15.082 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.043 * * * [progress]: [2/2] Setting up program. 0.045 * [progress]: [Phase 2 of 3] Improving. 0.045 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.047 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.049 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.050 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.050 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.050 * * [progress]: iteration 1 / 4 0.050 * * * [progress]: picking best candidate 0.052 * * * * [pick]: Picked # 0.052 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.058 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.066 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.071 * * * [progress]: generating series expansions 0.071 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.071 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.071 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.072 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.072 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.072 * [taylor]: Taking taylor expansion of 1.0 in N 0.072 * [taylor]: Taking taylor expansion of (log N) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.073 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.073 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.073 * [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 0.091 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.091 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.091 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.091 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.091 * [taylor]: Taking taylor expansion of N in N 0.091 * [taylor]: Taking taylor expansion of 1.0 in N 0.092 * [taylor]: Taking taylor expansion of (log (/ 1 N)) 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 (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.093 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.093 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.093 * [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 0.128 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.128 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.128 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.128 * [taylor]: Taking taylor expansion of 1.0 in N 0.128 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.128 * [taylor]: Taking taylor expansion of N in N 0.129 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.129 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.129 * [taylor]: Taking taylor expansion of -1 in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.130 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.130 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.130 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.130 * [taylor]: Taking taylor expansion of 1.0 in N 0.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.130 * [taylor]: Taking taylor expansion of N in N 0.131 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.131 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.131 * [taylor]: Taking taylor expansion of -1 in N 0.131 * [taylor]: Taking taylor expansion of N in N 0.164 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.164 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.164 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.164 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.164 * [taylor]: Taking taylor expansion of 1.0 in N 0.164 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.164 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.164 * [taylor]: Taking taylor expansion of 1.0 in N 0.176 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.176 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [taylor]: Taking taylor expansion of 1.0 in N 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 0.189 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.189 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.189 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.189 * [taylor]: Taking taylor expansion of N in N 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 0.209 * * * [progress]: simplifying candidates 0.210 * [simplify]: Simplifying using # : (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ 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)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 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 : 277 enodes (cost 598 ) 0.219 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.236 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.329 * * [simplify]: iteration 3 : 5001 enodes (cost 343 ) 0.332 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (/ (+ 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)) (fma (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N)) (* (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)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 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))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) 0.332 * * * [progress]: adding candidates to table 0.453 * * [progress]: iteration 2 / 4 0.453 * * * [progress]: picking best candidate 0.459 * * * * [pick]: Picked # 0.459 * * * [progress]: localizing error 0.475 * * * [progress]: generating rewritten candidates 0.475 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.494 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 0.497 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.503 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.522 * * * [progress]: generating series expansions 0.522 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.522 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in (N) around 0 0.523 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 0.523 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 0.523 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.523 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.523 * [taylor]: Taking taylor expansion of N in N 0.523 * [taylor]: Taking taylor expansion of 1.0 in N 0.524 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 0.524 * [taylor]: Taking taylor expansion of (log N) in N 0.524 * [taylor]: Taking taylor expansion of N in N 0.524 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 0.524 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 0.524 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.524 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.524 * [taylor]: Taking taylor expansion of N in N 0.524 * [taylor]: Taking taylor expansion of 1.0 in N 0.525 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 0.525 * [taylor]: Taking taylor expansion of (log N) in N 0.525 * [taylor]: Taking taylor expansion of N in N 0.574 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in (N) around 0 0.574 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 0.575 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 0.575 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.575 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.575 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.575 * [taylor]: Taking taylor expansion of N in N 0.575 * [taylor]: Taking taylor expansion of 1.0 in N 0.582 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 0.582 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.582 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.582 * [taylor]: Taking taylor expansion of N in N 