14.754 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.045 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.046 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.047 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.048 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.048 * * [progress]: iteration 1 / 4 0.048 * * * [progress]: picking best candidate 0.049 * * * * [pick]: Picked # 0.049 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.059 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.071 * * * [progress]: generating series expansions 0.071 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.071 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.071 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.071 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.071 * [taylor]: Taking taylor expansion of N in N 0.071 * [taylor]: Taking taylor expansion of 1.0 in N 0.072 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.072 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.072 * [taylor]: Taking taylor expansion of 1.0 in N 0.085 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.085 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.085 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.085 * [taylor]: Taking taylor expansion of N in N 0.085 * [taylor]: Taking taylor expansion of 1.0 in N 0.086 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.086 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.086 * [taylor]: Taking taylor expansion of N in N 0.086 * [taylor]: Taking taylor expansion of 1.0 in N 0.098 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.099 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.099 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.099 * [taylor]: Taking taylor expansion of 1.0 in N 0.099 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.099 * [taylor]: Taking taylor expansion of N in N 0.100 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.100 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.100 * [taylor]: Taking taylor expansion of 1.0 in N 0.100 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.100 * [taylor]: Taking taylor expansion of N in N 0.114 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.114 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.114 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.114 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.114 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.114 * [taylor]: Taking taylor expansion of N in N 0.114 * [taylor]: Taking taylor expansion of 1.0 in N 0.115 * [taylor]: Taking taylor expansion of (log N) in N 0.115 * [taylor]: Taking taylor expansion of N in N 0.115 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.115 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.115 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.115 * [taylor]: Taking taylor expansion of N in N 0.115 * [taylor]: Taking taylor expansion of 1.0 in N 0.116 * [taylor]: Taking taylor expansion of (log N) in N 0.116 * [taylor]: Taking taylor expansion of N in N 0.135 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.135 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.135 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.135 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.135 * [taylor]: Taking taylor expansion of N in N 0.135 * [taylor]: Taking taylor expansion of 1.0 in N 0.136 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.136 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.136 * [taylor]: Taking taylor expansion of N in N 0.136 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.136 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.136 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.136 * [taylor]: Taking taylor expansion of N in N 0.137 * [taylor]: Taking taylor expansion of 1.0 in N 0.137 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.173 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.173 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.173 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.174 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.174 * [taylor]: Taking taylor expansion of 1.0 in N 0.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.175 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.175 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.175 * [taylor]: Taking taylor expansion of -1 in N 0.175 * [taylor]: Taking taylor expansion of N in N 0.175 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.175 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.175 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.175 * [taylor]: Taking taylor expansion of 1.0 in N 0.175 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.175 * [taylor]: Taking taylor expansion of N in N 0.176 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.176 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.176 * [taylor]: Taking taylor expansion of -1 in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.211 * * * [progress]: simplifying candidates 0.212 * [simplify]: Simplifying using # : (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (/ (+ N 1.0) (exp (log N))) (/ (exp (log (+ N 1.0))) N) (/ (exp (log (+ N 1.0))) (exp (log N))) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.216 * * [simplify]: iteration 0 : 211 enodes (cost 284 ) 0.219 * * [simplify]: iteration 1 : 560 enodes (cost 270 ) 0.228 * * [simplify]: iteration 2 : 1900 enodes (cost 258 ) 0.262 * * [simplify]: iteration 3 : 5002 enodes (cost 255 ) 0.264 * [simplify]: Simplified to: (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* 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))) (/ (+ N 1.0) N) (/ (+ N 1.0) N) (/ (+ N 1.0) N) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (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)) (- (+ (* 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))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3))))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3))))) 0.264 * * * [progress]: adding candidates to table 0.347 * * [progress]: iteration 2 / 4 0.347 * * * [progress]: picking best candidate 0.352 * * * * [pick]: Picked # 0.352 * * * [progress]: localizing error 0.356 * * * [progress]: generating rewritten candidates 0.356 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.364 * * * [progress]: generating series expansions 0.364 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.364 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.364 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.364 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.364 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.364 * [taylor]: Taking taylor expansion of N in N 0.364 * [taylor]: Taking taylor expansion of 1.0 in N 0.364 * [taylor]: Taking taylor expansion of N in N 0.365 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.365 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.365 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.365 * [taylor]: Taking taylor expansion of N in N 0.365 * [taylor]: Taking taylor expansion of 1.0 in N 0.365 * [taylor]: Taking taylor expansion of N in N 0.379 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.379 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.379 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.379 * [taylor]: Taking taylor expansion of N in N 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.379 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.379 * [taylor]: Taking taylor expansion of N in N 0.380 * [taylor]: Taking taylor expansion of 1.0 in N 0.382 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.382 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.382 * [taylor]: Taking taylor expansion of N in N 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.382 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.382 * [taylor]: Taking taylor expansion of N in N 0.382 * [taylor]: Taking taylor expansion of 1.0 in N 0.412 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.412 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.412 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.412 * [taylor]: Taking taylor expansion of -1 in N 0.412 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.412 * [taylor]: Taking taylor expansion of N in N 0.412 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.412 * [taylor]: Taking taylor expansion of 1.0 in N 0.412 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.413 * [taylor]: Taking taylor expansion of N in N 0.416 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.416 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.416 * [taylor]: Taking taylor expansion of -1 in N 0.416 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.416 * [taylor]: Taking taylor expansion of N in N 0.416 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.416 * [taylor]: Taking taylor expansion of 1.0 in N 0.416 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.416 * [taylor]: Taking taylor expansion of N in N 0.450 * * * [progress]: simplifying candidates 0.451 * [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))) (log (- N)) (log 1) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (/ (+ N 1.0) 1)) (log N) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) (log 1) (log (/ N (+ N 1.0))) (log 1) (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (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))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.455 * * [simplify]: iteration 0 : 228 enodes (cost 287 ) 0.458 * * [simplify]: iteration 1 : 635 enodes (cost 267 ) 0.468 * * [simplify]: iteration 2 : 2602 enodes (cost 259 ) 0.523 * * [simplify]: iteration 3 : 5002 enodes (cost 259 ) 0.525 * [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))) (log (- N)) 0 (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (+ N 1.0)) (log N) (* 2 (log (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) 0 (log (/ N (+ N 1.0))) 0 (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (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))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3))))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3))))) 0.525 * * * [progress]: adding candidates to table 0.582 * * [progress]: iteration 3 / 4 0.583 * * * [progress]: picking best candidate 0.586 * * * * [pick]: Picked # 0.586 * * * [progress]: localizing error 0.594 * * * [progress]: generating rewritten candidates 0.595 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.601 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.608 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.614 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.626 * * * [progress]: generating series expansions 0.626 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.626 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 0.626 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.626 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.626 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.626 * [taylor]: Taking taylor expansion of 1/3 in N 0.626 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.626 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.626 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.626 * [taylor]: Taking taylor expansion of N in N 0.626 * [taylor]: Taking taylor expansion of 1.0 in N 0.626 * [taylor]: Taking taylor expansion of N in N 0.629 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.629 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.629 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.629 * [taylor]: Taking taylor expansion of 1/3 in N 0.629 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.629 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.629 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.629 * [taylor]: Taking taylor expansion of N in N 0.629 * [taylor]: Taking taylor expansion of 1.0 in N 0.629 * [taylor]: Taking taylor expansion of N in N 0.665 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 0.665 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.665 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.665 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.665 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.665 * [taylor]: Taking taylor expansion of 1/3 in N 0.665 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.665 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.665 * [taylor]: Taking taylor expansion of N in N 0.665 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.665 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.665 * [taylor]: Taking taylor expansion of N in N 0.666 * [taylor]: Taking taylor expansion of 1.0 in N 0.676 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.676 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.676 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.676 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.676 * [taylor]: Taking taylor expansion of 1/3 in N 0.676 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.676 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.676 * [taylor]: Taking taylor expansion of N in N 0.676 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.676 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.676 * [taylor]: Taking taylor expansion of N in N 0.676 * [taylor]: Taking taylor expansion of 1.0 in N 0.753 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 0.753 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 0.753 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.753 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.753 * [taylor]: Taking taylor expansion of -1 in N 0.754 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.754 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.754 * [taylor]: Taking taylor expansion of 1/3 in N 0.754 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.754 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.754 * [taylor]: Taking taylor expansion of N in N 0.754 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.754 * [taylor]: Taking taylor expansion of 1.0 in N 0.754 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.754 * [taylor]: Taking taylor expansion of N in N 0.761 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 0.761 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.761 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.761 * [taylor]: Taking taylor expansion of -1 in N 0.762 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.762 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.762 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.762 * [taylor]: Taking taylor expansion of 1/3 in N 0.762 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.762 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.762 * [taylor]: Taking taylor expansion of N in N 0.762 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.762 * [taylor]: Taking taylor expansion of 1.0 in N 0.762 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.762 * [taylor]: Taking taylor expansion of N in N 0.846 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.846 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 0.846 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.846 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.846 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.846 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.846 * [taylor]: Taking taylor expansion of 1/3 in N 0.846 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.846 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.846 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.846 * [taylor]: Taking taylor expansion of N in N 0.846 * [taylor]: Taking taylor expansion of 1.0 in N 0.846 * [taylor]: Taking taylor expansion of N in N 0.849 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.849 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.849 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.849 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.849 * [taylor]: Taking taylor expansion of 1/3 in N 0.849 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.849 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.849 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.849 * [taylor]: Taking taylor expansion of N in N 0.849 * [taylor]: Taking taylor expansion of 1.0 in N 0.849 * [taylor]: Taking taylor expansion of N in N 0.880 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 0.880 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.880 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.880 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.880 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.880 * [taylor]: Taking taylor expansion of 1/3 in N 0.880 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.880 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.880 * [taylor]: Taking taylor expansion of N in N 0.880 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.880 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.880 * [taylor]: Taking taylor expansion of N in N 0.880 * [taylor]: Taking taylor expansion of 1.0 in N 0.890 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.890 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.890 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.890 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.890 * [taylor]: Taking taylor expansion of 1/3 in N 0.890 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.890 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.890 * [taylor]: Taking taylor expansion of N in N 0.890 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.890 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.890 * [taylor]: Taking taylor expansion of N in N 0.890 * [taylor]: Taking taylor expansion of 1.0 in N 0.968 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 0.968 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 0.969 