22.503 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.087 * * * [progress]: [2/2] Setting up program. 0.094 * [progress]: [Phase 2 of 3] Improving. 0.094 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.094 * * [simplify]: iteration 0: 6 enodes 0.096 * * [simplify]: iteration 1: 9 enodes 0.098 * * [simplify]: iteration 2: 10 enodes 0.101 * * [simplify]: iteration complete: 10 enodes 0.101 * * [simplify]: Extracting #0: cost 1 inf + 0 0.101 * * [simplify]: Extracting #1: cost 4 inf + 0 0.101 * * [simplify]: Extracting #2: cost 6 inf + 0 0.101 * * [simplify]: Extracting #3: cost 6 inf + 1 0.101 * * [simplify]: Extracting #4: cost 0 inf + 560 0.101 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.102 * * [progress]: iteration 1 / 4 0.102 * * * [progress]: picking best candidate 0.109 * * * * [pick]: Picked # 0.109 * * * [progress]: localizing error 0.153 * * * [progress]: generating rewritten candidates 0.153 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.160 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.181 * * * [progress]: generating series expansions 0.181 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.181 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.181 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.181 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.181 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.181 * [taylor]: Taking taylor expansion of N in N 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [taylor]: Taking taylor expansion of 1.0 in N 0.181 * [backup-simplify]: Simplify 1.0 into 1.0 0.182 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.183 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.183 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.183 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [taylor]: Taking taylor expansion of 1.0 in N 0.183 * [backup-simplify]: Simplify 1.0 into 1.0 0.183 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.184 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.184 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.185 * [backup-simplify]: Simplify (+ 1 0) into 1 0.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.190 * [backup-simplify]: Simplify 1.0 into 1.0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [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)) 0.203 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.205 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.205 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.205 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.205 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [taylor]: Taking taylor expansion of 1.0 in N 0.206 * [backup-simplify]: Simplify 1.0 into 1.0 0.206 * [backup-simplify]: Simplify (+ 1 0) into 1 0.207 * [backup-simplify]: Simplify (log 1) into 0 0.207 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.207 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.207 * [taylor]: Taking taylor expansion of N in N 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [taylor]: Taking taylor expansion of 1.0 in N 0.208 * [backup-simplify]: Simplify 1.0 into 1.0 0.208 * [backup-simplify]: Simplify (+ 1 0) into 1 0.208 * [backup-simplify]: Simplify (log 1) into 0 0.209 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.209 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.217 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.217 * [backup-simplify]: Simplify 1.0 into 1.0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [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 0.230 * [backup-simplify]: Simplify -0.5 into -0.5 0.230 * [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)))) 0.230 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.230 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.230 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.230 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.231 * [taylor]: Taking taylor expansion of 1.0 in N 0.231 * [backup-simplify]: Simplify 1.0 into 1.0 0.231 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.231 * [taylor]: Taking taylor expansion of N in N 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [backup-simplify]: Simplify (- 1) into -1 0.232 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.232 * [backup-simplify]: Simplify (log -1) into (log -1) 0.232 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.232 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.232 * [taylor]: Taking taylor expansion of 1.0 in N 0.232 * [backup-simplify]: Simplify 1.0 into 1.0 0.232 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.232 * [taylor]: Taking taylor expansion of N in N 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [backup-simplify]: Simplify (- 1) into -1 0.234 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.234 * [backup-simplify]: Simplify (log -1) into (log -1) 0.235 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.235 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (- 0) into 0 0.237 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.244 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.244 * [backup-simplify]: Simplify -1.0 into -1.0 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [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 0.257 * [backup-simplify]: Simplify -0.5 into -0.5 0.258 * [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)))) 0.258 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.259 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.259 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.259 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.259 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.259 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.259 * [taylor]: Taking taylor expansion of N in N 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of 1.0 in N 0.259 * [backup-simplify]: Simplify 1.0 into 1.0 0.259 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.260 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.260 * [taylor]: Taking taylor expansion of (log N) in N 0.260 * [taylor]: Taking taylor expansion of N in N 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (log 1) into 0 0.260 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.260 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.260 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.260 * [taylor]: Taking taylor expansion of N in N 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of 1.0 in N 0.260 * [backup-simplify]: Simplify 1.0 into 1.0 0.261 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.261 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.261 * [taylor]: Taking taylor expansion of (log N) in N 0.261 * [taylor]: Taking taylor expansion of N in N 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (log 1) into 0 0.262 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.262 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.263 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.263 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.264 * [backup-simplify]: Simplify (+ 1 0) into 1 0.269 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.270 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.271 * [backup-simplify]: Simplify 1.0 into 1.0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.292 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.293 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.300 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.304 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.305 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.305 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.305 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.305 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.305 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.305 * [taylor]: Taking taylor expansion of N in N 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (/ 1 1) into 1 0.306 * [taylor]: Taking taylor expansion of 1.0 in N 0.306 * [backup-simplify]: Simplify 1.0 into 1.0 0.307 * [backup-simplify]: Simplify (+ 1 0) into 1 0.307 * [backup-simplify]: Simplify (log 1) into 0 0.307 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.307 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.307 * [taylor]: Taking taylor expansion of N in N 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [backup-simplify]: Simplify (log 1) into 0 0.308 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.308 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.308 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.308 * [taylor]: Taking taylor expansion of N in N 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of 1.0 in N 0.309 * [backup-simplify]: Simplify 1.0 into 1.0 0.310 * [backup-simplify]: Simplify (+ 1 0) into 1 0.310 * [backup-simplify]: Simplify (log 1) into 0 0.310 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.310 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.310 * [taylor]: Taking taylor expansion of N in N 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.311 * [backup-simplify]: Simplify (log 1) into 0 0.312 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.313 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.313 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.313 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.321 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.324 * [backup-simplify]: Simplify 1.0 into 1.0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [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 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.342 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.367 * [backup-simplify]: Simplify (- 0) into 0 0.368 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.368 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.368 * [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)))) 0.368 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.369 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.369 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.369 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.369 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.369 * [taylor]: Taking taylor expansion of 1.0 in N 0.369 * [backup-simplify]: Simplify 1.0 into 1.0 0.369 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.369 * [taylor]: Taking taylor expansion of N in N 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [backup-simplify]: Simplify (- 1) into -1 0.369 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.370 * [backup-simplify]: Simplify (log -1) into (log -1) 0.370 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.370 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.370 * [taylor]: Taking taylor expansion of -1 in N 0.370 * [backup-simplify]: Simplify -1 into -1 0.370 * [taylor]: Taking taylor expansion of N in N 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (/ -1 1) into -1 0.370 * [backup-simplify]: Simplify (log -1) into (log -1) 0.370 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.370 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.370 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.370 * [taylor]: Taking taylor expansion of 1.0 in N 0.370 * [backup-simplify]: Simplify 1.0 into 1.0 0.370 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.370 * [taylor]: Taking taylor expansion of N in N 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [backup-simplify]: Simplify (- 1) into -1 0.371 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.371 * [backup-simplify]: Simplify (log -1) into (log -1) 0.371 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.371 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.371 * [taylor]: Taking taylor expansion of -1 in N 0.371 * [backup-simplify]: Simplify -1 into -1 0.371 * [taylor]: Taking taylor expansion of N in N 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (/ -1 1) into -1 0.372 * [backup-simplify]: Simplify (log -1) into (log -1) 0.373 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.373 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.373 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.374 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.379 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.380 * [backup-simplify]: Simplify (- 0) into 0 0.381 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.381 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [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 0.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.390 * [backup-simplify]: Simplify (- 0) into 0 0.391 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.391 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (- 0) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [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 0.