4.581 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.036 * * * [progress]: [2/2] Setting up program. 0.038 * [progress]: [Phase 2 of 3] Improving. 0.039 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.040 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.041 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.042 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.042 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.043 * * [progress]: iteration 1 / 4 0.043 * * * [progress]: picking best candidate 0.045 * * * * [pick]: Picked # 0.045 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.058 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.062 * * * [progress]: generating series expansions 0.062 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.062 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.062 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.062 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.062 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.062 * [taylor]: Taking taylor expansion of N in N 0.062 * [taylor]: Taking taylor expansion of 1.0 in N 0.062 * [taylor]: Taking taylor expansion of (log N) in N 0.062 * [taylor]: Taking taylor expansion of N in N 0.062 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.062 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.062 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.062 * [taylor]: Taking taylor expansion of N in N 0.062 * [taylor]: Taking taylor expansion of 1.0 in N 0.062 * [taylor]: Taking taylor expansion of (log N) in N 0.062 * [taylor]: Taking taylor expansion of N in N 0.064 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.064 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.064 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.065 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.065 * [taylor]: Taking taylor expansion of N in N 0.065 * [taylor]: Taking taylor expansion of 1.0 in N 0.065 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.065 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.065 * [taylor]: Taking taylor expansion of N in N 0.065 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.065 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.065 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.065 * [taylor]: Taking taylor expansion of N in N 0.065 * [taylor]: Taking taylor expansion of 1.0 in N 0.065 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.065 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.065 * [taylor]: Taking taylor expansion of N in N 0.067 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.067 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.067 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.067 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.067 * [taylor]: Taking taylor expansion of 1.0 in N 0.067 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.067 * [taylor]: Taking taylor expansion of N in N 0.067 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.067 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.067 * [taylor]: Taking taylor expansion of -1 in N 0.067 * [taylor]: Taking taylor expansion of N in N 0.067 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.067 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.067 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.067 * [taylor]: Taking taylor expansion of 1.0 in N 0.067 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.067 * [taylor]: Taking taylor expansion of N in N 0.067 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.067 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.067 * [taylor]: Taking taylor expansion of -1 in N 0.067 * [taylor]: Taking taylor expansion of N in N 0.068 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.069 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.069 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.069 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.069 * [taylor]: Taking taylor expansion of N in N 0.069 * [taylor]: Taking taylor expansion of 1.0 in N 0.069 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.069 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.069 * [taylor]: Taking taylor expansion of N in N 0.069 * [taylor]: Taking taylor expansion of 1.0 in N 0.070 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.070 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.070 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.070 * [taylor]: Taking taylor expansion of 1.0 in N 0.070 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.070 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.070 * [taylor]: Taking taylor expansion of 1.0 in N 0.071 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.071 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.071 * [taylor]: Taking taylor expansion of 1.0 in N 0.071 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.071 * [taylor]: Taking taylor expansion of N in N 0.071 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.071 * [taylor]: Taking taylor expansion of 1.0 in N 0.071 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.071 * [taylor]: Taking taylor expansion of N in N 0.072 * * * [progress]: simplifying candidates 0.072 * [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)))) 0.076 * * [simplify]: iteration 0 : 232 enodes (cost 285 ) 0.079 * * [simplify]: iteration 1 : 628 enodes (cost 264 ) 0.088 * * [simplify]: iteration 2 : 2171 enodes (cost 244 ) 0.125 * * [simplify]: iteration 3 : 5001 enodes (cost 244 ) 0.127 * [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)) 0.127 * * * [progress]: adding candidates to table 0.207 * * [progress]: iteration 2 / 4 0.207 * * * [progress]: picking best candidate 0.215 * * * * [pick]: Picked # 0.215 * * * [progress]: localizing error 0.220 * * * [progress]: generating rewritten candidates 0.220 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.224 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.232 * * * [progress]: generating series expansions 0.232 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.232 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.232 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.232 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.232 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.232 * [taylor]: Taking taylor expansion of N in N 0.232 * [taylor]: Taking taylor expansion of 1.0 in N 0.232 * [taylor]: Taking taylor expansion of N in N 0.232 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.232 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.232 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.232 * [taylor]: Taking taylor expansion of N in N 0.232 * [taylor]: Taking taylor expansion of 1.0 in N 0.232 * [taylor]: Taking taylor expansion of N in N 0.233 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.233 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.233 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.233 * [taylor]: Taking taylor expansion of N in N 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.233 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.233 * [taylor]: Taking taylor expansion