4.935 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.043 * * * [progress]: [2/2] Setting up program. 0.045 * [progress]: [Phase 2 of 3] Improving. 0.045 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.048 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.049 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.050 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.050 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.051 * * [progress]: iteration 1 / 4 0.051 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.059 * * * [progress]: generating rewritten candidates 0.059 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.066 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.070 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.071 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.071 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.071 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.071 * [taylor]: Taking taylor expansion of N in N 0.071 * [taylor]: Taking taylor expansion of 1.0 in N 0.071 * [taylor]: Taking taylor expansion of (log N) in N 0.071 * [taylor]: Taking taylor expansion of N in N 0.072 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.072 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.072 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.072 * [taylor]: Taking taylor expansion of 1.0 in N 0.072 * [taylor]: Taking taylor expansion of (log N) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.091 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.091 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.091 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.091 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.091 * [taylor]: Taking taylor expansion of N in N 0.092 * [taylor]: Taking taylor expansion of 1.0 in N 0.092 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.092 * [taylor]: Taking taylor expansion of N in N 0.093 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.093 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.093 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.093 * [taylor]: Taking taylor expansion of N in N 0.093 * [taylor]: Taking taylor expansion of 1.0 in N 0.094 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.094 * [taylor]: Taking taylor expansion of N in N 0.129 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.129 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.129 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.129 * [taylor]: Taking taylor expansion of 1.0 in N 0.129 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.130 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.130 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.130 * [taylor]: Taking taylor expansion of -1 in N 0.130 * [taylor]: Taking taylor expansion of N in N 0.131 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.131 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.131 * [taylor]: Taking taylor expansion of 1.0 in N 0.131 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.131 * [taylor]: Taking taylor expansion of N in N 0.132 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.132 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.132 * [taylor]: Taking taylor expansion of -1 in N 0.132 * [taylor]: Taking taylor expansion of N in N 0.165 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.165 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.165 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.165 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.165 * [taylor]: Taking taylor expansion of 1.0 in N 0.166 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.166 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.166 * [taylor]: Taking taylor expansion of N in N 0.166 * [taylor]: Taking taylor expansion of 1.0 in N 0.177 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.177 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.178 * [taylor]: Taking taylor expansion of 1.0 in N 0.178 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [taylor]: Taking taylor expansion of 1.0 in N 0.190 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.190 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.190 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.190 * [taylor]: Taking taylor expansion of 1.0 in N 0.190 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.190 * [taylor]: Taking taylor expansion of N in N 0.191 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.191 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.191 * [taylor]: Taking taylor expansion of 1.0 in N 0.191 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.191 * [taylor]: Taking taylor expansion of N in N 0.211 * * * [progress]: simplifying candidates 0.211 * [simplify]: Simplifying using # : (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (log (* (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)))) 0.215 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.218 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.227 * * [simplify]: iteration 2 : 1875 enodes (cost 250 ) 0.261 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.263 * [simplify]: Simplified to: (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0)))) (* (log N) (log N))) (log (/ 1 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 N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (log (/ 1 N)) (* 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 (+ (* 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))) (+ 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))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) 0.263 * * * [progress]: adding candidates to table 0.357 * * [progress]: iteration 2 / 4 0.357 * * * [progress]: picking best candidate 0.366 * * * * [pick]: Picked # 0.366 * * * [progress]: localizing error 0.382 * * * [progress]: generating rewritten candidates 0.382 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.396 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.399 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.402 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.408 * * * [progress]: generating series expansions 0.408 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.409 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in (N) around 0 0.409 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 0.409 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 0.409 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.409 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.409 * [taylor]: Taking taylor expansion of N in N 0.409 * [taylor]: Taking taylor expansion of 1.0 in N 0.410 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 0.410 * [taylor]: Taking taylor expansion of (log N) in N 0.410 * [taylor]: Taking taylor expansion of N in N 0.410 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 0.410 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 0.410 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.410 