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.412 * [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 0.413 * [backup-simplify]: Simplify (- 0) into 0 0.413 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.414 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.416 * [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)))) 0.416 * * * [progress]: simplifying candidates 0.417 * [simplify]: Simplifying: (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.418 * * [simplify]: iteration 0: 101 enodes 0.460 * * [simplify]: iteration 1: 213 enodes 0.533 * * [simplify]: iteration 2: 538 enodes 0.763 * * [simplify]: iteration 3: 1603 enodes 1.877 * * [simplify]: iteration 4: 4941 enodes 2.941 * * [simplify]: iteration complete: 5003 enodes 2.941 * * [simplify]: Extracting #0: cost 39 inf + 0 2.941 * * [simplify]: Extracting #1: cost 324 inf + 1 2.944 * * [simplify]: Extracting #2: cost 1071 inf + 3241 2.953 * * [simplify]: Extracting #3: cost 998 inf + 49885 2.995 * * [simplify]: Extracting #4: cost 268 inf + 153066 3.041 * * [simplify]: Extracting #5: cost 25 inf + 215114 3.097 * * [simplify]: Extracting #6: cost 0 inf + 223302 3.146 * * [simplify]: Extracting #7: cost 0 inf + 223262 3.215 * [simplify]: Simplified to: (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) 0 (log (+ 1.0 N)) 0 (log (+ 1.0 N)) (log (+ (* N (* N N)) (* (* 1.0 1.0) 1.0))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (+ 1.0 N) (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (/ (+ 1.0 N) N) (log (- (log (+ 1.0 N)) (log N))) (/ (+ 1.0 N) N) (* (cbrt (- (log (+ 1.0 N)) (log N))) (cbrt (- (log (+ 1.0 N)) (log N)))) (cbrt (- (log (+ 1.0 N)) (log N))) (* (* (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N))) (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (- (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (* (log N) (* (log N) (log N)))) (+ (* (log N) (log N)) (* (+ (log (+ 1.0 N)) (log N)) (log (+ 1.0 N)))) (- (log N)) (* (+ (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N))) (+ (log (+ 1.0 N)) (log N)) (+ (sqrt (log N)) (sqrt (log (+ 1.0 N)))) (- (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (- (log (+ 1.0 N)) (log (cbrt N))) (log (cbrt N))) (- (log (+ 1.0 N)) (log (sqrt N))) (log (+ 1.0 N)) (- (log (cbrt (+ 1.0 N))) (log N)) (- (log (sqrt (+ 1.0 N))) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (+ (log N) (log (+ (* N N) (* 1.0 (- 1.0 N))))) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (log 1.0) (- (* (* (/ N 1.0) (/ N 1.0)) 1/2) (* N 1.0))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (log 1.0) (- (* N 1.0) (log N))) (* (* (/ N 1.0) (/ N 1.0)) 1/2)) (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)) (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)) 3.217 * * * [progress]: adding candidates to table 3.376 * * [progress]: iteration 2 / 4 3.376 * * * [progress]: picking best candidate 3.387 * * * * [pick]: Picked # 3.387 * * * [progress]: localizing error 3.420 * * * [progress]: generating rewritten candidates 3.420 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.502 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.514 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.527 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.827 * * * [progress]: generating series expansions 3.828 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.828 * [backup-simplify]: Simplify (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 3.828 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 3.828 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 3.828 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.828 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.828 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.828 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.828 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.828 * [taylor]: Taking taylor expansion of N in N 3.828 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify 1 into 1 3.829 * [backup-simplify]: Simplify (* 1 1) into 1 3.830 * [backup-simplify]: Simplify (* 1 1) into 1 3.830 * [backup-simplify]: Simplify (/ 1 1) into 1 3.830 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.830 * [taylor]: Taking taylor expansion of 0.5 in N 3.830 * [backup-simplify]: Simplify 0.5 into 0.5 3.830 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.830 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.830 * [taylor]: Taking taylor expansion of N in N 3.830 * [backup-simplify]: Simplify 0 into 0 3.830 * [backup-simplify]: Simplify 1 into 1 3.831 * [backup-simplify]: Simplify (* 1 1) into 1 3.831 * [backup-simplify]: Simplify (/ 1 1) into 1 3.831 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 3.831 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.831 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.831 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.831 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.831 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.831 * [taylor]: Taking taylor expansion of N in N 3.831 * [backup-simplify]: Simplify 0 into 0 3.831 * [backup-simplify]: Simplify 1 into 1 3.832 * [backup-simplify]: Simplify (* 1 1) into 1 3.832 * [backup-simplify]: Simplify (* 1 1) into 1 3.832 * [backup-simplify]: Simplify (/ 1 1) into 1 3.832 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.832 * [taylor]: Taking taylor expansion of 0.5 in N 3.832 * [backup-simplify]: Simplify 0.5 into 0.5 3.832 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.832 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.833 * [taylor]: Taking taylor expansion of N in N 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify 1 into 1 3.833 * [backup-simplify]: Simplify (* 1 1) into 1 3.833 * [backup-simplify]: Simplify (/ 1 1) into 1 3.834 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.834 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.834 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.837 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.837 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.838 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.839 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.839 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.842 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.845 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.845 * [backup-simplify]: Simplify (- 0) into 0 3.845 * [backup-simplify]: Simplify (+ 0 0) into 0 3.845 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.849 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.852 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.853 * [backup-simplify]: Simplify (- 0) into 0 3.853 * [backup-simplify]: Simplify (+ 0 0) into 0 3.853 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.858 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.861 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.861 * [backup-simplify]: Simplify (- 0) into 0 3.861 * [backup-simplify]: Simplify (+ 0 0) into 0 3.862 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.867 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.871 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.871 * [backup-simplify]: Simplify (- 0) into 0 3.871 * [backup-simplify]: Simplify (+ 0 0) into 0 3.871 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.877 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.881 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.882 * [backup-simplify]: Simplify (- 0) into 0 3.882 * [backup-simplify]: Simplify (+ 0 0) into 0 3.882 * [backup-simplify]: Simplify 0 into 0 3.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.887 * [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 3.888 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.893 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.893 * [backup-simplify]: Simplify (- 0) into 0 3.893 * [backup-simplify]: Simplify (+ 0 0) into 0 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 3.895 * [backup-simplify]: Simplify (- (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (/ 0.5 (* (/ 1 N) (/ 1 N)))) into (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) 3.895 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 3.895 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 3.895 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.895 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.895 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.895 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.895 * [taylor]: Taking taylor expansion of N in N 3.895 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify 1 into 1 3.895 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.895 * [taylor]: Taking taylor expansion of 0.5 in N 3.895 * [backup-simplify]: Simplify 0.5 into 0.5 3.895 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.895 * [taylor]: Taking taylor expansion of N in N 3.895 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify 1 into 1 3.895 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 3.895 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.895 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.895 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.896 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.896 * [taylor]: Taking taylor expansion of N in N 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 1 into 1 3.896 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.896 * [taylor]: Taking taylor expansion of 0.5 in N 3.896 * [backup-simplify]: Simplify 0.5 into 0.5 3.896 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.896 * [taylor]: Taking taylor expansion of N in N 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 1 into 1 3.896 * [backup-simplify]: Simplify (* 1 1) into 1 3.897 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.897 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.898 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.898 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.899 * [backup-simplify]: Simplify (* 1 1) into 1 3.899 * [backup-simplify]: Simplify (* 1 1) into 1 3.900 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.901 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.901 * [backup-simplify]: Simplify (- 0) into 0 3.902 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.902 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.904 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.906 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.906 * [backup-simplify]: Simplify (- 0) into 0 3.906 * [backup-simplify]: Simplify (+ 0 0) into 0 3.906 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.909 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.911 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.912 * [backup-simplify]: Simplify (- 0) into 0 3.912 * [backup-simplify]: Simplify (+ 0 0) into 0 3.912 * [backup-simplify]: Simplify 0 into 0 3.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.915 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.920 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.920 * [backup-simplify]: Simplify (- 0) into 0 3.920 * [backup-simplify]: Simplify (+ 0 0) into 0 3.920 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.922 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.924 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.924 * [backup-simplify]: Simplify (- 0) into 0 3.924 * [backup-simplify]: Simplify (+ 0 0) into 0 3.924 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.927 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.929 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.929 * [backup-simplify]: Simplify (- 0) into 0 3.929 * [backup-simplify]: Simplify (+ 0 0) into 0 3.929 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.932 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.934 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.934 * [backup-simplify]: Simplify (- 0) into 0 3.934 * [backup-simplify]: Simplify (+ 0 0) into 0 3.934 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (* (- 0.5) (pow (/ 1 N) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 3.935 * [backup-simplify]: Simplify (- (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) 3.935 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in (N) around 0 3.935 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 3.935 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 3.935 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.935 * [taylor]: Taking taylor expansion of 0.5 in N 3.935 * [backup-simplify]: Simplify 0.5 into 0.5 3.935 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.935 * [taylor]: Taking taylor expansion of N in N 3.935 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify 1 into 1 3.935 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.935 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.935 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.935 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.935 * [taylor]: Taking taylor expansion of N in N 3.935 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify 1 into 1 3.935 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 3.935 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 3.935 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.935 * [taylor]: Taking taylor expansion of 0.5 in N 3.935 * [backup-simplify]: Simplify 0.5 into 0.5 3.935 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.935 * [taylor]: Taking taylor expansion of N in N 3.935 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify 1 into 1 3.935 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.935 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.935 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.936 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.936 * [taylor]: Taking taylor expansion of N in N 3.936 * [backup-simplify]: Simplify 0 into 0 3.936 * [backup-simplify]: Simplify 1 into 1 3.936 * [backup-simplify]: Simplify (* 1 1) into 1 3.936 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.936 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.937 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.937 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.938 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.938 * [backup-simplify]: Simplify (* 1 1) into 1 3.938 * [backup-simplify]: Simplify (* 1 1) into 1 3.939 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.939 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.939 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.939 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.940 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.942 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.942 * [backup-simplify]: Simplify (+ 0 0) into 0 3.942 * [backup-simplify]: Simplify (- 0) into 0 3.942 * [backup-simplify]: Simplify 0 into 0 3.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.943 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.945 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.945 * [backup-simplify]: Simplify (+ 0 0) into 0 3.945 * [backup-simplify]: Simplify (- 0) into 0 3.945 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.947 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.950 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.950 * [backup-simplify]: Simplify (+ 0 0) into 0 3.951 * [backup-simplify]: Simplify (- 0) into 0 3.951 * [backup-simplify]: Simplify 0 into 0 3.