10.731 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.029 * * [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)) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.042 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.044 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.044 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.044 * [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 0.056 * [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 0.060 * [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 ) 0.080 * * [simplify]: iteration 2 : 144 enodes (cost 245 ) 0.103 * * [simplify]: iteration 3 : 248 enodes (cost 241 ) 0.156 * * [simplify]: iteration 4 : 516 enodes (cost 239 ) 0.319 * * [simplify]: iteration 5 : 1593 enodes (cost 239 ) 1.093 * * [simplify]: iteration done : 5001 enodes (cost 239 ) 1.093 * [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) (atan N)) (* (atan (+ N 1.0)) (+ (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))) (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)) 1.093 * * * [progress]: adding candidates to table 1.146 * * [progress]: iteration 2 / 4 1.146 * * * [progress]: picking best candidate 1.147 * * * * [pick]: Picked # 1.147 * * * [progress]: localizing error 1.153 * * * [progress]: generating rewritten candidates 1.153 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.154 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 1.164 * * * [progress]: generating series expansions 1.165 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.165 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 1.165 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.165 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.165 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 1.165 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.166 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.166 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 1.166 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.166 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.167 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 1.167 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 1.167 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.167 * [taylor]: Taking taylor expansion of N in N 1.167 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.167 * [taylor]: Taking taylor expansion of N in N 1.167 * [taylor]: Taking taylor expansion of 1.0 in N 1.167 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.167 * [taylor]: Taking taylor expansion of N in N 1.167 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.167 * [taylor]: Taking taylor expansion of N in N 1.167 * [taylor]: Taking taylor expansion of 1.0 in N 1.177 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 1.177 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.177 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.177 * [taylor]: Taking taylor expansion of N in N 1.177 * [taylor]: Taking taylor expansion of 1.0 in N 1.177 * [taylor]: Taking taylor expansion of N in N 1.178 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.178 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.178 * [taylor]: Taking taylor expansion of N in N 1.178 * [taylor]: Taking taylor expansion of 1.0 in N 1.178 * [taylor]: Taking taylor expansion of N in N 1.192 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 1.192 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 1.192 * [taylor]: Taking taylor expansion of -1 in N 1.192 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.192 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.192 * [taylor]: Taking taylor expansion of 1.0 in N 1.192 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.192 * [taylor]: Taking taylor expansion of N in N 1.192 * [taylor]: Taking taylor expansion of N in N 1.193 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 1.193 * [taylor]: Taking taylor expansion of -1 in N 1.193 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.193 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.193 * [taylor]: Taking taylor expansion of 1.0 in N 1.193 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.193 * [taylor]: Taking taylor expansion of N in N 1.193 * [taylor]: Taking taylor expansion of N in N 1.212 * * * [progress]: simplifying candidates 1.213 * [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)) 1.215 * * [simplify]: iteration 0 : 55 enodes (cost 317 ) 1.224 * * [simplify]: iteration 1 : 120 enodes (cost 312 ) 1.254 * * [simplify]: iteration 2 : 351 enodes (cost 264 ) 1.428 * * [simplify]: iteration 3 : 1402 enodes (cost 264 ) 2.705 * * [simplify]: iteration done : 5000 enodes (cost 264 ) 2.705 * [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 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)) (* (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) (* (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 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ N 1.0) N) 2.705 * * * [progress]: adding candidates to table 2.762 * * [progress]: iteration 3 / 4 2.763 * * * [progress]: picking best candidate 2.772 * * * * [pick]: Picked # 2.772 * * * [progress]: localizing error 2.781 * * * [progress]: generating rewritten candidates 2.781 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 2.803 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 2.805 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 2.808 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 2.813 * * * [progress]: generating series expansions 2.813 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 2.813 * [approximate]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in (N) around 0 2.813 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 2.813 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 2.813 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 2.813 * [taylor]: Taking taylor expansion of 1/3 in N 2.813 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 2.813 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 2.813 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.813 * [taylor]: Taking taylor expansion of N in N 2.813 * [taylor]: Taking taylor expansion of 1.0 in N 2.819 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 2.820 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 2.820 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 2.820 * [taylor]: Taking taylor expansion of 1/3 in N 2.820 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 2.820 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 2.820 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.820 * [taylor]: Taking taylor expansion of N in N 2.820 * [taylor]: Taking taylor expansion of 1.0 in N 2.863 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in (N) around 0 2.863 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 2.863 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 2.863 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 2.863 * [taylor]: Taking taylor expansion of 1/3 in N 2.863 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 2.863 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 2.863 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.863 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.863 * [taylor]: Taking taylor expansion of N in N 2.863 * [taylor]: Taking taylor expansion of 1.0 in N 2.864 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 2.