16.656 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.076 * * * [progress]: [2/2] Setting up program. 0.079 * [progress]: [Phase 2 of 3] Improving. 0.079 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.079 * * [simplify]: Extracting # 0 : cost 0 0.079 * * [simplify]: Extracting # 1 : cost 0 0.079 * * [simplify]: Extracting # 2 : cost 0 0.079 * * [simplify]: Extracting # 3 : cost 0 0.080 * * [simplify]: Extracting # 4 : cost 0 0.080 * * [simplify]: Extracting # 5 : cost 0 0.080 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.081 * * [simplify]: Extracting # 0 : cost 0 0.081 * * [simplify]: Extracting # 1 : cost 0 0.081 * * [simplify]: Extracting # 2 : cost 0 0.081 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.082 * * [simplify]: Extracting # 0 : cost 0 0.082 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.083 * * [simplify]: Extracting # 0 : cost 0 0.083 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.083 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.084 * * [progress]: iteration 1 / 4 0.084 * * * [progress]: picking best candidate 0.086 * * * * [pick]: Picked # 0.086 * * * [progress]: localizing error 0.102 * * * [progress]: generating rewritten candidates 0.102 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.131 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.146 * * * [progress]: generating series expansions 0.146 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.153 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.153 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.155 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.155 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.155 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.155 * [taylor]: Taking taylor expansion of N in N 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [taylor]: Taking taylor expansion of 1.0 in N 0.155 * [backup-simplify]: Simplify 1.0 into 1.0 0.157 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.157 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.157 * [taylor]: Taking taylor expansion of (log N) in N 0.157 * [taylor]: Taking taylor expansion of N in N 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (log 1) into 0 0.181 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.181 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.181 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.181 * [taylor]: Taking taylor expansion of N in N 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [taylor]: Taking taylor expansion of 1.0 in N 0.181 * [backup-simplify]: Simplify 1.0 into 1.0 0.182 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.182 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.182 * [taylor]: Taking taylor expansion of (log N) in N 0.182 * [taylor]: Taking taylor expansion of N in N 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (log 1) into 0 0.186 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.186 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.187 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.187 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.189 * [backup-simplify]: Simplify (+ 1 0) into 1 0.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.198 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.198 * [backup-simplify]: Simplify 1.0 into 1.0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [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)) 0.213 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.214 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.219 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.223 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.224 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.224 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.224 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.224 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.224 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.224 * [taylor]: Taking taylor expansion of N in N 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [taylor]: Taking taylor expansion of 1.0 in N 0.225 * [backup-simplify]: Simplify 1.0 into 1.0 0.225 * [backup-simplify]: Simplify (+ 1 0) into 1 0.226 * [backup-simplify]: Simplify (log 1) into 0 0.226 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.226 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.226 * [taylor]: Taking taylor expansion of N in N 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (/ 1 1) into 1 0.226 * [backup-simplify]: Simplify (log 1) into 0 0.227 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.227 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.227 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.227 * [taylor]: Taking taylor expansion of N in N 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [taylor]: Taking taylor expansion of 1.0 in N 0.227 * [backup-simplify]: Simplify 1.0 into 1.0 0.228 * [backup-simplify]: Simplify (+ 1 0) into 1 0.228 * [backup-simplify]: Simplify (log 1) into 0 0.228 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.228 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.228 * [taylor]: Taking taylor expansion of N in N 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [backup-simplify]: Simplify (log 1) into 0 0.229 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.230 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.230 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.230 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.238 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.241 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.241 * [backup-simplify]: Simplify 1.0 into 1.0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [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 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.259 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [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 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [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 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.286 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.286 * [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)))) 0.287 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.287 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.287 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.287 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.287 * [taylor]: Taking taylor expansion of 1.0 in N 0.287 * [backup-simplify]: Simplify 1.0 into 1.0 0.287 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.287 * [taylor]: Taking taylor expansion of N in N 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [backup-simplify]: Simplify (- 1) into -1 0.288 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.288 * [backup-simplify]: Simplify (log -1) into (log -1) 0.288 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.288 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.288 * [taylor]: Taking taylor expansion of -1 in N 0.288 * [backup-simplify]: Simplify -1 into -1 0.288 * [taylor]: Taking taylor expansion of N in N 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ -1 1) into -1 0.289 * [backup-simplify]: Simplify (log -1) into (log -1) 0.289 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.289 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.289 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.289 * [taylor]: Taking taylor expansion of 1.0 in N 0.289 * [backup-simplify]: Simplify 1.0 into 1.0 0.289 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.289 * [taylor]: Taking taylor expansion of N in N 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (/ 1 1) into 1 0.289 * [backup-simplify]: Simplify (- 1) into -1 0.290 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.290 * [backup-simplify]: Simplify (log -1) into (log -1) 0.290 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.290 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.290 * [taylor]: Taking taylor expansion of -1 in N 0.290 * [backup-simplify]: Simplify -1 into -1 0.290 * [taylor]: Taking taylor expansion of N in N 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (/ -1 1) into -1 0.291 * [backup-simplify]: Simplify (log -1) into (log -1) 0.291 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.292 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.292 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.293 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.299 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.301 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (- 0) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [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 0.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.311 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.312 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 0.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.348 * [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 0.348 * [backup-simplify]: Simplify (- 0) into 0 0.349 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.349 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.351 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.351 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.351 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.351 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.351 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.351 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.351 * [taylor]: Taking taylor expansion of N in N 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [taylor]: Taking taylor expansion of 1.0 in N 0.351 * [backup-simplify]: Simplify 1.0 into 1.0 0.352 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.352 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.352 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.352 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.352 * [taylor]: Taking taylor expansion of N in N 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [taylor]: Taking taylor expansion of 1.0 in N 0.353 * [backup-simplify]: Simplify 1.0 into 1.0 0.353 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.353 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.354 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.354 * [backup-simplify]: Simplify (+ 1 0) into 1 0.360 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.360 * [backup-simplify]: Simplify 1.0 into 1.0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [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)) 0.378 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.380 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.380 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.380 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.380 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.380 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.380 * [taylor]: Taking taylor expansion of N in N 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (/ 1 1) into 1 0.381 * [taylor]: Taking taylor expansion of 1.0 in N 0.381 * [backup-simplify]: Simplify 1.0 into 1.0 0.381 * [backup-simplify]: Simplify (+ 1 0) into 1 0.382 * [backup-simplify]: Simplify (log 1) into 0 0.382 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.382 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.382 * [taylor]: Taking taylor expansion of N in N 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (/ 1 1) into 1 0.383 * [taylor]: Taking taylor expansion of 1.0 in N 0.383 * [backup-simplify]: Simplify 1.0 into 1.0 0.383 * [backup-simplify]: Simplify (+ 1 0) into 1 0.383 * [backup-simplify]: Simplify (log 1) into 0 0.384 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.384 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.392 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.393 * [backup-simplify]: Simplify 1.0 into 1.0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [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 0.405 * [backup-simplify]: Simplify -0.5 into -0.5 0.406 * [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)))) 0.406 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.406 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.406 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.406 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.406 * [taylor]: Taking taylor expansion of 1.0 in N 0.406 * [backup-simplify]: Simplify 1.0 into 1.0 0.406 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.406 * [taylor]: Taking taylor expansion of N in N 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (/ 1 1) into 1 0.407 * [backup-simplify]: Simplify (- 1) into -1 0.408 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.408 * [backup-simplify]: Simplify (log -1) into (log -1) 0.408 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.408 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.408 * [taylor]: Taking taylor expansion of 1.0 in N 0.408 * [backup-simplify]: Simplify 1.0 into 1.0 0.408 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.408 * [taylor]: Taking taylor expansion of N in N 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (/ 1 1) into 1 0.409 * [backup-simplify]: Simplify (- 1) into -1 0.409 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.410 * [backup-simplify]: Simplify (log -1) into (log -1) 0.411 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.411 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (- 0) into 0 0.413 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.420 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.420 * [backup-simplify]: Simplify -1.0 into -1.0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (- 0) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [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 0.433 * [backup-simplify]: Simplify -0.5 into -0.5 0.434 * [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)))) 0.434 * * * [progress]: simplifying candidates 0.436 * [simplify]: Simplifying: (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.440 * * [simplify]: Extracting # 0 : cost 0 0.440 * * [simplify]: Extracting # 1 : cost 0 0.440 * * [simplify]: Extracting # 2 : cost 0 0.440 * * [simplify]: Extracting # 3 : cost 0 0.441 * * [simplify]: Extracting # 4 : cost 0 0.441 * * [simplify]: Extracting # 5 : cost 0 0.441 * * [simplify]: Extracting # 6 : cost 0 0.441 * * [simplify]: Extracting # 7 : cost 0 0.442 * * [simplify]: Extracting # 8 : cost 0 0.442 * * [simplify]: Extracting # 9 : cost 0 0.443 * * [simplify]: iteration 0 : 127 enodes (cost 1052 ) 0.502 * * [simplify]: Extracting # 0 : cost 0 0.503 * * [simplify]: Extracting # 1 : cost 0 0.504 * * [simplify]: Extracting # 2 : cost 0 0.504 * * [simplify]: Extracting # 3 : cost 0 0.505 * * [simplify]: Extracting # 4 : cost 0 0.505 * * [simplify]: iteration 1 : 288 enodes (cost 863 ) 0.661 * * [simplify]: Extracting # 0 : cost 0 0.662 * * [simplify]: Extracting # 1 : cost 0 0.664 * * [simplify]: Extracting # 2 : cost 0 0.670 * * [simplify]: Extracting # 3 : cost 0 0.672 * * [simplify]: Extracting # 4 : cost 0 0.673 * * [simplify]: iteration 2 : 1098 enodes (cost 705 ) 1.645 * * [simplify]: Extracting # 0 : cost 0 1.671 * * [simplify]: Extracting # 1 : cost 0 1.681 * * [simplify]: Extracting # 2 : cost 0 1.686 * * [simplify]: Extracting # 3 : cost 0 1.696 * * [simplify]: Extracting # 4 : cost 0 1.701 * * [simplify]: iteration done: 5001 enodes (cost 614 ) 1.702 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (fma (log N) (log N) (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0))))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log N) (log (fma N N (* 1.0 (- 1.0 N))))) (+ (log (- N 1.0)) (log N)) (- (log N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (fma N N (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (fma -1/2 (/ (pow N 2) (pow 1.0 2)) (fma 1.0 N (log 1.0))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (- (+ (/ 1.0 N) (log -1)) (/ 0.5 (* N N))) (log (/ -1 N))) 1.702 * * * [progress]: adding candidates to table 1.964 * * [progress]: iteration 2 / 4 1.964 * * * [progress]: picking best candidate 1.973 * * * * [pick]: Picked # 1.973 * * * [progress]: localizing error 1.988 * * * [progress]: generating rewritten candidates 1.989 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.997 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.021 * * * [progress]: generating series expansions 2.021 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.021 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 2.022 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 2.022 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.022 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.022 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.022 * [taylor]: Taking taylor expansion of N in N 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 1 into 1 2.022 * [taylor]: Taking taylor expansion of 1.0 in N 2.022 * [backup-simplify]: Simplify 1.0 into 1.0 2.022 * [taylor]: Taking taylor expansion of N in N 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 1 into 1 2.022 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.023 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.023 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.023 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.023 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.023 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.023 * [taylor]: Taking taylor expansion of N in N 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [taylor]: Taking taylor expansion of 1.0 in N 2.023 * [backup-simplify]: Simplify 1.0 into 1.0 2.023 * [taylor]: Taking taylor expansion of N in N 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.024 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.024 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.025 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.025 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 2.025 * [backup-simplify]: Simplify (+ 1 0) into 1 2.026 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.029 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.029 * [backup-simplify]: Simplify 1.0 into 1.0 2.029 * [backup-simplify]: Simplify (+ 0 0) into 0 2.