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.953 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.957 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.958 * [backup-simplify]: Simplify (+ 0 0) into 0 3.958 * [backup-simplify]: Simplify (- 0) into 0 3.958 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.961 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.965 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.966 * [backup-simplify]: Simplify (+ 0 0) into 0 3.966 * [backup-simplify]: Simplify (- 0) into 0 3.966 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.970 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.974 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.975 * [backup-simplify]: Simplify (+ 0 0) into 0 3.975 * [backup-simplify]: Simplify (- 0) into 0 3.975 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (* (- 0.5) (pow (/ 1 (- N)) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 3.976 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.976 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 3.976 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 3.976 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 3.976 * [taylor]: Taking taylor expansion of 0.5 in N 3.977 * [backup-simplify]: Simplify 0.5 into 0.5 3.977 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.977 * [taylor]: Taking taylor expansion of N in N 3.977 * [backup-simplify]: Simplify 0 into 0 3.977 * [backup-simplify]: Simplify 1 into 1 3.977 * [backup-simplify]: Simplify (* 1 1) into 1 3.978 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 3.978 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 3.978 * [taylor]: Taking taylor expansion of 0.5 in N 3.978 * [backup-simplify]: Simplify 0.5 into 0.5 3.978 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.978 * [taylor]: Taking taylor expansion of N in N 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.978 * [backup-simplify]: Simplify (* 1 1) into 1 3.979 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 3.979 * [backup-simplify]: Simplify 0.5 into 0.5 3.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 3.980 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.982 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.984 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.986 * [backup-simplify]: Simplify 0 into 0 3.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.989 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.991 * [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 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 3.992 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 3.992 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 3.992 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.992 * [taylor]: Taking taylor expansion of 0.5 in N 3.992 * [backup-simplify]: Simplify 0.5 into 0.5 3.992 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.992 * [taylor]: Taking taylor expansion of N in N 3.992 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify 1 into 1 3.992 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.992 * [taylor]: Taking taylor expansion of 0.5 in N 3.992 * [backup-simplify]: Simplify 0.5 into 0.5 3.992 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.992 * [taylor]: Taking taylor expansion of N in N 3.992 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify 1 into 1 3.992 * [backup-simplify]: Simplify (* 1 1) into 1 3.993 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.993 * [backup-simplify]: Simplify 0.5 into 0.5 3.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.994 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.994 * [backup-simplify]: Simplify 0 into 0 3.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.996 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.996 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.998 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.998 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.001 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.001 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.003 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.003 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.007 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 4.007 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 4.007 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 4.007 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.007 * [taylor]: Taking taylor expansion of 0.5 in N 4.007 * [backup-simplify]: Simplify 0.5 into 0.5 4.007 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.007 * [taylor]: Taking taylor expansion of N in N 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify 1 into 1 4.007 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.007 * [taylor]: Taking taylor expansion of 0.5 in N 4.007 * [backup-simplify]: Simplify 0.5 into 0.5 4.007 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.007 * [taylor]: Taking taylor expansion of N in N 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify 1 into 1 4.008 * [backup-simplify]: Simplify (* 1 1) into 1 4.008 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.008 * [backup-simplify]: Simplify 0.5 into 0.5 4.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.010 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.010 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.012 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.012 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.014 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.014 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.016 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.019 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.019 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.022 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 4.022 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 4.023 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 N) (* N N)) into (/ 0.3333333333333333 (pow N 3)) 4.023 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 4.023 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 4.023 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.023 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.023 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.023 * [taylor]: Taking taylor expansion of N in N 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify 1 into 1 4.023 * [backup-simplify]: Simplify (* 1 1) into 1 4.024 * [backup-simplify]: Simplify (* 1 1) into 1 4.024 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 4.024 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 4.024 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.024 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.024 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.024 * [taylor]: Taking taylor expansion of N in N 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify 1 into 1 4.025 * [backup-simplify]: Simplify (* 1 1) into 1 4.025 * [backup-simplify]: Simplify (* 1 1) into 1 4.025 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 4.026 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 4.028 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.031 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.034 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.043 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.048 * [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 4.048 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 4.048 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))) into (* 0.3333333333333333 (pow N 3)) 4.048 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 4.048 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.048 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.048 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.048 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.048 * [taylor]: Taking taylor expansion of N in N 4.048 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify 1 into 1 4.049 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.049 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.049 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.049 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.049 * [taylor]: Taking taylor expansion of N in N 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify 1 into 1 4.049 * [backup-simplify]: Simplify (* 1 1) into 1 4.050 * [backup-simplify]: Simplify (* 1 1) into 1 4.050 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 4.050 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.052 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 4.052 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.056 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 4.056 * [backup-simplify]: Simplify 0 into 0 4.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.059 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.059 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.063 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.063 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.067 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.067 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.071 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.071 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 4.072 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) into (* -0.3333333333333333 (pow N 3)) 4.072 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 4.072 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 4.072 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 4.072 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 4.072 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.072 * [taylor]: Taking taylor expansion of N in N 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 1 into 1 4.072 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 4.072 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 4.072 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 4.072 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.072 * [taylor]: Taking taylor expansion of N in N 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 1 into 1 4.073 * [backup-simplify]: Simplify (* 1 1) into 1 4.073 * [backup-simplify]: Simplify (* 1 1) into 1 4.074 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 4.074 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 4.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.076 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 4.076 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.079 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 4.079 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.082 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.082 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.086 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.086 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.090 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.090 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.095 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.095 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 4.095 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.096 * [backup-simplify]: Simplify (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 4.096 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 4.096 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 4.096 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 4.096 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 4.096 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.096 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.096 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 4.096 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.096 * [taylor]: Taking taylor expansion of N in N 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify 1 into 1 4.097 * [backup-simplify]: Simplify (* 1 1) into 1 4.097 * [backup-simplify]: Simplify (* 1 1) into 1 4.097 * [backup-simplify]: Simplify (/ 1 1) into 1 4.098 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 4.098 * [taylor]: Taking taylor expansion of 1.0 in N 4.098 * [backup-simplify]: Simplify 1.0 into 1.0 4.098 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.098 * [taylor]: Taking taylor expansion of N in N 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 1 into 1 4.098 * [backup-simplify]: Simplify (/ 1 1) into 1 4.098 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 4.098 * [taylor]: Taking taylor expansion of 0.5 in N 4.098 * [backup-simplify]: Simplify 0.5 into 0.5 4.098 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.098 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.098 * [taylor]: Taking taylor expansion of N in N 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 1 into 1 4.099 * [backup-simplify]: Simplify (* 1 1) into 1 4.099 * [backup-simplify]: Simplify (/ 1 1) into 1 4.099 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 4.099 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 4.099 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 4.099 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.099 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.099 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 4.099 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.099 * [taylor]: Taking taylor expansion of N in N 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 1 into 1 4.099 * [backup-simplify]: Simplify (* 1 1) into 1 4.100 * [backup-simplify]: Simplify (* 1 1) into 1 4.100 * [backup-simplify]: Simplify (/ 1 1) into 1 4.100 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 4.100 * [taylor]: Taking taylor expansion of 1.0 in N 4.100 * [backup-simplify]: Simplify 1.0 into 1.0 4.100 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.100 * [taylor]: Taking taylor expansion of N in N 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.100 * [backup-simplify]: Simplify (/ 1 1) into 1 4.100 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 4.100 * [taylor]: Taking taylor expansion of 0.5 in N 4.100 * [backup-simplify]: Simplify 0.5 into 0.5 4.100 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.100 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.100 * [taylor]: Taking taylor expansion of N in N 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.100 * [backup-simplify]: Simplify (* 1 1) into 1 4.101 * [backup-simplify]: Simplify (/ 1 1) into 1 4.101 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 4.101 