13.302 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.050 * * * [progress]: [2/2] Setting up program. 0.052 * [progress]: [Phase 2 of 3] Improving. 0.052 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.054 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.055 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.056 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.056 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.056 * * [progress]: iteration 1 / 4 0.057 * * * [progress]: picking best candidate 0.058 * * * * [pick]: Picked # 0.058 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.065 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.068 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.076 * * * [progress]: generating series expansions 0.076 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.076 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.076 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.076 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.076 * [taylor]: Taking taylor expansion of N in N 0.076 * [taylor]: Taking taylor expansion of 1.0 in N 0.077 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.077 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.077 * [taylor]: Taking taylor expansion of 1.0 in N 0.089 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.089 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.089 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.090 * [taylor]: Taking taylor expansion of N in N 0.090 * [taylor]: Taking taylor expansion of 1.0 in N 0.090 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.090 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.090 * [taylor]: Taking taylor expansion of N in N 0.091 * [taylor]: Taking taylor expansion of 1.0 in N 0.107 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.108 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.108 * [taylor]: Taking taylor expansion of 1.0 in N 0.108 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.108 * [taylor]: Taking taylor expansion of N in N 0.109 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.109 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.109 * [taylor]: Taking taylor expansion of 1.0 in N 0.109 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.109 * [taylor]: Taking taylor expansion of N in N 0.122 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.123 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.123 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.123 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.123 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.123 * [taylor]: Taking taylor expansion of 1.0 in N 0.123 * [taylor]: Taking taylor expansion of (log N) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.124 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.124 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.124 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [taylor]: Taking taylor expansion of 1.0 in N 0.124 * [taylor]: Taking taylor expansion of (log N) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.142 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.142 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.142 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.142 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.142 * [taylor]: Taking taylor expansion of N in N 0.142 * [taylor]: Taking taylor expansion of 1.0 in N 0.143 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.143 * [taylor]: Taking taylor expansion of N in N 0.143 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.143 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.143 * [taylor]: Taking taylor expansion of N in N 0.144 * [taylor]: Taking taylor expansion of 1.0 in N 0.144 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.144 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.144 * [taylor]: Taking taylor expansion of N in N 0.175 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.175 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.175 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.175 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.175 * [taylor]: Taking taylor expansion of 1.0 in N 0.175 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.175 * [taylor]: Taking taylor expansion of N in N 0.176 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.177 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.177 * [taylor]: Taking taylor expansion of -1 in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.177 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.177 * [taylor]: Taking taylor expansion of 1.0 in N 0.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.178 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.178 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.178 * [taylor]: Taking taylor expansion of -1 in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.218 * * * [progress]: simplifying candidates 0.219 * [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)))) (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)) (- (+ (* 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)))) 0.223 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.227 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.236 * * [simplify]: iteration 2 : 1874 enodes (cost 250 ) 0.272 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.274 * [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)) 0.274 * * * [progress]: adding candidates to table 0.366 * * [progress]: iteration 2 / 4 0.366 * * * [progress]: picking best candidate 0.371 * * * * [pick]: Picked # 0.371 * * * [progress]: localizing error 0.376 * * * [progress]: generating rewritten candidates 0.376 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.385 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.392 * * * [progress]: generating series expansions 0.392 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.392 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.392 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.392 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.392 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.392 * [taylor]: Taking taylor expansion of N in N 0.392 * [taylor]: Taking taylor expansion of 1.0 in N 0.392 * [taylor]: Taking taylor expansion of N in N 0.393 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.393 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.393 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.394 * [taylor]: Taking taylor expansion of N in N 0.394 * [taylor]: Taking taylor expansion of 1.0 in N 0.394 * [taylor]: Taking taylor expansion of N in N 0.408 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.408 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.408 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.408 * [taylor]: Taking taylor expansion of N in N 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.408 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.408 * [taylor]: Taking taylor expansion of N in N 0.408 * [taylor]: Taking taylor expansion of 1.0 in N 0.410 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.410 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.410 * [taylor]: Taking taylor expansion of N in N 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.410 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.410 * [taylor]: Taking taylor expansion of N in N 0.410 * [taylor]: Taking taylor expansion of 1.0 in N 0.437 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.437 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.437 