5.262 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.068 * * * [progress]: [2/2] Setting up program. 0.070 * [progress]: [Phase 2 of 3] Improving. 0.071 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.073 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.074 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.075 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.075 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.075 * * [progress]: iteration 1 / 4 0.075 * * * [progress]: picking best candidate 0.077 * * * * [pick]: Picked # 0.077 * * * [progress]: localizing error 0.084 * * * [progress]: generating rewritten candidates 0.084 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.090 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.094 * * * [progress]: generating series expansions 0.094 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.094 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.094 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.094 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.094 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.094 * [taylor]: Taking taylor expansion of N in N 0.094 * [taylor]: Taking taylor expansion of 1.0 in N 0.095 * [taylor]: Taking taylor expansion of (log N) in N 0.095 * [taylor]: Taking taylor expansion of N in N 0.095 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.095 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.095 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.095 * [taylor]: Taking taylor expansion of N in N 0.095 * [taylor]: Taking taylor expansion of 1.0 in N 0.096 * [taylor]: Taking taylor expansion of (log N) in N 0.096 * [taylor]: Taking taylor expansion of N in N 0.114 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.114 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.114 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.114 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.114 * [taylor]: Taking taylor expansion of N in N 0.115 * [taylor]: Taking taylor expansion of 1.0 in N 0.115 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.115 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.115 * [taylor]: Taking taylor expansion of N in N 0.116 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.116 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.116 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.116 * [taylor]: Taking taylor expansion of N in N 0.116 * [taylor]: Taking taylor expansion of 1.0 in N 0.117 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.117 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.117 * [taylor]: Taking taylor expansion of N in N 0.152 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.152 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.152 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.152 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.152 * [taylor]: Taking taylor expansion of 1.0 in N 0.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.153 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.153 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.153 * [taylor]: Taking taylor expansion of -1 in N 0.153 * [taylor]: Taking taylor expansion of N in N 0.153 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.153 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.153 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.153 * [taylor]: Taking taylor expansion of 1.0 in N 0.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.154 * [taylor]: Taking taylor expansion of N in N 0.154 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.155 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.155 * [taylor]: Taking taylor expansion of -1 in N 0.155 * [taylor]: Taking taylor expansion of N in N 0.188 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.188 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.188 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.188 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.188 * [taylor]: Taking taylor expansion of N in N 0.188 * [taylor]: Taking taylor expansion of 1.0 in N 0.189 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.189 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.200 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.200 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.200 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.200 * [taylor]: Taking taylor expansion of N in N 0.201 * [taylor]: Taking taylor expansion of 1.0 in N 0.201 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.201 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.201 * [taylor]: Taking taylor expansion of N in N 0.201 * [taylor]: Taking taylor expansion of 1.0 in N 0.219 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.219 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.219 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.219 * [taylor]: Taking taylor expansion of 1.0 in N 0.219 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.220 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.220 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.220 * [taylor]: Taking taylor expansion of 1.0 in N 0.220 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.234 * * * [progress]: simplifying candidates 0.235 * [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)))) 0.238 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.242 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.250 * * [simplify]: iteration 2 : 1875 enodes (cost 250 ) 0.285 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.286 * [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))) 0.286 * * * [progress]: adding candidates to table 0.390 * * [progress]: iteration 2 / 4 0.390 * * * [progress]: picking best candidate 0.398 * * * * [pick]: Picked # 0.398 * * * [progress]: localizing error 0.402 * * * [progress]: generating rewritten candidates 0.402 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.406 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.416 * * * [progress]: generating series expansions 0.416 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.416 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.416 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.416 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.416 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.416 * [taylor]: Taking taylor expansion of N in N 0.416 * [taylor]: Taking taylor expansion of 1.0 in N 0.416 * [taylor]: Taking taylor expansion of N in N 0.417 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.418 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.418 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.418 * [taylor]: Taking taylor expansion of N in N 0.418 * [taylor]: Taking taylor expansion of 1.0 in N 0.418 * [taylor]: Taking taylor expansion of N in N 0.431 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.431 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.431 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.431 * [taylor]: Taking taylor expansion of N in N 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.431 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.431 * [taylor]: Taking taylor expansion of N in N 0.431 * [taylor]: Taking taylor expansion of 1.0 in N 0.433 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.433 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.434 * [taylor]: Taking taylor expansion of N in N 