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.102 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.102 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.103 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 4.104 * [backup-simplify]: Simplify (+ 0 0) into 0 4.104 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.104 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.105 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.105 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.107 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 4.107 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.107 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.109 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.109 * [backup-simplify]: Simplify (- 0) into 0 4.109 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.109 * [backup-simplify]: Simplify 1.0 into 1.0 4.110 * [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)))) 4.110 * [backup-simplify]: Simplify (+ (- (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (/ 0.5 (* (/ 1 N) (/ 1 N)))) (/ 1.0 (/ 1 N))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 4.110 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 4.110 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 4.110 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 4.110 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.110 * [taylor]: Taking taylor expansion of 1.0 in N 4.110 * [backup-simplify]: Simplify 1.0 into 1.0 4.110 * [taylor]: Taking taylor expansion of N in N 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 1 into 1 4.110 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.110 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.110 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.110 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.110 * [taylor]: Taking taylor expansion of N in N 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 1 into 1 4.110 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.110 * [taylor]: Taking taylor expansion of 0.5 in N 4.111 * [backup-simplify]: Simplify 0.5 into 0.5 4.111 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.111 * [taylor]: Taking taylor expansion of N in N 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 4.111 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 4.111 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.111 * [taylor]: Taking taylor expansion of 1.0 in N 4.111 * [backup-simplify]: Simplify 1.0 into 1.0 4.111 * [taylor]: Taking taylor expansion of N in N 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.111 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.111 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.111 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.111 * [taylor]: Taking taylor expansion of N in N 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.111 * [taylor]: Taking taylor expansion of 0.5 in N 4.111 * [backup-simplify]: Simplify 0.5 into 0.5 4.111 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.111 * [taylor]: Taking taylor expansion of N in N 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.111 * [backup-simplify]: Simplify (+ 0 0) into 0 4.112 * [backup-simplify]: Simplify (+ 0 0) into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.113 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.113 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.113 * [backup-simplify]: Simplify 1.0 into 1.0 4.114 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.114 * [backup-simplify]: Simplify (+ 0 0) into 0 4.114 * [backup-simplify]: Simplify (* 1 1) into 1 4.114 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.115 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.115 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.115 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.116 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.116 * [backup-simplify]: Simplify (* 1 1) into 1 4.117 * [backup-simplify]: Simplify (* 1 1) into 1 4.117 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 4.117 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 4.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.118 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.118 * [backup-simplify]: Simplify (- 0) into 0 4.118 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.118 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.119 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 4.120 * [backup-simplify]: Simplify (+ (- (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) (/ 1.0 (/ 1 (- N)))) into (- (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) 4.120 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) in (N) around 0 4.120 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) in N 4.120 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) in N 4.120 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.120 * [taylor]: Taking taylor expansion of 1.0 in N 4.120 * [backup-simplify]: Simplify 1.0 into 1.0 4.120 * [taylor]: Taking taylor expansion of N in N 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 1 into 1 4.120 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 4.120 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.120 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.120 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.120 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.120 * [taylor]: Taking taylor expansion of N in N 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 1 into 1 4.120 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.120 * [taylor]: Taking taylor expansion of 0.5 in N 4.120 * [backup-simplify]: Simplify 0.5 into 0.5 4.120 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.120 * [taylor]: Taking taylor expansion of N in N 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 1 into 1 4.120 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) in N 4.120 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) in N 4.120 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.120 * [taylor]: Taking taylor expansion of 1.0 in N 4.120 * [backup-simplify]: Simplify 1.0 into 1.0 4.120 * [taylor]: Taking taylor expansion of N in N 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 1 into 1 4.120 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 4.120 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.120 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.120 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.120 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.120 * [taylor]: Taking taylor expansion of N in N 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 1 into 1 4.120 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.120 * [taylor]: Taking taylor expansion of 0.5 in N 4.120 * [backup-simplify]: Simplify 0.5 into 0.5 4.120 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.120 * [taylor]: Taking taylor expansion of N in N 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 1 into 1 4.121 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.121 * [backup-simplify]: Simplify (+ 0 0) into 0 4.121 * [backup-simplify]: Simplify (- 0) into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.123 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.123 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.123 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.124 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.124 * [backup-simplify]: Simplify (* 1 1) into 1 4.124 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.124 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 4.125 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 4.125 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.125 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.126 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.126 * [backup-simplify]: Simplify (* 1 1) into 1 4.126 * [backup-simplify]: Simplify (* 1 1) into 1 4.127 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 4.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.128 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.129 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.129 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 4.129 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 4.130 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 4.131 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 4.132 * * * [progress]: simplifying candidates 4.135 * [simplify]: Simplifying: (/ (exp (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ 0.5 (* N N)))) (log (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (exp (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (- (/ 0.3333333333333333 N) 0.5) (- (* (/ 0.3333333333333333 N) (* N N)) (* (* N N) 0.5)) (* (* N N) (* N N)) (- (pow (/ (/ 0.3333333333333333 N) (* N N)) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) (- (/ 0.5 (* N N))) (- (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (+ (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (/ (sqrt 0.5) N)) (- (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (/ (sqrt 0.5) N)) (+ (/ (sqrt (/ 0.3333333333333333 N)) N) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt (/ 0.3333333333333333 N)) N) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt 0.5) N)) (- (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt 0.5) N)) (+ (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (sqrt (/ 0.5 (* N N)))) (- (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (sqrt (/ 0.5 (* N N)))) (+ (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (sqrt 0.5) N)) (- (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (sqrt 0.5) N)) (- (/ (/ 0.3333333333333333 N) N) (/ 0.5 N)) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.5 (* N N))) (- (log 0.5) (+ (log N) (log N))) (- (log 0.5) (log (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N))) (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) (- (- (log 0.3333333333333333) (log N)) (+ (log N) (log N))) (- (- (log 0.3333333333333333) (log N)) (log (* N N))) (- (log (/ 0.3333333333333333 N)) (+ (log N) (log N))) (- (log (/ 0.3333333333333333 N)) (log (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (* (* (* N N) N) (* (* N N) N))) (/ (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (* (* (* N N) (* N N)) (* N N))) (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* (* (* N N) N) (* (* N N) N))) (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (cbrt (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.3333333333333333 N)) (- (* N N)) (/ (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) N) (/ (cbrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) N) (/ (/ (cbrt 0.3333333333333333) (cbrt N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) N) (/ (/ (cbrt 0.3333333333333333) (sqrt N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) N) (/ (/ (cbrt 0.3333333333333333) N) N) (/ (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) N) (/ (/ (sqrt 0.3333333333333333) (cbrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) 1) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) N) (/ (/ 0.3333333333333333 (cbrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 0.3333333333333333 (sqrt N)) N) (/ (/ 1 1) N) (/ (/ 0.3333333333333333 N) N) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ 1 (* N N)) (/ (* N N) (/ 0.3333333333333333 N)) (/ (/ 0.3333333333333333 N) N) (/ (* N N) (cbrt (/ 0.3333333333333333 N))) (/ (* N N) (sqrt (/ 0.3333333333333333 N))) (/ (* N N) (/ (cbrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (cbrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (cbrt 0.3333333333333333) N)) (/ (* N N) (/ (sqrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) N)) (/ (* N N) (/ 0.3333333333333333 (cbrt N))) (/ (* N N) (/ 0.3333333333333333 (sqrt N))) (/ (* N N) (/ 0.3333333333333333 N)) (/ (* N N) (/ 0.3333333333333333 N)) (/ (* N N) (/ 1 N)) (* (* N N) N) (* (/ (exp (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ 0.5 (* N N)))) (exp (/ 1.0 N))) (* (exp (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (exp (/ 1.0 N))) (log (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (exp (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (* (cbrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (cbrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)))) (cbrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (* (* (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)) (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (sqrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (sqrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (+ (* (- (/ 0.3333333333333333 N) 0.5) N) (* (* N N) 1.0)) (* (* N N) N) (+ (* (- (* (/ 0.3333333333333333 N) (* N N)) (* (* N N) 0.5)) N) (* (* (* N N) (* N N)) 1.0)) (* (* (* N N) (* N N)) N) (+ (* (- (pow (/ (/ 0.3333333333333333 N) (* N N)) 3) (pow (/ 0.5 (* N N)) 3)) N) (* (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) 1.0)) (* (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) N) (+ (* (- (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) N) (* (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) 1.0)) (* (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) N) (+ (pow (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) 3) (pow (/ 1.0 N) 3)) (+ (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)))) (- (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N))) (- (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)) (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)) (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)) (+ (- (/ 0.5 (* N N))) (/ 1.0 N)) (+ (- (/ 0.5 (* N N))) (/ 1.0 N)) (- (/ 0.5 (* N N)) (/ 1.0 N)) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 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)) (* 0.3333333333333333 (/ 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)))) 4.140 * * [simplify]: iteration 0: 215 enodes 4.213 * * [simplify]: iteration 1: 553 enodes 4.489 * * [simplify]: iteration 2: 1816 enodes 5.336 * * [simplify]: iteration complete: 5001 enodes 5.337 * * [simplify]: Extracting #0: cost 108 inf + 0 5.340 * * [simplify]: Extracting #1: cost 977 inf + 0 5.351 * * [simplify]: Extracting #2: cost 1850 inf + 1164 5.373 * * [simplify]: Extracting #3: cost 1718 