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.035 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 2.036 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 2.037 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 2.037 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 2.037 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 2.037 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.037 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.037 * [taylor]: Taking taylor expansion of N in N 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.037 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.037 * [taylor]: Taking taylor expansion of N in N 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (/ 1 1) into 1 2.037 * [taylor]: Taking taylor expansion of 1.0 in N 2.037 * [backup-simplify]: Simplify 1.0 into 1.0 2.038 * [backup-simplify]: Simplify (+ 1 0) into 1 2.038 * [backup-simplify]: Simplify (* 0 1) into 0 2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.040 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.040 * [backup-simplify]: Simplify (log 1) into 0 2.040 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.040 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.040 * [taylor]: Taking taylor expansion of N in N 2.040 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 1 into 1 2.041 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.041 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.041 * [taylor]: Taking taylor expansion of N in N 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 1 into 1 2.041 * [backup-simplify]: Simplify (/ 1 1) into 1 2.041 * [taylor]: Taking taylor expansion of 1.0 in N 2.041 * [backup-simplify]: Simplify 1.0 into 1.0 2.041 * [backup-simplify]: Simplify (+ 1 0) into 1 2.042 * [backup-simplify]: Simplify (* 0 1) into 0 2.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.044 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.044 * [backup-simplify]: Simplify (log 1) into 0 2.044 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.046 * [backup-simplify]: Simplify (+ 0 0) into 0 2.047 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.051 * [backup-simplify]: Simplify 1.0 into 1.0 2.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.052 * [backup-simplify]: Simplify (+ 0 0) into 0 2.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.059 * [backup-simplify]: Simplify -0.5 into -0.5 2.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (+ 0 0) into 0 2.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.079 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 2.079 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.080 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.080 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 2.080 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 2.080 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.080 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.080 * [taylor]: Taking taylor expansion of -1 in N 2.080 * [backup-simplify]: Simplify -1 into -1 2.080 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.080 * [taylor]: Taking taylor expansion of N in N 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.081 * [taylor]: Taking taylor expansion of 1.0 in N 2.081 * [backup-simplify]: Simplify 1.0 into 1.0 2.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.081 * [taylor]: Taking taylor expansion of N in N 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 1 into 1 2.081 * [backup-simplify]: Simplify (/ 1 1) into 1 2.081 * [backup-simplify]: Simplify (- 1) into -1 2.082 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.082 * [backup-simplify]: Simplify (* 0 -1) into 0 2.083 * [backup-simplify]: Simplify (* -1 0) into 0 2.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.084 * [backup-simplify]: Simplify (- 0) into 0 2.084 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.085 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.086 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.086 * [backup-simplify]: Simplify (log 1) into 0 2.086 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.086 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.086 * [taylor]: Taking taylor expansion of -1 in N 2.086 * [backup-simplify]: Simplify -1 into -1 2.086 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.086 * [taylor]: Taking taylor expansion of N in N 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.086 * [taylor]: Taking taylor expansion of 1.0 in N 2.086 * [backup-simplify]: Simplify 1.0 into 1.0 2.086 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.086 * [taylor]: Taking taylor expansion of N in N 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 1 into 1 2.087 * [backup-simplify]: Simplify (/ 1 1) into 1 2.087 * [backup-simplify]: Simplify (- 1) into -1 2.088 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.088 * [backup-simplify]: Simplify (* 0 -1) into 0 2.089 * [backup-simplify]: Simplify (* -1 0) into 0 2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.090 * [backup-simplify]: Simplify (- 0) into 0 2.090 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.090 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.091 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.091 * [backup-simplify]: Simplify (log 1) into 0 2.091 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.092 * [backup-simplify]: Simplify (- 0) into 0 2.092 * [backup-simplify]: Simplify (+ 0 0) into 0 2.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.095 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.099 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 2.099 * [backup-simplify]: Simplify -1.0 into -1.0 2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.100 * [backup-simplify]: Simplify (- 0) into 0 2.100 * [backup-simplify]: Simplify (+ 0 0) into 0 2.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.102 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.109 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.109 * [backup-simplify]: Simplify -0.5 into -0.5 2.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.110 * [backup-simplify]: Simplify (- 0) into 0 2.110 * [backup-simplify]: Simplify (+ 0 0) into 0 2.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.112 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.122 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 2.122 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.123 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.123 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.123 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 2.123 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 2.123 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.123 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.123 * [taylor]: Taking taylor expansion of N in N 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 1 into 1 2.123 * [taylor]: Taking taylor expansion of 1.0 in N 2.123 * [backup-simplify]: Simplify 1.0 into 1.0 2.123 * [taylor]: Taking taylor expansion of N in N 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 1 into 1 2.123 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.123 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.123 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.123 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.123 * [taylor]: Taking taylor expansion of N in N 2.123 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [taylor]: Taking taylor expansion of 1.0 in N 2.124 * [backup-simplify]: Simplify 1.0 into 1.0 2.124 * [taylor]: Taking taylor expansion of N in N 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.124 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.124 * [backup-simplify]: Simplify 1.0 into 1.0 2.124 * [backup-simplify]: Simplify (+ 1 0) into 1 2.125 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.125 * [backup-simplify]: Simplify 1 into 1 2.125 * [backup-simplify]: Simplify (+ 0 0) into 0 2.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify (+ 0 0) into 0 2.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify (+ 0 0) into 0 2.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify (+ 0 0) into 0 2.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify (+ 0 0) into 0 2.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify (+ 0 0) into 0 2.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.130 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 2.131 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 2.131 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 2.131 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.131 * [taylor]: Taking taylor expansion of N in N 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 1 into 1 2.131 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.131 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.131 * [taylor]: Taking taylor expansion of N in N 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 1 into 1 2.131 * [backup-simplify]: Simplify (/ 1 1) into 1 2.131 * [taylor]: Taking taylor expansion of 1.0 in N 2.131 * [backup-simplify]: Simplify 1.0 into 1.0 2.131 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.131 * [taylor]: Taking taylor expansion of N in N 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 1 into 1 2.131 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.131 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.131 * [taylor]: Taking taylor expansion of N in N 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 1 into 1 2.131 * [backup-simplify]: Simplify (/ 1 1) into 1 2.131 * [taylor]: Taking taylor expansion of 1.0 in N 2.132 * [backup-simplify]: Simplify 1.0 into 1.0 2.132 * [backup-simplify]: Simplify (+ 1 0) into 1 2.132 * [backup-simplify]: Simplify (* 0 1) into 0 2.132 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.133 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.133 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.133 * [backup-simplify]: Simplify 1 into 1 2.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.134 * [backup-simplify]: Simplify (+ 0 0) into 0 2.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.136 * [backup-simplify]: Simplify 1.0 into 1.0 2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.136 * [backup-simplify]: Simplify (+ 0 0) into 0 2.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.137 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.138 * [backup-simplify]: Simplify (+ 0 0) into 0 2.139 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.139 * [backup-simplify]: Simplify (+ 0 0) into 0 2.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.141 * [backup-simplify]: Simplify (+ 0 0) into 0 2.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 2.142 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.144 * [backup-simplify]: Simplify (+ 0 0) into 0 2.146 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (+ 0 0) into 0 2.150 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.151 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 2.151 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 2.151 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.151 * [taylor]: Taking taylor expansion of -1 in N 2.151 * [backup-simplify]: Simplify -1 into -1 2.151 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.151 * [taylor]: Taking taylor expansion of N in N 2.151 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify 1 into 1 2.152 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.152 * [taylor]: Taking taylor expansion of 1.0 in N 2.152 * [backup-simplify]: Simplify 1.0 into 1.0 2.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.152 * [taylor]: Taking taylor expansion of N in N 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify 1 into 1 2.152 * [backup-simplify]: Simplify (/ 1 1) into 1 2.152 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.152 * [taylor]: Taking taylor expansion of -1 in N 2.152 * [backup-simplify]: Simplify -1 into -1 2.152 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.153 * [taylor]: Taking taylor expansion of N in N 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 1 into 1 2.153 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.153 * [taylor]: Taking taylor expansion of 1.0 in N 2.153 * [backup-simplify]: Simplify 1.0 into 1.0 2.153 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.153 * [taylor]: Taking taylor expansion of N in N 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 1 into 1 2.153 * [backup-simplify]: Simplify (/ 1 1) into 1 2.154 * [backup-simplify]: Simplify (- 1) into -1 2.154 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.154 * [backup-simplify]: Simplify (* 0 -1) into 0 2.155 * [backup-simplify]: Simplify (* -1 0) into 0 2.155 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.156 * [backup-simplify]: Simplify (- 0) into 0 2.157 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.157 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.158 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.158 * [backup-simplify]: Simplify 1 into 1 2.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.159 * [backup-simplify]: Simplify (- 0) into 0 2.160 * [backup-simplify]: Simplify (+ 0 0) into 0 2.163 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.165 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.165 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.166 * [backup-simplify]: Simplify (- 0) into 0 2.167 * [backup-simplify]: Simplify (+ 0 0) into 0 2.167 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.168 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.168 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.169 * [backup-simplify]: Simplify (- 0) into 0 2.169 * [backup-simplify]: Simplify (+ 0 0) into 0 2.170 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.171 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.171 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.173 * [backup-simplify]: Simplify (- 0) into 0 2.173 * [backup-simplify]: Simplify (+ 0 0) into 0 2.175 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.176 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.177 * [backup-simplify]: Simplify (- 0) into 0 2.177 * [backup-simplify]: Simplify (+ 0 0) into 0 2.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.185 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 2.185 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.186 * [backup-simplify]: Simplify (- 0) into 0 2.186 * [backup-simplify]: Simplify (+ 0 0) into 0 2.187 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.189 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.189 * [backup-simplify]: Simplify (- 0) into 0 2.190 * [backup-simplify]: Simplify (+ 0 0) into 0 2.