5.052 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.039 * * * [progress]: [2/2] Setting up program. 0.041 * [progress]: [Phase 2 of 3] Improving. 0.041 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.043 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.044 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.046 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.046 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.048 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.054 * * * [progress]: generating rewritten candidates 0.054 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.057 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.066 * * * [progress]: generating series expansions 0.066 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.066 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.066 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.066 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.066 * [taylor]: Taking taylor expansion of N in N 0.066 * [taylor]: Taking taylor expansion of 1.0 in N 0.067 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.067 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.067 * [taylor]: Taking taylor expansion of N in N 0.067 * [taylor]: Taking taylor expansion of 1.0 in N 0.078 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.078 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.078 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.078 * [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 0.091 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.091 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.091 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.091 * [taylor]: Taking taylor expansion of 1.0 in N 0.091 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.091 * [taylor]: Taking taylor expansion of N in N 0.092 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.092 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.092 * [taylor]: Taking taylor expansion of 1.0 in N 0.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.092 * [taylor]: Taking taylor expansion of N in N 0.110 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.110 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.110 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.110 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.110 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.110 * [taylor]: Taking taylor expansion of N in N 0.110 * [taylor]: Taking taylor expansion of 1.0 in N 0.110 * [taylor]: Taking taylor expansion of (log N) in N 0.110 * [taylor]: Taking taylor expansion of N in N 0.111 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.111 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.111 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.111 * [taylor]: Taking taylor expansion of N in N 0.111 * [taylor]: Taking taylor expansion of 1.0 in N 0.111 * [taylor]: Taking taylor expansion of (log N) in N 0.111 * [taylor]: Taking taylor expansion of N in N 0.129 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.129 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.129 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.129 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.129 * [taylor]: Taking taylor expansion of 1.0 in N 0.130 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.130 * [taylor]: Taking taylor expansion of N in N 0.130 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.130 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.130 * [taylor]: Taking taylor expansion of N in N 0.131 * [taylor]: Taking taylor expansion of 1.0 in N 0.131 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.131 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.131 * [taylor]: Taking taylor expansion of N in N 0.161 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.161 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.161 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.161 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.161 * [taylor]: Taking taylor expansion of 1.0 in N 0.161 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.161 * [taylor]: Taking taylor expansion of N in N 0.162 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.162 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.162 * [taylor]: Taking taylor expansion of -1 in N 0.162 * [taylor]: Taking taylor expansion of N in N 0.162 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.162 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.162 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.162 * [taylor]: Taking taylor expansion of 1.0 in N 0.162 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.162 * [taylor]: Taking taylor expansion of N in N 0.163 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.163 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.163 * [taylor]: Taking taylor expansion of -1 in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.200 * * * [progress]: simplifying candidates 0.200 * [simplify]: Simplifying using # : (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.204 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.208 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.217 * * [simplify]: iteration 2 : 1874 enodes (cost 250 ) 0.253 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.255 * [simplify]: Simplified to: (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0)))) (* (log N) (log N))) (log (/ 1 N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (log (/ 1 N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) 0.255 * * * [progress]: adding candidates to table 0.345 * * [progress]: iteration 2 / 4 0.345 * * * [progress]: picking best candidate 0.350 * * * * [pick]: Picked # 0.350 * * * [progress]: localizing error 0.355 * * * [progress]: generating rewritten candidates 