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.434 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.434 * [taylor]: Taking taylor expansion of N in N 0.434 * [taylor]: Taking taylor expansion of 1.0 in N 0.465 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.465 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.465 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.465 * [taylor]: Taking taylor expansion of -1 in N 0.465 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.465 * [taylor]: Taking taylor expansion of N in N 0.465 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.465 * [taylor]: Taking taylor expansion of 1.0 in N 0.465 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.465 * [taylor]: Taking taylor expansion of N in N 0.468 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.468 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.468 * [taylor]: Taking taylor expansion of -1 in N 0.468 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.468 * [taylor]: Taking taylor expansion of N in N 0.468 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.468 * [taylor]: Taking taylor expansion of 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 0.501 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.501 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.501 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.501 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.501 * [taylor]: Taking taylor expansion of N in N 0.501 * [taylor]: Taking taylor expansion of 1.0 in N 0.501 * [taylor]: Taking taylor expansion of N in N 0.502 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.502 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.502 * [taylor]: Taking taylor expansion of N in N 0.502 * [taylor]: Taking taylor expansion of 1.0 in N 0.502 * [taylor]: Taking taylor expansion of N in N 0.509 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.509 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.509 * [taylor]: Taking taylor expansion of N in N 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.509 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.509 * [taylor]: Taking taylor expansion of N in N 0.509 * [taylor]: Taking taylor expansion of 1.0 in N 0.509 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.509 * [taylor]: Taking taylor expansion of N in N 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.509 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.509 * [taylor]: Taking taylor expansion of N in N 0.510 * [taylor]: Taking taylor expansion of 1.0 in N 0.523 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.523 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.523 * [taylor]: Taking taylor expansion of -1 in N 0.523 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.523 * [taylor]: Taking taylor expansion of N in N 0.523 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.523 * [taylor]: Taking taylor expansion of 1.0 in N 0.523 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.523 * [taylor]: Taking taylor expansion of N in N 0.523 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.524 * [taylor]: Taking taylor expansion of -1 in N 0.524 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.524 * [taylor]: Taking taylor expansion of N in N 0.524 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.524 * [taylor]: Taking taylor expansion of 1.0 in N 0.524 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.524 * [taylor]: Taking taylor expansion of N in N 0.552 * * * [progress]: simplifying candidates 0.553 * [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) 0.557 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 0.561 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 0.574 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 0.649 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 0.652 * [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) 0.652 * * * [progress]: adding candidates to table 0.769 * * [progress]: iteration 3 / 4 0.769 * * * [progress]: picking best candidate 0.775 * * * * [pick]: Picked # 0.776 * * * [progress]: localizing error 0.784 * * * [progress]: generating rewritten candidates 0.784 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.789 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.793 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.796 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.804 * * * [progress]: generating series expansions 0.804 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.804 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 0.804 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.804 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.804 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.804 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.804 * [taylor]: Taking taylor expansion of 1/3 in N 0.804 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.804 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.804 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.804 * [taylor]: Taking taylor expansion of N in N 0.804 * [taylor]: Taking taylor expansion of 1.0 in N 0.804 * [taylor]: Taking taylor expansion of N in N 0.807 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.807 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.807 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.807 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.807 * [taylor]: Taking taylor expansion of 1/3 in N 0.807 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.808 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.808 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.808 * [taylor]: Taking taylor expansion of N in N 0.808 * [taylor]: Taking taylor expansion of 1.0 in N 0.808 * [taylor]: Taking taylor expansion of N in N 0.843 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 0.843 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.843 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.843 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.843 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.843 * [taylor]: Taking taylor expansion of 1/3 in N 0.843 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.843 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.843 * [taylor]: Taking taylor expansion of N in N 0.843 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.843 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.843 * [taylor]: Taking taylor expansion of N in N 0.843 * [taylor]: Taking taylor expansion of 1.0 in N 0.853 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.853 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.853 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.853 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.853 * [taylor]: Taking taylor expansion of 1/3 in N 0.853 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.853 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.853 * [taylor]: Taking taylor expansion of N in N 0.853 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.853 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.853 * [taylor]: Taking taylor expansion of N in N 0.853 * [taylor]: Taking taylor expansion of 1.0 in N 0.930 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 0.931 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 0.931 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.931 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.931 * [taylor]: Taking taylor expansion of -1 in N 0.932 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.932 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.932 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.932 * [taylor]: Taking taylor expansion of 1/3 in N 0.932 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.932 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.932 * [taylor]: Taking taylor expansion of N in N 0.932 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.932 * [taylor]: Taking taylor expansion of 1.0 in N 0.932 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.932 * [taylor]: Taking taylor expansion of N in N 0.938 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 0.939 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.939 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.939 * [taylor]: Taking taylor expansion of -1 in N 0.939 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.939 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.939 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.939 * [taylor]: Taking taylor expansion of 1/3 in N 0.939 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.939 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.939 * [taylor]: Taking taylor expansion of N in N 0.939 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.939 * [taylor]: Taking taylor expansion of 1.0 in N 0.939 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.939 * [taylor]: Taking taylor expansion of N in N 1.021 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.021 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 1.021 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.021 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.021 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.021 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.021 * [taylor]: Taking taylor expansion of 1/3 in N 1.021 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.021 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.021 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.021 * [taylor]: Taking taylor expansion of N in N 1.021 * [taylor]: Taking taylor expansion of 1.0 in N 1.021 * [taylor]: Taking taylor expansion of N in N 1.024 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.024 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.024 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.024 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.024 * [taylor]: Taking taylor expansion of 1/3 in N 1.024 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.024 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.024 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.024 * [taylor]: Taking taylor expansion of N in N 1.024 * [taylor]: Taking taylor expansion of 1.0 in N 1.024 * [taylor]: Taking taylor expansion of N in N 1.054 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 1.054 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.054 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.054 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.054 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.054 * [taylor]: Taking taylor expansion of 1/3 in N 1.054 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.054 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.054 * [taylor]: Taking taylor expansion of N in N 1.054 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.054 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.054 * [taylor]: Taking taylor expansion of N in N 1.055 * [taylor]: Taking taylor expansion of 1.0 in N 1.064 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.064 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.064 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.064 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.064 * [taylor]: Taking taylor expansion of 1/3 in N 1.064 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.064 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.064 * [taylor]: Taking taylor expansion of N in N 1.064 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.064 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.064 * [taylor]: Taking taylor expansion of N in N 1.064 * [taylor]: Taking taylor expansion of 1.0 in N 1.138 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 1.138 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.138 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.138 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.138 * [taylor]: Taking taylor expansion of -1 in N 1.139 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.139 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.139 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.139 * [taylor]: Taking taylor expansion of 1/3 in N 1.139 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.139 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.139 * [taylor]: Taking taylor expansion of N in N 1.139 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.139 * [taylor]: Taking taylor expansion of 1.0 in N 1.139 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.139 * [taylor]: Taking taylor expansion of N in N 1.145 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.146 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.146 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.146 * [taylor]: Taking taylor expansion of -1 in N 1.146 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.146 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.146 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.146 * [taylor]: Taking taylor expansion of 1/3 in N 1.146 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.146 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.146 * [taylor]: Taking taylor expansion of N in N 1.146 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.146 * [taylor]: Taking taylor expansion of 1.0 in N 1.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.147 * [taylor]: Taking taylor expansion of N in N 1.227 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.227 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 1.227 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.227 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.227 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.227 * [taylor]: Taking taylor expansion of 1/3 in N 1.227 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.227 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.227 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.227 * [taylor]: Taking taylor expansion of N in N 1.227 * [taylor]: Taking taylor expansion of 1.0 in N 1.227 * [taylor]: Taking taylor expansion of N in N 1.229 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.229 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.229 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.229 * [taylor]: Taking taylor expansion of 1/3 in N 1.229 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.229 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.229 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.229 * [taylor]: Taking taylor expansion of N in N 1.229 * [taylor]: Taking taylor expansion of 1.0 in N 1.229 * [taylor]: Taking taylor expansion of N in N 1.265 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 1.265 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.265 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.265 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.265 * [taylor]: Taking