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 2.192 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 2.192 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.193 * * * [progress]: simplifying candidates 2.194 * [simplify]: Simplifying: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 2.195 * * [simplify]: Extracting # 0 : cost 0 2.195 * * [simplify]: Extracting # 1 : cost 0 2.196 * * [simplify]: Extracting # 2 : cost 0 2.196 * * [simplify]: Extracting # 3 : cost 0 2.196 * * [simplify]: Extracting # 4 : cost 0 2.196 * * [simplify]: Extracting # 5 : cost 0 2.196 * * [simplify]: Extracting # 6 : cost 0 2.196 * * [simplify]: Extracting # 7 : cost 0 2.196 * * [simplify]: Extracting # 8 : cost 0 2.197 * * [simplify]: Extracting # 9 : cost 0 2.197 * * [simplify]: iteration 0 : 112 enodes (cost 749 ) 2.238 * * [simplify]: Extracting # 0 : cost 0 2.238 * * [simplify]: Extracting # 1 : cost 0 2.239 * * [simplify]: Extracting # 2 : cost 0 2.239 * * [simplify]: Extracting # 3 : cost 0 2.239 * * [simplify]: iteration 1 : 253 enodes (cost 708 ) 2.372 * * [simplify]: Extracting # 0 : cost 0 2.374 * * [simplify]: Extracting # 1 : cost 0 2.375 * * [simplify]: Extracting # 2 : cost 0 2.377 * * [simplify]: Extracting # 3 : cost 0 2.378 * * [simplify]: Extracting # 4 : cost 0 2.380 * * [simplify]: iteration 2 : 1053 enodes (cost 660 ) 2.878 * * [simplify]: Extracting # 0 : cost 0 2.889 * * [simplify]: Extracting # 1 : cost 0 2.899 * * [simplify]: Extracting # 2 : cost 0 2.906 * * [simplify]: Extracting # 3 : cost 0 3.252 * * [simplify]: Extracting # 4 : cost 0 3.259 * * [simplify]: iteration done: 5000 enodes (cost 647 ) 3.260 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (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))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (fma N N (* 1.0 (- 1.0 N)))) (* N (- N 1.0)) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 3.260 * * * [progress]: adding candidates to table 3.500 * * [progress]: iteration 3 / 4 3.500 * * * [progress]: picking best candidate 3.514 * * * * [pick]: Picked # 3.515 * * * [progress]: localizing error 3.545 * * * [progress]: generating rewritten candidates 3.545 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.548 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.549 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.575 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.577 * * * [progress]: generating series expansions 3.577 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.577 * [backup-simplify]: Simplify (log (expm1 (log1p (/ (+ N 1.0) N)))) into (log (expm1 (log1p (/ (+ N 1.0) N)))) 3.577 * [approximate]: Taking taylor expansion of (log (expm1 (log1p (/ (+ N 1.0) N)))) in (N) around 0 3.577 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (/ (+ N 1.0) N)))) in N 3.577 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ N 1.0) N))) in N 3.579 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ N 1.0) N))) 1) 3.579 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ N 1.0) N))) in N 3.579 * [taylor]: Taking taylor expansion of (log1p (/ (+ N 1.0) N)) in N 3.579 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ N 1.0) N))) 3.579 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ N 1.0) N)) in N 3.579 * [taylor]: Taking taylor expansion of 1 in N 3.579 * [backup-simplify]: Simplify 1 into 1 3.579 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.579 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.579 * [taylor]: Taking taylor expansion of N in N 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify 1 into 1 3.579 * [taylor]: Taking taylor expansion of 1.0 in N 3.579 * [backup-simplify]: Simplify 1.0 into 1.0 3.579 * [taylor]: Taking taylor expansion of N in N 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify 1 into 1 3.579 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.580 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.580 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.580 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.581 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.581 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.582 * [backup-simplify]: Simplify (exp (- (log 1.0) (log N))) into (exp (- (log 1.0) (log N))) 3.582 * [taylor]: Taking taylor expansion of 1 in N 3.582 * [backup-simplify]: Simplify 1 into 1 3.582 * [backup-simplify]: Simplify (- 1) into -1 3.582 * [backup-simplify]: Simplify (+ (exp (- (log 1.0) (log N))) -1) into (- (exp (- (log 1.0) (log N))) 1) 3.583 * [backup-simplify]: Simplify (log (- (exp (- (log 1.0) (log N))) 1)) into (log (- (exp (- (log 1.0) (log N))) 1)) 3.583 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (/ (+ N 1.0) N)))) in N 3.583 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ N 1.0) N))) in N 3.583 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ N 1.0) N))) 1) 3.583 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ N 1.0) N))) in N 3.583 * [taylor]: Taking taylor expansion of (log1p (/ (+ N 1.0) N)) in N 3.583 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ N 1.0) N))) 3.583 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ N 1.0) N)) in N 3.583 * [taylor]: Taking taylor expansion of 1 in N 3.583 * [backup-simplify]: Simplify 1 into 1 3.583 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.583 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.583 * [taylor]: Taking taylor expansion of N in N 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify 1 into 1 3.583 * [taylor]: Taking taylor expansion of 1.0 in N 3.583 * [backup-simplify]: Simplify 1.0 into 1.0 3.583 * [taylor]: Taking taylor expansion of N in N 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify 1 into 1 3.583 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.584 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.584 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.584 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.585 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.585 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.585 * [backup-simplify]: Simplify (exp (- (log 1.0) (log N))) into (exp (- (log 1.0) (log N))) 3.585 * [taylor]: Taking taylor expansion of 1 in N 3.585 * [backup-simplify]: Simplify 1 into 1 3.586 * [backup-simplify]: Simplify (- 1) into -1 3.586 * [backup-simplify]: Simplify (+ (exp (- (log 1.0) (log N))) -1) into (- (exp (- (log 1.0) (log N))) 1) 3.586 * [backup-simplify]: Simplify (log (- (exp (- (log 1.0) (log N))) 1)) into (log (- (exp (- (log 1.0) (log N))) 1)) 3.587 * [backup-simplify]: Simplify (log (- (exp (- (log 1.0) (log N))) 1)) into (log (- (exp (- (log 1.0) (log N))) 1)) 3.587 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.588 * [backup-simplify]: Simplify (+ 1 0) into 1 3.588 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.589 * [backup-simplify]: Simplify (+ 1 1) into 2 3.592 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1.0 1)))) 1) into 2.0 3.594 * [backup-simplify]: Simplify (* (exp (- (log 1.0) (log N))) (+ (* (/ (pow 2.0 1) 1)))) into (* 2.0 (exp (- (log 1.0) (log N)))) 3.594 * [backup-simplify]: Simplify (- 0) into 0 3.595 * [backup-simplify]: Simplify (+ (* 2.0 (exp (- (log 1.0) (log N)))) 0) into (* 2.0 (exp (- (log 1.0) (log N)))) 3.596 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2.0 (exp (- (log 1.0) (log N))))) 1)) (pow (- (exp (- (log 1.0) (log N))) 1) 1)))) 1) into (* 2.0 (/ (exp (- (log 1.0) (log N))) (- (exp (- (log 1.0) (log N))) 1))) 3.596 * [backup-simplify]: Simplify (* 2.0 (/ (exp (- (log 1.0) (log N))) (- (exp (- (log 1.0) (log N))) 1))) into (* 2.0 (/ (exp (- (log 1.0) (log N))) (- (exp (- (log 1.0) (log N))) 1))) 3.597 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.597 * [backup-simplify]: Simplify (+ 0 0) into 0 3.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.598 * [backup-simplify]: Simplify (+ 0 0) into 0 3.608 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -2 (pow 1.0 2)) 3.613 * [backup-simplify]: Simplify (* (exp (- (log 1.0) (log N))) (+ (* (/ (pow 2.0 2) 2)) (* (/ (pow (/ -2 (pow 1.0 2)) 1) 1)))) into (* (- 2.0 (* 2 (/ 1 (pow 1.0 2)))) (exp (- (log 1.0) (log N)))) 3.614 * [backup-simplify]: Simplify (- 0) into 0 3.616 * [backup-simplify]: Simplify (+ (* (- 2.0 (* 2 (/ 1 (pow 1.0 2)))) (exp (- (log 1.0) (log N)))) 0) into (- (* 2.0 (exp (- (log 1.0) (log N)))) (* 2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2)))) 3.618 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2.0 (exp (- (log 1.0) (log N))))) 2)) (pow (- (exp (- (log 1.0) (log N))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2.0 (exp (- (log 1.0) (log N)))) (* 2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2))))) 1)) (pow (- (exp (- (log 1.0) (log N))) 1) 1)))) 2) into (* 1/2 (- (* 4.0 (/ (exp (- (log 1.0) (log N))) (- (exp (- (log 1.0) (log N))) 1))) (+ (* 4 (/ (exp (- (log 1.0) (log N))) (* (- (exp (- (log 1.0) (log N))) 1) (pow 1.0 2)))) (* 4.0 (/ (pow (exp (- (log 1.0) (log N))) 2) (pow (- (exp (- (log 1.0) (log N))) 1) 2)))))) 3.626 * [backup-simplify]: Simplify (* 1/2 (- (* 4.0 (/ (exp (- (log 1.0) (log N))) (- (exp (- (log 1.0) (log N))) 1))) (+ (* 4 (/ (exp (- (log 1.0) (log N))) (* (- (exp (- (log 1.0) (log N))) 1) (pow 1.0 2)))) (* 4.0 (/ (pow (exp (- (log 1.0) (log N))) 2) (pow (- (exp (- (log 1.0) (log N))) 1) 2)))))) into (* 1/2 (- (* 4.0 (/ (exp (- (log 1.0) (log N))) (- (exp (- (log 1.0) (log N))) 1))) (+ (* 4 (/ (exp (- (log 1.0) (log N))) (* (- (exp (- (log 1.0) (log N))) 1) (pow 1.0 2)))) (* 4.0 (/ (pow (exp (- (log 1.0) (log N))) 2) (pow (- (exp (- (log 1.0) (log N))) 1) 2)))))) 3.630 * [backup-simplify]: Simplify (+ (* (* 1/2 (- (* 4.0 (/ (exp (- (log 1.0) (log N))) (- (exp (- (log 1.0) (log N))) 1))) (+ (* 4 (/ (exp (- (log 1.0) (log N))) (* (- (exp (- (log 1.0) (log N))) 1) (pow 1.0 2)))) (* 4.0 (/ (pow (exp (- (log 1.0) (log N))) 2) (pow (- (exp (- (log 1.0) (log N))) 1) 2)))))) (pow N 2)) (+ (* (* 2.0 (/ (exp (- (log 1.0) (log N))) (- (exp (- (log 1.0) (log N))) 1))) N) (log (- (exp (- (log 1.0) (log N))) 1)))) into (- (+ (* 2.0 (/ (* (pow N 2) (exp (- (log 1.0) (log N)))) (- (exp (- (log 1.0) (log N))) 1))) (+ (* 2.0 (/ (* N (exp (- (log 1.0) (log N)))) (- (exp (- (log 1.0) (log N))) 1))) (log (- (exp (- (log 1.0) (log N))) 1)))) (+ (* 2.0 (/ (* (pow N 2) (pow (exp (- (log 1.0) (log N))) 2)) (pow (- (exp (- (log 1.0) (log N))) 1) 2))) (* 2 (/ (* (pow N 2) (exp (- (log 1.0) (log N)))) (* (- (exp (- (log 1.0) (log N))) 1) (pow 1.0 2)))))) 3.630 * [backup-simplify]: Simplify (log (expm1 (log1p (/ (+ (/ 1 N) 1.0) (/ 1 N))))) into (log (expm1 (log1p (* N (+ (/ 1 N) 1.0))))) 3.630 * [approximate]: Taking taylor expansion of (log (expm1 (log1p (* N (+ (/ 1 N) 1.0))))) in (N) around 0 3.630 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (* N (+ (/ 1 N) 1.0))))) in N 3.630 * [taylor]: Taking taylor expansion of (expm1 (log1p (* N (+ (/ 1 N) 1.0)))) in N 3.631 * [taylor]: Rewrote expression to (- (exp (log1p (* N (+ (/ 1 N) 1.0)))) 1) 3.631 * [taylor]: Taking taylor expansion of (exp (log1p (* N (+ (/ 1 N) 1.0)))) in N 3.631 * [taylor]: Taking taylor expansion of (log1p (* N (+ (/ 1 N) 1.0))) in N 3.631 * [taylor]: Rewrote expression to (log (+ 1 (* N (+ (/ 1 N) 1.0)))) 3.631 * [taylor]: Taking taylor expansion of (+ 1 (* N (+ (/ 1 N) 1.0))) in N 3.631 * [taylor]: Taking taylor expansion of 1 in N 3.631 * [backup-simplify]: Simplify 1 into 1 3.631 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.631 * [taylor]: Taking taylor expansion of N in N 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify 1 into 1 3.631 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.631 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.631 * [taylor]: Taking taylor expansion of N in N 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify 1 into 1 3.632 * [backup-simplify]: Simplify (/ 1 1) into 1 3.632 * [taylor]: Taking taylor expansion of 1.0 in N 3.632 * [backup-simplify]: Simplify 1.0 into 1.0 3.632 * [backup-simplify]: Simplify (+ 1 0) into 1 3.633 * [backup-simplify]: Simplify (* 0 1) into 0 3.633 * [backup-simplify]: Simplify (+ 0 0) into 0 3.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.634 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.635 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.635 * [backup-simplify]: Simplify (+ 1 1) into 2 3.636 * [backup-simplify]: Simplify (log 2) into (log 2) 3.636 * [backup-simplify]: Simplify (exp (log 2)) into 2 3.636 * [taylor]: Taking taylor expansion of 1 in N 3.637 * [backup-simplify]: Simplify 1 into 1 3.637 * [backup-simplify]: Simplify (- 1) into -1 3.637 * [backup-simplify]: Simplify (+ 2 -1) into 1 3.638 * [backup-simplify]: Simplify (log 1) into 0 3.638 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (* N (+ (/ 1 N) 1.0))))) in N 3.638 * [taylor]: Taking taylor expansion of (expm1 (log1p (* N (+ (/ 1 N) 1.0)))) in N 3.638 * [taylor]: Rewrote expression to (- (exp (log1p (* N (+ (/ 1 N) 1.0)))) 1) 3.638 * [taylor]: Taking taylor expansion of (exp (log1p (* N (+ (/ 1 N) 1.0)))) in N 3.638 * [taylor]: Taking taylor expansion of (log1p (* N (+ (/ 1 N) 1.0))) in N 3.638 * [taylor]: Rewrote expression to (log (+ 1 (* N (+ (/ 1 N) 1.0)))) 3.638 * [taylor]: Taking taylor expansion of (+ 1 (* N (+ (/ 1 N) 1.0))) in N 3.638 * [taylor]: Taking taylor expansion of 1 in N 3.638 * [backup-simplify]: Simplify 1 into 1 3.638 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.638 * [taylor]: Taking taylor expansion of N in N 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify 1 into 1 3.638 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.638 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.638 * [taylor]: Taking taylor expansion of N in N 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify 1 into 1 3.639 * [backup-simplify]: Simplify (/ 1 1) into 1 3.639 * [taylor]: Taking taylor expansion of 1.0 in N 3.639 * [backup-simplify]: Simplify 1.0 into 1.0 3.639 * [backup-simplify]: Simplify (+ 1 0) into 1 3.640 * [backup-simplify]: Simplify (* 0 1) into 0 3.640 * [backup-simplify]: Simplify (+ 0 0) into 0 3.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.641 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.642 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.642 * [backup-simplify]: Simplify (+ 1 1) into 2 3.643 * [backup-simplify]: Simplify (log 2) into (log 2) 3.644 * [backup-simplify]: Simplify (exp (log 2)) into 2 3.644 * [taylor]: Taking taylor expansion of 1 in N 3.644 * [backup-simplify]: Simplify 1 into 1 3.644 * [backup-simplify]: Simplify (- 1) into -1 3.644 * [backup-simplify]: Simplify (+ 2 -1) into 1 3.645 * [backup-simplify]: Simplify (log 1) into 0 3.645 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.646 * [backup-simplify]: Simplify (+ 0 0) into 0 3.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.649 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.656 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 2 1)))) 1) into 0.5 3.661 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow 0.5 1) 1)))) into 1.0 3.661 * [backup-simplify]: Simplify (- 0) into 0 3.662 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.668 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.668 * [backup-simplify]: Simplify 1.0 into 1.0 3.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.669 * [backup-simplify]: Simplify (+ 0 0) into 0 3.670 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.671 * [backup-simplify]: Simplify (+ 0 0) into 0 3.678 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into -0.125 3.682 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow 0.5 2) 2)) (* (/ (pow -0.125 1) 1)))) into 0 3.683 * [backup-simplify]: Simplify (- 0) into 0 3.683 * [backup-simplify]: Simplify (+ 0 0) into 0 3.689 * [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 3.689 * [backup-simplify]: Simplify -0.5 into -0.5 3.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.690 * [backup-simplify]: Simplify (+ 0 0) into 0 3.691 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.691 * [backup-simplify]: Simplify (+ 0 0) into 0 3.701 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0.041666666666666664 3.708 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow 0.5 3) 6)) (* (/ (pow 0.5 1) 1) (/ (pow -0.125 1) 1)) (* (/ (pow 0.041666666666666664 1) 1)))) into -1.3877787807814457e-17 3.708 * [backup-simplify]: Simplify (- 0) into 0 3.709 * [backup-simplify]: Simplify (+ -1.3877787807814457e-17 0) into (- 1.3877787807814457e-17) 3.721 * [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 (- 1.3877787807814457e-17)) 1)) (pow 1 1)))) 6) into 0.3333333333333333 3.721 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.722 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.722 * [backup-simplify]: Simplify (log (expm1 (log1p (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (log (expm1 (log1p (* -1 (* N (- 1.0 (/ 1 N))))))) 3.722 * [approximate]: Taking taylor expansion of (log (expm1 (log1p (* -1 (* N (- 1.0 (/ 1 N))))))) in (N) around 0 3.722 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (* -1 (* N (- 1.0 (/ 1 N))))))) in N 3.722 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.722 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (* N (- 1.0 (/ 1 N)))))) 1) 3.722 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.722 * [taylor]: Taking taylor expansion of (log1p (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.722 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (* N (- 1.0 (/ 1 N)))))) 3.722 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.722 * [taylor]: Taking taylor expansion of 1 in N 3.722 * [backup-simplify]: Simplify 1 into 1 3.722 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.722 * [taylor]: Taking taylor expansion of -1 in N 3.722 * [backup-simplify]: Simplify -1 into -1 3.722 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.722 * [taylor]: Taking taylor expansion of N in N 3.722 * [backup-simplify]: Simplify 0 into 0 3.722 * [backup-simplify]: Simplify 1 into 1 3.722 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.722 * [taylor]: Taking taylor expansion of 1.0 in N 3.722 * [backup-simplify]: Simplify 1.0 into 1.0 3.722 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.722 * [taylor]: Taking taylor expansion of N in N 3.722 * [backup-simplify]: Simplify 0 into 0 3.722 * [backup-simplify]: Simplify 1 into 1 3.723 * [backup-simplify]: Simplify (/ 1 1) into 1 3.723 * [backup-simplify]: Simplify (- 1) into -1 3.723 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.723 * [backup-simplify]: Simplify (* 0 -1) into 0 3.726 * [backup-simplify]: Simplify (* -1 0) into 0 3.727 * [backup-simplify]: Simplify (+ 0 0) into 0 3.