15.951 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.049 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.050 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.051 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.052 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.052 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.053 * * [progress]: iteration 1 / 4 0.053 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.061 * * * [progress]: generating rewritten candidates 0.061 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.067 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.071 * * * [progress]: generating series expansions 0.071 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.072 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.072 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.072 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.072 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.072 * [taylor]: Taking taylor expansion of 1.0 in N 0.072 * [taylor]: Taking taylor expansion of (log N) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.072 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.072 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.072 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.072 * [taylor]: Taking taylor expansion of 1.0 in N 0.072 * [taylor]: Taking taylor expansion of (log N) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.074 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.074 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.074 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.074 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.074 * [taylor]: Taking taylor expansion of 1.0 in N 0.074 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.074 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.074 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.074 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.074 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.074 * [taylor]: Taking taylor expansion of 1.0 in N 0.075 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.075 * [taylor]: Taking taylor expansion of N in N 0.076 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.077 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.077 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.077 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.077 * [taylor]: Taking taylor expansion of 1.0 in N 0.077 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.077 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.077 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.077 * [taylor]: Taking taylor expansion of -1 in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.077 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.077 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.077 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.077 * [taylor]: Taking taylor expansion of 1.0 in N 0.077 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.077 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.077 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.077 * [taylor]: Taking taylor expansion of -1 in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.078 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.078 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.078 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.078 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.078 * [taylor]: Taking taylor expansion of 1.0 in N 0.078 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.078 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.078 * [taylor]: Taking taylor expansion of 1.0 in N 0.079 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.079 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.079 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.079 * [taylor]: Taking taylor expansion of N in N 0.079 * [taylor]: Taking taylor expansion of 1.0 in N 0.079 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.079 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.079 * [taylor]: Taking taylor expansion of N in N 0.079 * [taylor]: Taking taylor expansion of 1.0 in N 0.080 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.080 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.080 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.080 * [taylor]: Taking taylor expansion of 1.0 in N 0.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.080 * [taylor]: Taking taylor expansion of N in N 0.080 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.080 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.080 * [taylor]: Taking taylor expansion of 1.0 in N 0.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.080 * [taylor]: Taking taylor expansion of N in N 0.081 * * * [progress]: simplifying candidates 0.082 * [simplify]: Simplifying using # : (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (neg (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)) (neg (log N)) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (log 1) (+ (* 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)))) (- (+ (* 1.0 (/ 1 N)) (log (neg 1))) (+ (* 0.5 (/ 1 (pow N 2))) (log -1))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log (neg 1))) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.085 * * [simplify]: iteration 0 : 232 enodes (cost 285 ) 0.088 * * [simplify]: iteration 1 : 628 enodes (cost 264 ) 0.097 * * [simplify]: iteration 2 : 2171 enodes (cost 244 ) 0.134 * * [simplify]: iteration 3 : 5001 enodes (cost 244 ) 0.136 * [simplify]: Simplified to: (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0)))) (* (log N) (log N))) (log (/ 1 N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (log (/ 1 N)) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (+ (/ 1.0 N) (log N)) (/ (/ 0.5 N) N)) (- (+ (/ 1.0 N) (log N)) (/ (/ 0.5 N) N)) 0.136 * * * [progress]: adding candidates to table 0.209 * * [progress]: iteration 2 / 4 0.209 * * * [progress]: picking best candidate 0.219 * * * * [pick]: Picked # 0.219 * * * [progress]: localizing error 0.224 * * * [progress]: generating rewritten candidates 0.224 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.228 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.235 * * * [progress]: generating series expansions 0.235 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.235 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.235 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.235 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.235 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of 1.0 in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.235 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.235 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of 1.0 in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.236 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.236 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.236 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.236 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.236 * [taylor]: Taking taylor expansion of 1.0 in N 0.236 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.236 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.237 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.237 * [taylor]: Taking taylor expansion of N in N 0.237 * [taylor]: Taking taylor expansion of 1.0 in N 0.237 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.237 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.237 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.237 * [taylor]: Taking taylor expansion of -1 in N 0.237 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.237 * [taylor]: Taking taylor expansion of N in N 0.