0.583 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 0.583 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 0.583 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.583 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.583 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.583 * [taylor]: Taking taylor expansion of N in N 0.583 * [taylor]: Taking taylor expansion of 1.0 in N 0.584 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 0.584 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.584 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.584 * [taylor]: Taking taylor expansion of N in N 0.624 * [approximate]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in (N) around 0 0.624 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 0.625 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 0.625 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.625 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.625 * [taylor]: Taking taylor expansion of 1.0 in N 0.625 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.625 * [taylor]: Taking taylor expansion of N in N 0.626 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 0.626 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.626 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.626 * [taylor]: Taking taylor expansion of -1 in N 0.626 * [taylor]: Taking taylor expansion of N in N 0.627 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 0.627 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 0.627 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.627 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.627 * [taylor]: Taking taylor expansion of 1.0 in N 0.627 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.627 * [taylor]: Taking taylor expansion of N in N 0.629 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 0.629 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.629 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.629 * [taylor]: Taking taylor expansion of -1 in N 0.629 * [taylor]: Taking taylor expansion of N in N 0.712 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 0.712 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.712 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.712 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.712 * [taylor]: Taking taylor expansion of N in N 0.712 * [taylor]: Taking taylor expansion of 1.0 in N 0.713 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.713 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.713 * [taylor]: Taking taylor expansion of N in N 0.713 * [taylor]: Taking taylor expansion of 1.0 in N 0.724 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.724 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.724 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.724 * [taylor]: Taking taylor expansion of N in N 0.724 * [taylor]: Taking taylor expansion of 1.0 in N 0.724 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.725 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.725 * [taylor]: Taking taylor expansion of N in N 0.725 * [taylor]: Taking taylor expansion of 1.0 in N 0.737 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.737 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.737 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.737 * [taylor]: Taking taylor expansion of 1.0 in N 0.737 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.737 * [taylor]: Taking taylor expansion of N in N 0.738 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.738 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.738 * [taylor]: Taking taylor expansion of 1.0 in N 0.738 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.738 * [taylor]: Taking taylor expansion of N in N 0.757 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.757 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.757 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.757 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.757 * [taylor]: Taking taylor expansion of N in N 0.757 * [taylor]: Taking taylor expansion of 1.0 in N 0.758 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.758 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.758 * [taylor]: Taking taylor expansion of N in N 0.758 * [taylor]: Taking taylor expansion of 1.0 in N 0.769 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.769 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.769 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.769 * [taylor]: Taking taylor expansion of N in N 0.769 * [taylor]: Taking taylor expansion of 1.0 in N 0.770 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.770 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.770 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.770 * [taylor]: Taking taylor expansion of N in N 0.770 * [taylor]: Taking taylor expansion of 1.0 in N 0.783 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.783 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.783 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.783 * [taylor]: Taking taylor expansion of 1.0 in N 0.783 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.783 * [taylor]: Taking taylor expansion of N in N 0.784 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.784 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.784 * [taylor]: Taking taylor expansion of 1.0 in N 0.784 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.784 * [taylor]: Taking taylor expansion of N in N 0.798 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.798 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.798 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.798 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.798 * [taylor]: Taking taylor expansion of N in N 0.798 * [taylor]: Taking taylor expansion of 1.0 in N 0.798 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.799 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.799 * [taylor]: Taking taylor expansion of N in N 0.799 * [taylor]: Taking taylor expansion of 1.0 in N 0.810 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.810 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.810 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.810 * [taylor]: Taking taylor expansion of N in N 0.810 * [taylor]: Taking taylor expansion of 1.0 in N 0.811 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.811 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.811 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.811 * [taylor]: Taking taylor expansion of N in N 0.811 * [taylor]: Taking taylor expansion of 1.0 in N 0.823 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.823 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.823 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.823 * [taylor]: Taking taylor expansion of 1.0 in N 0.823 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.823 * [taylor]: Taking taylor expansion of N in N 0.824 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.824 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.824 * [taylor]: Taking taylor expansion of 1.0 in N 0.824 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.824 * [taylor]: Taking taylor expansion of N in N 0.844 * * * [progress]: simplifying candidates 0.850 * [simplify]: Simplifying using # : (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (log N) (* (log N) (log N))))) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (* (log N) (log N)) (log