7.829 * [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. 0.027 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.029 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.031 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.032 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.032 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.042 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.043 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.043 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.043 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.044 * [taylor]: Taking taylor expansion of (atan N) in N 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 0.048 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.048 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.048 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.048 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.048 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.048 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.048 * [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) 0.055 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.055 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.055 * [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 0.056 * * * [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)) 0.060 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.062 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.065 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.069 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.082 * * [simplify]: iteration 4 : 2491 enodes (cost 142 ) 0.131 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.132 * [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)) 0.132 * * * [progress]: adding candidates to table 0.181 * * [progress]: iteration 2 / 4 0.181 * * * [progress]: picking best candidate 0.183 * * * * [pick]: Picked # 0.183 * * * [progress]: localizing error 0.189 * * * [progress]: generating rewritten candidates 0.189 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.189 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.200 * * * [progress]: generating series expansions 0.200 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.200 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.200 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.200 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.201 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.201 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.201 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.201 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.201 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.202 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.202 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.202 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.202 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.202 * [taylor]: Taking taylor expansion of N in N 0.202 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.202 * [taylor]: Taking taylor expansion of N in N 0.202 * [taylor]: Taking taylor expansion of 1.0 in N 0.202 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.202 * [taylor]: Taking taylor expansion of N in N 0.202 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.202 * [taylor]: Taking taylor expansion of N in N 0.202 * [taylor]: Taking taylor expansion of 1.0 in N 0.212 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.212 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.212 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.212 * [taylor]: Taking taylor expansion of N in N 0.213 * [taylor]: Taking taylor expansion of 1.0 in N 0.213 * [taylor]: Taking taylor expansion of N in N 0.213 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.213 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.213 * [taylor]: Taking taylor expansion of N in N 0.213 * [taylor]: Taking taylor expansion of 1.0 in N 0.213 * [taylor]: Taking taylor expansion of N in N 0.224 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.224 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.224 * [taylor]: Taking taylor expansion of -1 in N 0.224 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.224 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.224 * [taylor]: Taking taylor expansion of 1.0 in N 0.224 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.228 * [taylor]: Taking taylor expansion of N in N 0.229 * [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 0.230 * [taylor]: Taking taylor expansion of 1.0 in N 0.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.230 * [taylor]: Taking taylor expansion of N in N 0.230 * [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)) 0.252 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.255 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.265 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.302 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.303 * [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) 0.303 * * * [progress]: adding candidates to table 0.356 * * [progress]: iteration 3 / 4 0.356 * * * [progress]: picking best candidate 0.363 * * * * [pick]: Picked # 0.364 * * * [progress]: localizing error 0.373 * * * [progress]: generating rewritten candidates 0.373 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.376 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 0.380 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 0.383 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.393 * * * [progress]: generating series expansions 0.394 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.394 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.394 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.394 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.394 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.394 * [taylor]: Taking taylor expansion of 1/3 in N 0.394 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.394 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.394 * [taylor]: Taking taylor expansion of N in N 0.394 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.394 * [taylor]: Taking taylor expansion of N in N 0.394 * [taylor]: Taking taylor expansion of 1.0 in N 0.397 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.397 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.397 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.397 * [taylor]: Taking taylor expansion of 1/3 in N 0.397 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.397 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.397 * [taylor]: Taking taylor expansion of N in N 0.397 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.397 * [taylor]: Taking taylor expansion of N in N 0.397 * [taylor]: Taking taylor expansion of 1.0 in N 0.433 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.433 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.433 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.433 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.433 * [taylor]: Taking taylor expansion of 1/3 in N 0.433 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.433 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.433 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.433 * [taylor]: Taking taylor expansion of N in N 0.434 * [taylor]: Taking taylor expansion of 1.0 in N 0.434 * [taylor]: Taking taylor expansion of N in N 0.435 