inf + 48896 5.428 * * [simplify]: Extracting #4: cost 755 inf + 245283 5.547 * * [simplify]: Extracting #5: cost 109 inf + 417496 5.649 * * [simplify]: Extracting #6: cost 1 inf + 454342 5.753 * * [simplify]: Extracting #7: cost 0 inf + 454276 5.904 * [simplify]: Simplified to: (exp (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (log (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (exp (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (- (/ 0.3333333333333333 N) 0.5) (- (* (/ 0.3333333333333333 N) (* N N)) (* N (* 0.5 N))) (* (* N N) (* N N)) (- (* (/ (/ 0.3333333333333333 N) (* N N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (/ (- 0.5) (* N N)) (* (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (+ (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (/ (sqrt 0.5) N)) (- (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (/ (sqrt 0.5) N)) (+ (sqrt (/ 0.5 (* N N))) (/ (sqrt (/ 0.3333333333333333 N)) N)) (- (/ (sqrt (/ 0.3333333333333333 N)) N) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.5) N) (/ (sqrt (/ 0.3333333333333333 N)) N)) (- (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (* (sqrt N) N)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 0.3333333333333333) (* (sqrt N) N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.3333333333333333) (* (sqrt N) N)) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.3333333333333333) (* (sqrt N) N)) (/ (sqrt 0.5) N)) (- (/ (/ 0.3333333333333333 N) N) (/ 0.5 N)) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 N) 0.5) (/ (- 0.5) (* N N)) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (* (- N) N) (* (/ (cbrt 0.5) N) (cbrt 0.5)) (/ (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 (/ (sqrt 0.5) N)) (/ (* N N) 0.5) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (/ (/ 0.3333333333333333 N) (* N N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (/ (/ 0.3333333333333333 N) (* N N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (/ (/ 0.3333333333333333 N) (* N N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (cbrt (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (/ (- 0.3333333333333333) N) (* (- N) N) (/ (cbrt (/ 0.3333333333333333 N)) (/ N (cbrt (/ 0.3333333333333333 N)))) (/ (cbrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (/ (cbrt 0.3333333333333333) (cbrt N)) (/ N (/ (cbrt 0.3333333333333333) (cbrt N)))) (/ (/ (cbrt 0.3333333333333333) (cbrt N)) N) (/ (* (/ (cbrt 0.3333333333333333) N) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (* (sqrt N) N)) (* (/ (cbrt 0.3333333333333333) N) (cbrt 0.3333333333333333)) (/ (/ (cbrt 0.3333333333333333) N) N) (/ (/ (sqrt 0.3333333333333333) N) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 0.3333333333333333) N) (cbrt N)) (/ (sqrt 0.3333333333333333) (* (sqrt N) N)) (/ (sqrt 0.3333333333333333) (* (sqrt N) N)) (/ (sqrt 0.3333333333333333) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (/ (/ 1 (cbrt N)) (cbrt N)) N) (/ (/ 0.3333333333333333 (cbrt N)) N) (/ (/ 1 N) (sqrt N)) (/ 0.3333333333333333 (* (sqrt N) N)) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ (/ 1 N) N) (/ N (/ (/ 0.3333333333333333 N) N)) (/ (/ 0.3333333333333333 N) N) (/ (* N N) (cbrt (/ 0.3333333333333333 N))) (/ N (/ (sqrt (/ 0.3333333333333333 N)) N)) (/ N (/ (/ (cbrt 0.3333333333333333) (cbrt N)) N)) (* (sqrt N) (/ N (/ (cbrt 0.3333333333333333) N))) (/ N (/ (/ (cbrt 0.3333333333333333) N) N)) (/ (* N N) (/ (sqrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) N)) (* (/ N (/ 0.3333333333333333 N)) (cbrt N)) (/ (* (* N N) (sqrt N)) 0.3333333333333333) (/ N (/ (/ 0.3333333333333333 N) N)) (/ N (/ (/ 0.3333333333333333 N) N)) (* N (* N N)) (* N (* N N)) (exp (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (exp (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (log (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N)))) (exp (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (* (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N)))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N))))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N)))) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N))) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N))))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N)))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N)))) (* N (+ (* 1.0 N) (- (/ 0.3333333333333333 N) 0.5))) (* N (* N N)) (+ (* (- (* (/ 0.3333333333333333 N) (* N N)) (* N (* 0.5 N))) N) (* (* N N) (* (* N N) 1.0))) (* (* N (* N N)) (* N N)) (+ (* (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) 1.0) (* (- (* (/ (/ 0.3333333333333333 N) (* N N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) N)) (* (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) N) (+ (* (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) 1.0) (* (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) N))) (* (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) N) (+ (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) (* (* (/ 1.0 N) (/ 1.0 N)) (/ 1.0 N))) (+ (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (/ 1.0 N) (- (/ 1.0 N) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))))) (- (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 0.5 (* N N)) (/ 1.0 N)) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N)) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N)) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (+ (/ 1.0 N) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N))) 5.922 * * * [progress]: adding candidates to table 6.560 * * [progress]: iteration 3 / 4 6.561 * * * [progress]: picking best candidate 6.574 * * * * [pick]: Picked # 6.574 * * * [progress]: localizing error 6.591 * * * [progress]: generating rewritten candidates 6.591 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 6.601 * * * [progress]: generating series expansions 6.601 * * * * [progress]: [ 1 / 1 ] generating series at (2) 6.601 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 6.601 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 6.601 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.602 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.602 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.602 * [taylor]: Taking taylor expansion of N in N 6.602 * [backup-simplify]: Simplify 0 into 0 6.602 * [backup-simplify]: Simplify 1 into 1 6.602 * [taylor]: Taking taylor expansion of 1.0 in N 6.602 * [backup-simplify]: Simplify 1.0 into 1.0 6.602 * [taylor]: Taking taylor expansion of N in N 6.602 * [backup-simplify]: Simplify 0 into 0 6.602 * [backup-simplify]: Simplify 1 into 1 6.603 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.603 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.603 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.604 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.604 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.604 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.604 * [taylor]: Taking taylor expansion of N in N 6.604 * [backup-simplify]: Simplify 0 into 0 6.604 * [backup-simplify]: Simplify 1 into 1 6.604 * [taylor]: Taking taylor expansion of 1.0 in N 6.604 * [backup-simplify]: Simplify 1.0 into 1.0 6.604 * [taylor]: Taking taylor expansion of N in N 6.604 * [backup-simplify]: Simplify 0 into 0 6.604 * [backup-simplify]: Simplify 1 into 1 6.604 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.605 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.605 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.606 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.606 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 6.607 * [backup-simplify]: Simplify (+ 1 0) into 1 6.608 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 6.613 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.613 * [backup-simplify]: Simplify 1.0 into 1.0 6.614 * [backup-simplify]: Simplify (+ 0 0) into 0 6.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.625 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 6.626 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 6.628 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 6.628 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 6.628 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 6.628 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.628 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.628 * [taylor]: Taking taylor expansion of N in N 6.628 * [backup-simplify]: Simplify 0 into 0 6.628 * [backup-simplify]: Simplify 1 into 1 6.628 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.628 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.628 * [taylor]: Taking taylor expansion of N in N 6.628 * [backup-simplify]: Simplify 0 into 0 6.628 * [backup-simplify]: Simplify 1 into 1 6.629 * [backup-simplify]: Simplify (/ 1 1) into 1 6.629 * [taylor]: Taking taylor expansion of 1.0 in N 6.629 * [backup-simplify]: Simplify 1.0 into 1.0 6.629 * [backup-simplify]: Simplify (+ 1 0) into 1 6.630 * [backup-simplify]: Simplify (* 0 1) into 0 6.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.631 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.632 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.632 * [backup-simplify]: Simplify (log 1) into 0 6.632 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.632 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.632 * [taylor]: Taking taylor expansion of N in N 6.632 * [backup-simplify]: Simplify 0 into 0 6.632 * [backup-simplify]: Simplify 1 into 1 6.632 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.632 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.632 * [taylor]: Taking taylor expansion of N in N 6.632 * [backup-simplify]: Simplify 0 into 0 6.632 * [backup-simplify]: Simplify 1 into 1 6.633 * [backup-simplify]: Simplify (/ 1 1) into 1 6.633 * [taylor]: Taking taylor expansion of 1.0 in N 6.633 * [backup-simplify]: Simplify 1.0 into 1.0 6.633 * [backup-simplify]: Simplify (+ 1 0) into 1 6.634 * [backup-simplify]: Simplify (* 0 1) into 0 6.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.635 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.636 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.636 * [backup-simplify]: Simplify (log 1) into 0 6.636 * [backup-simplify]: Simplify 0 into 0 6.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.637 * [backup-simplify]: Simplify (+ 0 0) into 0 6.640 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.646 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.646 * [backup-simplify]: Simplify 1.0 into 1.0 6.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.646 * [backup-simplify]: Simplify (+ 0 0) into 0 6.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 6.654 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 6.654 * [backup-simplify]: Simplify -0.5 into -0.5 6.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.655 * [backup-simplify]: Simplify (+ 0 0) into 0 6.655 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 6.665 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 6.665 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.665 * [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)))) 6.665 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 6.665 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 6.665 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.665 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.665 * [taylor]: Taking taylor expansion of -1 in N 6.665 * [backup-simplify]: Simplify -1 into -1 6.665 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.665 * [taylor]: Taking taylor expansion of N in N 6.665 * [backup-simplify]: Simplify 0 into 0 6.665 * [backup-simplify]: Simplify 1 into 1 6.665 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.665 * [taylor]: Taking taylor expansion of 1.0 in N 6.665 * [backup-simplify]: Simplify 1.0 into 1.0 6.665 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.665 * [taylor]: Taking taylor expansion of N in N 6.665 * [backup-simplify]: Simplify 0 into 0 6.665 * [backup-simplify]: Simplify 1 into 1 6.666 * [backup-simplify]: Simplify (/ 1 1) into 1 6.666 * [backup-simplify]: Simplify (- 1) into -1 6.666 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.667 * [backup-simplify]: Simplify (* 0 -1) into 0 6.667 * [backup-simplify]: Simplify (* -1 0) into 0 6.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.667 * [backup-simplify]: Simplify (- 0) into 0 6.668 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.668 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.669 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.669 * [backup-simplify]: Simplify (log 1) into 0 6.669 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.669 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.669 * [taylor]: Taking taylor expansion of -1 in N 6.669 * [backup-simplify]: Simplify -1 into -1 6.669 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.669 * [taylor]: Taking taylor expansion of N in N 6.669 * [backup-simplify]: Simplify 0 into 0 6.669 * [backup-simplify]: Simplify 1 into 1 6.669 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.669 * [taylor]: Taking taylor expansion of 1.0 in N 6.669 * [backup-simplify]: Simplify 1.0 into 1.0 6.669 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.669 * [taylor]: Taking taylor expansion of N in N 6.669 * [backup-simplify]: Simplify 0 into 0 6.669 * [backup-simplify]: Simplify 1 into 1 6.669 * [backup-simplify]: Simplify (/ 1 1) into 1 6.670 * [backup-simplify]: Simplify (- 1) into -1 6.670 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.670 * [backup-simplify]: Simplify (* 0 -1) into 0 6.670 * [backup-simplify]: Simplify (* -1 0) into 0 6.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.671 * [backup-simplify]: Simplify (- 0) into 0 6.671 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.672 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.672 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.672 * [backup-simplify]: Simplify (log 1) into 0 6.672 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.673 * [backup-simplify]: Simplify (- 0) into 0 6.673 * [backup-simplify]: Simplify (+ 0 0) into 0 6.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.676 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.682 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 6.682 * [backup-simplify]: Simplify -1.0 into -1.0 6.