N)))) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) 1))) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) (/ 3 2)) (pow (log N) (/ 3 2))))) (fma (- (pow (log N) (/ 3 2))) (pow (log N) (/ 3 2)) (* (pow (log N) (/ 3 2)) (pow (log N) (/ 3 2)))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (log N) (* (log N) (log N))))) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (* (log N) (log N)) (log N)))) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) 1))) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (log N) (/ 3 2)) (pow (log N) (/ 3 2))))) (fma (- (pow (log N) (/ 3 2))) (pow (log N) (/ 3 2)) (* (pow (log N) (/ 3 2)) (pow (log N) (/ 3 2)))) (fma (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) (fma (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) (fma (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (- (* (log N) (* (log N) (log N))))) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) (fma (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) (fma (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) (fma (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) (fma (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (- (* (* (log N) (log N)) (log N)))) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) (fma (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) (fma (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) 1))) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) (fma (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (- (* (pow (log N) (/ 3 2)) (pow (log N) (/ 3 2))))) (fma (- (pow (log N) (/ 3 2))) (pow (log N) (/ 3 2)) (* (pow (log N) (/ 3 2)) (pow (log N) (/ 3 2)))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (log N) (* (log N) (log N))))) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (* (log N) (log N)) (log N)))) (fma (- (* 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(pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (expm1 (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (log1p (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow 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3)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (- (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (log N) 3/2)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (log N) 3/2)) (+ (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (+ (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (+ (pow (log (+ N 1.0)) 3/2) (sqrt (pow (log N) 3))) (- (pow (log (+ N 1.0)) 3/2) (sqrt (pow (log N) 3))) (+ (pow (log (+ N 1.0)) 3/2) (pow (log N) 3/2)) (- (pow (log (+ N 1.0)) 3/2) (pow (log N) 3/2)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow 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N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 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))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 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))) (fma (* 3.0 (pow N 2)) (log 1.0) (- (fma 3.0 (* N (pow (log 1.0) 2)) (pow (log 1.0) 3)) (fma 3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2)) (pow (log N) 3)))) (fma 1.0 (/ 1 (pow N 3)) (- (fma 3.0 (/ (pow (log (/ 1 N)) 2) N) (fma 1.0 (/ (pow (log (/ 1 N)) 2) (pow N 3)) (* 3.0 (/ (log (/ 1 N)) (pow N 3))))) (fma 1.5 (/ (pow (log (/ 1 N)) 2) (pow N 2)) (* 3.0 (/ (log (/ 1 N)) (pow N 2)))))) (fma 3.0 (/ (pow (log -1) 2) N) (- (fma 3.0 (/ (log (/ -1 N)) (pow N 3)) (fma 1.0 (/ (pow (log -1) 2) (pow N 3)) (fma 3.0 (/ (pow (log (/ -1 N)) 2) N) (fma 1.0 (/ 1 (pow N 3)) (fma 3.0 (/ (* (log -1) (log (/ -1 N))) (pow N 2)) (fma 1.0 (/ (pow (log (/ -1 N)) 2) (pow N 3)) (* 3.0 (/ (log -1) (pow N 2))))))))) (fma 2.0 (/ (* (log -1) (log (/ -1 N))) (pow N 3)) (fma 1.5 (/ (pow (log -1) 2) (pow N 2)) (fma 3.0 (/ (log -1) (pow N 3)) (fma 6.0 (/ (* (log -1) (log (/ -1 N))) N) (fma 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2)) (* 3.0 (/ (log (/ -1 N)) (pow N 2)))))))))) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma 1.0 (/ 1 N) (- (fma 0.5 (/ 1 (pow N 2)) (log (/ 1 N))))) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma 1.0 (/ 1 N) (- (fma 0.5 (/ 1 (pow N 2)) (log (/ 1 N))))) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma 1.0 (/ 1 N) (- (fma 0.5 (/ 1 (pow N 2)) (log (/ 1 N))))) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) 0.964 * * * [progress]: adding candidates to table 1.322 * * [progress]: iteration 3 / 4 1.322 * * * [progress]: picking best candidate 1.335 * * * * [pick]: Picked # 1.336 * * * [progress]: localizing error 1.340 * * * [progress]: generating rewritten candidates 1.340 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.345 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.353 * * * [progress]: generating series expansions 1.353 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.353 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.353 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.353 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.353 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.353 * [taylor]: Taking taylor expansion of N in N 1.353 * [taylor]: Taking taylor expansion of 1.0 in N 1.353 * [taylor]: Taking taylor expansion of N in N 1.354 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.354 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.354 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.354 * [taylor]: Taking taylor expansion of N in N 1.354 * [taylor]: Taking taylor expansion of 1.0 in N 1.354 * [taylor]: Taking taylor expansion of N in N 1.372 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.372 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.372 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.372 * [taylor]: Taking taylor expansion of N 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 1.374 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.374 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.374 * [taylor]: Taking taylor expansion of N 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 1.400 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.400 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.400 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.400 * [taylor]: Taking taylor expansion of -1 in N 1.400 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.400 * [taylor]: Taking taylor expansion of N in N 1.400 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.400 * [taylor]: Taking taylor expansion of 1.0 in N 1.400 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.400 * [taylor]: Taking taylor expansion of N in N 1.403 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.403 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.404 * [taylor]: Taking taylor expansion of -1 in N 1.404 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.404 * [taylor]: Taking taylor expansion of N in N 1.404 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.404 * [taylor]: Taking taylor expansion of 1.0 in N 1.404 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.404 * [taylor]: Taking taylor expansion of N in N 1.436 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.436 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 1.436 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.436 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.436 * [taylor]: Taking taylor expansion of N in N 1.436 * [taylor]: Taking taylor expansion of 1.0 in N 1.436 * [taylor]: Taking taylor expansion