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.437 * [taylor]: Taking taylor expansion of -1 in N 0.437 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.437 * [taylor]: Taking taylor expansion of N in N 0.437 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.437 * [taylor]: Taking taylor expansion of 1.0 in N 0.437 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.437 * [taylor]: Taking taylor expansion of N in N 0.440 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.440 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.440 * [taylor]: Taking taylor expansion of -1 in N 0.440 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.440 * [taylor]: Taking taylor expansion of N in N 0.440 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.440 * [taylor]: Taking taylor expansion of 1.0 in N 0.440 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.440 * [taylor]: Taking taylor expansion of N in N 0.478 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.478 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.478 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.478 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.478 * [taylor]: Taking taylor expansion of N in N 0.478 * [taylor]: Taking taylor expansion of 1.0 in N 0.478 * [taylor]: Taking taylor expansion of N in N 0.479 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.479 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 N in N 0.486 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.486 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.486 * [taylor]: Taking taylor expansion of N in N 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.486 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.486 * [taylor]: Taking taylor expansion of N in N 0.486 * [taylor]: Taking taylor expansion of 1.0 in N 0.486 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.486 * [taylor]: Taking taylor expansion of N in N 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.486 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.486 * [taylor]: Taking taylor expansion of N in N 0.486 * [taylor]: Taking taylor expansion of 1.0 in N 0.500 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.500 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.500 * [taylor]: Taking taylor expansion of -1 in N 0.500 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.500 * [taylor]: Taking taylor expansion of N in N 0.500 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.500 * [taylor]: Taking taylor expansion of 1.0 in N 0.500 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.500 * [taylor]: Taking taylor expansion of N in N 0.500 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.500 * [taylor]: Taking taylor expansion of -1 in N 0.500 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.500 * [taylor]: Taking taylor expansion of N in N 0.500 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.500 * [taylor]: Taking taylor expansion of 1.0 in N 0.500 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.500 * [taylor]: Taking taylor expansion of N in N 0.524 * * * [progress]: simplifying candidates 0.525 * [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))) (- (+ (* 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) 0.529 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 0.534 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 0.548 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 0.624 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 0.627 * [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 (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) 0.627 * * * [progress]: adding candidates to table 0.721 * * [progress]: iteration 3 / 4 0.721 * * * [progress]: picking best candidate 0.728 * * * * [pick]: Picked # 0.728 * * * [progress]: localizing error 0.741 * * * [progress]: generating rewritten candidates 0.741 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.760 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.761 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2) 0.762 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 0.768 * * * [progress]: generating series expansions 0.768 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.769 * [approximate]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) in (N) around 0 0.769 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) in N 0.769 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) in N 0.769 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0))) in N 0.769 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.769 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.769 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.769 * [taylor]: Taking taylor expansion of 1/3 in N 0.769 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.769 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.769 * [taylor]: Taking taylor expansion of N in N 0.770 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.770 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.770 * [taylor]: Taking taylor expansion of N in N 0.770 * [taylor]: Taking taylor expansion of 1.0 in N 0.773 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) in N 0.773 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))) in N 0.773 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.773 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.773 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.773 * [taylor]: Taking taylor expansion of 1/3 in N 0.773 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.773 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.773 * [taylor]: Taking taylor expansion of N in N 0.774 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.774 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.774 * [taylor]: Taking taylor expansion of N in N 0.774 * [taylor]: Taking taylor expansion of 1.0 in N 0.777 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) in N 0.777 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) in N 0.777 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0))) in N 0.777 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.777 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.777 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.777 * [taylor]: Taking taylor expansion of 1/3 in N 0.777 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.777 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.777 * [taylor]: Taking taylor expansion of N in N 0.778 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.778 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.778 * [taylor]: Taking taylor expansion of N in N 0.778 * [taylor]: Taking taylor expansion of 1.0 in N 0.780 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) in N 0.780 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))) in N 0.781 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.781 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.781 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.781 * [taylor]: Taking taylor expansion of 1/3 in N 0.781 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.781 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.781 * [taylor]: Taking taylor expansion of N in N 0.781 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.781 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.781 * [taylor]: Taking taylor expansion of N in N 0.782 * [taylor]: Taking taylor expansion of 1.0 in N 0.836 * [approximate]: Taking taylor expansion of (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 0.836 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) in N 0.836 