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.727 * [backup-simplify]: Simplify (- 0) into 0 3.728 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.728 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.729 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.729 * [backup-simplify]: Simplify (+ 1 1) into 2 3.729 * [backup-simplify]: Simplify (log 2) into (log 2) 3.730 * [backup-simplify]: Simplify (exp (log 2)) into 2 3.730 * [taylor]: Taking taylor expansion of 1 in N 3.730 * [backup-simplify]: Simplify 1 into 1 3.730 * [backup-simplify]: Simplify (- 1) into -1 3.730 * [backup-simplify]: Simplify (+ 2 -1) into 1 3.730 * [backup-simplify]: Simplify (log 1) into 0 3.730 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (* -1 (* N (- 1.0 (/ 1 N))))))) in N 3.730 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.731 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (* N (- 1.0 (/ 1 N)))))) 1) 3.731 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.731 * [taylor]: Taking taylor expansion of (log1p (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.731 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (* N (- 1.0 (/ 1 N)))))) 3.731 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.731 * [taylor]: Taking taylor expansion of 1 in N 3.731 * [backup-simplify]: Simplify 1 into 1 3.731 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.731 * [taylor]: Taking taylor expansion of -1 in N 3.731 * [backup-simplify]: Simplify -1 into -1 3.731 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.731 * [taylor]: Taking taylor expansion of N in N 3.731 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify 1 into 1 3.731 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.731 * [taylor]: Taking taylor expansion of 1.0 in N 3.731 * [backup-simplify]: Simplify 1.0 into 1.0 3.731 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.731 * [taylor]: Taking taylor expansion of N in N 3.731 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify 1 into 1 3.731 * [backup-simplify]: Simplify (/ 1 1) into 1 3.731 * [backup-simplify]: Simplify (- 1) into -1 3.732 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.732 * [backup-simplify]: Simplify (* 0 -1) into 0 3.732 * [backup-simplify]: Simplify (* -1 0) into 0 3.732 * [backup-simplify]: Simplify (+ 0 0) into 0 3.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.733 * [backup-simplify]: Simplify (- 0) into 0 3.733 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.734 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.734 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.734 * [backup-simplify]: Simplify (+ 1 1) into 2 3.735 * [backup-simplify]: Simplify (log 2) into (log 2) 3.735 * [backup-simplify]: Simplify (exp (log 2)) into 2 3.735 * [taylor]: Taking taylor expansion of 1 in N 3.735 * [backup-simplify]: Simplify 1 into 1 3.735 * [backup-simplify]: Simplify (- 1) into -1 3.736 * [backup-simplify]: Simplify (+ 2 -1) into 1 3.736 * [backup-simplify]: Simplify (log 1) into 0 3.736 * [backup-simplify]: Simplify 0 into 0 3.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.737 * [backup-simplify]: Simplify (- 0) into 0 3.737 * [backup-simplify]: Simplify (+ 0 0) into 0 3.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.740 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.741 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.745 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 2 1)))) 1) into -0.5 3.748 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow -0.5 1) 1)))) into -1.0 3.748 * [backup-simplify]: Simplify (- 0) into 0 3.748 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 3.753 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 3.753 * [backup-simplify]: Simplify -1.0 into -1.0 3.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.753 * [backup-simplify]: Simplify (- 0) into 0 3.754 * [backup-simplify]: Simplify (+ 0 0) into 0 3.754 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.755 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.755 * [backup-simplify]: Simplify (+ 0 0) into 0 3.763 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into -0.125 3.767 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow -0.5 2) 2)) (* (/ (pow -0.125 1) 1)))) into 0 3.767 * [backup-simplify]: Simplify (- 0) into 0 3.767 * [backup-simplify]: Simplify (+ 0 0) into 0 3.777 * [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 3.777 * [backup-simplify]: Simplify -0.5 into -0.5 3.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.779 * [backup-simplify]: Simplify (- 0) into 0 3.779 * [backup-simplify]: Simplify (+ 0 0) into 0 3.781 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.782 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.782 * [backup-simplify]: Simplify (+ 0 0) into 0 3.793 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into -0.041666666666666664 3.801 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow -0.5 3) 6)) (* (/ (pow -0.5 1) 1) (/ (pow -0.125 1) 1)) (* (/ (pow -0.041666666666666664 1) 1)))) into 1.3877787807814457e-17 3.801 * [backup-simplify]: Simplify (- 0) into 0 3.801 * [backup-simplify]: Simplify (+ 1.3877787807814457e-17 0) into 1.3877787807814457e-17 3.817 * [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 1.3877787807814457e-17) 1)) (pow 1 1)))) 6) into -0.3333333333333333 3.817 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.817 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.817 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.818 * [backup-simplify]: Simplify (expm1 (log1p (/ (+ N 1.0) N))) into (expm1 (log1p (/ (+ N 1.0) N))) 3.818 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ (+ N 1.0) N))) in (N) around 0 3.818 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ N 1.0) N))) in N 3.818 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ N 1.0) N))) 1) 3.818 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ N 1.0) N))) in N 3.818 * [taylor]: Taking taylor expansion of (log1p (/ (+ N 1.0) N)) in N 3.818 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ N 1.0) N))) 3.818 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ N 1.0) N)) in N 3.818 * [taylor]: Taking taylor expansion of 1 in N 3.818 * [backup-simplify]: Simplify 1 into 1 3.818 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.818 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.818 * [taylor]: Taking taylor expansion of N in N 3.818 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify 1 into 1 3.818 * [taylor]: Taking taylor expansion of 1.0 in N 3.818 * [backup-simplify]: Simplify 1.0 into 1.0 3.818 * [taylor]: Taking taylor expansion of N in N 3.818 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify 1 into 1 3.818 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.819 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.819 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.819 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.820 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.820 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.820 * [backup-simplify]: Simplify (exp (- (log 1.0) (log N))) into (exp (- (log 1.0) (log N))) 3.820 * [taylor]: Taking taylor expansion of 1 in N 3.820 * [backup-simplify]: Simplify 1 into 1 3.820 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ N 1.0) N))) in N 3.821 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ N 1.0) N))) 1) 3.821 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ N 1.0) N))) in N 3.821 * [taylor]: Taking taylor expansion of (log1p (/ (+ N 1.0) N)) in N 3.821 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ N 1.0) N))) 3.821 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ N 1.0) N)) in N 3.821 * [taylor]: Taking taylor expansion of 1 in N 3.821 * [backup-simplify]: Simplify 1 into 1 3.821 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.821 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.821 * [taylor]: Taking taylor expansion of N in N 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify 1 into 1 3.821 * [taylor]: Taking taylor expansion of 1.0 in N 3.821 * [backup-simplify]: Simplify 1.0 into 1.0 3.821 * [taylor]: Taking taylor expansion of N in N 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify 1 into 1 3.821 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.821 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.822 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.822 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.822 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.823 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.823 * [backup-simplify]: Simplify (exp (- (log 1.0) (log N))) into (exp (- (log 1.0) (log N))) 3.823 * [taylor]: Taking taylor expansion of 1 in N 3.823 * [backup-simplify]: Simplify 1 into 1 3.824 * [backup-simplify]: Simplify (- 1) into -1 3.824 * [backup-simplify]: Simplify (+ (exp (- (log 1.0) (log N))) -1) into (- (exp (- (log 1.0) (log N))) 1) 3.824 * [backup-simplify]: Simplify (- (exp (- (log 1.0) (log N))) 1) into (- (exp (- (log 1.0) (log N))) 1) 3.825 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.825 * [backup-simplify]: Simplify (+ 1 0) into 1 3.825 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.826 * [backup-simplify]: Simplify (+ 1 1) into 2 3.829 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1.0 1)))) 1) into 2.0 3.831 * [backup-simplify]: Simplify (* (exp (- (log 1.0) (log N))) (+ (* (/ (pow 2.0 1) 1)))) into (* 2.0 (exp (- (log 1.0) (log N)))) 3.831 * [backup-simplify]: Simplify (- 0) into 0 3.831 * [backup-simplify]: Simplify (+ (* 2.0 (exp (- (log 1.0) (log N)))) 0) into (* 2.0 (exp (- (log 1.0) (log N)))) 3.831 * [backup-simplify]: Simplify (* 2.0 (exp (- (log 1.0) (log N)))) into (* 2.0 (exp (- (log 1.0) (log N)))) 3.832 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.832 * [backup-simplify]: Simplify (+ 0 0) into 0 3.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.833 * [backup-simplify]: Simplify (+ 0 0) into 0 3.839 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -2 (pow 1.0 2)) 3.843 * [backup-simplify]: Simplify (* (exp (- (log 1.0) (log N))) (+ (* (/ (pow 2.0 2) 2)) (* (/ (pow (/ -2 (pow 1.0 2)) 1) 1)))) into (* (- 2.0 (* 2 (/ 1 (pow 1.0 2)))) (exp (- (log 1.0) (log N)))) 3.843 * [backup-simplify]: Simplify (- 0) into 0 3.845 * [backup-simplify]: Simplify (+ (* (- 2.0 (* 2 (/ 1 (pow 1.0 2)))) (exp (- (log 1.0) (log N)))) 0) into (- (* 2.0 (exp (- (log 1.0) (log N)))) (* 2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2)))) 3.846 * [backup-simplify]: Simplify (- (* 2.0 (exp (- (log 1.0) (log N)))) (* 2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2)))) into (- (* 2.0 (exp (- (log 1.0) (log N)))) (* 2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2)))) 3.848 * [backup-simplify]: Simplify (+ (* (- (* 2.0 (exp (- (log 1.0) (log N)))) (* 2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2)))) (pow N 2)) (+ (* (* 2.0 (exp (- (log 1.0) (log N)))) N) (- (exp (- (log 1.0) (log N))) 1))) into (- (+ (* 2.0 (* N (exp (- (log 1.0) (log N))))) (+ (* 2.0 (* (pow N 2) (exp (- (log 1.0) (log N))))) (exp (- (log 1.0) (log N))))) (+ 1 (* 2 (/ (* (pow N 2) (exp (- (log 1.0) (log N)))) (pow 1.0 2))))) 3.848 * [backup-simplify]: Simplify (expm1 (log1p (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (expm1 (log1p (* N (+ (/ 1 N) 1.0)))) 3.848 * [approximate]: Taking taylor expansion of (expm1 (log1p (* N (+ (/ 1 N) 1.0)))) in (N) around 0 3.848 * [taylor]: Taking taylor expansion of (expm1 (log1p (* N (+ (/ 1 N) 1.0)))) in N 3.848 * [taylor]: Rewrote expression to (- (exp (log1p (* N (+ (/ 1 N) 1.0)))) 1) 3.848 * [taylor]: Taking taylor expansion of (exp (log1p (* N (+ (/ 1 N) 1.0)))) in N 3.848 * [taylor]: Taking taylor expansion of (log1p (* N (+ (/ 1 N) 1.0))) in N 3.848 * [taylor]: Rewrote expression to (log (+ 1 (* N (+ (/ 1 N) 1.0)))) 3.848 * [taylor]: Taking taylor expansion of (+ 1 (* N (+ (/ 1 N) 1.0))) in N 3.848 * [taylor]: Taking taylor expansion of 1 in N 3.848 * [backup-simplify]: Simplify 1 into 1 3.848 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.848 * [taylor]: Taking taylor expansion of N in N 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 1 into 1 3.848 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.848 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.848 * [taylor]: Taking taylor expansion of N in N 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 1 into 1 3.849 * [backup-simplify]: Simplify (/ 1 1) into 1 3.849 * [taylor]: Taking taylor expansion of 1.0 in N 3.849 * [backup-simplify]: Simplify 1.0 into 1.0 3.849 * [backup-simplify]: Simplify (+ 1 0) into 1 3.849 * [backup-simplify]: Simplify (* 0 1) into 0 3.849 * [backup-simplify]: Simplify (+ 0 0) into 0 3.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.850 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.851 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.851 * [backup-simplify]: Simplify (+ 1 1) into 2 3.851 * [backup-simplify]: Simplify (log 2) into (log 2) 3.852 * [backup-simplify]: Simplify (exp (log 2)) into 2 3.852 * [taylor]: Taking taylor expansion of 1 in N 3.852 * [backup-simplify]: Simplify 1 into 1 3.852 * [taylor]: Taking taylor expansion of (expm1 (log1p (* N (+ (/ 1 N) 1.0)))) in N 3.852 * [taylor]: Rewrote expression to (- (exp (log1p (* N (+ (/ 1 N) 1.0)))) 1) 3.852 * [taylor]: Taking taylor expansion of (exp (log1p (* N (+ (/ 1 N) 1.0)))) in N 3.852 * [taylor]: Taking taylor expansion of (log1p (* N (+ (/ 1 N) 1.0))) in N 3.852 * [taylor]: Rewrote expression to (log (+ 1 (* N (+ (/ 1 N) 1.0)))) 3.852 * [taylor]: Taking taylor expansion of (+ 1 (* N (+ (/ 1 N) 1.0))) in N 3.852 * [taylor]: Taking taylor expansion of 1 in N 3.852 * [backup-simplify]: Simplify 1 into 1 3.852 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.852 * [taylor]: Taking taylor expansion of N in N 3.852 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify 1 into 1 3.852 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.852 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.852 * [taylor]: Taking taylor expansion of N in N 3.852 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify 1 into 1 3.852 * [backup-simplify]: Simplify (/ 1 1) into 1 3.852 * [taylor]: Taking taylor expansion of 1.0 in N 3.852 * [backup-simplify]: Simplify 1.0 into 1.0 3.853 * [backup-simplify]: Simplify (+ 1 0) into 1 3.853 * [backup-simplify]: Simplify (* 0 1) into 0 3.853 * [backup-simplify]: Simplify (+ 0 0) into 0 3.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.854 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.855 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.855 * [backup-simplify]: Simplify (+ 1 1) into 2 3.855 * [backup-simplify]: Simplify (log 2) into (log 2) 3.856 * [backup-simplify]: Simplify (exp (log 2)) into 2 3.856 * [taylor]: Taking taylor expansion of 1 in N 3.856 * [backup-simplify]: Simplify 1 into 1 3.857 * [backup-simplify]: Simplify (- 1) into -1 3.857 * [backup-simplify]: Simplify (+ 2 -1) into 1 3.857 * [backup-simplify]: Simplify 1 into 1 3.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.858 * [backup-simplify]: Simplify (+ 0 0) into 0 3.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.862 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.868 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 2 1)))) 1) into 0.5 3.873 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow 0.5 1) 1)))) into 1.0 3.873 * [backup-simplify]: Simplify (- 0) into 0 3.874 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.874 * [backup-simplify]: Simplify 1.0 into 1.0 3.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.875 * [backup-simplify]: Simplify (+ 0 0) into 0 3.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.876 * [backup-simplify]: Simplify (+ 0 0) into 0 3.888 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into -0.125 3.895 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow 0.5 2) 2)) (* (/ (pow -0.125 1) 1)))) into 0 3.895 * [backup-simplify]: Simplify (- 0) into 0 3.896 * [backup-simplify]: Simplify (+ 0 0) into 0 3.896 * [backup-simplify]: Simplify 0 into 0 3.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.897 * [backup-simplify]: Simplify (+ 0 0) into 0 3.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.899 * [backup-simplify]: Simplify (+ 0 0) into 0 3.910 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0.041666666666666664 3.918 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow 0.5 3) 6)) (* (/ (pow 0.5 1) 1) (/ (pow -0.125 1) 1)) (* (/ (pow 0.041666666666666664 1) 1)))) into -1.3877787807814457e-17 3.918 * [backup-simplify]: Simplify (- 0) into 0 3.918 * [backup-simplify]: Simplify (+ -1.3877787807814457e-17 0) into (- 1.3877787807814457e-17) 3.919 * [backup-simplify]: Simplify (- 1.3877787807814457e-17) into (- 1.3877787807814457e-17) 3.919 * [backup-simplify]: Simplify (+ (* (- 1.3877787807814457e-17) (pow (/ 1 N) 3)) (+ (* 1.0 (/ 1 N)) 1)) into (- (+ 1 (* 1.0 (/ 1 N))) (* 1.3877787807814457e-17 (/ 1 (pow N 3)))) 3.919 * [backup-simplify]: Simplify (expm1 (log1p (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (expm1 (log1p (* -1 (* N (- 1.0 (/ 1 N)))))) 3.919 * [approximate]: Taking taylor expansion of (expm1 (log1p (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 3.919 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.919 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (* N (- 1.0 (/ 1 N)))))) 1) 3.919 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.919 * [taylor]: Taking taylor expansion of (log1p (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.919 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (* N (- 1.0 (/ 1 N)))))) 3.919 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.919 * [taylor]: Taking taylor expansion of 1 in N 3.920 * [backup-simplify]: Simplify 1 into 1 3.920 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.920 * [taylor]: Taking taylor expansion of -1 in N 3.920 * [backup-simplify]: Simplify -1 into -1 3.920 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.920 * [taylor]: Taking taylor expansion of N in N 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify 1 into 1 3.920 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.920 * [taylor]: Taking taylor expansion of 1.0 in N 3.920 * [backup-simplify]: Simplify 1.0 into 1.0 3.920 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.920 * [taylor]: Taking taylor expansion of N in N 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify 1 into 1 3.922 * [backup-simplify]: Simplify (/ 1 1) into 1 3.923 * [backup-simplify]: Simplify (- 1) into -1 3.923 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.923 * [backup-simplify]: Simplify (* 0 -1) into 0 3.923 * [backup-simplify]: Simplify (* -1 0) into 0 3.924 * [backup-simplify]: Simplify (+ 0 0) into 0 3.