7.981 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.037 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.039 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.040 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.040 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.042 * * * * [pick]: Picked # 0.042 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.050 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.052 * * * [progress]: generating series expansions 0.052 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.052 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.053 * [taylor]: Taking taylor expansion of (atan N) in N 0.053 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.053 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.053 * [taylor]: Taking taylor expansion of (atan N) in N 0.056 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.057 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.057 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.057 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.057 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.060 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.060 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.060 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.060 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.060 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.060 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.060 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.064 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.064 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.064 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.064 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.064 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.064 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.064 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.064 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.064 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.064 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.065 * * * [progress]: simplifying candidates 0.065 * [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)) 0.068 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.070 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.073 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.077 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.090 * * [simplify]: iteration 4 : 2491 enodes (cost 142 ) 0.139 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.140 * [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))) (- 0 (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)) (- 0 (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)) 0.140 * * * [progress]: adding candidates to table 0.180 * * [progress]: iteration 2 / 4 0.180 * * * [progress]: picking best candidate 0.182 * * * * [pick]: Picked # 0.182 * * * [progress]: localizing error 0.188 * * * [progress]: generating rewritten candidates 0.188 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.188 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.195 * * * [progress]: generating series expansions 0.195 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.195 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.195 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.195 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.196 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.196 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.196 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.196 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.197 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.197 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.197 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.198 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.198 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.198 * [taylor]: Taking taylor expansion of N in N 0.198 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.198 * [taylor]: Taking taylor expansion of N in N 0.198 * [taylor]: Taking taylor expansion of 1.0 in N 0.198 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.198 * [taylor]: Taking taylor expansion of N in N 0.198 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.198 * [taylor]: Taking taylor expansion of N in N 0.198 * [taylor]: Taking taylor expansion of 1.0 in N 0.207 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.207 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.207 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.207 * [taylor]: Taking taylor expansion of N in N 0.208 * [taylor]: Taking taylor expansion of 1.0 in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.208 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [taylor]: Taking taylor expansion of 1.0 in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.219 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.219 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.219 * [taylor]: Taking taylor expansion of -1 in N 0.220 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.220 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.220 * [taylor]: Taking taylor expansion of 1.0 in N 0.220 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.221 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.221 * [taylor]: Taking taylor expansion of -1 in N 0.221 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.221 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.221 * [taylor]: Taking taylor expansion of 1.0 in N 0.221 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.221 * [taylor]: Taking taylor expansion of N in N 0.221 * [taylor]: Taking taylor expansion of N in N 0.240 * * * [progress]: simplifying candidates 0.241 * [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)) 0.244 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.247 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.257 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.294 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.295 * [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) 0.296 * * * [progress]: adding candidates to table 0.339 * * [progress]: iteration 3 / 4 0.339 * * * [progress]: picking best candidate 0.346 * * * * [pick]: Picked # 0.346 * * * [progress]: localizing error 0.356 * * * [progress]: generating rewritten candidates 0.356 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.360 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 0.365 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 0.369 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.377 * * * [progress]: generating series expansions 0.377 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.377 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.377 