of N in N 0.233 * [taylor]: Taking taylor expansion of 1.0 in N 0.233 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.233 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.233 * [taylor]: Taking taylor expansion of N in N 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.233 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.233 * [taylor]: Taking taylor expansion of N in N 0.233 * [taylor]: Taking taylor expansion of 1.0 in N 0.234 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.234 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.234 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.234 * [taylor]: Taking taylor expansion of -1 in N 0.234 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.234 * [taylor]: Taking taylor expansion of N in N 0.234 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.234 * [taylor]: Taking taylor expansion of 1.0 in N 0.234 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.234 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.235 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.235 * [taylor]: Taking taylor expansion of -1 in N 0.235 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.235 * [taylor]: Taking taylor expansion of 1.0 in N 0.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.236 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.236 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.236 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.236 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 N in N 0.236 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.236 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 N in N 0.237 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.237 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.237 * [taylor]: Taking taylor expansion of N in N 0.237 * [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 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.237 * [taylor]: Taking taylor expansion of N in N 0.237 * [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 0.238 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 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 0.238 * [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 0.240 * * * [progress]: simplifying candidates 0.241 * [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) 0.245 * * [simplify]: iteration 0 : 221 enodes (cost 370 ) 0.249 * * [simplify]: iteration 1 : 736 enodes (cost 343 ) 0.261 * * [simplify]: iteration 2 : 3220 enodes (cost 333 ) 0.329 * * [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) 0.332 * * * [progress]: adding candidates to table 0.408 * * [progress]: iteration 3 / 4 0.408 * * * [progress]: picking best candidate 0.417 * * * * [pick]: Picked # 0.417 * * * [progress]: localizing error 0.426 * * * [progress]: generating rewritten candidates 0.426 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.431 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.436 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.440 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.448 * * * [progress]: generating series expansions 0.448 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.448 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 0.448 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.448 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.448 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.448 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.448 * [taylor]: Taking taylor expansion of 1/3 in N 0.448 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.448 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.448 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.448 * [taylor]: Taking taylor expansion of N in N 0.448 * [taylor]: Taking taylor expansion of 1.0 in N 0.448 * [taylor]: Taking taylor expansion of N in N 0.448 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.448 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.448 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.448 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.449 * [taylor]: Taking taylor expansion of 1/3 in N 0.449 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.449 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.449 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.449 * [taylor]: Taking taylor expansion of N in N 0.449 * [taylor]: Taking taylor expansion of 1.0 in N 0.449 * [taylor]: Taking taylor expansion of N in N 0.451 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 0.451 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.451 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.451 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.452 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.452 * [taylor]: Taking taylor expansion of 1/3 in N 0.452 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.452 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.452 * [taylor]: Taking taylor expansion of N in N 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.452 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.452 * [taylor]: Taking taylor expansion of N in N 0.452 * [taylor]: Taking taylor expansion of 1.0 in N 0.452 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.452 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.452 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.452 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.452 * [taylor]: Taking taylor expansion of 1/3 in N 0.452 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.452 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.452 * [taylor]: Taking taylor expansion of N in N 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.452 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.452 * [taylor]: Taking taylor expansion of N in N 0.452 * [taylor]: Taking taylor expansion of 1.0 in N 0.454 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 0.454 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 0.454 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.454 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.454 * [taylor]: Taking taylor expansion of -1 in N 0.454 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.454 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.454 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.454 * [taylor]: Taking taylor expansion of 1/3 in N 0.454 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.454 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.454 * [taylor]: Taking taylor expansion of N in N 0.454 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.454 * [taylor]: Taking taylor expansion of 1.0 in N 0.454 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.454 * [taylor]: Taking taylor expansion of N in N 0.455 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 0.455 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.455 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.455 * [taylor]: Taking taylor expansion of -1 in N 0.455 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.455 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.455 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.455 * [taylor]: Taking