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.683 * [backup-simplify]: Simplify (- 0) into 0 6.684 * [backup-simplify]: Simplify (+ 0 0) into 0 6.685 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 6.686 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 6.701 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 6.702 * [backup-simplify]: Simplify -0.5 into -0.5 6.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.703 * [backup-simplify]: Simplify (- 0) into 0 6.704 * [backup-simplify]: Simplify (+ 0 0) into 0 6.705 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 6.707 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 6.726 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 6.726 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.727 * [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)))) 6.727 * * * [progress]: simplifying candidates 6.728 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.729 * * [simplify]: iteration 0: 84 enodes 6.763 * * [simplify]: iteration 1: 169 enodes 6.805 * * [simplify]: iteration 2: 349 enodes 6.948 * * [simplify]: iteration 3: 1027 enodes 7.601 * * [simplify]: iteration 4: 3461 enodes 8.593 * * [simplify]: iteration complete: 5000 enodes 8.593 * * [simplify]: Extracting #0: cost 31 inf + 0 8.595 * * [simplify]: Extracting #1: cost 399 inf + 1 8.600 * * [simplify]: Extracting #2: cost 1190 inf + 1619 8.607 * * [simplify]: Extracting #3: cost 1344 inf + 18467 8.623 * * [simplify]: Extracting #4: cost 733 inf + 79864 8.668 * * [simplify]: Extracting #5: cost 363 inf + 150557 8.731 * * [simplify]: Extracting #6: cost 103 inf + 222078 8.814 * * [simplify]: Extracting #7: cost 7 inf + 258549 8.861 * * [simplify]: Extracting #8: cost 0 inf + 261323 8.930 * * [simplify]: Extracting #9: cost 0 inf + 261321 9.000 * [simplify]: Simplified to: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (+ (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (* (cbrt (+ N 1.0)) (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (+ (log 1.0) (* N 1.0)) (+ (log N) (* (* (/ N 1.0) (/ N 1.0)) 1/2))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) 9.002 * * * [progress]: adding candidates to table 9.123 * * [progress]: iteration 4 / 4 9.123 * * * [progress]: picking best candidate 9.138 * * * * [pick]: Picked # 9.138 * * * [progress]: localizing error 9.172 * * * [progress]: generating rewritten candidates 9.172 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 9.204 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 9.226 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 9.237 * * * [progress]: generating series expansions 9.237 * * * * [progress]: [ 1 / 3 ] generating series at (2) 9.238 * [backup-simplify]: Simplify (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) into (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) 9.238 * [approximate]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in (N) around 0 9.238 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 9.238 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 9.238 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 9.238 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.238 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.238 * [taylor]: Taking taylor expansion of N in N 9.238 * [backup-simplify]: Simplify 0 into 0 9.238 * [backup-simplify]: Simplify 1 into 1 9.239 * [backup-simplify]: Simplify (/ 1 1) into 1 9.239 * [backup-simplify]: Simplify (sqrt 0) into 0 9.241 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.241 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.241 * [taylor]: Taking taylor expansion of N in N 9.241 * [backup-simplify]: Simplify 0 into 0 9.241 * [backup-simplify]: Simplify 1 into 1 9.241 * [taylor]: Taking taylor expansion of 1.0 in N 9.241 * [backup-simplify]: Simplify 1.0 into 1.0 9.242 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.242 * [backup-simplify]: Simplify (* 0 1.0) into 0 9.243 * [backup-simplify]: Simplify (+ 1 0) into 1 9.244 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 9.245 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.245 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.245 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.245 * [taylor]: Taking taylor expansion of N in N 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify 1 into 1 9.246 * [backup-simplify]: Simplify (sqrt 0) into 0 9.247 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.247 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.247 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 9.247 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 9.248 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 9.248 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.248 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.248 * [taylor]: Taking taylor expansion of N in N 9.248 * [backup-simplify]: Simplify 0 into 0 9.248 * [backup-simplify]: Simplify 1 into 1 9.248 * [backup-simplify]: Simplify (/ 1 1) into 1 9.248 * [backup-simplify]: Simplify (sqrt 0) into 0 9.250 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.250 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.250 * [taylor]: Taking taylor expansion of N in N 9.250 * [backup-simplify]: Simplify 0 into 0 9.250 * [backup-simplify]: Simplify 1 into 1 9.250 * [taylor]: Taking taylor expansion of 1.0 in N 9.250 * [backup-simplify]: Simplify 1.0 into 1.0 9.250 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.251 * [backup-simplify]: Simplify (* 0 1.0) into 0 9.251 * [backup-simplify]: Simplify (+ 1 0) into 1 9.253 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 9.254 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.254 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.254 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.254 * [taylor]: Taking taylor expansion of N in N 9.254 * [backup-simplify]: Simplify 0 into 0 9.254 * [backup-simplify]: Simplify 1 into 1 9.254 * [backup-simplify]: Simplify (sqrt 0) into 0 9.256 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.256 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.257 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 9.257 * [backup-simplify]: Simplify (- (+ (log N) (log +nan.0))) into (- (+ (log N) (log +nan.0))) 9.259 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (- (+ (log N) (log +nan.0)))) into (- (log (- +nan.0)) (+ (log N) (log +nan.0))) 9.260 * [backup-simplify]: Simplify (- (log (- +nan.0)) (+ (log N) (log +nan.0))) into (- (log (- +nan.0)) (+ (log N) (log +nan.0))) 9.260 * [backup-simplify]: Simplify (+ 0 0) into 0 9.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.266 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.269 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1.0))) into (- +nan.0) 9.278 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 9.281 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.292 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.293 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.294 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.294 * [backup-simplify]: Simplify (+ 0 0) into 0 9.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.299 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.304 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1.0)))) into (- +nan.0) 9.320 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 9.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.331 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.331 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.332 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.332 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.334 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- (log (- +nan.0)) (+ (log N) (log +nan.0))))) into (- (log (- +nan.0)) (+ (* +nan.0 N) (- (+ (log N) (log +nan.0)) (* +nan.0 (pow N 2))))) 9.334 * [backup-simplify]: Simplify (+ (- (log (sqrt (/ 1 N)))) (log (/ (+ (/ 1 N) 1.0) (sqrt (/ 1 N))))) into (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) 9.334 * [approximate]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in (N) around 0 9.334 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 9.334 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 9.334 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 9.334 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.334 * [taylor]: Taking taylor expansion of N in N 9.334 * [backup-simplify]: Simplify 0 into 0 9.334 * [backup-simplify]: Simplify 1 into 1 9.334 * [backup-simplify]: Simplify (sqrt 0) into 0 9.335 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.335 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.335 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.335 * [taylor]: Taking taylor expansion of N in N 9.335 * [backup-simplify]: Simplify 0 into 0 9.335 * [backup-simplify]: Simplify 1 into 1 9.335 * [backup-simplify]: Simplify (/ 1 1) into 1 9.335 * [taylor]: Taking taylor expansion of 1.0 in N 9.335 * [backup-simplify]: Simplify 1.0 into 1.0 9.336 * [backup-simplify]: Simplify (+ 1 0) into 1 9.336 * [backup-simplify]: Simplify (* 0 1) into 0 9.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.337 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.338 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 9.339 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.339 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 9.339 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.339 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.339 * [taylor]: Taking taylor expansion of N in N 9.339 * [backup-simplify]: Simplify 0 into 0 9.339 * [backup-simplify]: Simplify 1 into 1 9.339 * [backup-simplify]: Simplify (/ 1 1) into 1 9.339 * [backup-simplify]: Simplify (sqrt 0) into 0 9.340 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.340 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.340 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 9.340 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 9.340 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 9.340 * [taylor]: Taking taylor expansion of (sqrt 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 9.341 * [backup-simplify]: Simplify (sqrt 0) into 0 9.341 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.341 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.341 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.342 * [taylor]: Taking taylor expansion of N in N 9.342 * [backup-simplify]: Simplify 0 into 0 9.342 * [backup-simplify]: Simplify 1 into 1 9.342 * [backup-simplify]: Simplify (/ 1 1) into 1 9.342 * [taylor]: Taking taylor expansion of 1.0 in N 9.342 * [backup-simplify]: Simplify 1.0 into 1.0 9.342 * [backup-simplify]: Simplify (+ 1 0) into 1 9.342 * [backup-simplify]: Simplify (* 0 1) into 0 9.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.343 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.344 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 9.345 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.345 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 9.345 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.345 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.345 * [taylor]: Taking taylor expansion of N in N 9.345 * [backup-simplify]: Simplify 0 into 0 9.345 * [backup-simplify]: Simplify 1 into 1 9.345 * [backup-simplify]: Simplify (/ 1 1) into 1 9.345 * [backup-simplify]: Simplify (sqrt 0) into 0 9.346 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.346 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.347 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 9.349 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (- (log +nan.0))) into (- (log (- +nan.0)) (log +nan.0)) 9.351 * [backup-simplify]: Simplify (- (log (- +nan.0)) (log +nan.0)) into (- (log (- +nan.0)) (log +nan.0)) 9.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.353 * [backup-simplify]: Simplify (+ 0 0) into 0 9.356 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.359 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1.0) (* +nan.0 1))) into (- +nan.0) 9.368 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 9.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.372 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.379 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.379 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.380 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.380 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.381 * [backup-simplify]: Simplify (+ 0 0) into 0 9.386 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.389 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1.0) (* +nan.0 1)))) into (- +nan.0) 9.399 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 9.