12.653 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.030 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.030 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.031 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.032 * * [simplify]: iteration done : 10 enodes (cost 7 ) 0.032 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.046 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.047 * * * [progress]: generating series expansions 0.047 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.047 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.047 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.047 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.048 * [taylor]: Taking taylor expansion of (atan N) in N 0.048 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.048 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.048 * [taylor]: Taking taylor expansion of (atan N) in N 0.052 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.052 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.052 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.055 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.055 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.059 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.059 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.059 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.059 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.059 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.059 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.059 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.059 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.059 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.060 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.060 * * * [progress]: simplifying candidates 0.060 * [simplify]: Simplifying using # : (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.062 * * [simplify]: iteration 0 : 40 enodes (cost 271 ) 0.068 * * [simplify]: iteration 1 : 76 enodes (cost 259 ) 0.079 * * [simplify]: iteration 2 : 144 enodes (cost 245 ) 0.106 * * [simplify]: iteration 3 : 238 enodes (cost 241 ) 0.149 * * [simplify]: iteration 4 : 457 enodes (cost 239 ) 0.277 * * [simplify]: iteration 5 : 1155 enodes (cost 239 ) 1.069 * * [simplify]: iteration 6 : 4316 enodes (cost 239 ) 2.548 * * [simplify]: iteration done : 5000 enodes (cost 239 ) 2.548 * [simplify]: Simplified to: 1.0 (+ 1 (* (+ N 1.0) N)) (exp (- (atan (+ N 1.0)) (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (pow (- (atan (+ N 1.0)) (atan N)) 3) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (+ (atan (+ N 1.0)) (atan N))) (* (atan N) (atan N))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (pow (atan (+ N 1.0)) 3) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 2.549 * * * [progress]: adding candidates to table 2.599 * * [progress]: iteration 2 / 4 2.600 * * * [progress]: picking best candidate 2.601 * * * * [pick]: Picked # 2.601 * * * [progress]: localizing error 2.606 * * * [progress]: generating rewritten candidates 2.606 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.607 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 2.617 * * * [progress]: generating series expansions 2.617 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.618 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 2.618 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 2.618 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 2.618 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 2.618 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 2.618 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 2.619 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 2.619 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.619 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.620 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 2.620 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 2.620 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.620 * [taylor]: Taking taylor expansion of N in N 2.620 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.620 * [taylor]: Taking taylor expansion of N in N 2.620 * [taylor]: Taking taylor expansion of 1.0 in N 2.620 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.620 * [taylor]: Taking taylor expansion of N in N 2.620 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.620 * [taylor]: Taking taylor expansion of N in N 2.620 * [taylor]: Taking taylor expansion of 1.0 in N 2.633 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 2.634 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.634 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.634 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.634 * [taylor]: Taking taylor expansion of N in N 2.634 * [taylor]: Taking taylor expansion of 1.0 in N 2.634 * [taylor]: Taking taylor expansion of N in N 2.634 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.634 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.634 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.634 * [taylor]: Taking taylor expansion of N in N 2.635 * [taylor]: Taking taylor expansion of 1.0 in N 2.635 * [taylor]: Taking taylor expansion of N in N 2.646 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 2.646 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.646 * [taylor]: Taking taylor expansion of -1 in N 2.646 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.646 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.646 * [taylor]: Taking taylor expansion of 1.0 in N 2.646 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.646 * [taylor]: Taking taylor expansion of N in N 2.646 * [taylor]: Taking taylor expansion of N in N 2.647 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.647 * [taylor]: Taking taylor expansion of -1 in N 2.647 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.647 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.647 * [taylor]: Taking taylor expansion of 1.0 in N 2.647 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.647 * [taylor]: Taking taylor expansion of N in N 2.648 * [taylor]: Taking taylor expansion of N in N 2.667 * * * [progress]: simplifying candidates 2.668 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ 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)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (* (+ N 1.0) 1) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) 2.670 * * [simplify]: iteration 0 : 55 enodes (cost 317 ) 2.679 * * [simplify]: iteration 1 : 120 enodes (cost 312 ) 2.711 * * [simplify]: iteration 2 : 347 enodes (cost 264 ) 2.948 * * [simplify]: iteration 3 : 1178 enodes (cost 264 ) 4.505 * * [simplify]: iteration 4 : 3491 enodes (cost 264 ) 5.862 * * [simplify]: iteration done : 5000 enodes (cost 264 ) 5.862 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* N (+ N 