4.988 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.048 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.050 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.052 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.053 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.053 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.053 * * [progress]: iteration 1 / 4 0.053 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.062 * * * [progress]: generating rewritten candidates 0.062 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.068 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.072 * * * [progress]: generating series expansions 0.072 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.072 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.072 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.072 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.072 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.073 * [taylor]: Taking taylor expansion of N in N 0.073 * [taylor]: Taking taylor expansion of 1.0 in N 0.073 * [taylor]: Taking taylor expansion of (log N) in N 0.073 * [taylor]: Taking taylor expansion of N in N 0.074 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.074 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.074 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.074 * [taylor]: Taking taylor expansion of 1.0 in N 0.074 * [taylor]: Taking taylor expansion of (log N) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.092 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.092 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.092 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.092 * [taylor]: Taking taylor expansion of N in N 0.093 * [taylor]: Taking taylor expansion of 1.0 in N 0.093 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.093 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.093 * [taylor]: Taking taylor expansion of N in N 0.094 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.094 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.094 * [taylor]: Taking taylor expansion of N in N 0.094 * [taylor]: Taking taylor expansion of 1.0 in N 0.094 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.094 * [taylor]: Taking taylor expansion of N in N 0.129 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.129 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.129 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.129 * [taylor]: Taking taylor expansion of 1.0 in N 0.129 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.130 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.130 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.130 * [taylor]: Taking taylor expansion of -1 in N 0.130 * [taylor]: Taking taylor expansion of N in N 0.131 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.131 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.131 * [taylor]: Taking taylor expansion of 1.0 in N 0.131 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.131 * [taylor]: Taking taylor expansion of N in N 0.132 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.132 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.132 * [taylor]: Taking taylor expansion of -1 in N 0.132 * [taylor]: Taking taylor expansion of N in N 0.165 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.165 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.165 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.165 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.165 * [taylor]: Taking taylor expansion of 1.0 in N 0.166 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.166 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.166 * [taylor]: Taking taylor expansion of N in N 0.166 * [taylor]: Taking taylor expansion of 1.0 in N 0.177 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.177 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 0.177 * [taylor]: Taking taylor expansion of 1.0 in N 0.178 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [taylor]: Taking taylor expansion of 1.0 in N 0.190 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.190 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.190 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.190 * [taylor]: Taking taylor expansion of 1.0 in N 0.190 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.190 * [taylor]: Taking taylor expansion of N in N 0.191 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.191 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.191 * [taylor]: Taking taylor expansion of 1.0 in N 0.191 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.191 * [taylor]: Taking taylor expansion of N in N 0.211 * * * [progress]: simplifying candidates 0.211 * [simplify]: Simplifying using # : (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.215 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.218 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.227 * * [simplify]: iteration 2 : 1875 enodes (cost 250 ) 0.261 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.263 * [simplify]: Simplified to: (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0)))) (* (log N) (log N))) (log (/ 1 N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (log (/ 1 N)) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) 0.263 * * * [progress]: adding candidates to table 0.366 * * [progress]: iteration 2 / 4 0.367 * * * [progress]: picking best candidate 0.372 * * * * [pick]: Picked # 0.372 * * * [progress]: localizing error 0.382 * * * [progress]: generating rewritten candidates 0.382 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.386 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.429 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.455 * * * [progress]: generating series expansions 0.455 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.456 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.456 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.456 * [taylor]: Taking taylor expansion of N in N 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.457 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.457 * [taylor]: Taking taylor expansion of N in N 0.464 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.464 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.464 * [taylor]: Taking taylor expansion of N in N 0.464 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.464 * [taylor]: Taking taylor expansion of N in N 0.468 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.468 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.468 * [taylor]: Taking taylor expansion of N in N 0.468 