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.377 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.377 * [taylor]: Taking taylor expansion of 1/3 in N 0.378 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.378 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.378 * [taylor]: Taking taylor expansion of N in N 0.378 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.378 * [taylor]: Taking taylor expansion of N in N 0.378 * [taylor]: Taking taylor expansion of 1.0 in N 0.381 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.381 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.381 * [taylor]: Taking taylor expansion of 1/3 in N 0.381 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.381 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.381 * [taylor]: Taking taylor expansion of N in N 0.381 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.381 * [taylor]: Taking taylor expansion of N in N 0.381 * [taylor]: Taking taylor expansion of 1.0 in N 0.416 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.417 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.417 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.417 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.417 * [taylor]: Taking taylor expansion of 1/3 in N 0.417 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.417 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.417 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.417 * [taylor]: Taking taylor expansion of N in N 0.417 * [taylor]: Taking taylor expansion of 1.0 in N 0.417 * [taylor]: Taking taylor expansion of N in N 0.418 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.418 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.418 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.418 * [taylor]: Taking taylor expansion of 1/3 in N 0.418 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.418 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.418 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.418 * [taylor]: Taking taylor expansion of N in N 0.418 * [taylor]: Taking taylor expansion of 1.0 in N 0.419 * [taylor]: Taking taylor expansion of N in N 0.440 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.440 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.440 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.440 * [taylor]: Taking taylor expansion of -1 in N 0.441 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.441 * [taylor]: Taking taylor expansion of 1/3 in N 0.441 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.441 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.441 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.441 * [taylor]: Taking taylor expansion of 1.0 in N 0.441 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.441 * [taylor]: Taking taylor expansion of N in N 0.441 * [taylor]: Taking taylor expansion of N in N 0.443 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.443 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.443 * [taylor]: Taking taylor expansion of -1 in N 0.444 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.444 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.444 * [taylor]: Taking taylor expansion of 1/3 in N 0.444 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.444 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.444 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.444 * [taylor]: Taking taylor expansion of 1.0 in N 0.444 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.444 * [taylor]: Taking taylor expansion of N in N 0.444 * [taylor]: Taking taylor expansion of N in N 0.483 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 0.483 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.483 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.484 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.484 * [taylor]: Taking taylor expansion of 1/3 in N 0.484 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.484 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.484 * [taylor]: Taking taylor expansion of N in N 0.484 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.484 * [taylor]: Taking taylor expansion of N in N 0.484 * [taylor]: Taking taylor expansion of 1.0 in N 0.487 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.487 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.487 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.487 * [taylor]: Taking taylor expansion of 1/3 in N 0.487 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.487 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.487 * [taylor]: Taking taylor expansion of N in N 0.487 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.487 * [taylor]: Taking taylor expansion of N in N 0.487 * [taylor]: Taking taylor expansion of 1.0 in N 0.517 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.517 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.517 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.517 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.517 * [taylor]: Taking taylor expansion of 1/3 in N 0.517 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.517 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.517 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.517 * [taylor]: Taking taylor expansion of N in N 0.517 * [taylor]: Taking taylor expansion of 1.0 in N 0.517 * [taylor]: Taking taylor expansion of N in N 0.518 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.518 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.518 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.518 * [taylor]: Taking taylor expansion of 1/3 in N 0.518 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.518 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.518 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.518 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.518 * [taylor]: Taking taylor expansion of N in N 0.519 * [taylor]: Taking taylor expansion of 1.0 in N 0.519 * [taylor]: Taking taylor expansion of N in N 0.540 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.540 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.540 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.540 * [taylor]: Taking taylor expansion of -1 in N 0.541 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.541 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.541 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.541 * [taylor]: Taking taylor expansion of 1/3 in N 0.541 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.541 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.541 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.541 * [taylor]: Taking taylor expansion of 1.0 in N 0.541 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.541 * [taylor]: Taking