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.410 * [taylor]: Taking taylor expansion of N in N 0.410 * [taylor]: Taking taylor expansion of 1.0 in N 0.411 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 0.411 * [taylor]: Taking taylor expansion of (log N) in N 0.411 * [taylor]: Taking taylor expansion of N in N 0.466 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in (N) around 0 0.466 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 0.466 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 0.466 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.466 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.466 * [taylor]: Taking taylor expansion of N in N 0.466 * [taylor]: Taking taylor expansion of 1.0 in N 0.467 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 0.467 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.467 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.467 * [taylor]: Taking taylor expansion of N in N 0.468 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 0.468 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 0.468 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.468 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.468 * [taylor]: Taking taylor expansion of N in N 0.468 * [taylor]: Taking taylor expansion of 1.0 in N 0.469 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 0.469 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.469 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.469 * [taylor]: Taking taylor expansion of N in N 0.510 * [approximate]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in (N) around 0 0.510 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 0.510 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 0.510 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.510 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.510 * [taylor]: Taking taylor expansion of 1.0 in N 0.510 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.510 * [taylor]: Taking taylor expansion of N in N 0.512 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 0.512 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.512 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.512 * [taylor]: Taking taylor expansion of -1 in N 0.512 * [taylor]: Taking taylor expansion of N in N 0.513 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 0.513 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 0.513 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.513 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.513 * [taylor]: Taking taylor expansion of 1.0 in N 0.513 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.513 * [taylor]: Taking taylor expansion of N in N 0.514 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 0.514 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.514 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.514 * [taylor]: Taking taylor expansion of -1 in N 0.514 * [taylor]: Taking taylor expansion of N in N 0.598 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.599 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.599 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.599 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.599 * [taylor]: Taking taylor expansion of N in N 0.599 * [taylor]: Taking taylor expansion of 1.0 in N 0.599 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.599 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.599 * [taylor]: Taking taylor expansion of N in N 0.599 * [taylor]: Taking taylor expansion of 1.0 in N 0.616 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.616 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.616 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.616 * [taylor]: Taking taylor expansion of N in N 0.617 * [taylor]: Taking taylor expansion of 1.0 in N 0.617 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.617 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.617 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.617 * [taylor]: Taking taylor expansion of N in N 0.617 * [taylor]: Taking taylor expansion of 1.0 in N 0.629 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.629 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.629 * [taylor]: Taking taylor expansion of 1.0 in N 0.629 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.630 * [taylor]: Taking taylor expansion of N in N 0.630 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.631 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.631 * [taylor]: Taking taylor expansion of 1.0 in N 0.631 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.631 * [taylor]: Taking taylor expansion of N in N 0.645 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.645 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.645 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.645 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.645 * [taylor]: Taking taylor expansion of N in N 0.645 * [taylor]: Taking taylor expansion of 1.0 in N 0.645 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.645 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.645 * [taylor]: Taking taylor expansion of N in N 0.646 * [taylor]: Taking taylor expansion of 1.0 in N 0.657 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.657 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.657 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.657 * [taylor]: Taking taylor expansion of N in N 0.657 * [taylor]: Taking taylor expansion of 1.0 in N 0.658 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.658 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.658 * [taylor]: Taking taylor expansion of N in N 0.658 * [taylor]: Taking taylor expansion of 1.0 in N 0.670 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.670 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.670 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.670 * [taylor]: Taking taylor expansion of 1.0 in N 0.671 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.671 * [taylor]: Taking taylor expansion of N in N 0.671 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.672 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.672 * [taylor]: Taking taylor expansion of 1.0 in N 0.672 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.672 * [taylor]: Taking taylor expansion of N in N 0.685 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.686 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.686 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.686 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.686 * [taylor]: Taking taylor expansion of N in N 0.686 * [taylor]: Taking taylor expansion of 1.0 in N 0.686 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.686 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.686 * [taylor]: Taking taylor expansion of N in N 0.686 * [taylor]: Taking taylor expansion of 1.0 in N 0.704 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.704 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.705 