0.355 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.359 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.370 * * * [progress]: generating series expansions 0.370 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.370 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.370 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.370 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.370 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.370 * [taylor]: Taking taylor expansion of N in N 0.370 * [taylor]: Taking taylor expansion of 1.0 in N 0.370 * [taylor]: Taking taylor expansion of N in N 0.371 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.371 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.371 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.371 * [taylor]: Taking taylor expansion of N in N 0.371 * [taylor]: Taking taylor expansion of 1.0 in N 0.371 * [taylor]: Taking taylor expansion of N in N 0.385 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.385 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.385 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.385 * [taylor]: Taking taylor expansion of N in N 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.385 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.385 * [taylor]: Taking taylor expansion of N in N 0.385 * [taylor]: Taking taylor expansion of 1.0 in N 0.387 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.387 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.387 * [taylor]: Taking taylor expansion of N in N 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.387 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.387 * [taylor]: Taking taylor expansion of N in N 0.387 * [taylor]: Taking taylor expansion of 1.0 in N 0.413 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.413 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.413 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.413 * [taylor]: Taking taylor expansion of -1 in N 0.413 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.413 * [taylor]: Taking taylor expansion of N in N 0.413 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.413 * [taylor]: Taking taylor expansion of 1.0 in N 0.413 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.413 * [taylor]: Taking taylor expansion of N in N 0.416 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.416 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.417 * [taylor]: Taking taylor expansion of -1 in N 0.417 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.417 * [taylor]: Taking taylor expansion of N in N 0.417 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.417 * [taylor]: Taking taylor expansion of 1.0 in N 0.417 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.417 * [taylor]: Taking taylor expansion of N in N 0.451 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.451 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.452 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.452 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 N in N 0.452 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.452 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 N in N 0.459 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.459 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.459 * [taylor]: Taking taylor expansion of N in N 0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.459 * [taylor]: Taking taylor expansion of (/ 1 N) 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 (+ (/ 1 N) 1.0)) in N 0.459 * [taylor]: Taking taylor expansion of N in N 0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.459 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.459 * [taylor]: Taking taylor expansion of N in N 0.459 * [taylor]: Taking taylor expansion of 1.0 in N 0.473 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.473 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.473 * [taylor]: Taking taylor expansion of -1 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 (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.473 * [taylor]: Taking taylor expansion of -1 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 0.496 * * * [progress]: simplifying candidates 0.497 * [simplify]: Simplifying using # : (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.502 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 0.506 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 0.520 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 0.596 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 0.599 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.599 * * * [progress]: adding candidates to table 0.687 * * [progress]: iteration 3 / 4 0.687 * * * [progress]: picking best candidate 0.695 * * * * [pick]: Picked # 0.695 * * * [progress]: localizing error 0.705 * * * [progress]: generating rewritten candidates 0.705 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.712 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.715 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.718 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.720 * * * [progress]: generating series expansions 0.720 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.721 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.721 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.721 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.721 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.721 * [taylor]: Taking taylor expansion of N in N 0.721 * [taylor]: Taking taylor expansion of 1.0 in N 0.722 * [taylor]: Taking taylor expansion of (log N) in N 0.722 * [taylor]: Taking taylor expansion of N in N 0.722 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.722 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.722 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.722 * [taylor]: