10.548 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.031 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.033 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.034 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.034 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.042 * * * [progress]: generating rewritten candidates 0.042 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.046 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.047 * * * [progress]: generating series expansions 0.047 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.047 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.047 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.047 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.048 * [taylor]: Taking taylor expansion of (atan N) in N 0.048 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.049 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.049 * [taylor]: Taking taylor expansion of (atan N) in N 0.052 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.052 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.052 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.056 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.056 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.059 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.059 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.059 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.059 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.059 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.059 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.059 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.060 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.060 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.060 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.060 * * * [progress]: simplifying candidates 0.060 * [simplify]: Simplifying using # : (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.064 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.066 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.069 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.073 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.087 * * [simplify]: iteration 4 : 2491 enodes (cost 142 ) 0.137 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.139 * [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)) 0.139 * * * [progress]: adding candidates to table 0.191 * * [progress]: iteration 2 / 4 0.191 * * * [progress]: picking best candidate 0.192 * * * * [pick]: Picked # 0.192 * * * [progress]: localizing error 0.199 * * * [progress]: generating rewritten candidates 0.199 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.200 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.206 * * * [progress]: generating series expansions 0.206 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.206 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.206 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.207 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.207 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.207 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.207 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.208 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.208 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.208 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.209 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.209 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.209 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [taylor]: Taking taylor expansion of 1.0 in N 0.209 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [taylor]: Taking taylor expansion of 1.0 in N 0.218 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.218 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.219 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.219 * [taylor]: Taking taylor expansion of 1.0 in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.219 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.219 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.220 * [taylor]: Taking taylor expansion of 1.0 in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.234 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.234 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.234 * [taylor]: Taking taylor expansion of -1 in N 0.234 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.234 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.234 * [taylor]: Taking taylor expansion of 1.0 in N 0.234 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.234 * [taylor]: Taking taylor expansion of N in N 0.234 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.235 * [taylor]: Taking taylor expansion of -1 in N 0.235 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.235 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.235 * [taylor]: Taking taylor expansion of 1.0 in N 0.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.254 * * * [progress]: simplifying candidates 0.255 * [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)) 0.258 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.261 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.270 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.308 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.309 * [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) 0.309 * * * [progress]: adding candidates to table 0.361 * * [progress]: iteration 3 / 4 0.361 * * * [progress]: picking best candidate 0.370 * * * * [pick]: Picked # 0.370 * * * [progress]: localizing error 0.380 * * * [progress]: generating rewritten candidates 0.380 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.385 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 0.390 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 0.394 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.405 * * * [progress]: generating series expansions 0.406 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.406 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.406 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.406 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.406 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.406 * [taylor]: Taking taylor expansion of 1/3 in N 0.406 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.406 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.406 * [taylor]: Taking taylor expansion of N in N 0.406 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.406 * [taylor]: Taking taylor expansion of N in N 0.406 * [taylor]: Taking taylor expansion of 1.0 in N 0.409 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.410 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.410 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.410 * [taylor]: Taking taylor expansion of 1/3 in N 0.410 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.410 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.410 * [taylor]: Taking taylor expansion of N in N 0.410 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.410 * [taylor]: Taking taylor expansion of N in N 0.410 * [taylor]: Taking taylor expansion of 1.0 in N 0.439 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 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 0.441 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.441 * [taylor]: Taking taylor expansion of 1/3 in N 0.441 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.441 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.441 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.441 * [taylor]: Taking taylor expansion of N in N 0.441 * [taylor]: Taking taylor expansion of 1.0 in N 0.441 * [taylor]: Taking taylor expansion of N in N 0.462 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.462 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.462 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.462 * [taylor]: Taking taylor expansion of -1 in N 0.463 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.463 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.463 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.463 * [taylor]: Taking taylor expansion of 1/3 in N 0.463 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.463 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.463 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.463 * [taylor]: Taking taylor expansion of 1.0 in N 0.463 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.463 * [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 0.466 