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.705 * [taylor]: Taking taylor expansion of N in N 0.705 * [taylor]: Taking taylor expansion of 1.0 in N 0.705 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.705 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.705 * [taylor]: Taking taylor expansion of N in N 0.706 * [taylor]: Taking taylor expansion of 1.0 in N 0.717 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.717 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.718 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.718 * [taylor]: Taking taylor expansion of 1.0 in N 0.718 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.718 * [taylor]: Taking taylor expansion of N in N 0.719 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.719 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.719 * [taylor]: Taking taylor expansion of 1.0 in N 0.719 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.719 * [taylor]: Taking taylor expansion of N in N 0.732 * * * [progress]: simplifying candidates 0.734 * [simplify]: Simplifying using # : (/ (exp (pow (log (+ N 1.0)) 3)) (exp (pow (log N) 3))) (log (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (* (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (sqrt (- (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 1.0)) (log N)) (- (pow (pow (log (+ N 1.0)) 3) 3) (pow (pow (log N) 3) 3)) (+ (* (pow (log (+ N 1.0)) 3) (pow (log (+ N 1.0)) 3)) (+ (* (pow (log N) 3) (pow (log N) 3)) (* (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (- (pow (log N) 3)) (- (* (pow (log (+ N 1.0)) 3) (pow (log (+ N 1.0)) 3)) (* (pow (log N) 3) (pow (log N) 3))) (+ (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (- (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (log N) (/ 3 2))) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (log N) (/ 3 2))) (+ (pow (log (+ N 1.0)) (/ 3 2)) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) (/ 3 2)) (pow (sqrt (log N)) 3)) (+ (pow (log (+ N 1.0)) (/ 3 2)) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) (/ 3 2)) (pow (sqrt (log N)) 3)) (+ (pow (log (+ N 1.0)) (/ 3 2)) (sqrt (pow (log N) 3))) (- (pow (log (+ N 1.0)) (/ 3 2)) (sqrt (pow (log N) 3))) (+ (pow (log (+ N 1.0)) (/ 3 2)) (pow (log N) (/ 3 2))) (- (pow (log (+ N 1.0)) (/ 3 2)) (pow (log N) (/ 3 2))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log N) 3)) (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))) (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))) (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))) (- (+ (* 3.0 (* (pow N 2) (log 1.0))) (+ (* 3.0 (* N (pow (log 1.0) 2))) (pow (log 1.0) 3))) (+ (* 3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2))) (pow (log N) 3))) (- (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1.0 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (* 3.0 (/ (log (/ 1 N)) (pow N 3)))))) (+ (* 1.5 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ 1 N)) (pow N 2))))) (- (+ (* 3.0 (/ (pow (log -1) 2) N)) (+ (* 3.0 (/ (log (/ -1 N)) (pow N 3))) (+ (* 1.0 (/ (pow (log -1) 2) (pow N 3))) (+ (* 3.0 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (* (log -1) (log (/ -1 N))) (pow N 2))) (+ (* 1.0 (/ (pow (log (/ -1 N)) 2) (pow N 3))) (* 3.0 (/ (log -1) (pow N 2)))))))))) (+ (* 2.0 (/ (* (log -1) (log (/ -1 N))) (pow N 3))) (+ (* 1.5 (/ (pow (log -1) 2) (pow N 2))) (+ (* 3.0 (/ (log -1) (pow N 3))) (+ (* 6.0 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ -1 N)) (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)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 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)))) 0.741 * * [simplify]: iteration 0 : 480 enodes (cost 888 ) 0.749 * * [simplify]: iteration 1 : 1809 enodes (cost 857 ) 0.777 * * [simplify]: iteration 2 : 5001 enodes (cost 844 ) 0.781 * [simplify]: Simplified to: (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (log (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (pow (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) 3) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (+ (* (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N))) (pow (log (/ 1 N)) 2)) (- (log (+ N 1.0)) (log N)) (- (pow (pow (log (+ N 1.0)) 3) 3) (pow (pow (log N) 3) 3)) (+ (+ (pow (log (+ N 1.0)) 6) (pow (log N) 6)) (* (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (- (pow (log N) 3)) (+ (pow (log (+ N 1.0)) 6) (- (pow (log N) 6))) (+ (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) 3/2)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) 3/2)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) 3/2)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) 3/2)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (- (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (log N) 3/2)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (log N) 3/2)) (+ (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (+ (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (+ (pow (log (+ N 1.0)) 3/2) (sqrt (pow (log N) 3))) (- (pow (log (+ N 1.0)) 3/2) (sqrt (pow (log N) 3))) (+ (pow (log (+ N 1.0)) 3/2) (pow (log N) 3/2)) (- (pow (log (+ N 1.0)) 3/2) (pow (log N) 3/2)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log N) 3)) (* 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 (+ (* 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))) (+ 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))) (* 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 (+ (* 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))) (+ 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))) (* 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 (+ (* 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))) (+ 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))) (+ (* 3.0 (+ (* (pow N 2) (log 1.0)) (* N (pow (log 1.0) 2)))) (- (pow (log 1.0) 3) (+ (* 3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2))) (pow (log N) 3)))) (+ (* (/ (pow (log (/ 1 N)) 2) N) (+ (/ 1.0 (pow N 2)) 3.0)) (+ (- (* 3.0 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1.5 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ 1 N)) (pow N 2))))) (/ 1.0 (pow N 3)))) (+ (+ (- (+ (* 2.0 (/ (* (log -1) (log (/ -1 N))) (pow N 3))) (+ (* 1.5 (/ (pow (log -1) 2) (pow N 2))) (+ (* 3.0 (/ (log -1) (pow N 3))) (+ (* 6.0 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ -1 N)) (pow N 2))))))))) (+ (* 3.0 (+ (/ (pow (log -1) 2) N) (/ (log (/ -1 N)) (pow N 3)))) (+ (* 1.0 (/ (pow (log -1) 2) (pow N 3))) (* 3.0 (/ (pow (log (/ -1 N)) 2) N))))) (+ (+ (/ 1.0 (pow N 3)) (* (/ 3.0 N) (+ (/ (* (log -1) (log (/ -1 N))) N) (/ (log -1) N)))) (* 1.0 (/ (pow (log (/ -1 N)) 2) (pow N 3))))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (+ (+ (/ 1.0 N) (log N)) (/ (- 0.5) (pow N 2))) (+ (- (log -1) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (/ 1.0 N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (+ (+ (/ 1.0 N) (log N)) (/ (- 0.5) (pow N 2))) (+ (- (log -1) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (/ 1.0 