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.435 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.435 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.435 * [taylor]: Taking taylor expansion of 1/3 in N 0.435 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.435 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.435 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.435 * [taylor]: Taking taylor expansion of N in N 0.435 * [taylor]: Taking taylor expansion of 1.0 in N 0.435 * [taylor]: Taking taylor expansion of N in N 0.457 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.457 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.457 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.457 * [taylor]: Taking taylor expansion of -1 in N 0.458 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.458 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.458 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.458 * [taylor]: Taking taylor expansion of 1/3 in N 0.458 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.458 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.458 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.458 * [taylor]: Taking taylor expansion of 1.0 in N 0.458 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.458 * [taylor]: Taking taylor expansion of N in N 0.458 * [taylor]: Taking taylor expansion of N in N 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 0.461 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.461 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.461 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.461 * [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 0.502 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 0.502 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.502 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.502 * [taylor]: Taking taylor expansion of 1/3 in N 0.502 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.502 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.502 * [taylor]: Taking taylor expansion of N in N 0.502 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.502 * [taylor]: Taking taylor expansion of N in N 0.502 * [taylor]: Taking taylor expansion of 1.0 in N 0.505 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.505 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.505 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.505 * [taylor]: Taking taylor expansion of 1/3 in N 0.505 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.505 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.505 * [taylor]: Taking taylor expansion of N in N 0.506 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.506 * [taylor]: Taking taylor expansion of N in N 0.506 * [taylor]: Taking taylor expansion of 1.0 in N 0.536 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.536 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.536 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.536 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.536 * [taylor]: Taking taylor expansion of 1/3 in N 0.536 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.536 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.536 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.536 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.536 * [taylor]: Taking taylor expansion of N in N 0.536 * [taylor]: Taking taylor expansion of 1.0 in N 0.536 * [taylor]: Taking taylor expansion of N in N 0.537 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.537 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.537 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.537 * [taylor]: Taking taylor expansion of 1/3 in N 0.537 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.537 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.537 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.538 * [taylor]: Taking taylor expansion of 1.0 in N 0.538 * [taylor]: Taking taylor expansion of N in N 0.560 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.560 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.560 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.560 * [taylor]: Taking taylor expansion of -1 in N 0.561 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.561 * [taylor]: Taking taylor expansion of 1/3 in N 0.561 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.561 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.561 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.561 * [taylor]: Taking taylor expansion of 1.0 in N 0.561 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.561 * [taylor]: Taking taylor expansion of N in N 0.561 * [taylor]: Taking taylor expansion of N in N 0.563 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.564 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.564 * [taylor]: Taking taylor expansion of -1 in N 0.564 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.564 * [taylor]: Taking taylor expansion of 1/3 in N 0.564 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.564 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.564 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.564 * [taylor]: Taking taylor expansion of 1.0 in N 0.564 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.564 * [taylor]: Taking taylor expansion of N in N 0.565 * [taylor]: Taking taylor expansion of N in N 0.605 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 0.606 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.606 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.606 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.606 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.606 * [taylor]: Taking taylor expansion of 1/3 in N 0.606 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.606 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.606 * [taylor]: Taking taylor expansion of N in N 0.606 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.606 * [taylor]: Taking taylor expansion of N in N 0.606 * [taylor]: Taking taylor expansion of 1.0 in N 0.609 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.609 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.609 * [taylor]: Taking taylor expansion of 1/3 in N 0.609 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.609 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.609 * [taylor]: Taking taylor expansion of N in N 0.609 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.609 * [taylor]: Taking taylor expansion of N in N 0.609 * [taylor]: Taking taylor expansion of 1.0 in N 0.640 * [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 0.642 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.642 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.642 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.642 * [taylor]: Taking taylor expansion of 1/3 in N 0.642 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.642 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.642 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.642 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.642 * [taylor]: Taking taylor expansion of N in N 0.643 * [taylor]: Taking taylor expansion of 1.0 in N 0.643 * [taylor]: Taking taylor expansion of N in N 0.664 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.664 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.664 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.664 * [taylor]: Taking taylor expansion of -1 in N 0.672 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.672 