taylor expansion of N in N 0.541 * [taylor]: Taking taylor expansion of N in N 0.543 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.543 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.543 * [taylor]: Taking taylor expansion of -1 in N 0.544 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.544 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.544 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.544 * [taylor]: Taking taylor expansion of 1/3 in N 0.544 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.544 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.544 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.544 * [taylor]: Taking taylor expansion of 1.0 in N 0.544 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.544 * [taylor]: Taking taylor expansion of N in N 0.544 * [taylor]: Taking taylor expansion of N in N 0.583 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 0.583 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.583 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.583 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.583 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.583 * [taylor]: Taking taylor expansion of 1/3 in N 0.583 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.583 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.583 * [taylor]: Taking taylor expansion of N in N 0.583 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.583 * [taylor]: Taking taylor expansion of N in N 0.583 * [taylor]: Taking taylor expansion of 1.0 in N 0.586 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.586 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.586 * [taylor]: Taking taylor expansion of 1/3 in N 0.586 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.586 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.586 * [taylor]: Taking taylor expansion of N in N 0.586 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.586 * [taylor]: Taking taylor expansion of N in N 0.587 * [taylor]: Taking taylor expansion of 1.0 in N 0.616 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.616 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.616 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.616 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.616 * [taylor]: Taking taylor expansion of 1/3 in N 0.616 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.616 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.616 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.616 * [taylor]: Taking taylor expansion of N in N 0.617 * [taylor]: Taking taylor expansion of 1.0 in N 0.617 * [taylor]: Taking taylor expansion of N in N 0.618 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.618 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.618 * [taylor]: Taking taylor expansion of 1/3 in N 0.618 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.618 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.618 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.618 * [taylor]: Taking taylor expansion of N in N 0.618 * [taylor]: Taking taylor expansion of 1.0 in N 0.618 * [taylor]: Taking taylor expansion of N in N 0.639 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.639 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.639 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.639 * [taylor]: Taking taylor expansion of -1 in N 0.640 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.640 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.640 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.640 * [taylor]: Taking taylor expansion of 1/3 in N 0.640 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.640 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.640 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.640 * [taylor]: Taking taylor expansion of 1.0 in N 0.640 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.640 * [taylor]: Taking taylor expansion of N in N 0.641 * [taylor]: Taking taylor expansion of N in N 0.650 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.650 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.650 * [taylor]: Taking taylor expansion of -1 in N 0.651 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.651 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.651 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.651 * [taylor]: Taking taylor expansion of 1/3 in N 0.651 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.651 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.651 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.651 * [taylor]: Taking taylor expansion of 1.0 in N 0.651 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.651 * [taylor]: Taking taylor expansion of N in N 0.651 * [taylor]: Taking taylor expansion of N in N 0.684 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 0.684 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 0.685 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 0.685 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 0.685 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 0.685 * [taylor]: Taking taylor expansion of 1/3 in N 0.685 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 0.685 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 0.685 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.685 * [taylor]: Taking taylor expansion of N in N 0.685 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.685 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.685 * [taylor]: Taking taylor expansion of N in N 0.685 * [taylor]: Taking taylor expansion of 1.0 in N 0.687 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 0.687 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 0.687 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 0.687 * [taylor]: Taking taylor expansion of 1/3 in N 0.687 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 0.687 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 0.688 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.688 * [taylor]: Taking taylor expansion of N in N 0.688 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.688 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.688 * [taylor]: Taking taylor expansion of N in N 0.688 * [taylor]: Taking taylor expansion of 1.0 in N 0.725 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 0.725 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 0.725 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 0.725 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 0.725 * [taylor]: Taking taylor expansion of 1/3 in N 0.725 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 0.725 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 0.725 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.725 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.725 