N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (+ (+ (/ 1.0 N) (log N)) (/ (- 0.5) (pow N 2))) (+ (- (log -1) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (/ 1.0 N)) 0.782 * * * [progress]: adding candidates to table 1.066 * * [progress]: iteration 3 / 4 1.066 * * * [progress]: picking best candidate 1.079 * * * * [pick]: Picked # 1.079 * * * [progress]: localizing error 1.084 * * * [progress]: generating rewritten candidates 1.084 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.088 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.096 * * * [progress]: generating series expansions 1.096 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.096 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.096 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.096 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.096 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.096 * [taylor]: Taking taylor expansion of N in N 1.096 * [taylor]: Taking taylor expansion of 1.0 in N 1.096 * [taylor]: Taking taylor expansion of N in N 1.097 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.097 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.097 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.097 * [taylor]: Taking taylor expansion of N in N 1.097 * [taylor]: Taking taylor expansion of 1.0 in N 1.097 * [taylor]: Taking taylor expansion of N in N 1.111 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.111 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.111 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.111 * [taylor]: Taking taylor expansion of N in N 1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.111 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.111 * [taylor]: Taking taylor expansion of N in N 1.111 * [taylor]: Taking taylor expansion of 1.0 in N 1.113 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.113 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.113 * [taylor]: Taking taylor expansion of N in N 1.113 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.113 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.113 * [taylor]: Taking taylor expansion of N in N 1.114 * [taylor]: Taking taylor expansion of 1.0 in N 1.140 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.140 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.140 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.140 * [taylor]: Taking taylor expansion of -1 in N 1.140 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.140 * [taylor]: Taking taylor expansion of N in N 1.140 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.140 * [taylor]: Taking taylor expansion of 1.0 in N 1.140 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.140 * [taylor]: Taking taylor expansion of N in N 1.148 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.148 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.148 * [taylor]: Taking taylor expansion of -1 in N 1.148 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.148 * [taylor]: Taking taylor expansion of N in N 1.148 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.148 * [taylor]: Taking taylor expansion of 1.0 in N 1.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.148 * [taylor]: Taking taylor expansion of N in N 1.181 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.181 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 1.181 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.181 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.181 * [taylor]: Taking taylor expansion of N in N 1.181 * [taylor]: Taking taylor expansion of 1.0 in N 1.182 * [taylor]: Taking taylor expansion of N in N 1.182 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.182 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.182 * [taylor]: Taking taylor expansion of N in N 1.182 * [taylor]: Taking taylor expansion of 1.0 in N 1.182 * [taylor]: Taking taylor expansion of N in N 1.189 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 1.189 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.189 * [taylor]: Taking taylor expansion of N in N 1.189 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.189 * [taylor]: Taking taylor expansion of N in N 1.189 * [taylor]: Taking taylor expansion of 1.0 in N 1.189 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.189 * [taylor]: Taking taylor expansion of N in N 1.189 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.189 * [taylor]: Taking taylor expansion of N in N 1.190 * [taylor]: Taking taylor expansion of 1.0 in N 1.203 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 1.203 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.203 * [taylor]: Taking taylor expansion of -1 in N 1.203 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.203 * [taylor]: Taking taylor expansion of N in N 1.203 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.203 * [taylor]: Taking taylor expansion of 1.0 in N 1.203 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.203 * [taylor]: Taking taylor expansion of N in N 1.203 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.203 * [taylor]: Taking taylor expansion of -1 in N 1.203 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.203 * [taylor]: Taking taylor expansion of N in N 1.204 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.204 * [taylor]: Taking taylor expansion of 1.0 in N 1.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.204 * [taylor]: Taking taylor expansion of N in N 1.233 * * * [progress]: simplifying candidates 1.234 * [simplify]: Simplifying using # : (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ 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) 1.238 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 1.242 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 1.256 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 1.332 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 1.334 * [simplify]: Simplified to: (* 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))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (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)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (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))) 0 (log (/ (+ N 1.0) N)) 0 (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))) (/ (+ 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))) (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)) (* (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 1.334 * * * [progress]: adding candidates to table 1.446 * * [progress]: iteration 4 / 4 1.446 * * * [progress]: picking best candidate 1.460 * * * * [pick]: Picked # 1.460 * * * [progress]: localizing error 1.473 * * * [progress]: generating rewritten candidates 1.473 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.492 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.494 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2) 1.495 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 1.501 * * * [progress]: generating series