7.422 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.030 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.032 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.033 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.033 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.043 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.044 * * * [progress]: generating series expansions 0.044 * * * * [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 0.045 * [taylor]: Taking taylor expansion of (atan N) in N 0.045 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.045 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.045 * [taylor]: Taking taylor expansion of (atan N) in N 0.049 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.049 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.049 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.049 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.049 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.049 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.049 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.052 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.052 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.052 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.055 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.056 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.056 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.056 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.056 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.057 * * * [progress]: simplifying candidates 0.057 * [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)) 0.061 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.063 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.066 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.071 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.084 * * [simplify]: iteration 4 : 2491 enodes (cost 142 ) 0.133 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.134 * [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)) 0.134 * * * [progress]: adding candidates to table 0.183 * * [progress]: iteration 2 / 4 0.183 * * * [progress]: picking best candidate 0.185 * * * * [pick]: Picked # 0.185 * * * [progress]: localizing error 0.190 * * * [progress]: generating rewritten candidates 0.190 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.191 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.201 * * * [progress]: generating series expansions 0.201 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.201 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.201 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.201 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.202 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.202 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.202 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.203 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.203 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.203 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.203 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.203 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.203 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.203 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.203 * [taylor]: Taking taylor expansion of 1.0 in N 0.203 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [taylor]: Taking taylor expansion of 1.0 in N 0.216 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.216 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.216 * [taylor]: Taking taylor expansion of N in N 0.216 * [taylor]: Taking taylor expansion of 1.0 in N 0.216 * [taylor]: Taking taylor expansion of N in N 0.217 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.217 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.217 * [taylor]: Taking taylor expansion of 1.0 in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.227 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.227 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.227 * [taylor]: Taking taylor expansion of -1 in N 0.227 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.227 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.227 * [taylor]: Taking taylor expansion of 1.0 in N 0.227 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.228 * [taylor]: Taking taylor expansion of N in N 0.228 * [taylor]: Taking taylor expansion of N in N 0.229 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.229 * [taylor]: Taking taylor expansion of -1 in N 0.229 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.229 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.229 * [taylor]: Taking taylor expansion of 1.0 in N 0.229 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.229 * [taylor]: Taking taylor expansion of N in N 0.229 * [taylor]: Taking taylor expansion of N in N 0.249 * * * [progress]: simplifying candidates 0.249 * [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)) 0.253 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.256 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.267 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.306 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.307 * [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) 0.307 * * * [progress]: adding candidates to table 0.360 * * [progress]: iteration 3 / 4 0.360 * * * [progress]: picking best candidate 0.369 * * * * [pick]: Picked # 0.369 * * * [progress]: localizing error 0.379 * * * [progress]: generating rewritten candidates 0.379 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.385 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 0.388 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 0.391 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.403 * * * [progress]: generating series expansions 0.403 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.403 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.403 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.403 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.403 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.403 * [taylor]: Taking taylor expansion of 1/3 in N 0.403 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.403 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.403 * [taylor]: Taking taylor expansion of N in N 0.403 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.403 * [taylor]: Taking taylor expansion of N in N 0.403 * [taylor]: Taking taylor expansion of 1.0 in N 0.407 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.407 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.407 * [taylor]: Taking taylor expansion of 1/3 in N 0.407 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.407 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.407 * [taylor]: Taking taylor expansion of N in N 0.407 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.407 * [taylor]: Taking taylor expansion of N in N 0.407 * [taylor]: Taking taylor expansion of 1.0 in N 0.437 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.438 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.438 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.438 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.438 * [taylor]: Taking taylor expansion of 1/3 in N 0.438 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.438 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.438 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.438 * [taylor]: Taking taylor expansion of N in N 0.438 * [taylor]: Taking taylor expansion of 1.0 in N 0.438 * [taylor]: Taking taylor expansion of N in N 0.439 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.439 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.439 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.439 * [taylor]: Taking taylor expansion of 1/3 in N 0.439 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.439 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.439 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.439 * [taylor]: Taking taylor expansion of N in N 0.440 * [taylor]: Taking taylor expansion of 1.0 in N 0.440 * [taylor]: Taking taylor expansion of N in N 0.461 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.461 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.461 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.461 * [taylor]: Taking taylor expansion of -1 in N 0.462 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.462 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.462 * [taylor]: Taking taylor expansion of 1/3 in N 0.462 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.462 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.462 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.462 * [taylor]: Taking taylor expansion of 1.0 in N 0.462 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.462 * [taylor]: Taking taylor expansion of N in N 0.462 * [taylor]: Taking taylor expansion of N in N 0.465 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.465 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.465 * [taylor]: Taking taylor expansion of -1 in N 0.465 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.465 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.465 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.465 * [taylor]: Taking taylor expansion of 1/3 in N 0.465 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.465 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.465 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.465 * [taylor]: Taking taylor expansion of 1.0 in N 0.466 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.466 * [taylor]: Taking taylor expansion of N in N 0.466 * [taylor]: Taking taylor expansion of N in N 0.504 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 0.504 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.504 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.504 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.504 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.504 * [taylor]: Taking taylor expansion of 1/3 in N 0.504 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.504 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.504 * [taylor]: Taking taylor expansion of N in N 0.504 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.504 * [taylor]: Taking taylor expansion of N in N 0.505 * [taylor]: Taking taylor expansion of 1.0 in N 0.508 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.508 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.508 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.508 * [taylor]: Taking taylor expansion of 1/3 in N 0.508 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.508 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.508 * [taylor]: Taking taylor expansion of N in N 0.508 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.508 * [taylor]: Taking taylor expansion of N in N 0.508 * [taylor]: Taking taylor expansion of 1.0 in N 0.539 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.539 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.539 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.539 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.539 * [taylor]: Taking taylor expansion of 1/3 in N 0.539 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.539 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.539 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.539 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.539 * [taylor]: Taking taylor expansion of N in N 0.539 * [taylor]: Taking taylor expansion of 1.0 in N 0.539 * [taylor]: Taking taylor expansion of N in N 0.540 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.540 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.540 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.540 * [taylor]: Taking taylor expansion of 1/3 in N 0.540 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.540 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.540 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.540 * [taylor]: Taking taylor expansion of N in N 0.541 * [taylor]: Taking taylor expansion of 1.0 in N 0.541 * [taylor]: Taking taylor expansion of N in N 0.568 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.568 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.568 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.568 * [taylor]: Taking taylor expansion of -1 in N 0.569 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.569 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.569 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.569 * [taylor]: Taking taylor expansion of 1/3 in N 0.569 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.569 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.569 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.569 * [taylor]: Taking taylor expansion of 1.0 in N 0.569 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.569 * [taylor]: Taking taylor expansion of N in N 0.569 * [taylor]: Taking taylor expansion of N in N 0.571 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.571 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.571 * [taylor]: Taking taylor expansion of -1 in N 0.572 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.572 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.572 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.572 * [taylor]: Taking taylor expansion of 1/3 in N 0.572 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.572 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.572 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.572 * [taylor]: Taking taylor expansion of 1.0 in N 0.572 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.572 * [taylor]: Taking taylor expansion of N in N 0.572 * [taylor]: Taking taylor expansion of N in N 0.607 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 0.607 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.607 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.607 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.607 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.607 * [taylor]: Taking taylor expansion of 1/3 in N 0.607 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.607 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.607 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.607 * [taylor]: Taking taylor expansion of 1.0 in N 0.610 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.610 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.610 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.610 * [taylor]: Taking taylor expansion of 1/3 in N 0.610 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.610 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.610 * [taylor]: Taking taylor expansion of N in N 0.610 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.610 * [taylor]: Taking taylor expansion of N in N 0.610 * [taylor]: Taking taylor expansion of 1.0 in N 0.641 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.641 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.641 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.641 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.641 * [taylor]: Taking taylor expansion of 1/3 in N 0.641 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.641 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.641 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.641 * [taylor]: Taking taylor expansion of N in N 0.641 * [taylor]: Taking taylor expansion of 1.0 in N 0.641 * [taylor]: Taking taylor expansion of N in N 0.648 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.648 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.648 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.648 * [taylor]: Taking taylor expansion of 1/3 in N 0.648 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.648 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.648 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.648 * [taylor]: Taking taylor expansion of N in N 0.648 * [taylor]: Taking taylor expansion of 1.0 in N 