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 2.864 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 2.864 * [taylor]: Taking taylor expansion of 1/3 in N 2.864 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 2.865 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 2.865 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.865 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.865 * [taylor]: Taking taylor expansion of N in N 2.865 * [taylor]: Taking taylor expansion of 1.0 in N 2.889 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in (N) around 0 2.889 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 2.889 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 2.889 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 2.889 * [taylor]: Taking taylor expansion of 1/3 in N 2.889 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 2.889 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 2.889 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.889 * [taylor]: Taking taylor expansion of 1.0 in N 2.889 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.889 * [taylor]: Taking taylor expansion of N in N 2.891 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 2.891 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 2.891 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 2.891 * [taylor]: Taking taylor expansion of 1/3 in N 2.891 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 2.891 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 2.891 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.891 * [taylor]: Taking taylor expansion of 1.0 in N 2.891 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.891 * [taylor]: Taking taylor expansion of N in N 2.923 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 2.923 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 2.923 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 2.923 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 2.923 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 2.923 * [taylor]: Taking taylor expansion of 1/3 in N 2.923 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.923 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.923 * [taylor]: Taking taylor expansion of N in N 2.923 * [taylor]: Taking taylor expansion of 1.0 in N 2.925 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 2.925 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 2.925 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 2.925 * [taylor]: Taking taylor expansion of 1/3 in N 2.925 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.925 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.925 * [taylor]: Taking taylor expansion of N in N 2.925 * [taylor]: Taking taylor expansion of 1.0 in N 2.960 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 2.960 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 2.960 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 2.960 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 2.960 * [taylor]: Taking taylor expansion of 1/3 in N 2.960 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.960 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.960 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.960 * [taylor]: Taking taylor expansion of N in N 2.960 * [taylor]: Taking taylor expansion of 1.0 in N 2.961 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 2.961 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 2.961 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 2.961 * [taylor]: Taking taylor expansion of 1/3 in N 2.961 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.961 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.961 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.961 * [taylor]: Taking taylor expansion of N in N 2.962 * [taylor]: Taking taylor expansion of 1.0 in N 2.981 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 2.981 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 2.981 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 2.981 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 2.981 * [taylor]: Taking taylor expansion of 1/3 in N 2.981 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.981 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.981 * [taylor]: Taking taylor expansion of 1.0 in N 2.981 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.981 * [taylor]: Taking taylor expansion of N in N 2.983 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 2.983 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 2.983 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 2.983 * [taylor]: Taking taylor expansion of 1/3 in N 2.983 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.983 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.983 * [taylor]: Taking taylor expansion of 1.0 in N 2.983 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.983 * [taylor]: Taking taylor expansion of N in N 3.012 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 3.012 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 3.012 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 3.012 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 3.012 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 3.012 * [taylor]: Taking taylor expansion of 1/3 in N 3.012 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.013 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.013 * [taylor]: Taking taylor expansion of N in N 3.013 * [taylor]: Taking taylor expansion of 1.0 in N 3.015 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 3.015 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 3.015 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 3.015 * [taylor]: Taking taylor expansion of 1/3 in N 3.015 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.015 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.015 * [taylor]: Taking taylor expansion of N in N 3.015 * [taylor]: Taking taylor expansion of 1.0 in N 3.049 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 3.049 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 3.049 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 3.049 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 3.049 * [taylor]: Taking taylor expansion of 1/3 in N 3.049 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.049 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.049 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.049 * [taylor]: Taking taylor expansion of N in N 3.050 * [taylor]: Taking taylor expansion of 1.0 in N 3.051 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 3.051 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 3.051 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 3.051 * [taylor]: Taking taylor expansion of 1/3 in N 3.051 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.051 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.051 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.051 * [taylor]: Taking taylor expansion of N in N 3.051 * [taylor]: Taking taylor expansion of 1.0 in N 3.074 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 3.074 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 3.074 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 3.074 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 3.074 * [taylor]: Taking taylor expansion of 1/3 in N 3.074 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.074 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.074 * [taylor]: Taking taylor expansion of 1.0 in N 3.074 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.074 * [taylor]: Taking taylor expansion of N in N 3.076 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 3.076 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 3.076 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 3.076 * [taylor]: Taking taylor expansion of 1/3 in N 3.076 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.076 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.076 * [taylor]: Taking taylor expansion of 1.0 in N 3.076 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.076 * [taylor]: Taking taylor expansion of N in N 3.101 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 3.101 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 3.101 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 3.101 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 3.101 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 3.101 * [taylor]: Taking taylor expansion of 1/3 in N 3.101 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.101 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.101 * [taylor]: Taking taylor expansion of N in N 3.101 * [taylor]: Taking taylor expansion of 1.0 in N 3.104 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 3.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 3.104 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 3.104 * [taylor]: Taking taylor expansion of 1/3 in N 3.104 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.104 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.104 * [taylor]: Taking taylor expansion of N in N 3.104 * [taylor]: Taking taylor expansion of 1.0 in N 3.139 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 3.139 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 3.139 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 3.139 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 3.139 * [taylor]: Taking taylor expansion of 1/3 in N 3.139 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.139 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.139 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.139 * [taylor]: Taking taylor expansion of N in N 3.140 * [taylor]: Taking taylor expansion of 1.0 in N 3.141 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 3.141 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 3.141 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 3.141 * [taylor]: Taking taylor expansion of 1/3 in N 3.141 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.141 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.141 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.141 * [taylor]: Taking taylor expansion of N in N 3.141 * [taylor]: Taking taylor expansion of 1.0 in N 3.164 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 3.164 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 3.164 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 3.164 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 3.164 * [taylor]: Taking taylor expansion of 1/3 in N 3.164 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.164 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.164 * [taylor]: Taking taylor expansion of 1.0 in N 3.164 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.164 * [taylor]: Taking taylor expansion of N in N 3.166 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 3.166 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 3.166 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 3.166 * [taylor]: Taking taylor expansion of 1/3 in N 3.166 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.166 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.166 * [taylor]: Taking taylor expansion of 1.0 in N 3.166 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.166 * [taylor]: Taking taylor expansion of N in N 3.192 * * * [progress]: simplifying candidates 3.194 * [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)))) 3.198 * * [simplify]: iteration 0 : 139 enodes (cost 1485 ) 3.232 * * [simplify]: iteration 1 : 307 enodes (cost 1358 ) 3.313 * * [simplify]: iteration 2 : 910 enodes (cost 1288 ) 3.834 * * [simplify]: iteration 3 : 3707 enodes (cost 1148 ) 5.142 * * [simplify]: iteration done : 5000 enodes (cost 1148 ) 5.143 * [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 (+ N 1.0)) (cbrt (pow (sqrt (cbrt (+ N 1.0))) 4))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)) (cbrt (+ N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (pow (cbrt (cbrt (+ N 1.0))) 4)) (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))) (+ (* (* N (+ 0.6666666666666666 (* 0.5555555555555556 N))) (cbrt 1.0)) (- (cbrt 1.0) (* 0.6666666666666666 (* (cbrt (/ 1 (pow 1.0 5))) (* N N))))) (- (+ (* 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 (+ (* 0.05555555555555555 N) 0.3333333333333333))) (- (cbrt 1.0) (* 1/6 (* (cbrt (/ 1 (pow 1.0 5))) (* N N))))) (+ (pow (/ 1 N) -1/3) (- (* (cbrt (/ 1 (pow N 2))) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 5)))))) (+ (* (/ (cbrt (exp (+ 0 (log N)))) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (cbrt (exp (+ 0 (log N))))) (+ (* (cbrt 1.0) (* N (+ (* 0.05555555555555555 N) 0.3333333333333333))) (- (cbrt 1.0) (* 1/6 (* (cbrt (/ 1 (pow 1.0 5))) (* N N))))) (+ (pow (/ 1 N) -1/3) (- (* (cbrt (/ 1 (pow N 2))) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 5)))))) (+ (* (/ (cbrt (exp (+ 0 (log N)))) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (cbrt (exp (+ 0 (log N))))) (+ (* (cbrt 1.0) (* N (+ (* 0.05555555555555555 N) 0.3333333333333333))) (- (cbrt 1.0) (* 1/6 (* (cbrt (/ 1 (pow 1.0 5))) (* N N))))) (+ (pow (/ 1 N) -1/3) (- (* (cbrt (/ 1 (pow N 2))) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 5)))))) (+ (* (/ (cbrt (exp (+ 0 (log N)))) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (cbrt (exp (+ 0 (log N))))) 5.144 * * * [progress]: adding candidates to table 5.415 * * [progress]: iteration 4 / 4 5.415 * * * [progress]: picking best candidate 5.426 * * * * [pick]: Picked # 5.426 * * * [progress]: localizing error 5.443 * * * [progress]: generating rewritten candidates 5.443 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1 1) 5.445 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 5.460 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 5.481 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 5.491 * * * [progress]: generating series expansions 5.491 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1 1) 5.492 * [approximate]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in (N) around 0 5.492 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N 5.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N 5.492 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N 5.492 * [taylor]: Taking taylor expansion of 1/3 in N 5.492 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N 5.492 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 5.492 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.492 * [taylor]: Taking taylor expansion of N in N 5.492 * [taylor]: Taking taylor expansion of 1.0 in N 5.495 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N 5.495 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N 5.495 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N 5.495 * [taylor]: Taking taylor expansion of 1/3 in N 5.495 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N 5.496 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 5.496 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.496 * [taylor]: Taking taylor expansion of N in N 5.496 * [taylor]: Taking taylor expansion of 1.0 in N 5.572 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0 5.572 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 5.572 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 5.572 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 5.573 * [taylor]: Taking taylor expansion of 1/3 in N 5.573 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 5.573 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 5.573 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.573 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.573 * [taylor]: Taking taylor expansion of N in N 5.573 * [taylor]: Taking taylor expansion of 1.0 in N 5.574 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 5.574 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 5.574 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 5.574 * [taylor]: Taking taylor expansion of 1/3 in N 5.574 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 5.574 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 5.574 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.574 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.574 * [taylor]: Taking taylor expansion of N in N 5.575 * [taylor]: Taking taylor expansion of 1.0 in N 5.631 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0 5.631 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 5.631 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 5.631 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 5.631 * [taylor]: Taking taylor expansion of 1/3 in N 5.631 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 5.631 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 5.631 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.631 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.631 * [taylor]: Taking taylor expansion of N in N 5.631 * [taylor]: Taking taylor expansion of 1.0 in N 5.632 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 5.632 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 5.632 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 5.632 * [taylor]: Taking taylor expansion of 1/3 in N 5.632 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 5.632 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 5.632 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.632 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.632 * [taylor]: Taking taylor expansion of N in N 5.633 * [taylor]: Taking taylor expansion of 1.0 in N 5.683 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 5.683 * [approximate]: Taking taylor expansion of (pow (/ (- (pow N 2) 1.0) (- N 1.0)) 1/3) in (N) around 0 5.684 * [taylor]: Taking taylor expansion of (pow (/ (- (pow N 2) 1.0) (- N 1.0)) 1/3) in N 5.684 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (pow N 2) 1.0) (- N 1.0))))) in N 5.684 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (pow N 2) 1.0) (- N 1.0)))) in N 5.684 * [taylor]: Taking taylor expansion of 1/3 in N 5.684 * [taylor]: Taking taylor expansion of (log (/ (- (pow N 2) 1.0) (- N 1.0))) in N 5.684 * [taylor]: Taking taylor expansion of (/ (- (pow N 2) 1.0) (- N 1.0)) in N 5.684 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 5.684 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.684 * [taylor]: Taking taylor expansion of N in N 5.684 * [taylor]: Taking taylor expansion of 1.0 in N 5.684 * [taylor]: Taking taylor expansion of (- N 1.0) in N 5.684 * [taylor]: Taking taylor expansion of N in N 5.684 * [taylor]: Taking taylor expansion of 1.0 in N 5.688 * [taylor]: Taking taylor expansion of (pow (/ (- (pow N 2) 1.0) (- N 1.0)) 1/3) in N 5.688 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (pow N 2) 1.0) (- N 1.0))))) in N 5.688 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (pow N 2) 1.0) (- N 1.0)))) in N 5.688 * [taylor]: Taking taylor expansion of 1/3 in N 5.688 * [taylor]: Taking taylor expansion of (log (/ (- (pow N 2) 1.0) (- N 1.0))) in N 5.688 * [taylor]: Taking taylor expansion of (/ (- (pow N 2) 1.0) (- N 1.0)) in N 5.688 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 5.688 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.688 * [taylor]: Taking taylor expansion of N in N 5.688 * [taylor]: Taking taylor expansion