Taking taylor expansion of N in N 0.722 * [taylor]: Taking taylor expansion of 1.0 in N 0.723 * [taylor]: Taking taylor expansion of (log N) in N 0.723 * [taylor]: Taking taylor expansion of N in N 0.740 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.740 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.740 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.740 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.740 * [taylor]: Taking taylor expansion of N in N 0.741 * [taylor]: Taking taylor expansion of 1.0 in N 0.741 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.741 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.741 * [taylor]: Taking taylor expansion of N in N 0.742 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.742 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.742 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.742 * [taylor]: Taking taylor expansion of N in N 0.742 * [taylor]: Taking taylor expansion of 1.0 in N 0.743 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.743 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.743 * [taylor]: Taking taylor expansion of N in N 0.776 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.776 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.776 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.776 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.776 * [taylor]: Taking taylor expansion of 1.0 in N 0.776 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.776 * [taylor]: Taking taylor expansion of N in N 0.777 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.777 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.777 * [taylor]: Taking taylor expansion of -1 in N 0.777 * [taylor]: Taking taylor expansion of N in N 0.778 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.778 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.778 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.778 * [taylor]: Taking taylor expansion of 1.0 in N 0.778 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.778 * [taylor]: Taking taylor expansion of N in N 0.779 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.779 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.779 * [taylor]: Taking taylor expansion of -1 in N 0.779 * [taylor]: Taking taylor expansion of N in N 0.813 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.813 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.813 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.813 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.813 * [taylor]: Taking taylor expansion of N in N 0.813 * [taylor]: Taking taylor expansion of 1.0 in N 0.813 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.813 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.813 * [taylor]: Taking taylor expansion of N in N 0.813 * [taylor]: Taking taylor expansion of 1.0 in N 0.825 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.825 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.825 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.825 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.825 * [taylor]: Taking taylor expansion of N in N 0.825 * [taylor]: Taking taylor expansion of 1.0 in N 0.826 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.826 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.826 * [taylor]: Taking taylor expansion of N in N 0.826 * [taylor]: Taking taylor expansion of 1.0 in N 0.838 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.838 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.838 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.838 * [taylor]: Taking taylor expansion of 1.0 in N 0.838 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.838 * [taylor]: Taking taylor expansion of N in N 0.839 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.839 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.839 * [taylor]: Taking taylor expansion of 1.0 in N 0.839 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.839 * [taylor]: Taking taylor expansion of N in N 0.856 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.856 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.856 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.856 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.857 * [taylor]: Taking taylor expansion of N in N 0.857 * [taylor]: Taking taylor expansion of 1.0 in N 0.857 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.857 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.857 * [taylor]: Taking taylor expansion of N in N 0.857 * [taylor]: Taking taylor expansion of 1.0 in N 0.868 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.868 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.868 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.868 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.868 * [taylor]: Taking taylor expansion of N in N 0.869 * [taylor]: Taking taylor expansion of 1.0 in N 0.869 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.869 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.869 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.869 * [taylor]: Taking taylor expansion of N in N 0.870 * [taylor]: Taking taylor expansion of 1.0 in N 0.881 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.881 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.881 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.881 * [taylor]: Taking taylor expansion of 1.0 in N 0.881 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.881 * [taylor]: Taking taylor expansion of N in N 0.882 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.882 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.882 * [taylor]: Taking taylor expansion of 1.0 in N 0.882 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.882 * [taylor]: Taking taylor expansion of N in N 0.896 