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.969 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.969 * [taylor]: Taking taylor expansion of -1 in N 0.969 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.969 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.969 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.969 * [taylor]: Taking taylor expansion of 1/3 in N 0.969 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.969 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.969 * [taylor]: Taking taylor expansion of N in N 0.969 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.969 * [taylor]: Taking taylor expansion of 1.0 in N 0.969 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.970 * [taylor]: Taking taylor expansion of N in N 0.984 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 0.984 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.984 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.984 * [taylor]: Taking taylor expansion of -1 in N 0.985 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.985 * [taylor]: Taking taylor expansion of 1/3 in N 0.985 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.985 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.985 * [taylor]: Taking taylor expansion of N in N 0.985 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.985 * [taylor]: Taking taylor expansion of 1.0 in N 0.985 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.985 * [taylor]: Taking taylor expansion of N in N 1.068 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.068 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 1.068 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.068 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.068 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.068 * [taylor]: Taking taylor expansion of 1/3 in N 1.068 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.068 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.068 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.068 * [taylor]: Taking taylor expansion of N in N 1.068 * [taylor]: Taking taylor expansion of 1.0 in N 1.068 * [taylor]: Taking taylor expansion of N in N 1.070 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.070 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.070 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.070 * [taylor]: Taking taylor expansion of 1/3 in N 1.070 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.070 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.070 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.070 * [taylor]: Taking taylor expansion of N in N 1.070 * [taylor]: Taking taylor expansion of 1.0 in N 1.070 * [taylor]: Taking taylor expansion of N in N 1.101 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 1.101 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.101 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.101 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.101 * [taylor]: Taking taylor expansion of 1/3 in N 1.101 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.101 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.101 * [taylor]: Taking taylor expansion of N in N 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.101 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.101 * [taylor]: Taking taylor expansion of N in N 1.101 * [taylor]: Taking taylor expansion of 1.0 in N 1.111 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.111 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.111 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.111 * [taylor]: Taking taylor expansion of 1/3 in N 1.111 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.111 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.111 * [taylor]: Taking taylor expansion of N in N 1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.111 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.111 * [taylor]: Taking taylor expansion of N in N 1.111 * [taylor]: Taking taylor expansion of 1.0 in N 1.142 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in (N) around 0 1.143 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.143 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.143 * [taylor]: Taking taylor expansion of -1 in N 1.143 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.143 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.143 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.143 * [taylor]: Taking taylor expansion of 1/3 in N 1.143 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.143 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.143 * [taylor]: Taking taylor expansion of N in N 1.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.144 * [taylor]: Taking taylor expansion of 1.0 in N 1.144 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.144 * [taylor]: Taking taylor expansion of N in N 1.148 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.148 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.148 * [taylor]: Taking taylor expansion of -1 in N 1.149 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.149 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.149 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.149 * [taylor]: Taking taylor expansion of 1/3 in N 1.149 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.149 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.149 * [taylor]: Taking taylor expansion of N in N 1.149 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.149 * [taylor]: Taking taylor expansion of 1.0 in N 1.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.149 * [taylor]: Taking taylor expansion of N in N 1.200 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.200 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 1.200 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.200 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.200 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.200 * [taylor]: Taking taylor expansion of 1/3 in N 1.200 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.200 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.200 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.200 * [taylor]: Taking taylor expansion of N in N 1.200 * [taylor]: Taking taylor expansion of 1.0 in N 1.200 * [taylor]: Taking taylor expansion of N in N 1.202 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.202 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.202 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.202 * [taylor]: Taking taylor expansion of 1/3 in N 1.202 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.202 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.202 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.202 * [taylor]: Taking taylor expansion of N in N 1.202 * [taylor]: Taking taylor expansion of 1.0 in N 1.202 * [taylor]: Taking taylor expansion of N in N 1.238 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 1.238 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.238 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.238 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.238 * [taylor]: Taking taylor expansion of 1/3 in N 1.238 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.238 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.238 * [taylor]: Taking taylor expansion of N in N 1.238 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.238 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.238 * [taylor]: Taking taylor expansion of N in N 1.238 * [taylor]: Taking taylor expansion of 1.0 in N 1.248 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.248 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.248 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.248 * [taylor]: Taking taylor expansion of 1/3 in N 1.248 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.248 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.248 * [taylor]: Taking taylor expansion of N in N 1.248 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.248 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.248 * [taylor]: Taking taylor expansion of N in N 1.249 * [taylor]: Taking taylor expansion of 1.0 in N 1.274 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in (N) around 0 1.274 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.274 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.274 * [taylor]: Taking taylor expansion of -1 in N 1.275 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.275 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.275 * [taylor]: Taking taylor expansion of 1/3 in N 1.275 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.275 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.275 * [taylor]: Taking taylor expansion of N in N 1.275 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.275 * [taylor]: Taking taylor expansion of 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 1.279 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.279 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.279 * [taylor]: Taking taylor expansion of -1 in N 1.280 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.280 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.280 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.280 * [taylor]: Taking taylor expansion of 1/3 in N 1.280 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.280 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.280 * [taylor]: Taking taylor expansion of N in N 1.280 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.280 * [taylor]: Taking taylor expansion of 1.0 in N 1.280 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.280 * [taylor]: Taking taylor expansion of N in N 1.337 * * * [progress]: simplifying candidates 1.339 * [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 (cbrt (- (+ N 1.0)))) (log (cbrt (- N))) (log (cbrt 1)) (log (cbrt (/ N (+ N 1.0)))) (log (cbrt (/ (+ N 1.0) (* (cbrt N) (cbrt N))))) (log (cbrt (cbrt N))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (sqrt N))) (log (cbrt (/ (+ N 1.0) 1))) (log (cbrt N)) (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (cbrt (/ N (cbrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (cbrt (/ N (sqrt (+ N 1.0))))) (log (cbrt 1)) (log (cbrt (/ N (+ N 1.0)))) (log (cbrt 1)) (log (cbrt (/ N (+ N 1.0)))) (log (cbrt (+ (pow N 3) (pow 1.0 3)))) (log (cbrt (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (log (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (* N (- N 1.0)))) (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 (cbrt (- (+ N 1.0)))) (log (cbrt (- N))) (log (cbrt 1)) (log (cbrt (/ N (+ N 1.0)))) (log (cbrt (/ (+ N 1.0) (* (cbrt N) (cbrt N))))) (log (cbrt (cbrt N))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (sqrt N))) (log (cbrt (/ (+ N 1.0) 1))) (log (cbrt N)) (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (cbrt (/ N (cbrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (cbrt (/ N (sqrt (+ N 1.0))))) (log (cbrt 1)) (log (cbrt (/ N (+ N 1.0)))) (log (cbrt 1)) (log (cbrt (/ N (+ N 1.0)))) (log (cbrt (+ (pow N 3) (pow 1.0 3)))) (log (cbrt (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (log (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (* N (- N 1.0)))) (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 (- (+ N 1.0))) (cbrt (- N)) (cbrt 1) (cbrt (/ N (+ N 1.0))) (cbrt (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (/ (+ N 1.0) 1)) (cbrt N) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (/ N (cbrt (+ N 1.0)))) (cbrt (sqrt (+ N 1.0))) (cbrt (/ N (sqrt (+ N 1.0)))) (cbrt 1) (cbrt (/ N (+ N 1.0))) (cbrt 1) (cbrt (/ N (+ N 1.0))) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (* N (- N 1.0))) (* (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 (- (+ N 1.0))) (cbrt (- N)) (cbrt 1) (cbrt (/ N (+ N 1.0))) (cbrt (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (/ (+ N 1.0) 1)) (cbrt N) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (/ N (cbrt (+ N 1.0)))) (cbrt (sqrt (+ N 1.0))) (cbrt (/ N (sqrt (+ N 1.0)))) (cbrt 1) (cbrt (/ N (+ N 1.0))) (cbrt 1) (cbrt (/ N (+ N 1.0))) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (* N (- N 1.0))) (* (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))))) 1.347 * * [simplify]: iteration 0 : 339 enodes (cost 1368 ) 1.352 * * [simplify]: iteration 1 : 928 enodes (cost 1308 ) 1.368 * * [simplify]: iteration 2 : 3794 enodes (cost 1280 ) 1.450 * * [simplify]: iteration 3 : 5001 enodes (cost 1244 ) 1.457 * [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))))) (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)))) (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 (cbrt (- (+ N 1.0)))) (log (cbrt (- N))) 0 (log (cbrt (/ N (+ N 1.0)))) (log (cbrt (/ (+ N 1.0) (* (cbrt N) (cbrt N))))) (log (cbrt (cbrt N))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (sqrt N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (cbrt (/ N (cbrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (cbrt (/ N (sqrt (+ N 1.0))))) 0 (log (cbrt (/ N (+ N 1.0)))) 0 (log (cbrt (/ N (+ N 1.0)))) (log (cbrt (+ (pow N 3) (pow 1.0 3)))) (log (cbrt (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (log (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (* N (- N 1.0)))) (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))))) (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)))) (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 (cbrt (- (+ N 1.0)))) (log (cbrt (- N))) 0 (log (cbrt (/ N (+ N 1.0)))) (log (cbrt (/ (+ N 1.0) (* (cbrt N) (cbrt N))))) (log (cbrt (cbrt N))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (sqrt N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (cbrt (/ N (cbrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (cbrt (/ N (sqrt (+ N 1.0))))) 0 (log (cbrt (/ N (+ N 1.0)))) 0 (log (cbrt (/ N (+ N 1.0)))) (log (cbrt (+ (pow N 3) (pow 1.0 3)))) (log (cbrt (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (log (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (* N (- N 1.0)))) (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)))) (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))) (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 (- (+ N 1.0))) (cbrt (- N)) 1 (cbrt (/ N (+ N 1.0))) (cbrt (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (/ N (cbrt (+ N 1.0)))) (cbrt (sqrt (+ N 1.0))) (cbrt (/ N (sqrt (+ N 1.0)))) 1 (cbrt (/ N (+ N 1.0))) 1 (cbrt (/ N (+ N 1.0))) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (* N (- N 1.0))) (* (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)))) (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))) (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 (- (+ N 1.0))) (cbrt (- N)) 1 (cbrt (/ N (+ N 1.0))) (cbrt (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (/ N (cbrt (+ N 1.0)))) (cbrt (sqrt (+ N 1.0))) (cbrt (/ N (sqrt (+ N 1.0)))) 1 (cbrt (/ N (+ N 1.0))) 1 (cbrt (/ N (+ N 1.0))) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (* N (- N 1.0))) (* (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 N) (- (/ (/ 0.1111111111111111 N) N) (/ 0.16666666666666666 N))) (/ 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 N) (- (/ (/ 0.1111111111111111 N) N) (/ 0.16666666666666666 N))) (/ 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))) 1.458 * * * [progress]: adding candidates to table 1.828 * * [progress]: iteration 4 / 4 1.828 * * * [progress]: picking best candidate 1.834 * * * * [pick]: Picked # 1.834 * * * [progress]: localizing error 1.859 * * * [progress]: generating rewritten candidates 1.859 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.917 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.924 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.951 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 2) 2.011 * * * [progress]: generating series expansions 2.011 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.012 * [approximate]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/9) (pow (+ N 1.0) 1/6))) (log (* (pow (/ 1 N) 1/9) (pow (+ N 1.0) 1/6)))) in (N) around 0 2.012 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/9) (pow (+ N 1.0) 1/6))) (log (* (pow (/ 1 N) 1/9) (pow (+ N 1.0) 1/6)))) in N 2.012 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/9) (pow (+ N 1.0) 1/6))) in N 2.012 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/9) (pow (+ N 1.0) 1/6)) in N 2.012 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/9) in N 2.012 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow N 2))))) in N 2.012 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow N 2)))) in N 2.012 * [taylor]: Taking taylor expansion of 1/9 in N 2.012 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 2.012 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.012 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.012 * [taylor]: Taking taylor expansion of N in N 2.014 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/6) in N 2.014 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ N 1.0)))) in N 2.014 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ N 1.0))) in N 2.014 * [taylor]: Taking taylor expansion of 1/6 in N 2.014 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.014 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.014 * [taylor]: Taking taylor expansion of N in N 2.014 * [taylor]: Taking taylor expansion of 1.0 in N 2.017 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/9) (pow (+ N 1.0) 1/6))) in N 2.017 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/9) (pow (+ N 1.0) 1/6)) in N 2.017 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 2.017 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 2.017 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 2.017 * [taylor]: Taking taylor expansion of 1/9 in N 2.017 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.017 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.017 * [taylor]: Taking taylor expansion of N in N 2.018 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/6) in N 2.018 