of 1.0 in N 5.688 * [taylor]: Taking taylor expansion of (- N 1.0) in N 5.688 * [taylor]: Taking taylor expansion of N in N 5.688 * [taylor]: Taking taylor expansion of 1.0 in N 5.729 * [approximate]: Taking taylor expansion of (pow (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)) 1/3) in (N) around 0 5.729 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)) 1/3) in N 5.729 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0))))) in N 5.729 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)))) in N 5.729 * [taylor]: Taking taylor expansion of 1/3 in N 5.729 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0))) in N 5.729 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)) in N 5.729 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 5.729 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.729 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.729 * [taylor]: Taking taylor expansion of N in N 5.730 * [taylor]: Taking taylor expansion of 1.0 in N 5.730 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1.0) in N 5.730 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.730 * [taylor]: Taking taylor expansion of N in N 5.730 * [taylor]: Taking taylor expansion of 1.0 in N 5.731 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)) 1/3) in N 5.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0))))) in N 5.731 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)))) in N 5.731 * [taylor]: Taking taylor expansion of 1/3 in N 5.731 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0))) in N 5.731 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)) in N 5.731 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 5.731 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.731 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.731 * [taylor]: Taking taylor expansion of N in N 5.732 * [taylor]: Taking taylor expansion of 1.0 in N 5.732 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1.0) in N 5.732 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.732 * [taylor]: Taking taylor expansion of N in N 5.732 * [taylor]: Taking taylor expansion of 1.0 in N 5.761 * [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 5.761 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) 1/3)) in N 5.761 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 5.761 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.761 * [taylor]: Taking taylor expansion of -1 in N 5.762 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) 1/3) in N 5.762 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0))))) in N 5.762 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)))) in N 5.762 * [taylor]: Taking taylor expansion of 1/3 in N 5.762 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0))) in N 5.762 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) in N 5.762 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 5.762 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.762 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.763 * [taylor]: Taking taylor expansion of N in N 5.763 * [taylor]: Taking taylor expansion of 1.0 in N 5.763 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.763 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.763 * [taylor]: Taking taylor expansion of N in N 5.763 * [taylor]: Taking taylor expansion of 1.0 in N 5.765 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) 1/3)) in N 5.765 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 5.765 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.765 * [taylor]: Taking taylor expansion of -1 in N 5.766 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) 1/3) in N 5.766 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0))))) in N 5.766 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)))) in N 5.766 * [taylor]: Taking taylor expansion of 1/3 in N 5.766 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0))) in N 5.766 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) in N 5.766 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 5.766 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.766 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.766 * [taylor]: Taking taylor expansion of N in N 5.767 * [taylor]: Taking taylor expansion of 1.0 in N 5.767 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.767 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.767 * [taylor]: Taking taylor expansion of N in N 5.767 * [taylor]: Taking taylor expansion of 1.0 in N 5.812 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 5.812 * [approximate]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in (N) around 0 5.812 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 5.812 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 5.812 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 5.812 * [taylor]: Taking taylor expansion of 1/3 in N 5.812 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 5.812 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 5.812 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.812 * [taylor]: Taking taylor expansion of N in N 5.812 * [taylor]: Taking taylor expansion of 1.0 in N 5.814 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 5.814 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 5.814 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 5.815 * [taylor]: Taking taylor expansion of 1/3 in N 5.815 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 5.815 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 5.815 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.815 * [taylor]: Taking taylor expansion of N in N 5.815 * [taylor]: Taking taylor expansion of 1.0 in N 5.856 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in (N) around 0 5.856 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 5.856 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 5.856 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 5.856 * [taylor]: Taking taylor expansion of 1/3 in N 5.856 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 5.856 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 5.856 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.856 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.856 * [taylor]: Taking taylor expansion of N in N 5.856 * [taylor]: Taking taylor expansion of 1.0 in N 5.857 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 5.857 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 5.857 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 5.857 * [taylor]: Taking taylor expansion of 1/3 in N 5.857 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 5.857 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 5.857 