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.468 * [taylor]: Taking taylor expansion of N in N 0.472 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.472 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in (N) around 0 0.472 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.472 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.472 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.472 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.472 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.472 * [taylor]: Taking taylor expansion of N in N 0.473 * [taylor]: Taking taylor expansion of 0.5 in N 0.473 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.473 * [taylor]: Taking taylor expansion of N in N 0.474 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.474 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.474 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.474 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.474 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.474 * [taylor]: Taking taylor expansion of N in N 0.474 * [taylor]: Taking taylor expansion of 0.5 in N 0.474 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.474 * [taylor]: Taking taylor expansion of N in N 0.497 * [approximate]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in (N) around 0 0.497 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.497 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.497 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.497 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [taylor]: Taking taylor expansion of 0.5 in N 0.497 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.497 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.497 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.497 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [taylor]: Taking taylor expansion of 0.5 in N 0.523 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in (N) around 0 0.523 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.523 * [taylor]: Taking taylor expansion of -1 in N 0.523 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.523 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.523 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.523 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.523 * [taylor]: Taking taylor expansion of N in N 0.523 * [taylor]: Taking taylor expansion of 0.5 in N 0.523 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.523 * [taylor]: Taking taylor expansion of N in N 0.524 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.524 * [taylor]: Taking taylor expansion of -1 in N 0.524 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.524 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.524 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.524 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.524 * [taylor]: Taking taylor expansion of N in N 0.524 * [taylor]: Taking taylor expansion of 0.5 in N 0.524 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.524 * [taylor]: Taking taylor expansion of N in N 0.548 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.548 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 0.548 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.548 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.548 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.548 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.548 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.548 * [taylor]: Taking taylor expansion of N in N 0.549 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.549 * [taylor]: Taking taylor expansion of 1.0 in N 0.549 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.549 * [taylor]: Taking taylor expansion of N in N 0.549 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.549 * [taylor]: Taking taylor expansion of 0.5 in N 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.549 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.549 * [taylor]: Taking taylor expansion of N in N 0.550 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.550 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.550 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.550 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.550 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.550 * [taylor]: Taking taylor expansion of N in N 0.551 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.551 * [taylor]: Taking taylor expansion of 1.0 in N 0.551 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.551 * [taylor]: Taking taylor expansion of N in N 0.551 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.551 * [taylor]: Taking taylor expansion of 0.5 in N 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.551 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.551 * [taylor]: Taking taylor expansion of N in N 0.560 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 0.560 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.560 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.560 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.560 * [taylor]: Taking taylor expansion of 1.0 in N 0.560 * [taylor]: Taking taylor expansion of N in N 0.560 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.560 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.560 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.560 * [taylor]: Taking taylor expansion of N in N 0.560 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.560 * [taylor]: Taking taylor expansion of 0.5 in N 0.560 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.560 * [taylor]: Taking taylor expansion of N in N 0.560 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.560 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.560 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.560 * [taylor]: Taking taylor expansion of 1.0 in N 0.560 * [taylor]: Taking taylor expansion of N in N 0.560 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.560 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.561 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.561 * [taylor]: Taking taylor expansion of N in N 0.561 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.561 * [taylor]: Taking taylor expansion of 0.5 in N 0.561 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.561 * [taylor]: Taking taylor expansion of N in N 0.568 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 0.568 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.568 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.569 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.569 * [taylor]: Taking taylor expansion of 0.5 in