taylor expansion of 1/3 in N 1.265 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.265 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.265 * [taylor]: Taking taylor expansion of N in N 1.265 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.265 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.265 * [taylor]: Taking taylor expansion of N in N 1.266 * [taylor]: Taking taylor expansion of 1.0 in N 1.275 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.275 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.275 * [taylor]: Taking taylor expansion of 1/3 in N 1.275 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.275 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.275 * [taylor]: Taking taylor expansion of N in N 1.275 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.275 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.275 * [taylor]: Taking taylor expansion of N in N 1.275 * [taylor]: Taking taylor expansion of 1.0 in N 1.299 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in (N) around 0 1.299 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.299 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.299 * [taylor]: Taking taylor expansion of -1 in N 1.300 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.300 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.300 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.300 * [taylor]: Taking taylor expansion of 1/3 in N 1.300 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.300 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.300 * [taylor]: Taking taylor expansion of N in N 1.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.300 * [taylor]: Taking taylor expansion of 1.0 in N 1.300 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.300 * [taylor]: Taking taylor expansion of N in N 1.305 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.305 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.305 * [taylor]: Taking taylor expansion of -1 in N 1.305 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.305 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.306 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.306 * [taylor]: Taking taylor expansion of 1/3 in N 1.306 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.306 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.306 * [taylor]: Taking taylor expansion of N in N 1.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.306 * [taylor]: Taking taylor expansion of 1.0 in N 1.306 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.306 * [taylor]: Taking taylor expansion of N in N 1.362 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.362 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 1.362 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.362 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.362 * [taylor]: Taking taylor expansion of 1/3 in N 1.362 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.362 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.362 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.362 * [taylor]: Taking taylor expansion of N in N 1.362 * [taylor]: Taking taylor expansion of 1.0 in N 1.362 * [taylor]: Taking taylor expansion of N in N 1.364 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.364 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.364 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.364 * [taylor]: Taking taylor expansion of 1/3 in N 1.364 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.364 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.364 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.364 * [taylor]: Taking taylor expansion of N in N 1.364 * [taylor]: Taking taylor expansion of 1.0 in N 1.364 * [taylor]: Taking taylor expansion of N in N 1.394 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 1.394 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.394 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.394 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.394 * [taylor]: Taking taylor expansion of 1/3 in N 1.394 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.394 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.394 * [taylor]: Taking taylor expansion of N in N 1.394 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.394 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.394 * [taylor]: Taking taylor expansion of N in N 1.394 * [taylor]: Taking taylor expansion of 1.0 in N 1.403 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.403 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.403 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.403 * [taylor]: Taking taylor expansion of 1/3 in N 1.403 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.403 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.404 * [taylor]: Taking taylor expansion of N in N 1.404 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.404 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.404 * [taylor]: Taking taylor expansion of N in N 1.404 * [taylor]: Taking taylor expansion of 1.0 in N 1.435 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in (N) around 0 1.435 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.435 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.435 * [taylor]: Taking taylor expansion of -1 in N 1.436 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.436 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.436 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.436 * [taylor]: Taking taylor expansion of 1/3 in N 1.436 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.436 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.436 * [taylor]: Taking taylor expansion of N in N 1.436 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.436 * [taylor]: Taking taylor expansion of 1.0 in N 1.436 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.436 * [taylor]: Taking taylor expansion of N in N 1.440 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.440 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.440 * [taylor]: Taking taylor expansion of -1 in N 1.441 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.441 * [taylor]: Taking taylor expansion of 1/3 in N 1.441 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.441 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.441 * [taylor]: Taking taylor expansion of N in N 1.441 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.441 * [taylor]: Taking taylor expansion of 1.0 in N 1.441 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.441 * [taylor]: Taking taylor expansion of N in N 1.490 * * * [progress]: simplifying candidates 1.492 * [simplify]: Simplifying using # : (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt 1)) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (log (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log 1) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (exp (log (cbrt (/ (+ N 1.0) N)))) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (* (* (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt 1)) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (log (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log 1) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (exp (log (cbrt (/ (+ N 1.0) N)))) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (* (* (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt 1) (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt 1) (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (cbrt -1)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (cbrt -1)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (* 0.05555555555555555 (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (* (pow -1 1/3) (/ (cbrt -1) N))) (* (pow -1 1/3) (cbrt -1))) (* 0.1111111111111111 (* (pow -1 1/3) (/ (cbrt -1) (pow N 2))))) (- (+ (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (* 0.05555555555555555 (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (* (pow -1 1/3) (/ (cbrt -1) N))) (* (pow -1 1/3) (cbrt -1))) (* 0.1111111111111111 (* (pow -1 1/3) (/ (cbrt -1) (pow N 2))))) 1.498 * * [simplify]: iteration 0 : 267 enodes (cost 1056 ) 1.502 * * [simplify]: iteration 1 : 755 enodes (cost 996 ) 1.517 * * [simplify]: iteration 2 : 3236 enodes (cost 966 ) 1.591 * * [simplify]: iteration 3 : 5001 enodes (cost 948 ) 1.595 * [simplify]: Simplified to: (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (* 2 (log (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (cbrt (/ (+ N 1.0) N)) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (pow (log (cbrt (/ (+ N 1.0) N))) 3) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (* 2 (log (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (cbrt (/ (+ N 1.0) N)) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (pow (log (cbrt (/ (+ N 1.0) N))) 3) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ N 1.0) N)) 1 (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ N 1.0) N)) 1 (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (- (+ (* 0.3333333333333333 N) (* 1/3 (- (log 1.0) (log N)))) (* 1/6 (/ (pow N 2) (pow 1.0 2)))) (+ (* (/ 1 (pow N 2)) (- (/ 0.1111111111111111 N) 0.16666666666666666)) (/ 0.3333333333333333 N)) (+ (* (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N))) (* 2/3 (log -1))) (- (+ (* 0.3333333333333333 N) (* 1/3 (- (log 1.0) (log N)))) (* 1/6 (/ (pow N 2) (pow 1.0 2)))) (+ (* (/ 1 (pow N 2)) (- (/ 0.1111111111111111 N) 0.16666666666666666)) (/ 0.3333333333333333 N)) (+ (* (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N))) (* 2/3 (log -1))) (- (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (pow N 2) 0.05555555555555555) (* 0.3333333333333333 N))) (- (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))) (exp (* 1/3 (- (log 1.0) (log N)))))) (+ (* (/ 1 N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) 1) (- (pow -1 2/3) (- (/ (* 0.1111111111111111 (pow -1 2/3)) (pow N 2)) (/ (* 0.3333333333333333 (pow -1 2/3)) N))) (- (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (pow N 2) 0.05555555555555555) (* 0.3333333333333333 N))) (- (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))) (exp (* 1/3 (- (log 1.0) (log N)))))) (+ (* (/ 1 N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) 1) (- (pow -1 2/3) (- (/ (* 0.1111111111111111 (pow -1 2/3)) (pow N 2)) (/ (* 0.3333333333333333 (pow -1 2/3)) N))) 1.596 * * * [progress]: adding candidates to table 1.961 * * [progress]: iteration 4 / 4 1.961 * * * [progress]: picking best candidate 1.969 * * * * [pick]: Picked # 1.969 * * * [progress]: localizing error 1.989 * * * [progress]: generating rewritten candidates 1.989 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.993 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.012 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1) 2.017 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 2.029 * * * [progress]: generating series expansions 2.029 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.029 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 2.029 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 2.029 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.029 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.029 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.029 * [taylor]: Taking taylor expansion of 1/3 in N 2.029 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.029 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.029 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.029 * [taylor]: Taking taylor expansion of N in N 2.030 * [taylor]: Taking taylor expansion of 1.0 in N 2.030 * [taylor]: Taking taylor expansion of N in N 2.032 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 2.033 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.033 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.033 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.033 * [taylor]: Taking taylor expansion of 1/3 in N 2.033 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.033 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.033 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.033 * [taylor]: Taking taylor expansion of N in N 2.033 * [taylor]: Taking taylor expansion of 1.0 in N 2.033 * [taylor]: Taking taylor expansion of N in N 2.063 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 2.063 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 2.063 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.063 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.063 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.063 * [taylor]: Taking taylor expansion of 1/3 in N 2.063 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.063 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.063 * [taylor]: Taking taylor expansion of N in N 2.063 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.063 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.063 * [taylor]: Taking taylor expansion of N in N 2.064 * [taylor]: Taking taylor expansion of 1.0 in N 2.073 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 2.073 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.073 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.073 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.073 * [taylor]: Taking taylor expansion of 1/3 in N 2.073 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.073 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.073 * [taylor]: Taking taylor expansion of N in N 2.073 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.073 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.073 * [taylor]: Taking taylor expansion of N in N 2.073 * [taylor]: Taking taylor expansion of 1.0 in N 2.148 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 2.149 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 2.149 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.149 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.149 * [taylor]: Taking taylor expansion of -1 in N 2.149 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.149 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.149 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.149 * [taylor]: Taking taylor expansion of 1/3 in N 2.149 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.149 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.149 * [taylor]: Taking taylor expansion of N in N 2.149 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.149 * [taylor]: Taking taylor expansion of 1.0 in N 2.150 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.150 * [taylor]: Taking taylor expansion of N in N 2.156 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 2.156 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.156 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.156 * [taylor]: Taking taylor expansion of -1 in N 2.157 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.157 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.157 