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.857 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.857 * [taylor]: Taking taylor expansion of N in N 5.858 * [taylor]: Taking taylor expansion of 1.0 in N 5.886 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in (N) around 0 5.887 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 5.887 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 5.887 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 5.887 * [taylor]: Taking taylor expansion of 1/3 in N 5.887 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 5.887 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 5.887 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.887 * [taylor]: Taking taylor expansion of 1.0 in N 5.887 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.887 * [taylor]: Taking taylor expansion of N in N 5.889 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 5.889 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 5.889 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 5.889 * [taylor]: Taking taylor expansion of 1/3 in N 5.889 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 5.889 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 5.889 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.889 * [taylor]: Taking taylor expansion of 1.0 in N 5.889 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.889 * [taylor]: Taking taylor expansion of N in N 5.916 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 5.916 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 5.916 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 5.916 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 5.916 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 5.916 * [taylor]: Taking taylor expansion of 1/3 in N 5.916 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.916 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.916 * [taylor]: Taking taylor expansion of N in N 5.916 * [taylor]: Taking taylor expansion of 1.0 in N 5.918 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 5.918 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 5.918 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 5.918 * [taylor]: Taking taylor expansion of 1/3 in N 5.918 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.918 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.918 * [taylor]: Taking taylor expansion of N in N 5.918 * [taylor]: Taking taylor expansion of 1.0 in N 5.959 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 5.959 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 5.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 5.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 5.959 * [taylor]: Taking taylor expansion of 1/3 in N 5.959 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.959 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.959 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.959 * [taylor]: Taking taylor expansion of N in N 5.959 * [taylor]: Taking taylor expansion of 1.0 in N 5.960 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 5.960 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 5.960 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 5.960 * [taylor]: Taking taylor expansion of 1/3 in N 5.960 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.960 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.960 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.960 * [taylor]: Taking taylor expansion of N in N 5.961 * [taylor]: Taking taylor expansion of 1.0 in N 5.979 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 5.979 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 5.979 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 5.979 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 5.979 * [taylor]: Taking taylor expansion of 1/3 in N 5.979 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.979 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.979 * [taylor]: Taking taylor expansion of 1.0 in N 5.980 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.980 * [taylor]: Taking taylor expansion of N in N 5.982 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 5.982 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 5.982 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 5.982 * [taylor]: Taking taylor expansion of 1/3 in N 5.982 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.982 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.982 * [taylor]: Taking taylor expansion of 1.0 in N 5.982 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.982 * [taylor]: Taking taylor expansion of N in N 6.006 * * * [progress]: simplifying candidates 6.009 * [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 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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)))) 6.020 * * [simplify]: iteration 0 : 315 enodes (cost 3526 ) 6.097 * * [simplify]: iteration 1 : 645 enodes (cost 3258 ) 6.261 * * [simplify]: iteration 2 : 2060 enodes (cost 3152 ) 6.762 * * [simplify]: iteration done : 5001 enodes (cost 3152 ) 6.763 * [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) (* 1.0 1.0))) (cbrt (+ N 1.0)) (cbrt (- N 1.0)) (cbrt (- (pow N 6) (pow 1.0 6))) (cbrt (+ (* (* 1.0 1.0) (+ 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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))) (+ (* 0.05555555555555555 (* (pow N 4) (cbrt -1.0))) (- (cbrt (- 1.0)) (+ (* (* (cbrt (/ 1 (pow -1.0 5))) (pow N 4)) 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) (- (* 0.3333333333333333 N) (* 0.1111111111111111 (* N N))))) (- (+ (* 0.3333333333333333 (cbrt (/ 1 (pow N 2)))) (pow (/ 1 N) -1/3)) (* (cbrt (/ 1 (pow N 5))) 0.1111111111111111)) (- (* (/ 1 (cbrt -1)) (+ (cbrt (- N)) (* 0.3333333333333333 (cbrt (/ -1 (pow N 2)))))) (/ (* 0.1111111111111111 (cbrt (/ -1 (pow N 5)))) (cbrt -1))) (+ (* (cbrt 1.0) (+ (* 0.5555555555555556 (* N N)) (* 0.6666666666666666 N))) (- (cbrt 1.0) (* 0.6666666666666666 (* (cbrt (/ 1 (pow 1.0 5))) (* N N))))) (- (+ (* (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)) (+ (* (cbrt 1.0) (+ (* 0.05555555555555555 (* N N)) (* 0.3333333333333333 N))) (- (cbrt 1.0) (* 1/6 (* (cbrt (/ 1 (pow 1.0 5))) (* N N))))) (- (+ (* 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))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 6.765 * * * [progress]: adding candidates to table 7.336 * [progress]: [Phase 3 of 3] Extracting. 7.336 * * [regime]: Finding splitpoints for: (# # # # # #) 7.337 * * * [regime-changes]: Trying 1 branch expressions: (N) 7.337 * * * * [regimes]: Trying to branch on N from (# # # # # #) 7.362 * * * [regime]: Found split indices: #