0.648 * [taylor]: Taking taylor expansion of N in N 0.670 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.670 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.670 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.670 * [taylor]: Taking taylor expansion of -1 in N 0.671 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.671 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.671 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.671 * [taylor]: Taking taylor expansion of 1/3 in N 0.671 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.671 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.671 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.671 * [taylor]: Taking taylor expansion of 1.0 in N 0.671 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.671 * [taylor]: Taking taylor expansion of N in N 0.671 * [taylor]: Taking taylor expansion of N in N 0.674 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.674 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.674 * [taylor]: Taking taylor expansion of -1 in N 0.674 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.674 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.674 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.674 * [taylor]: Taking taylor expansion of 1/3 in N 0.674 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.674 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.674 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.674 * [taylor]: Taking taylor expansion of 1.0 in N 0.674 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.674 * [taylor]: Taking taylor expansion of N in N 0.675 * [taylor]: Taking taylor expansion of N in N 0.709 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 0.709 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 0.709 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 0.709 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 0.709 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 0.709 * [taylor]: Taking taylor expansion of 1/3 in N 0.709 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 0.709 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 0.709 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.709 * [taylor]: Taking taylor expansion of N in N 0.709 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.709 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.709 * [taylor]: Taking taylor expansion of N in N 0.709 * [taylor]: Taking taylor expansion of 1.0 in N 0.712 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 0.712 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 0.712 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 0.712 * [taylor]: Taking taylor expansion of 1/3 in N 0.712 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 0.712 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 0.712 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.712 * [taylor]: Taking taylor expansion of N in N 0.712 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.712 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.712 * [taylor]: Taking taylor expansion of N in N 0.712 * [taylor]: Taking taylor expansion of 1.0 in N 0.756 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 0.757 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 0.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 0.757 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 0.757 * [taylor]: Taking taylor expansion of 1/3 in N 0.757 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 0.757 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 0.757 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.757 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.757 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.757 * [taylor]: Taking taylor expansion of N in N 0.757 * [taylor]: Taking taylor expansion of 1.0 in N 0.757 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.757 * [taylor]: Taking taylor expansion of N in N 0.759 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 0.759 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 0.759 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 0.759 * [taylor]: Taking taylor expansion of 1/3 in N 0.759 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 0.759 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 0.759 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.759 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.759 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.759 * [taylor]: Taking taylor expansion of N in N 0.759 * [taylor]: Taking taylor expansion of 1.0 in N 0.759 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.759 * [taylor]: Taking taylor expansion of N in N 0.787 * [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 0.787 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 0.787 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.787 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.787 * [taylor]: Taking taylor expansion of -1 in N 0.788 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 0.788 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 0.788 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 0.788 * [taylor]: Taking taylor expansion of 1/3 in N 0.788 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 0.788 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 0.788 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.788 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.788 * [taylor]: Taking taylor expansion of 1.0 in N 0.788 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.788 * [taylor]: Taking taylor expansion of N in N 0.789 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.789 * [taylor]: Taking taylor expansion of N in N 0.790 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 0.790 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.790 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.790 * [taylor]: Taking taylor expansion of -1 in N 0.791 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 0.791 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 0.791 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 0.791 * [taylor]: Taking taylor expansion of 1/3 in N 0.791 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 0.791 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 0.791 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.791 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.791 * [taylor]: Taking taylor expansion of 1.0 in N 0.791 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.791 * [taylor]: Taking taylor expansion of N in N 0.792 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.792 * [taylor]: Taking taylor expansion of N in N 0.841 * * * [progress]: simplifying candidates 0.842 * [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)))) 0.849 * * [simplify]: iteration 0 : 353 enodes (cost 803 ) 0.856 * * [simplify]: iteration 1 : 1280 enodes (cost 743 ) 0.882 * * [simplify]: iteration 2 : 5001 enodes (cost 669 ) 0.886 * [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)))) 0.886 * * * [progress]: adding candidates to table 1.139 * * [progress]: iteration 4 / 4 1.139 * * * [progress]: picking best candidate 1.150 * * * * [pick]: Picked # 1.150 * * * [progress]: localizing error 1.168 * * * [progress]: generating rewritten candidates 1.168 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.171 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1 1) 1.175 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 1.175 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 1.201 * * * [progress]: generating series expansions 1.201 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.201 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 1.201 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.201 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.201 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.201 * [taylor]: Taking taylor expansion of 1/3 in N 1.201 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.201 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.201 * [taylor]: Taking taylor expansion of N in N 1.201 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.201 * [taylor]: Taking taylor expansion of N in N 1.201 * [taylor]: Taking taylor expansion of 1.0 in N 1.205 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.205 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.205 * [taylor]: Taking taylor expansion of 1/3 in N 1.205 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.205 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.205 * [taylor]: Taking taylor expansion of N in N 1.205 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.205 * [taylor]: Taking taylor expansion of N in N 1.205 * [taylor]: Taking taylor expansion of 1.0 in N 1.237 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 1.237 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.237 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.237 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.237 * [taylor]: Taking taylor expansion of 1/3 in N 1.237 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.237 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.237 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.237 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.237 * [taylor]: Taking taylor expansion of N in N 1.237 * [taylor]: Taking taylor expansion of 1.0 in N 1.237 * [taylor]: Taking taylor expansion of N in N 1.238 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.238 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.238 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.238 * [taylor]: Taking taylor expansion of 1/3 in N 1.238 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.238 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.238 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.238 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.238 * [taylor]: Taking taylor expansion of N in N 1.239 * [taylor]: Taking taylor expansion of 1.0 in N 1.239 * [taylor]: Taking taylor expansion of N in N 1.267 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 1.267 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.267 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.267 * [taylor]: Taking taylor expansion of -1 in N 1.268 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.268 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.268 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.268 * [taylor]: Taking taylor expansion of 1/3 in N 1.268 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.268 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.268 * [taylor]: Taking taylor expansion of 1.0 in N 1.268 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.268 * [taylor]: Taking taylor expansion of N in N 1.268 * [taylor]: Taking taylor expansion of N in N 1.270 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.270 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.270 * [taylor]: Taking taylor expansion of -1 in N 1.271 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.271 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.271 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.271 * [taylor]: Taking taylor expansion of 1/3 in N 1.271 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.271 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.271 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.271 * [taylor]: Taking taylor expansion of 1.0 in N 1.271 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.271 * [taylor]: Taking taylor expansion of N in N 1.272 * [taylor]: Taking taylor expansion of N in N 1.305 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1 1) 1.305 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 1.305 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.305 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.305 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.305 * [taylor]: Taking taylor expansion of 1/3 in N 1.305 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.305 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.305 * [taylor]: Taking taylor expansion of N in N 1.305 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.305 * [taylor]: Taking taylor expansion of N in N 1.305 * [taylor]: Taking taylor expansion of 1.0 in N 1.308 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.308 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.308 * [taylor]: Taking taylor expansion of 1/3 in N 1.308 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.308 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.308 * [taylor]: Taking taylor expansion of N in N 1.309 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.309 * [taylor]: Taking taylor expansion of N in N 1.309 * [taylor]: Taking taylor expansion of 1.0 in N 1.346 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 1.346 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.346 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.346 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.346 * [taylor]: Taking taylor expansion of 1/3 in N 1.346 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.346 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.346 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.346 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.346 * [taylor]: Taking taylor expansion of N in N 1.347 * [taylor]: Taking taylor expansion of 1.0 in N 1.347 * [taylor]: Taking taylor expansion of N in N 1.348 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.348 * [taylor]: Taking taylor expansion of 1/3 in N 1.348 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.348 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.348 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.348 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.348 * [taylor]: Taking taylor expansion of N in N 1.348 * [taylor]: Taking taylor expansion of 1.0 in N 1.348 * [taylor]: Taking taylor expansion of N in N 1.370 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 1.370 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.370 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.370 * [taylor]: Taking taylor expansion of -1 in N 1.371 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.371 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.371 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.371 * [taylor]: Taking taylor expansion of 1/3 in N 1.371 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.371 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.371 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.371 * [taylor]: Taking taylor expansion of 1.0 in N 1.371 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.371 * [taylor]: Taking taylor expansion of N in N 1.371 * [taylor]: Taking taylor expansion of N in N 1.373 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.373 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.373 * [taylor]: Taking taylor expansion of -1 in N 1.374 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.374 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.374 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.374 * [taylor]: Taking taylor expansion of 1/3 in N 1.374 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.374 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.374 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.374 * [taylor]: Taking taylor expansion of 1.0 in N 1.374 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.374 * [taylor]: Taking taylor expansion of N in N 1.374 * [taylor]: Taking taylor expansion of N in N 1.408 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 1.408 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.408 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.408 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.408 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.408 * [taylor]: Taking taylor expansion of 1/3 in N 1.408 * [taylor]: Taking taylor expansion of (log N) in N 1.408 * [taylor]: Taking taylor expansion of N in N 1.409 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.409 