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.924 * [backup-simplify]: Simplify (- 0) into 0 3.925 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.925 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.925 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.926 * [backup-simplify]: Simplify (+ 1 1) into 2 3.926 * [backup-simplify]: Simplify (log 2) into (log 2) 3.927 * [backup-simplify]: Simplify (exp (log 2)) into 2 3.927 * [taylor]: Taking taylor expansion of 1 in N 3.927 * [backup-simplify]: Simplify 1 into 1 3.927 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.927 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (* N (- 1.0 (/ 1 N)))))) 1) 3.927 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.927 * [taylor]: Taking taylor expansion of (log1p (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.927 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (* N (- 1.0 (/ 1 N)))))) 3.927 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.927 * [taylor]: Taking taylor expansion of 1 in N 3.927 * [backup-simplify]: Simplify 1 into 1 3.927 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.927 * [taylor]: Taking taylor expansion of -1 in N 3.927 * [backup-simplify]: Simplify -1 into -1 3.927 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.927 * [taylor]: Taking taylor expansion of N in N 3.927 * [backup-simplify]: Simplify 0 into 0 3.927 * [backup-simplify]: Simplify 1 into 1 3.927 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.927 * [taylor]: Taking taylor expansion of 1.0 in N 3.927 * [backup-simplify]: Simplify 1.0 into 1.0 3.927 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.927 * [taylor]: Taking taylor expansion of N in N 3.927 * [backup-simplify]: Simplify 0 into 0 3.927 * [backup-simplify]: Simplify 1 into 1 3.927 * [backup-simplify]: Simplify (/ 1 1) into 1 3.928 * [backup-simplify]: Simplify (- 1) into -1 3.928 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.928 * [backup-simplify]: Simplify (* 0 -1) into 0 3.928 * [backup-simplify]: Simplify (* -1 0) into 0 3.929 * [backup-simplify]: Simplify (+ 0 0) into 0 3.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.929 * [backup-simplify]: Simplify (- 0) into 0 3.929 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.930 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.931 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.931 * [backup-simplify]: Simplify (+ 1 1) into 2 3.931 * [backup-simplify]: Simplify (log 2) into (log 2) 3.932 * [backup-simplify]: Simplify (exp (log 2)) into 2 3.932 * [taylor]: Taking taylor expansion of 1 in N 3.932 * [backup-simplify]: Simplify 1 into 1 3.933 * [backup-simplify]: Simplify (- 1) into -1 3.933 * [backup-simplify]: Simplify (+ 2 -1) into 1 3.933 * [backup-simplify]: Simplify 1 into 1 3.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.935 * [backup-simplify]: Simplify (- 0) into 0 3.935 * [backup-simplify]: Simplify (+ 0 0) into 0 3.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.940 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.941 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.949 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 2 1)))) 1) into -0.5 3.953 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow -0.5 1) 1)))) into -1.0 3.953 * [backup-simplify]: Simplify (- 0) into 0 3.954 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 3.954 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.956 * [backup-simplify]: Simplify (- 0) into 0 3.956 * [backup-simplify]: Simplify (+ 0 0) into 0 3.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.959 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.959 * [backup-simplify]: Simplify (+ 0 0) into 0 3.968 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into -0.125 3.972 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow -0.5 2) 2)) (* (/ (pow -0.125 1) 1)))) into 0 3.972 * [backup-simplify]: Simplify (- 0) into 0 3.972 * [backup-simplify]: Simplify (+ 0 0) into 0 3.972 * [backup-simplify]: Simplify 0 into 0 3.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.973 * [backup-simplify]: Simplify (- 0) into 0 3.974 * [backup-simplify]: Simplify (+ 0 0) into 0 3.974 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.975 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.975 * [backup-simplify]: Simplify (+ 0 0) into 0 3.987 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into -0.041666666666666664 3.998 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow -0.5 3) 6)) (* (/ (pow -0.5 1) 1) (/ (pow -0.125 1) 1)) (* (/ (pow -0.041666666666666664 1) 1)))) into 1.3877787807814457e-17 3.999 * [backup-simplify]: Simplify (- 0) into 0 3.999 * [backup-simplify]: Simplify (+ 1.3877787807814457e-17 0) into 1.3877787807814457e-17 3.999 * [backup-simplify]: Simplify 1.3877787807814457e-17 into 1.3877787807814457e-17 4.000 * [backup-simplify]: Simplify (+ (* 1.3877787807814457e-17 (pow (/ 1 (- N)) 3)) (+ (* (- 1.0) (/ 1 (- N))) 1)) into (- (+ 1 (* 1.0 (/ 1 N))) (* 1.3877787807814457e-17 (/ 1 (pow N 3)))) 4.000 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.000 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 4.000 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 4.000 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.000 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.001 * [taylor]: Taking taylor expansion of N in N 4.001 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify 1 into 1 4.001 * [taylor]: Taking taylor expansion of 1.0 in N 4.001 * [backup-simplify]: Simplify 1.0 into 1.0 4.001 * [taylor]: Taking taylor expansion of N in N 4.001 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify 1 into 1 4.001 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.002 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.002 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.002 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.002 * [taylor]: Taking taylor expansion of N in N 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 1 into 1 4.002 * [taylor]: Taking taylor expansion of 1.0 in N 4.002 * [backup-simplify]: Simplify 1.0 into 1.0 4.002 * [taylor]: Taking taylor expansion of N in N 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 1 into 1 4.002 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.003 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.003 * [backup-simplify]: Simplify 1.0 into 1.0 4.003 * [backup-simplify]: Simplify (+ 1 0) into 1 4.004 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 4.004 * [backup-simplify]: Simplify 1 into 1 4.005 * [backup-simplify]: Simplify (+ 0 0) into 0 4.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify (+ 0 0) into 0 4.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify (+ 0 0) into 0 4.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify (+ 0 0) into 0 4.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.010 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify (+ 0 0) into 0 4.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify (+ 0 0) into 0 4.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.013 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 4.014 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 4.014 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 4.014 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.014 * [taylor]: Taking taylor expansion of N in N 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.014 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.014 * [taylor]: Taking taylor expansion of N in N 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [backup-simplify]: Simplify (/ 1 1) into 1 4.014 * [taylor]: Taking taylor expansion of 1.0 in N 4.014 * [backup-simplify]: Simplify 1.0 into 1.0 4.014 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.014 * [taylor]: Taking taylor expansion of N in N 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 1 into 1 4.015 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.015 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.015 * [taylor]: Taking taylor expansion of N in N 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 1 into 1 4.015 * [backup-simplify]: Simplify (/ 1 1) into 1 4.015 * [taylor]: Taking taylor expansion of 1.0 in N 4.015 * [backup-simplify]: Simplify 1.0 into 1.0 4.016 * [backup-simplify]: Simplify (+ 1 0) into 1 4.016 * [backup-simplify]: Simplify (* 0 1) into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.017 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.018 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.018 * [backup-simplify]: Simplify 1 into 1 4.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.019 * [backup-simplify]: Simplify (+ 0 0) into 0 4.022 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 4.022 * [backup-simplify]: Simplify 1.0 into 1.0 4.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.023 * [backup-simplify]: Simplify (+ 0 0) into 0 4.025 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.026 * [backup-simplify]: Simplify (+ 0 0) into 0 4.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 4.027 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.029 * [backup-simplify]: Simplify (+ 0 0) into 0 4.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 4.030 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.031 * [backup-simplify]: Simplify (+ 0 0) into 0 4.033 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 4.033 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.034 * [backup-simplify]: Simplify (+ 0 0) into 0 4.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.038 * [backup-simplify]: Simplify (+ 0 0) into 0 4.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 4.040 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 4.040 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 4.040 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.040 * [taylor]: Taking taylor expansion of -1 in N 4.040 * [backup-simplify]: Simplify -1 into -1 4.041 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.041 * [taylor]: Taking taylor expansion of N in N 4.041 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify 1 into 1 4.041 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.041 * [taylor]: Taking taylor expansion of 1.0 in N 4.041 * [backup-simplify]: Simplify 1.0 into 1.0 4.041 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.041 * [taylor]: Taking taylor expansion of N in N 4.041 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify 1 into 1 4.044 * [backup-simplify]: Simplify (/ 1 1) into 1 4.044 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.044 * [taylor]: Taking taylor expansion of -1 in N 4.044 * [backup-simplify]: Simplify -1 into -1 4.044 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.044 * [taylor]: Taking taylor expansion of N in N 4.044 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify 1 into 1 4.044 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.045 * [taylor]: Taking taylor expansion of 1.0 in N 4.045 * [backup-simplify]: Simplify 1.0 into 1.0 4.045 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.045 * [taylor]: Taking taylor expansion of N in N 4.045 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify 1 into 1 4.045 * [backup-simplify]: Simplify (/ 1 1) into 1 4.046 * [backup-simplify]: Simplify (- 1) into -1 4.046 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.046 * [backup-simplify]: Simplify (* 0 -1) into 0 4.047 * [backup-simplify]: Simplify (* -1 0) into 0 4.047 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.048 * [backup-simplify]: Simplify (- 0) into 0 4.048 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.049 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.050 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.050 * [backup-simplify]: Simplify 1 into 1 4.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.051 * [backup-simplify]: Simplify (- 0) into 0 4.051 * [backup-simplify]: Simplify (+ 0 0) into 0 4.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 4.056 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 4.056 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.058 * [backup-simplify]: Simplify (- 0) into 0 4.058 * [backup-simplify]: Simplify (+ 0 0) into 0 4.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 4.061 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 4.061 * [backup-simplify]: Simplify 0 into 0 4.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.062 * [backup-simplify]: Simplify (- 0) into 0 4.062 * [backup-simplify]: Simplify (+ 0 0) into 0 4.064 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 4.065 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 4.065 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.066 * [backup-simplify]: Simplify (- 0) into 0 4.067 * [backup-simplify]: Simplify (+ 0 0) into 0 4.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 4.070 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 4.070 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.072 * [backup-simplify]: Simplify (- 0) into 0 4.072 * [backup-simplify]: Simplify (+ 0 0) into 0 4.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 4.076 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 4.076 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.077 * [backup-simplify]: Simplify (- 0) into 0 4.078 * [backup-simplify]: Simplify (+ 0 0) into 0 4.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 4.082 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 4.082 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.083 * [backup-simplify]: Simplify (- 0) into 0 4.084 * [backup-simplify]: Simplify (+ 0 0) into 0 4.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 4.088 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 4.089 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 4.089 * [backup-simplify]: Simplify (log1p (/ (+ N 1.0) N)) into (log1p (/ (+ N 1.0) N)) 4.089 * [approximate]: Taking taylor expansion of (log1p (/ (+ N 1.0) N)) in (N) around 0 4.089 * [taylor]: Taking taylor expansion of (log1p (/ (+ N 1.0) N)) in N 4.089 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ N 1.0) N))) 4.089 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ N 1.0) N)) in N 4.089 * [taylor]: Taking taylor expansion of 1 in N 4.089 * [backup-simplify]: Simplify 1 into 1 4.089 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.089 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.089 * [taylor]: Taking taylor expansion of N in N 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 1 into 1 4.089 * [taylor]: Taking taylor expansion of 1.0 in N 4.089 * [backup-simplify]: Simplify 1.0 into 1.0 4.089 * [taylor]: Taking taylor expansion of N in N 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 1 into 1 4.090 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.090 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.090 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.091 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.091 * [taylor]: Taking taylor expansion of (log1p (/ (+ N 1.0) N)) in N 4.091 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ N 1.0) N))) 4.091 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ N 1.0) N)) in N 4.091 * [taylor]: Taking taylor expansion of 1 in N 4.091 * [backup-simplify]: Simplify 1 into 1 4.091 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.091 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.091 * [taylor]: Taking taylor expansion of N in N 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.091 * [taylor]: Taking taylor expansion of 1.0 in N 4.091 * [backup-simplify]: Simplify 1.0 into 1.0 4.091 * [taylor]: Taking taylor expansion of N in N 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.091 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.092 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.092 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.092 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.093 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 4.093 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 4.093 * [backup-simplify]: Simplify (+ 1 0) into 1 4.094 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 4.094 * [backup-simplify]: Simplify (+ 1 1) into 2 4.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1.0 1)))) 1) into 2.0 4.097 * [backup-simplify]: Simplify 2.0 into 2.0 4.098 * [backup-simplify]: Simplify (+ 0 0) into 0 4.