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.672 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.672 * [taylor]: Taking taylor expansion of 1/3 in N 0.672 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.672 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.672 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.672 * [taylor]: Taking taylor expansion of 1.0 in N 0.672 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.672 * [taylor]: Taking taylor expansion of N in N 0.672 * [taylor]: Taking taylor expansion of N in N 0.675 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.675 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.675 * [taylor]: Taking taylor expansion of -1 in N 0.675 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.675 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.675 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.675 * [taylor]: Taking taylor expansion of 1/3 in N 0.676 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.676 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.676 * [taylor]: Taking taylor expansion of 1.0 in N 0.676 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.676 * [taylor]: Taking taylor expansion of N in N 0.676 * [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 0.749 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 0.750 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 0.750 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 0.750 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 0.750 * [taylor]: Taking taylor expansion of 1/3 in N 0.750 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 0.750 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 0.750 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.750 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.750 * [taylor]: Taking taylor expansion of N in N 0.750 * [taylor]: Taking taylor expansion of 1.0 in N 0.750 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.750 * [taylor]: Taking taylor expansion of N in N 0.752 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 0.752 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 0.752 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 0.752 * [taylor]: Taking taylor expansion of 1/3 in N 0.752 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 0.752 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 0.752 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.752 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.752 * [taylor]: Taking taylor expansion of N in N 0.752 * [taylor]: Taking taylor expansion of 1.0 in N 0.752 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.752 * [taylor]: Taking taylor expansion of N in N 0.786 * [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 0.787 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 0.787 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 0.787 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 0.787 * [taylor]: Taking taylor expansion of 1/3 in N 0.787 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 0.787 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 0.787 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.787 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.787 * [taylor]: Taking taylor expansion of 1.0 in N 0.787 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.787 * [taylor]: Taking taylor expansion of N in N 0.788 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.788 * [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 0.790 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 0.790 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 0.790 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 0.790 * [taylor]: Taking taylor expansion of 1/3 in N 0.790 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 0.790 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 0.790 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.790 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.790 * [taylor]: Taking taylor expansion of 1.0 in N 0.790 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.790 * [taylor]: Taking taylor expansion of N in N 0.791 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.791 * [taylor]: Taking taylor expansion of N in N 0.832 * * * [progress]: simplifying candidates 0.833 * [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)))) 0.839 * * [simplify]: iteration 0 : 353 enodes (cost 803 ) 0.846 * * [simplify]: iteration 1 : 1280 enodes (cost 743 ) 0.870 * * [simplify]: iteration 2 : 5001 enodes (cost 669 ) 0.879 * [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)))) 0.879 * * * [progress]: adding candidates to table 1.115 * * [progress]: iteration 4 / 4 1.116 * * * [progress]: picking best candidate 1.124 * * * * [pick]: Picked # 1.124 * * * [progress]: localizing error 1.138 * * * [progress]: generating rewritten candidates 1.138 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.141 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2 1) 1.144 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1 2 1) 1.147 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 1 1 1) 1.152 * * * [progress]: generating series expansions 1.152 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.152 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 1.152 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.152 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.152 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.152 * [taylor]: Taking taylor expansion of 1/3 in N 1.152 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.152 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.152 * [taylor]: Taking taylor expansion of N in N 1.152 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.152 * [taylor]: Taking taylor expansion of N in N 1.152 * [taylor]: Taking taylor expansion of 1.0 in N 1.156 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.156 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.156 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.156 * [taylor]: Taking taylor expansion of 1/3 in N 1.156 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.156 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.156 * [taylor]: Taking taylor expansion of N in N 1.156 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.156 * [taylor]: Taking taylor expansion of N in N 1.156 * [taylor]: Taking taylor expansion of 1.0 in N 1.192 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 1.192 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.192 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.192 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.192 * [taylor]: Taking taylor expansion of 1/3 in N 1.192 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.192 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.192 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.192 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.192 * [taylor]: Taking taylor expansion of N in N 1.192 * [taylor]: Taking taylor expansion of 1.0 in N 1.192 * [taylor]: Taking taylor expansion of N in N 1.194 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.194 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.194 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.194 * [taylor]: Taking taylor expansion of 1/3 in N 1.194 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.194 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.194 