taylor expansion of 1/3 in N 0.455 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.455 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.455 * [taylor]: Taking taylor expansion of N in N 0.455 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.455 * [taylor]: Taking taylor expansion of 1.0 in N 0.455 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.455 * [taylor]: Taking taylor expansion of N in N 0.458 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.459 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 0.459 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.459 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.459 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.459 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.459 * [taylor]: Taking taylor expansion of 1/3 in N 0.459 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.459 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.459 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.459 * [taylor]: Taking taylor expansion of N in N 0.459 * [taylor]: Taking taylor expansion of 1.0 in N 0.459 * [taylor]: Taking taylor expansion of N in N 0.459 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.459 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.459 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.459 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.459 * [taylor]: Taking taylor expansion of 1/3 in N 0.459 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.459 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.459 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.459 * [taylor]: Taking taylor expansion of N in N 0.459 * [taylor]: Taking taylor expansion of 1.0 in N 0.459 * [taylor]: Taking taylor expansion of N in N 0.461 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 0.462 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.462 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.462 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 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 (* N (+ (/ 1 N) 1.0))) in N 0.462 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.462 * [taylor]: Taking taylor expansion of N 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 0.462 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.462 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.462 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 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 (* N (+ (/ 1 N) 1.0))) in N 0.462 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.462 * [taylor]: Taking taylor expansion of N 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 0.464 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 0.464 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 0.464 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.464 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.464 * [taylor]: Taking taylor expansion of -1 in N 0.464 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.464 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.464 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.464 * [taylor]: Taking taylor expansion of 1/3 in N 0.464 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.464 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.464 * [taylor]: Taking taylor expansion of N in N 0.464 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.464 * [taylor]: Taking taylor expansion of 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 (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 0.464 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.464 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.465 * [taylor]: Taking taylor expansion of -1 in N 0.465 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.465 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.465 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.465 * [taylor]: Taking taylor expansion of 1/3 in N 0.465 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.465 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.465 * [taylor]: Taking taylor expansion of N in N 0.465 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.465 * [taylor]: Taking taylor expansion of 1.0 in N 0.465 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.465 * [taylor]: Taking taylor expansion of N in N 0.468 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.468 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 0.468 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.468 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.468 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.468 * [taylor]: Taking taylor expansion of 1/3 in N 0.468 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.468 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.468 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.468 * [taylor]: Taking taylor expansion of N in N 0.468 * [taylor]: Taking taylor expansion of 1.0 in N 0.468 * [taylor]: Taking taylor expansion of N in N 0.469 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.469 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.469 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.469 * [taylor]: Taking taylor expansion of 1/3 in N 0.469 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.469 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.469 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.469 * [taylor]: Taking taylor expansion of N in N 0.469 * [taylor]: Taking taylor expansion of 1.0 in N 0.469 * [taylor]: Taking taylor expansion of N in N 0.471 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 0.471 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.471 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.471 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.471 * [taylor]: Taking taylor expansion of 1/3 in N 0.471 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.471 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.471 * [taylor]: Taking taylor expansion of N in N 0.471 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 0.471 * [taylor]: Taking taylor expansion of 1.0 in N 0.471 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.471 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.471 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.471 * [taylor]: Taking taylor expansion of 1/3 in N 0.471 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.471 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.471 * [taylor]: Taking taylor expansion of N in N 0.471 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 0.471 * [taylor]: Taking taylor expansion of 1.0 in N 0.472 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in (N) around 0 0.472 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.472 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.472 * [taylor]: Taking taylor expansion of -1 in N 0.473 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.473 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.473 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.473 * [taylor]: Taking taylor expansion of 1/3 in N 0.473 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.473 