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 0.836 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 0.836 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 0.836 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 0.836 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 0.836 * [taylor]: Taking taylor expansion of 1/3 in N 0.836 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 0.836 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.836 * [taylor]: Taking taylor expansion of N in N 0.837 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.837 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.837 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.837 * [taylor]: Taking taylor expansion of N in N 0.837 * [taylor]: Taking taylor expansion of 1.0 in N 0.841 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 0.842 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 0.842 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.842 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.842 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.842 * [taylor]: Taking taylor expansion of 1/3 in N 0.842 * [taylor]: Taking taylor expansion of (log N) in N 0.842 * [taylor]: Taking taylor expansion of N in N 0.842 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.842 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.842 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.842 * [taylor]: Taking taylor expansion of N in N 0.843 * [taylor]: Taking taylor expansion of 1.0 in N 0.846 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) in N 0.846 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 0.846 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 0.846 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 0.846 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 0.846 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 0.846 * [taylor]: Taking taylor expansion of 1/3 in N 0.846 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 0.846 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.846 * [taylor]: Taking taylor expansion of N in N 0.847 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.847 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.847 * [taylor]: Taking taylor expansion of N in N 0.847 * [taylor]: Taking taylor expansion of 1.0 in N 0.852 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 0.852 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 0.852 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.852 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.852 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.852 * [taylor]: Taking taylor expansion of 1/3 in N 0.852 * [taylor]: Taking taylor expansion of (log N) in N 0.852 * [taylor]: Taking taylor expansion of N in N 0.852 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.852 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.852 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.852 * [taylor]: Taking taylor expansion of N in N 0.853 * [taylor]: Taking taylor expansion of 1.0 in N 0.929 * [approximate]: Taking taylor expansion of (+ (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 0.929 * [taylor]: Taking taylor expansion of (+ (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) in N 0.929 * [taylor]: Taking taylor expansion of (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 0.929 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 0.929 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 0.929 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.929 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.929 * [taylor]: Taking taylor expansion of -1 in N 0.932 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 0.932 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 0.932 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 0.932 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 0.932 * [taylor]: Taking taylor expansion of 1/3 in N 0.932 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 0.932 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.932 * [taylor]: Taking taylor expansion of N in N 0.933 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.933 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.933 * [taylor]: Taking taylor expansion of 1.0 in N 0.933 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.933 * [taylor]: Taking taylor expansion of N in N 0.942 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 0.942 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 0.942 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 0.942 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.942 * [taylor]: Taking taylor expansion of -1 in N 0.943 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 0.943 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.943 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.943 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.943 * [taylor]: Taking taylor expansion of 1/3 in N 0.943 * [taylor]: Taking taylor expansion of (log N) in N 0.943 * [taylor]: Taking taylor expansion of N in N 0.944 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.944 * [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 0.951 * [taylor]: Taking taylor expansion of (+ (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) in N 0.951 * [taylor]: Taking taylor expansion of (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 0.951 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 0.951 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.951 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.951 * [taylor]: Taking taylor expansion of -1 in N 0.953 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 0.953 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 0.953 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 0.953 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 0.953 * [taylor]: Taking taylor expansion of 1/3 in N 0.953 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 0.953 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.953 * [taylor]: Taking taylor expansion of N in N 0.954 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.954 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.954 * [taylor]: Taking taylor expansion of 1.0 in N 0.954 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.954 * [taylor]: Taking taylor expansion of N in N 0.963 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 0.963 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 0.963 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 0.963 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.963 * [taylor]: Taking taylor expansion of -1 in N 0.965 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 0.965 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.965 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.965 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.965 * [taylor]: Taking taylor expansion of 1/3 in N 0.965 * [taylor]: Taking taylor expansion of (log N) in N 0.965 * [taylor]: Taking taylor expansion of N in N 0.972 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.972 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.972 * [taylor]: Taking taylor expansion of 1.0 in N 0.972 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.972 * [taylor]: Taking taylor expansion of N in N 1.096 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.096 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.096 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.096 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.096 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.096 * [taylor]: Taking taylor expansion of 1/3 in N 1.096 * [taylor]: Taking taylor expansion of (log N) in N 1.096 * [taylor]: Taking taylor expansion of N in N 1.097 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.097 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.097 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.097 * [taylor]: Taking taylor expansion of 1/3 in N 1.097 * [taylor]: Taking taylor expansion of (log N) in N 1.097 * [taylor]: Taking taylor expansion of N in N 1.152 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.152 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.152 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.152 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.152 * [taylor]: Taking taylor expansion of 1/3 in N 1.152 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.152 * [taylor]: Taking taylor expansion of N in N 1.153 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.153 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.153 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.153 * [taylor]: Taking taylor expansion of 1/3 in N 1.153 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.153 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.153 * [taylor]: Taking taylor expansion of N in N 1.205 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.205 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.205 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.205 * [taylor]: Taking taylor expansion of -1 in N 1.206 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.206 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.206 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.206 * [taylor]: Taking taylor expansion of 1/3 in N 1.206 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.206 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.206 * [taylor]: Taking taylor expansion of N in N 1.207 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.207 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.207 * [taylor]: Taking taylor expansion of -1 in N 1.208 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.208 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.208 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.208 * [taylor]: Taking taylor expansion of 1/3 in N 1.208 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.208 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.208 * [taylor]: Taking taylor expansion of N in N 1.277 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2) 1.277 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.277 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.277 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.277 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.277 * [taylor]: Taking taylor expansion of 1/3 in N 1.277 * [taylor]: Taking taylor expansion of (log N) in N 1.277 * [taylor]: Taking taylor expansion of N in N 1.278 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.278 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.278 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.278 * [taylor]: Taking taylor expansion of 1/3 in N 1.278 * [taylor]: Taking taylor expansion of (log N) in N 1.278 * [taylor]: Taking taylor expansion of N in N 1.333 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.333 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.333 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.333 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.333 * [taylor]: Taking taylor expansion of 1/3 in N 1.333 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.333 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.333 * [taylor]: Taking taylor expansion of N in N 1.334 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.334 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.334 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.334 * [taylor]: Taking taylor expansion of 1/3 in N 1.334 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.334 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.334 * [taylor]: Taking taylor expansion of N in N 1.392 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.392 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.392 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.392 * [taylor]: Taking taylor expansion of -1 in N 1.393 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.393 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.393 * [taylor]: Taking taylor expansion of 1/3 in N 1.393 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.393 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.393 * [taylor]: Taking taylor expansion of N in N 1.394 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 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 (/ 1 N) 1/3) in N 1.395 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.395 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.395 * [taylor]: Taking taylor expansion of 1/3 in N 1.395 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.395 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.395 * [taylor]: Taking taylor expansion of N in N 1.464 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 1.464 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.464 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.464 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.464 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.464 * [taylor]: Taking taylor expansion of 1/3 in N 1.464 * [taylor]: Taking taylor expansion of (log N) in N 1.464 * [taylor]: Taking taylor expansion of N in N 1.465 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.465 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.465 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.465 * [taylor]: Taking taylor expansion of 1/3 in N 1.465 * [taylor]: Taking taylor expansion of (log N) in N 1.465 * [taylor]: Taking taylor expansion of N in N 1.513 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.513 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.513 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.513 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.513 * [taylor]: Taking taylor expansion of 1/3 in N 1.513 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.513 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.513 * [taylor]: Taking taylor expansion of N in N 1.514 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.514 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.514 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.514 * [taylor]: Taking taylor expansion of 1/3 in N 1.514 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.514 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.514 * [taylor]: Taking taylor expansion of N in N 1.573 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.573 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.573 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.573 * [taylor]: Taking taylor expansion of -1 in N 1.574 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.574 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.574 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.574 * [taylor]: Taking taylor expansion of 1/3 in N 1.574 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.574 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.574 * [taylor]: Taking taylor expansion of N in N 1.575 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.575 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.575 * [taylor]: Taking taylor expansion of -1 in N 1.575 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.576 