backup-simplify]: Simplify 0 into 0 15.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 15.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 15.444 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 15.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.450 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.450 * [backup-simplify]: Simplify (+ 0 0) into 0 15.450 * [backup-simplify]: Simplify (- 0) into 0 15.450 * [backup-simplify]: Simplify 0 into 0 15.452 * [backup-simplify]: Simplify (+ (* (- 0.125) (pow (/ 1 (- N)) 6)) (* (- 1.0) (pow (/ 1 (- N)) 3))) into (- (* 1.0 (/ 1 (pow N 3))) (* 0.125 (/ 1 (pow N 6)))) 15.452 * * * * [progress]: [ 3 / 4 ] generating series at (2) 15.453 * [backup-simplify]: Simplify (+ (/ (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N))))) (/ 0.3333333333333333 (pow N 3))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 3))))) (* 0.125 (/ 1 (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 6))))) 15.453 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 3))))) (* 0.125 (/ 1 (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 6))))) in (N) around 0 15.453 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 3))))) (* 0.125 (/ 1 (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 6))))) in N 15.453 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 3))))) in N 15.453 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 15.453 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 15.453 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.453 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 15.453 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.453 * [taylor]: Taking taylor expansion of N in N 15.453 * [backup-simplify]: Simplify 0 into 0 15.453 * [backup-simplify]: Simplify 1 into 1 15.454 * [backup-simplify]: Simplify (* 1 1) into 1 15.454 * [backup-simplify]: Simplify (* 1 1) into 1 15.454 * [backup-simplify]: Simplify (/ 1 1) into 1 15.454 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 3)))) in N 15.455 * [taylor]: Taking taylor expansion of 1.0 in N 15.455 * [backup-simplify]: Simplify 1.0 into 1.0 15.455 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 3))) in N 15.455 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 3)) in N 15.455 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) in N 15.455 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 3))) in N 15.455 * [taylor]: Taking taylor expansion of 0.5 in N 15.455 * [backup-simplify]: Simplify 0.5 into 0.5 15.455 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 15.455 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.455 * [taylor]: Taking taylor expansion of N in N 15.455 * [backup-simplify]: Simplify 0 into 0 15.455 * [backup-simplify]: Simplify 1 into 1 15.455 * [backup-simplify]: Simplify (* 1 1) into 1 15.456 * [backup-simplify]: Simplify (* 1 1) into 1 15.456 * [backup-simplify]: Simplify (/ 1 1) into 1 15.456 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4)))) in N 15.456 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow N 2))) in N 15.456 * [taylor]: Taking taylor expansion of 1.0 in N 15.456 * [backup-simplify]: Simplify 1.0 into 1.0 15.456 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 15.456 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.456 * [taylor]: Taking taylor expansion of N in N 15.456 * [backup-simplify]: Simplify 0 into 0 15.456 * [backup-simplify]: Simplify 1 into 1 15.456 * [backup-simplify]: Simplify (* 1 1) into 1 15.457 * [backup-simplify]: Simplify (/ 1 1) into 1 15.457 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow N 4))) in N 15.457 * [taylor]: Taking taylor expansion of 0.25 in N 15.457 * [backup-simplify]: Simplify 0.25 into 0.25 15.457 * [taylor]: Taking taylor expansion of (/ 1 (pow N 4)) in N 15.457 * [taylor]: Taking taylor expansion of (pow N 4) in N 15.457 * [taylor]: Taking taylor expansion of N in N 15.457 * [backup-simplify]: Simplify 0 into 0 15.457 * [backup-simplify]: Simplify 1 into 1 15.457 * [backup-simplify]: Simplify (* 1 1) into 1 15.458 * [backup-simplify]: Simplify (* 1 1) into 1 15.458 * [backup-simplify]: Simplify (/ 1 1) into 1 15.458 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.458 * [taylor]: Taking taylor expansion of N in N 15.458 * [backup-simplify]: Simplify 0 into 0 15.458 * [backup-simplify]: Simplify 1 into 1 15.459 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 15.459 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 15.459 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 15.460 * [backup-simplify]: Simplify (* 1 1) into 1 15.460 * [backup-simplify]: Simplify (* 1 1) into 1 15.460 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 15.461 * [backup-simplify]: Simplify (/ 1 0.25) into 4.0 15.461 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 6)))) in N 15.461 * [taylor]: Taking taylor expansion of 0.125 in N 15.461 * [backup-simplify]: Simplify 0.125 into 0.125 15.461 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 6))) in N 15.461 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 6)) in N 15.461 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) in N 15.461 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 3))) in N 15.461 * [taylor]: Taking taylor expansion of 0.5 in N 15.461 * [backup-simplify]: Simplify 0.5 into 0.5 15.461 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 15.461 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.461 * [taylor]: Taking taylor expansion of N in N 15.461 * [backup-simplify]: Simplify 0 into 0 15.461 * [backup-simplify]: Simplify 1 into 1 15.462 * [backup-simplify]: Simplify (* 1 1) into 1 15.462 * [backup-simplify]: Simplify (* 1 1) into 1 15.462 * [backup-simplify]: Simplify (/ 1 1) into 1 15.462 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4)))) in N 15.462 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow N 2))) in N 15.462 * [taylor]: Taking taylor expansion of 1.0 in N 15.462 * [backup-simplify]: Simplify 1.0 into 1.0 15.462 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 15.462 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.462 * [taylor]: Taking taylor expansion of N in N 15.462 * [backup-simplify]: Simplify 0 into 0 15.463 * [backup-simplify]: Simplify 1 into 1 15.463 * [backup-simplify]: Simplify (* 1 1) into 1 15.463 * [backup-simplify]: Simplify (/ 1 1) into 1 15.463 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow N 4))) in N 15.463 * [taylor]: Taking taylor expansion of 0.25 in N 15.463 * [backup-simplify]: Simplify 0.25 into 0.25 15.463 * [taylor]: Taking taylor expansion of (/ 1 (pow N 4)) in N 15.463 * [taylor]: Taking taylor expansion of (pow N 4) in N 15.463 * [taylor]: Taking taylor expansion of N in N 15.463 * [backup-simplify]: Simplify 0 into 0 15.463 * [backup-simplify]: Simplify 1 into 1 15.464 * [backup-simplify]: Simplify (* 1 1) into 1 15.464 * [backup-simplify]: Simplify (* 1 1) into 1 15.464 * [backup-simplify]: Simplify (/ 1 1) into 1 15.464 * [taylor]: Taking taylor expansion of (pow N 6) in N 15.465 * [taylor]: Taking taylor expansion of N in N 15.465 * [backup-simplify]: Simplify 0 into 0 15.465 * [backup-simplify]: Simplify 1 into 1 15.465 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 15.465 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 15.466 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 15.466 * [backup-simplify]: Simplify (* 1 1) into 1 15.466 * [backup-simplify]: Simplify (* 1 1) into 1 15.467 * [backup-simplify]: Simplify (* 1 1) into 1 15.467 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 15.468 * [backup-simplify]: Simplify (/ 1 0.25) into 4.0 15.468 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 3))))) (* 0.125 (/ 1 (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 6))))) in N 15.468 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 3))))) in N 15.468 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 15.468 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 15.468 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.468 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 15.468 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.468 * [taylor]: Taking taylor expansion of N in N 15.468 * [backup-simplify]: Simplify 0 into 0 15.468 * [backup-simplify]: Simplify 1 into 1 15.468 * [backup-simplify]: Simplify (* 1 1) into 1 15.469 * [backup-simplify]: Simplify (* 1 1) into 1 15.469 * [backup-simplify]: Simplify (/ 1 1) into 1 15.469 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 3)))) in N 15.469 * [taylor]: Taking taylor expansion of 1.0 in N 15.469 * [backup-simplify]: Simplify 1.0 into 1.0 15.469 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 3))) in N 15.469 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 3)) in N 15.469 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) in N 15.469 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 3))) in N 15.469 * [taylor]: Taking taylor expansion of 0.5 in N 15.469 * [backup-simplify]: Simplify 0.5 into 0.5 15.469 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 15.469 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.469 * [taylor]: Taking taylor expansion of N in N 15.469 * [backup-simplify]: Simplify 0 into 0 15.469 * [backup-simplify]: Simplify 1 into 1 15.470 * [backup-simplify]: Simplify (* 1 1) into 1 15.470 * [backup-simplify]: Simplify (* 1 1) into 1 15.470 * [backup-simplify]: Simplify (/ 1 1) into 1 15.470 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4)))) in N 15.470 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow N 2))) in N 15.470 * [taylor]: Taking taylor expansion of 1.0 in N 15.470 * [backup-simplify]: Simplify 1.0 into 1.0 15.470 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 15.470 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.471 * [taylor]: Taking taylor expansion of N in N 15.471 * [backup-simplify]: Simplify 0 into 0 15.471 * [backup-simplify]: Simplify 1 into 1 15.471 * [backup-simplify]: Simplify (* 1 1) into 1 15.471 * [backup-simplify]: Simplify (/ 1 1) into 1 15.471 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow N 4))) in N 15.471 * [taylor]: Taking taylor expansion of 0.25 in N 15.471 * [backup-simplify]: Simplify 0.25 into 0.25 15.471 * [taylor]: Taking taylor expansion of (/ 1 (pow N 4)) in N 15.471 * [taylor]: Taking taylor expansion of (pow N 4) in N 15.471 * [taylor]: Taking taylor expansion of N in N 15.471 * [backup-simplify]: Simplify 0 into 0 15.472 * [backup-simplify]: Simplify 1 into 1 15.472 * [backup-simplify]: Simplify (* 1 1) into 1 15.472 * [backup-simplify]: Simplify (* 1 1) into 1 15.473 * [backup-simplify]: Simplify (/ 1 1) into 1 15.473 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.473 * [taylor]: Taking taylor expansion of N in N 15.473 * [backup-simplify]: Simplify 0 into 0 15.473 * [backup-simplify]: Simplify 1 into 1 15.473 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 15.474 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 15.474 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 15.474 * [backup-simplify]: Simplify (* 1 1) into 1 15.475 * [backup-simplify]: Simplify (* 1 1) into 1 15.475 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 15.476 * [backup-simplify]: Simplify (/ 1 0.25) into 4.0 15.476 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 6)))) in N 15.476 * [taylor]: Taking taylor expansion of 0.125 in N 15.476 * [backup-simplify]: Simplify 0.125 into 0.125 15.476 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 6))) in N 15.476 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) (pow N 6)) in N 15.476 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (pow N 3))) (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4))))) in N 15.476 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 3))) in N 15.476 * [taylor]: Taking taylor expansion of 0.5 in N 15.476 * [backup-simplify]: Simplify 0.5 into 0.5 15.476 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 15.476 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.476 * [taylor]: Taking taylor expansion of N in N 15.476 * [backup-simplify]: Simplify 0 into 0 15.476 * [backup-simplify]: Simplify 1 into 1 15.477 * [backup-simplify]: Simplify (* 1 1) into 1 15.477 * [backup-simplify]: Simplify (* 1 1) into 1 15.477 * [backup-simplify]: Simplify (/ 1 1) into 1 15.477 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow N 2))) (* 0.25 (/ 1 (pow N 4)))) in N 15.478 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow N 2))) in N 15.478 * [taylor]: Taking taylor expansion of 1.0 in N 15.478 * [backup-simplify]: Simplify 1.0 into 1.0 15.478 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 15.478 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.478 * [taylor]: Taking taylor expansion of N in N 15.478 * [backup-simplify]: Simplify 0 into 0 15.478 * [backup-simplify]: Simplify 1 into 1 15.478 * [backup-simplify]: Simplify (* 1 1) into 1 15.478 * [backup-simplify]: Simplify (/ 1 1) into 1 15.478 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow N 4))) in N 15.478 * [taylor]: Taking taylor expansion of 0.25 in N 15.479 * [backup-simplify]: Simplify 0.25 into 0.25 15.479 * [taylor]: Taking taylor expansion of (/ 1 (pow N 4)) in N 15.479 * [taylor]: Taking taylor expansion of (pow N 4) in N 15.479 * [taylor]: Taking taylor expansion of N in N 15.479 * [backup-simplify]: Simplify 0 into 0 15.479 * [backup-simplify]: Simplify 1 into 1 15.479 * [backup-simplify]: Simplify (* 1 1) into 1 15.479 * [backup-simplify]: Simplify (* 1 1) into 1 15.480 * [backup-simplify]: Simplify (/ 1 1) into 1 15.480 * [taylor]: Taking taylor expansion of (pow N 6) in N 15.480 * [taylor]: Taking taylor expansion of N in N 15.480 * [backup-simplify]: Simplify 0 into 0 15.480 * [backup-simplify]: Simplify 1 into 1 15.480 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 15.481 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 15.481 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 15.481 * [backup-simplify]: Simplify (* 1 1) into 1 15.482 * [backup-simplify]: Simplify (* 1 1) into 1 15.482 * [backup-simplify]: Simplify (* 1 1) into 1 15.483 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 15.483 * [backup-simplify]: Simplify (/ 1 0.25) into 4.0 15.484 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 15.484 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 15.484 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 15.484 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.487 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 15.487 * [backup-simplify]: Simplify (+ 0 0) into 0 15.488 * [backup-simplify]: Simplify (* 0.125 4.0) into 0.5 15.488 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.489 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 15.489 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.493 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 15.493 * [backup-simplify]: Simplify (+ 0 0) into 0 15.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.495 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.498 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0 15.498 * [backup-simplify]: Simplify (+ 0 0) into 0 15.499 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 15.500 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0.5 1)) into 0.5 15.502 * [backup-simplify]: Simplify (- (+ (* 4.0 (/ 0.5 0.25)))) into (- 8.0) 15.504 * [backup-simplify]: Simplify (+ (* 0.125 (- 8.0)) (* 0 4.0)) into (- 1.0) 15.505 * [backup-simplify]: Simplify (- (- 1.0)) into 1.0 15.505 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 15.505 * [backup-simplify]: Simplify 1.0 into 1.0 15.506 * [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)))) 15.508 * [backup-simplify]: Simplify (+ (/ (- (pow (/ 1.0 (/ 1 N)) 3) (pow (/ 0.5 (* (/ 1 N) (/ 1 N))) 3)) (+ (* (/ 1.0 (/ 1 N)) (/ 1.0 (/ 1 N))) (* (/ 0.5 (* (/ 1 N) (/ 1 N))) (+ (/ 0.5 (* (/ 1 N) (/ 1 N))) (/ 1.0 (/ 1 N)))))) (/ 0.3333333333333333 (pow (/ 1 N) 3))) into (- (+ (* 1.0 (/ (pow N 3) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3)))))) (* 0.3333333333333333 (pow N 3))) (* 0.125 (/ (pow N 6) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3))))))) 15.508 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ (pow N 3) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3)))))) (* 0.3333333333333333 (pow N 3))) (* 0.125 (/ (pow N 6) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3))))))) in (N) around 0 15.508 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ (pow N 3) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3)))))) (* 0.3333333333333333 (pow N 3))) (* 0.125 (/ (pow N 6) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3))))))) in N 15.508 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ (pow N 3) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3)))))) (* 0.3333333333333333 (pow N 3))) in N 15.508 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow N 3) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3)))))) in N 15.508 * [taylor]: Taking taylor expansion of 1.0 in N 15.508 * [backup-simplify]: Simplify 1.0 into 1.0 15.508 * [taylor]: Taking taylor expansion of (/ (pow N 3) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3))))) in N 15.508 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.508 * [taylor]: Taking taylor expansion of N in N 15.508 * [backup-simplify]: Simplify 0 into 0 15.508 * [backup-simplify]: Simplify 1 into 1 15.508 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3)))) in N 15.508 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 2)) in N 15.508 * [taylor]: Taking taylor expansion of 1.0 in N 15.508 * [backup-simplify]: Simplify 1.0 into 1.0 15.508 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.508 * [taylor]: Taking taylor expansion of N in N 15.508 * [backup-simplify]: Simplify 0 into 0 15.508 * [backup-simplify]: Simplify 1 into 1 15.508 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3))) in N 15.508 * [taylor]: Taking taylor expansion of (* 0.25 (pow N 4)) in N 15.508 * [taylor]: Taking taylor expansion of 0.25 in N 15.508 * [backup-simplify]: Simplify 0.25 into 0.25 15.508 * [taylor]: Taking taylor expansion of (pow N 4) in N 15.508 * [taylor]: Taking taylor expansion of N in N 15.508 * [backup-simplify]: Simplify 0 into 0 15.509 * [backup-simplify]: Simplify 1 into 1 15.509 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 3)) in N 15.509 * [taylor]: Taking taylor expansion of 0.5 in N 15.509 * [backup-simplify]: Simplify 0.5 into 0.5 15.509 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.509 * [taylor]: Taking taylor expansion of N in N 15.509 * [backup-simplify]: Simplify 0 into 0 15.509 * [backup-simplify]: Simplify 1 into 1 15.509 * [backup-simplify]: Simplify (* 1 1) into 1 15.509 * [backup-simplify]: Simplify (* 1 1) into 1 15.510 * [backup-simplify]: Simplify (* 1 1) into 1 15.510 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 15.511 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.511 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 15.511 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 15.511 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 15.511 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.511 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.511 * [taylor]: Taking taylor expansion of N in N 15.511 * [backup-simplify]: Simplify 0 into 0 15.511 * [backup-simplify]: Simplify 1 into 1 15.511 * [taylor]: Taking taylor expansion of (* 0.125 (/ (pow N 6) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3)))))) in N 15.511 * [taylor]: Taking taylor expansion of 0.125 in N 15.511 * [backup-simplify]: Simplify 0.125 into 0.125 15.511 * [taylor]: Taking taylor expansion of (/ (pow N 6) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3))))) in N 15.511 * [taylor]: Taking taylor expansion of (pow N 6) in N 15.511 * [taylor]: Taking taylor expansion of N in N 15.511 * [backup-simplify]: Simplify 0 into 0 15.512 * [backup-simplify]: Simplify 1 into 1 15.512 