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ N 1.0)))) in N 2.018 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ N 1.0))) in N 2.018 * [taylor]: Taking taylor expansion of 1/6 in N 2.018 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.018 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.018 * [taylor]: Taking taylor expansion of N in N 2.018 * [taylor]: Taking taylor expansion of 1.0 in N 2.021 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/9) (pow (+ N 1.0) 1/6))) (log (* (pow (/ 1 N) 1/9) (pow (+ N 1.0) 1/6)))) in N 2.021 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/9) (pow (+ N 1.0) 1/6))) in N 2.021 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/9) (pow (+ N 1.0) 1/6)) in N 2.021 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/9) in N 2.021 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow N 2))))) in N 2.021 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow N 2)))) in N 2.021 * [taylor]: Taking taylor expansion of 1/9 in N 2.021 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 2.021 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.021 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.021 * [taylor]: Taking taylor expansion of N in N 2.022 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/6) in N 2.023 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ N 1.0)))) in N 2.023 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ N 1.0))) in N 2.023 * [taylor]: Taking taylor expansion of 1/6 in N 2.023 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.023 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.023 * [taylor]: Taking taylor expansion of N in N 2.023 * [taylor]: Taking taylor expansion of 1.0 in N 2.026 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/9) (pow (+ N 1.0) 1/6))) in N 2.026 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/9) (pow (+ N 1.0) 1/6)) in N 2.026 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 2.026 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 2.026 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 2.026 * [taylor]: Taking taylor expansion of 1/9 in N 2.026 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.026 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.026 * [taylor]: Taking taylor expansion of N in N 2.027 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/6) in N 2.027 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ N 1.0)))) in N 2.027 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ N 1.0))) in N 2.027 * [taylor]: Taking taylor expansion of 1/6 in N 2.027 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.027 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.027 * [taylor]: Taking taylor expansion of N in N 2.027 * [taylor]: Taking taylor expansion of 1.0 in N 2.144 * [approximate]: Taking taylor expansion of (+ (log (* (pow N 1/9) (pow (+ (/ 1 N) 1.0) 1/6))) (log (* (pow (pow N 2) 1/9) (pow (+ (/ 1 N) 1.0) 1/6)))) in (N) around 0 2.144 * [taylor]: Taking taylor expansion of (+ (log (* (pow N 1/9) (pow (+ (/ 1 N) 1.0) 1/6))) (log (* (pow (pow N 2) 1/9) (pow (+ (/ 1 N) 1.0) 1/6)))) in N 2.144 * [taylor]: Taking taylor expansion of (log (* (pow N 1/9) (pow (+ (/ 1 N) 1.0) 1/6))) in N 2.144 * [taylor]: Taking taylor expansion of (* (pow N 1/9) (pow (+ (/ 1 N) 1.0) 1/6)) in N 2.144 * [taylor]: Taking taylor expansion of (pow N 1/9) in N 2.144 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log N))) in N 2.144 * [taylor]: Taking taylor expansion of (* 1/9 (log N)) in N 2.144 * [taylor]: Taking taylor expansion of 1/9 in N 2.144 * [taylor]: Taking taylor expansion of (log N) in N 2.144 * [taylor]: Taking taylor expansion of N in N 2.145 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/6) in N 2.145 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 N) 1.0)))) in N 2.145 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 N) 1.0))) in N 2.145 * [taylor]: Taking taylor expansion of 1/6 in N 2.145 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.145 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.145 * [taylor]: Taking taylor expansion of N in N 2.145 * [taylor]: Taking taylor expansion of 1.0 in N 2.147 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/9) (pow (+ (/ 1 N) 1.0) 1/6))) in N 2.147 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/9) (pow (+ (/ 1 N) 1.0) 1/6)) in N 2.147 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/9) in N 2.147 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow N 2)))) in N 2.147 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow N 2))) in N 2.147 * [taylor]: Taking taylor expansion of 1/9 in N 2.147 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 2.147 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.147 * [taylor]: Taking taylor expansion of N in N 2.148 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/6) in N 2.148 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 N) 1.0)))) in N 2.148 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 N) 1.0))) in N 2.148 * [taylor]: Taking taylor expansion of 1/6 in N 2.148 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.148 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.148 * [taylor]: Taking taylor expansion of N in N 2.148 * [taylor]: Taking taylor expansion of 1.0 in N 2.149 * [taylor]: Taking taylor expansion of (+ (log (* (pow N 1/9) (pow (+ (/ 1 N) 1.0) 1/6))) (log (* (pow (pow N 2) 1/9) (pow (+ (/ 1 N) 1.0) 1/6)))) in N 2.149 * [taylor]: Taking taylor expansion of (log (* (pow N 1/9) (pow (+ (/ 1 N) 1.0) 1/6))) in N 2.149 * [taylor]: Taking taylor expansion of (* (pow N 1/9) (pow (+ (/ 1 N) 1.0) 1/6)) in N 2.149 * [taylor]: Taking taylor expansion of (pow N 1/9) in N 2.149 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log N))) in N 2.149 * [taylor]: Taking taylor expansion of (* 1/9 (log N)) in N 2.149 * [taylor]: Taking taylor expansion of 1/9 in N 2.149 * [taylor]: Taking taylor expansion of (log N) in N 2.149 * [taylor]: Taking taylor expansion of N in N 2.150 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/6) in N 2.150 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 N) 1.0)))) in N 2.150 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 N) 1.0))) in N 2.150 * [taylor]: Taking taylor expansion of 1/6 in N 2.150 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.150 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 2.150 * [taylor]: Taking taylor expansion of 1.0 in N 2.151 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/9) (pow (+ (/ 1 N) 1.0) 1/6))) in N 2.151 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/9) (pow (+ (/ 1 N) 1.0) 1/6)) in N 2.151 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/9) in N 2.151 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow N 2)))) in N 2.152 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow N 2))) in N 2.152 * [taylor]: Taking taylor expansion of 1/9 in N 2.152 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 2.152 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.152 * [taylor]: Taking taylor expansion of N in N 2.152 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/6) in N 2.152 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 N) 1.0)))) in N 2.153 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 N) 1.0))) in N 2.153 * [taylor]: Taking taylor expansion of 1/6 in N 2.153 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.153 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.153 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.153 * [taylor]: Taking taylor expansion of N in N 2.153 * [taylor]: Taking taylor expansion of 1.0 in N 2.211 * [approximate]: Taking taylor expansion of (+ (log (* (pow (/ 1 (cbrt -1)) 1/3) (* (pow N 1/9) (pow (- 1.0 (/ 1 N)) 1/6)))) (log (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6))))) in (N) around 0 2.211 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (cbrt -1)) 1/3) (* (pow N 1/9) (pow (- 1.0 (/ 1 N)) 1/6)))) (log (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6))))) in N 2.211 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (cbrt -1)) 1/3) (* (pow N 1/9) (pow (- 1.0 (/ 1 N)) 1/6)))) in N 2.211 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (cbrt -1)) 1/3) (* (pow N 1/9) (pow (- 1.0 (/ 1 N)) 1/6))) in N 2.212 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/3) in N 2.212 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (cbrt -1))))) in N 2.212 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (cbrt -1)))) in N 2.212 * [taylor]: Taking taylor expansion of 1/3 in N 2.212 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in N 2.212 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 2.212 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.212 * [taylor]: Taking taylor expansion of -1 in N 2.218 * [taylor]: Taking taylor expansion of (* (pow N 1/9) (pow (- 1.0 (/ 1 N)) 1/6)) in N 2.218 * [taylor]: Taking taylor expansion of (pow N 1/9) in N 2.218 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log N))) in N 2.218 * [taylor]: Taking