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.466 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.466 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.466 * [taylor]: Taking taylor expansion of 1/3 in N 0.466 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.466 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.466 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.466 * [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 0.504 * [taylor]: Taking taylor expansion of 1.0 in N 0.507 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.507 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.507 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.507 * [taylor]: Taking taylor expansion of 1/3 in N 0.507 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.507 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.507 * [taylor]: Taking taylor expansion of N in N 0.507 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.507 * [taylor]: Taking taylor expansion of N in N 0.507 * [taylor]: Taking taylor expansion of 1.0 in N 0.537 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 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 0.537 * [taylor]: Taking taylor expansion of 1.0 in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.538 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.538 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.538 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.538 * [taylor]: Taking taylor expansion of 1/3 in N 0.538 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.538 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.538 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.538 * [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 0.559 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.559 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.559 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.559 * [taylor]: Taking taylor expansion of -1 in N 0.560 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.560 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.560 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.560 * [taylor]: Taking taylor expansion of 1/3 in N 0.560 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.560 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.560 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.560 * [taylor]: Taking taylor expansion of 1.0 in N 0.560 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.560 * [taylor]: Taking taylor expansion of N in N 0.560 * [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 0.563 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.563 * [taylor]: Taking taylor expansion of -1 in N 0.563 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.563 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.563 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.563 * [taylor]: Taking taylor expansion of 1/3 in N 0.563 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.563 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.563 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.563 * [taylor]: Taking taylor expansion of 1.0 in N 0.563 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.563 * [taylor]: Taking taylor expansion of N in N 0.564 * [taylor]: Taking taylor expansion of N in N 0.601 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 0.601 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.601 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.601 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.601 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.601 * [taylor]: Taking taylor expansion of 1/3 in N 0.601 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.601 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.601 * [taylor]: Taking taylor expansion of N in N 0.601 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.601 * [taylor]: Taking taylor expansion of N in N 0.601 * [taylor]: Taking taylor expansion of 1.0 in N 0.604 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.604 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.604 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.604 * [taylor]: Taking taylor expansion of 1/3 in N 0.604 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.604 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [taylor]: Taking taylor expansion of 1.0 in N 0.633 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.633 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.633 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.633 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.633 * [taylor]: Taking taylor expansion of 1/3 in N 0.633 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.633 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.633 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.633 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.633 * [taylor]: Taking taylor expansion of N in N 0.634 * [taylor]: Taking taylor expansion of 1.0 in N 0.634 * [taylor]: Taking taylor expansion of N in N 0.635 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.635 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.635 * [taylor]: Taking taylor expansion of 1/3 in N 0.635 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.635 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.635 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.635 * [taylor]: Taking taylor expansion of N in N 0.635 * [taylor]: Taking taylor expansion of 1.0 in N 0.635 * [taylor]: Taking taylor expansion of N in N 0.662 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.662 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.662 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.662 * [taylor]: Taking taylor expansion of -1 in N 0.662 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.662 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.663 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.663 * [taylor]: Taking taylor expansion of 1/3 in N 0.663 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.663 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.663 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.663 * [taylor]: Taking taylor expansion of 1.0 in N 0.663 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.663 * [taylor]: Taking taylor expansion of N in N 0.663 * [taylor]: Taking taylor expansion of N in N 0.665 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.665 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.665 * [taylor]: Taking taylor expansion of -1 in N 0.666 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.666 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.666 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.666 * [taylor]: Taking taylor expansion of 1/3 in N 0.666 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.666 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.666 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.666 * [taylor]: Taking taylor expansion of 1.0 in N 0.666 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.666 * [taylor]: Taking taylor expansion of N in N 0.666 * [taylor]: Taking taylor expansion of N in N 0.698 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 0.698 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 0.698 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 0.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 0.698 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 0.698 * [taylor]: Taking taylor expansion of 1/3 in N 0.698 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 0.698 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 0.698 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.698 * [taylor]: Taking taylor expansion of N in N 0.698 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.698 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.698 * [taylor]: Taking taylor expansion of N in N 0.698 * [taylor]: Taking taylor expansion of 1.0 in N 0.701 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 0.701 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 0.701 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 0.701 * [taylor]: Taking taylor expansion of 1/3 in N 0.701 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 0.701 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 0.701 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.701 * [taylor]: Taking taylor expansion of N in N 0.701 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.701 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.701 * [taylor]: Taking taylor expansion of N in N 0.701 * [taylor]: Taking taylor expansion of 1.0 in N 0.745 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 0.745 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 0.745 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 0.745 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 0.745 * [taylor]: Taking taylor expansion of 1/3 in N 0.745 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 0.745 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 0.745 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.745 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.745 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.745 * [taylor]: Taking taylor expansion of N in N 0.745 * [taylor]: Taking taylor expansion of 1.0 in N 0.746 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.746 * [taylor]: Taking taylor expansion of N in N 0.747 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 0.