N 0.569 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.569 * [taylor]: Taking taylor expansion of N in N 0.569 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.569 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.569 * [taylor]: Taking taylor expansion of 1.0 in N 0.569 * [taylor]: Taking taylor expansion of N in N 0.569 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.569 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.569 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.569 * [taylor]: Taking taylor expansion of N in N 0.569 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.569 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.569 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.569 * [taylor]: Taking taylor expansion of 0.5 in N 0.569 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.569 * [taylor]: Taking taylor expansion of N in N 0.569 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.569 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.569 * [taylor]: Taking taylor expansion of 1.0 in N 0.569 * [taylor]: Taking taylor expansion of N in N 0.569 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.569 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.569 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.569 * [taylor]: Taking taylor expansion of N in N 0.578 * * * [progress]: simplifying candidates 0.581 * [simplify]: Simplifying using # : (- 2) (- (* (log N) 2)) (- (* (log N) 2)) (- (log (pow N 2))) (- 0 (* (log N) 2)) (- 0 (* (log N) 2)) (- 0 (log (pow N 2))) (- (log 1) (* (log N) 2)) (- (log 1) (* (log N) 2)) (- (log 1) (log (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (- 1) (- (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 2)) (/ (cbrt 1) (pow (cbrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 2)) (/ (cbrt 1) (pow (sqrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (cbrt 1) (cbrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 2))) (/ (cbrt 1) (sqrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 2 2))) (/ (cbrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 2)) (/ (sqrt 1) (pow (cbrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (sqrt 1) (cbrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow N (/ 2 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (cbrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N 2)) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N 2)) (/ (pow N 2) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N (/ 2 2))) (/ (pow N 2) (cbrt 1)) (/ (pow N 2) (sqrt 1)) (/ (pow N 2) 1) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (+ (- (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (log (/ 1 (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) (/ 0.3333333333333333 N)) (* (/ 1 (pow N 2)) (- 0.5)) (* (/ 1 (pow N 2)) (/ 0.3333333333333333 N)) (* (/ 1 (pow N 2)) (- 0.5)) (* (/ 0.3333333333333333 N) (/ 1 (pow N 2))) (* (- 0.5) (/ 1 (pow N 2))) (* (/ 0.3333333333333333 N) (/ 1 (pow N 2))) (* (- 0.5) (/ 1 (pow N 2))) (* (/ 1 (pow N 2)) (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5)))) (* (/ 1 (pow N 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) 1) (* (/ 1 (pow N 2)) (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5))) (* (/ 1 (pow N 2)) (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5))) (* (/ 1 (pow N 2)) 1) (* (cbrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (/ 1.0 N))) (log (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (exp (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (* (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (cbrt (+ (* (/ 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 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (+ (* (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) 1.0)) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) N) (+ (* (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) 1.0)) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) N) (+ (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) 1.0)) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) N) (+ (* (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (+ (/ 0.3333333333333333 N) 0.5) 1.0)) (* (+ (/ 0.3333333333333333 N) 0.5) N) (+ (* (* 1 (- (/ 0.3333333333333333 N) 0.5)) N) (* (pow N 2) 1.0)) (* (pow N 2) N) (+ (pow (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) 3) (pow (/ 1.0 N) 3)) (+ (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (- (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1.0 N) (/ 1.0 N))) (- (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- 0.5)) (/ 1.0 N)) (+ (* (- 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (- 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 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)))) 0.589 * * [simplify]: iteration 0 : 583 enodes (cost 1087 ) 0.600 * * [simplify]: iteration 1 : 2726 enodes (cost 904 ) 0.645 * * [simplify]: iteration 2 : 5001 enodes (cost 841 ) 0.650 * [simplify]: Simplified to: (- 2) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (pow (/ 1 (pow N 2)) 3) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (pow (/ 1 (pow N 2)) 3) (fabs (/ 1 N)) (fabs (/ 1 N)) (- 1) (- (pow N 2)) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow N 2)) (pow N 2) (/ 1 (pow (cbrt N) 4)) (/ 1 N) 1 (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (fabs N)) 1 (/ 1 N) (pow N 2) (pow N 2) (pow N 2) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (pow (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) 3) (pow (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) 3) (* (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (pow (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) 3) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (* (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N))) (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)) (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (fabs N)) (/ (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (fabs N)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (fabs N)) (/ (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (fabs N)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ 0.3333333333333333 (pow N 3)) (/ (- 0.5) (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ (- 0.5) (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ (- 0.5) (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ (- 0.5) (pow N 2)) (/ (/ (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) N) N) (* (/ 1 (pow N 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (/ 1 (pow N 2)) (/ (/ (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) N) N) (/ (/ (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) N) N) (/ 1 (pow N 2)) (* (cbrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow (cbrt N) 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow (cbrt N) 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow (cbrt N) 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (pow N 2)) (/ (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (exp (+ (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ 1.0 N))) (log (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (exp (+ (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ 1.0 N))) (* (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (pow (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) 3) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (+ (* (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) 1.0)) (* (pow N 3) (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)))) (+ (* (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) 1.0)) (* (pow N 3) (+ (/ 0.3333333333333333 N) 0.5)) (+ (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) 1.0)) (* N (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)))) (+ (* (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (+ (/ 0.3333333333333333 N) 0.5) 1.0)) (* (+ (/ 0.3333333333333333 N) 0.5) N) (+ (* (* 1 (- (/ 0.3333333333333333 N) 0.5)) N) (* (pow N 2) 1.0)) (pow N 3) (+ (pow (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) 3) (pow (/ 1.0 N) 3)) (- (* (/ 1.0 N) (/ 1.0 N)) (- (* (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) (* (/ 1 (pow N 4)) (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5))))) (+ (- (* (/ 1.0 N) (/ 1.0 N))) (* (/ 1 (pow N 4)) (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)))) (- (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) 0.650 * * * [progress]: adding candidates to table 0.921 * * [progress]: iteration 3 / 4 0.921 * * * [progress]: picking best candidate 0.929 * * * * [pick]: Picked # 0.929 * * * [progress]: localizing error 0.934 * * * [progress]: generating rewritten candidates 0.934 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.938 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.951 * * * [progress]: generating series expansions 0.951 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.952 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.952 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.952 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.952 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.952 * [taylor]: Taking taylor expansion of N in N 0.952 * [taylor]: Taking taylor expansion of 1.0 in N 0.952 * [taylor]: Taking taylor expansion of N in N 0.953 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.953 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.953 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.953 * [taylor]: Taking taylor expansion of N in N 0.953 * [taylor]: Taking taylor expansion of 1.0 in N 0.953 * [taylor]: Taking taylor expansion of N in N 0.966 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.966 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.966 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.966 * [taylor]: Taking taylor expansion of N in N 0.966 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.966 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.966 * [taylor]: Taking taylor expansion of N in N 0.967 * [taylor]: Taking taylor expansion of 1.0 in N 0.968 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.968 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.968 * [taylor]: Taking taylor expansion of N in N 0.969 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.969 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.969 * [taylor]: Taking taylor expansion of N in N 0.969 * [taylor]: Taking taylor expansion of 1.0 in N 0.995 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.995 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.995 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.995 * [taylor]: Taking taylor expansion of -1 in N 0.995 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.995 * [taylor]: Taking taylor expansion of N in N 0.995 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.995 * [taylor]: Taking taylor expansion of 1.0 in N 0.995 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.995 * [taylor]: Taking taylor expansion of N in N 0.998 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.998 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.998 * [taylor]: Taking taylor expansion of -1 in N 0.998 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.998 * [taylor]: Taking taylor expansion of N in N 0.998 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.998 * [taylor]: Taking taylor expansion of 1.0 in N 0.998 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.998 * [taylor]: Taking taylor expansion of N in N 1.036 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.036 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 1.036 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.036 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.037 * [taylor]: Taking taylor expansion of N in N 1.037 * [taylor]: Taking taylor expansion of 1.0 in N 1.037 * [taylor]: Taking taylor expansion of N in N 1.037 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.037 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.037 * [taylor]: Taking taylor expansion of N in N 1.037 * [taylor]: Taking taylor expansion of 1.0 in N 1.037 * [taylor]: Taking taylor expansion of N in N 1.043 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 1.044 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.044 * [taylor]: Taking taylor expansion of N in N 1.044 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.044 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.044 * [taylor]: Taking taylor expansion of N in N 1.044 * [taylor]: Taking taylor expansion of 1.0 in N 1.044 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.044 * [taylor]: Taking taylor expansion of N in N 1.044 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.044 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.044 * [taylor]: Taking taylor expansion of N in N 1.044 * [taylor]: Taking taylor expansion of 1.0 in N 1.058 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 1.058 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.058 * [taylor]: Taking taylor expansion of -1 in N 1.058 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.058 * [taylor]: Taking taylor expansion of N in N 1.