taylor expansion of (* 1/9 (log N)) in N 2.218 * [taylor]: Taking taylor expansion of 1/9 in N 2.218 * [taylor]: Taking taylor expansion of (log N) in N 2.218 * [taylor]: Taking taylor expansion of N in N 2.219 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/6) in N 2.219 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 N))))) in N 2.219 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 N)))) in N 2.219 * [taylor]: Taking taylor expansion of 1/6 in N 2.219 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.219 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.219 * [taylor]: Taking taylor expansion of 1.0 in N 2.219 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.219 * [taylor]: Taking taylor expansion of N in N 2.225 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6)))) in N 2.225 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6))) in N 2.225 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (cbrt -1) 2)) 1/3) in N 2.225 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cbrt -1) 2))))) in N 2.225 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cbrt -1) 2)))) in N 2.225 * [taylor]: Taking taylor expansion of 1/3 in N 2.225 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cbrt -1) 2))) in N 2.225 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 2.225 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 2.225 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.225 * [taylor]: Taking taylor expansion of -1 in N 2.235 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6)) in N 2.235 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/9) in N 2.235 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow N 2)))) in N 2.235 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow N 2))) in N 2.235 * [taylor]: Taking taylor expansion of 1/9 in N 2.235 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 2.235 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.235 * [taylor]: Taking taylor expansion of N in N 2.236 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/6) in N 2.236 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 N))))) in N 2.236 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 N)))) in N 2.236 * [taylor]: Taking taylor expansion of 1/6 in N 2.236 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.236 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.236 * [taylor]: Taking taylor expansion of 1.0 in N 2.236 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.236 * [taylor]: Taking taylor expansion of N in N 2.250 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (cbrt -1)) 1/3) (* (pow N 1/9) (pow (- 1.0 (/ 1 N)) 1/6)))) (log (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6))))) in N 2.250 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (cbrt -1)) 1/3) (* (pow N 1/9) (pow (- 1.0 (/ 1 N)) 1/6)))) in N 2.251 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (cbrt -1)) 1/3) (* (pow N 1/9) (pow (- 1.0 (/ 1 N)) 1/6))) in N 2.251 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/3) in N 2.251 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (cbrt -1))))) in N 2.251 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (cbrt -1)))) in N 2.251 * [taylor]: Taking taylor expansion of 1/3 in N 2.251 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in N 2.251 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 2.251 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.251 * [taylor]: Taking taylor expansion of -1 in N 2.257 * [taylor]: Taking taylor expansion of (* (pow N 1/9) (pow (- 1.0 (/ 1 N)) 1/6)) in N 2.257 * [taylor]: Taking taylor expansion of (pow N 1/9) in N 2.257 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log N))) in N 2.257 * [taylor]: Taking taylor expansion of (* 1/9 (log N)) in N 2.257 * [taylor]: Taking taylor expansion of 1/9 in N 2.257 * [taylor]: Taking taylor expansion of (log N) in N 2.257 * [taylor]: Taking taylor expansion of N in N 2.258 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/6) in N 2.258 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 N))))) in N 2.258 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 N)))) in N 2.258 * [taylor]: Taking taylor expansion of 1/6 in N 2.258 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.258 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.258 * [taylor]: Taking taylor expansion of 1.0 in N 2.258 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.258 * [taylor]: Taking taylor expansion of N in N 2.264 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6)))) in N 2.264 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6))) in N 2.264 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (cbrt -1) 2)) 1/3) in N 2.264 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cbrt -1) 2))))) in N 2.264 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cbrt -1) 2)))) in N 2.264 * [taylor]: Taking taylor expansion of 1/3 in N 2.264 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cbrt -1) 2))) in N 2.264 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 2.264 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 2.264 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.264 * [taylor]: Taking taylor expansion of -1 in N 2.274 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6)) in N 2.274 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/9) in N 2.274 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow N 2)))) in N 2.274 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow N 2))) in N 2.274 * [taylor]: Taking taylor expansion of 1/9 in N 2.274 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 2.274 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.274 * [taylor]: Taking taylor expansion of N in N 2.275 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/6) in N 2.275 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 N))))) in N 2.275 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 N)))) in N 2.275 * [taylor]: Taking taylor expansion of 1/6 in N 2.275 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.275 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.275 * [taylor]: Taking taylor expansion of 1.0 in N 2.275 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.275 * [taylor]: Taking taylor expansion of N in N 2.625 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.625 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 2.625 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 2.625 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.625 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.625 * [taylor]: Taking taylor expansion of 1/3 in N 2.625 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.625 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.625 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.625 * [taylor]: Taking taylor expansion of N in N 2.625 * [taylor]: Taking taylor expansion of 1.0 in N 2.625 * [taylor]: Taking taylor expansion of N in N 2.628 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 2.628 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.628 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.628 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.628 * [taylor]: Taking taylor expansion of 1/3 in N 2.628 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.628 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.628 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.628 * [taylor]: Taking taylor expansion of N in N 2.628 * [taylor]: Taking taylor expansion of 1.0 in N 2.628 * [taylor]: Taking taylor expansion of N in N 2.659 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 2.660 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 2.660 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.660 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.660 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.660 * [taylor]: Taking taylor expansion of 1/3 in N 2.660 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.660 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.660 * [taylor]: Taking taylor expansion of N in N 2.660 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.660 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.660 * [taylor]: Taking taylor expansion of N in N 2.660 * [taylor]: Taking taylor expansion of 1.0 in N 2.670 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 2.670 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.670 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.670 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.670 * [taylor]: Taking taylor expansion of 1/3 in N 2.670 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.670 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.670 * [taylor]: Taking taylor expansion of N in N 2.670 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.670 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.670 * [taylor]: Taking taylor expansion of N in N 2.670 * [taylor]: Taking taylor expansion of 1.0 in N 2.746 