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.473 * [taylor]: Taking taylor expansion of N in N 0.473 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.473 * [taylor]: Taking taylor expansion of 1.0 in N 0.473 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.473 * [taylor]: Taking taylor expansion of N in N 0.473 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.473 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.473 * [taylor]: Taking taylor expansion of -1 in N 0.473 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.473 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.473 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.473 * [taylor]: Taking taylor expansion of 1/3 in N 0.473 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.473 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.473 * [taylor]: Taking taylor expansion of N in N 0.473 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.473 * [taylor]: Taking taylor expansion of 1.0 in N 0.473 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.473 * [taylor]: Taking taylor expansion of N in N 0.476 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.476 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 0.476 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.476 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.476 * [taylor]: Taking taylor expansion of 1/3 in N 0.476 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.476 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.476 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.476 * [taylor]: Taking taylor expansion of N in N 0.476 * [taylor]: Taking taylor expansion of 1.0 in N 0.477 * [taylor]: Taking taylor expansion of N in N 0.477 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.477 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.477 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.477 * [taylor]: Taking taylor expansion of 1/3 in N 0.477 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.477 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.477 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.477 * [taylor]: Taking taylor expansion of N in N 0.477 * [taylor]: Taking taylor expansion of 1.0 in N 0.477 * [taylor]: Taking taylor expansion of N in N 0.479 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 0.479 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.479 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.479 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.479 * [taylor]: Taking taylor expansion of 1/3 in N 0.479 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.479 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.479 * [taylor]: Taking taylor expansion of N in N 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.479 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.479 * [taylor]: Taking taylor expansion of N in N 0.479 * [taylor]: Taking taylor expansion of 1.0 in N 0.479 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.479 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.479 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.479 * [taylor]: Taking taylor expansion of 1/3 in N 0.479 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.479 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.479 * [taylor]: Taking taylor expansion of N in N 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.479 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.479 * [taylor]: Taking taylor expansion of N in N 0.479 * [taylor]: Taking taylor expansion of 1.0 in N 0.481 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in (N) around 0 0.481 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.481 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.481 * [taylor]: Taking taylor expansion of -1 in N 0.481 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.481 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.481 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.481 * [taylor]: Taking taylor expansion of 1/3 in N 0.481 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.481 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.481 * [taylor]: Taking taylor expansion of N in N 0.481 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.481 * [taylor]: Taking taylor expansion of 1.0 in N 0.481 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.481 * [taylor]: Taking taylor expansion of N in N 0.481 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.481 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.481 * [taylor]: Taking taylor expansion of -1 in N 0.481 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.482 * [taylor]: Taking taylor expansion of 1/3 in N 0.482 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.482 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.482 * [taylor]: Taking taylor expansion of N in N 0.482 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.482 * [taylor]: Taking taylor expansion of 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 0.484 * * * [progress]: simplifying candidates 0.486 * [simplify]: Simplifying using # : (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt 1)) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (log (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log 1) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (exp (log (cbrt (/ (+ N 1.0) N)))) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (* (* (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt 1)) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (log (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log 1) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (exp (log (cbrt (/ (+ N 1.0) N)))) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (* (* (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt 1) (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt 1) (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (pow 1 1/3))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (cbrt -1)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (pow 1 1/3))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (cbrt -1)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (* 0.05555555555555555 (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (pow 1 1/3)) (* 0.1111111111111111 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (* (pow -1 1/3) (/ (cbrt -1) N))) (* (pow -1 1/3) (cbrt -1))) (* 0.1111111111111111 (* (pow -1 1/3) (/ (cbrt -1) (pow N 2))))) (- (+ (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (* 0.05555555555555555 (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (pow 1 1/3)) (* 0.1111111111111111 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (* (pow -1 1/3) (/ (cbrt -1) N))) (* (pow -1 1/3) (cbrt -1))) (* 0.1111111111111111 (* (pow -1 1/3) (/ (cbrt -1) (pow N 2))))) 0.495 * * [simplify]: iteration 0 : 261 enodes (cost 1042 ) 0.499 * * [simplify]: iteration 1 : 782 enodes (cost 972 ) 0.513 * * [simplify]: iteration 2 : 3437 enodes (cost 942 ) 0.588 * * [simplify]: iteration 3 : 5002 enodes (cost 942 ) 0.594 * [simplify]: Simplified to: (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (* 2 (log (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (cbrt (/ (+ N 1.0) N)) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (pow (log (cbrt (/ (+ N 1.0) N))) 3) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (* 2 (log (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (cbrt (/ (+ N 1.0) N)) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (pow (log (cbrt (/ (+ N 1.0) N))) 3) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ N 1.0) N)) 1 (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ N 1.0) N)) 1 (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (- (+ (* 0.3333333333333333 N) (* 1/3 (- (log 1.0) (log N)))) (* 1/6 (/ (pow N 2) (pow 1.0 2)))) (* (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N))) (+ (* 2/3 (log -1)) (* (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N)))) (- (+ (* 0.3333333333333333 N) (* 1/3 (- (log 1.0) (log N)))) (* 1/6 (/ (pow N 2) (pow 1.0 2)))) (* (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N))) (+ (* 2/3 (log -1)) (* (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N)))) (+ (+ (* -1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))) (exp (* 1/3 (- (log 1.0) (log N))))) (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (pow N 2) 0.05555555555555555) (* 0.3333333333333333 N)))) (+ (* (/ 1 N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) 1) (- (pow -1 2/3) (- (/ (* 0.1111111111111111 (pow -1 2/3)) (pow N 2)) (/ (* 0.3333333333333333 (pow -1 2/3)) N))) (+ (+ (* -1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))) (exp (* 1/3 (- (log 1.0) (log N))))) (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (pow N 2) 0.05555555555555555) (* 0.3333333333333333 N)))) (+ (* (/ 1 N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) 1) (- (pow -1 2/3) (- (/ (* 0.1111111111111111 (pow -1 2/3)) (pow N 2)) (/ (* 0.3333333333333333 (pow -1 2/3)) N))) 0.595 * * * [progress]: adding candidates to table 0.855 * * [progress]: iteration 4 / 4 0.855 * * * [progress]: picking best candidate 0.868 * * * * [pick]: Picked # 0.868 * * * [progress]: localizing error 0.884 * * * [progress]: generating rewritten candidates 0.884 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.900 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.903 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.906 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.912 * * * [progress]: generating series expansions 0.912 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.912 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in (N) around 0 0.913 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 0.913 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 0.913 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.913 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.913 * [taylor]: Taking taylor expansion of N in N 0.913 * [taylor]: Taking taylor expansion of 1.0 in N 0.913 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 0.913 * [taylor]: Taking taylor expansion of (log N) in N 0.913 * [taylor]: Taking taylor expansion of N in N 0.913 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 0.913 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 0.913 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.913 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.913 * [taylor]: Taking taylor expansion of N in N 0.913 * [taylor]: Taking taylor expansion of 1.0 in N 0.913 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 0.913 * [taylor]: Taking taylor expansion of (log N) in N 0.913 * [taylor]: Taking taylor expansion of N in N 0.918 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in (N) around 0 0.918 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 0.918 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 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 0.918 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 0.918 * [taylor]: Taking taylor expansion of (log (/ 1 N)) 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 (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 0.918 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 0.918 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.919 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.919 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.919 * [taylor]: Taking taylor expansion of N in N 0.919 * [taylor]: Taking taylor expansion of 1.0 in N 0.919 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 0.919 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.919 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.919 * [taylor]: Taking taylor expansion of N in N 0.927 * [approximate]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in (N) around 0 0.927 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 0.927 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 0.927 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.927 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.927 * [taylor]: Taking taylor expansion of 1.0 in N 0.927 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.928 * [taylor]: Taking taylor expansion of N in N 0.928 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 0.928 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.928 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.928 * [taylor]: Taking taylor expansion of -1 in N 0.928 * [taylor]: Taking taylor expansion of N in N 0.928 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 0.928 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 0.928 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.928 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.928 * [taylor]: Taking taylor expansion of 1.0 in N 0.928 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.928 * [taylor]: Taking taylor expansion of N in N 0.928 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 0.928 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.928 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.928 * [taylor]: Taking taylor expansion of -1 in N 0.928 * [taylor]: Taking taylor expansion of N in N 0.936 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.936 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.936 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.936 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.936 * [taylor]: Taking taylor expansion of N in N 0.936 * [taylor]: Taking taylor expansion of 1.0 in N 0.936 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.936 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.936 * [taylor]: Taking taylor expansion of N in N 0.936 * [taylor]: Taking taylor expansion of 1.0 in N 0.936 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.937 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.937 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.937 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.937 * [taylor]: Taking taylor expansion of N in N 0.937 * [taylor]: Taking taylor expansion of 1.0 in N 0.937 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.937 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.937 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.937 * [taylor]: Taking taylor expansion of N in N 0.937 * [taylor]: Taking taylor expansion of 1.0 in N 0.937 