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.058 * [taylor]: Taking taylor expansion of 1.0 in N 1.058 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.058 * [taylor]: Taking taylor expansion of N in N 1.058 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.058 * [taylor]: Taking taylor expansion of -1 in N 1.058 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.058 * [taylor]: Taking taylor expansion of N in N 1.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.058 * [taylor]: Taking taylor expansion of 1.0 in N 1.058 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.058 * [taylor]: Taking taylor expansion of N in N 1.081 * * * [progress]: simplifying candidates 1.082 * [simplify]: Simplifying using # : (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 1.086 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 1.090 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 1.104 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 1.181 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 1.183 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 1.184 * * * [progress]: adding candidates to table 1.299 * * [progress]: iteration 4 / 4 1.299 * * * [progress]: picking best candidate 1.305 * * * * [pick]: Picked # 1.305 * * * [progress]: localizing error 1.320 * * * [progress]: generating rewritten candidates 1.320 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.340 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.342 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.343 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1) 1.345 * * * [progress]: generating series expansions 1.345 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.345 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (* 3 (log (pow N 1/3)))) in (N) around 0 1.345 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (* 3 (log (pow N 1/3)))) in N 1.345 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.345 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.345 * [taylor]: Taking taylor expansion of N in N 1.345 * [taylor]: Taking taylor expansion of 1.0 in N 1.346 * [taylor]: Taking taylor expansion of (* 3 (log (pow N 1/3))) in N 1.346 * [taylor]: Taking taylor expansion of 3 in N 1.346 * [taylor]: Taking taylor expansion of (log (pow N 1/3)) in N 1.346 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.346 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.346 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.346 * [taylor]: Taking taylor expansion of 1/3 in N 1.346 * [taylor]: Taking taylor expansion of (log N) in N 1.346 * [taylor]: Taking taylor expansion of N in N 1.347 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (* 3 (log (pow N 1/3)))) in N 1.347 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.347 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.347 * [taylor]: Taking taylor expansion of N in N 1.347 * [taylor]: Taking taylor expansion of 1.0 in N 1.348 * [taylor]: Taking taylor expansion of (* 3 (log (pow N 1/3))) in N 1.348 * [taylor]: Taking taylor expansion of 3 in N 1.348 * [taylor]: Taking taylor expansion of (log (pow N 1/3)) in N 1.348 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.348 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.348 * [taylor]: Taking taylor expansion of 1/3 in N 1.348 * [taylor]: Taking taylor expansion of (log N) in N 1.348 * [taylor]: Taking taylor expansion of N in N 1.372 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (* 3 (log (pow (/ 1 N) 1/3)))) in (N) around 0 1.372 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (* 3 (log (pow (/ 1 N) 1/3)))) in N 1.372 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.372 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.372 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.372 * [taylor]: Taking taylor expansion of N in N 1.372 * [taylor]: Taking taylor expansion of 1.0 in N 1.372 * [taylor]: Taking taylor expansion of (* 3 (log (pow (/ 1 N) 1/3))) in N 1.372 * [taylor]: Taking taylor expansion of 3 in N 1.373 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/3)) in N 1.373 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.373 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.373 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.373 * [taylor]: Taking taylor expansion of 1/3 in N 1.373 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.373 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.373 * [taylor]: Taking taylor expansion of N in N 1.374 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (* 3 (log (pow (/ 1 N) 1/3)))) in N 1.374 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.374 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.374 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.374 * [taylor]: Taking taylor expansion of N in N 1.374 * [taylor]: Taking taylor expansion of 1.0 in N 1.374 * [taylor]: Taking taylor expansion of (* 3 (log (pow (/ 1 N) 1/3))) in N 1.374 * [taylor]: Taking taylor expansion of 3 in N 1.374 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/3)) in N 1.374 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.374 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.374 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.375 * [taylor]: Taking taylor expansion of 1/3 in N 1.375 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.375 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.375 * [taylor]: Taking taylor expansion of N in N 1.397 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) in (N) around 0 1.397 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) in N 1.397 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.397 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.397 * [taylor]: Taking taylor expansion of 1.0 in N 1.397 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.397 * [taylor]: Taking taylor expansion of N in N 1.398 * [taylor]: Taking taylor expansion of (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) in N 1.398 * [taylor]: Taking taylor expansion of 3 in N 1.398 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (/ 1 N) 1/3))) in N 1.398 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.398 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.398 * [taylor]: Taking taylor expansion of -1 in N 1.399 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.399 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.399 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.399 * [taylor]: Taking taylor expansion of 1/3 in N 1.399 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.399 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.399 * [taylor]: Taking taylor expansion of N in N 1.405 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) in