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.237 * [taylor]: Taking taylor expansion of 1.0 in N 0.237 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.237 * [taylor]: Taking taylor expansion of N in N 0.238 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.238 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.238 * [taylor]: Taking taylor expansion of -1 in N 0.238 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.238 * [taylor]: Taking taylor expansion of N in N 0.238 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.238 * [taylor]: Taking taylor expansion of 1.0 in N 0.238 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.238 * [taylor]: Taking taylor expansion of N in N 0.239 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.239 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.239 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.239 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.239 * [taylor]: Taking taylor expansion of N in N 0.239 * [taylor]: Taking taylor expansion of 1.0 in N 0.239 * [taylor]: Taking taylor expansion of N in N 0.239 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.239 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.239 * [taylor]: Taking taylor expansion of N in N 0.239 * [taylor]: Taking taylor expansion of 1.0 in N 0.239 * [taylor]: Taking taylor expansion of N in N 0.240 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.240 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.240 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [taylor]: Taking taylor expansion of 1.0 in N 0.240 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.240 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [taylor]: Taking taylor expansion of 1.0 in N 0.241 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.241 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.241 * [taylor]: Taking taylor expansion of -1 in N 0.241 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.241 * [taylor]: Taking taylor expansion of N in N 0.241 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.241 * [taylor]: Taking taylor expansion of 1.0 in N 0.241 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.241 * [taylor]: Taking taylor expansion of N in N 0.241 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.241 * [taylor]: Taking taylor expansion of -1 in N 0.241 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.241 * [taylor]: Taking taylor expansion of N in N 0.241 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.241 * [taylor]: Taking taylor expansion of 1.0 in N 0.241 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.241 * [taylor]: Taking taylor expansion of N in N 0.243 * * * [progress]: simplifying candidates 0.244 * [simplify]: Simplifying using # : (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (neg (+ N 1.0)) (neg N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.247 * * [simplify]: iteration 0 : 221 enodes (cost 370 ) 0.251 * * [simplify]: iteration 1 : 736 enodes (cost 343 ) 0.262 * * [simplify]: iteration 2 : 3220 enodes (cost 333 ) 0.330 * * [simplify]: iteration 3 : 5002 enodes (cost 333 ) 0.332 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (neg (+ N 1.0)) (neg N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.333 * * * [progress]: adding candidates to table 0.406 * * [progress]: iteration 3 / 4 0.406 * * * [progress]: picking best candidate 0.419 * * * * [pick]: Picked # 0.419 * * * [progress]: localizing error 0.429 * * * [progress]: generating rewritten candidates 0.429 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.442 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.445 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.448 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.454 * * * [progress]: generating series expansions 0.454 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.455 * [approximate]: Taking taylor expansion of (+ (* 2 (log (pow (+ N 1.0) 1/3))) (log (* (/ 1 N) (pow (+ N 1.0) 1/3)))) in (N) around 0 0.455 * [taylor]: Taking taylor expansion of (+ (* 2 (log (pow (+ N 1.0) 1/3))) (log (* (/ 1 N) (pow (+ N 1.0) 1/3)))) in N 0.455 * [taylor]: Taking taylor expansion of (* 2 (log (pow (+ N 1.0) 1/3))) in N 0.455 * [taylor]: Taking taylor expansion of 2 in N 0.455 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 1/3)) in N 0.455 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.455 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.455 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.455 * [taylor]: Taking taylor expansion of 1/3 in N 0.455 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.455 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.455 * [taylor]: Taking taylor expansion of N in N 0.455 * [taylor]: Taking taylor expansion of 1.0 in N 0.455 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (pow (+ N 1.0) 1/3))) in N 0.455 * [taylor]: Taking taylor expansion of (* (/ 1 N) (pow (+ N 1.0) 1/3)) in N 0.455 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.455 * [taylor]: Taking taylor expansion of N in N 0.455 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.455 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.455 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.456 * [taylor]: Taking taylor expansion of 1/3 in N 0.456 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.456 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.456 * [taylor]: Taking taylor expansion of N in N 0.456 * [taylor]: Taking taylor expansion of 1.0 in N 0.456 * [taylor]: Taking taylor expansion of (+ (* 2 (log (pow (+ N 1.0) 1/3))) (log (* (/ 1 N) (pow (+ N 1.0) 1/3)))) in N 0.456 * [taylor]: Taking taylor expansion of (* 2 (log (pow (+ N 1.0) 1/3))) in N 0.456 * [taylor]: Taking taylor expansion of 2 in N 0.456 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 1/3)) in N 0.456 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.456 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.456 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.456 * [taylor]: Taking taylor expansion of 1/3 in N 0.456 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.456 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.456 * [taylor]: Taking taylor expansion of N in N 0.456 * [taylor]: Taking taylor expansion of 1.0 in N 0.456 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (pow (+ N 1.0) 1/3))) in N 0.456 * [taylor]: Taking taylor expansion of (* (/ 1 N) (pow (+ N 1.0) 1/3)) in N 0.456 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.456 * [taylor]: Taking taylor expansion of N in N 0.456 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.456 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.456 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.456 * [taylor]: Taking taylor expansion of 1/3 in N 0.456 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.456 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.456 * [taylor]: Taking taylor expansion of N in N 0.456 * [taylor]: Taking taylor expansion of 1.0 in N 0.462 * [approximate]: Taking taylor expansion of (+ (* 2 (log (pow (+ (/ 1 N) 1.0) 1/3))) (log (* N (pow (+ (/ 1 N) 1.0) 1/3)))) in (N) around 0 0.462 * [taylor]: Taking taylor expansion of (+ (* 2 (log (pow (+ (/ 1 N) 1.0) 1/3))) (log (* N (pow (+ (/ 1 N) 1.0) 1/3)))) in N 0.462 * [taylor]: Taking taylor expansion of (* 2 (log (pow (+ (/ 1 N) 1.0) 1/3))) in N 0.462 * [taylor]: Taking taylor expansion of 2 in N 0.462 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 1/3)) in N 0.462 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.462 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.462 * [taylor]: Taking taylor expansion of 1/3 in N 0.462 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.462 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.462 * [taylor]: Taking taylor expansion of N in N 0.462 * [taylor]: Taking taylor expansion of 1.0 in N 0.463 * [taylor]: Taking taylor expansion of (log (* N (pow (+ (/ 1 N) 1.0) 1/3))) in N 0.463 * [taylor]: Taking taylor expansion of (* N (pow (+ (/ 1 N) 1.0) 1/3)) in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.463 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.463 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.463 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.463 * [taylor]: Taking taylor expansion of 1/3 in N 0.463 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.463 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.463 * [taylor]: Taking taylor expansion of 1.0 in N 0.463 * [taylor]: Taking taylor expansion of (+ (* 2 (log (pow (+ (/ 1 N) 1.0) 1/3))) (log (* N (pow (+ (/ 1 N) 1.0) 1/3)))) in N 0.463 * [taylor]: Taking taylor expansion of (* 2 (log (pow (+ (/ 1 N) 1.0) 1/3))) in N 0.463 * [taylor]: Taking taylor expansion of 2 in N 0.464 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 1/3)) in N 0.464 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.464 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.464 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.464 * [taylor]: Taking taylor expansion of 1/3 in N 0.464 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.464 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.464 * [taylor]: Taking taylor expansion of N in N 0.464 * [taylor]: Taking taylor expansion of 1.0 in N 0.464 * [taylor]: Taking taylor expansion of (log (* N (pow (+ (/ 1 N) 1.0) 1/3))) in N 0.464 * [taylor]: Taking taylor expansion of (* N (pow (+ (/ 1 N) 1.0) 1/3)) in N 0.464 * [taylor]: Taking taylor expansion of N in N 0.464 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.464 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.464 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.464 * [taylor]: Taking taylor