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.409 * [taylor]: Taking taylor expansion of 1/3 in N 1.409 * [taylor]: Taking taylor expansion of (log N) in N 1.409 * [taylor]: Taking taylor expansion of N in N 1.464 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.464 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.464 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.464 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.464 * [taylor]: Taking taylor expansion of 1/3 in N 1.464 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.464 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.464 * [taylor]: Taking taylor expansion of N in N 1.465 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.465 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.465 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.465 * [taylor]: Taking taylor expansion of 1/3 in N 1.465 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.465 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.465 * [taylor]: Taking taylor expansion of N in N 1.524 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.524 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.524 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.524 * [taylor]: Taking taylor expansion of -1 in N 1.525 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.525 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.525 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.525 * [taylor]: Taking taylor expansion of 1/3 in N 1.525 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.525 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.525 * [taylor]: Taking taylor expansion of N in N 1.525 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.526 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.526 * [taylor]: Taking taylor expansion of -1 in N 1.526 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.526 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.526 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.526 * [taylor]: Taking taylor expansion of 1/3 in N 1.526 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.526 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.526 * [taylor]: Taking taylor expansion of N in N 1.597 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 1.598 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 1.598 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 1.598 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 1.598 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 1.598 * [taylor]: Taking taylor expansion of 1/3 in N 1.598 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 1.598 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 1.598 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.598 * [taylor]: Taking taylor expansion of N in N 1.598 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 1.598 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.598 * [taylor]: Taking taylor expansion of N in N 1.598 * [taylor]: Taking taylor expansion of 1.0 in N 1.601 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 1.601 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 1.601 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 1.601 * [taylor]: Taking taylor expansion of 1/3 in N 1.601 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 1.601 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 1.601 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.601 * [taylor]: Taking taylor expansion of N in N 1.601 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 1.601 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.601 * [taylor]: Taking taylor expansion of N in N 1.601 * [taylor]: Taking taylor expansion of 1.0 in N 1.639 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 1.639 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 1.641 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 1.641 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 1.641 * [taylor]: Taking taylor expansion of 1/3 in N 1.641 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 1.641 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 1.641 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 1.641 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.641 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.641 * [taylor]: Taking taylor expansion of N in N 1.641 * [taylor]: Taking taylor expansion of 1.0 in N 1.641 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.641 * [taylor]: Taking taylor expansion of N in N 1.643 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 1.643 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 1.643 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 1.643 * [taylor]: Taking taylor expansion of 1/3 in N 1.643 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 1.643 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 1.643 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 1.643 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.643 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.643 * [taylor]: Taking taylor expansion of N in N 1.643 * [taylor]: Taking taylor expansion of 1.0 in N 1.643 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.643 * [taylor]: Taking taylor expansion of N in N 1.678 * [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 1.678 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 1.678 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.678 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.678 * [taylor]: Taking taylor expansion of -1 in N 1.679 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 1.679 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 1.679 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 1.679 * [taylor]: Taking taylor expansion of 1/3 in N 1.679 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 1.679 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 1.679 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 1.679 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.679 * [taylor]: Taking taylor expansion of 1.0 in N 1.679 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.679 * [taylor]: Taking taylor expansion of N in N 1.680 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.680 * [taylor]: Taking taylor expansion of N in N 1.682 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 1.682 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.682 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.682 * [taylor]: Taking taylor expansion of -1 in N 1.682 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 1.682 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 1.682 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 1.682 * [taylor]: Taking taylor expansion of 1/3 in N 1.682 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 1.682 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 1.682 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 1.682 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.682 * [taylor]: Taking taylor expansion of 1.0 in N 1.683 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.683 * [taylor]: Taking taylor expansion of N in N 1.683 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.683 * [taylor]: Taking taylor expansion of N in N 1.726 * * * [progress]: simplifying candidates 1.728 * [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)))) 1.734 * * [simplify]: iteration 0 : 444 enodes (cost 685 ) 1.743 * * [simplify]: iteration 1 : 1657 enodes (cost 644 ) 1.772 * * [simplify]: iteration 2 : 5002 enodes (cost 602 ) 1.775 * [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)))) 1.776 * * * [progress]: adding candidates to table 2.057 * [progress]: [Phase 3 of 3] Extracting. 2.058 * * [regime]: Finding splitpoints for: (# # # # # #) 2.059 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N) 2.059 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (# # # # # #) 2.086 * * * * [regimes]: Trying to branch on N from (# # # # # #) 2.108 * * * [regime]: Found split indices: #