N 1.405 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.405 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.405 * [taylor]: Taking taylor expansion of 1.0 in N 1.405 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.405 * [taylor]: Taking taylor expansion of N in N 1.406 * [taylor]: Taking taylor expansion of (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) in N 1.406 * [taylor]: Taking taylor expansion of 3 in N 1.406 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (/ 1 N) 1/3))) in N 1.407 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.407 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.407 * [taylor]: Taking taylor expansion of -1 in N 1.407 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.407 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.407 * [taylor]: Taking taylor expansion of 1/3 in N 1.407 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.407 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.407 * [taylor]: Taking taylor expansion of N in N 1.438 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.438 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.438 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.438 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.438 * [taylor]: Taking taylor expansion of N in N 1.438 * [taylor]: Taking taylor expansion of 1.0 in N 1.439 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.439 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.439 * [taylor]: Taking taylor expansion of N in N 1.439 * [taylor]: Taking taylor expansion of 1.0 in N 1.450 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.450 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.450 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.450 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.450 * [taylor]: Taking taylor expansion of N in N 1.450 * [taylor]: Taking taylor expansion of 1.0 in N 1.451 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.451 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.451 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.451 * [taylor]: Taking taylor expansion of N in N 1.451 * [taylor]: Taking taylor expansion of 1.0 in N 1.463 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.463 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.463 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.463 * [taylor]: Taking taylor expansion of 1.0 in N 1.463 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.463 * [taylor]: Taking taylor expansion of N in N 1.464 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.464 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.464 * [taylor]: Taking taylor expansion of 1.0 in N 1.464 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.464 * [taylor]: Taking taylor expansion of N in N 1.478 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.478 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.478 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.478 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.478 * [taylor]: Taking taylor expansion of 1/3 in N 1.478 * [taylor]: Taking taylor expansion of (log N) in N 1.478 * [taylor]: Taking taylor expansion of N in N 1.479 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.479 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.479 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.479 * [taylor]: Taking taylor expansion of 1/3 in N 1.479 * [taylor]: Taking taylor expansion of (log N) in N 1.479 * [taylor]: Taking taylor expansion of N in N 1.533 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.533 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.533 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.533 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.533 * [taylor]: Taking taylor expansion of 1/3 in N 1.533 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.533 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.533 * [taylor]: Taking taylor expansion of N in N 1.534 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.534 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.534 * [taylor]: Taking taylor expansion of 1/3 in N 1.534 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.534 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.534 * [taylor]: Taking taylor expansion of N in N 1.591 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.591 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.591 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.591 * [taylor]: Taking taylor expansion of -1 in N 1.592 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.592 * [taylor]: Taking taylor expansion of 1/3 in N 1.592 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.592 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.592 * [taylor]: Taking taylor expansion of N in N 1.593 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.593 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.593 * [taylor]: Taking taylor expansion of -1 in N 1.594 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.594 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.594 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.594 * [taylor]: Taking taylor expansion of 1/3 in N 1.594 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.594 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.594 * [taylor]: Taking taylor expansion of N in N 1.660 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1) 1.660 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.660 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.660 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.660 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.660 * [taylor]: Taking taylor expansion of 1/3 in N 1.660 * [taylor]: Taking taylor expansion of (log N) in N 1.660 * [taylor]: Taking taylor expansion of N in N 1.661 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.661 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.661 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.661 * [taylor]: Taking taylor expansion of 1/3 in N 1.661 * [taylor]: Taking taylor expansion of (log N) in N 1.661 * [taylor]: Taking taylor expansion of N in N 1.708 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.708 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.708 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.708 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.708 * [taylor]: Taking taylor expansion of 1/3 in N 1.708 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.708 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.708 * [taylor]: Taking