1.0)) (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)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (+ 1.0 N) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* N (+ N 1.0)) (* N (+ N 1.0)) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (* N (+ N 1.0)) (* N (+ N 1.0)) (* N (+ N 1.0)) 5.863 * * * [progress]: adding candidates to table 5.925 * * [progress]: iteration 3 / 4 5.925 * * * [progress]: picking best candidate 5.934 * * * * [pick]: Picked # 5.934 * * * [progress]: localizing error 5.943 * * * [progress]: generating rewritten candidates 5.943 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 5.963 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 5.965 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 5.968 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 5.973 * * * [progress]: generating series expansions 5.973 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 5.973 * [approximate]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in (N) around 0 5.973 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 5.973 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 5.973 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 5.973 * [taylor]: Taking taylor expansion of 1/3 in N 5.973 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 5.973 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 5.973 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.973 * [taylor]: Taking taylor expansion of N in N 5.973 * [taylor]: Taking taylor expansion of 1.0 in N 5.976 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 5.976 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 5.976 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 5.976 * [taylor]: Taking taylor expansion of 1/3 in N 5.976 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 5.976 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 5.976 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.976 * [taylor]: Taking taylor expansion of N in N 5.976 * [taylor]: Taking taylor expansion of 1.0 in N 6.021 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in (N) around 0 6.021 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 6.021 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 6.021 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 6.021 * [taylor]: Taking taylor expansion of 1/3 in N 6.021 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 6.021 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 6.021 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.021 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.021 * [taylor]: Taking taylor expansion of N in N 6.021 * [taylor]: Taking taylor expansion of 1.0 in N 6.023 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 6.023 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 6.023 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 6.023 * [taylor]: Taking taylor expansion of 1/3 in N 6.023 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 6.023 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 6.023 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.023 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.023 * [taylor]: Taking taylor expansion of N in N 6.023 * [taylor]: Taking taylor expansion of 1.0 in N 6.047 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in (N) around 0 6.047 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 6.047 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 6.047 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 6.047 * [taylor]: Taking taylor expansion of 1/3 in N 6.047 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 6.047 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 6.047 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.047 * [taylor]: Taking taylor expansion of 1.0 in N 6.047 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.047 * [taylor]: Taking taylor expansion of N in N 6.048 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 6.049 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 6.049 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 6.049 * [taylor]: Taking taylor expansion of 1/3 in N 6.049 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 6.049 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 6.049 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.049 * [taylor]: Taking taylor expansion of 1.0 in N 6.049 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.049 * [taylor]: Taking taylor expansion of N in N 6.078 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 6.079 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 6.079 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 6.079 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 6.079 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 6.079 * [taylor]: Taking taylor expansion of 1/3 in N 6.079 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.079 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.079 * [taylor]: Taking taylor expansion of N in N 6.079 * [taylor]: Taking taylor expansion of 1.0 in N 6.081 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 6.081 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 6.081 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 6.081 * [taylor]: Taking taylor expansion of 1/3 in N 6.081 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.081 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.081 * [taylor]: Taking taylor expansion of N in N 6.081 * [taylor]: Taking taylor expansion of 1.0 in N 6.115 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 6.115 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 6.115 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 6.115 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 6.115 * [taylor]: Taking taylor expansion of 1/3 in N 6.115 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.115 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.115 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.115 * [taylor]: Taking taylor expansion of N in N 6.115 * [taylor]: Taking taylor expansion of 1.0 in N 6.116 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 6.116 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 6.116 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 6.116 * [taylor]: Taking taylor expansion of 1/3 in N 6.116 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.116 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.116 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.116 * [taylor]: Taking taylor expansion of N in N 6.116 * [taylor]: Taking taylor expansion of 1.0 in N 6.135 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 6.135 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 6.135 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 6.135 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 6.135 * [taylor]: Taking taylor expansion of 1/3 in N 6.135 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.135 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.135 * [taylor]: Taking taylor expansion of 1.0 in N 6.135 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.135 * [taylor]: Taking taylor expansion of N in N 6.137 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 6.137 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 6.137 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 6.137 * [taylor]: Taking taylor expansion of 1/3 in N 6.137 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.137 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.138 * [taylor]: Taking taylor expansion of 1.0 in N 6.138 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.138 * [taylor]: Taking taylor expansion of N in N 6.165 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 6.165 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 6.165 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 6.165 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 6.165 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 6.165 * [taylor]: Taking taylor expansion of 1/3 in N 6.165 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.165 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.165 * [taylor]: Taking taylor expansion of N in N 6.165 * [taylor]: Taking taylor expansion of 1.0 in N 6.167 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 6.167 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 6.167 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 6.167 * [taylor]: Taking taylor expansion of 1/3 in N 6.167 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.167 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.167 * [taylor]: Taking taylor expansion of N in N 6.167 * [taylor]: Taking taylor expansion of 1.0 in N 6.201 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 6.201 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 6.201 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 6.201 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 6.201 * [taylor]: Taking taylor expansion of 1/3 in N 6.201 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.201 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.201 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.201 * [taylor]: Taking taylor expansion of N in N 6.201 * [taylor]: Taking taylor expansion of 1.0 in N 6.202 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 6.202 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 6.202 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 6.202 * [taylor]: Taking taylor expansion of 1/3 in N 6.202 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.202 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.202 * [taylor]: Taking taylor expansion of N in N 6.203 * [taylor]: Taking taylor expansion of 1.0 in N 6.221 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 6.221 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 6.221 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 6.221 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 6.221 * [taylor]: Taking taylor expansion of 1/3 in N 6.221 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.222 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.222 * [taylor]: Taking taylor expansion of 1.0 in N 6.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.222 * [taylor]: Taking taylor expansion of N in N 6.224 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 6.224 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 6.224 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 6.224 * [taylor]: Taking taylor expansion of 1/3 in N 6.224 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.224 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.224 * [taylor]: Taking taylor expansion of 1.0 in N 6.224 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.224 * [taylor]: Taking taylor expansion of N in N 6.252 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 6.252 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 6.252 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 6.252 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 6.252 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 6.252 * [taylor]: Taking taylor expansion of 1/3 in N 6.252 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.252 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.252 * [taylor]: Taking taylor expansion of N in N 6.252 * [taylor]: Taking taylor expansion of 1.0 in N 6.254 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 6.254 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 6.254 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 6.255 * [taylor]: Taking taylor expansion of 1/3 in N 6.255 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.255 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.255 * [taylor]: Taking taylor expansion of N in N 6.255 * [taylor]: Taking taylor expansion of 1.0 in N 6.289 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 6.289 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 6.289 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 6.289 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 6.289 * [taylor]: Taking taylor expansion of 1/3 in N 6.289 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.289 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.289 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.289 * [taylor]: Taking taylor expansion of N in N 6.289 * [taylor]: Taking taylor expansion of 1.0 in N 6.290 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 6.290 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 6.290 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 6.290 * [taylor]: Taking taylor expansion of 1/3 in N 6.290 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.290 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.290 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.290 * [taylor]: Taking taylor expansion of N in N 6.290 * [taylor]: Taking taylor expansion of 1.0 in N 6.309 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 6.309 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 6.