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.725 * [taylor]: Taking taylor expansion of N in N 0.726 * [taylor]: Taking taylor expansion of 1.0 in N 0.726 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.726 * [taylor]: Taking taylor expansion of N in N 0.727 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 0.727 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 0.727 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 0.727 * [taylor]: Taking taylor expansion of 1/3 in N 0.727 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 0.727 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 0.727 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.728 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.728 * [taylor]: Taking taylor expansion of N in N 0.728 * [taylor]: Taking taylor expansion of 1.0 in N 0.728 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.728 * [taylor]: Taking taylor expansion of N in N 0.762 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in (N) around 0 0.762 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 0.762 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.762 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.762 * [taylor]: Taking taylor expansion of -1 in N 0.763 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 0.763 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 0.763 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 0.763 * [taylor]: Taking taylor expansion of 1/3 in N 0.763 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 0.763 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 0.763 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.763 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.763 * [taylor]: Taking taylor expansion of 1.0 in N 0.763 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.763 * [taylor]: Taking taylor expansion of N in N 0.764 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.764 * [taylor]: Taking taylor expansion of N in N 0.765 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 0.765 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.765 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.765 * [taylor]: Taking taylor expansion of -1 in N 0.766 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 0.766 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 0.766 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 0.766 * [taylor]: Taking taylor expansion of 1/3 in N 0.766 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 0.766 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 0.766 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.766 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.766 * [taylor]: Taking taylor expansion of 1.0 in N 0.766 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.766 * [taylor]: Taking taylor expansion of N in N 0.767 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.767 * [taylor]: Taking taylor expansion of N in N 0.808 * * * [progress]: simplifying candidates 0.809 * [simplify]: Simplifying using # : (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (+ 1/3 1/3) (+ 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (+ 1 1) (+ (log (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N)))) (log (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (exp (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (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)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* 1 1) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* 2 1/3) (* 2 1) (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (cbrt (* (+ N 1.0) N)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt (* (+ N 1.0) N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) 1) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)))) 0.815 * * [simplify]: iteration 0 : 353 enodes (cost 803 ) 0.822 * * [simplify]: iteration 1 : 1280 enodes (cost 743 ) 0.847 * * [simplify]: iteration 2 : 5001 enodes (cost 669 ) 0.858 * [simplify]: Simplified to: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) 2/3 2 (pow (cbrt (* (+ N 1.0) N)) 6) (pow (sqrt (cbrt (* (+ N 1.0) N))) 4) 2 (* 2 (log (cbrt (* (+ N 1.0) N)))) (* 2 (log (cbrt (* (+ N 1.0) N)))) (pow (exp 1) (pow (sqrt (cbrt (* (+ N 1.0) N))) 4)) (pow (cbrt (* (+ N 1.0) N)) 6) (* (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (pow (cbrt (* (+ N 1.0) N)) 6) (fabs (cbrt (* (+ N 1.0) N))) (fabs (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (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)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (pow N 2/3) (pow (cbrt (cbrt (* (+ N 1.0) N))) 4) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)) 1 (pow (sqrt (cbrt (* (+ N 1.0) N))) 4) (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)) 2/3 2 (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (pow (cbrt (cbrt (* (+ N 1.0) N))) 4) (cbrt (cbrt (* (+ N 1.0) N)))) (pow (sqrt (cbrt (* (+ N 1.0) N))) 3) (cbrt (* (+ N 1.0) N)) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (pow (cbrt (cbrt (* (+ N 1.0) N))) 4) (pow (sqrt (cbrt (* (+ N 1.0) N))) 3) (pow (sqrt (cbrt (* (+ N 1.0) N))) 4) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (- (* (* (pow N 1/3) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555))) (- (* (/ 1/6 (/ 1.0 N)) (/ (* (pow N 1/3) (pow 1.0 1/3)) (/ 1.0 N))) (* (pow N 1/3) (pow 1.0 1/3)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (* (* (pow N 1/3) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555))) (- (* (/ 1/6 (/ 1.0 N)) (/ (* (pow N 1/3) (pow 1.0 1/3)) (/ 1.0 N))) (* (pow N 1/3) (pow 1.0 1/3)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (* (* (pow N 1/3) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555))) (- (* (/ 1/6 (/ 1.0 N)) (/ (* (pow N 1/3) (pow 1.0 1/3)) (/ 1.0 N))) (* (pow N 1/3) (pow 1.0 1/3)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (+ (+ (/ (- (* 0.6666666666666666 (pow N 2))) (* (/ 1.0 (pow 1.0 1/3)) (/ 1.0 (pow N 2/3)))) (* (* (pow N 2/3) (pow 1.0 1/3)) (+ (* 0.5555555555555556 (pow N 2)) (* 0.6666666666666666 N)))) (* (pow N 2/3) (pow 1.0 1/3))) (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)))) 0.858 * * * [progress]: adding candidates to table 1.064 * * [progress]: iteration 4 / 4 1.064 * * * [progress]: picking best candidate 1.074 * * * * [pick]: Picked # 1.075 * * * [progress]: localizing error 1.088 * * * [progress]: generating rewritten candidates 1.088 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.092 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1 1) 1.096 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 1.098 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 1.110 * * * [progress]: generating series expansions 1.110 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.110 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 