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.099 * [backup-simplify]: Simplify (+ 0 0) into 0 4.104 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -2 (pow 1.0 2)) 4.105 * [backup-simplify]: Simplify (/ -2 (pow 1.0 2)) into (/ -2 (pow 1.0 2)) 4.106 * [backup-simplify]: Simplify (+ (* (/ -2 (pow 1.0 2)) (pow N 2)) (+ (* 2.0 N) (- (log 1.0) (log N)))) into (- (+ (* 2.0 N) (log 1.0)) (+ (* 2 (/ (pow N 2) (pow 1.0 2))) (log N))) 4.106 * [backup-simplify]: Simplify (log1p (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log1p (* N (+ (/ 1 N) 1.0))) 4.106 * [approximate]: Taking taylor expansion of (log1p (* N (+ (/ 1 N) 1.0))) in (N) around 0 4.106 * [taylor]: Taking taylor expansion of (log1p (* N (+ (/ 1 N) 1.0))) in N 4.106 * [taylor]: Rewrote expression to (log (+ 1 (* N (+ (/ 1 N) 1.0)))) 4.106 * [taylor]: Taking taylor expansion of (+ 1 (* N (+ (/ 1 N) 1.0))) in N 4.107 * [taylor]: Taking taylor expansion of 1 in N 4.107 * [backup-simplify]: Simplify 1 into 1 4.107 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.107 * [taylor]: Taking taylor expansion of N in N 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 1 into 1 4.107 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.107 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.107 * [taylor]: Taking taylor expansion of N in N 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 1 into 1 4.107 * [backup-simplify]: Simplify (/ 1 1) into 1 4.107 * [taylor]: Taking taylor expansion of 1.0 in N 4.107 * [backup-simplify]: Simplify 1.0 into 1.0 4.107 * [backup-simplify]: Simplify (+ 1 0) into 1 4.107 * [backup-simplify]: Simplify (* 0 1) into 0 4.108 * [backup-simplify]: Simplify (+ 0 0) into 0 4.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.108 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.109 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.109 * [backup-simplify]: Simplify (+ 1 1) into 2 4.109 * [backup-simplify]: Simplify (log 2) into (log 2) 4.109 * [taylor]: Taking taylor expansion of (log1p (* N (+ (/ 1 N) 1.0))) in N 4.109 * [taylor]: Rewrote expression to (log (+ 1 (* N (+ (/ 1 N) 1.0)))) 4.109 * [taylor]: Taking taylor expansion of (+ 1 (* N (+ (/ 1 N) 1.0))) in N 4.109 * [taylor]: Taking taylor expansion of 1 in N 4.109 * [backup-simplify]: Simplify 1 into 1 4.109 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) 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 (+ (/ 1 N) 1.0) in N 4.110 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 4.110 * [taylor]: Taking taylor expansion of 1.0 in N 4.110 * [backup-simplify]: Simplify 1.0 into 1.0 4.110 * [backup-simplify]: Simplify (+ 1 0) into 1 4.110 * [backup-simplify]: Simplify (* 0 1) into 0 4.111 * [backup-simplify]: Simplify (+ 0 0) into 0 4.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.111 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.112 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.112 * [backup-simplify]: Simplify (+ 1 1) into 2 4.112 * [backup-simplify]: Simplify (log 2) into (log 2) 4.113 * [backup-simplify]: Simplify (log 2) into (log 2) 4.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.113 * [backup-simplify]: Simplify (+ 0 0) into 0 4.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 4.115 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.119 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 2 1)))) 1) into 0.5 4.119 * [backup-simplify]: Simplify 0.5 into 0.5 4.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.120 * [backup-simplify]: Simplify (+ 0 0) into 0 4.120 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 4.121 * [backup-simplify]: Simplify (+ 0 0) into 0 4.127 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into -0.125 4.127 * [backup-simplify]: Simplify -0.125 into -0.125 4.127 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) (log 2))) into (- (+ (* 0.5 (/ 1 N)) (log 2)) (* 0.125 (/ 1 (pow N 2)))) 4.127 * [backup-simplify]: Simplify (log1p (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log1p (* -1 (* N (- 1.0 (/ 1 N))))) 4.127 * [approximate]: Taking taylor expansion of (log1p (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 4.127 * [taylor]: Taking taylor expansion of (log1p (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.127 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (* N (- 1.0 (/ 1 N)))))) 4.127 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.127 * [taylor]: Taking taylor expansion of 1 in N 4.127 * [backup-simplify]: Simplify 1 into 1 4.128 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.128 * [taylor]: Taking taylor expansion of -1 in N 4.128 * [backup-simplify]: Simplify -1 into -1 4.128 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.128 * [taylor]: Taking taylor expansion of N in N 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify 1 into 1 4.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.128 * [taylor]: Taking taylor expansion of 1.0 in N 4.128 * [backup-simplify]: Simplify 1.0 into 1.0 4.128 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.128 * [taylor]: Taking taylor expansion of N in N 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify 1 into 1 4.128 * [backup-simplify]: Simplify (/ 1 1) into 1 4.128 * [backup-simplify]: Simplify (- 1) into -1 4.128 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.129 * [backup-simplify]: Simplify (* 0 -1) into 0 4.129 * [backup-simplify]: Simplify (* -1 0) into 0 4.129 * [backup-simplify]: Simplify (+ 0 0) into 0 4.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.130 * [backup-simplify]: Simplify (- 0) into 0 4.130 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.131 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.131 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.131 * [backup-simplify]: Simplify (+ 1 1) into 2 4.132 * [backup-simplify]: Simplify (log 2) into (log 2) 4.132 * [taylor]: Taking taylor expansion of (log1p (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.132 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (* N (- 1.0 (/ 1 N)))))) 4.132 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.132 * [taylor]: Taking taylor expansion of 1 in N 4.132 * [backup-simplify]: Simplify 1 into 1 4.132 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.132 * [taylor]: Taking taylor expansion of -1 in N 4.132 * [backup-simplify]: Simplify -1 into -1 4.132 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.132 * [taylor]: Taking taylor expansion of N in N 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 1 into 1 4.132 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.132 * [taylor]: Taking taylor expansion of 1.0 in N 4.132 * [backup-simplify]: Simplify 1.0 into 1.0 4.132 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.132 * [taylor]: Taking taylor expansion of N in N 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 1 into 1 4.132 * [backup-simplify]: Simplify (/ 1 1) into 1 4.132 * [backup-simplify]: Simplify (- 1) into -1 4.133 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.133 * [backup-simplify]: Simplify (* 0 -1) into 0 4.133 * [backup-simplify]: Simplify (* -1 0) into 0 4.133 * [backup-simplify]: Simplify (+ 0 0) into 0 4.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.134 * [backup-simplify]: Simplify (- 0) into 0 4.134 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.135 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.135 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.135 * [backup-simplify]: Simplify (+ 1 1) into 2 4.136 * [backup-simplify]: Simplify (log 2) into (log 2) 4.136 * [backup-simplify]: Simplify (log 2) into (log 2) 4.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.137 * [backup-simplify]: Simplify (- 0) into 0 4.137 * [backup-simplify]: Simplify (+ 0 0) into 0 4.139 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 4.141 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 4.142 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 2 1)))) 1) into -0.5 4.150 * [backup-simplify]: Simplify -0.5 into -0.5 4.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.151 * [backup-simplify]: Simplify (- 0) into 0 4.155 * [backup-simplify]: Simplify (+ 0 0) into 0 4.157 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 4.158 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 4.158 * [backup-simplify]: Simplify (+ 0 0) into 0 4.169 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into -0.125 4.169 * [backup-simplify]: Simplify -0.125 into -0.125 4.169 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- N)) 2)) (+ (* -0.5 (/ 1 (- N))) (log 2))) into (- (+ (* 0.5 (/ 1 N)) (log 2)) (* 0.125 (/ 1 (pow N 2)))) 4.169 * * * [progress]: simplifying candidates 4.171 * [simplify]: Simplifying: (expm1 (log (expm1 (log1p (/ (+ N 1.0) N))))) (log1p (log (expm1 (log1p (/ (+ N 1.0) N))))) (log (* (cbrt (expm1 (log1p (/ (+ N 1.0) N)))) (cbrt (expm1 (log1p (/ (+ N 1.0) N)))))) (log (cbrt (expm1 (log1p (/ (+ N 1.0) N))))) (log (sqrt (expm1 (log1p (/ (+ N 1.0) N))))) (log (sqrt (expm1 (log1p (/ (+ N 1.0) N))))) (log 1) (log (expm1 (log1p (/ (+ N 1.0) N)))) (log (expm1 (log1p (/ (+ N 1.0) N)))) (log (log (expm1 (log1p (/ (+ N 1.0) N))))) (exp (log (expm1 (log1p (/ (+ N 1.0) N))))) (* (cbrt (log (expm1 (log1p (/ (+ N 1.0) N))))) (cbrt (log (expm1 (log1p (/ (+ N 1.0) N)))))) (cbrt (log (expm1 (log1p (/ (+ N 1.0) N))))) (* (* (log (expm1 (log1p (/ (+ N 1.0) N)))) (log (expm1 (log1p (/ (+ N 1.0) N))))) (log (expm1 (log1p (/ (+ N 1.0) N))))) (sqrt (log (expm1 (log1p (/ (+ N 1.0) N))))) (sqrt (log (expm1 (log1p (/ (+ N 1.0) N))))) (exp (log1p (/ (+ N 1.0) N))) (expm1 (expm1 (log1p (/ (+ N 1.0) N)))) (log1p (expm1 (log1p (/ (+ N 1.0) N)))) (log (expm1 (log1p (/ (+ N 1.0) N)))) (exp (expm1 (log1p (/ (+ N 1.0) N)))) (* (cbrt (expm1 (log1p (/ (+ N 1.0) N)))) (cbrt (expm1 (log1p (/ (+ N 1.0) N))))) (cbrt (expm1 (log1p (/ (+ N 1.0) N)))) (* (* (expm1 (log1p (/ (+ N 1.0) N))) (expm1 (log1p (/ (+ N 1.0) N)))) (expm1 (log1p (/ (+ N 1.0) N)))) (sqrt (expm1 (log1p (/ (+ N 1.0) N)))) (sqrt (expm1 (log1p (/ (+ N 1.0) N)))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (+ 1 (/ (+ N 1.0) N)) (expm1 (log1p (/ (+ N 1.0) N))) (log1p (log1p (/ (+ N 1.0) N))) (log (log1p (/ (+ N 1.0) N))) (exp (log1p (/ (+ N 1.0) N))) (* (cbrt (log1p (/ (+ N 1.0) N))) (cbrt (log1p (/ (+ N 1.0) N)))) (cbrt (log1p (/ (+ N 1.0) N))) (* (* (log1p (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N))) (log1p (/ (+ N 1.0) N))) (sqrt (log1p (/ (+ N 1.0) N))) (sqrt (log1p (/ (+ N 1.0) N))) (- (+ (* 2.0 (/ (* (pow N 2) (exp (- (log 1.0) (log N)))) (- (exp (- (log 1.0) (log N))) 1))) (+ (* 2.0 (/ (* N (exp (- (log 1.0) (log N)))) (- (exp (- (log 1.0) (log N))) 1))) (log (- (exp (- (log 1.0) (log N))) 1)))) (+ (* 2.0 (/ (* (pow N 2) (pow (exp (- (log 1.0) (log N))) 2)) (pow (- (exp (- (log 1.0) (log N))) 1) 2))) (* 2 (/ (* (pow N 2) (exp (- (log 1.0) (log N)))) (* (- (exp (- (log 1.0) (log N))) 1) (pow 1.0 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)))) (- (+ (* 2.0 (* N (exp (- (log 1.0) (log N))))) (+ (* 2.0 (* (pow N 2) (exp (- (log 1.0) (log N))))) (exp (- (log 1.0) (log N))))) (+ 1 (* 2 (/ (* (pow N 2) (exp (- (log 1.0) (log N)))) (pow 1.0 2))))) (- (+ 1 (* 1.0 (/ 1 N))) (* 1.3877787807814457e-17 (/ 1 (pow N 3)))) (- (+ 1 (* 1.0 (/ 1 N))) (* 1.3877787807814457e-17 (/ 1 (pow N 3)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (- (+ (* 2.0 N) (log 1.0)) (+ (* 2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.5 (/ 1 N)) (log 2)) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) (log 2)) (* 0.125 (/ 1 (pow N 2)))) 4.172 * * [simplify]: Extracting # 0 : cost 0 4.172 * * [simplify]: Extracting # 1 : cost 0 4.172 * * [simplify]: Extracting # 2 : cost 0 4.173 * * [simplify]: Extracting # 3 : cost 0 4.173 * * [simplify]: Extracting # 4 : cost 0 4.173 * * [simplify]: Extracting # 5 : cost 0 4.173 * * [simplify]: Extracting # 6 : cost 0 4.173 * * [simplify]: Extracting # 7 : cost 0 4.173 * * [simplify]: Extracting # 8 : cost 0 4.174 * * [simplify]: Extracting # 9 : cost 0 4.174 * * [simplify]: Extracting # 10 : cost 0 4.174 * * [simplify]: iteration 0 : 154 enodes (cost 994 ) 4.210 * * [simplify]: Extracting # 0 : cost 0 4.210 * * [simplify]: Extracting # 1 : cost 0 4.211 * * [simplify]: Extracting # 2 : cost 0 4.211 * * [simplify]: Extracting # 3 : cost 0 4.212 * * [simplify]: Extracting # 4 : cost 0 4.212 * * [simplify]: iteration 1 : 370 enodes (cost 885 ) 4.416 * * [simplify]: Extracting # 0 : cost 0 4.418 * * [simplify]: Extracting # 1 : cost 0 4.420 * * [simplify]: Extracting # 2 : cost 0 4.422 * * [simplify]: Extracting # 3 : cost 0 4.424 * * [simplify]: Extracting # 4 : cost 0 4.425 * * [simplify]: Extracting # 5 : cost 0 4.427 * * [simplify]: iteration 2 : 1600 enodes (cost 773 ) 5.208 * * [simplify]: Extracting # 0 : cost 0 5.214 * * [simplify]: Extracting # 1 : cost 0 5.221 * * [simplify]: Extracting # 2 : cost 0 5.228 * * [simplify]: Extracting # 3 : cost 0 5.236 * * [simplify]: Extracting # 4 : cost 0 5.249 * * [simplify]: iteration done: 5002 enodes (cost 764 ) 5.250 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) 0 (log (/ (+ N 1.0) 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))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (exp (log1p (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (pow (+ N 1.0) 3) (pow N 3)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (fma N N (* 1.0 (- 1.0 N)))) (* N (- N 1.0)) (+ 1 (/ (+ N 1.0) N)) (/ (+ N 1.0) N) (log1p (log1p (/ (+ N 1.0) N))) (log (log1p (/ (+ N 1.0) N))) (exp (log1p (/ (+ N 1.0) N))) (* (cbrt (log1p (/ (+ N 1.0) N))) (cbrt (log1p (/ (+ N 1.0) N)))) (cbrt (log1p (/ (+ N 1.0) N))) (pow (log1p (/ (+ N 1.0) N)) 3) (sqrt (log1p (/ (+ N 1.0) N))) (sqrt (log1p (/ (+ N 1.0) N))) (fma 2.0 (+ (/ N (/ (- 1 (/ 1 (/ 1.0 N))) N)) (/ N (- 1 (/ 1 (/ 1.0 N))))) (- (log (+ (/ 1.0 N) -1)) (fma (/ 2 (* 1.0 1.0)) (/ N (/ (- 1 (/ 1 (/ 1.0 N))) N)) (* (* (/ (* N N) (pow (+ (/ 1.0 N) -1) 2)) (pow (/ 1.0 N) 2)) 2.0)))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (fma (/ 1.0 N) (fma 2.0 N (* 2.0 (* N N))) (- (/ 1.0 N) (fma (/ (* (* N N) (/ 1.0 N)) (* 1.0 1.0)) 2 1))) (- (+ (/ 1.0 N) 1) (/ 1.3877787807814457e-17 (pow N 3))) (- (+ (/ 1.0 N) 1) (/ 1.3877787807814457e-17 (pow N 3))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (- (fma 2.0 N (log 1.0)) (fma 2 (/ (pow N 2) (pow 1.0 2)) (log N))) (- (+ (log 2) (/ 0.5 N)) (/ 0.125 (* N N))) (- (+ (log 2) (/ 0.5 N)) (/ 0.125 (* N N))) 5.250 * * * [progress]: adding candidates to table 5.584 * * [progress]: iteration 4 / 4 5.584 * * * [progress]: picking best candidate 5.589 * * * * [pick]: Picked # 5.589 * * * [progress]: localizing error 5.617 * * * [progress]: generating rewritten candidates 5.617 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 6.171 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 6.182 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 6.197 * * * [progress]: generating series expansions 6.197 * * * * [progress]: [ 1 / 3 ] generating series at (2) 6.198 * [backup-simplify]: Simplify (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 6.198 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 6.198 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 6.198 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 6.198 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 6.198 * [taylor]: Taking taylor expansion of 1.0 in N 6.198 * [backup-simplify]: Simplify 1.0 into 1.0 6.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.198 * [taylor]: Taking taylor expansion of N in N 6.198 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify 1 into 1 6.198 * [backup-simplify]: Simplify (/ 1 1) into 1 6.198 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 6.198 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.198 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.198 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.198 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.198 * [taylor]: Taking taylor expansion of N in N 6.198 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify 1 into 1 6.199 * [backup-simplify]: Simplify (* 1 1) into 1 6.199 * [backup-simplify]: Simplify (* 1 1) into 1 6.200 * [backup-simplify]: Simplify (/ 1 1) into 1 6.200 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 6.200 * [taylor]: Taking taylor expansion of 0.5 in N 6.200 * [backup-simplify]: Simplify 0.5 into 0.5 6.200 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.200 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.200 * [taylor]: Taking taylor expansion of N in N 6.200 * [backup-simplify]: Simplify 0 into 0 6.200 * [backup-simplify]: Simplify 1 into 1 6.200 * [backup-simplify]: Simplify (* 1 1) into 1 6.200 * [backup-simplify]: Simplify (/ 1 1) into 1 6.200 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 6.200 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 6.201 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 6.201 * [taylor]: Taking taylor expansion of 1.0 in N 6.201 * [backup-simplify]: Simplify 1.0 into 1.0 6.201 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.201 * [taylor]: Taking taylor expansion of N in N 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 1 into 1 6.201 * [backup-simplify]: Simplify (/ 1 1) into 1 6.201 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 6.201 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.201 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.201 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.201 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.201 * [taylor]: Taking taylor expansion of N in N 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 1 into 1 6.201 * [backup-simplify]: Simplify (* 1 1) into 1 6.202 * [backup-simplify]: Simplify (* 1 1) into 1 6.202 * [backup-simplify]: Simplify (/ 1 1) into 1 6.202 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 6.202 * [taylor]: Taking taylor expansion of 0.5 in N 6.202 * [backup-simplify]: Simplify 0.5 into 0.5 6.202 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.202 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.202 * [taylor]: Taking taylor expansion of N in N 6.202 * [backup-simplify]: Simplify 0 into 0 6.202 * [backup-simplify]: Simplify 1 into 1 6.202 * [backup-simplify]: Simplify (* 1 1) into 1 6.202 * [backup-simplify]: Simplify (/ 1 1) into 1 6.203 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.203 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 6.203 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.204 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.205 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 6.205 * [backup-simplify]: Simplify (+ 0 0) into 0 6.206 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.206 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.206 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.207 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.207 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 6.