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 6.309 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 6.309 * [taylor]: Taking taylor expansion of 1/3 in N 6.309 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.309 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.309 * [taylor]: Taking taylor expansion of 1.0 in N 6.309 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.309 * [taylor]: Taking taylor expansion of N in N 6.311 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 6.311 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 6.311 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 6.311 * [taylor]: Taking taylor expansion of 1/3 in N 6.311 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.311 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.311 * [taylor]: Taking taylor expansion of 1.0 in N 6.311 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.311 * [taylor]: Taking taylor expansion of N in N 6.341 * * * [progress]: simplifying candidates 6.343 * [simplify]: Simplifying using # : (+ 1/3 1/3) (+ 1 1) (* (+ N 1.0) (+ N 1.0)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (+ 1 1) (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (exp (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (+ N 1.0) (+ N 1.0)) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* 1 1) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* 2 1/3) (* 2 1) (* (cbrt (+ N 1.0)) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (+ N 1.0)) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt 1)) (* (cbrt (+ N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (* (cbrt (+ N 1.0)) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) 1) (* (cbrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ N 1.0))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (- (+ (pow 1.0 1/3) (+ (* 0.6666666666666666 (* N (pow 1.0 1/3))) (* 0.5555555555555556 (* (pow N 2) (pow 1.0 1/3))))) (* 0.6666666666666666 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (pow (/ -1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 6.347 * * [simplify]: iteration 0 : 139 enodes (cost 1485 ) 6.376 * * [simplify]: iteration 1 : 307 enodes (cost 1358 ) 6.436 * * [simplify]: iteration 2 : 810 enodes (cost 1288 ) 6.724 * * [simplify]: iteration 3 : 2257 enodes (cost 1148 ) 7.369 * * [simplify]: iteration done : 5001 enodes (cost 1148 ) 7.370 * [simplify]: Simplified to: 2/3 2 (pow (cbrt (+ N 1.0)) 6) (pow (sqrt (cbrt (+ N 1.0))) 4) 2 (* 2 (log (cbrt (+ N 1.0)))) (* 2 (log (cbrt (+ N 1.0)))) (exp (pow (sqrt (cbrt (+ N 1.0))) 4)) (pow (cbrt (+ N 1.0)) 6) (* (cbrt (pow (sqrt (cbrt (+ N 1.0))) 4)) (cbrt (pow (sqrt (cbrt (+ N 1.0))) 4))) (cbrt (pow (sqrt (cbrt (+ N 1.0))) 4)) (pow (cbrt (+ N 1.0)) 6) (fabs (cbrt (+ N 1.0))) (fabs (cbrt (+ N 1.0))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ (* N N) (* 1.0 (- 1.0 N)))) (cbrt (+ (* N N) (* 1.0 (- 1.0 N))))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (* 1.0 (- 1.0 N))))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (* 1.0 (- 1.0 N))))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (pow (sqrt (cbrt (+ N 1.0))) 4)) (cbrt (pow (sqrt (cbrt (+ N 1.0))) 4))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) (pow (cbrt (cbrt (+ N 1.0))) 4) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (+ N 1.0)) (cbrt (+ N 1.0)) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt (+ N 1.0)) (cbrt (+ N 1.0)) 2/3 2 (* (cbrt (pow (sqrt (cbrt (+ N 1.0))) 4)) (cbrt (+ N 1.0))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)) (cbrt (+ N 1.0)) (* (pow (cbrt (cbrt (+ N 1.0))) 4) (cbrt (cbrt (+ N 1.0)))) (pow (sqrt (cbrt (+ N 1.0))) 3) (cbrt (+ N 1.0)) (pow (cbrt (cbrt (+ N 1.0))) 4) (* (cbrt (sqrt (+ N 1.0))) (cbrt (+ N 1.0))) (pow (sqrt (cbrt (+ N 1.0))) 4) (pow (sqrt (cbrt (+ N 1.0))) 4) (pow (cbrt (cbrt (+ N 1.0))) 4) (pow (sqrt (cbrt (+ N 1.0))) 3) (pow (sqrt (cbrt (+ N 1.0))) 4) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (pow (sqrt (cbrt (+ N 1.0))) 4)) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) 1 (cbrt (+ N 1.0)) 1 (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (* 1.0 (- 1.0 N)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (pow (sqrt (cbrt (+ N 1.0))) 4)) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) 1 (cbrt (+ N 1.0)) 1 (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (* 1.0 (- 1.0 N)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (pow (sqrt (cbrt (+ N 1.0))) 4)) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) 1 (cbrt (+ N 1.0)) 1 (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (* 1.0 (- 1.0 N)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (+ (- (cbrt 1.0) (* 0.6666666666666666 (* (cbrt (/ 1 (pow 1.0 5))) (* N N)))) (* (cbrt 1.0) (* N (+ (* 0.5555555555555556 N) 0.6666666666666666)))) (- (+ (* 0.6666666666666666 (cbrt (/ 1 N))) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))) (+ (pow (/ -1 N) -2/3) (- (* 0.6666666666666666 (cbrt (/ 1 N))) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4)))))) (+ (+ (* (cbrt 1.0) (* N (+ 0.3333333333333333 (* 0.05555555555555555 N)))) (cbrt 1.0)) (* (* (cbrt (/ 1 (pow 1.0 5))) (* N N)) -1/6)) (+ (pow (/ 1 N) -1/3) (- (* (cbrt (/ 1 (pow N 2))) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 5)))))) (+ (* (/ (cbrt (exp (+ (log N) 0))) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (cbrt (exp (+ (log N) 0)))) (+ (+ (* (cbrt 1.0) (* N (+ 0.3333333333333333 (* 0.05555555555555555 N)))) (cbrt 1.0)) (* (* (cbrt (/ 1 (pow 1.0 5))) (* N N)) -1/6)) (+ (pow (/ 1 N) -1/3) (- (* (cbrt (/ 1 (pow N 2))) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 5)))))) (+ (* (/ (cbrt (exp (+ (log N) 0))) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (cbrt (exp (+ (log N) 0)))) (+ (+ (* (cbrt 1.0) (* N (+ 0.3333333333333333 (* 0.05555555555555555 N)))) (cbrt 1.0)) (* (* (cbrt (/ 1 (pow 1.0 5))) (* N N)) -1/6)) (+ (pow (/ 1 N) -1/3) (- (* (cbrt (/ 1 (pow N 2))) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 5)))))) (+ (* (/ (cbrt (exp (+ (log N) 0))) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (cbrt (exp (+ (log N) 0)))) 7.371 * * * [progress]: adding candidates to table 7.617 * * [progress]: iteration 4 / 4 7.617 * * * [progress]: picking best candidate 7.627 * * * * [pick]: Picked # 7.627 * * * [progress]: localizing error 7.643 * * * [progress]: generating rewritten candidates 7.643 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1 1) 7.646 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 7.657 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 7.677 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 7.688 * * * [progress]: generating series expansions 7.688 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1 1) 7.689 * [approximate]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in (N) around 0 7.689 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N 7.689 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N 7.689 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N 7.689 * [taylor]: Taking taylor expansion of 1/3 in N 7.689 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N 7.689 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 7.689 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.689 * [taylor]: Taking taylor expansion of N in N 7.689 * [taylor]: Taking taylor expansion of 1.0 in N 7.693 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N 7.693 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N 7.693 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N 7.693 * [taylor]: Taking taylor expansion of 1/3 in N 7.693 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N 7.693 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 7.693 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.693 * [taylor]: Taking taylor expansion of N in N 7.693 * [taylor]: Taking taylor expansion of 1.0 in N 7.766 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0 7.766 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 7.766 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 7.766 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 7.766 * [taylor]: Taking taylor expansion of 1/3 in N 7.766 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 7.766 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 7.766 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.766 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.766 * [taylor]: Taking taylor expansion of N in N 7.767 * [taylor]: Taking taylor expansion of 1.0 in N 7.768 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 7.