1.110 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.110 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.110 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.110 * [taylor]: Taking taylor expansion of 1/3 in N 1.110 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.110 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.110 * [taylor]: Taking taylor expansion of N in N 1.110 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.110 * [taylor]: Taking taylor expansion of N in N 1.110 * [taylor]: Taking taylor expansion of 1.0 in N 1.113 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.113 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.113 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.113 * [taylor]: Taking taylor expansion of 1/3 in N 1.113 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.113 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.113 * [taylor]: Taking taylor expansion of N in N 1.113 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.113 * [taylor]: Taking taylor expansion of N in N 1.113 * [taylor]: Taking taylor expansion of 1.0 in N 1.149 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 1.149 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.149 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.149 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.149 * [taylor]: Taking taylor expansion of 1/3 in N 1.149 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.149 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.149 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.149 * [taylor]: Taking taylor expansion of N in N 1.149 * [taylor]: Taking taylor expansion of 1.0 in N 1.149 * [taylor]: Taking taylor expansion of N in N 1.150 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.150 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.150 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.150 * [taylor]: Taking taylor expansion of 1/3 in N 1.150 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.150 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.150 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.150 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.150 * [taylor]: Taking taylor expansion of N in N 1.151 * [taylor]: Taking taylor expansion of 1.0 in N 1.151 * [taylor]: Taking taylor expansion of N in N 1.172 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 1.172 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.172 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.172 * [taylor]: Taking taylor expansion of -1 in N 1.172 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.173 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.173 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.173 * [taylor]: Taking taylor expansion of 1/3 in N 1.173 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.173 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.173 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.173 * [taylor]: Taking taylor expansion of 1.0 in N 1.173 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.173 * [taylor]: Taking taylor expansion of N in N 1.173 * [taylor]: Taking taylor expansion of N in N 1.175 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.175 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.175 * [taylor]: Taking taylor expansion of -1 in N 1.176 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.176 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.176 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.176 * [taylor]: Taking taylor expansion of 1/3 in N 1.176 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.176 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.176 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.176 * [taylor]: Taking taylor expansion of 1.0 in N 1.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.176 * [taylor]: Taking taylor expansion of N in N 1.176 * [taylor]: Taking taylor expansion of N in N 1.209 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1 1) 1.209 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 1.209 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.209 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.209 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.209 * [taylor]: Taking taylor expansion of 1/3 in N 1.209 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.209 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.209 * [taylor]: Taking taylor expansion of N in N 1.209 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.209 * [taylor]: Taking taylor expansion of N in N 1.209 * [taylor]: Taking taylor expansion of 1.0 in N 1.212 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.212 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.212 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.212 * [taylor]: Taking taylor expansion of 1/3 in N 1.212 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.212 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.212 * [taylor]: Taking taylor expansion of N in N 1.212 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.212 * [taylor]: Taking taylor expansion of N in N 1.212 * [taylor]: Taking taylor expansion of 1.0 in N 1.248 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 1.248 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.248 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.248 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.248 * [taylor]: Taking taylor expansion of 1/3 in N 1.248 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.248 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.248 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.248 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.248 * [taylor]: Taking taylor expansion of N in N 1.248 * [taylor]: Taking taylor expansion of 1.0 in N 1.248 * [taylor]: Taking taylor expansion of N in N 1.250 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.250 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.250 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.250 * [taylor]: Taking taylor expansion of 1/3 in N 1.250 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.250 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.250 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.250 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.250 * [taylor]: Taking taylor expansion of N in N 1.250 * [taylor]: Taking taylor expansion of 1.0 in N 1.250 * [taylor]: Taking taylor expansion of N in N 1.271 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 1.271 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.271 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.271 * [taylor]: Taking taylor expansion of -1 in N 1.272 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.272 