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 2.746 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 2.746 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.746 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.746 * [taylor]: Taking taylor expansion of -1 in N 2.747 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.747 * [taylor]: Taking taylor expansion of 1/3 in N 2.747 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.747 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.747 * [taylor]: Taking taylor expansion of N in N 2.747 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.747 * [taylor]: Taking taylor expansion of 1.0 in N 2.747 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.747 * [taylor]: Taking taylor expansion of N in N 2.755 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 2.755 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.755 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.755 * [taylor]: Taking taylor expansion of -1 in N 2.755 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.755 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.755 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.755 * [taylor]: Taking taylor expansion of 1/3 in N 2.755 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.756 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.756 * [taylor]: Taking taylor expansion of N in N 2.756 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.756 * [taylor]: Taking taylor expansion of 1.0 in N 2.756 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.756 * [taylor]: Taking taylor expansion of N in N 2.837 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.837 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/9) (pow (+ N 1.0) 1/6)) in (N) around 0 2.837 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/9) (pow (+ N 1.0) 1/6)) in N 2.837 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/9) in N 2.837 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow N 2))))) in N 2.837 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow N 2)))) in N 2.837 * [taylor]: Taking taylor expansion of 1/9 in N 2.837 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 2.837 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.837 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.837 * [taylor]: Taking taylor expansion of N in N 2.838 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/6) in N 2.838 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ N 1.0)))) in N 2.838 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ N 1.0))) in N 2.839 * [taylor]: Taking taylor expansion of 1/6 in N 2.839 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.839 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.839 * [taylor]: Taking taylor expansion of N in N 2.839 * [taylor]: Taking taylor expansion of 1.0 in N 2.841 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/9) (pow (+ N 1.0) 1/6)) in N 2.841 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/9) in N 2.841 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow N 2))))) in N 2.841 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow N 2)))) in N 2.841 * [taylor]: Taking taylor expansion of 1/9 in N 2.841 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 2.841 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.841 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.841 * [taylor]: Taking taylor expansion of N in N 2.842 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/6) in N 2.842 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ N 1.0)))) in N 2.842 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ N 1.0))) in N 2.842 * [taylor]: Taking taylor expansion of 1/6 in N 2.842 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.842 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.842 * [taylor]: Taking taylor expansion of N in N 2.842 * [taylor]: Taking taylor expansion of 1.0 in N 2.891 * [approximate]: Taking taylor expansion of (* (pow (pow N 2) 1/9) (pow (+ (/ 1 N) 1.0) 1/6)) in (N) around 0 2.891 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/9) (pow (+ (/ 1 N) 1.0) 1/6)) in N 2.891 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/9) in N 2.891 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow N 2)))) in N 2.891 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow N 2))) in N 2.891 * [taylor]: Taking taylor expansion of 1/9 in N 2.891 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 2.891 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.891 * [taylor]: Taking taylor expansion of N in N 2.892 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/6) in N 2.892 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 N) 1.0)))) in N 2.892 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 N) 1.0))) in N 2.892 * [taylor]: Taking taylor expansion of 1/6 in N 2.892 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.893 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.893 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.893 * [taylor]: Taking taylor expansion of N in N 2.893 * [taylor]: Taking taylor expansion of 1.0 in N 2.894 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/9) (pow (+ (/ 1 N) 1.0) 1/6)) in N 2.894 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/9) in N 2.894 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow N 2)))) in N 2.894 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow N 2))) in N 2.894 * [taylor]: Taking taylor expansion of 1/9 in N 2.894 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 2.894 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.894 * [taylor]: Taking taylor expansion of N in N 2.895 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/6) in N 2.895 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 N) 1.0)))) in N 2.895 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 N) 1.0))) in N 2.895 * [taylor]: Taking taylor expansion of 1/6 in N 2.895 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.895 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.895 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.895 * [taylor]: Taking taylor expansion of N in N 2.895 * [taylor]: Taking taylor expansion of 1.0 in N 2.922 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6))) in (N) around 0 2.922 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6))) in N 2.922 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (cbrt -1) 2)) 1/3) in N 2.922 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cbrt -1) 2))))) in N 2.922 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cbrt -1) 2)))) in N 2.922 * [taylor]: Taking taylor expansion of 1/3 in N 2.922 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cbrt -1) 2))) in N 2.922 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 2.922 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 2.922 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.922 * [taylor]: Taking taylor expansion of -1 in N 2.932 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6)) in N 2.932 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/9) in N 2.932 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow N 2)))) in N 2.932 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow N 2))) in N 2.932 * [taylor]: Taking taylor expansion of 1/9 in N 2.932 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 2.932 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.932 * [taylor]: Taking taylor expansion of N in N 2.933 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/6) in N 2.933 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 N))))) in N 2.933 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 N)))) in N 2.933 * [taylor]: Taking taylor expansion of 1/6 in N 2.933 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.933 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.933 * [taylor]: Taking taylor expansion of 1.0 in N 2.933 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.933 * [taylor]: Taking taylor expansion of N in N 2.935 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6))) in N 2.935 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (cbrt -1) 2)) 1/3) in N 2.935 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cbrt -1) 2))))) in N 2.935 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cbrt -1) 2)))) in N 2.936 * [taylor]: Taking taylor expansion of 1/3 in N 2.936 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cbrt -1) 2))) in N 2.936 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 2.936 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 2.936 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.936 * [taylor]: Taking taylor expansion of -1 in N 2.949 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6)) in N 2.949 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/9) in N 2.949 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow N 2)))) in N 2.949 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow N 2))) in N 2.949 * [taylor]: Taking taylor expansion of 1/9 