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 7.768 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 7.768 * [taylor]: Taking taylor expansion of 1/3 in N 7.768 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 7.768 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 7.768 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.768 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.768 * [taylor]: Taking taylor expansion of N in N 7.768 * [taylor]: Taking taylor expansion of 1.0 in N 7.816 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0 7.816 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 7.816 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 7.817 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 7.817 * [taylor]: Taking taylor expansion of 1/3 in N 7.817 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 7.817 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 7.817 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.817 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.817 * [taylor]: Taking taylor expansion of N in N 7.817 * [taylor]: Taking taylor expansion of 1.0 in N 7.818 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 7.818 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 7.818 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 7.818 * [taylor]: Taking taylor expansion of 1/3 in N 7.818 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 7.818 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 7.818 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.818 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.818 * [taylor]: Taking taylor expansion of N in N 7.819 * [taylor]: Taking taylor expansion of 1.0 in N 7.871 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 7.871 * [approximate]: Taking taylor expansion of (pow (/ (- (pow N 2) 1.0) (- N 1.0)) 1/3) in (N) around 0 7.871 * [taylor]: Taking taylor expansion of (pow (/ (- (pow N 2) 1.0) (- N 1.0)) 1/3) in N 7.872 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (pow N 2) 1.0) (- N 1.0))))) in N 7.872 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (pow N 2) 1.0) (- N 1.0)))) in N 7.872 * [taylor]: Taking taylor expansion of 1/3 in N 7.872 * [taylor]: Taking taylor expansion of (log (/ (- (pow N 2) 1.0) (- N 1.0))) in N 7.872 * [taylor]: Taking taylor expansion of (/ (- (pow N 2) 1.0) (- N 1.0)) in N 7.872 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 7.872 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.872 * [taylor]: Taking taylor expansion of N in N 7.872 * [taylor]: Taking taylor expansion of 1.0 in N 7.872 * [taylor]: Taking taylor expansion of (- N 1.0) in N 7.872 * [taylor]: Taking taylor expansion of N in N 7.872 * [taylor]: Taking taylor expansion of 1.0 in N 7.876 * [taylor]: Taking taylor expansion of (pow (/ (- (pow N 2) 1.0) (- N 1.0)) 1/3) in N 7.876 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (pow N 2) 1.0) (- N 1.0))))) in N 7.876 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (pow N 2) 1.0) (- N 1.0)))) in N 7.876 * [taylor]: Taking taylor expansion of 1/3 in N 7.876 * [taylor]: Taking taylor expansion of (log (/ (- (pow N 2) 1.0) (- N 1.0))) in N 7.876 * [taylor]: Taking taylor expansion of (/ (- (pow N 2) 1.0) (- N 1.0)) in N 7.876 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 7.876 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.876 * [taylor]: Taking taylor expansion of N in N 7.876 * [taylor]: Taking taylor expansion of 1.0 in N 7.876 * [taylor]: Taking taylor expansion of (- N 1.0) in N 7.876 * [taylor]: Taking taylor expansion of N in N 7.876 * [taylor]: Taking taylor expansion of 1.0 in N 7.909 * [approximate]: Taking taylor expansion of (pow (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)) 1/3) in (N) around 0 7.910 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)) 1/3) in N 7.910 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0))))) in N 7.910 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)))) in N 7.910 * [taylor]: Taking taylor expansion of 1/3 in N 7.910 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0))) in N 7.910 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)) in N 7.910 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 7.910 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.910 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.910 * [taylor]: Taking taylor expansion of N in N 7.910 * [taylor]: Taking taylor expansion of 1.0 in N 7.910 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1.0) in N 7.910 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.910 * [taylor]: Taking taylor expansion of N in N 7.911 * [taylor]: Taking taylor expansion of 1.0 in N 7.912 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)) 1/3) in N 7.912 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0))))) in N 7.912 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)))) in N 7.912 * [taylor]: Taking taylor expansion of 1/3 in N 7.912 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0))) in N 7.912 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)) in N 7.912 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 7.912 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.912 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.912 * [taylor]: Taking taylor expansion of N in N 7.913 * [taylor]: Taking taylor expansion of 1.0 in N 7.913 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1.0) in N 7.913 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.913 * [taylor]: Taking taylor expansion of N in N 7.913 * [taylor]: Taking taylor expansion of 1.0 in N 7.945 * [approximate]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 7.945 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) 1/3)) in N 7.945 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 7.946 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.946 * [taylor]: Taking taylor expansion of -1 in N 7.947 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) 1/3) in N 7.947 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0))))) in N 7.947 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)))) in N 7.947 * [taylor]: Taking taylor expansion