expansion of 1/3 in N 0.464 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.464 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.464 * [taylor]: Taking taylor expansion of N in N 0.464 * [taylor]: Taking taylor expansion of 1.0 in N 0.469 * [approximate]: Taking taylor expansion of (+ (log (* -1 (* N (pow (- 1.0 (/ 1 N)) 1/3)))) (* 2 (log (pow (- 1.0 (/ 1 N)) 1/3)))) in (N) around 0 0.469 * [taylor]: Taking taylor expansion of (+ (log (* -1 (* N (pow (- 1.0 (/ 1 N)) 1/3)))) (* 2 (log (pow (- 1.0 (/ 1 N)) 1/3)))) in N 0.469 * [taylor]: Taking taylor expansion of (log (* -1 (* N (pow (- 1.0 (/ 1 N)) 1/3)))) in N 0.469 * [taylor]: Taking taylor expansion of (* -1 (* N (pow (- 1.0 (/ 1 N)) 1/3))) in N 0.469 * [taylor]: Taking taylor expansion of -1 in N 0.469 * [taylor]: Taking taylor expansion of (* N (pow (- 1.0 (/ 1 N)) 1/3)) in N 0.469 * [taylor]: Taking taylor expansion of N in N 0.469 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.469 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.469 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.469 * [taylor]: Taking taylor expansion of 1/3 in N 0.469 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.469 * [taylor]: Taking taylor expansion of 1.0 in N 0.469 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.469 * [taylor]: Taking taylor expansion of N in N 0.470 * [taylor]: Taking taylor expansion of (* 2 (log (pow (- 1.0 (/ 1 N)) 1/3))) in N 0.470 * [taylor]: Taking taylor expansion of 2 in N 0.470 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 1/3)) in N 0.470 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.470 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.470 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.470 * [taylor]: Taking taylor expansion of 1/3 in N 0.470 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.470 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.470 * [taylor]: Taking taylor expansion of 1.0 in N 0.470 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.470 * [taylor]: Taking taylor expansion of N in N 0.471 * [taylor]: Taking taylor expansion of (+ (log (* -1 (* N (pow (- 1.0 (/ 1 N)) 1/3)))) (* 2 (log (pow (- 1.0 (/ 1 N)) 1/3)))) in N 0.471 * [taylor]: Taking taylor expansion of (log (* -1 (* N (pow (- 1.0 (/ 1 N)) 1/3)))) in N 0.471 * [taylor]: Taking taylor expansion of (* -1 (* N (pow (- 1.0 (/ 1 N)) 1/3))) in N 0.471 * [taylor]: Taking taylor expansion of -1 in N 0.471 * [taylor]: Taking taylor expansion of (* N (pow (- 1.0 (/ 1 N)) 1/3)) in N 0.471 * [taylor]: Taking taylor expansion of N in N 0.471 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.471 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.471 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.471 * [taylor]: Taking taylor expansion of 1/3 in N 0.471 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.471 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.471 * [taylor]: Taking taylor expansion of 1.0 in N 0.471 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.471 * [taylor]: Taking taylor expansion of N in N 0.472 * [taylor]: Taking taylor expansion of (* 2 (log (pow (- 1.0 (/ 1 N)) 1/3))) in N 0.472 * [taylor]: Taking taylor expansion of 2 in N 0.472 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 1/3)) in N 0.472 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.472 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.472 * [taylor]: Taking taylor expansion of 1/3 in N 0.472 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.472 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.472 * [taylor]: Taking taylor expansion of 1.0 in N 0.472 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.472 * [taylor]: Taking taylor expansion of N in N 0.480 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.480 * [approximate]: Taking taylor expansion of (log (pow (+ N 1.0) 1/3)) in (N) around 0 0.480 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 1/3)) in N 0.480 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.480 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.480 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.480 * [taylor]: Taking taylor expansion of 1/3 in N 0.480 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.480 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.480 * [taylor]: Taking taylor expansion of N in N 0.480 * [taylor]: Taking taylor expansion of 1.0 in N 0.480 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 1/3)) in N 0.480 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.480 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.480 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.480 * [taylor]: Taking taylor expansion of 1/3 in N 0.480 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.480 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.480 * [taylor]: Taking taylor expansion of N in N 0.480 * [taylor]: Taking taylor expansion of 1.0 in N 0.482 * [approximate]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 1/3)) in (N) around 0 0.482 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 1/3)) in N 0.482 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.482 * [taylor]: Taking taylor expansion of 1/3 in N 0.482 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.482 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.482 * [taylor]: Taking taylor expansion of N in N 0.482 * [taylor]: Taking taylor expansion of 1.0 in N 0.483 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 1/3)) in N 0.483 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.483 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.483 * [taylor]: Taking taylor expansion of 1/3 in N 0.483 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.483 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.483 * [taylor]: Taking taylor expansion of 1.0 in N 0.485 * [approximate]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 1/3)) in (N) around 0 0.485 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 1/3)) in N 0.485 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.485 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.485 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.485 * [taylor]: Taking taylor expansion of 1/3 in N 0.485 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.485 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.485 * [taylor]: Taking taylor expansion of 1.0 in N 0.485 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.485 * [taylor]: Taking taylor expansion of N in N 0.485 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 1/3)) in N 0.485 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.485 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.485 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.485 * [taylor]: Taking taylor expansion of 1/3 in N 0.485 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.485 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.485 * [taylor]: Taking taylor expansion of 1.0 in N 0.485 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.485 * [taylor]: Taking taylor expansion of N in N 0.487 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.487 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.487 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.487 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.487 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.487 * [taylor]: Taking taylor expansion of 1/3 in N 0.487 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.487 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.487 * [taylor]: Taking taylor expansion of N in N 0.487 * [taylor]: Taking taylor expansion of 1.0 in N 0.487 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.488 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.488 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.488 * [taylor]: Taking taylor expansion of 1/3 in N 0.488 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.488 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.488 * [taylor]: Taking taylor expansion of N in N 0.488 * [taylor]: Taking taylor expansion of 1.0 in N 0.489 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.489 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.489 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.489 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.489 * [taylor]: Taking taylor expansion of 1/3 in N 0.489 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.489 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.489 * [taylor]: Taking taylor expansion of N in N 0.489 * [taylor]: Taking taylor expansion of 1.0 in N 0.489 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.489 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.489 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.489 * [taylor]: Taking taylor expansion of 1/3 in N 0.489 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.489 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.489 * [taylor]: Taking taylor expansion of N in N 0.490 * [taylor]: Taking taylor expansion of 1.0 in N 0.491 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.491 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.491 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.491 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.491 * [taylor]: Taking taylor expansion of 1/3 in N 0.491 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.491 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.491 * [taylor]: Taking taylor expansion of 1.0 in N 0.491 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.491 * [taylor]: Taking taylor expansion of N in N 0.491 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.491 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.491 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.491 * [taylor]: Taking taylor expansion of 1/3 in N 0.491 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.491 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.491 * [taylor]: Taking taylor expansion of 1.0 in N 0.491 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.492 * [taylor]: Taking taylor expansion of N in N 0.493 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.493 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.493 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.493 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.493 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.493 * [taylor]: Taking taylor expansion of 1/3 in N 0.493 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.493 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [taylor]: Taking taylor expansion of 1.0 in N 0.493 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.493 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.493 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.493 * [taylor]: Taking taylor expansion of 1/3 in N 0.494 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.494 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.494 * [taylor]: Taking taylor expansion of N in N 0.494 * [taylor]: Taking taylor expansion of 1.0 in N 0.495 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.495 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.495 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.495 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.495 * [taylor]: Taking taylor expansion of 1/3 in N 0.495 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.495 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [taylor]: Taking taylor expansion of 1.0 in N 0.495 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.495 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.495 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.495 * [taylor]: Taking taylor expansion of 1/3 in N 0.495 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.495 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [taylor]: Taking taylor expansion of 1.0 in N 0.497 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.497 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.497 * [taylor]: Taking taylor expansion of 1/3 in N 0.497 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.497 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.497 * [taylor]: Taking taylor expansion of 1.0 in N 0.497 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.497 * [taylor]: Taking taylor expansion of 1/3 in N 0.497 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.497 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.497 * [taylor]: Taking taylor expansion of 1.0 in N 0.497 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.499 * * * [progress]: simplifying candidates 0.500 * [simplify]: Simplifying using # : (* (exp (* 2 (log (cbrt (+ N 1.0))))) (/ (cbrt (+ N 1.0)) N)) (log (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)))) (exp (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)))) (* (cbrt (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)))) (cbrt (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N))))) (cbrt (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)))) (* (* (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)))) (sqrt (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)))) (sqrt (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)))) (+ (pow (* 2 (log (cbrt (+ N 1.0)))) 3) (pow (log (/ (cbrt (+ N 1.0)) N)) 3)) (+ (* (* 2 (log (cbrt (+ N 1.0)))) (* 2 (log (cbrt (+ N 1.0))))) (- (* (log (/ (cbrt (+ N 1.0)) N)) (log (/ (cbrt (+ N 1.0)) N))) (* (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N))))) (- (* (* 2 (log (cbrt (+ N 1.0)))) (* 2 (log (cbrt (+ N 1.0))))) (* (log (/ (cbrt (+ N 1.0)) N)) (log (/ (cbrt (+ N 1.0)) N)))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (* (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (cbrt (+ N 1.0)) N))))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt (/ (cbrt (+ N 1.0)) N)))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (sqrt (+ N 1.0))) 1))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt 1) (* (cbrt N) (cbrt N))))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt 1) (sqrt N)))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt 1) 1))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt 1) (* (cbrt N) (cbrt N))))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt 1) (sqrt N)))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt 1) 1))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (sqrt N)))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) 1))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (sqrt (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt N)))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (sqrt (cbrt (+ N 1.0))) 1))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ 1 (* (cbrt N) (cbrt N))))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ 1 (sqrt N)))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ 1 1))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log 1)) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0)))) (+ (* 2 (log (cbrt (cbrt (+ N 1.0))))) (log (/ (cbrt (+ N 1.0)) N))) (+ (* 2 (log (cbrt (sqrt (+ N 1.0))))) (log (/ (cbrt (+ N 1.0)) N))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N))) (+ (* 2 (log (cbrt (cbrt (+ N 1.0))))) (log (/ (cbrt (+ N 1.0)) N))) (+ (* 2 (log (sqrt (cbrt (+ N 1.0))))) (log (/ (cbrt (+ N 1.0)) N))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N))) (+ (* (log (cbrt (cbrt (+ N 1.0)))) 2) (log (/ (cbrt (+ N 1.0)) N))) (+ (* (log (cbrt (sqrt (+ N 1.0)))) 2) (log (/ (cbrt (+ N 1.0)) N))) (+ (* (log (cbrt (+ N 1.0))) 2) (log (/ (cbrt (+ N 1.0)) N))) (+ (* (log (cbrt (+ N 1.0))) 2) (log (/ (cbrt (+ N 1.0)) N))) (+ (* (log (cbrt (cbrt (+ N 1.0)))) 2) (log (/ (cbrt (+ N 1.0)) N))) (+ (* (log (sqrt (cbrt (+ N 1.0)))) 2) (log (/ (cbrt (+ N 1.0)) N))) (+ (* (log (cbrt (+ N 1.0))) 2) (log (/ (cbrt (+ N 1.0)) N))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0)))) (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (cbrt (cbrt (+ N 1.0)))) (log (cbrt (sqrt (+ N 1.0)))) (log (cbrt (sqrt (+ N 1.0)))) (log (cbrt 1)) (log (cbrt (+ N 1.0))) (log (cbrt 1)) (log (cbrt (+ N 1.0))) (log (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (log (cbrt (cbrt (+ N 1.0)))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (cbrt (+ N 1.0)))) (log 1) (log (cbrt (+ N 1.0))) (log (cbrt (+ (pow N 3) (pow 1.0 3)))) (log (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (- N 1.0))) (log (+ N 1.0)) (log (cbrt (+ N 1.0))) (log (log (cbrt (+ N 1.0)))) (exp (log (cbrt (+ N 1.0)))) (* (cbrt (log (cbrt (+ N 1.0)))) (cbrt (log (cbrt (+ N 1.0))))) (cbrt (log (cbrt (+ N 1.0)))) (* (* (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0)))) (sqrt (log (cbrt (+ N 1.0)))) (sqrt (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (- (+ (* 1.0 N) (+ (* 3 (log (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow (pow 1.0 2) 1/3))))) (+ (* 0.05555555555555555 (pow N 2)) (+ (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 4)) 1/3))) (+ (log N) (* 1/3 (/ (pow N 2) (pow 1.0 2))))))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (+ (* 2/3 (log (neg 1))) (+ (* 1/3 (log (/ -1 N))) (log (neg (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N)))))))))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (log (pow 1.0 1/3)) (* 0.3333333333333333 N)) (* 1/6 (/ (pow N 2) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (* 1/3 (log 1))) (+ (* 0.16666666666666666 (/ 1 (pow N 2))) (* 1/3 (log (/ 1 N))))) (- (+ (* 0.3333333333333333 (/ 1 N)) (* 1/3 (log (neg 