of N in N 1.436 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.436 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.436 * [taylor]: Taking taylor expansion of N in N 1.436 * [taylor]: Taking taylor expansion of 1.0 in N 1.436 * [taylor]: Taking taylor expansion of N in N 1.449 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 1.449 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.449 * [taylor]: Taking taylor expansion of N in N 1.449 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.449 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.449 * [taylor]: Taking taylor expansion of N in N 1.450 * [taylor]: Taking taylor expansion of 1.0 in N 1.450 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.450 * [taylor]: Taking taylor expansion of N 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 1.464 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 1.464 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.464 * [taylor]: Taking taylor expansion of -1 in N 1.464 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.464 * [taylor]: Taking taylor expansion of 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 1.464 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.464 * [taylor]: Taking taylor expansion of -1 in N 1.464 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.464 * [taylor]: Taking taylor expansion of 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 1.488 * * * [progress]: simplifying candidates 1.489 * [simplify]: Simplifying using # : (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (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))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ 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) 1.493 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 1.498 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 1.513 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 1.592 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 1.595 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (* 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))) (fma 2 (log (cbrt (+ N 1.0))) (log (/ 1 (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))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ 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)) (fma N (* 1.0 (- 1.0 N)) (pow N 3)) (* N (- N 1.0)) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) 1.595 * * * [progress]: adding candidates to table 1.715 * * [progress]: iteration 4 / 4 1.715 * * * [progress]: picking best candidate 1.733 * * * * [pick]: Picked # 1.733 * * * [progress]: localizing error 1.747 * * * [progress]: generating rewritten candidates 1.747 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.766 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.767 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2) 1.768 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 1.774 * * * [progress]: generating series expansions 1.774 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.775 * [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 1.775 * [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 1.775 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) in N 1.775 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0))) in N 1.775 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.775 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.775 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.775 * [taylor]: Taking taylor expansion of 1/3 in N 1.775 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.775 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.775 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.775 * [taylor]: Taking taylor expansion of N in N 1.777 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.777 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.777 * [taylor]: Taking taylor expansion of N in N 1.777 * [taylor]: Taking taylor expansion of 1.0 in N 1.779 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) in N 1.779 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))) in N 1.779 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.779 * [taylor]: Taking taylor expansion of 1/3 in N 1.779 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.779 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.779 * [taylor]: Taking taylor expansion of N in N 1.780 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.780 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.780 * [taylor]: Taking taylor expansion of N in N 1.780 * [taylor]: Taking taylor expansion of 1.0 in N 1.783 * [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 1.783 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) in N 1.783 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0))) in N 1.783 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.783 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.783 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.783 * [taylor]: Taking taylor expansion of 1/3 in N 1.783 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.783 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.783 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.783 * [taylor]: Taking taylor expansion of N in N 1.784 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.784 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.784 * [taylor]: Taking taylor expansion of N in N 1.784 * [taylor]: Taking taylor expansion of 1.0 in N 1.787 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) in N 1.787 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))) in N 1.787 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.787 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.787 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.787 * [taylor]: Taking taylor expansion of 1/3 in N 1.787 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.787 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.787 * [taylor]: Taking taylor expansion of N in N 1.788 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.788 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.788 * [taylor]: Taking taylor expansion of N in N 1.788 * [taylor]: Taking taylor expansion of 1.0 in N 1.844 * [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 1.844 * [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 1.844 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 1.844 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 1.844 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.844 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.844 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.844 * [taylor]: Taking taylor expansion of 1/3 in N 1.844 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.844 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.844 * [taylor]: Taking taylor expansion of N in N 1.845 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.845 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.845 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.845 * [taylor]: Taking taylor expansion of N in N 1.846 * [taylor]: Taking taylor expansion of 1.0 in N 1.850 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 1.850 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 1.850 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.850 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.850 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.850 * [taylor]: Taking taylor expansion of 1/3 