of 1/3 in N 7.947 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0))) in N 7.947 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) in N 7.947 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 7.947 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.947 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.947 * [taylor]: Taking taylor expansion of N in N 7.948 * [taylor]: Taking taylor expansion of 1.0 in N 7.948 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.948 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.948 * [taylor]: Taking taylor expansion of N in N 7.948 * [taylor]: Taking taylor expansion of 1.0 in N 7.949 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) 1/3)) in N 7.949 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 7.949 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.949 * [taylor]: Taking taylor expansion of -1 in N 7.951 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) 1/3) in N 7.951 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0))))) in N 7.951 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)))) in N 7.951 * [taylor]: Taking taylor expansion of 1/3 in N 7.951 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0))) in N 7.951 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) in N 7.951 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 7.951 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.951 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.951 * [taylor]: Taking taylor expansion of N in N 7.951 * [taylor]: Taking taylor expansion of 1.0 in N 7.951 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.951 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.951 * [taylor]: Taking taylor expansion of N in N 7.952 * [taylor]: Taking taylor expansion of 1.0 in N 7.990 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 7.990 * [approximate]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in (N) around 0 7.990 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 7.990 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 7.990 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 7.990 * [taylor]: Taking taylor expansion of 1/3 in N 7.990 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 7.990 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 7.990 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.990 * [taylor]: Taking taylor expansion of N in N 7.990 * [taylor]: Taking taylor expansion of 1.0 in N 7.992 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 7.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 7.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 7.992 * [taylor]: Taking taylor expansion of 1/3 in N 7.992 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 7.992 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 7.993 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.993 * [taylor]: Taking taylor expansion of N in N 7.993 * [taylor]: Taking taylor expansion of 1.0 in N 8.038 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in (N) around 0 8.038 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 8.038 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 8.038 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 8.038 * [taylor]: Taking taylor expansion of 1/3 in N 8.038 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 8.038 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 8.038 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.038 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.038 * [taylor]: Taking taylor expansion of N in N 8.038 * [taylor]: Taking taylor expansion of 1.0 in N 8.039 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 8.039 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 8.039 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 8.039 * [taylor]: Taking taylor expansion of 1/3 in N 8.039 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 8.039 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 8.039 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.040 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.040 * [taylor]: Taking taylor expansion of N in N 8.040 * [taylor]: Taking taylor expansion of 1.0 in N 8.063 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in (N) around 0 8.063 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 8.063 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 8.063 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 8.063 * [taylor]: Taking taylor expansion of 1/3 in N 8.063 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 8.063 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 8.063 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.063 * [taylor]: Taking taylor expansion of 1.0 in N 8.063 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.063 * [taylor]: Taking taylor expansion of N in N 8.065 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 8.065 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 8.065 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 8.065 * [taylor]: Taking taylor expansion of 1/3 in N 8.065 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 8.065 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 8.065 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.065 * [taylor]: Taking taylor expansion of 1.0 in N 8.065 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.065 * [taylor]: Taking taylor expansion of N in N 8.096 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 8.096 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 8.096 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 8.096 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 8.096 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 8.096 * [taylor]: Taking taylor expansion of 1/3 in N 8.096 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 8.096 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.096 * [taylor]: Taking taylor expansion of N in N 8.096 * [taylor]: Taking taylor expansion of 1.0 in N 8.098 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 8.098 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 8.098 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 8.098 * [taylor]: Taking taylor expansion of 1/3 in N 8.098 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 8.098 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.098 * [taylor]: Taking taylor expansion of N in N 8.098 * [taylor]: Taking taylor expansion of 1.0 in N 8.132 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 8.132 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 8.132 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 8.132 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 8.132 * [taylor]: Taking taylor expansion of 1/3 in N 8.132 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 8.132 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.132 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.132 * [taylor]: Taking taylor expansion of N in N 8.132 * [taylor]: Taking taylor expansion of 1.0 in N 8.133 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 8.133 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 8.133 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 8.133 * [taylor]: Taking taylor expansion of 1/3 in N 8.133 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 8.133 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.133 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.133 * [taylor]: Taking taylor expansion of N in N 8.134 * [taylor]: Taking taylor expansion of 1.0 in N 8.152 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 8.152 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 8.152 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 8.152 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 8.152 * [taylor]: Taking taylor expansion of 1/3 in N 8.152 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 8.152 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.152 * [taylor]: Taking taylor expansion of 1.0 in N 8.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.152 * [taylor]: Taking taylor expansion of N in N 8.154 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 8.154 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 8.154 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 8.154 * [taylor]: Taking taylor expansion of 1/3 in N 8.154 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 8.154 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.154 * [taylor]: Taking taylor expansion of 1.0 in N 8.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.154 * [taylor]: Taking taylor expansion of N in N 8.183 * * * [progress]: simplifying candidates 8.186 * [simplify]: Simplifying using # : (log (cbrt (- (* N N) (* 1.0 1.0)))) (exp (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt 1) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0)) (cbrt (- N 1.0)) (cbrt (- (pow (* N N) 3) (pow (* 1.0 1.0) 3))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))) (cbrt (- (* (* N N) (* N N)) (* (* 1.0 1.0) (* 1.0 1.0)))) (cbrt (+ (* N N) (* 1.0 1.0))) (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (* (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (- (log (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (- N 1.0)))) (log (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (exp (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (/ (- (* N N) (* 1.0 1.0)) (- N 1.0)) (* (cbrt (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (cbrt (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))))) (cbrt (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (sqrt (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (sqrt (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (- (cbrt (- (* N N) (* 1.0 1.0)))) (- (cbrt (- N 1.0))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt 1)) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (sqrt N) (sqrt 1.0)))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt 1)) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) 1) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt 1)) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (sqrt N) (sqrt 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt 1)) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) 1) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (cbrt 1) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (cbrt (- N 1.0)))) (/ (cbrt 1) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (sqrt (- N 1.0)))) (/ (cbrt 1) (cbrt 1)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ (cbrt 1) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (sqrt N) (sqrt 1.0)))) (/ (cbrt 1) (cbrt 1)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ (cbrt 1) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (cbrt (- N 1.0)))) (/ (cbrt 1) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt 1) 1) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ (cbrt (+ N 1.0)) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (- N 1.0)) (cbrt (cbrt (- N 1.0)))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (- N 1.0)) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (+ N 1.0)) (cbrt 1)) (/ (cbrt (- N 1.0)) (cbrt (- N 1.0))) (/ (cbrt (+ N 1.0)) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (- N 1.0)) (cbrt (- (sqrt N) (sqrt 1.0)))) (/ (cbrt (+ N 1.0)) (cbrt 1)) (/ (cbrt (- N 1.0)) (cbrt (- N 1.0))) (/ (cbrt (+ N 1.0)) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (- N 1.0)) (cbrt (cbrt (- N 1.0)))) (/ (cbrt (+ N 1.0)) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (- N 1.0)) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (+ N 1.0)) 1) (/ (cbrt (- N 1.0)) (cbrt (- N 1.0))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt 1)) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (sqrt N) (sqrt 1.0)))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt 1)) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) 1) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt 1)) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (sqrt N) (sqrt 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt 1)) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) 1) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ 1 (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (cbrt (- N 1.0)))) (/ 1 (cbrt (sqrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (sqrt (- N 1.0)))) (/ 1 (cbrt 1)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ 1 (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (sqrt N) (sqrt 1.0)))) (/ 1 (cbrt 1)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ 1 (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (cbrt (- N 1.0)))) (/ 1 (sqrt (cbrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (sqrt (cbrt (- N 1.0)))) (/ 1 1) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ 1 (cbrt (- N 1.0))) (/ (cbrt (- N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt 1)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt 1)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) 1) (/ (cbrt (- N 1.0)) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (- N 1.0)) (cbrt (sqrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (- N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (/ (cbrt (- N 1.0)) (cbrt (- N 1.0))) (/ (cbrt (- N 1.0)) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (- N 1.0)) (sqrt (cbrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (- N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (pow N 3) (pow 1.0 3)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0)))))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (* 1.0 1.0)))) (+ 1/3 1/3) (+ 1 1) (* (+ N 1.0) (+ N 1.0)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (+ 1 1) (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (exp (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (+ N 1.0) (+ N 1.0)) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* 