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.209 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.209 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.210 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.211 * [backup-simplify]: Simplify (- 0) into 0 6.211 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.211 * [backup-simplify]: Simplify 1.0 into 1.0 6.212 * [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)))) 6.212 * [backup-simplify]: Simplify (- (+ (/ 1.0 (/ 1 N)) (/ 0.3333333333333333 (pow (/ 1 N) 3))) (/ 0.5 (* (/ 1 N) (/ 1 N)))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 6.212 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 6.212 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 6.212 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 6.212 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.212 * [taylor]: Taking taylor expansion of 1.0 in N 6.212 * [backup-simplify]: Simplify 1.0 into 1.0 6.212 * [taylor]: Taking taylor expansion of N in N 6.212 * [backup-simplify]: Simplify 0 into 0 6.212 * [backup-simplify]: Simplify 1 into 1 6.212 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.212 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.212 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.212 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.212 * [taylor]: Taking taylor expansion of N in N 6.212 * [backup-simplify]: Simplify 0 into 0 6.212 * [backup-simplify]: Simplify 1 into 1 6.212 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.212 * [taylor]: Taking taylor expansion of 0.5 in N 6.212 * [backup-simplify]: Simplify 0.5 into 0.5 6.212 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.212 * [taylor]: Taking taylor expansion of N in N 6.212 * [backup-simplify]: Simplify 0 into 0 6.212 * [backup-simplify]: Simplify 1 into 1 6.212 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 6.212 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 6.212 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.212 * [taylor]: Taking taylor expansion of 1.0 in N 6.212 * [backup-simplify]: Simplify 1.0 into 1.0 6.212 * [taylor]: Taking taylor expansion of N in N 6.212 * [backup-simplify]: Simplify 0 into 0 6.212 * [backup-simplify]: Simplify 1 into 1 6.212 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.212 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.212 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.212 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.213 * [taylor]: Taking taylor expansion of N in N 6.213 * [backup-simplify]: Simplify 0 into 0 6.213 * [backup-simplify]: Simplify 1 into 1 6.213 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.213 * [taylor]: Taking taylor expansion of 0.5 in N 6.213 * [backup-simplify]: Simplify 0.5 into 0.5 6.213 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.213 * [taylor]: Taking taylor expansion of N in N 6.213 * [backup-simplify]: Simplify 0 into 0 6.213 * [backup-simplify]: Simplify 1 into 1 6.213 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.213 * [backup-simplify]: Simplify (+ 0 0) into 0 6.213 * [backup-simplify]: Simplify (+ 0 0) into 0 6.213 * [backup-simplify]: Simplify 0 into 0 6.215 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 6.215 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.215 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.215 * [backup-simplify]: Simplify 1.0 into 1.0 6.216 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 6.217 * [backup-simplify]: Simplify (+ 0 0) into 0 6.217 * [backup-simplify]: Simplify (* 1 1) into 1 6.218 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.218 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.219 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.219 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.220 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.221 * [backup-simplify]: Simplify (* 1 1) into 1 6.221 * [backup-simplify]: Simplify (* 1 1) into 1 6.222 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.222 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 6.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.223 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.224 * [backup-simplify]: Simplify (- 0) into 0 6.224 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.224 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.225 * [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)))) 6.226 * [backup-simplify]: Simplify (- (+ (/ 1.0 (/ 1 (- N))) (/ 0.3333333333333333 (pow (/ 1 (- N)) 3))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 6.226 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 6.226 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 6.226 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 6.226 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.226 * [taylor]: Taking taylor expansion of 0.5 in N 6.226 * [backup-simplify]: Simplify 0.5 into 0.5 6.226 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.226 * [taylor]: Taking taylor expansion of N in N 6.226 * [backup-simplify]: Simplify 0 into 0 6.226 * [backup-simplify]: Simplify 1 into 1 6.226 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 6.226 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.226 * [taylor]: Taking taylor expansion of 1.0 in N 6.226 * [backup-simplify]: Simplify 1.0 into 1.0 6.226 * [taylor]: Taking taylor expansion of N in N 6.226 * [backup-simplify]: Simplify 0 into 0 6.226 * [backup-simplify]: Simplify 1 into 1 6.226 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.226 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.226 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.226 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.226 * [taylor]: Taking taylor expansion of N in N 6.226 * [backup-simplify]: Simplify 0 into 0 6.226 * [backup-simplify]: Simplify 1 into 1 6.226 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 6.227 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 6.227 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.227 * [taylor]: Taking taylor expansion of 0.5 in N 6.227 * [backup-simplify]: Simplify 0.5 into 0.5 6.227 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.227 * [taylor]: Taking taylor expansion of N in N 6.227 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify 1 into 1 6.227 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 6.227 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.227 * [taylor]: Taking taylor expansion of 1.0 in N 6.227 * [backup-simplify]: Simplify 1.0 into 1.0 6.227 * [taylor]: Taking taylor expansion of N in N 6.227 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify 1 into 1 6.227 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.227 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.227 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.227 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.227 * [taylor]: Taking taylor expansion of N in N 6.227 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify 1 into 1 6.228 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.228 * [backup-simplify]: Simplify (+ 0 0) into 0 6.229 * [backup-simplify]: Simplify (+ 0 0) into 0 6.229 * [backup-simplify]: Simplify (- 0) into 0 6.229 * [backup-simplify]: Simplify 0 into 0 6.230 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 6.231 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.231 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.232 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.232 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.233 * [backup-simplify]: Simplify (* 1 1) into 1 6.233 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.234 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 6.234 * [backup-simplify]: Simplify (+ 0 0) into 0 6.234 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 6.235 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.235 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.236 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.236 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.237 * [backup-simplify]: Simplify (* 1 1) into 1 6.237 * [backup-simplify]: Simplify (* 1 1) into 1 6.237 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.237 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 6.238 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 6.238 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 6.238 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 6.239 * [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)))) 6.239 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 6.239 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 6.239 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 6.239 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 6.239 * [taylor]: Taking taylor expansion of 0.5 in N 6.239 * [backup-simplify]: Simplify 0.5 into 0.5 6.239 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.239 * [taylor]: Taking taylor expansion of N in N 6.239 * [backup-simplify]: Simplify 0 into 0 6.239 * [backup-simplify]: Simplify 1 into 1 6.240 * [backup-simplify]: Simplify (* 1 1) into 1 6.240 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 6.240 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 6.240 * [taylor]: Taking taylor expansion of 0.5 in N 6.240 * [backup-simplify]: Simplify 0.5 into 0.5 6.240 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.240 * [taylor]: Taking taylor expansion of N in N 6.240 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify 1 into 1 6.240 * [backup-simplify]: Simplify (* 1 1) into 1 6.241 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 6.241 * [backup-simplify]: Simplify 0.5 into 0.5 6.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 6.242 * [backup-simplify]: Simplify 0 into 0 6.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.243 * [backup-simplify]: Simplify 0 into 0 6.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.244 * [backup-simplify]: Simplify 0 into 0 6.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.245 * [backup-simplify]: Simplify 0 into 0 6.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.246 * [backup-simplify]: Simplify 0 into 0 6.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.248 * [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 6.248 * [backup-simplify]: Simplify 0 into 0 6.248 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 6.248 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 6.248 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 6.248 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.248 * [taylor]: Taking taylor expansion of 0.5 in N 6.248 * [backup-simplify]: Simplify 0.5 into 0.5 6.248 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.248 * [taylor]: Taking taylor expansion of N in N 6.248 * [backup-simplify]: Simplify 0 into 0 6.248 * [backup-simplify]: Simplify 1 into 1 6.248 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.248 * [taylor]: Taking taylor expansion of 0.5 in N 6.248 * [backup-simplify]: Simplify 0.5 into 0.5 6.248 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.248 * [taylor]: Taking taylor expansion of N in N 6.248 * [backup-simplify]: Simplify 0 into 0 6.248 * [backup-simplify]: Simplify 1 into 1 6.248 * [backup-simplify]: Simplify (* 1 1) into 1 6.249 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.249 * [backup-simplify]: Simplify 0.5 into 0.5 6.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.250 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.251 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.252 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.253 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.253 * [backup-simplify]: Simplify 0 into 0 6.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.255 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.255 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.256 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.256 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 6.257 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 6.257 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 6.257 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.257 * [taylor]: Taking taylor expansion of 0.5 in N 6.257 * [backup-simplify]: Simplify 0.5 into 0.5 6.257 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.257 * [taylor]: Taking taylor expansion of N in N 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 1 into 1 6.257 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.257 * [taylor]: Taking taylor expansion of 0.5 in N 6.257 * [backup-simplify]: Simplify 0.5 into 0.5 6.257 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.257 * [taylor]: Taking taylor expansion of N in N 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 1 into 1 6.257 * [backup-simplify]: Simplify (* 1 1) into 1 6.258 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.258 * [backup-simplify]: Simplify 0.5 into 0.5 6.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.258 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.258 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.259 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.261 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.261 * [backup-simplify]: Simplify 0 into 0 6.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.262 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.262 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.263 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.264 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.268 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 6.269 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 6.269 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 6.269 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 6.269 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 6.269 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.269 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.269 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.269 * [taylor]: Taking taylor expansion of N in N 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify 1 into 1 6.270 * [backup-simplify]: Simplify (* 1 1) into 1 6.270 * [backup-simplify]: Simplify (* 1 1) into 1 6.270 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 6.270 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 6.270 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.270 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.270 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.270 * [taylor]: Taking taylor expansion of N in N 6.270 * [backup-simplify]: Simplify 0 into 0 6.270 * [backup-simplify]: Simplify 1 into 1 6.270 * [backup-simplify]: Simplify (* 1 1) into 1 6.271 * [backup-simplify]: Simplify (* 1 1) into 1 6.271 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 6.271 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 6.272 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.274 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.277 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.280 * [backup-simplify]: Simplify 0 into 0 6.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.284 * [backup-simplify]: Simplify 0 into 0 6.