in N 1.850 * [taylor]: Taking taylor expansion of (log N) in N 1.850 * [taylor]: Taking taylor expansion of N in N 1.851 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.851 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.851 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.851 * [taylor]: Taking taylor expansion of N in N 1.851 * [taylor]: Taking taylor expansion of 1.0 in N 1.854 * [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 1.854 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 1.855 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 1.855 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.855 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.855 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.855 * [taylor]: Taking taylor expansion of 1/3 in N 1.855 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.855 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.855 * [taylor]: Taking taylor expansion of N in N 1.855 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.855 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.856 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.856 * [taylor]: Taking taylor expansion of N in N 1.856 * [taylor]: Taking taylor expansion of 1.0 in N 1.860 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 1.860 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 1.860 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.860 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.860 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.860 * [taylor]: Taking taylor expansion of 1/3 in N 1.860 * [taylor]: Taking taylor expansion of (log N) in N 1.860 * [taylor]: Taking taylor expansion of N in N 1.860 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.860 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.860 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.860 * [taylor]: Taking taylor expansion of N in N 1.861 * [taylor]: Taking taylor expansion of 1.0 in N 1.898 * [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 1.898 * [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 1.898 * [taylor]: Taking taylor expansion of (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 1.898 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 1.898 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 1.898 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.898 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.898 * [taylor]: Taking taylor expansion of -1 in N 1.901 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 1.901 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.901 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.901 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.901 * [taylor]: Taking taylor expansion of 1/3 in N 1.901 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.901 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.901 * [taylor]: Taking taylor expansion of N in N 1.907 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.907 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.908 * [taylor]: Taking taylor expansion of 1.0 in N 1.908 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.908 * [taylor]: Taking taylor expansion of N in N 1.916 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 1.917 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 1.917 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 1.917 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.917 * [taylor]: Taking taylor expansion of -1 in N 1.918 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 1.918 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.918 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.918 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.918 * [taylor]: Taking taylor expansion of 1/3 in N 1.918 * [taylor]: Taking taylor expansion of (log N) in N 1.918 * [taylor]: Taking taylor expansion of N in N 1.919 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.919 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.919 * [taylor]: Taking taylor expansion of 1.0 in N 1.919 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.919 * [taylor]: Taking taylor expansion of N in N 1.925 * [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 1.925 * [taylor]: Taking taylor expansion of (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 1.925 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 1.925 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 1.925 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.925 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.925 * [taylor]: Taking taylor expansion of -1 in N 1.928 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 1.928 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.928 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.928 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.928 * [taylor]: Taking taylor expansion of 1/3 in N 1.928 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.928 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.928 * [taylor]: Taking taylor expansion of N in N 1.929 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.929 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.929 * [taylor]: Taking taylor expansion of 1.0 in N 1.929 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.929 * [taylor]: Taking taylor expansion of N in N 1.938 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 1.938 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 1.938 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 1.938 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.938 * [taylor]: Taking taylor expansion of -1 in N 1.939 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 1.939 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.939 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.939 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.939 * [taylor]: Taking taylor expansion of 1/3 in N 1.939 * [taylor]: Taking taylor expansion of (log N) in N 1.939 * [taylor]: Taking taylor expansion of N in N 1.940 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.940 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.940 * [taylor]: Taking taylor expansion of 1.0 in N 1.940 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.940 * [taylor]: Taking taylor expansion of N in N 2.021 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 2.021 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 2.021 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.021 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.021 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.021 * [taylor]: Taking taylor expansion of 1/3 in N 2.021 * [taylor]: Taking taylor expansion of (log N) in N 2.021 * [taylor]: Taking taylor expansion of N in N 2.022 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.022 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.022 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.022 * [taylor]: Taking taylor expansion of 1/3 in N 2.022 * [taylor]: Taking taylor expansion of (log N) in N 2.022 * [taylor]: Taking taylor expansion of N in N 2.070 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 2.070 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.070 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.070 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.070 * [taylor]: Taking taylor expansion of 1/3 in N 2.070 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.070 