1)))) (+ (* 0.16666666666666666 (/ 1 (pow N 2))) (* 1/3 (log (/ -1 N))))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) 0.507 * * [simplify]: iteration 0 : 575 enodes (cost 1058 ) 0.515 * * [simplify]: iteration 1 : 1844 enodes (cost 965 ) 0.542 * * [simplify]: iteration 2 : 5001 enodes (cost 900 ) 0.547 * [simplify]: Simplified to: (/ (pow (cbrt (+ N 1.0)) 3) N) (log (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)))) (/ (pow (cbrt (+ N 1.0)) 3) N) (* (cbrt (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)))) (cbrt (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N))))) (cbrt (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)))) (pow (+ (* (log (cbrt (+ N 1.0))) 2) (log (/ (cbrt (+ N 1.0)) N))) 3) (sqrt (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)))) (sqrt (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)))) (+ (pow (* 2 (log (cbrt (+ N 1.0)))) 3) (pow (log (/ (cbrt (+ N 1.0)) N)) 3)) (+ (* (log (/ (cbrt (+ N 1.0)) N)) (- (log (/ (cbrt (+ N 1.0)) N)) (* 2 (log (cbrt (+ N 1.0)))))) (* 4 (* (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))))) (* (- (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N))) (- (* 3 (log (cbrt (+ N 1.0)))) (log N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N))) (* 2 (+ (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (+ N 1.0))))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt (/ (cbrt (+ N 1.0)) N)))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (sqrt (+ N 1.0))) 1))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt 1) (* (cbrt N) (cbrt N))))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt 1) (sqrt N)))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt 1) 1))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt 1) (* (cbrt N) (cbrt N))))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt 1) (sqrt N)))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt 1) 1))) (- (* 2 (+ (log (cbrt (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))))) (* 2 (log (cbrt N)))) (- (* 2 (+ (log (cbrt (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))))) (log (sqrt N))) (* 2 (+ (log (cbrt (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (sqrt (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt N)))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (sqrt (cbrt (+ N 1.0))) 1))) (- (* 2 (log (cbrt (+ N 1.0)))) (* 2 (log (cbrt N)))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (* 2 (log (cbrt (+ N 1.0)))) (* 3 (log (cbrt (+ N 1.0)))) (+ (* (log (cbrt (cbrt (+ N 1.0)))) 2) (log (/ (cbrt (+ N 1.0)) N))) (+ (* (log (cbrt (sqrt (+ N 1.0)))) 2) (log (/ (cbrt (+ N 1.0)) N))) (- (* 3 (log (cbrt (+ N 1.0)))) (log N)) (- (* 3 (log (cbrt (+ N 1.0)))) (log N)) (+ (* (log (cbrt (cbrt (+ N 1.0)))) 2) (log (/ (cbrt (+ N 1.0)) N))) (+ (* (log (sqrt (cbrt (+ N 1.0)))) 2) (log (/ (cbrt (+ N 1.0)) N))) (- (* 3 (log (cbrt (+ N 1.0)))) (log N)) (+ (* (log (cbrt (cbrt (+ N 1.0)))) 2) (log (/ (cbrt (+ N 1.0)) N))) (+ (* (log (cbrt (sqrt (+ N 1.0)))) 2) (log (/ (cbrt (+ N 1.0)) N))) (- (* 3 (log (cbrt (+ N 1.0)))) (log N)) (- (* 3 (log (cbrt (+ N 1.0)))) (log N)) (+ (* (log (cbrt (cbrt (+ N 1.0)))) 2) (log (/ (cbrt (+ N 1.0)) N))) (+ (* (log (sqrt (cbrt (+ N 1.0)))) 2) (log (/ (cbrt (+ N 1.0)) N))) (- (* 3 (log (cbrt (+ N 1.0)))) (log N)) (* 3 (log (cbrt (+ N 1.0)))) (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (cbrt (cbrt (+ N 1.0)))) (log (cbrt (sqrt (+ N 1.0)))) (log (cbrt (sqrt (+ N 1.0)))) (log (cbrt 1)) (log (cbrt (+ N 1.0))) (log (cbrt 1)) (log (cbrt (+ N 1.0))) (* 2 (log (cbrt (cbrt (+ N 1.0))))) (log (cbrt (cbrt (+ N 1.0)))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (cbrt (+ N 1.0)))) 0 (log (cbrt (+ N 1.0))) (log (cbrt (+ (pow N 3) (pow 1.0 3)))) (log (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (- N 1.0))) (log (+ N 1.0)) (log (cbrt (+ N 1.0))) (log (log (cbrt (+ N 1.0)))) (cbrt (+ N 1.0)) (* (cbrt (log (cbrt (+ N 1.0)))) (cbrt (log (cbrt (+ N 1.0))))) (cbrt (log (cbrt (+ N 1.0)))) (pow (log (cbrt (+ N 1.0))) 3) (sqrt (log (cbrt (+ N 1.0)))) (sqrt (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (- (- (+ (log 1.0) (+ (* N 1.0) (* (pow N 2) (- (* 0.05555555555555555 (pow (pow 1.0 2) 1/3)) 0.05555555555555555)))) (+ (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 4)) 1/3))) (* 1/3 (/ (pow N 2) (pow 1.0 2))))) (log N)) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (+ (+ (* 2/3 (log -1)) (+ (* 1/3 (log (/ -1 N))) (log (neg (exp (* 1/3 (- (log -1) (log (/ -1 N))))))))) (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (- (+ (log (pow 1.0 1/3)) (* 0.3333333333333333 N)) (* 1/6 (/ (pow N 2) (pow 1.0 2)))) (+ (* (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N))) (* 1/3 (log N))) (+ (* (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N))) (* 1/3 (log N))) (+ (pow 1.0 1/3) (+ (* (pow 1.0 1/3) (+ (* 0.05555555555555555 (pow N 2)) (* 0.3333333333333333 N))) (* -1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3))))) (+ (+ (/ (neg (* (/ (pow N 1/3) (pow N 1/2)) (/ 0.1111111111111111 (pow N 1/2)))) N) (* (/ (pow N 1/3) (pow N 1/2)) (/ 0.3333333333333333 (pow N 1/2)))) (pow N 1/3)) (+ (+ (/ (neg (* (/ (pow N 1/3) (pow N 1/2)) (/ 0.1111111111111111 (pow N 1/2)))) N) (* (/ (pow N 1/3) (pow N 1/2)) (/ 0.3333333333333333 (pow N 1/2)))) (pow N 1/3)) (+ (pow 1.0 1/3) (+ (* (pow 1.0 1/3) (+ (* 0.05555555555555555 (pow N 2)) (* 0.3333333333333333 N))) (* -1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3))))) (+ (+ (/ (neg (* (/ (pow N 1/3) (pow N 1/2)) (/ 0.1111111111111111 (pow N 1/2)))) N) (* (/ (pow N 1/3) (pow N 1/2)) (/ 0.3333333333333333 (pow N 1/2)))) (pow N 1/3)) (+ (+ (/ (neg (* (/ (pow N 1/3) (pow N 1/2)) (/ 0.1111111111111111 (pow N 1/2)))) N) (* (/ (pow N 1/3) (pow N 1/2)) (/ 0.3333333333333333 (pow N 1/2)))) (pow N 1/3)) 0.547 * * * [progress]: adding candidates to table 0.782 * * [progress]: iteration 4 / 4 0.782 * * * [progress]: picking best candidate 0.795 * * * * [pick]: Picked # 0.795 * * * [progress]: localizing error 0.821 * * * [progress]: generating rewritten candidates 0.821 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.831 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 2) 0.834 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 0.838 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2) 0.843 * * * [progress]: generating series expansions 0.843 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.844 * [approximate]: Taking taylor expansion of (+ (pow (log (* (/ 1 N) (pow (+ N 1.0) 1/3))) 3) (* 8 (pow (log (pow (+ N 1.0) 1/3)) 3))) in (N) around 0 0.844 * [taylor]: Taking taylor expansion of (+ (pow (log (* (/ 1 N) (pow (+ N 1.0) 1/3))) 3) (* 8 (pow (log (pow (+ N 1.0) 1/3)) 3))) in N 0.844 * [taylor]: Taking taylor expansion of (pow (log (* (/ 1 N) (pow (+ N 1.0) 1/3))) 3) in N 0.844 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (pow (+ N 1.0) 1/3))) in N 0.844 * [taylor]: Taking taylor expansion of (* (/ 1 N) (pow (+ N 1.0) 1/3)) in N 0.844 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.844 * [taylor]: Taking taylor expansion of N in N 0.844 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.844 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.844 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.844 * [taylor]: Taking taylor expansion of 1/3 in N 0.844 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.844 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.844 * [taylor]: Taking taylor expansion of N in N 0.844 * [taylor]: Taking taylor expansion of 1.0 in N 0.844 * [taylor]: Taking taylor expansion of (* 8 (pow (log (pow (+ N 1.0) 1/3)) 3)) in N 0.844 * [taylor]: Taking taylor expansion of 8 in N 0.844 * [taylor]: Taking taylor expansion of (pow (log (pow (+ N 1.0) 1/3)) 3) in N 0.844 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 1/3)) in N 0.844 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.844 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.844 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.844 * [taylor]: Taking taylor expansion of 1/3 in N 0.844 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.845 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.845 * [taylor]: Taking taylor expansion of N in N 0.845 * [taylor]: Taking taylor expansion of 1.0 in N 0.845 * [taylor]: Taking taylor expansion of (+ (pow (log (* (/ 1 N) (pow (+ N 1.0) 1/3))) 3) (* 8 (pow (log (pow (+ N 1.0) 1/3)) 3))) in N 0.845 * [taylor]: Taking taylor expansion of (pow (log (* (/ 1 N) (pow (+ N 1.0) 1/3))) 3) in N 0.845 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (pow (+ N 1.0) 1/3))) in N 0.845 * [taylor]: Taking taylor expansion of (* (/ 1 N) (pow (+ N 1.0) 1/3)) in N 0.845 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.845 * [taylor]: Taking