1 1) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* 2 1/3) (* 2 1) (* (cbrt (+ N 1.0)) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (+ N 1.0)) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt 1)) (* (cbrt (+ N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (* (cbrt (+ N 1.0)) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) 1) (* (cbrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ N 1.0))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (- (+ (* 0.05555555555555555 (* (pow N 4) (pow -1.0 1/3))) (pow (- 1.0) 1/3)) (+ (* 1/6 (* (pow N 4) (pow (/ 1 (pow -1.0 5)) 1/3))) (* 0.3333333333333333 (* (pow N 2) (pow -1.0 1/3))))) (- (pow (/ 1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3)))) (- (pow (/ -1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3)))) (- (+ (pow 1.0 1/3) (* 0.3333333333333333 (* N (pow 1.0 1/3)))) (* 0.1111111111111111 (* (pow N 2) (pow 1.0 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (* 0.3333333333333333 (* (pow (/ -1 (pow N 2)) 1/3) (/ 1 (cbrt -1)))) (* (pow (* -1 N) 1/3) (/ 1 (cbrt -1)))) (* 0.1111111111111111 (* (pow (/ -1 (pow N 5)) 1/3) (/ 1 (cbrt -1))))) (- (+ (pow 1.0 1/3) (+ (* 0.6666666666666666 (* N (pow 1.0 1/3))) (* 0.5555555555555556 (* (pow N 2) (pow 1.0 1/3))))) (* 0.6666666666666666 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (pow (/ -1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 8.196 * * [simplify]: iteration 0 : 315 enodes (cost 3526 ) 8.263 * * [simplify]: iteration 1 : 645 enodes (cost 3258 ) 8.389 * * [simplify]: iteration 2 : 1735 enodes (cost 3152 ) 8.813 * * [simplify]: iteration done : 5001 enodes (cost 3126 ) 8.814 * [simplify]: Simplified to: (log (cbrt (- (* N N) (* 1.0 1.0)))) (exp (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) 1 (cbrt (- (* N N) 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(cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (sqrt N) (sqrt 1.0)))) (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (sqrt N) (sqrt 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ 1 (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (cbrt (- N 1.0)))) (/ 1 (cbrt (sqrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (sqrt (- N 1.0)))) 1 (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ 1 (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (sqrt N) (sqrt 1.0)))) 1 (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ 1 (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (cbrt (- N 1.0)))) (/ 1 (sqrt (cbrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (sqrt (cbrt (- N 1.0)))) 1 (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ 1 (cbrt (- N 1.0))) (/ (cbrt (- N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (sqrt (- N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ (sqrt N) (sqrt 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (sqrt (cbrt (- N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (/ (cbrt (- N 1.0)) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (- N 1.0)) (cbrt (sqrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (- N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) 1 (/ (cbrt (- N 1.0)) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (- N 1.0)) (sqrt (cbrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (- N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (pow N 3) (pow 1.0 3)))) 1 (* (cbrt (- N 1.0)) (cbrt (+ (* (* 1.0 1.0) (+ (* N N) (* 1.0 1.0))) (pow N 4)))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (* 1.0 1.0)))) 2/3 2 (* (+ N 1.0) (+ N 1.0)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 2 (* 2 (log (cbrt (+ N 1.0)))) (* 2 (log (cbrt (+ N 1.0)))) (exp (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (+ N 1.0) (+ N 1.0)) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (pow (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 3) (fabs (cbrt (+ N 1.0))) (fabs (cbrt (+ N 1.0))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ (* N N) (* 1.0 (- 1.0 N)))) (cbrt (+ (* N N) (* 1.0 (- 1.0 N))))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (* 1.0 (- 1.0 N))))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (* 1.0 (- 1.0 N))))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1 (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1 (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1 (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1 (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (pow (cbrt (cbrt (+ N 1.0))) 3) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (+ N 1.0)) (cbrt (+ N 1.0)) 1 (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt (+ N 1.0)) (cbrt (+ N 1.0)) 2/3 2 (* (cbrt (+ N 1.0)) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)) (cbrt (+ N 1.0)) (* (cbrt (+ N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (pow (sqrt (cbrt (+ N 1.0))) 3) (cbrt (+ N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (pow (sqrt (cbrt (+ N 1.0))) 3) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) 1 (cbrt (+ N 1.0)) 1 (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (* 1.0 (- 1.0 N)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (pow (cbrt (+ N 1.0)) 3) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (- (+ (cbrt (- 1.0)) (* (pow N 4) (- (* 0.05555555555555555 (cbrt -1.0)) (* (cbrt (/ 1 (pow -1.0 5))) 1/6)))) (* (* (* N N) (cbrt -1.0)) 0.3333333333333333)) (- (pow (/ 1 N) -2/3) (+ (* (cbrt (/ 1 (pow N 10))) 0.1111111111111111) (* (cbrt (/ 1 (pow N 4))) 0.3333333333333333))) (- (- (pow (/ -1 N) -2/3) (* (cbrt (/ 1 (pow N 4))) 0.3333333333333333)) (* (cbrt (/ 1 (pow N 10))) 0.1111111111111111)) (+ (cbrt 1.0) (* (cbrt 1.0) (* N (- 0.3333333333333333 (* 0.1111111111111111 N))))) (- (+ (* 0.3333333333333333 (cbrt (/ 1 (pow N 2)))) (pow (/ 1 N) -1/3)) (* (cbrt (/ 1 (pow N 5))) 0.1111111111111111)) (* (/ 1 (cbrt -1)) (+ (* (cbrt (/ -1 (pow N 2))) 0.3333333333333333) (- (cbrt (- N)) (* 0.1111111111111111 (cbrt (/ -1 (pow N 5))))))) (+ (* (+ (* 0.6666666666666666 N) 1) (cbrt 1.0)) (* (* N N) (- (* (cbrt 1.0) 0.5555555555555556) (* 0.6666666666666666 (cbrt (/ 1 (pow 1.0 5))))))) (- (+ (* (cbrt (/ 1 N)) 0.6666666666666666) (pow (/ 1 N) -2/3)) (* (cbrt (/ 1 (pow N 4))) 0.1111111111111111)) (- (+ (pow (/ -1 N) -2/3) (* (cbrt (/ 1 N)) 0.6666666666666666)) (* (cbrt (/ 1 (pow N 4))) 0.1111111111111111)) (+ (* (* N N) (- (* (cbrt 1.0) 0.05555555555555555) (* 1/6 (cbrt (/ 1 (pow 1.0 5)))))) (* (+ (* 0.3333333333333333 N) 1) (cbrt 1.0))) (- (+ (* 0.3333333333333333 (cbrt (/ 1 (pow N 2)))) (pow (/ 1 N) -1/3)) (* (cbrt (/ 1 (pow N 5))) 0.1111111111111111)) (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) 8.816 * * * [progress]: adding candidates to table 9.331 * [progress]: [Phase 3 of 3] Extracting. 9.331 * * [regime]: Finding splitpoints for: (# # # # # #) 9.332 * * * [regime-changes]: Trying 1 branch expressions: (N) 9.332 * * * * [regimes]: Trying to branch on N from (# # # # # #) 9.351 * * * [regime]: Found split indices: #