taylor expansion of N in N 1.714 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.715 * [taylor]: Taking taylor expansion of 1/3 in N 1.715 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.715 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.715 * [taylor]: Taking taylor expansion of N in N 1.765 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.765 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.765 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.765 * [taylor]: Taking taylor expansion of -1 in N 1.766 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.766 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.766 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.766 * [taylor]: Taking taylor expansion of 1/3 in N 1.766 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.766 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.766 * [taylor]: Taking taylor expansion of N in N 1.767 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.767 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.767 * [taylor]: Taking taylor expansion of -1 in N 1.768 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.768 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.768 * [taylor]: Taking taylor expansion of 1/3 in N 1.768 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.768 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.768 * [taylor]: Taking taylor expansion of N in N 1.834 * * * [progress]: simplifying candidates 1.835 * [simplify]: Simplifying using # : (/ (/ (+ N 1.0) (exp (* 2 (log (cbrt N))))) (cbrt N)) (/ (exp (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (cbrt N)) (log (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (exp (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (* (cbrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (cbrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))))) (cbrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (* (* (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (sqrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (sqrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (- (pow (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) 3) (pow (log (cbrt N)) 3)) (+ (* (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (+ (* (log (cbrt N)) (log (cbrt N))) (* (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))))) (- (log (cbrt N))) (- (* (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (* (log (cbrt N)) (log (cbrt N)))) (+ (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (+ (sqrt (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (sqrt (log (cbrt N)))) (- (sqrt (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (sqrt (log (cbrt N)))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt (* (cbrt N) (cbrt N))))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt (sqrt N)))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt 1))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (sqrt (cbrt N)))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log 1)) (- (- (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (cbrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (* 2 (log (cbrt N)))) (log (cbrt N))) (+ (* 2 (log (cbrt N))) (log (cbrt N))) (- (log (cbrt N))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (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)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (* 3 (log (pow N 1/3))))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (+ (* 3 (log (pow (/ 1 N) -1/3))) (log (/ 1 N))))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (+ (log (/ -1 N)) (* 3 (log (* (pow (* -1 N) 1/3) (cbrt -1))))))) (- (+ (* 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)))) (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)) 1.840 * * [simplify]: iteration 0 : 322 enodes (cost 540 ) 1.845 * * [simplify]: iteration 1 : 990 enodes (cost 485 ) 1.862 * * [simplify]: iteration 2 : 4018 enodes (cost 429 ) 1.962 * * [simplify]: iteration 3 : 5001 enodes (cost 422 ) 1.964 * [simplify]: Simplified to: (/ (+ N 1.0) N) (/ (+ N 1.0) N) (log (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (/ (+ N 1.0) N) (* (cbrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (cbrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))))) (cbrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (pow (- (log (+ N 1.0)) (* 3 (log (cbrt N)))) 3) (sqrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (sqrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (- (pow (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) 3) (pow (log (cbrt N)) 3)) (+ (* (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (+ (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (* 1/9 (* (log N) (log N)))) (- (log (cbrt N))) (* (- (log (+ N 1.0)) (* 3 (log (cbrt N)))) (+ (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (- (log (+ N 1.0)) (* (log N) 1/3)) (+ (sqrt (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (sqrt (log (cbrt N)))) (- (sqrt (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (sqrt (log (cbrt N)))) (- (log (+ N 1.0)) (* 1 (log N))) (- (log (+ N 1.0)) (* 1 (log N))) (- (- (log (+ N 1.0)) (log (cbrt (* (cbrt N) (cbrt N))))) (* 2/3 (log N))) (- (- (log (+ N 1.0)) (log (cbrt (sqrt N)))) (* 2/3 (log N))) (- (log (+ N 1.0)) (* 2/3 (log N))) (- (- (log (+ N 1.0)) (* 2/3 (log N))) (* 2 (log (cbrt (cbrt N))))) (- (- (log (+ N 1.0)) (log (sqrt (cbrt N)))) (* 2/3 (log N))) (- (log (+ N 1.0)) (* 2/3 (log N))) (log (/ 1 N)) (- (log (cbrt (+ N 1.0))) (* 3 (log (cbrt N)))) (- (log (sqrt (+ N 1.0))) (* 3 (log (cbrt N)))) (- (log (+ N 1.0)) (* 1 (log N))) (- (log (+ N 1.0)) (* 1 (log N))) (log (/ 1 N)) (log N) (- (log (cbrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (pow N 1/3)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (pow N 1/3)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (- (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (log N) (* N 1.0))) (- (- (/ 1.0 N) (log N)) (- (/ (/ 0.5 N) N) (log N))) (- (+ (/ 1.0 N) (- (log -1) (+ (log (/ -1 N)) (* 3 (log (* (pow (* -1 N) 1/3) (cbrt -1))))))) (/ (/ 0.5 N) 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) (- (log -1) (log (/ -1 N)))) (/ (/ 0.5 N) N)) (pow N 1/3) (pow N 1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow N 1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) 1.965 * * * [progress]: adding candidates to table 2.176 * [progress]: [Phase 3 of 3] Extracting. 2.176 * * [regime]: Finding splitpoints for: (# # # #) 2.177 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.177 * * * * [regimes]: Trying to branch on N from (# # # #) 2.203 * * * [regime]: Found split indices: #