taylor expansion of N in N 0.845 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.845 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.845 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.845 * [taylor]: Taking taylor expansion of 1/3 in N 0.845 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.845 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.845 * [taylor]: Taking taylor expansion of N in N 0.845 * [taylor]: Taking taylor expansion of 1.0 in N 0.845 * [taylor]: Taking taylor expansion of (* 8 (pow (log (pow (+ N 1.0) 1/3)) 3)) in N 0.845 * [taylor]: Taking taylor expansion of 8 in N 0.845 * [taylor]: Taking taylor expansion of (pow (log (pow (+ N 1.0) 1/3)) 3) in N 0.845 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 1/3)) in N 0.845 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.845 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.845 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.845 * [taylor]: Taking taylor expansion of 1/3 in N 0.845 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.845 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.845 * [taylor]: Taking taylor expansion of N in N 0.845 * [taylor]: Taking taylor expansion of 1.0 in N 0.864 * [approximate]: Taking taylor expansion of (+ (pow (log (* N (pow (+ (/ 1 N) 1.0) 1/3))) 3) (* 8 (pow (log (pow (+ (/ 1 N) 1.0) 1/3)) 3))) in (N) around 0 0.864 * [taylor]: Taking taylor expansion of (+ (pow (log (* N (pow (+ (/ 1 N) 1.0) 1/3))) 3) (* 8 (pow (log (pow (+ (/ 1 N) 1.0) 1/3)) 3))) in N 0.864 * [taylor]: Taking taylor expansion of (pow (log (* N (pow (+ (/ 1 N) 1.0) 1/3))) 3) in N 0.864 * [taylor]: Taking taylor expansion of (log (* N (pow (+ (/ 1 N) 1.0) 1/3))) in N 0.864 * [taylor]: Taking taylor expansion of (* N (pow (+ (/ 1 N) 1.0) 1/3)) in N 0.864 * [taylor]: Taking taylor expansion of N in N 0.864 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.864 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.864 * [taylor]: Taking taylor expansion of 1/3 in N 0.864 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.865 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.865 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.865 * [taylor]: Taking taylor expansion of N in N 0.865 * [taylor]: Taking taylor expansion of 1.0 in N 0.865 * [taylor]: Taking taylor expansion of (* 8 (pow (log (pow (+ (/ 1 N) 1.0) 1/3)) 3)) in N 0.865 * [taylor]: Taking taylor expansion of 8 in N 0.865 * [taylor]: Taking taylor expansion of (pow (log (pow (+ (/ 1 N) 1.0) 1/3)) 3) in N 0.865 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 1/3)) in N 0.865 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.865 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.865 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.865 * [taylor]: Taking taylor expansion of 1/3 in N 0.865 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.866 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.866 * [taylor]: Taking taylor expansion of N in N 0.866 * [taylor]: Taking taylor expansion of 1.0 in N 0.866 * [taylor]: Taking taylor expansion of (+ (pow (log (* N (pow (+ (/ 1 N) 1.0) 1/3))) 3) (* 8 (pow (log (pow (+ (/ 1 N) 1.0) 1/3)) 3))) in N 0.866 * [taylor]: Taking taylor expansion of (pow (log (* N (pow (+ (/ 1 N) 1.0) 1/3))) 3) in N 0.866 * [taylor]: Taking taylor expansion of (log (* N (pow (+ (/ 1 N) 1.0) 1/3))) in N 0.866 * [taylor]: Taking taylor expansion of (* N (pow (+ (/ 1 N) 1.0) 1/3)) in N 0.866 * [taylor]: Taking taylor expansion of N in N 0.866 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.866 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.866 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.866 * [taylor]: Taking taylor expansion of 1/3 in N 0.866 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.866 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.866 * [taylor]: Taking taylor expansion of N in N 0.866 * [taylor]: Taking taylor expansion of 1.0 in N 0.867 * [taylor]: Taking taylor expansion of (* 8 (pow (log (pow (+ (/ 1 N) 1.0) 1/3)) 3)) in N 0.867 * [taylor]: Taking taylor expansion of 8 in N 0.867 * [taylor]: Taking taylor expansion of (pow (log (pow (+ (/ 1 N) 1.0) 1/3)) 3) in N 0.867 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 1/3)) in N 0.867 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.867 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.867 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.867 * [taylor]: Taking taylor expansion of 1/3 in N 0.867 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.867 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.867 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.867 * [taylor]: Taking taylor expansion of N in N 0.867 * [taylor]: Taking taylor expansion of 1.0 in N 0.878 * [approximate]: Taking taylor expansion of (+ (* 8 (pow (log (pow (- 1.0 (/ 1 N)) 1/3)) 3)) (pow (log (* -1 (* N (pow (- 1.0 (/ 1 N)) 1/3)))) 3)) in (N) around 0 0.878 * [taylor]: Taking taylor expansion of (+ (* 8 (pow (log (pow (- 1.0 (/ 1 N)) 1/3)) 3)) (pow (log (* -1 (* N (pow (- 1.0 (/ 1 N)) 1/3)))) 3)) in N 0.878 * [taylor]: Taking taylor expansion of (* 8 (pow (log (pow (- 1.0 (/ 1 N)) 1/3)) 3)) in N 0.878 * [taylor]: Taking taylor expansion of 8 in N 0.878 * [taylor]: Taking taylor expansion of (pow (log (pow (- 1.0 (/ 1 N)) 1/3)) 3) in N 0.878 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 1/3)) in N 0.878 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.878 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.878 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.878 * [taylor]: Taking taylor expansion of 1/3 in N 0.878 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.878 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.878 * [taylor]: Taking taylor expansion of 1.0 in N 0.878 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.878 * [taylor]: Taking taylor expansion of N in N 0.879 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (pow (- 1.0 (/ 1 N)) 1/3)))) 3) in N 0.879 * [taylor]: Taking taylor expansion of (log (* -1 (* N (pow (- 1.0 (/ 1 N)) 1/3)))) in N 0.879 * [taylor]: Taking taylor expansion of (* -1 (* N (pow (- 1.0 (/ 1 N)) 1/3))) in N 0.879 * [taylor]: Taking taylor expansion of -1 in N 0.879 * [taylor]: Taking taylor expansion of (* N (pow (- 1.0 (/ 1 N)) 1/3)) in N 0.879 * [taylor]: Taking taylor expansion of N in N 0.879 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.879 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.879 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.879 * [taylor]: Taking taylor expansion of 1/3 in N 0.879 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.879 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.879 * [taylor]: Taking taylor expansion of 1.0 in N 0.879 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.879 * [taylor]: Taking taylor expansion of N in N 0.880 * [taylor]: Taking taylor expansion of (+ (* 8 (pow (log (pow (- 1.0 (/ 1 N)) 1/3)) 3)) (pow (log (* -1 (* N (pow (- 1.0 (/ 1 N)) 1/3)))) 3)) in N 0.880 * [taylor]: Taking taylor expansion of (* 8 (pow (log (pow (- 1.0 (/ 1 N)) 1/3)) 3)) in N 0.880 * [taylor]: Taking taylor expansion of 8 in N 0.880 * [taylor]: Taking taylor expansion of (pow (log (pow (- 1.0 (/ 1 N)) 1/3)) 3) in N 0.880 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 1/3)) in N 0.880 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.880 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.880 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.880 * [taylor]: Taking taylor expansion of 1/3 in N 0.880 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.880 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.880 * [taylor]: Taking taylor expansion of 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 0.883 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (pow (- 1.0 (/ 1 N)) 1/3)))) 3) in N 0.883 * [taylor]: Taking taylor expansion of (log (* -1 (* N (pow (- 1.0 (/ 1 N)) 1/3)))) in N 0.883 * [taylor]: Taking taylor expansion of (* -1 (* N (pow (- 1.0 (/ 1 N)) 1/3))) in N 0.883 * [taylor]: Taking taylor expansion of -1 in N 0.883 * [taylor]: Taking taylor expansion of (* N (pow (- 1.0 (/ 1 N)) 1/3)) in N 0.883 * [taylor]: Taking taylor expansion of N in N 0.883 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.883 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.883 * [taylor]: Taking taylor expansion of 1/3 in N 0.883 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.883 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.883 * [taylor]: Taking taylor expansion of 1.0 in N 0.883 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.883 * [taylor]: Taking taylor expansion of N in N 0.900 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 2) 