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.896 * [approximate]: Taking taylor expansion of (log (log (+ N 1.0))) in (N) around 0 0.896 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 0.896 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.896 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.896 * [taylor]: Taking taylor expansion of N in N 0.896 * [taylor]: Taking taylor expansion of 1.0 in N 0.897 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 0.897 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.897 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.897 * [taylor]: Taking taylor expansion of N in N 0.897 * [taylor]: Taking taylor expansion of 1.0 in N 0.937 * [approximate]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in (N) around 0 0.937 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 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 0.938 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in N 0.938 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.938 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 0.939 * [taylor]: Taking taylor expansion of 1.0 in N 0.956 * [approximate]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in (N) around 0 0.957 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 0.957 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.957 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.957 * [taylor]: Taking taylor expansion of 1.0 in N 0.957 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.957 * [taylor]: Taking taylor expansion of N in N 0.959 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 0.959 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.959 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.959 * [taylor]: Taking taylor expansion of 1.0 in N 0.959 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.959 * [taylor]: Taking taylor expansion of N in N 0.982 * * * [progress]: simplifying candidates 0.983 * [simplify]: Simplifying using # : (/ (exp (exp (log (log (+ N 1.0))))) N) (log (- (exp (log (log (+ N 1.0)))) (log N))) (exp (- (exp (log (log (+ N 1.0)))) (log N))) (* (cbrt (- (exp (log (log (+ N 1.0)))) (log N))) (cbrt (- (exp (log (log (+ N 1.0)))) (log N)))) (cbrt (- (exp (log (log (+ N 1.0)))) (log N))) (* (* (- (exp (log (log (+ N 1.0)))) (log N)) (- (exp (log (log (+ N 1.0)))) (log N))) (- (exp (log (log (+ N 1.0)))) (log N))) (sqrt (- (exp (log (log (+ N 1.0)))) (log N))) (sqrt (- (exp (log (log (+ N 1.0)))) (log N))) (- (pow (exp (log (log (+ N 1.0)))) 3) (pow (log N) 3)) (+ (* (exp (log (log (+ N 1.0)))) (exp (log (log (+ N 1.0))))) (+ (* (log N) (log N)) (* (exp (log (log (+ N 1.0)))) (log N)))) (- (log N)) (- (* (exp (log (log (+ N 1.0)))) (exp (log (log (+ N 1.0))))) (* (log N) (log N))) (+ (exp (log (log (+ N 1.0)))) (log N)) (+ (exp (log (sqrt (log (+ N 1.0))))) (sqrt (log N))) (- (exp (log (sqrt (log (+ N 1.0))))) (sqrt (log N))) (+ (sqrt (exp (log (log (+ N 1.0))))) (sqrt (log N))) (- (sqrt (exp (log (log (+ N 1.0))))) (sqrt (log N))) (- (exp (log (log (+ N 1.0)))) (log N)) (- (exp (log (log (+ N 1.0)))) (log N)) (- (exp (log (log (+ N 1.0)))) (log (* (cbrt N) (cbrt N)))) (- (exp (log (log (+ N 1.0)))) (log (sqrt N))) (- (exp (log (log (+ N 1.0)))) (log 1)) (- (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))) (exp 1) (exp (* (cbrt (log (log (+ N 1.0)))) (cbrt (log (log (+ N 1.0)))))) (exp (sqrt (log (log (+ N 1.0))))) (exp 1) (exp (log 1)) (exp (log (log (+ N 1.0)))) (exp (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))))) (exp (log (cbrt (log (+ N 1.0))))) (exp (log (sqrt (log (+ N 1.0))))) (exp (log (sqrt (log (+ N 1.0))))) (exp (log 1)) (exp (log (log (+ N 1.0)))) (log (exp (log (log (+ N 1.0))))) (exp (exp (log (log (+ N 1.0))))) (* (cbrt (exp (log (log (+ N 1.0))))) (cbrt (exp (log (log (+ N 1.0)))))) (cbrt (exp (log (log (+ N 1.0))))) (* (* (exp (log (log (+ N 1.0)))) (exp (log (log (+ N 1.0))))) (exp (log (log (+ N 1.0))))) (sqrt (exp (log (log (+ N 1.0))))) (sqrt (exp (log (log (+ N 1.0))))) (log 1) (log (log (+ N 1.0))) (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (log (cbrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) (log 1) (log (log (+ N 1.0))) (log (log (+ N 1.0))) (log (log (log (+ N 1.0)))) (exp (log (log (+ N 1.0)))) (* (cbrt (log (log (+ N 1.0)))) (cbrt (log (log (+ N 1.0))))) (cbrt (log (log (+ N 1.0)))) (* (* (log (log (+ N 1.0))) (log (log (+ N 1.0)))) (log (log (+ N 1.0)))) (sqrt (log (log (+ N 1.0)))) (sqrt (log (log (+ N 1.0)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log (log 1.0)) (* 1.0 (/ N (log 1.0)))) (+ (* 0.5 (/ (pow N 2) (pow (log 1.0) 2))) (* 1/2 (/ (pow N 2) (* (log 1.0) (pow 1.0 2)))))) (- (+ (log (- (log (/ 1 N)))) (* 0.5 (/ 1 (* (pow N 2) (log (/ 1 N)))))) (+ (* 0.5 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))) (* 1.0 (/ 1 (* N (log (/ 1 N))))))) (- (+ (log (- (log -1) (log (/ -1 N)))) (* 1.0 (/ 1 (* (- (log -1) (log (/ -1 N))) N)))) (+ (* 0.5 (/ 1 (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (* 0.5 (/ 1 (* (- (log -1) (log (/ -1 N))) (pow N 2)))))) 0.988 * * [simplify]: iteration 0 : 355 enodes (cost 529 ) 0.994 * * [simplify]: iteration 1 : 1074 enodes (cost 481 ) 1.012 * * [simplify]: iteration 2 : 4439 enodes (cost 443 ) 1.096 * * [simplify]: iteration 3 : 5002 enodes (cost 427 ) 1.099 * [simplify]: Simplified to: (/ (+ N 1.0) N) (log (- (exp (log (log (+ N 1.0)))) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (exp (log (log (+ N 1.0)))) (log N))) (cbrt (- (exp (log (log (+ N 1.0)))) (log N)))) (cbrt (- (exp (log (log (+ N 1.0)))) (log N))) (pow (+ (log (+ N 1.0)) (log (/ 1 N))) 3) (sqrt (- (exp (log (log (+ N 1.0)))) (log N))) (sqrt (- (exp (log (log (+ N 1.0)))) (log N))) (+ (- (pow (log N) 3)) (pow (log (+ N 1.0)) 3)) (+ (* (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N))) (pow (log (/ 1 N)) 2)) (log (/ 1 N)) (* (+ (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (+ (log N) (log (+ N 1.0))) (+ (sqrt (log N)) (sqrt (log (+ N 1.0)))) (+ (sqrt (log (+ N 1.0))) (- (sqrt (log N)))) (+ (sqrt (log N)) (sqrt (log (+ N 1.0)))) (+ (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 (* (cbrt N) (cbrt N))))) (+ (log (+ N 1.0)) (- (log (sqrt N)))) (log (+ N 1.0)) (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) (pow (cbrt (log (+ N 1.0))) 2) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) E (exp (* (cbrt (log (log (+ N 1.0)))) (cbrt (log (log (+ N 1.0)))))) (exp (sqrt (log (log (+ N 1.0))))) E 1 (log (+ N 1.0)) (pow (cbrt (log (+ N 1.0))) 2) (cbrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) 1 (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (pow (cbrt (log (+ N 1.0))) 2) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) 0 (log (log (+ N 1.0))) (* 2 (log (cbrt (log (+ N 1.0))))) (log (cbrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) 0 (log (log (+ N 1.0))) (log (log (+ N 1.0))) (log (log (log (+ N 1.0)))) (log (+ N 1.0)) (* (cbrt (log (log (+ N 1.0)))) (cbrt (log (log (+ N 1.0))))) (cbrt (log (log (+ N 1.0)))) (pow (log (log (+ N 1.0))) 3) (sqrt (log (log (+ N 1.0)))) (sqrt (log (log (+ N 1.0)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (log N)) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (log N)) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (log N)) (- (* 1.0 (/ N (log 1.0))) (- (* (/ (pow N 2) (log 1.0)) (+ (/ 1/2 (pow 1.0 2)) (/ 0.5 (log 1.0)))) (log (log 1.0)))) (- (+ (log (- (log (/ 1 N)))) (* (/ 1 (log (/ 1 N))) (- (/ (/ 0.5 N) N) (/ 1.0 N)))) (/ (/ 0.5 (pow (log (/ 1 N)) 2)) (pow N 2))) (- (+ (log (- (log -1) (log (/ -1 N)))) (* (/ 1 (- (log -1) (log (/ -1 N)))) (* (/ 1 N) (- 1.0 (/ 0.5 N))))) (/ (/ (/ 0.5 N) N) (pow (- (log -1) (log (/ -1 N))) 2))) 1.100 * * * [progress]: adding candidates to table 1.237 * * [progress]: iteration 4 / 4 1.238 * * * [progress]: picking best candidate 1.243 * * * * [pick]: Picked # 1.243 * * * [progress]: localizing error 1.251 * * * [progress]: generating rewritten candidates 1.251 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.257 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.262 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.267 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.278 * * * [progress]: generating series expansions 1.278 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.278 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 1.278 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.279 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.279 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.279 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.279 * [taylor]: Taking taylor expansion of 1/3 in N 1.279 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.279 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.279 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.279 * [taylor]: Taking taylor expansion of N in N 1.279 * [taylor]: Taking taylor expansion of 1.0 in N 1.279 * [taylor]: Taking taylor expansion of N in N 1.281 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.281 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.281 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.281 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.281 * [taylor]: Taking taylor expansion of 1/3 in N 1.281 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.281 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.281 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.281 * [taylor]: Taking taylor expansion of N in N 1.281 * [taylor]: Taking taylor expansion of 1.0 in N 1.281 * [taylor]: Taking taylor expansion of N in N 1.311 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 1.311 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.311 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.311 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.311 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.311 * [taylor]: Taking taylor expansion of 1/3 in N 1.311 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.311 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.311 * [taylor]: Taking taylor expansion of N in N 1.311 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.311 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.311 * [taylor]: Taking taylor expansion of N in N 1.311 * [taylor]: Taking taylor expansion of 1.0 in N 1.320 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.320 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.320 * [taylor]: Taking taylor expansion of 1/3 in N 1.320 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.320 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.320 * [taylor]: Taking taylor expansion of N in N 1.320 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.320 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.321 * [taylor]: Taking taylor expansion of N in N 1.321 * [taylor]: Taking taylor expansion of 1.0 in N 1.394 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 1.394 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.394 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.394 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.394 * [taylor]: Taking taylor expansion of -1 in N 1.395 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.395 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.395 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.395 * [taylor]: Taking taylor expansion of 1/3 in N 1.395 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.395 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.395 * [taylor]: Taking taylor expansion of N in N 1.395 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.395 * [taylor]: Taking taylor expansion of 1.0 in N 1.395 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.395 * [taylor]: Taking taylor expansion of N in N 1.402 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.402 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.402 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.402 * [taylor]: Taking taylor expansion of -1 in N 1.403 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.403 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.403 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.403 * [taylor]: Taking taylor expansion of 1/3 in N 1.403 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.403 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.403 * [taylor]: Taking taylor expansion of N in N 1.403 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.403 * [taylor]: Taking taylor expansion of 1.0 in N 1.403 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.403 * [taylor]: Taking taylor expansion of N in N 1.483 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.483 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 1.483 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.483 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.483 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.483 * [taylor]: Taking taylor expansion of 1/3 in N 1.483 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.483 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.483 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.483 * [taylor]: Taking taylor expansion of N in N 1.483 * [taylor]: Taking taylor expansion of 1.0 in N 1.483 * [taylor]: Taking taylor expansion of N in N 1.486 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.486 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.486 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.486 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.486 * [taylor]: Taking taylor expansion of 1/3 in N 1.486 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.486 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.486 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.486 * [taylor]: Taking taylor expansion of N in N 1.486 * [taylor]: Taking taylor expansion of 1.0 in N 1.486 * [taylor]: Taking taylor expansion of N in N 1.522 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 1.522 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.522 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.522 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.522 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.522 * [taylor]: Taking taylor expansion of 1/3 in N 1.522 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.522 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.522 * [taylor]: Taking taylor expansion of N in N 1.522 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.522 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.522 * [taylor]: Taking taylor expansion of N in N 1.522 * [taylor]: Taking taylor expansion of 1.0 in N 1.531 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.531 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.531 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.531 * [taylor]: Taking taylor expansion of 1/3 in N 1.531 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.532 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.532 * [taylor]: Taking taylor expansion of N in N 1.532 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.532 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.532 * [taylor]: Taking taylor expansion of N in N 1.532 * [taylor]: Taking taylor expansion of 1.0 in N 1.606 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 1.606 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.606 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.606 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.606 * [taylor]: Taking taylor expansion of -1 in N 1.607 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.607 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.607 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.607 * [taylor]: Taking taylor expansion of 1/3 in N 1.607 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.607 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.607 * [taylor]: Taking taylor expansion of N in N 1.607 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.607 * [taylor]: Taking taylor expansion of 1.0 in N 1.607 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.607 * [taylor]: Taking taylor expansion of N in N 1.614 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.614 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.614 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.614 * [taylor]: Taking taylor expansion of -1 in N 1.615 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.615 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.615 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.615 * [taylor]: Taking taylor expansion of 1/3 in N 1.615 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.615 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.615 * [taylor]: Taking taylor expansion of N in N 1.615 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.615 * [taylor]: Taking taylor expansion of 1.0 in N 1.615 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.615 * [taylor]: Taking taylor expansion of N in N 1.695 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.696 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 1.696 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.696 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.696 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.696 * [taylor]: Taking taylor expansion of 1/3 in N 1.696 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.696 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.696 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.696 * [taylor]: Taking taylor expansion of N in N 1.696 * [taylor]: Taking taylor expansion of 1.0 in N 1.696 * [taylor]: Taking taylor expansion of N in N 1.698 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.698 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.698 * [taylor]: Taking taylor expansion of 1/3 in N 1.698 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.698 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.698 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.698 * [taylor]: Taking taylor expansion of N in N 1.698 * [taylor]: Taking taylor expansion of 1.0 in N 1.698 * [taylor]: Taking taylor expansion of N in N 1.726 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 1.727 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.727 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.727 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.727 * [taylor]: Taking taylor expansion of 1/3 in N 1.727 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.727 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.727 * [taylor]: Taking taylor expansion of N in N 1.727 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.727 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.727 * [taylor]: Taking taylor expansion of N in N 1.727 * [taylor]: Taking taylor expansion of 1.0 in N 1.736 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.736 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.736 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.736 * [taylor]: Taking taylor expansion of 1/3 in N 1.736 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.736 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.736 * [taylor]: Taking taylor expansion of N in N 1.736 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.736 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.736 * [taylor]: Taking taylor expansion of N in N 1.736 * [taylor]: Taking taylor expansion of 1.0 in N 1.759 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in (N) around 0 1.759 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.759 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.759 * [taylor]: Taking taylor expansion of -1 in N 1.760 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.760 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.760 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.760 * [taylor]: Taking taylor expansion of 1/3 in N 1.760 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.760 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.761 * [taylor]: Taking taylor expansion of N in N 1.761 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.761 * [taylor]: Taking taylor expansion of 1.0 in N 1.761 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.761 * [taylor]: Taking taylor expansion of N in N 1.770 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.770 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.770 * [taylor]: Taking taylor expansion of -1 in N 1.771 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.771 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.771 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.771 * [taylor]: Taking taylor expansion of 1/3 in N 1.771 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.771 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.771 * [taylor]: Taking taylor expansion of N in N 1.771 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.771 * [taylor]: Taking taylor expansion of 1.0 in N 1.771 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.771 * [taylor]: Taking taylor expansion of N in N 1.819 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.819 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 1.819 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.819 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.819 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.819 * [taylor]: Taking taylor expansion of 1/3 in N 1.819 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.819 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.819 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.819 * [taylor]: Taking taylor expansion of N in N 1.819 * [taylor]: Taking taylor expansion of 1.0 in N 1.819 * [taylor]: Taking taylor expansion of N in N 1.821 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.821 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.821 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.821 * [taylor]: Taking taylor expansion of 1/3 in N 1.821 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.821 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.821 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.821 * [taylor]: Taking taylor expansion of N in N 1.821 * [taylor]: Taking taylor expansion of 1.0 in N 1.821 * [taylor]: Taking taylor expansion of N in N 1.854 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 1.854 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.855 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.855 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.855 * [taylor]: Taking taylor expansion of 1/3 in N 1.855 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.855 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.855 * [taylor]: Taking taylor expansion of N in N 1.855 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.855 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.855 * [taylor]: Taking taylor expansion of N in N 1.855 * [taylor]: Taking taylor expansion of 1.0 in N 1.864 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.864 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.864 * [taylor]: Taking taylor expansion of 1/3 in N 1.864 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.864 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.864 * [taylor]: Taking taylor expansion of N in N 1.864 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.864 