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.937 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.938 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.938 * [taylor]: Taking taylor expansion of 1.0 in N 0.938 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.938 * [taylor]: Taking taylor expansion of N in N 0.938 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.938 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.938 * [taylor]: Taking taylor expansion of 1.0 in N 0.938 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.938 * [taylor]: Taking taylor expansion of N in N 0.938 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.939 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.939 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.939 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.939 * [taylor]: Taking taylor expansion of N in N 0.939 * [taylor]: Taking taylor expansion of 1.0 in N 0.939 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.939 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.939 * [taylor]: Taking taylor expansion of N in N 0.939 * [taylor]: Taking taylor expansion of 1.0 in N 0.939 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.939 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.939 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.939 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.939 * [taylor]: Taking taylor expansion of N in N 0.939 * [taylor]: Taking taylor expansion of 1.0 in N 0.940 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.940 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.940 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.940 * [taylor]: Taking taylor expansion of N in N 0.940 * [taylor]: Taking taylor expansion of 1.0 in N 0.941 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.941 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.941 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.941 * [taylor]: Taking taylor expansion of 1.0 in N 0.941 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.941 * [taylor]: Taking taylor expansion of N in N 0.941 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.941 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.941 * [taylor]: Taking taylor expansion of 1.0 in N 0.941 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.941 * [taylor]: Taking taylor expansion of N in N 0.941 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.942 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.942 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.942 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.942 * [taylor]: Taking taylor expansion of N in N 0.942 * [taylor]: Taking taylor expansion of 1.0 in N 0.942 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.942 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.942 * [taylor]: Taking taylor expansion of N in N 0.942 * [taylor]: Taking taylor expansion of 1.0 in N 0.942 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.942 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.942 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.942 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.942 * [taylor]: Taking taylor expansion of N in N 0.942 * [taylor]: Taking taylor expansion of 1.0 in N 0.943 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.943 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.943 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.943 * [taylor]: Taking taylor expansion of N in N 0.943 * [taylor]: Taking taylor expansion of 1.0 in N 0.943 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.943 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.943 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.943 * [taylor]: Taking taylor expansion of 1.0 in N 0.943 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.943 * [taylor]: Taking taylor expansion of N in N 0.943 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.943 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.944 * [taylor]: Taking taylor expansion of 1.0 in N 0.944 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.944 * [taylor]: Taking taylor expansion of N in N 0.944 * * * [progress]: simplifying candidates 0.946 * [simplify]: Simplifying using # : (/ (exp (pow (log (+ N 1.0)) 3)) (exp (pow (log N) 3))) (log (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (* (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log (+ N 1.0)) (log N)) (- (pow (pow (log (+ N 1.0)) 3) 3) (pow (pow (log N) 3) 3)) (+ (* (pow (log (+ N 1.0)) 3) (pow (log (+ N 1.0)) 3)) (+ (* (pow (log N) 3) (pow (log N) 3)) (* (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (neg (pow (log N) 3)) (- (* (pow (log (+ N 1.0)) 3) (pow (log (+ N 1.0)) 3)) (* (pow (log N) 3) (pow (log N) 3))) (+ (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow 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(log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt 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(* 1.0 (/ (pow (log 1) 2) (pow N 3)))))))))) (+ (* 6.0 (/ (* (log 1) (log (/ 1 N))) N)) (+ (* 3.0 (/ (log 1) (pow N 3))) (+ (* 3.0 (/ (log (/ 1 N)) (pow N 2))) (+ (* 1.5 (/ (pow (log 1) 2) (pow N 2))) (+ (* 1.5 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (* 2.0 (/ (* (log 1) (log (/ 1 N))) (pow N 3))))))))) (- (+ (* 3 (* (pow (log -1) 2) (log (/ -1 N)))) (+ (* 3.0 (/ (pow (log (neg 1)) 2) N)) (+ (* 3.0 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3.0 (/ (log (neg 1)) (pow N 2))) (+ (pow (log (neg 1)) 3) (+ (* 3 (* (log (neg 1)) (pow (log (/ -1 N)) 2))) (* 3.0 (/ (* (log (neg 1)) (log (/ -1 N))) (pow N 2))))))))) (+ (* 3 (* (pow (log (neg 1)) 2) (log (/ -1 N)))) (+ (* 1.5 (/ (pow (log (neg 1)) 2) (pow N 2))) (+ (* 6.0 (/ (* (log (neg 1)) (log (/ -1 N))) N)) (+ (* 3.0 (/ (log (/ -1 N)) (pow N 2))) (+ (* 3 (* (log -1) (pow (log (/ -1 N)) 2))) (+ (* 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2))) (pow (log -1) 3)))))))) (- (+ (* 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)))) (- (+ (* 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)))) (- (+ (* 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)))) 0.953 * * [simplify]: iteration 0 : 614 enodes (cost 957 ) 0.963 * * [simplify]: iteration 1 : 2326 enodes (cost 913 ) 0.999 * * [simplify]: iteration 2 : 5001 enodes (cost 895 ) 1.004 * [simplify]: Simplified to: (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (log (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (cbrt (- (pow (log (+ N 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(/ 1 (pow N 2)))) (/ 1.0 N)) (+ (- (log -1) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (/ 1.0 N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (+ (- (- 0 (log (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (/ 1.0 N)) (+ (- (log -1) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (/ 1.0 N)) 1.005 * * * [progress]: adding candidates to table 1.235 * [progress]: [Phase 3 of 3] Extracting. 1.235 * * [regime]: Finding splitpoints for: (# # # # # #) 1.241 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.241 * * * * [regimes]: Trying to branch on N from (# # # # # #) 1.298 * * * [regime]: Found split indices: #