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.272 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.272 * [taylor]: Taking taylor expansion of 1/3 in N 1.272 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.272 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.272 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.272 * [taylor]: Taking taylor expansion of 1.0 in N 1.272 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.272 * [taylor]: Taking taylor expansion of N in N 1.272 * [taylor]: Taking taylor expansion of N in N 1.275 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.275 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.275 * [taylor]: Taking taylor expansion of -1 in N 1.275 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.275 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.275 * [taylor]: Taking taylor expansion of 1/3 in N 1.275 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.275 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.275 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.275 * [taylor]: Taking taylor expansion of 1.0 in N 1.276 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.276 * [taylor]: Taking taylor expansion of N in N 1.276 * [taylor]: Taking taylor expansion of N in N 1.309 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 1.309 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.309 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.309 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.309 * [taylor]: Taking taylor expansion of 1/3 in N 1.309 * [taylor]: Taking taylor expansion of (log N) in N 1.309 * [taylor]: Taking taylor expansion of N in N 1.309 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.309 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.309 * [taylor]: Taking taylor expansion of 1/3 in N 1.309 * [taylor]: Taking taylor expansion of (log N) in N 1.309 * [taylor]: Taking taylor expansion of N in N 1.364 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.364 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.364 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.364 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.364 * [taylor]: Taking taylor expansion of 1/3 in N 1.364 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.364 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.364 * [taylor]: Taking taylor expansion of N in N 1.365 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.365 * [taylor]: Taking taylor expansion of 1/3 in N 1.365 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.365 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.365 * [taylor]: Taking taylor expansion of N in N 1.424 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.424 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.424 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.424 * [taylor]: Taking taylor expansion of -1 in N 1.424 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.424 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.425 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.425 * [taylor]: Taking taylor expansion of 1/3 in N 1.425 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.425 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.425 * [taylor]: Taking taylor expansion of N in N 1.425 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.425 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.425 * [taylor]: Taking taylor expansion of -1 in N 1.426 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.426 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.426 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.426 * [taylor]: Taking taylor expansion of 1/3 in N 1.426 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.426 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.426 * [taylor]: Taking taylor expansion of N in N 1.495 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 1.495 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 1.495 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 1.495 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 1.495 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 1.495 * [taylor]: Taking taylor expansion of 1/3 in N 1.495 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 1.495 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 1.495 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.495 * [taylor]: Taking taylor expansion of N in N 1.495 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 1.495 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.495 * [taylor]: Taking taylor expansion of N in N 1.495 * [taylor]: Taking taylor expansion of 1.0 in N 1.497 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 1.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 1.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 1.498 * [taylor]: Taking taylor expansion of 1/3 in N 1.498 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 1.498 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 1.498 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.498 * [taylor]: Taking taylor expansion of N in N 1.498 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 1.498 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.498 * [taylor]: Taking taylor expansion of N in N 1.498 * [taylor]: Taking taylor expansion of 1.0 in N 1.535 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 1.535 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 1.535 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 1.535 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 1.535 * [taylor]: Taking taylor expansion of 1/3 in N 1.535 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 1.535 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 1.535 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 1.536 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.536 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.536 * [taylor]: Taking taylor expansion of N in N 1.536 * [taylor]: Taking taylor expansion of 1.0 in N 1.536 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.536 * [taylor]: Taking taylor expansion of N in N 1.537 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 1.537 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 1.537 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 1.537 * [taylor]: Taking taylor expansion of 1/3 in N 1.537 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 1.538 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 1.538 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 1.538 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.538 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.538 * [taylor]: Taking taylor expansion of N in N 1.538 * [taylor]: Taking taylor expansion of 1.0 in N 1.538 