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.576 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.576 * [taylor]: Taking taylor expansion of 1/3 in N 1.576 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.576 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.576 * [taylor]: Taking taylor expansion of N in N 1.645 * * * [progress]: simplifying candidates 1.646 * [simplify]: Simplifying using # : (* (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N))) (log (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (exp (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (* (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (* (* (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (sqrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (sqrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (pow (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) 3) (pow (log (/ (sqrt (+ N 1.0)) (cbrt N))) 3)) (+ (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (- (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (- (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (* (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ 1 (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ 1 (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ 1 (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ 1 (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ 1 (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ 1 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log 1)) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (sqrt (+ N 1.0)))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (sqrt (+ N 1.0)))) (- (log (* (cbrt N) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (- (+ (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (+ (/ N (pow (sqrt 1.0) 2)) (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))))) (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4)))) (- (+ (* 2.0 (/ 1 N)) (+ (log (* (pow (/ 1 (pow N 2)) 1/3) NAN)) (+ (log (* (pow (/ 1 N) 1/3) NAN)) (* 3 (/ (pow NAN 4) (pow N 2)))))) (+ (* 1.0 (/ 1 (pow N 2))) (+ (* 2 (/ (pow NAN 2) N)) (* 2.0 (/ (pow NAN 2) (pow N 2)))))) (- (+ (* 3 (/ (pow NAN 4) (pow N 2))) (+ (log (* (/ NAN (pow (cbrt -1) 2)) (pow (/ 1 (pow N 2)) 1/3))) (+ (log (* (pow (/ -1 N) 1/3) (/ NAN (cbrt -1)))) (* 2 (/ (pow NAN 2) N))))) (+ (* 2.0 (/ 1 N)) (+ (* 1.0 (/ 1 (pow N 2))) (* 2.0 (/ (pow NAN 2) (pow N 2)))))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) 1.654 * * [simplify]: iteration 0 : 535 enodes (cost 1335 ) 1.662 * * [simplify]: iteration 1 : 1767 enodes (cost 1269 ) 1.688 * * [simplify]: iteration 2 : 5001 enodes (cost 1169 ) 1.694 * [simplify]: Simplified to: (/ (* (/ (sqrt (+ N 1.0)) (cbrt N)) (sqrt (+ N 1.0))) (pow N 2/3)) (log (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (/ (* (/ (sqrt (+ N 1.0)) (cbrt N)) (sqrt (+ N 1.0))) (pow N 2/3)) (* (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (pow (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) 3) (sqrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (sqrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (pow (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) 3) (pow (log (/ (sqrt (+ N 1.0)) (cbrt N))) 3)) (+ (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (- (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (- (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (- (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt N))) (- (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt N))) (- (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt N))) (- (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt N))) (- (+ (* 2 (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (log (sqrt (+ N 1.0)))) (* 2 (log (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (* 2 (log (cbrt (sqrt (+ N 1.0))))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (cbrt (* (cbrt N) (cbrt N)))))) (+ (* 2 (log (cbrt (sqrt (+ N 1.0))))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (cbrt (sqrt N))))) (+ (* 2 (log (cbrt (sqrt (+ N 1.0))))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (cbrt 1)))) (+ (log (sqrt (+ N 1.0))) (+ (neg (* 2/3 (log N))) (* 2 (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N))))))) (+ (* 2 (log (cbrt (sqrt (+ N 1.0))))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (sqrt (cbrt N))))) (+ (* 2 (log (cbrt (sqrt (+ N 1.0))))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt 1)))) (- (+ (- (log (/ (fabs (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (cbrt (cbrt N)))) (log (sqrt (+ N 1.0)))) (* 2 (log (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (cbrt N))))) (- (+ (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (+ N 1.0)))) (* 2 (log (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt 1)))) (- (- (+ (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (* 2 (log (cbrt N)))) (* 2 (log (cbrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (cbrt N))))) (- (+ (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (* 2 (log (cbrt N)))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (cbrt (* (cbrt N) (cbrt N))))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (cbrt (sqrt N)))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (cbrt 1))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (* 2 (log (cbrt (cbrt N))))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (sqrt (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (cbrt (* (cbrt N) (cbrt N))))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (cbrt (sqrt N)))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (cbrt 1))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (* 2 (log (cbrt (cbrt N))))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (sqrt (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt 1)))) (- (- (+ (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (* 2 (log (cbrt N)))) (* 2 (log (cbrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (cbrt N))))) (- (+ (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (* 2 (log (cbrt N)))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (cbrt (* (cbrt N) (cbrt N))))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (cbrt (sqrt N)))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (cbrt 1))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (* 2 (log (cbrt (cbrt N))))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (sqrt (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (- (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt N))) (- (log (/ (sqrt (+ N 1.0)) (cbrt N))) (* 2/3 (log N))) (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (- (* 2/3 (log N)) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (+ (+ (* -1/2 (* (/ N 1.0) (/ N 1.0))) (+ (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))))) (/ N 1.0)) (- (- (+ (log (* (pow (/ 1 (pow N 2)) 1/3) NAN)) (+ (log (* (pow (/ 1 N) 1/3) NAN)) (* 3 (/ (pow NAN 4) (pow N 2))))) (* 1.0 (/ 1 (pow N 2)))) (- (* (/ (pow NAN 2) N) (+ (/ 2.0 N) 2)) (/ 2.0 N))) (- (+ (log (* (/ NAN (pow (cbrt -1) 2)) (pow (/ 1 (pow N 2)) 1/3))) (+ (log (* (pow (/ -1 N) 1/3) (/ NAN (cbrt -1)))) (* 2 (/ (pow NAN 2) N)))) (- (+ (* 2.0 (+ (/ (pow NAN 2) (pow N 2)) (/ 1 N))) (/ 1.0 (pow N 2))) (* 3 (/ (pow NAN 4) (pow N 2))))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) 1.694 * * * [progress]: adding candidates to table 1.995 * * [progress]: iteration 4 / 4 1.995 * * * [progress]: picking best candidate 2.008 * * * * [pick]: Picked # 2.008 * * * [progress]: localizing error 2.027 * * * [progress]: generating rewritten candidates 2.027 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.053 