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.864 * [taylor]: Taking taylor expansion of N in N 1.864 * [taylor]: Taking taylor expansion of 1.0 in N 1.888 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in (N) around 0 1.888 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.889 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.889 * [taylor]: Taking taylor expansion of -1 in N 1.889 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.889 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.889 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.889 * [taylor]: Taking taylor expansion of 1/3 in N 1.889 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.889 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.889 * [taylor]: Taking taylor expansion of N in N 1.889 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.889 * [taylor]: Taking taylor expansion of 1.0 in N 1.889 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.889 * [taylor]: Taking taylor expansion of N in N 1.893 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.893 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.893 * [taylor]: Taking taylor expansion of -1 in N 1.894 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.894 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.894 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.894 * [taylor]: Taking taylor expansion of 1/3 in N 1.894 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.894 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.894 * [taylor]: Taking taylor expansion of N in N 1.894 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.894 * [taylor]: Taking taylor expansion of 1.0 in N 1.894 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.894 * [taylor]: Taking taylor expansion of N in N 1.948 * * * [progress]: simplifying candidates 1.950 * [simplify]: Simplifying using # : (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt 1)) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (log (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log 1) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (exp (log (cbrt (/ (+ N 1.0) N)))) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (* (* (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt 1)) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (log (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log 1) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (exp (log (cbrt (/ (+ N 1.0) N)))) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (* (* (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt 1) (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt 1) (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (cbrt -1)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (cbrt -1)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (* 0.05555555555555555 (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (* (pow -1 1/3) (/ (cbrt -1) N))) (* (pow -1 1/3) (cbrt -1))) (* 0.1111111111111111 (* (pow -1 1/3) (/ (cbrt -1) (pow N 2))))) (- (+ (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (* 0.05555555555555555 (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (* (pow -1 1/3) (/ (cbrt -1) N))) (* (pow -1 1/3) (cbrt -1))) (* 0.1111111111111111 (* (pow -1 1/3) (/ (cbrt -1) (pow N 2))))) 1.957 * * [simplify]: iteration 0 : 267 enodes (cost 1056 ) 1.962 * * [simplify]: iteration 1 : 755 enodes (cost 996 ) 1.976 * * [simplify]: iteration 2 : 3236 enodes (cost 966 ) 2.051 * * [simplify]: iteration 3 : 5001 enodes (cost 948 ) 2.056 * [simplify]: Simplified to: (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (* 2 (log (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (cbrt (/ (+ N 1.0) N)) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (pow (log (cbrt (/ (+ N 1.0) N))) 3) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (* 2 (log (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (cbrt (/ (+ N 1.0) N)) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (pow (log (cbrt (/ (+ N 1.0) N))) 3) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ N 1.0) N)) 1 (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ N 1.0) N)) 1 (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (- (+ (* 0.3333333333333333 N) (* 1/3 (- (log 1.0) (log N)))) (* 1/6 (/ (pow N 2) (pow 1.0 2)))) (+ (* (/ 1 (pow N 2)) (- (/ 0.1111111111111111 N) 0.16666666666666666)) (/ 0.3333333333333333 N)) (+ (* (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N))) (* 2/3 (log -1))) (- (+ (* 0.3333333333333333 N) (* 1/3 (- (log 1.0) (log N)))) (* 1/6 (/ (pow N 2) (pow 1.0 2)))) (+ (* (/ 1 (pow N 2)) (- (/ 0.1111111111111111 N) 0.16666666666666666)) (/ 0.3333333333333333 N)) (+ (* (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N))) (* 2/3 (log -1))) (- (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (pow N 2) 0.05555555555555555) (* 0.3333333333333333 N))) (- (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))) (exp (* 1/3 (- (log 1.0) (log N)))))) (+ (* (/ 1 N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) 1) (- (pow -1 2/3) (- (/ (* 0.1111111111111111 (pow -1 2/3)) (pow N 2)) (/ (* 0.3333333333333333 (pow -1 2/3)) N))) (- (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (pow N 2) 0.05555555555555555) (* 0.3333333333333333 N))) (- (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))) (exp (* 1/3 (- (log 1.0) (log N)))))) (+ (* (/ 1 N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) 1) (- (pow -1 2/3) (- (/ (* 0.1111111111111111 (pow -1 2/3)) (pow N 2)) (/ (* 0.3333333333333333 (pow -1 2/3)) N))) 2.057 * * * [progress]: adding candidates to table 2.361 * [progress]: [Phase 3 of 3] Extracting. 2.361 * * [regime]: Finding splitpoints for: (# # # # #) 2.362 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.362 * * * * [regimes]: Trying to branch on N from (# # # # #) 2.391 * * * [regime]: Found split indices: #