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.404 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.412 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.412 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.413 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.413 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.415 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (- (log (- +nan.0)) (log +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log +nan.0) (* +nan.0 (/ 1 N))))) 9.416 * [backup-simplify]: Simplify (+ (- (log (sqrt (/ 1 (- N))))) (log (/ (+ (/ 1 (- N)) 1.0) (sqrt (/ 1 (- N)))))) into (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) 9.416 * [approximate]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in (N) around 0 9.416 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 9.416 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 9.416 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 9.416 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.416 * [taylor]: Taking taylor expansion of 1.0 in N 9.416 * [backup-simplify]: Simplify 1.0 into 1.0 9.416 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.416 * [taylor]: Taking taylor expansion of N in N 9.416 * [backup-simplify]: Simplify 0 into 0 9.416 * [backup-simplify]: Simplify 1 into 1 9.416 * [backup-simplify]: Simplify (/ 1 1) into 1 9.416 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.416 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.417 * [taylor]: Taking taylor expansion of -1 in N 9.417 * [backup-simplify]: Simplify -1 into -1 9.417 * [taylor]: Taking taylor expansion of N in N 9.417 * [backup-simplify]: Simplify 0 into 0 9.417 * [backup-simplify]: Simplify 1 into 1 9.417 * [backup-simplify]: Simplify (/ -1 1) into -1 9.417 * [backup-simplify]: Simplify (sqrt 0) into 0 9.419 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.419 * [backup-simplify]: Simplify (- 1) into -1 9.420 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.420 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 9.421 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.421 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 9.421 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.421 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.421 * [taylor]: Taking taylor expansion of -1 in N 9.421 * [backup-simplify]: Simplify -1 into -1 9.421 * [taylor]: Taking taylor expansion of N in N 9.421 * [backup-simplify]: Simplify 0 into 0 9.421 * [backup-simplify]: Simplify 1 into 1 9.421 * [backup-simplify]: Simplify (/ -1 1) into -1 9.422 * [backup-simplify]: Simplify (sqrt 0) into 0 9.423 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.424 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.424 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 9.424 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 9.424 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 9.424 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.424 * [taylor]: Taking taylor expansion of 1.0 in N 9.424 * [backup-simplify]: Simplify 1.0 into 1.0 9.424 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.424 * [taylor]: Taking taylor expansion of N in N 9.424 * [backup-simplify]: Simplify 0 into 0 9.424 * [backup-simplify]: Simplify 1 into 1 9.425 * [backup-simplify]: Simplify (/ 1 1) into 1 9.425 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.425 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.425 * [taylor]: Taking taylor expansion of -1 in N 9.425 * [backup-simplify]: Simplify -1 into -1 9.425 * [taylor]: Taking taylor expansion of N in N 9.425 * [backup-simplify]: Simplify 0 into 0 9.425 * [backup-simplify]: Simplify 1 into 1 9.425 * [backup-simplify]: Simplify (/ -1 1) into -1 9.426 * [backup-simplify]: Simplify (sqrt 0) into 0 9.427 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.427 * [backup-simplify]: Simplify (- 1) into -1 9.428 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.428 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 9.429 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.429 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 9.429 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.429 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.429 * [taylor]: Taking taylor expansion of -1 in N 9.429 * [backup-simplify]: Simplify -1 into -1 9.429 * [taylor]: Taking taylor expansion of N in N 9.429 * [backup-simplify]: Simplify 0 into 0 9.429 * [backup-simplify]: Simplify 1 into 1 9.429 * [backup-simplify]: Simplify (/ -1 1) into -1 9.430 * [backup-simplify]: Simplify (sqrt 0) into 0 9.431 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.431 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.432 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 9.432 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 9.433 * [backup-simplify]: Simplify (+ (- (log +nan.0) (log N)) (- (log +nan.0))) into (- (log N)) 9.433 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 9.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.434 * [backup-simplify]: Simplify (- 0) into 0 9.434 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.436 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.438 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.442 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.445 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.448 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.449 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.449 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.449 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.450 * [backup-simplify]: Simplify (- 0) into 0 9.450 * [backup-simplify]: Simplify (+ 0 0) into 0 9.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.456 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.466 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.481 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.482 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.482 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.483 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.483 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- (log (/ 1 (- N)))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (log (/ -1 N)) (* +nan.0 (/ 1 N))))) 9.484 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 9.484 * [backup-simplify]: Simplify (/ (+ N 1.0) (sqrt N)) into (* (sqrt (/ 1 N)) (+ N 1.0)) 9.484 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in (N) around 0 9.484 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 9.484 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.484 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.484 * [taylor]: Taking taylor expansion of N in N 9.484 * [backup-simplify]: Simplify 0 into 0 9.484 * [backup-simplify]: Simplify 1 into 1 9.484 * [backup-simplify]: Simplify (/ 1 1) into 1 9.484 * [backup-simplify]: Simplify (sqrt 0) into 0 9.485 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.485 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.486 * [taylor]: Taking taylor expansion of N in N 9.486 * [backup-simplify]: Simplify 0 into 0 9.486 * [backup-simplify]: Simplify 1 into 1 9.486 * [taylor]: Taking taylor expansion of 1.0 in N 9.486 * [backup-simplify]: Simplify 1.0 into 1.0 9.486 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 9.486 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.486 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.486 * [taylor]: Taking taylor expansion of N in N 9.486 * [backup-simplify]: Simplify 0 into 0 9.486 * [backup-simplify]: Simplify 1 into 1 9.486 * [backup-simplify]: Simplify (/ 1 1) into 1 9.486 * [backup-simplify]: Simplify (sqrt 0) into 0 9.487 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.487 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.487 * [taylor]: Taking taylor expansion of N in N 9.487 * [backup-simplify]: Simplify 0 into 0 9.487 * [backup-simplify]: Simplify 1 into 1 9.487 * [taylor]: Taking taylor expansion of 1.0 in N 9.487 * [backup-simplify]: Simplify 1.0 into 1.0 9.487 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.488 * [backup-simplify]: Simplify (* 0 1.0) into 0 9.488 * [backup-simplify]: Simplify 0 into 0 9.488 * [backup-simplify]: Simplify (+ 1 0) into 1 9.489 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 9.489 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.489 * [backup-simplify]: Simplify (+ 0 0) into 0 9.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.492 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1.0))) into (- +nan.0) 9.494 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.494 * [backup-simplify]: Simplify (+ 0 0) into 0 9.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.498 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.503 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1.0)))) into (- +nan.0) 9.503 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.505 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- +nan.0))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 9.505 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (sqrt (/ 1 N))) into (* (sqrt N) (+ (/ 1 N) 1.0)) 9.505 * [approximate]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in (N) around 0 9.505 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 9.505 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.505 * [taylor]: Taking taylor expansion of N in N 9.505 * [backup-simplify]: Simplify 0 into 0 9.505 * [backup-simplify]: Simplify 1 into 1 9.506 * [backup-simplify]: Simplify (sqrt 0) into 0 9.507 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.507 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.507 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.507 * [taylor]: Taking taylor expansion of N in N 9.507 * [backup-simplify]: Simplify 0 into 0 9.507 * [backup-simplify]: Simplify 1 into 1 9.507 * [backup-simplify]: Simplify (/ 1 1) into 1 9.507 * [taylor]: Taking taylor expansion of 1.0 in N 9.508 * [backup-simplify]: Simplify 1.0 into 1.0 9.508 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 9.508 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.508 * [taylor]: Taking taylor expansion of N in N 9.508 * [backup-simplify]: Simplify 0 into 0 9.508 * [backup-simplify]: Simplify 1 into 1 9.508 * [backup-simplify]: Simplify (sqrt 0) into 0 9.509 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.509 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.509 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.509 * [taylor]: Taking taylor expansion of N in N 9.509 * [backup-simplify]: Simplify 0 into 0 9.509 * [backup-simplify]: Simplify 1 into 1 9.510 * [backup-simplify]: Simplify (/ 1 1) into 1 9.510 * [taylor]: Taking taylor expansion of 1.0 in N 9.510 * [backup-simplify]: Simplify 1.0 into 1.0 9.510 * [backup-simplify]: Simplify (+ 1 0) into 1 9.511 * [backup-simplify]: Simplify (* 0 1) into 0 9.511 * [backup-simplify]: Simplify 0 into 0 9.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.512 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.513 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 9.514 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.515 * [backup-simplify]: Simplify (+ 0 0) into 0 9.518 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1.0) (* +nan.0 1))) into (- +nan.0) 9.521 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.523 * [backup-simplify]: Simplify (+ 0 0) into 0 9.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1.0) (* +nan.0 1)))) into (- +nan.0) 9.532 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.533 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 9.533 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (sqrt (/ 1 (- N)))) into (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 9.534 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in (N) around 0 9.534 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 9.534 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.534 * [taylor]: Taking taylor expansion of 1.0 in N 9.534 * [backup-simplify]: Simplify 1.0 into 1.0 9.534 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.534 * [taylor]: Taking taylor expansion of N in N 9.534 * [backup-simplify]: Simplify 0 into 0 9.534 * [backup-simplify]: Simplify 1 into 1 9.534 * [backup-simplify]: Simplify (/ 1 1) into 1 9.534 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.534 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.534 * [taylor]: Taking taylor expansion of -1 in N 9.534 * [backup-simplify]: Simplify -1 into -1 9.534 * [taylor]: Taking taylor expansion of N in N 9.534 * [backup-simplify]: Simplify 0 into 0 9.534 * [backup-simplify]: Simplify 1 into 1 9.535 * [backup-simplify]: Simplify (/ -1 1) into -1 9.535 * [backup-simplify]: Simplify (sqrt 0) into 0 9.536 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.537 * [backup-simplify]: Simplify (- 1) into -1 9.537 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.538 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 9.538 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 9.538 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.538 * [taylor]: Taking taylor expansion of 1.0 in N 9.538 * [backup-simplify]: Simplify 1.0 into 1.0 9.538 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.538 * [taylor]: Taking taylor expansion of N in N 9.538 * [backup-simplify]: Simplify 0 into 0 9.538 * [backup-simplify]: Simplify 1 into 1 9.538 * [backup-simplify]: Simplify (/ 1 1) into 1 9.538 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.538 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.538 * [taylor]: Taking taylor expansion of -1 in N 9.538 * [backup-simplify]: Simplify -1 into -1 9.538 * [taylor]: Taking taylor expansion of N in N 9.538 * [backup-simplify]: Simplify 0 into 0 9.538 * [backup-simplify]: Simplify 1 into 1 9.539 * [backup-simplify]: Simplify (/ -1 1) into -1 9.539 * [backup-simplify]: Simplify (sqrt 0) into 0 9.540 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.541 * [backup-simplify]: Simplify (- 1) into -1 9.541 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.542 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 9.542 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.543 * [backup-simplify]: Simplify (- 0) into 0 9.543 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.547 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.549 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.550 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.551 * [backup-simplify]: Simplify (- 0) into 0 9.551 * [backup-simplify]: Simplify (+ 0 0) into 0 9.