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.538 * [taylor]: Taking taylor expansion of N in N 1.571 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in (N) around 0 1.572 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 1.572 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.572 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.572 * [taylor]: Taking taylor expansion of -1 in N 1.572 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 1.572 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 1.572 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 1.572 * [taylor]: Taking taylor expansion of 1/3 in N 1.572 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 1.572 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 1.572 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 1.573 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.573 * [taylor]: Taking taylor expansion of 1.0 in N 1.573 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.573 * [taylor]: Taking taylor expansion of N in N 1.573 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.573 * [taylor]: Taking taylor expansion of N in N 1.575 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 1.575 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.575 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.575 * [taylor]: Taking taylor expansion of -1 in N 1.575 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 1.575 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 1.576 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 1.576 * [taylor]: Taking taylor expansion of 1/3 in N 1.576 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 1.576 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 1.576 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 1.576 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.576 * [taylor]: Taking taylor expansion of 1.0 in N 1.576 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.576 * [taylor]: Taking taylor expansion of N in N 1.576 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.577 * [taylor]: Taking taylor expansion of N in N 1.618 * * * [progress]: simplifying candidates 1.619 * [simplify]: Simplifying using # : (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (* (* (* (+ N 1.0) N) (+ N 1.0)) N) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N)) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N)) (+ (+ (log (cbrt (* (+ N 1.0) N))) (log (cbrt (+ N 1.0)))) (log (cbrt N))) (+ (log (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0)))) (log (cbrt N))) (log (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (exp (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (* (* (* (+ N 1.0) N) (+ N 1.0)) N) (* (* (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0)))) (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0)))) N) (* (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N)))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (* (* (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N)) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (sqrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (sqrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N)))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt (sqrt N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt 1)) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (sqrt (cbrt N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) 1) (* (cbrt (+ N 1.0)) (cbrt N)) (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt N)) (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt N)) (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt N)) (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt N)) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt N)) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt N)) (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ N 1.0))) (cbrt N)) (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (+ N 1.0))) (cbrt N)) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)))) 1.625 * * [simplify]: iteration 0 : 444 enodes (cost 685 ) 1.633 * * [simplify]: iteration 1 : 1657 enodes (cost 644 ) 1.662 * * [simplify]: iteration 2 : 5002 enodes (cost 602 ) 1.665 * [simplify]: Simplified to: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (* (* (* (+ N 1.0) N) (+ N 1.0)) N) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N)) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N)) (log (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (log (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (log (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (exp (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (* (* (* (+ N 1.0) N) (+ N 1.0)) N) (* (pow (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) 3) N) (* (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N)))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (* (pow (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) 3) N) (sqrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (sqrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N)))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt (sqrt N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt 1)) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (sqrt (cbrt N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt N)) (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt N)) (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt N)) (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt N)) (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt N)) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt N)) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt N)) (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ N 1.0))) (cbrt N)) (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (+ N 1.0))) (cbrt N)) (- (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555))) (- (* (/ (* (/ (pow 1.0 1/3) (/ 1.0 N)) (/ (pow N 1/3) (/ 1.0 N))) 1) 1/6) (exp (* 1/3 (+ (log 1.0) (log N)))))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555))) (- (* (/ (* (/ (pow 1.0 1/3) (/ 1.0 N)) (/ (pow N 1/3) (/ 1.0 N))) 1) 1/6) (exp (* 1/3 (+ (log 1.0) (log N)))))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (+ (+ (/ (- (* 0.6666666666666666 (pow N 2))) (* (/ 1.0 (pow 1.0 1/3)) (/ 1.0 (pow N 2/3)))) (* (* (pow N 2/3) (pow 1.0 1/3)) (+ (* 0.5555555555555556 (pow N 2)) (* 0.6666666666666666 N)))) (* (pow N 2/3) (pow 1.0 1/3))) (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)))) 1.666 * * * [progress]: adding candidates to table 1.903 * [progress]: [Phase 3 of 3] Extracting. 1.903 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.905 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.905 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 1.927 * * * [regime]: Found split indices: #