expansions 1.501 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.502 * [approximate]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) in (N) around 0 1.502 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) in N 1.502 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) in N 1.502 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0))) in N 1.502 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.502 * [taylor]: Taking taylor expansion of 1/3 in N 1.502 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.502 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.502 * [taylor]: Taking taylor expansion of N in N 1.503 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.503 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.503 * [taylor]: Taking taylor expansion of N in N 1.503 * [taylor]: Taking taylor expansion of 1.0 in N 1.506 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) in N 1.506 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))) in N 1.506 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.506 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.506 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.506 * [taylor]: Taking taylor expansion of 1/3 in N 1.506 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.506 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.506 * [taylor]: Taking taylor expansion of N in N 1.507 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.507 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.507 * [taylor]: Taking taylor expansion of N in N 1.507 * [taylor]: Taking taylor expansion of 1.0 in N 1.509 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) in N 1.510 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) in N 1.510 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0))) in N 1.510 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.510 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.510 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.510 * [taylor]: Taking taylor expansion of 1/3 in N 1.510 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.510 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.510 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.510 * [taylor]: Taking taylor expansion of N in N 1.516 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.516 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.516 * [taylor]: Taking taylor expansion of N in N 1.516 * [taylor]: Taking taylor expansion of 1.0 in N 1.519 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) in N 1.519 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))) in N 1.519 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.519 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.519 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.519 * [taylor]: Taking taylor expansion of 1/3 in N 1.519 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.519 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.519 * [taylor]: Taking taylor expansion of N in N 1.520 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.520 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.520 * [taylor]: Taking taylor expansion of N in N 1.520 * [taylor]: Taking taylor expansion of 1.0 in N 1.570 * [approximate]: Taking taylor expansion of (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 1.570 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) in N 1.570 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 1.570 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 1.570 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.570 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.570 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.570 * [taylor]: Taking taylor expansion of 1/3 in N 1.570 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.570 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.570 * [taylor]: Taking taylor expansion of N in N 1.571 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.571 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.571 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.571 * [taylor]: Taking taylor expansion of N in N 1.572 * [taylor]: Taking taylor expansion of 1.0 in N 1.576 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 1.576 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 1.576 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.576 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.576 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.576 * [taylor]: Taking taylor expansion of 1/3 in N 1.576 * [taylor]: Taking taylor expansion of (log N) in N 1.576 * [taylor]: Taking taylor expansion of N in N 1.576 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.576 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.576 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.576 * [taylor]: Taking taylor expansion of N in N 1.577 * [taylor]: Taking taylor expansion of 1.0 in N 1.580 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) in N 1.580 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 1.580 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 1.580 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.580 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.580 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.580 * [taylor]: Taking taylor expansion of 1/3 in N 1.580 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.580 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.580 * [taylor]: Taking taylor expansion of N in N 1.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.581 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.581 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.581 * [taylor]: Taking taylor expansion of N in N 1.582 * [taylor]: Taking taylor expansion of 1.0 in N 1.586 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 1.586 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 1.586 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.586 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.586 * [taylor]: Taking taylor expansion of 1/3 in N 1.586 * [taylor]: Taking taylor expansion of (log N) in N 1.586 * [taylor]: Taking taylor expansion of N in N 1.587 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.587 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.587 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.587 * [taylor]: Taking taylor expansion of N in N 1.587 * [taylor]: Taking taylor expansion of 1.0 in N 1.631 * [approximate]: Taking taylor expansion of (+ (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 1.631 * [taylor]: Taking taylor expansion of (+ (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) in N 1.631 * [taylor]: Taking taylor expansion of (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 1.631 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 1.631 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 1.631 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.631 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.631 * [taylor]: Taking taylor expansion of -1 in N 1.634 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 1.634 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.634 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.634 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.634 * [taylor]: Taking taylor expansion of 1/3 in N 1.634 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.634 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.634 * [taylor]: Taking taylor expansion of N in N 1.635 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.635 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.635 * [taylor]: Taking taylor expansion of 1.0 in N 1.635 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.635 * [taylor]: Taking taylor expansion of N in N 1.644 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 1.644 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 1.644 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 1.644 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.644 * [taylor]: Taking taylor expansion of -1 in N 1.645 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 1.646 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.646 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.646 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.646 * [taylor]: Taking taylor expansion of 1/3 in N 1.646 * [taylor]: Taking taylor expansion of (log N) in N 1.646 * [taylor]: Taking taylor expansion of N in N 1.646 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.646 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.646 * [taylor]: Taking taylor expansion of 1.0 in N 1.646 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.646 * [taylor]: Taking taylor expansion of N in N 1.653 * [taylor]: Taking taylor expansion of (+ (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) in N 1.653 * [taylor]: Taking taylor expansion of (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 1.653 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 1.653 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 1.653 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.653 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.653 * [taylor]: Taking taylor expansion of -1 in N 1.656 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 1.656 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.656 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.656 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.656 * [taylor]: Taking taylor expansion of 1/3 in N 1.656 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.656 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.656 * [taylor]: Taking taylor expansion of N in N 1.657 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.657 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.657 * [taylor]: Taking taylor expansion of 1.0 in N 1.657 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.657 * [taylor]: Taking taylor expansion of N in N 1.666 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 1.666 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 1.666 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 1.666 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.666 * [taylor]: Taking taylor expansion of -1 in N 1.668 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 1.668 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.668 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.668 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.668 * [taylor]: Taking taylor expansion of 1/3 in N 1.668 * [taylor]: Taking taylor expansion of (log N) in N 1.668 * [taylor]: Taking taylor expansion of N in N 1.668 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.668 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.668 * [taylor]: Taking taylor expansion of 1.0 in N 1.669 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.669 * [taylor]: Taking taylor expansion of N in N 1.749 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.749 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.749 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.749 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.749 * [taylor]: Taking taylor expansion of 1/3 in N 1.749 * [taylor]: Taking taylor expansion of (log N) in N 1.749 * [taylor]: Taking taylor expansion of N in N 1.750 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.750 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.750 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.750 * [taylor]: Taking taylor expansion of 1/3 in N 1.750 * [taylor]: Taking taylor expansion of (log N) in N 1.750 * [taylor]: Taking taylor expansion of N in N 1.805 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.805 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.805 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.805 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.805 * [taylor]: Taking taylor expansion of 1/3 in N 1.805 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.805 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.805 * [taylor]: Taking taylor expansion of N in N 1.806 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.806 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.806 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.806 * [taylor]: Taking taylor expansion of 1/3 in N 1.806 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.806 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.806 * [taylor]: Taking taylor expansion of N in N 1.862 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.862 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.862 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.863 * [taylor]: Taking taylor expansion of -1 in N 1.863 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.863 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.863 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.863 * [taylor]: Taking taylor expansion of 1/3 in N 1.863 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.863 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.863 * [taylor]: Taking taylor expansion of N in N 1.864 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.864 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.864 * [taylor]: Taking taylor expansion of -1 in N 1.865 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.865 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.865 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.865 * [taylor]: Taking taylor expansion of 1/3 in N 1.865 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.865 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.865 * [taylor]: Taking taylor expansion of N in N 1.928 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2) 1.928 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.928 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.928 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.928 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.928 * [taylor]: Taking