0.900 * [approximate]: Taking taylor expansion of (log (pow (+ N 1.0) 1/3)) in (N) around 0 0.900 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 1/3)) in N 0.900 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.900 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.900 * [taylor]: Taking taylor expansion of 1/3 in N 0.900 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.900 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.900 * [taylor]: Taking taylor expansion of N in N 0.900 * [taylor]: Taking taylor expansion of 1.0 in N 0.900 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 1/3)) in N 0.900 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.900 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.900 * [taylor]: Taking taylor expansion of 1/3 in N 0.900 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.900 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.900 * [taylor]: Taking taylor expansion of N in N 0.900 * [taylor]: Taking taylor expansion of 1.0 in N 0.902 * [approximate]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 1/3)) in (N) around 0 0.902 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 1/3)) in N 0.902 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.902 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.902 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.902 * [taylor]: Taking taylor expansion of 1/3 in N 0.902 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.902 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.902 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.902 * [taylor]: Taking taylor expansion of N in N 0.902 * [taylor]: Taking taylor expansion of 1.0 in N 0.903 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 1/3)) in N 0.903 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.903 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.903 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.903 * [taylor]: Taking taylor expansion of 1/3 in N 0.903 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.903 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.903 * [taylor]: Taking taylor expansion of N in N 0.903 * [taylor]: Taking taylor expansion of 1.0 in N 0.905 * [approximate]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 1/3)) in (N) around 0 0.905 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 1/3)) in N 0.905 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.905 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.905 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.905 * [taylor]: Taking taylor expansion of 1/3 in N 0.905 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.905 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.905 * [taylor]: Taking taylor expansion of 1.0 in N 0.905 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.905 * [taylor]: Taking taylor expansion of N in N 0.905 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 1/3)) in N 0.905 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.905 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.905 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.905 * [taylor]: Taking taylor expansion of 1/3 in N 0.905 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.905 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.905 * [taylor]: Taking taylor expansion of 1.0 in N 0.905 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.905 * [taylor]: Taking taylor expansion of N in N 0.907 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 0.907 * [approximate]: Taking taylor expansion of (log (pow (+ N 1.0) 1/3)) in (N) around 0 0.907 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 1/3)) in N 0.908 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.908 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.908 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.908 * [taylor]: Taking taylor expansion of 1/3 in N 0.908 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.908 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.908 * [taylor]: Taking taylor expansion of N in N 0.908 * [taylor]: Taking taylor expansion of 1.0 in N 0.908 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 1/3)) in N 0.908 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.908 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.908 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.908 * [taylor]: Taking taylor expansion of 1/3 in N 0.908 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.908 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.908 * [taylor]: Taking taylor expansion of N in N 0.908 * [taylor]: Taking taylor expansion of 1.0 in N 0.910 * [approximate]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 1/3)) in (N) around 0 0.910 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 1/3)) in N 0.910 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.910 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.910 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.910 * [taylor]: Taking taylor expansion of 1/3 in N 0.910 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.910 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.910 * [taylor]: Taking taylor expansion of N in N 0.910 * [taylor]: Taking taylor expansion of 1.0 in N 0.910 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 1/3)) in N 0.910 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.910 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.910 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.910 * [taylor]: Taking taylor expansion of 1/3 in N 0.910 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.910 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.910 * [taylor]: Taking taylor expansion of N in N 0.910 * [taylor]: Taking taylor expansion of 1.0 in N 0.912 * [approximate]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 1/3)) in (N) around 0 0.912 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 1/3)) in N 0.912 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.912 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.912 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.912 * [taylor]: Taking taylor expansion of 1/3 in N 0.912 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.912 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.912 * [taylor]: Taking taylor expansion of 1.0 in N 0.912 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.912 * [taylor]: Taking taylor expansion of N in N 0.913 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 1/3)) in N 0.913 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.913 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.913 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.913 * [taylor]: Taking taylor expansion of 1/3 in N 0.913 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.913 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.913 * [taylor]: Taking taylor expansion of 1.0 in N 0.913 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.913 * [taylor]: Taking taylor expansion of N in N 0.915 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2) 0.915 * [approximate]: Taking taylor expansion of (log (pow (+ N 1.0) 1/3)) in (N) around 0 0.915 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 1/3)) in N 0.915 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.915 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.915 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.915 * [taylor]: Taking taylor expansion of 1/3 in N 0.915 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.915 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.915 * [taylor]: Taking taylor expansion of N in N 0.915 * [taylor]: Taking taylor expansion of 1.0 in N 0.915 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 1/3)) in N 0.915 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.915 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.915 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.915 * [taylor]: Taking taylor expansion of 1/3 in N 0.915 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.915 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.915 * [taylor]: Taking taylor expansion of N in N 0.915 * [taylor]: Taking taylor expansion of 1.0 in N 0.917 * [approximate]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 1/3)) in (N) around 0 0.917 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 1/3)) in N 0.917 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.917 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.917 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.917 * [taylor]: Taking taylor expansion of 1/3 in N 0.917 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.917 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.917 