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3)))) in N 15.512 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 2)) in N 15.512 * [taylor]: Taking taylor expansion of 1.0 in N 15.512 * [backup-simplify]: Simplify 1.0 into 1.0 15.512 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.512 * [taylor]: Taking taylor expansion of N in N 15.512 * [backup-simplify]: Simplify 0 into 0 15.512 * [backup-simplify]: Simplify 1 into 1 15.512 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3))) in N 15.512 * [taylor]: Taking taylor expansion of (* 0.25 (pow N 4)) in N 15.512 * [taylor]: Taking taylor expansion of 0.25 in N 15.512 * [backup-simplify]: Simplify 0.25 into 0.25 15.512 * [taylor]: Taking taylor expansion of (pow N 4) in N 15.512 * [taylor]: Taking taylor expansion of N in N 15.512 * [backup-simplify]: Simplify 0 into 0 15.512 * [backup-simplify]: Simplify 1 into 1 15.512 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 3)) in N 15.512 * [taylor]: Taking taylor expansion of 0.5 in N 15.512 * [backup-simplify]: Simplify 0.5 into 0.5 15.512 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.512 * [taylor]: Taking taylor expansion of N in N 15.512 * [backup-simplify]: Simplify 0 into 0 15.512 * [backup-simplify]: Simplify 1 into 1 15.512 * [backup-simplify]: Simplify (* 1 1) into 1 15.513 * [backup-simplify]: Simplify (* 1 1) into 1 15.513 * [backup-simplify]: Simplify (* 1 1) into 1 15.513 * [backup-simplify]: Simplify (* 1 1) into 1 15.514 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 15.514 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.515 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 15.515 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ (pow N 3) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3)))))) (* 0.3333333333333333 (pow N 3))) (* 0.125 (/ (pow N 6) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3))))))) in N 15.515 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ (pow N 3) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3)))))) (* 0.3333333333333333 (pow N 3))) in N 15.515 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow N 3) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3)))))) in N 15.515 * [taylor]: Taking taylor expansion of 1.0 in N 15.515 * [backup-simplify]: Simplify 1.0 into 1.0 15.515 * [taylor]: Taking taylor expansion of (/ (pow N 3) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3))))) in N 15.515 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.515 * [taylor]: Taking taylor expansion of N in N 15.515 * [backup-simplify]: Simplify 0 into 0 15.515 * [backup-simplify]: Simplify 1 into 1 15.515 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3)))) in N 15.515 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 2)) in N 15.515 * [taylor]: Taking taylor expansion of 1.0 in N 15.515 * [backup-simplify]: Simplify 1.0 into 1.0 15.515 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.515 * [taylor]: Taking taylor expansion of N in N 15.515 * [backup-simplify]: Simplify 0 into 0 15.515 * [backup-simplify]: Simplify 1 into 1 15.515 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3))) in N 15.515 * [taylor]: Taking taylor expansion of (* 0.25 (pow N 4)) in N 15.515 * [taylor]: Taking taylor expansion of 0.25 in N 15.515 * [backup-simplify]: Simplify 0.25 into 0.25 15.515 * [taylor]: Taking taylor expansion of (pow N 4) in N 15.515 * [taylor]: Taking taylor expansion of N in N 15.515 * [backup-simplify]: Simplify 0 into 0 15.515 * [backup-simplify]: Simplify 1 into 1 15.515 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 3)) in N 15.515 * [taylor]: Taking taylor expansion of 0.5 in N 15.515 * [backup-simplify]: Simplify 0.5 into 0.5 15.516 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.516 * [taylor]: Taking taylor expansion of N in N 15.516 * [backup-simplify]: Simplify 0 into 0 15.516 * [backup-simplify]: Simplify 1 into 1 15.516 * [backup-simplify]: Simplify (* 1 1) into 1 15.516 * [backup-simplify]: Simplify (* 1 1) into 1 15.517 * [backup-simplify]: Simplify (* 1 1) into 1 15.517 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 15.517 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.518 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 15.518 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 15.518 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 15.518 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.518 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.518 * [taylor]: Taking taylor expansion of N in N 15.518 * [backup-simplify]: Simplify 0 into 0 15.518 * [backup-simplify]: Simplify 1 into 1 15.518 * [taylor]: Taking taylor expansion of (* 0.125 (/ (pow N 6) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3)))))) in N 15.518 * [taylor]: Taking taylor expansion of 0.125 in N 15.518 * [backup-simplify]: Simplify 0.125 into 0.125 15.518 * [taylor]: Taking taylor expansion of (/ (pow N 6) (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3))))) in N 15.518 * [taylor]: Taking taylor expansion of (pow N 6) in N 15.518 * [taylor]: Taking taylor expansion of N in N 15.518 * [backup-simplify]: Simplify 0 into 0 15.518 * [backup-simplify]: Simplify 1 into 1 15.518 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 2)) (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3)))) in N 15.518 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 2)) in N 15.518 * [taylor]: Taking taylor expansion of 1.0 in N 15.518 * [backup-simplify]: Simplify 1.0 into 1.0 15.518 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.518 * [taylor]: Taking taylor expansion of N in N 15.518 * [backup-simplify]: Simplify 0 into 0 15.518 * [backup-simplify]: Simplify 1 into 1 15.518 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow N 4)) (* 0.5 (pow N 3))) in N 15.518 * [taylor]: Taking taylor expansion of (* 0.25 (pow N 4)) in N 15.519 * [taylor]: Taking taylor expansion of 0.25 in N 15.519 * [backup-simplify]: Simplify 0.25 into 0.25 15.519 * [taylor]: Taking taylor expansion of (pow N 4) in N 15.519 * [taylor]: Taking taylor expansion of N in N 15.519 * [backup-simplify]: Simplify 0 into 0 15.519 * [backup-simplify]: Simplify 1 into 1 15.519 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 3)) in N 15.519 * [taylor]: Taking taylor expansion of 0.5 in N 15.519 * [backup-simplify]: Simplify 0.5 into 0.5 15.519 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.519 * [taylor]: Taking taylor expansion of N in N 15.519 * [backup-simplify]: Simplify 0 into 0 15.519 * [backup-simplify]: Simplify 1 into 1 15.519 * [backup-simplify]: Simplify (* 1 1) into 1 15.519 * [backup-simplify]: Simplify (* 1 1) into 1 15.520 * [backup-simplify]: Simplify (* 1 1) into 1 15.520 * [backup-simplify]: Simplify (* 1 1) into 1 15.521 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 15.521 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.521 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 15.522 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 15.522 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.523 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.523 * [backup-simplify]: Simplify 1.0 into 1.0 15.