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 2.054 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 2) 2.056 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1) 2.067 * * * [progress]: generating series expansions 2.067 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.068 * [approximate]: Taking taylor expansion of (- (pow (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) 2) (pow (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) 2)) in (N) around 0 2.068 * [taylor]: Taking taylor expansion of (- (pow (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) 2) (pow (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) 2)) in N 2.068 * [taylor]: Taking taylor expansion of (pow (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) 2) in N 2.068 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) in N 2.068 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0))) in N 2.068 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 2.068 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 2.068 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 2.068 * [taylor]: Taking taylor expansion of 1/3 in N 2.068 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 2.068 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.068 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.068 * [taylor]: Taking taylor expansion of N in N 2.069 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.069 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.069 * [taylor]: Taking taylor expansion of N in N 2.069 * [taylor]: Taking taylor expansion of 1.0 in N 2.072 * [taylor]: Taking taylor expansion of (pow (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) 2) in N 2.072 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) in N 2.072 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))) in N 2.072 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.072 * [taylor]: Taking taylor expansion of 1/3 in N 2.072 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.072 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.072 * [taylor]: Taking taylor expansion of N in N 2.073 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.073 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.073 * [taylor]: Taking taylor expansion of N in N 2.073 * [taylor]: Taking taylor expansion of 1.0 in N 2.075 * [taylor]: Taking taylor expansion of (- (pow (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) 2) (pow (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) 2)) in N 2.075 * [taylor]: Taking taylor expansion of (pow (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) 2) in N 2.075 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) in N 2.075 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0))) in N 2.075 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 2.075 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 2.075 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 2.075 * [taylor]: Taking taylor expansion of 1/3 in N 2.075 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.075 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.075 * [taylor]: Taking taylor expansion of N in N 2.077 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.077 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.077 * [taylor]: Taking taylor expansion of N in N 2.077 * [taylor]: Taking taylor expansion of 1.0 in N 2.079 * [taylor]: Taking taylor expansion of (pow (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) 2) in N 2.079 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) in N 2.079 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))) in N 2.079 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.079 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.079 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.079 * [taylor]: Taking taylor expansion of 1/3 in N 2.079 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.079 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.079 * [taylor]: Taking taylor expansion of N in N 2.080 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.080 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.080 * [taylor]: Taking taylor expansion of N in N 2.080 * [taylor]: Taking taylor expansion of 1.0 in N 2.161 * [approximate]: Taking taylor expansion of (- (pow (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) 2) (pow (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) 2)) in (N) around 0 2.161 * [taylor]: Taking taylor expansion of (- (pow (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) 2) (pow (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) 2)) in N 2.161 * [taylor]: Taking taylor expansion of (pow (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) 2) in N 2.161 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 2.161 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 2.161 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 2.161 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 2.161 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 2.161 * [taylor]: Taking taylor expansion of 1/3 in N 2.161 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 2.161 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.161 * [taylor]: Taking taylor expansion of N in N 2.162 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.162 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.162 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.162 * [taylor]: Taking taylor expansion of N in N 2.162 * [taylor]: Taking taylor expansion of 1.0 in N 2.166 * [taylor]: Taking taylor expansion of (pow (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) 2) in N 2.166 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 2.166 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 2.166 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.166 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.166 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.166 * [taylor]: Taking taylor expansion of 1/3 in N 2.166 * [taylor]: Taking taylor expansion of (log N) in N 2.166 * [taylor]: Taking taylor expansion of N in N 2.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.167 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.167 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.167 * [taylor]: Taking taylor expansion of N in N 2.167 * [taylor]: Taking taylor expansion of 1.0 in N 2.176 * [taylor]: Taking taylor expansion of (- (pow (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) 2) (pow (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) 2)) in N 2.176 * [taylor]: Taking taylor expansion of (pow (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) 2) in N 2.176 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 2.176 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 2.176 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 2.176 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 2.176 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 2.176 * [taylor]: Taking taylor expansion of 1/3 in N 2.176 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 2.176 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.176 * [taylor]: Taking taylor expansion of N in N 2.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.177 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.177 * [taylor]: Taking taylor expansion of N in N 2.177 * [taylor]: Taking taylor expansion of 1.0 in N 2.181 * [taylor]: Taking taylor expansion of (pow (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) 2) in N 2.181 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 2.182 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 2.182 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.182 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.182 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.182 * [taylor]: Taking taylor expansion of 1/3 in N 2.182 * [taylor]: Taking taylor expansion of (log N) in N 2.182 * [taylor]: Taking taylor expansion of N in N 2.