taylor expansion of 1/3 in N 1.928 * [taylor]: Taking taylor expansion of (log N) in N 1.928 * [taylor]: Taking taylor expansion of N in N 1.929 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.929 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.929 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.929 * [taylor]: Taking taylor expansion of 1/3 in N 1.929 * [taylor]: Taking taylor expansion of (log N) in N 1.929 * [taylor]: Taking taylor expansion of N in N 1.984 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.984 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.984 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.984 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.984 * [taylor]: Taking taylor expansion of 1/3 in N 1.984 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.984 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.984 * [taylor]: Taking taylor expansion of N in N 1.985 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.985 * [taylor]: Taking taylor expansion of 1/3 in N 1.985 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.985 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.985 * [taylor]: Taking taylor expansion of N in N 2.043 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 2.043 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.043 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.043 * [taylor]: Taking taylor expansion of -1 in N 2.044 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.044 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.044 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.044 * [taylor]: Taking taylor expansion of 1/3 in N 2.044 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.044 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.044 * [taylor]: Taking taylor expansion of N in N 2.045 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.045 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.045 * [taylor]: Taking taylor expansion of -1 in N 2.046 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.046 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.046 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.046 * [taylor]: Taking taylor expansion of 1/3 in N 2.046 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.046 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.046 * [taylor]: Taking taylor expansion of N in N 2.117 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 2.117 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 2.117 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.117 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.117 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.117 * [taylor]: Taking taylor expansion of 1/3 in N 2.117 * [taylor]: Taking taylor expansion of (log N) in N 2.117 * [taylor]: Taking taylor expansion of N in N 2.117 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.117 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.117 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.117 * [taylor]: Taking taylor expansion of 1/3 in N 2.117 * [taylor]: Taking taylor expansion of (log N) in N 2.117 * [taylor]: Taking taylor expansion of N in N 2.166 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 2.166 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.166 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.166 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.166 * [taylor]: Taking taylor expansion of 1/3 in N 2.166 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.166 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.166 * [taylor]: Taking taylor expansion of N in N 2.167 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.167 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.167 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.167 * [taylor]: Taking taylor expansion of 1/3 in N 2.167 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.167 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.167 * [taylor]: Taking taylor expansion of N in N 2.225 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 2.225 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.226 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.226 * [taylor]: Taking taylor expansion of -1 in N 2.226 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.226 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.226 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.226 * [taylor]: Taking taylor expansion of 1/3 in N 2.226 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.226 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.226 * [taylor]: Taking taylor expansion of N in N 2.227 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.227 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.227 * [taylor]: Taking taylor expansion of -1 in N 2.228 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.228 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.228 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.228 * [taylor]: Taking taylor expansion of 1/3 in N 2.228 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.228 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.228 * [taylor]: Taking taylor expansion of N in N 2.298 * * * [progress]: simplifying candidates 2.300 * [simplify]: Simplifying using # : (* (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N))) (log (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (exp (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (* (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (* (* (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (sqrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (sqrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (pow (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) 3) (pow (log (/ (sqrt (+ N 1.0)) (cbrt N))) 3)) (+ (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (- (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (- (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (* (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 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(cbrt 1) (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (+ (/ N 1.0) (+ (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (- (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) (* (/ 1/2 1.0) (/ (pow N 2) 1.0))))) (- (+ (log (- (* +nan.0 (pow (/ 1 N) 1/3)))) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) (- (/ (/ +nan.0 N) N) (/ +nan.0 N))) (- (+ (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow N 2)) 1/3))))) (log (- (* +nan.0 (* (pow (/ -1 N) 1/3) (/ 1 (cbrt -1))))))) (- (/ (/ +nan.0 N) N) (/ +nan.0 N))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) 2.345 * * * [progress]: adding candidates to table 2.693 * [progress]: [Phase 3 of 3] Extracting. 2.693 * * [regime]: Finding splitpoints for: (# # # # #) 2.696 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.697 * * * * [regimes]: Trying to branch on N from (# # # # #) 2.726 * * * [regime]: Found split indices: #