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.532 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 15.532 * [backup-simplify]: Simplify (* 1 1) into 1 15.533 * [backup-simplify]: Simplify (* 1 1) into 1 15.533 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.534 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 15.534 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 15.537 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0.5 1.0)))) into (- 0.5) 15.538 * [backup-simplify]: Simplify (+ (* 1.0 (- 0.5)) (* 0 1.0)) into (- 0.5) 15.539 * [backup-simplify]: Simplify (+ (- 0.5) 0) into (- 0.5) 15.540 * [backup-simplify]: Simplify (+ (- 0.5) 0) into (- 0.5) 15.540 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.544 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 15.544 * [backup-simplify]: Simplify (* 1 1) into 1 15.544 * [backup-simplify]: Simplify (* 1 1) into 1 15.545 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 15.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.547 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 15.547 * [backup-simplify]: Simplify (+ 0.25 0) into 0.25 15.547 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 15.552 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0.25 1.0)) (* (- 0.5) (/ 0.5 1.0)))) into 0 15.553 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 (- 0.5)) (* 0 1.0))) into 0 15.553 * [backup-simplify]: Simplify (* 1 1) into 1 15.554 * [backup-simplify]: Simplify (* 1 1) into 1 15.554 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 15.555 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 15.555 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 15.555 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.556 * [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)))) 15.558 * [backup-simplify]: Simplify (+ (/ (- (pow (/ 1.0 (/ 1 (- N))) 3) (pow (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) 3)) (+ (* (/ 1.0 (/ 1 (- N))) (/ 1.0 (/ 1 (- N)))) (* (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) (+ (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1.0 (/ 1 (- N))))))) (/ 0.3333333333333333 (pow (/ 1 (- N)) 3))) into (- (+ (* 1.0 (/ (pow N 3) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) (+ (* 0.125 (/ (pow N 6) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) (* 0.3333333333333333 (pow N 3))))) 15.558 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ (pow N 3) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) (+ (* 0.125 (/ (pow N 6) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 15.558 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ (pow N 3) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) (+ (* 0.125 (/ (pow N 6) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) (* 0.3333333333333333 (pow N 3))))) in N 15.558 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ (pow N 3) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) (+ (* 0.125 (/ (pow N 6) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) (* 0.3333333333333333 (pow N 3)))) in N 15.558 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow N 3) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) in N 15.558 * [taylor]: Taking taylor expansion of 1.0 in N 15.558 * [backup-simplify]: Simplify 1.0 into 1.0 15.558 * [taylor]: Taking taylor expansion of (/ (pow N 3) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3)))) in N 15.558 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.558 * [taylor]: Taking taylor expansion of N in N 15.558 * [backup-simplify]: Simplify 0 into 0 15.558 * [backup-simplify]: Simplify 1 into 1 15.558 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))) in N 15.558 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) in N 15.558 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 2)) in N 15.558 * [taylor]: Taking taylor expansion of 1.0 in N 15.558 * [backup-simplify]: Simplify 1.0 into 1.0 15.558 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.558 * [taylor]: Taking taylor expansion of N in N 15.558 * [backup-simplify]: Simplify 0 into 0 15.558 * [backup-simplify]: Simplify 1 into 1 15.558 * [taylor]: Taking taylor expansion of (* 0.25 (pow N 4)) in N 15.558 * [taylor]: Taking taylor expansion of 0.25 in N 15.558 * [backup-simplify]: Simplify 0.25 into 0.25 15.558 * [taylor]: Taking taylor expansion of (pow N 4) in N 15.558 * [taylor]: Taking taylor expansion of N in N 15.559 * [backup-simplify]: Simplify 0 into 0 15.559 * [backup-simplify]: Simplify 1 into 1 15.559 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 3)) in N 15.559 * [taylor]: Taking taylor expansion of 0.5 in N 15.559 * [backup-simplify]: Simplify 0.5 into 0.5 15.559 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.559 * [taylor]: Taking taylor expansion of N in N 15.559 * [backup-simplify]: Simplify 0 into 0 15.559 * [backup-simplify]: Simplify 1 into 1 15.559 * [backup-simplify]: Simplify (* 1 1) into 1 15.559 * [backup-simplify]: Simplify (* 1 1) into 1 15.560 * [backup-simplify]: Simplify (* 1 1) into 1 15.560 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 15.561 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.561 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.561 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 15.561 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ (pow N 6) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) (* 0.3333333333333333 (pow N 3))) in N 15.562 * [taylor]: Taking taylor expansion of (* 0.125 (/ (pow N 6) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) in N 15.562 * [taylor]: Taking taylor expansion of 0.125 in N 15.562 * [backup-simplify]: Simplify 0.125 into 0.125 15.562 * [taylor]: Taking taylor expansion of (/ (pow N 6) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3)))) in N 15.562 * [taylor]: Taking taylor expansion of (pow N 6) in N 15.562 * [taylor]: Taking taylor expansion of N in N 15.562 * [backup-simplify]: Simplify 0 into 0 15.562 * [backup-simplify]: Simplify 1 into 1 15.562 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))) in N 15.562 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) in N 15.562 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 