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.182 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.183 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.183 * [taylor]: Taking taylor expansion of N in N 2.183 * [taylor]: Taking taylor expansion of 1.0 in N 2.283 * [approximate]: Taking taylor expansion of (- (pow (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) 2) (pow (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) 2)) in (N) around 0 2.283 * [taylor]: Taking taylor expansion of (- (pow (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) 2) (pow (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) 2)) in N 2.283 * [taylor]: Taking taylor expansion of (pow (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) 2) in N 2.283 * [taylor]: Taking taylor expansion of (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 2.283 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 2.283 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 2.283 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 2.283 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.283 * [taylor]: Taking taylor expansion of -1 in N 2.286 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 2.286 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 2.286 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 2.286 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 2.286 * [taylor]: Taking taylor expansion of 1/3 in N 2.286 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 2.286 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.286 * [taylor]: Taking taylor expansion of N in N 2.287 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.287 * [taylor]: Taking taylor expansion of 1.0 in N 2.287 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.287 * [taylor]: Taking taylor expansion of N in N 2.296 * [taylor]: Taking taylor expansion of (pow (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) 2) in N 2.296 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 2.296 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 2.296 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 2.296 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.296 * [taylor]: Taking taylor expansion of -1 in N 2.297 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 2.297 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.297 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.297 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.297 * [taylor]: Taking taylor expansion of 1/3 in N 2.297 * [taylor]: Taking taylor expansion of (log N) in N 2.297 * [taylor]: Taking taylor expansion of N in N 2.298 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.298 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.298 * [taylor]: Taking taylor expansion of 1.0 in N 2.298 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.298 * [taylor]: Taking taylor expansion of N in N 2.304 * [taylor]: Taking taylor expansion of (- (pow (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) 2) (pow (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) 2)) in N 2.305 * [taylor]: Taking taylor expansion of (pow (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) 2) in N 2.305 * [taylor]: Taking taylor expansion of (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 2.305 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 2.305 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 2.305 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 2.305 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.305 * [taylor]: Taking taylor expansion of -1 in N 2.307 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 2.307 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 2.307 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 2.307 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 2.307 * [taylor]: Taking taylor expansion of 1/3 in N 2.307 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 2.307 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.307 * [taylor]: Taking taylor expansion of N in N 2.308 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.308 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.308 * [taylor]: Taking taylor expansion of 1.0 in N 2.308 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.308 * [taylor]: Taking taylor expansion of N in N 2.317 * [taylor]: Taking taylor expansion of (pow (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) 2) in N 2.317 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 2.317 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 2.317 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 2.317 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.317 * [taylor]: Taking taylor expansion of -1 in N 2.318 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 2.318 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.318 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.318 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.318 * [taylor]: Taking taylor expansion of 1/3 in N 2.318 * [taylor]: Taking taylor expansion of (log N) in N 2.318 * [taylor]: Taking taylor expansion of N in N 2.319 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.319 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.319 * [taylor]: Taking taylor expansion of 1.0 in N 2.319 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.319 * [taylor]: Taking taylor expansion of N in N 2.512 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 2.512 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 2.512 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.512 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.512 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.512 * [taylor]: Taking taylor expansion of 1/3 in N 2.512 * [taylor]: Taking taylor expansion of (log N) in N 2.512 * [taylor]: Taking taylor expansion of N in N 2.513 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.513 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.513 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.513 * [taylor]: Taking taylor expansion of 1/3 in N 2.513 * [taylor]: Taking taylor expansion of (log N) in N 2.513 * [taylor]: Taking taylor expansion of N in N 2.566 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 2.566 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.566 * [taylor]: Taking taylor expansion of 1/3 in N 2.566 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.566 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.566 * [taylor]: Taking taylor expansion of N in N 2.567 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.567 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.567 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.567 * [taylor]: Taking taylor expansion of 1/3 in N 2.567 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.567 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.567 * [taylor]: Taking taylor expansion of N in N 2.624 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 2.624 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.624 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.624 * [taylor]: Taking taylor expansion of -1 in N 2.625 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.625 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.625 * [taylor]: Taking taylor expansion of 1/3 in N 2.625 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.625 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.625 * [taylor]: Taking taylor expansion of N in N 2.626 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.626 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.626 * [taylor]: Taking taylor expansion of -1 in N 2.627 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.627 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.627 * [taylor]: Taking taylor expansion of 1/3 in N 2.627 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.627 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.627 * [taylor]: Taking taylor expansion of N in N 2.694 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 2) 2.694 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 2.694 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.694 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.694 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.694 * [taylor]: Taking taylor expansion of 1/3 in N 2.694 * [taylor]: Taking taylor expansion of (log N) in N 2.694 * [taylor]: Taking taylor expansion of N in N 2.695 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.695 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.695 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.695 * [taylor]: Taking taylor expansion of 1/3 in N 2.695 * [taylor]: Taking taylor expansion of (log N) in N 2.695 * [taylor]: Taking taylor expansion of N in N 2.743 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 2.743 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.743 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.743 * [taylor]: Taking taylor expansion of 1/3 in N 2.743 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.743 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.743 * [taylor]: Taking taylor expansion of N in N 2.744 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.744 * [taylor]: Taking taylor expansion of 1/3 in N 2.744 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.744 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.744 * [taylor]: Taking taylor expansion of N in N 2.804 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 2.804 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.804 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.804 * [taylor]: Taking taylor expansion of -1 in N 2.804 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.805 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.805 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.805 * [taylor]: Taking taylor expansion of 1/3 in N 2.805 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.805 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.805 * [taylor]: Taking taylor expansion of N in N 2.805 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.806 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.806 * [taylor]: Taking taylor expansion of -1 in N 2.806 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.806 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.806 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.806 * [taylor]: Taking taylor expansion of 1/3 in N 2.806 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.806 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.806 * [taylor]: Taking taylor expansion of N in N 2.874 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1) 2.874 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 2.874 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.874 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.874 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.874 * [taylor]: Taking taylor expansion of 1/3 in N 2.874 * [taylor]: Taking taylor expansion of (log N) in N 2.874 * [taylor]: Taking taylor expansion of N in N 2.874 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.875 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.875 * [taylor]: Taking taylor expansion of 1/3 in N 2.875 * [taylor]: Taking taylor expansion of (log N) in N 2.875 * [taylor]: Taking taylor expansion of N in N 2.931 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 2.931 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.931 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.931 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.931 * [taylor]: Taking taylor expansion of 1/3 in N 2.931 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.931 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.931 * [taylor]: Taking taylor expansion of N in N 2.932 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.932 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.932 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.932 * [taylor]: Taking taylor expansion of 1/3 in N 2.932 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.932 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.932 * [taylor]: Taking taylor expansion of N in N 2.983 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 2.983 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.983 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.983 * [taylor]: Taking taylor expansion of -1 in N 2.984 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.984 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.984 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.984 * [taylor]: Taking taylor expansion of 1/3 in N 2.984 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.984 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.984 * [taylor]: Taking taylor expansion of N in N 2.985 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.985 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.985 * [taylor]: Taking taylor expansion of -1 in N 2.986 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.986 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.986 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.986 * [taylor]: Taking taylor expansion of 1/3 in N 2.986 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.986 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.986 * [taylor]: Taking taylor expansion of N in N 3.055 * * * [progress]: simplifying candidates 3.059 * [simplify]: Simplifying using # : (/ (exp (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (exp (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (log (- (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (exp (- (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (* (cbrt (- (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (cbrt (- (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))))) (cbrt (- (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (* (* (- (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (- (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (- (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (sqrt (- (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (sqrt (- (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (- (pow (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) 3) (pow (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) 3)) (+ (* (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) 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1/3) (/ NAN (pow (cbrt -1) 2)))) N))))))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) 3.148 * * * [progress]: adding candidates to table 3.696 * [progress]: [Phase 3 of 3] Extracting. 3.696 * * [regime]: Finding splitpoints for: (# # # # #) 3.699 * * * [regime-changes]: Trying 1 branch expressions: (N) 3.700 * * * * [regimes]: Trying to branch on N from (# # # # #) 3.729 * * * [regime]: Found split indices: #