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.560 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.561 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.562 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- N))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- N)))))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) 9.562 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 9.562 * [backup-simplify]: Simplify (log (sqrt N)) into (log (sqrt N)) 9.562 * [approximate]: Taking taylor expansion of (log (sqrt N)) in (N) around 0 9.562 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.562 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.562 * [taylor]: Taking taylor expansion of N in N 9.562 * [backup-simplify]: Simplify 0 into 0 9.562 * [backup-simplify]: Simplify 1 into 1 9.562 * [backup-simplify]: Simplify (sqrt 0) into 0 9.564 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.564 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.564 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.564 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.564 * [taylor]: Taking taylor expansion of N in N 9.564 * [backup-simplify]: Simplify 0 into 0 9.564 * [backup-simplify]: Simplify 1 into 1 9.565 * [backup-simplify]: Simplify (sqrt 0) into 0 9.566 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.567 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.568 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 9.568 * [backup-simplify]: Simplify (+ (log N) (log +nan.0)) into (+ (log N) (log +nan.0)) 9.571 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.578 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.578 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.596 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.596 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.597 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (+ (log N) (log +nan.0)))) into (- (+ (log N) (log +nan.0)) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 9.597 * [backup-simplify]: Simplify (log (sqrt (/ 1 N))) into (log (sqrt (/ 1 N))) 9.597 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 N))) in (N) around 0 9.597 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 9.597 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.597 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.597 * [taylor]: Taking taylor expansion of N in N 9.597 * [backup-simplify]: Simplify 0 into 0 9.597 * [backup-simplify]: Simplify 1 into 1 9.598 * [backup-simplify]: Simplify (/ 1 1) into 1 9.598 * [backup-simplify]: Simplify (sqrt 0) into 0 9.599 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.600 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.600 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 9.600 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.600 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.600 * [taylor]: Taking taylor expansion of N in N 9.600 * [backup-simplify]: Simplify 0 into 0 9.600 * [backup-simplify]: Simplify 1 into 1 9.600 * [backup-simplify]: Simplify (/ 1 1) into 1 9.601 * [backup-simplify]: Simplify (sqrt 0) into 0 9.602 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.602 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.603 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.606 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.613 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.613 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.617 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.632 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.632 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.633 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.633 * [backup-simplify]: Simplify (log (sqrt (/ 1 (- N)))) into (log (sqrt (/ -1 N))) 9.633 * [approximate]: Taking taylor expansion of (log (sqrt (/ -1 N))) in (N) around 0 9.633 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 9.633 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.633 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.633 * [taylor]: Taking taylor expansion of -1 in N 9.633 * [backup-simplify]: Simplify -1 into -1 9.633 * [taylor]: Taking taylor expansion of N in N 9.633 * [backup-simplify]: Simplify 0 into 0 9.633 * [backup-simplify]: Simplify 1 into 1 9.634 * [backup-simplify]: Simplify (/ -1 1) into -1 9.634 * [backup-simplify]: Simplify (sqrt 0) into 0 9.638 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.638 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.638 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 9.638 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.638 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.638 * [taylor]: Taking taylor expansion of -1 in N 9.638 * [backup-simplify]: Simplify -1 into -1 9.638 * [taylor]: Taking taylor expansion of N in N 9.638 * [backup-simplify]: Simplify 0 into 0 9.638 * [backup-simplify]: Simplify 1 into 1 9.639 * [backup-simplify]: Simplify (/ -1 1) into -1 9.639 * [backup-simplify]: Simplify (sqrt 0) into 0 9.640 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.641 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.641 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.645 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.652 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.652 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.672 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.672 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.673 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.673 * * * [progress]: simplifying candidates 9.676 * [simplify]: Simplifying: (* (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N))) (* (exp (- (log (sqrt N)))) (/ (+ N 1.0) (sqrt N))) (log (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (exp (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (* (cbrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (cbrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))) (cbrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (* (* (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (sqrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (sqrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (+ (pow (- (log (sqrt N))) 3) (pow (log (/ (+ N 1.0) (sqrt N))) 3)) (+ (* (- (log (sqrt N))) (- (log (sqrt N)))) (- (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (* (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))) (- (* (- (log (sqrt N))) (- (log (sqrt N)))) (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (- (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (sqrt (/ (+ N 1.0) (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1))) (+ (- (log (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 1))) (+ (- (log (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 1))) (+ (- (log (sqrt N))) (log 1)) (+ (- (log (sqrt N))) (log (+ N 1.0))) (+ (- (log (cbrt (sqrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt (cbrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt (sqrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt (sqrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (+ N 1.0))) (- (log (sqrt N)) (log (/ (+ N 1.0) (sqrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (exp (/ (+ N 1.0) (sqrt N))) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* (sqrt N) (sqrt N)) (sqrt N))) (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))) (* (* (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) (sqrt N))) (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (- (+ N 1.0)) (- (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (* (cbrt N) (cbrt N)))) (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt 1)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (* (cbrt N) (cbrt N)))) (/ (sqrt (+ N 1.0)) (sqrt (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt 1)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (sqrt (* (cbrt N) (cbrt N)))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ 1 (sqrt 1)) (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ 1 1) (/ (+ N 1.0) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (sqrt (* (cbrt N) (cbrt N)))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ 1 (sqrt 1)) (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ 1 1) (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt N)) (/ (sqrt N) (+ N 1.0)) (/ (+ N 1.0) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ N 1.0) (sqrt (* (cbrt N) (cbrt N)))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt 1)) (/ (+ N 1.0) (sqrt (sqrt N))) (/ (+ N 1.0) 1) (/ (sqrt N) (cbrt (+ N 1.0))) (/ (sqrt N) (sqrt (+ N 1.0))) (/ (sqrt N) (+ N 1.0)) (/ (sqrt N) (+ N 1.0)) (* (sqrt N) (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* (sqrt N) (- N 1.0)) (log (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (log (cbrt (sqrt N))) (log (sqrt (* (cbrt N) (cbrt N)))) (log (sqrt (cbrt N))) (log (sqrt (sqrt N))) (log (sqrt (sqrt N))) (log (sqrt 1)) (log (sqrt N)) (log (sqrt (sqrt N))) (log (sqrt (sqrt N))) (log 1) (log (sqrt N)) (log N) (log (sqrt N)) (log N) (log (log (sqrt N))) (exp (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))) (cbrt (log (sqrt N))) (* (* (log (sqrt N)) (log (sqrt N))) (log (sqrt N))) (sqrt (log (sqrt N))) (sqrt (log (sqrt N))) (- (log (- +nan.0)) (+ (* +nan.0 N) (- (+ (log N) (log +nan.0)) (* +nan.0 (pow N 2))))) (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log +nan.0) (* +nan.0 (/ 1 N))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (log (/ -1 N)) (* +nan.0 (/ 1 N))))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (log N) (log +nan.0)) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.680 * * [simplify]: iteration 0: 199 enodes 9.736 * * [simplify]: iteration 1: 463 enodes 9.879 * * [simplify]: iteration 2: 1294 enodes 10.340 * * [simplify]: iteration complete: 5000 enodes 10.340 * * [simplify]: Extracting #0: cost 91 inf + 0 10.351 * * [simplify]: Extracting #1: cost 790 inf + 2 10.360 * * [simplify]: Extracting #2: cost 1764 inf + 1812 10.380 * * [simplify]: Extracting #3: cost 1904 inf + 37003 10.460 * * [simplify]: Extracting #4: cost 834 inf + 337691 10.632 * * [simplify]: Extracting #5: cost 91 inf + 624605 10.807 * * [simplify]: Extracting #6: cost 5 inf + 656274 10.961 * * [simplify]: Extracting #7: cost 0 inf + 656871 11.086 * [simplify]: Simplified to: (/ (/ (+ N 1.0) (sqrt N)) (sqrt N)) (/ (/ (+ N 1.0) (sqrt N)) (sqrt N)) (log (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (/ (/ (+ N 1.0) (sqrt N)) (sqrt N)) (* (cbrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (cbrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))))) (cbrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (* (* (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (sqrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (sqrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (+ (* (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (* (* (log (sqrt N)) (log (sqrt N))) (- (log (sqrt N))))) (+ (+ (* (log (sqrt N)) (log (sqrt N))) (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (* (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (- (* (log (sqrt N)) (log (sqrt N))) (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (- 0 (log (+ N 1.0))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt N))) (- (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt N))) (- (+ (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))))) (log (sqrt N))) (- (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (fabs (cbrt N)))) (log (sqrt N))) (- (log (/ (cbrt (+ N 1.0)) (/ (sqrt (sqrt N)) (cbrt (+ N 1.0))))) (log (sqrt N))) (- (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (sqrt N))) (- (log (/ (cbrt (+ N 1.0)) (/ (sqrt (sqrt N)) (cbrt (+ N 1.0))))) (log (sqrt N))) (- (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (sqrt N))) (- (log (/ (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (cbrt (sqrt N)))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1.0)) (fabs (cbrt N)))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (sqrt N))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (sqrt N))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (- (- (log (sqrt N))) (+ (log (cbrt (sqrt N))) (log (cbrt (sqrt N))))) (- (- (log (sqrt N))) (log (fabs (cbrt N)))) (- (+ (log (sqrt (sqrt N))) (log (sqrt N)))) (- (log (sqrt N))) (- (+ (log (sqrt (sqrt N))) (log (sqrt N)))) (- (log (sqrt N))) (- (- (log (sqrt N))) (+ (log (cbrt (sqrt N))) (log (cbrt (sqrt N))))) (- (- (log (sqrt N))) (log (fabs (cbrt N)))) (- (+ (log (sqrt (sqrt N))) (log (sqrt N)))) (- (log (sqrt N))) (- (+ (log (sqrt (sqrt N))) (log (sqrt N)))) (- (log (sqrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (cbrt (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (cbrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (- (log (sqrt N)) (log (/ (+ N 1.0) (sqrt N)))) (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (exp (/ (+ N 1.0) (sqrt N))) (* (* (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) (sqrt N))) (/ (+ N 1.0) (sqrt N))) (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))) (* (* (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) (sqrt N))) (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (- (+ 1.0 N)) (- (sqrt N)) (* (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (fabs (cbrt N))) (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))) (/ (cbrt (+ N 1.0)) (/ (sqrt (sqrt N)) (cbrt (+ N 1.0)))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (cbrt (+ N 1.0)) (/ (sqrt (sqrt N)) (cbrt (+ N 1.0)))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (/ (sqrt (+ N 1.0)) (fabs (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (/ 1 (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ (/ 1 (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt N)) (/ (sqrt N) (+ N 1.0)) (/ (/ (+ N 1.0) (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (+ N 1.0) (fabs (cbrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (+ N 1.0) (/ (+ N 1.0) (sqrt (sqrt N))) (+ N 1.0) (/ (sqrt N) (cbrt (+ N 1.0))) (/ (sqrt N) (sqrt (+ N 1.0))) (/ (sqrt N) (+ N 1.0)) (/ (sqrt N) (+ N 1.0)) (* (sqrt N) (+ (* 1.0 (- 1.0 N)) (* N N))) (* (- N 1.0) (sqrt N)) (+ (log (cbrt (sqrt N))) (log (cbrt (sqrt N)))) (log (cbrt (sqrt N))) (log (fabs (cbrt N))) (log (sqrt (cbrt N))) (log (sqrt (sqrt N))) (log (sqrt (sqrt N))) 0 (log (sqrt N)) (log (sqrt (sqrt N))) (log (sqrt (sqrt N))) 0 (log (sqrt N)) (log N) (log (sqrt N)) (log N) (log (log (sqrt N))) (sqrt N) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))) (cbrt (log (sqrt N))) (* (* (log (sqrt N)) (log (sqrt N))) (log (sqrt N))) (sqrt (log (sqrt N))) (sqrt (log (sqrt N))) (- (log (- +nan.0)) (+ (+ (log +nan.0) (log N)) (* +nan.0 (- N (* N N))))) (- (log (- +nan.0)) (+ (- (log +nan.0) (/ +nan.0 N)) (/ +nan.0 (* N N)))) (- (/ (- +nan.0) (* N N)) (- (log (/ -1 N)) (/ +nan.0 N))) (- (+ +nan.0 (* +nan.0 (- N (* N N))))) (+ (+ (/ +nan.0 N) (/ (- +nan.0) (* N N))) (- +nan.0)) (- (+ (- (/ +nan.0 N) (* +nan.0 N)) +nan.0)) (+ (log N) (- (log +nan.0) (* +nan.0 (- N (* N N))))) (+ (- (log +nan.0) (/ +nan.0 (* N N))) (/ +nan.0 N)) (+ (- (log +nan.0) (/ +nan.0 (* N N))) (/ +nan.0 N)) 11.094 * * * [progress]: adding candidates to table 11.587 * [progress]: [Phase 3 of 3] Extracting. 11.587 * * [regime]: Finding splitpoints for: (# # # #) 11.589 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.589 * * * * [regimes]: Trying to branch on N from (# # # #) 11.642 * * * [regime]: Found split indices: #