2)) in N 15.562 * [taylor]: Taking taylor expansion of 1.0 in N 15.562 * [backup-simplify]: Simplify 1.0 into 1.0 15.562 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.562 * [taylor]: Taking taylor expansion of N in N 15.562 * [backup-simplify]: Simplify 0 into 0 15.562 * [backup-simplify]: Simplify 1 into 1 15.562 * [taylor]: Taking taylor expansion of (* 0.25 (pow N 4)) in N 15.562 * [taylor]: Taking taylor expansion of 0.25 in N 15.562 * [backup-simplify]: Simplify 0.25 into 0.25 15.562 * [taylor]: Taking taylor expansion of (pow N 4) in N 15.562 * [taylor]: Taking taylor expansion of N in N 15.562 * [backup-simplify]: Simplify 0 into 0 15.562 * [backup-simplify]: Simplify 1 into 1 15.562 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 3)) in N 15.562 * [taylor]: Taking taylor expansion of 0.5 in N 15.562 * [backup-simplify]: Simplify 0.5 into 0.5 15.562 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.562 * [taylor]: Taking taylor expansion of N in N 15.562 * [backup-simplify]: Simplify 0 into 0 15.562 * [backup-simplify]: Simplify 1 into 1 15.563 * [backup-simplify]: Simplify (* 1 1) into 1 15.563 * [backup-simplify]: Simplify (* 1 1) into 1 15.563 * [backup-simplify]: Simplify (* 1 1) into 1 15.564 * [backup-simplify]: Simplify (* 1 1) into 1 15.564 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 15.564 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.565 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.565 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 15.565 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 15.565 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 15.565 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.565 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.565 * [taylor]: Taking taylor expansion of N in N 15.565 * [backup-simplify]: Simplify 0 into 0 15.565 * [backup-simplify]: Simplify 1 into 1 15.565 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ (pow N 3) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) (+ (* 0.125 (/ (pow N 6) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) (* 0.3333333333333333 (pow N 3))))) in N 15.565 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ (pow N 3) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) (+ (* 0.125 (/ (pow N 6) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) (* 0.3333333333333333 (pow N 3)))) in N 15.566 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow N 3) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) in N 15.566 * [taylor]: Taking taylor expansion of 1.0 in N 15.566 * [backup-simplify]: Simplify 1.0 into 1.0 15.566 * [taylor]: Taking taylor expansion of (/ (pow N 3) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3)))) in N 15.566 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.566 * [taylor]: Taking taylor expansion of N in N 15.566 * [backup-simplify]: Simplify 0 into 0 15.566 * [backup-simplify]: Simplify 1 into 1 15.566 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))) in N 15.566 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) in N 15.566 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 2)) in N 15.566 * [taylor]: Taking taylor expansion of 1.0 in N 15.566 * [backup-simplify]: Simplify 1.0 into 1.0 15.566 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.566 * [taylor]: Taking taylor expansion of N in N 15.566 * [backup-simplify]: Simplify 0 into 0 15.566 * [backup-simplify]: Simplify 1 into 1 15.566 * [taylor]: Taking taylor expansion of (* 0.25 (pow N 4)) in N 15.566 * [taylor]: Taking taylor expansion of 0.25 in N 15.566 * [backup-simplify]: Simplify 0.25 into 0.25 15.566 * [taylor]: Taking taylor expansion of (pow N 4) in N 15.566 * [taylor]: Taking taylor expansion of N in N 15.566 * [backup-simplify]: Simplify 0 into 0 15.566 * [backup-simplify]: Simplify 1 into 1 15.566 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 3)) in N 15.566 * [taylor]: Taking taylor expansion of 0.5 in N 15.566 * [backup-simplify]: Simplify 0.5 into 0.5 15.566 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.566 * [taylor]: Taking taylor expansion of N in N 15.566 * [backup-simplify]: Simplify 0 into 0 15.566 * [backup-simplify]: Simplify 1 into 1 15.567 * [backup-simplify]: Simplify (* 1 1) into 1 15.567 * [backup-simplify]: Simplify (* 1 1) into 1 15.567 * [backup-simplify]: Simplify (* 1 1) into 1 15.568 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 15.568 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.569 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.569 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 15.569 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ (pow N 6) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) (* 0.3333333333333333 (pow N 3))) in N 15.569 * [taylor]: Taking taylor expansion of (* 0.125 (/ (pow N 6) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))))) in N 15.569 * [taylor]: Taking taylor expansion of 0.125 in N 15.569 * [backup-simplify]: Simplify 0.125 into 0.125 15.569 * [taylor]: Taking taylor expansion of (/ (pow N 6) (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3)))) in N 15.569 * [taylor]: Taking taylor expansion of (pow N 6) in N 15.569 * [taylor]: Taking taylor expansion of N in N 15.569 * [backup-simplify]: Simplify 0 into 0 15.569 * [backup-simplify]: Simplify 1 into 1 15.569 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) (* 0.5 (pow N 3))) in N 15.569 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 2)) (* 0.25 (pow N 4))) in N 15.569 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 2)) in N 15.569 * [taylor]: Taking taylor expansion of 1.0 in N 15.569 * [backup-simplify]: Simplify 1.0 into 1.0 15.569 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.569 * [taylor]: Taking taylor expansion of N in N 15.569 * [backup-simplify]: Simplify 0 into 0 15.569 * [backup-simplify]: Simplify 1 into 1 15.569 * [taylor]: Taking taylor expansion of (* 0.25 (pow N 4)) in N 15.570 * [taylor]: Taking taylor expansion of 0.25 in N 15.570 * [backup-simplify]: Simplify 0.25 into 0.25 15.570 * [taylor]: Taking taylor expansion of (pow N 4) in N 15.570 * [taylor]: Taking taylor expansion of N in N 15.570 * [backup-simplify]: Simplify 0 into 0 15.570 * [backup-simplify]: Simplify 1 into 1 15.570 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 3)) in N 15.570 * [taylor]: Taking taylor expansion of 0.5 in N 15.570 * [backup-simplify]: Simplify 0.5 into 0.5 15.570 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.570 * [taylor]: Taking taylor expansion of N in N 15.570 * [backup-simplify]: Simplify 0 into 0 15.570 * [backup-simplify]: Simplify 1 into 1 