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.917 * [taylor]: Taking taylor expansion of N in N 0.917 * [taylor]: Taking taylor expansion of 1.0 in N 0.918 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 1/3)) in N 0.918 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.918 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.918 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.918 * [taylor]: Taking taylor expansion of 1/3 in N 0.918 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.918 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.918 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.918 * [taylor]: Taking taylor expansion of N in N 0.918 * [taylor]: Taking taylor expansion of 1.0 in N 0.920 * [approximate]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 1/3)) in (N) around 0 0.920 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 1/3)) in N 0.920 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.920 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.920 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.920 * [taylor]: Taking taylor expansion of 1/3 in N 0.920 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.920 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.920 * [taylor]: Taking taylor expansion of 1.0 in N 0.920 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.920 * [taylor]: Taking taylor expansion of N in N 0.920 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 1/3)) in N 0.920 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.920 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.920 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.920 * [taylor]: Taking taylor expansion of 1/3 in N 0.920 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.920 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.920 * [taylor]: Taking taylor expansion of 1.0 in N 0.920 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.920 * [taylor]: Taking taylor expansion of N in N 0.922 * * * [progress]: simplifying candidates 0.924 * [simplify]: Simplifying using # : (* (exp (pow (* 2 (log (cbrt (+ N 1.0)))) 3)) (exp (pow (log (/ (cbrt (+ N 1.0)) N)) 3))) (log (+ (pow (* 2 (log (cbrt (+ N 1.0)))) 3) (pow (log (/ (cbrt (+ N 1.0)) N)) 3))) (exp (+ (pow (* 2 (log (cbrt (+ N 1.0)))) 3) (pow (log (/ (cbrt (+ N 1.0)) N)) 3))) (* (cbrt (+ (pow (* 2 (log (cbrt (+ N 1.0)))) 3) (pow (log (/ (cbrt (+ N 1.0)) N)) 3))) (cbrt (+ (pow (* 2 (log (cbrt (+ N 1.0)))) 3) (pow (log (/ (cbrt (+ N 1.0)) N)) 3)))) (cbrt (+ (pow (* 2 (log (cbrt (+ N 1.0)))) 3) (pow (log (/ (cbrt (+ N 1.0)) N)) 3))) (* (* (+ (pow (* 2 (log (cbrt (+ N 1.0)))) 3) (pow (log (/ (cbrt (+ N 1.0)) N)) 3)) (+ (pow (* 2 (log (cbrt (+ N 1.0)))) 3) (pow (log (/ (cbrt (+ N 1.0)) N)) 3))) (+ (pow (* 2 (log (cbrt (+ N 1.0)))) 3) (pow (log (/ (cbrt (+ N 1.0)) N)) 3))) (sqrt (+ (pow (* 2 (log (cbrt (+ N 1.0)))) 3) (pow (log (/ (cbrt (+ N 1.0)) N)) 3))) (sqrt (+ (pow (* 2 (log (cbrt (+ N 1.0)))) 3) (pow (log (/ (cbrt (+ N 1.0)) N)) 3))) (+ (* (* 2 (log (cbrt (+ N 1.0)))) (* 2 (log (cbrt (+ N 1.0))))) (- (* (log (/ (cbrt (+ N 1.0)) N)) (log (/ (cbrt (+ N 1.0)) N))) (* (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N))))) (+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N))) (+ (pow (pow (* 2 (log (cbrt (+ N 1.0)))) 3) 3) (pow (pow (log (/ (cbrt (+ N 1.0)) N)) 3) 3)) (+ (* (pow (* 2 (log (cbrt (+ N 1.0)))) 3) (pow (* 2 (log (cbrt (+ N 1.0)))) 3)) (- (* (pow (log (/ (cbrt (+ N 1.0)) N)) 3) (pow (log (/ (cbrt (+ N 1.0)) N)) 3)) (* (pow (* 2 (log (cbrt (+ N 1.0)))) 3) (pow (log (/ (cbrt (+ N 1.0)) N)) 3)))) (- (* (pow (* 2 (log (cbrt (+ N 1.0)))) 3) (pow (* 2 (log (cbrt (+ N 1.0)))) 3)) (* (pow (log (/ (cbrt (+ N 1.0)) N)) 3) (pow (log (/ (cbrt (+ N 1.0)) N)) 3))) (- (pow (* 2 (log (cbrt (+ N 1.0)))) 3) (pow (log (/ (cbrt (+ N 1.0)) N)) 3)) (+ (pow (* 2 (log (cbrt (+ N 1.0)))) 3) (pow (log (/ (cbrt (+ N 1.0)) N)) 3)) (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (cbrt (cbrt (+ N 1.0)))) (log (cbrt (sqrt (+ N 1.0)))) (log (cbrt (sqrt (+ N 1.0)))) (log (cbrt 1)) (log (cbrt (+ N 1.0))) (log (cbrt 1)) (log (cbrt (+ N 1.0))) (log (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (log (cbrt (cbrt (+ N 1.0)))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (cbrt (+ N 1.0)))) (log 1) (log (cbrt (+ N 1.0))) (log (cbrt (+ (pow N 3) (pow 1.0 3)))) (log (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (- N 1.0))) (log (+ N 1.0)) (log (cbrt (+ N 1.0))) (log (log (cbrt (+ N 1.0)))) (exp (log (cbrt (+ N 1.0)))) (* (cbrt (log (cbrt (+ N 1.0)))) (cbrt (log (cbrt (+ N 1.0))))) (cbrt (log (cbrt (+ N 1.0)))) (* (* (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0)))) (sqrt (log (cbrt (+ N 1.0)))) (sqrt (log (cbrt (+ N 1.0)))) (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (cbrt (cbrt (+ N 1.0)))) (log (cbrt (sqrt (+ N 1.0)))) (log (cbrt (sqrt (+ N 1.0)))) (log (cbrt 1)) (log (cbrt (+ N 1.0))) (log (cbrt 1)) (log (cbrt (+ N 1.0))) (log (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (log (cbrt (cbrt (+ N 1.0)))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (cbrt (+ N 1.0)))) (log 1) (log (cbrt (+ N 1.0))) (log (cbrt (+ (pow N 3) (pow 1.0 3)))) (log (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (- N 1.0))) (log (+ N 1.0)) (log (cbrt (+ N 1.0))) (log (log (cbrt (+ N 1.0)))) (exp (log (cbrt (+ N 1.0)))) (* (cbrt (log (cbrt (+ N 1.0)))) (cbrt (log (cbrt (+ N 1.0))))) (cbrt (log (cbrt (+ N 1.0)))) (* (* (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0)))) (sqrt (log (cbrt (+ N 1.0)))) (sqrt (log (cbrt (+ N 1.0)))) (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (cbrt (cbrt (+ N 1.0)))) (log (cbrt (sqrt (+ N 1.0)))) (log (cbrt (sqrt (+ N 1.0)))) (log (cbrt 1)) (log (cbrt (+ N 1.0))) (log (cbrt 1)) (log (cbrt (+ N 1.0))) (log (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (log (cbrt (cbrt (+ N 1.0)))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (cbrt (+ N 1.0)))) (log 1) (log (cbrt (+ N 1.0))) (log (cbrt (+ (pow N 3) (pow 1.0 3)))) (log (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (- N 1.0))) (log (+ N 1.0)) (log (cbrt (+ N 1.0))) (log (log (cbrt (+ N 1.0)))) (exp (log (cbrt (+ N 1.0)))) (* (cbrt (log (cbrt (+ N 1.0)))) (cbrt (log (cbrt (+ N 1.0))))) (cbrt (log (cbrt (+ N 1.0)))) (* (* (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0)))) (sqrt (log (cbrt (+ N 1.0)))) (sqrt (log (cbrt (+ N 1.0)))) (- (+ (* (* (log (pow 1.0 1/3)) (* (pow N 2) (log N))) (pow (/ 1 (pow 1.0 4)) 1/3)) (+ (* 1.0 (* N (pow (log N) 2))) (+ (* 0.16666666666666666 (* (* (pow (log (pow 1.0 1/3)) 2) (pow N 2)) (pow (pow 1.0 2) 1/3))) (+ (* 3.0 (* (log (pow 1.0 1/3)) (pow N 2))) (+ (* 9 (pow (log (pow 1.0 1/3)) 3)) (+ (* 3 (* (log (pow 1.0 1/3)) (pow (log N) 2))) (+ (* 9.0 (* (pow (log (pow 1.0 1/3)) 2) N)) (+ (* 0.16666666666666666 (* (* (pow N 2) (pow (log N) 2)) (pow (pow 1.0 2) 1/3))) (* 0.3333333333333333 (* (log (pow 1.0 1/3)) (* (pow N 2) (log N)))))))))))) (+ (* 1.9999999999999998 (* (log (pow 1.0 1/3)) (* N (log N)))) (+ (* 0.3333333333333333 (* (pow N 2) (log N))) (+ (pow (log N) 3) (+ (* 4 (/ (* (pow (log (pow 1.0 1/3)) 2) (pow N 2)) (pow 1.0 2))) (+ (* 0.3333333333333333 (* (* (log (pow 1.0 1/3)) (* (pow N 2) (log N))) (pow (pow 1.0 2) 1/3))) (+ (* 1/2 (* (* (pow (log (pow 1.0 1/3)) 2) (pow N 2)) (pow (/ 1 (pow 1.0 4)) 1/3))) (+ (* 0.16666666666666666 (* (pow N 2) (pow (log N) 2))) (+ (* 3 (* (pow (log (pow 1.0 1/3)) 2) (log N))) (+ (* 1/2 (* (* (pow N 2) (pow (log N) 2)) (pow (/ 1 (pow 1.0 4)) 1/3))) (* 0.16666666666666666 (* (pow (log (pow 1.0 1/3)) 2) (pow N 2))))))))))))) (- (+ (* 1.3333333333333333 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 0.6666666666666666 (/ (* (log 1) (log (/ 1 N))) (pow N 2))) (+ (* 1.0 (/ (pow (log 1) 2) N)) (+ (* 1.0 (/ (log 1) (pow N 2))) (+ (* 1/3 (pow (log 1) 3)) (* 4/3 (* (log 1) (pow (log (/ 1 N)) 2)))))))) (+ (* 0.5 (/ (pow (log 1) 2) (pow N 2))) (+ (* 2/3 (* (pow (log 1) 2) (log (/ 1 N)))) (+ (* 0.6666666666666666 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 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(+ (* 0.16666666666666666 (/ 1 (pow N 2))) (* 1/3 (log (/ -1 N))))) (- (+ (log (pow 1.0 1/3)) (* 0.3333333333333333 N)) (* 1/6 (/ (pow N 2) (pow 1.0 2)))) (- (* 0.3333333333333333 (/ 1 N)) (+ (* 0.16666666666666666 (/ 1 (pow N 2))) (* 1/3 (log (/ 1 N))))) (- (+ (* 0.3333333333333333 (/ 1 N)) (* 1/3 (log -1))) (+ (* 0.16666666666666666 (/ 1 (pow N 2))) (* 1/3 (log (/ -1 N))))) 1.010 * * * [progress]: adding candidates to table 1.517 * [progress]: [Phase 3 of 3] Extracting. 1.517 * * [regime]: Finding splitpoints for: (# # # # #) 1.519 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.519 * * * * [regimes]: Trying to branch on N from (# # # # #) 1.563 * * * [regime]: Found split indices: #