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.070 * [taylor]: Taking taylor expansion of N in N 2.071 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.071 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.071 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.071 * [taylor]: Taking taylor expansion of 1/3 in N 2.071 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.071 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.071 * [taylor]: Taking taylor expansion of N in N 2.130 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 2.130 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.130 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.130 * [taylor]: Taking taylor expansion of -1 in N 2.131 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.131 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.131 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.131 * [taylor]: Taking taylor expansion of 1/3 in N 2.131 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.131 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.131 * [taylor]: Taking taylor expansion of N in N 2.132 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.132 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.132 * [taylor]: Taking taylor expansion of -1 in N 2.133 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.133 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.133 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.133 * [taylor]: Taking taylor expansion of 1/3 in N 2.133 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.133 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.133 * [taylor]: Taking taylor expansion of N in N 2.203 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2) 2.203 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 2.203 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.203 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.203 * [taylor]: Taking taylor expansion of 1/3 in N 2.204 * [taylor]: Taking taylor expansion of (log N) in N 2.204 * [taylor]: Taking taylor expansion of N in N 2.204 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.204 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.204 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.204 * [taylor]: Taking taylor expansion of 1/3 in N 2.204 * [taylor]: Taking taylor expansion of (log N) in N 2.204 * [taylor]: Taking taylor expansion of N in N 2.260 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 2.260 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.260 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.260 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.260 * [taylor]: Taking taylor expansion of 1/3 in N 2.260 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.260 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.260 * [taylor]: Taking taylor expansion of N in N 2.261 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.261 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.261 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.261 * [taylor]: Taking taylor expansion of 1/3 in N 2.261 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.261 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.261 * [taylor]: Taking taylor expansion of N in N 2.320 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 2.320 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.320 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.320 * [taylor]: Taking taylor expansion of -1 in N 2.321 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.321 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.321 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.321 * [taylor]: Taking taylor expansion of 1/3 in N 2.321 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.321 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.321 * [taylor]: Taking taylor expansion of N in N 2.322 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.322 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.322 * [taylor]: Taking taylor expansion of -1 in N 2.323 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.323 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.323 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.323 * [taylor]: Taking taylor expansion of 1/3 in N 2.323 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.323 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.323 * [taylor]: Taking taylor expansion of N in N 2.386 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 2.386 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 2.386 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.386 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.387 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.387 * [taylor]: Taking taylor expansion of 1/3 in N 2.387 * [taylor]: Taking taylor expansion of (log N) in N 2.387 * [taylor]: Taking taylor expansion of N in N 2.387 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.387 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.387 * [taylor]: Taking taylor expansion of 1/3 in N 2.387 * [taylor]: Taking taylor expansion of (log N) in N 2.387 * [taylor]: Taking taylor expansion of N in N 2.442 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 2.442 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.442 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.442 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.442 * [taylor]: Taking taylor expansion of 1/3 in N 2.442 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.442 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.442 * [taylor]: Taking taylor expansion of N in N 2.443 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.443 * [taylor]: Taking taylor expansion of 1/3 in N 2.444 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.444 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.444 * [taylor]: Taking taylor expansion of N in N 2.503 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 2.503 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.503 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.503 * [taylor]: Taking taylor expansion of -1 in N 2.504 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.504 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.504 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.504 * [taylor]: Taking taylor expansion of 1/3 in N 2.504 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.504 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.504 * [taylor]: Taking taylor expansion of N in N 2.505 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.505 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.505 * [taylor]: Taking taylor expansion of -1 in N 2.505 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.505 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.505 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.506 * [taylor]: Taking taylor expansion of 1/3 in N 2.506 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.506 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.506 * [taylor]: Taking taylor expansion of N in N 2.574 * * * [progress]: simplifying candidates 2.576 * [simplify]: Simplifying using # : (expm1 (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (log1p (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (* (/ (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 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