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.288 * [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 6.288 * [backup-simplify]: Simplify 0 into 0 6.288 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.289 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 6.289 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 6.289 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.289 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.289 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.289 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.289 * [taylor]: Taking taylor expansion of N in N 6.289 * [backup-simplify]: Simplify 0 into 0 6.289 * [backup-simplify]: Simplify 1 into 1 6.289 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.289 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.289 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.289 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.289 * [taylor]: Taking taylor expansion of N in N 6.289 * [backup-simplify]: Simplify 0 into 0 6.289 * [backup-simplify]: Simplify 1 into 1 6.289 * [backup-simplify]: Simplify (* 1 1) into 1 6.290 * [backup-simplify]: Simplify (* 1 1) into 1 6.290 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.290 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.292 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 6.292 * [backup-simplify]: Simplify 0 into 0 6.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.295 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.295 * [backup-simplify]: Simplify 0 into 0 6.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.298 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.298 * [backup-simplify]: Simplify 0 into 0 6.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.300 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.300 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.302 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.302 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.305 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.306 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 6.306 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 6.306 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 6.306 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 6.306 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.306 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.306 * [taylor]: Taking taylor expansion of N in N 6.306 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify 1 into 1 6.306 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 6.306 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 6.306 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.306 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.306 * [taylor]: Taking taylor expansion of N in N 6.306 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify 1 into 1 6.306 * [backup-simplify]: Simplify (* 1 1) into 1 6.306 * [backup-simplify]: Simplify (* 1 1) into 1 6.307 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 6.307 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.308 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 6.308 * [backup-simplify]: Simplify 0 into 0 6.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.309 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.309 * [backup-simplify]: Simplify 0 into 0 6.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.311 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.311 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.313 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.313 * [backup-simplify]: Simplify 0 into 0 6.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.316 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.316 * [backup-simplify]: Simplify 0 into 0 6.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.318 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.318 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.319 * * * [progress]: simplifying candidates 6.322 * [simplify]: Simplifying: (fma (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))) (fma (- (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))) (fma (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))) (fma (- (sqrt (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))))) (fma (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))) (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))) (fma (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))) (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))) (fma (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ 0.5 N) (/ 1 N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))) (fma (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ 0.5 (* N N)) 1))) (fma (- (/ 0.5 (* N N))) 1 (* (/ 0.5 (* N N)) 1)) (fma (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ 1 (* N N)) 0.5))) (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5)) (fma (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))) (fma (- (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))) (fma (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))) (fma (- (sqrt (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))))) (fma (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))) (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))) (fma (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))) (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))) (fma (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ 0.5 N) (/ 1 N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))) (fma (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ 0.5 (* N N)) 1))) (fma (- (/ 0.5 (* N N))) 1 (* (/ 0.5 (* N N)) 1)) (fma (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ 1 (* N N)) 0.5))) (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5)) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))) (fma (- (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))) (fma (- (sqrt (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))))) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))) (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))) (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ 0.5 N) (/ 1 N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ 0.5 (* N N)) 1))) (fma (- (/ 0.5 (* N N))) 1 (* (/ 0.5 (* N N)) 1)) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ 1 (* N N)) 0.5))) (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5)) (fma (/ 1 1) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))) (fma (- (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))) (fma (/ 1 1) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))) (fma (- (sqrt (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))))) (fma (/ 1 1) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))) (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))) (fma (/ 1 1) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))) (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))) (fma (/ 1 1) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ 0.5 N) (/ 1 N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))) (fma (/ 1 1) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ 0.5 (* N N)) 1))) (fma (- (/ 0.5 (* N N))) 1 (* (/ 0.5 (* N N)) 1)) (fma (/ 1 1) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ 1 (* N N)) 0.5))) (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5)) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))) (fma (- (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))) (fma (- (sqrt (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))))) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))) (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))) (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ 0.5 N) (/ 1 N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ 0.5 (* N N)) 1))) (fma (- (/ 0.5 (* N N))) 1 (* (/ 0.5 (* N N)) 1)) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ 1 (* N N)) 0.5))) (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5)) (expm1 (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (log1p (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (- (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (/ (* (exp (/ 1.0 N)) (exp (/ 0.3333333333333333 (pow N 3)))) (exp (/ 0.5 (* N N)))) (/ (exp (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (exp (/ 0.5 (* N N)))) (log (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (exp (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (* (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))))) (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (* (* (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (- (* (+ (* 1.0 (pow N 3)) (* N 0.3333333333333333)) (* N N)) (* (* N (pow N 3)) 0.5)) (* (* N (pow N 3)) (* N N)) (- (* (+ (pow (/ 1.0 N) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (* N N)) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) 0.5)) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (* N N)) (- (* (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)))) (* N N)) (* (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) 0.5)) (* (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (* N N)) (- (pow (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))))) (- (/ 0.5 (* N N))) (- (* (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (+ (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (/ 0.5 (* N N)))) (- (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (/ (sqrt 0.5) N)) (- (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (/ (sqrt 0.5) N)) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (expm1 (/ 0.5 (* N N))) (log1p (/ 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) (expm1 (/ 0.3333333333333333 (pow N 3))) (log1p (/ 0.3333333333333333 (pow N 3))) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (log (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (* (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 0.3333333333333333) (cbrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N (/ 3 2))) (/ (cbrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 0.3333333333333333) (cbrt (pow N 3))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 1 1) (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 0.3333333333333333 1) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) 6.327 * * [simplify]: Extracting # 0 : cost 0 6.327 * * [simplify]: Extracting # 1 : cost 0 6.327 * * [simplify]: Extracting # 2 : cost 0 6.328 * * [simplify]: Extracting # 3 : cost 0 6.328 * * [simplify]: Extracting # 4 : cost 0 6.328 * * [simplify]: Extracting # 5 : cost 0 6.329 * * [simplify]: Extracting # 6 : cost 0 6.329 * * [simplify]: Extracting # 7 : cost 0 6.329 * * [simplify]: Extracting # 8 : cost 0 6.330 * * [simplify]: iteration 0 : 260 enodes (cost 3457 ) 6.411 * * [simplify]: Extracting # 0 : cost 0 6.413 * * [simplify]: Extracting # 1 : cost 0 6.415 * * [simplify]: Extracting # 2 : cost 0 6.417 * * [simplify]: Extracting # 3 : cost 0 6.418 * * [simplify]: Extracting # 4 : cost 0 6.420 * * [simplify]: Extracting # 5 : cost 0 6.421 * * [simplify]: iteration 1 : 684 enodes (cost 2935 ) 7.711 * * [simplify]: Extracting # 0 : cost 0 7.722 * * [simplify]: Extracting # 1 : cost 0 7.730 * * [simplify]: Extracting # 2 : cost 0 7.737 * * [simplify]: Extracting # 3 : cost 0 7.743 * * [simplify]: Extracting # 4 : cost 0 7.749 * * [simplify]: iteration 2 : 4788 enodes (cost 2473 ) 10.359 * * [simplify]: Extracting # 0 : cost 0 10.366 * * [simplify]: Extracting # 1 : cost 0 10.378 * * [simplify]: iteration done: 5000 enodes (cost 2473 ) 10.381 * [simplify]: Simplified to: (fma (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (/ (- 0.5) (* N N))) (* (/ 0.5 (pow N 2)) 0) (fma (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (/ (- 0.5) (* N N))) (* (/ 0.5 (pow N 2)) 0) (fma (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))) (* (/ (* (cbrt 0.5) (cbrt 0.5)) N) (+ (- (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N))) (fma (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))) (* (/ (sqrt 0.5) N) (+ (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N))) (- (* (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (/ (/ 0.5 N) N)) (* (/ 0.5 N) (+ (/ -1 N) (/ 1 N))) (fma (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (/ (- 0.5) (* N N))) (* (/ 0.5 (pow N 2)) 0) (fma (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (/ (- 0.5) (* N N))) (* (/ 0.5 (pow N 2)) 0) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2))) (* (/ 0.5 (pow N 2)) 0) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2))) (* (/ 0.5 (pow N 2)) 0) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))) (* (/ (* (cbrt 0.5) (cbrt 0.5)) N) (+ (- (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))) (* (/ (sqrt 0.5) N) (+ (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)) (* (/ 0.5 N) (+ (/ -1 N) (/ 1 N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2))) (* (/ 0.5 (pow N 2)) 0) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2))) (* (/ 0.5 (pow N 2)) 0) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2))) (* (/ 0.5 (pow N 2)) 0) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2))) (* (/ 0.5 (pow N 2)) 0) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))) (* (/ (* (cbrt 0.5) (cbrt 0.5)) N) (+ (- (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))) (* (/ (sqrt 0.5) N) (+ (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)) (* (/ 0.5 N) (+ (/ -1 N) (/ 1 N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2))) (* (/ 0.5 (pow N 2)) 0) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2))) (* (/ 0.5 (pow N 2)) 0) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2))) (* (/ 0.5 (pow N 2)) 0) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2))) (* (/ 0.5 (pow N 2)) 0) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))) (* (/ (* (cbrt 0.5) (cbrt 0.5)) N) (+ (- (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))) (* (/ (sqrt 0.5) N) (+ (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)) (* (/ 0.5 N) (+ (/ -1 N) (/ 1 N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2))) (* (/ 0.5 (pow N 2)) 0) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2))) (* (/ 0.5 (pow N 2)) 0) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2))) (* (/ 0.5 (pow N 2)) 0) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2))) (* (/ 0.5 (pow N 2)) 0) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))) (* (/ (* (cbrt 0.5) (cbrt 0.5)) N) (+ (- (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))) (* (/ (sqrt 0.5) N) (+ (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ (/ 0.5 N) N)) (* (/ 0.5 N) (+ (/ -1 N) (/ 1 N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2))) (* (/ 0.5 (pow N 2)) 0) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2))) (* (/ 0.5 (pow N 2)) 0) (expm1 (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (log1p (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (- (/ 0.5 (pow N 2))) (- (/ 0.5 (pow N 2))) (- (/ 0.5 (pow N 2))) (- (/ 0.5 (pow N 2))) (- (/ 0.5 (pow N 2))) (exp (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2)))) (exp (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2)))) (log (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (exp (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2)))) (* (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))))) (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (pow (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) 3) (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (fma (fma 1.0 (pow N 3) (* N 0.3333333333333333)) (pow N 2) (* (- 0.5) (pow N 4))) (pow N 6) (- (* (+ (pow (/ 1.0 N) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (* N N)) (* (fma (/ 1.0 N) (/ 1.0 N) (* (/ 0.3333333333333333 (pow N 3)) (- (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)))) 0.5)) (* (fma (/ 1.0 N) (/ 1.0 N) (* (/ 0.3333333333333333 (pow N 3)) (- (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)))) (pow N 2)) (- (* (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)))) (* N N)) (* (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) 0.5)) (* (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (* N N)) (- (pow (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) 3) (pow (/ 0.5 (* N N)) 3)) (fma (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (* (/ 0.5 (pow N 2)) (+ (/ 0.5 (pow N 2)) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))))) (- (/ 0.5 (pow N 2))) (- (* (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (/ 0.5 (pow N 2)) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (+ (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (/ 0.5 (* N N)))) (- (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (/ (sqrt 0.5) N)) (- (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (/ (sqrt 0.5) N)) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.5 (pow N 2))) (expm1 (/ 0.5 (* N N))) (log1p (/ 0.5 (* N N))) (log (/ 0.5 (pow N 2))) (log (/ 0.5 (pow N 2))) (log (/ 0.5 (pow N 2))) (exp (/ 0.5 (* N N))) (/ (pow 0.5 3) (pow N 6)) (/ (pow 0.5 3) (pow N 6)) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (/ (pow 0.5 3) (pow N 6)) (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) (expm1 (/ 0.3333333333333333 (pow N 3))) (log1p (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N 3/2)) (/ (cbrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (pow N 2)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (pow N 2))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (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)) 10.383 * * * [progress]: adding candidates to table 10.830 * [progress]: [Phase 3 of 3] Extracting. 10.831 * * [regime]: Finding splitpoints for: (# # #) 10.832 * * * [regime-changes]: Trying 1 branch expressions: (N) 10.832 * * * * [regimes]: Trying to branch on N from (# # #) 10.864 * * * [regime]: Found split indices: #