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.194 * [taylor]: Taking taylor expansion of N in N 1.194 * [taylor]: Taking taylor expansion of 1.0 in N 1.194 * [taylor]: Taking taylor expansion of N in N 1.216 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 1.216 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.216 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.216 * [taylor]: Taking taylor expansion of -1 in N 1.217 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.217 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.217 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.217 * [taylor]: Taking taylor expansion of 1/3 in N 1.217 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.217 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.217 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.217 * [taylor]: Taking taylor expansion of 1.0 in N 1.217 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.217 * [taylor]: Taking taylor expansion of N in N 1.218 * [taylor]: Taking taylor expansion of N in N 1.220 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.220 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.220 * [taylor]: Taking taylor expansion of -1 in N 1.221 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.221 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.221 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.221 * [taylor]: Taking taylor expansion of 1/3 in N 1.221 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.221 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.221 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.221 * [taylor]: Taking taylor expansion of 1.0 in N 1.221 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.221 * [taylor]: Taking taylor expansion of N in N 1.221 * [taylor]: Taking taylor expansion of N in N 1.261 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2 1) 1.262 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 1.262 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.262 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.262 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.262 * [taylor]: Taking taylor expansion of 1/3 in N 1.262 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.262 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.262 * [taylor]: Taking taylor expansion of N in N 1.262 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.262 * [taylor]: Taking taylor expansion of N in N 1.262 * [taylor]: Taking taylor expansion of 1.0 in N 1.265 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.265 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.265 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.265 * [taylor]: Taking taylor expansion of 1/3 in N 1.265 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.265 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.265 * [taylor]: Taking taylor expansion of N in N 1.265 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.265 * [taylor]: Taking taylor expansion of N in N 1.265 * [taylor]: Taking taylor expansion of 1.0 in N 1.296 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 1.296 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.296 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.296 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.296 * [taylor]: Taking taylor expansion of 1/3 in N 1.296 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.296 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.296 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.296 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.296 * [taylor]: Taking taylor expansion of N in N 1.296 * [taylor]: Taking taylor expansion of 1.0 in N 1.296 * [taylor]: Taking taylor expansion of N in N 1.297 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.297 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.297 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.297 * [taylor]: Taking taylor expansion of 1/3 in N 1.297 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.297 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.297 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.297 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.297 * [taylor]: Taking taylor expansion of N in N 1.298 * [taylor]: Taking taylor expansion of 1.0 in N 1.298 * [taylor]: Taking taylor expansion of N in N 1.319 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 1.319 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.319 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.319 * [taylor]: Taking taylor expansion of -1 in N 1.320 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.320 * [taylor]: Taking taylor expansion of 1/3 in N 1.320 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.320 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.320 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.320 * [taylor]: Taking taylor expansion of 1.0 in N 1.320 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.320 * [taylor]: Taking taylor expansion of N in N 1.320 * [taylor]: Taking taylor expansion of N in N 1.322 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.322 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.322 * [taylor]: Taking taylor expansion of -1 in N 1.323 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.323 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.323 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.323 * [taylor]: Taking taylor expansion of 1/3 in N 1.323 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.323 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.323 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.323 * [taylor]: Taking taylor expansion of 1.0 in N 1.323 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.323 * [taylor]: Taking taylor expansion of N in N 1.324 * [taylor]: Taking taylor expansion of N in N 1.362 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1 2 1) 1.362 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 1.362 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.362 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.362 * [taylor]: Taking taylor expansion of 1/3 in N 1.362 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.362 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.362 * [taylor]: Taking taylor expansion of N in N 1.362 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.362 * [taylor]: Taking taylor expansion of N in N 1.362 * [taylor]: Taking taylor expansion of 1.0 in N 1.365 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.365 * [taylor]: Taking taylor expansion of 1/3 in N 1.365 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.365 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.365 * [taylor]: Taking taylor expansion of N in N 1.365 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.365 * [taylor]: Taking taylor expansion of N in N 1.365 * [taylor]: Taking taylor expansion of 1.0 in N 1.396 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 1.396 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.396 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.396 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.396 * [taylor]: Taking taylor expansion of 1/3 in N 1.396 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.396 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.396 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.396 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.396 * [taylor]: Taking