in N 2.949 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 2.949 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.949 * [taylor]: Taking taylor expansion of N in N 2.950 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/6) in N 2.950 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 N))))) in N 2.950 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 N)))) in N 2.950 * [taylor]: Taking taylor expansion of 1/6 in N 2.950 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.950 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.950 * [taylor]: Taking taylor expansion of 1.0 in N 2.950 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.950 * [taylor]: Taking taylor expansion of N in N 3.017 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 2) 3.017 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 3.017 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.017 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.017 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.017 * [taylor]: Taking taylor expansion of 1/3 in N 3.017 * [taylor]: Taking taylor expansion of (log N) in N 3.017 * [taylor]: Taking taylor expansion of N in N 3.018 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.018 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.018 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.018 * [taylor]: Taking taylor expansion of 1/3 in N 3.018 * [taylor]: Taking taylor expansion of (log N) in N 3.018 * [taylor]: Taking taylor expansion of N in N 3.072 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 3.072 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.072 * [taylor]: Taking taylor expansion of 1/3 in N 3.072 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.072 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.072 * [taylor]: Taking taylor expansion of N in N 3.073 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.073 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.073 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.073 * [taylor]: Taking taylor expansion of 1/3 in N 3.073 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.073 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.073 * [taylor]: Taking taylor expansion of N in N 3.129 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 3.129 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 3.129 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.129 * [taylor]: Taking taylor expansion of -1 in N 3.130 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.130 * [taylor]: Taking taylor expansion of 1/3 in N 3.130 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.130 * [taylor]: Taking taylor expansion of N in N 3.131 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 3.131 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.131 * [taylor]: Taking taylor expansion of -1 in N 3.132 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.132 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.132 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.132 * [taylor]: Taking taylor expansion of 1/3 in N 3.132 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.132 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.132 * [taylor]: Taking taylor expansion of N in N 3.201 * * * [progress]: simplifying candidates 3.212 * [simplify]: Simplifying using # : (* (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (* (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (exp (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (* (exp (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (* (exp (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (exp (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (log (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (exp (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (* (cbrt (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (cbrt (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))))))) (cbrt (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt 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)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (sqrt (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (sqrt (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (+ (pow (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) 3) (pow (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) 3)) (+ (* (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt 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)) (cbrt 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)) (* (cbrt N) (cbrt 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)) (cbrt N)))))) (- (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt 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)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt 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)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (* (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N))))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt (sqrt N)))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt 1))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (cbrt N)))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1)))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N))))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (sqrt N)))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt 1))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (cbrt N)))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1)))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (sqrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N))))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (sqrt (+ N 1.0))) (cbrt 1))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (sqrt (+ N 1.0))) 1)))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt 1) (cbrt (* (cbrt N) (cbrt N))))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt 1) (cbrt (sqrt N)))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt 1) (cbrt 1))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N))))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt 1) (sqrt (cbrt N)))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt 1) 1)))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt 1) (cbrt (* (cbrt N) (cbrt N))))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt 1) (cbrt (sqrt N)))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt 1) (cbrt 1))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N))))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt 1) (sqrt (cbrt N)))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt 1) 1)))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (sqrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N))))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (sqrt (+ 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(cbrt N))))) (/ (sqrt (+ N 1.0)) (pow N 2/3)) (sqrt (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (sqrt (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (- (+ (* 0.3333333333333333 N) (+ (log (* (pow (/ 1 (pow N 2)) 1/9) (pow 1.0 1/6))) (+ (* 0.027777777777777776 (* (pow N 2) (pow 1.0 1/3))) (log (* (pow (/ 1 N) 1/9) (pow 1.0 1/6)))))) (+ (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3))) (* 0.027777777777777776 (pow N 2)))) (+ (* 0.3333333333333333 (/ 1 N)) (+ (* 1/18 (+ (log (/ 1 N)) (log N))) (/ (- 0.16666666666666669) (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (+ (log (* (pow (/ -1 N) 1/9) (* (pow (/ 1 (cbrt -1)) 1/3) (exp (* 1/6 (- (log -1) (log (/ -1 N)))))))) (log (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (/ 1 (pow N 2)) 1/9) (exp (* 1/6 (- (log -1) (log (/ -1 N)))))))))) (* 0.16666666666666669 (/ 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)))) (+ (* 2 (log (cbrt -1))) (+ (* 0.3333333333333333 (/ 1 N)) (/ (- 0.16666666666666666) (pow N 2)))) (+ (* (pow 1.0 1/6) (+ (* 0.013888888888888888 (pow (pow N 16) 1/9)) (pow (/ 1 (pow N 2)) 1/9))) (- (* 0.16666666666666666 (* (pow (pow N 7) 1/9) (pow 1.0 1/6))) (* 1/12 (* (pow (pow N 16) 1/9) (pow (/ 1 (pow 1.0 11)) 1/6))))) (- (+ (* 0.16666666666666666 (pow (/ 1 (pow N 19)) 1/18)) (pow (/ 1 N) 1/18)) (* 0.06944444444444445 (pow (/ 1 (pow N 37)) 1/18))) (- (+ (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (/ 1 (pow N 2)) 1/9) (exp (* 1/6 (- (log -1) (log (/ -1 N))))))) (* 0.16666666666666666 (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (/ 1 (pow N 11)) 1/9) (exp (* 1/6 (- (log -1) (log (/ -1 N))))))))) (* 0.06944444444444445 (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (/ 1 (pow N 20)) 1/9) (exp (* 1/6 (- (log -1) (log (/ -1 N))))))))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) 3.365 * * * [progress]: adding candidates to table 5.185 * [progress]: [Phase 3 of 3] Extracting. 5.185 * * [regime]: Finding splitpoints for: (# # #) 5.186 * * * [regime-changes]: Trying 1 branch expressions: (N) 5.186 * * * * [regimes]: Trying to branch on N from (# # #) 5.209 * * * [regime]: Found split indices: #