15.570 * [backup-simplify]: Simplify (* 1 1) into 1 15.571 * [backup-simplify]: Simplify (* 1 1) into 1 15.571 * [backup-simplify]: Simplify (* 1 1) into 1 15.571 * [backup-simplify]: Simplify (* 1 1) into 1 15.572 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 15.572 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.572 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.573 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 15.573 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 15.573 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 15.573 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.573 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.573 * [taylor]: Taking taylor expansion of N in N 15.573 * [backup-simplify]: Simplify 0 into 0 15.573 * [backup-simplify]: Simplify 1 into 1 15.574 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 15.574 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.574 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 15.575 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 15.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.577 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 15.577 * [backup-simplify]: Simplify (+ 0 0) into 0 15.578 * [backup-simplify]: Simplify (* 1 1) into 1 15.578 * [backup-simplify]: Simplify (* 1 1) into 1 15.578 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.579 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.580 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 15.583 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ (- 0.5) 1.0)))) into 0.5 15.584 * [backup-simplify]: Simplify (+ (* 1.0 0.5) (* 0 1.0)) into 0.5 15.585 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 15.585 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.585 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.589 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 15.589 * [backup-simplify]: Simplify (* 1 1) into 1 15.590 * [backup-simplify]: Simplify (* 1 1) into 1 15.590 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 15.591 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 15.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.592 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 15.593 * [backup-simplify]: Simplify (- 0) into 0 15.593 * [backup-simplify]: Simplify (+ 0.25 0) into 0.25 15.598 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0.25 1.0)) (* 0.5 (/ (- 0.5) 1.0)))) into 0 15.599 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0.5) (* 0 1.0))) into 0 15.599 * [backup-simplify]: Simplify (* 1 1) into 1 15.599 * [backup-simplify]: Simplify (* 1 1) into 1 15.600 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 15.600 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 15.601 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 15.601 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 15.601 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 15.603 * [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)))) 15.603 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2 1) 15.603 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 15.603 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 15.603 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 15.603 * [taylor]: Taking taylor expansion of 0.5 in N 15.603 * [backup-simplify]: Simplify 0.5 into 0.5 15.603 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.603 * [taylor]: Taking taylor expansion of N in N 15.603 * [backup-simplify]: Simplify 0 into 0 15.603 * [backup-simplify]: Simplify 1 into 1 15.604 * [backup-simplify]: Simplify (* 1 1) into 1 15.604 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 15.604 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 15.604 * [taylor]: Taking taylor expansion of 0.5 in N 15.604 * [backup-simplify]: Simplify 0.5 into 0.5 15.604 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.604 * [taylor]: Taking taylor expansion of N in N 15.604 * [backup-simplify]: Simplify 0 into 0 15.604 * [backup-simplify]: Simplify 1 into 1 15.605 * [backup-simplify]: Simplify (* 1 1) into 1 15.605 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 15.605 * [backup-simplify]: Simplify 0.5 into 0.5 15.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 15.607 * [backup-simplify]: Simplify 0 into 0 15.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.608 * [backup-simplify]: Simplify 0 into 0 15.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.610 * [backup-simplify]: Simplify 0 into 0 15.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.612 * [backup-simplify]: Simplify 0 into 0 15.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.615 * [backup-simplify]: Simplify 0 into 0 15.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.617 * [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 15.617 * [backup-simplify]: Simplify 0 into 0 15.617 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 15.617 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 15.617 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 15.617 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 15.617 * [taylor]: Taking taylor expansion of 0.5 in N 15.617 * [backup-simplify]: Simplify 0.5 into 0.5 15.617 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.617 * [taylor]: Taking taylor expansion of N in N 15.617 * [backup-simplify]: Simplify 0 into 0 15.617 * [backup-simplify]: Simplify 1 into 1 15.618 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 15.618 * [taylor]: Taking taylor expansion of 0.5 in N 15.618 * [backup-simplify]: Simplify 0.5 into 0.5 15.618 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.618 * [taylor]: Taking taylor expansion of N in N 15.618 * [backup-simplify]: Simplify 0 into 0 15.618 * [backup-simplify]: Simplify 1 into 1 15.618 * [backup-simplify]: Simplify (* 1 1) into 1 15.618 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.618 * [backup-simplify]: Simplify 0.5 into 0.5 15.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.620 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 15.620 * [backup-simplify]: Simplify 0 into 0 15.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.621 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 15.621 * [backup-simplify]: Simplify 0 into 0 15.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.623 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.623 * [backup-simplify]: Simplify 0 into 0 15.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.626 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.626 * [backup-simplify]: Simplify 0 into 0 15.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.628 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.628 * [backup-simplify]: Simplify 0 into 0 15.