taylor expansion of N in N 1.396 * [taylor]: Taking taylor expansion of 1.0 in N 1.396 * [taylor]: Taking taylor expansion of N in N 1.397 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.397 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.397 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.397 * [taylor]: Taking taylor expansion of 1/3 in N 1.397 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.397 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.397 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.397 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.397 * [taylor]: Taking taylor expansion of N in N 1.398 * [taylor]: Taking taylor expansion of 1.0 in N 1.398 * [taylor]: Taking taylor expansion of N in N 1.419 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 1.419 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.419 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.419 * [taylor]: Taking taylor expansion of -1 in N 1.419 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.419 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.419 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.419 * [taylor]: Taking taylor expansion of 1/3 in N 1.419 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.419 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.419 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.420 * [taylor]: Taking taylor expansion of 1.0 in N 1.420 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.420 * [taylor]: Taking taylor expansion of N in N 1.420 * [taylor]: Taking taylor expansion of N in N 1.422 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.422 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.422 * [taylor]: Taking taylor expansion of -1 in N 1.423 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.423 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.423 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.423 * [taylor]: Taking taylor expansion of 1/3 in N 1.423 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.423 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.423 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.423 * [taylor]: Taking taylor expansion of 1.0 in N 1.423 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.423 * [taylor]: Taking taylor expansion of N in N 1.423 * [taylor]: Taking taylor expansion of N in N 1.462 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 1 1 1) 1.462 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 1.462 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.462 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.462 * [taylor]: Taking taylor expansion of 1/3 in N 1.462 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.462 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.462 * [taylor]: Taking taylor expansion of N in N 1.462 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.462 * [taylor]: Taking taylor expansion of N in N 1.462 * [taylor]: Taking taylor expansion of 1.0 in N 1.465 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.465 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.466 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.466 * [taylor]: Taking taylor expansion of 1/3 in N 1.466 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.466 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.466 * [taylor]: Taking taylor expansion of N in N 1.466 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.466 * [taylor]: Taking taylor expansion of N in N 1.466 * [taylor]: Taking taylor expansion of 1.0 in N 1.496 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 1.496 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.496 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.496 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.496 * [taylor]: Taking taylor expansion of 1/3 in N 1.496 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.496 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.496 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.496 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.496 * [taylor]: Taking taylor expansion of N in N 1.496 * [taylor]: Taking taylor expansion of 1.0 in N 1.496 * [taylor]: Taking taylor expansion of N in N 1.498 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.498 * [taylor]: Taking taylor expansion of 1/3 in N 1.498 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.498 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.498 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.498 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.498 * [taylor]: Taking taylor expansion of N in N 1.498 * [taylor]: Taking taylor expansion of 1.0 in N 1.498 * [taylor]: Taking taylor expansion of N in N 1.525 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 1.525 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.525 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.525 * [taylor]: Taking taylor expansion of -1 in N 1.526 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.526 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.526 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.526 * [taylor]: Taking taylor expansion of 1/3 in N 1.526 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.526 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.526 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.526 * [taylor]: Taking taylor expansion of 1.0 in N 1.526 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.526 * [taylor]: Taking taylor expansion of N in N 1.527 * [taylor]: Taking taylor expansion of N in N 1.529 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.529 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.529 * [taylor]: Taking taylor expansion of -1 in N 1.529 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.529 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.529 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.529 * [taylor]: Taking taylor expansion of 1/3 in N 1.529 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.529 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.530 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.530 * [taylor]: Taking taylor expansion of 1.0 in N 1.530 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.530 * [taylor]: Taking taylor expansion of N in N 1.530 * [taylor]: Taking taylor expansion of N in N 1.563 * * * [progress]: simplifying candidates 1.564 * [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))) (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))) (- (+ (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)))) (- (+ (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)))) 1.569 * * [simplify]: iteration 0 : 190 enodes (cost 556 ) 1.572 * * [simplify]: iteration 1 : 580 enodes (cost 528 ) 1.583 * * [simplify]: iteration 2 : 2211 enodes (cost 472 ) 1.628 * * [simplify]: iteration 3 : 5001 enodes (cost 472 ) 1.631 * [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))) (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))) (- (* (* (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)))) (- (* (* (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)))) 1.631 * * * [progress]: adding candidates to table 1.872 * [progress]: [Phase 3 of 3] Extracting. 1.872 * * [regime]: Finding splitpoints for: (# # # # # #) 1.874 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.874 * * * * [regimes]: Trying to branch on N from (# # # # # #) 1.898 * * * [regime]: Found split indices: #