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.157 * [taylor]: Taking taylor expansion of 1/3 in N 2.157 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.157 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.157 * [taylor]: Taking taylor expansion of N in N 2.157 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.157 * [taylor]: Taking taylor expansion of 1.0 in N 2.157 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.157 * [taylor]: Taking taylor expansion of N in N 2.236 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.236 * [approximate]: Taking taylor expansion of (+ (log (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3))) (log (pow (/ 1 N) 1/6))) in (N) around 0 2.236 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3))) (log (pow (/ 1 N) 1/6))) in N 2.236 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3))) in N 2.236 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in N 2.236 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 2.236 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 2.236 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 2.237 * [taylor]: Taking taylor expansion of 1/6 in N 2.237 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.237 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.237 * [taylor]: Taking taylor expansion of N in N 2.237 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 2.237 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 2.237 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 2.237 * [taylor]: Taking taylor expansion of 1/3 in N 2.237 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.237 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.238 * [taylor]: Taking taylor expansion of N in N 2.238 * [taylor]: Taking taylor expansion of 1.0 in N 2.246 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/6)) in N 2.246 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 2.246 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 2.246 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 2.246 * [taylor]: Taking taylor expansion of 1/6 in N 2.246 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.246 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.246 * [taylor]: Taking taylor expansion of N in N 2.247 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3))) (log (pow (/ 1 N) 1/6))) in N 2.247 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3))) in N 2.247 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in N 2.248 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 2.248 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 2.248 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 2.248 * [taylor]: Taking taylor expansion of 1/6 in N 2.248 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.248 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.248 * [taylor]: Taking taylor expansion of N in N 2.248 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 2.248 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 2.249 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 2.249 * [taylor]: Taking taylor expansion of 1/3 in N 2.249 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.249 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.249 * [taylor]: Taking taylor expansion of N in N 2.249 * [taylor]: Taking taylor expansion of 1.0 in N 2.251 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/6)) in N 2.251 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 2.251 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 2.251 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 2.251 * [taylor]: Taking taylor expansion of 1/6 in N 2.251 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.252 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.252 * [taylor]: Taking taylor expansion of N in N 2.317 * [approximate]: Taking taylor expansion of (+ (log (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3))) (log (pow N 1/6))) in (N) around 0 2.317 * [taylor]: Taking taylor expansion of (+ (log (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3))) (log (pow N 1/6))) in N 2.317 * [taylor]: Taking taylor expansion of (log (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3))) in N 2.317 * [taylor]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in N 2.317 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 2.317 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 2.317 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 2.317 * [taylor]: Taking taylor expansion of 1/6 in N 2.317 * [taylor]: Taking taylor expansion of (log N) in N 2.318 * [taylor]: Taking taylor expansion of N in N 2.318 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 2.318 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 2.318 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 2.318 * [taylor]: Taking taylor expansion of 1/3 in N 2.318 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.318 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.318 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.318 * [taylor]: Taking taylor expansion of N in N 2.319 * [taylor]: Taking taylor expansion of 1.0 in N 2.320 * [taylor]: Taking taylor expansion of (log (pow N 1/6)) in N 2.320 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 2.320 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 2.320 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 2.320 * [taylor]: Taking taylor expansion of 1/6 in N 2.320 * [taylor]: Taking taylor expansion of (log N) in N 2.320 * [taylor]: Taking taylor expansion of N in N 2.320 * [taylor]: Taking taylor expansion of (+ (log (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3))) (log (pow N 1/6))) in N 2.320 * [taylor]: Taking taylor expansion of (log (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3))) in N 2.320 * [taylor]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in N 2.320 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 2.320 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 2.320 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 2.320 * [taylor]: Taking taylor expansion of 1/6 in N 2.320 * [taylor]: Taking taylor expansion of (log N) in N 2.320 * [taylor]: Taking taylor expansion of N in N 2.321 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 2.321 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 2.321 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 2.321 * [taylor]: Taking taylor expansion of 1/3 in N 2.321 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.321 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.321 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.321 * [taylor]: Taking taylor expansion of N in N 2.321 * [taylor]: Taking taylor expansion of 1.0 in N 2.322 * [taylor]: Taking taylor expansion of (log (pow N 1/6)) in N 2.323 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 2.323 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 2.323 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 2.323 * [taylor]: Taking taylor expansion of 1/6 in N 2.323 * [taylor]: Taking taylor expansion of (log N) in N 2.323 * [taylor]: Taking taylor expansion of N in N 2.361 * [approximate]: Taking taylor expansion of (+ (log (pow (/ 1 (sqrt (/ -1 N))) 1/3)) (log (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3))) in (N) around 0 2.361 * [taylor]: Taking taylor expansion of (+ (log (pow (/ 1 (sqrt (/ -1 N))) 1/3)) (log (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3))) in N 2.361 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (sqrt (/ -1 N))) 1/3)) in N 2.361 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 N))) 1/3) in N 2.361 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt (/ -1 N)))))) in N 2.361 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt (/ -1 N))))) in N 2.361 * [taylor]: Taking taylor expansion of 1/3 in N 2.361 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 2.361 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.361 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.361 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.361 * [taylor]: Taking taylor expansion of -1 in N 2.361 * [taylor]: Taking taylor expansion of N in N 2.366 * [taylor]: Taking taylor expansion of (log (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3)) in N 2.366 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in N 2.366 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))))) in N 2.366 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))))) in N 2.366 * [taylor]: Taking taylor expansion of 1/3 in N 2.366 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 2.366 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 2.366 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.366 * [taylor]: Taking taylor expansion of 1.0 in N 2.366 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.366 * [taylor]: Taking taylor expansion of N in N 2.366 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.366 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.366 * [taylor]: Taking taylor expansion of -1 in N 2.366 * [taylor]: Taking taylor expansion of N in N 2.370 * [taylor]: Taking taylor expansion of (+ (log (pow (/ 1 (sqrt (/ -1 N))) 1/3)) (log (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3))) in N 2.370 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (sqrt (/ -1 N))) 1/3)) in N 2.370 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 N))) 1/3) in N 2.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt (/ -1 N)))))) in N 2.370 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt (/ -1 N))))) in N 2.370 * [taylor]: Taking taylor expansion of 1/3 in N 2.370 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 2.370 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.370 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.370 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.370 * [taylor]: Taking taylor expansion of -1 in N 2.370 * [taylor]: Taking taylor expansion of N in N 2.374 * [taylor]: Taking taylor expansion of (log (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3)) in N 2.374 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in N 2.374 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))))) in N 2.374 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))))) in N 2.374 * [taylor]: Taking taylor expansion of 1/3 in N 2.374 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 2.374 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 2.374 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.374 * [taylor]: Taking taylor expansion of 1.0 in N 2.374 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.374 * [taylor]: Taking taylor expansion of N in N 2.374 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.374 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.374 * [taylor]: Taking taylor expansion of -1 in N 2.374 * [taylor]: Taking taylor expansion of N in N 2.479 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1) 2.479 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in (N) around 0 2.479 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in N 2.479 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 2.479 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 2.479 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 2.479 * [taylor]: Taking taylor expansion of 1/6 in N 2.479 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.479 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.479 * [taylor]: Taking taylor expansion of N in N 2.480 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 2.480 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 2.480 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 2.480 * [taylor]: Taking taylor expansion of 1/3 in N 2.480 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.480 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.480 * [taylor]: Taking taylor expansion of N in N 2.480 * [taylor]: Taking taylor expansion of 1.0 in N 2.482 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in N 2.482 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 2.482 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 2.482 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 2.482 * [taylor]: Taking taylor expansion of 1/6 in N 2.482 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.482 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.482 * [taylor]: Taking taylor expansion of N in N 2.483 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 2.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 2.483 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 2.483 * [taylor]: Taking taylor expansion of 1/3 in N 2.483 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.483 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.483 * [taylor]: Taking taylor expansion of N in N 2.483 * [taylor]: Taking taylor expansion of 1.0 in N 2.533 * [approximate]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in (N) around 0 2.533 * [taylor]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in N 2.533 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 2.533 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 2.533 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 2.533 * [taylor]: Taking taylor expansion of 1/6 in N 2.533 * [taylor]: Taking taylor expansion of (log N) in N 2.533 * [taylor]: Taking taylor expansion of N in N 2.534 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 2.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 2.534 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 2.534 * [taylor]: Taking taylor expansion of 1/3 in N 2.534 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.534 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.534 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.534 * [taylor]: Taking taylor expansion of N in N 2.535 * [taylor]: Taking taylor expansion of 1.0 in N 2.535 * [taylor]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in N 2.535 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 2.535 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 2.535 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 2.535 * [taylor]: Taking taylor expansion of 1/6 in N 2.535 * [taylor]: Taking taylor expansion of (log N) in N 2.535 * [taylor]: Taking taylor expansion of N in N 2.536 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 2.536 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 2.536 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 2.536 * [taylor]: Taking taylor expansion of 1/3 in N 2.536 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.536 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.536 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.536 * [taylor]: Taking taylor expansion of N in N 2.537 * [taylor]: Taking taylor expansion of 1.0 in N 2.561 * [approximate]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in (N) around 0 2.561 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in N 2.