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.631 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.631 * [backup-simplify]: Simplify 0 into 0 15.631 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 15.631 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 15.631 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 15.631 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 15.631 * [taylor]: Taking taylor expansion of 0.5 in N 15.631 * [backup-simplify]: Simplify 0.5 into 0.5 15.631 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.631 * [taylor]: Taking taylor expansion of N in N 15.631 * [backup-simplify]: Simplify 0 into 0 15.632 * [backup-simplify]: Simplify 1 into 1 15.632 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 15.632 * [taylor]: Taking taylor expansion of 0.5 in N 15.632 * [backup-simplify]: Simplify 0.5 into 0.5 15.632 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.632 * [taylor]: Taking taylor expansion of N in N 15.632 * [backup-simplify]: Simplify 0 into 0 15.632 * [backup-simplify]: Simplify 1 into 1 15.632 * [backup-simplify]: Simplify (* 1 1) into 1 15.632 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.633 * [backup-simplify]: Simplify 0.5 into 0.5 15.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.634 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 15.634 * [backup-simplify]: Simplify 0 into 0 15.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.636 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 15.636 * [backup-simplify]: Simplify 0 into 0 15.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.637 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.638 * [backup-simplify]: Simplify 0 into 0 15.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.640 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.640 * [backup-simplify]: Simplify 0 into 0 15.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.642 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.642 * [backup-simplify]: Simplify 0 into 0 15.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.645 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.645 * [backup-simplify]: Simplify 0 into 0 15.645 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 15.646 * * * [progress]: simplifying candidates 15.669 * [simplify]: Simplifying: (- (log (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))) (log (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))))) (log (/ (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))))) (exp (/ (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))))) (/ (* (* (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))) (* (* (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N))))) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))))) (* (cbrt (/ (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))))) (cbrt (/ (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N))))))) (cbrt (/ (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))))) (* (* (/ (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N))))) (/ (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))))) (/ (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))))) (sqrt (/ (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))))) (sqrt (/ (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))))) (- (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))) (- (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N))))) (/ (pow (/ 1.0 N) 3) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N))))) (/ (pow (/ 0.5 (* N N)) 3) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N))))) (/ (* (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))) (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (* (cbrt (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N))))) (cbrt (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N))))))) (/ (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))) (cbrt (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))))) (/ (* (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))) (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (sqrt (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 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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)) 15.702 * * [simplify]: Extracting # 0 : cost 0 15.703 * * [simplify]: Extracting # 1 : cost 0 15.704 * * [simplify]: Extracting # 2 : cost 0 15.706 * * [simplify]: Extracting # 3 : cost 0 15.707 * * [simplify]: Extracting # 4 : cost 0 15.709 * * [simplify]: Extracting # 5 : cost 0 15.711 * * [simplify]: Extracting # 6 : cost 0 15.712 * * [simplify]: Extracting # 7 : cost 0 15.713 * * [simplify]: Extracting # 8 : cost 0 15.715 * * [simplify]: Extracting # 9 : cost 0 15.716 * * [simplify]: Extracting # 10 : cost 0 15.718 * * [simplify]: iteration 0 : 449 enodes (cost 17394 ) 15.932 * * [simplify]: Extracting # 0 : cost 0 15.935 * * [simplify]: Extracting # 1 : cost 0 15.939 * * [simplify]: Extracting # 2 : cost 0 15.943 * * [simplify]: Extracting # 3 : cost 0 15.946 * * [simplify]: Extracting # 4 : cost 0 15.949 * * [simplify]: Extracting # 5 : cost 0 15.953 * * [simplify]: iteration 1 : 1295 enodes (cost 16838 ) 16.531 * * [simplify]: Extracting # 0 : cost 0 16.541 * * [simplify]: Extracting # 1 : cost 0 16.554 * * [simplify]: Extracting # 2 : cost 0 16.568 * * [simplify]: Extracting # 3 : cost 0 16.582 * * [simplify]: Extracting # 4 : cost 0 16.595 * * [simplify]: Extracting # 5 : cost 0 16.612 * * [simplify]: iteration done: 5000 enodes (cost 16578 ) 16.622 * [simplify]: Simplified to: (log (/ (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))))) (log (/ (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))))) (exp (/ (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))))) (pow (/ (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N))))) 3) (* (cbrt (/ (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) 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N)))) (cbrt (/ 0.5 (* N N))) (pow (/ 0.5 (* N N)) 3) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 (pow N 3)) (/ 0.125 (pow N 6))) (- (/ 1.0 (pow N 3)) (/ 0.125 (pow N 6))) (- (/ 1.0 (pow N 3)) (/ 0.125 (pow N 6))) (- (+ (/ 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) 16.631 * * * [progress]: adding candidates to table 18.667 * [progress]: [Phase 3 of 3] Extracting. 18.667 * * [regime]: Finding splitpoints for: (# # #) 18.668 * * * [regime-changes]: Trying 1 branch expressions: (N) 18.668 * * * * [regimes]: Trying to branch on N from (# # #) 18.734 * * * [regime]: Found split indices: #