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))))) in N 2.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))))) in N 2.561 * [taylor]: Taking taylor expansion of 1/3 in N 2.561 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 2.561 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 2.562 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.562 * [taylor]: Taking taylor expansion of 1.0 in N 2.562 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.562 * [taylor]: Taking taylor expansion of N in N 2.562 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.562 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.562 * [taylor]: Taking taylor expansion of -1 in N 2.562 * [taylor]: Taking taylor expansion of N in N 2.565 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in N 2.565 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))))) in N 2.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))))) in N 2.566 * [taylor]: Taking taylor expansion of 1/3 in N 2.566 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 2.566 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 2.566 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.566 * [taylor]: Taking taylor expansion of 1.0 in N 2.566 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.566 * [taylor]: Taking taylor expansion of N in N 2.566 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.566 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.566 * [taylor]: Taking taylor expansion of -1 in N 2.566 * [taylor]: Taking taylor expansion of N in N 2.612 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 2.612 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/6) in (N) around 0 2.612 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 2.612 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 2.612 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 2.612 * [taylor]: Taking taylor expansion of 1/6 in N 2.612 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.612 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.612 * [taylor]: Taking taylor expansion of N in N 2.613 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 2.613 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 2.613 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 2.613 * [taylor]: Taking taylor expansion of 1/6 in N 2.613 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.613 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.613 * [taylor]: Taking taylor expansion of N in N 2.665 * [approximate]: Taking taylor expansion of (pow N 1/6) in (N) around 0 2.665 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 2.665 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 2.665 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 2.665 * [taylor]: Taking taylor expansion of 1/6 in N 2.665 * [taylor]: Taking taylor expansion of (log N) in N 2.665 * [taylor]: Taking taylor expansion of N in N 2.665 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 2.665 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 2.665 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 2.665 * [taylor]: Taking taylor expansion of 1/6 in N 2.665 * [taylor]: Taking taylor expansion of (log N) in N 2.665 * [taylor]: Taking taylor expansion of N in N 2.720 * [approximate]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 N))) 1/3) in (N) around 0 2.720 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 N))) 1/3) in N 2.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt (/ -1 N)))))) in N 2.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt (/ -1 N))))) in N 2.720 * [taylor]: Taking taylor expansion of 1/3 in N 2.720 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 2.720 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.720 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.720 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.721 * [taylor]: Taking taylor expansion of -1 in N 2.721 * [taylor]: Taking taylor expansion of N in N 2.724 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 N))) 1/3) in N 2.724 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt (/ -1 N)))))) in N 2.724 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt (/ -1 N))))) in N 2.724 * [taylor]: Taking taylor expansion of 1/3 in N 2.724 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 2.724 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.724 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.724 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.724 * [taylor]: Taking taylor expansion of -1 in N 2.724 * [taylor]: Taking taylor expansion of N in N 2.771 * * * [progress]: simplifying candidates 2.775 * [simplify]: Simplifying using # : (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt 1)) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (log (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log 1) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (exp (log (cbrt (/ (+ N 1.0) N)))) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (* (* (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (* (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (log (+ (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))))) (exp (+ (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))))) (* (cbrt (+ (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))))) (cbrt (+ (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N))))))) (cbrt (+ (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))))) (* (* (+ (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N))))) (+ (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))))) (sqrt (+ (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))))) (sqrt (+ (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (pow (log (cbrt (/ 1 (sqrt N)))) 3) (pow (log (cbrt (/ (+ N 1.0) (sqrt N)))) 3)) (+ (* (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ 1 (sqrt N))))) (- (* (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N))))) (* (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N))))))) (- (* (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ 1 (sqrt N))))) (* (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))))) (- (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N))))) (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N))))) (+ (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N))))) (+ (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N))))) (+ (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N))))) (+ (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))))))) (+ (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (sqrt (/ (+ N 1.0) (sqrt N)))))) (+ (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))))) (+ (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (* (cbrt N) (cbrt N))))))) (+ (log (cbrt (/ 1 (sqrt N)))) 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-1 N))))) N))) (* +nan.0 (/ (exp (* 1/3 (- (log +nan.0) (log (/ -1 N))))) (pow N 2)))) (pow N -1/6) (pow (/ 1 N) 1/6) (* (pow +nan.0 1/3) (- 1 (- (* +nan.0 (/ 1 N)) (* +nan.0 (/ 1 (pow N 2)))))) 2.834 * * * [progress]: adding candidates to table 3.519 * [progress]: [Phase 3 of 3] Extracting. 3.519 * * [regime]: Finding splitpoints for: (# # # #) 3.520 * * * [regime-changes]: Trying 2 branch expressions: ((- (log (+ N 1.0)) (log N)) N) 3.520 * * * * [regimes]: Trying to branch on (- (log (+ N 1.0)) (log N)) from (# # # #) 3.550 * * * * [regimes]: Trying to branch on N from (# # # #) 3.576 * * * [regime]: Found split indices: #