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 0.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 0.747 * [taylor]: Taking taylor expansion of 1/3 in N 0.747 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 0.747 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 0.747 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.747 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.747 * [taylor]: Taking taylor expansion of N in N 0.747 * [taylor]: Taking taylor expansion of 1.0 in N 0.748 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.748 * [taylor]: Taking taylor expansion of N in N 0.775 * [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 0.775 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 0.775 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.775 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.775 * [taylor]: Taking taylor expansion of -1 in N 0.776 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 0.776 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 0.776 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 0.776 * [taylor]: Taking taylor expansion of 1/3 in N 0.776 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 0.776 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 0.776 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.776 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.776 * [taylor]: Taking taylor expansion of 1.0 in N 0.776 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.776 * [taylor]: Taking taylor expansion of N in N 0.777 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.777 * [taylor]: Taking taylor expansion of N in N 0.778 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 0.778 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.778 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.778 * [taylor]: Taking taylor expansion of -1 in N 0.779 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 0.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 0.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 0.779 * [taylor]: Taking taylor expansion of 1/3 in N 0.779 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 0.779 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 0.779 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.779 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.779 * [taylor]: Taking taylor expansion of 1.0 in N 0.779 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.779 * [taylor]: Taking taylor expansion of N in N 0.780 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.780 * [taylor]: Taking taylor expansion of N in N 0.820 * * * [progress]: simplifying candidates 0.821 * [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)))) 0.833 * * [simplify]: iteration 0 : 353 enodes (cost 803 ) 0.839 * * [simplify]: iteration 1 : 1280 enodes (cost 743 ) 0.865 * * [simplify]: iteration 2 : 5001 enodes (cost 669 ) 0.869 * [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)))) 0.870 * * * [progress]: adding candidates to table 1.110 * * [progress]: iteration 4 / 4 1.110 * * * [progress]: picking best candidate 1.118 * * * * [pick]: Picked # 1.118 * * * [progress]: localizing error 1.132 * * * [progress]: generating rewritten candidates 1.132 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 2 1) 1.136 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 2 1) 1.141 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 1 1) 1.146 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 1.151 * * * [progress]: generating series expansions 1.151 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 2 1) 1.151 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 1.151 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.151 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.151 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.151 * [taylor]: Taking taylor expansion of 1/3 in N 1.151 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.151 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.151 * [taylor]: Taking taylor expansion of N in N 1.151 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.151 * [taylor]: Taking taylor expansion of N in N 1.151 * [taylor]: Taking taylor expansion of 1.0 in N 1.155 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.155 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.155 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.155 * [taylor]: Taking taylor expansion of 1/3 in N 1.155 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.155 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.155 * [taylor]: Taking taylor expansion of N in N 1.155 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.155 * [taylor]: Taking taylor expansion of N in N 1.155 * [taylor]: Taking taylor expansion of 1.0 in N 1.188 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 1.188 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.188 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.188 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.188 * [taylor]: Taking taylor expansion of 1/3 in N 1.188 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.188 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.188 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.188 * [taylor]: Taking taylor expansion of N in N 1.188 * [taylor]: Taking taylor expansion of 1.0 in N 1.188 * [taylor]: Taking taylor expansion of N in N 1.189 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.189 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.189 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.189 * [taylor]: Taking taylor expansion of 1/3 in N 1.189 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.189 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.189 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.190 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.190 * [taylor]: Taking taylor expansion of N in N 1.190 * [taylor]: Taking taylor expansion of 1.0 in N 1.190 * [taylor]: Taking taylor expansion of N in N 1.210 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 1.210 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.210 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.210 * [taylor]: Taking taylor expansion of -1 in N 1.211 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.211 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.211 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.211 * [taylor]: Taking taylor expansion of 1/3 in N 1.211 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.211 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.211 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.211 * [taylor]: Taking taylor expansion of 1.0 in N 1.211 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.211 * [taylor]: Taking taylor expansion of N in N 1.211 * [taylor]: Taking taylor expansion of N in N 1.213 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.213 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.213 * [taylor]: Taking taylor expansion of -1 in N 1.214 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.214 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.214 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.214 * [taylor]: Taking taylor expansion of 1/3 in N 1.214 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.214 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.214 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.214 * [taylor]: Taking taylor expansion of 1.0 in N 1.214 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.214 * [taylor]: Taking taylor expansion of N in N 1.214 * [taylor]: Taking taylor expansion of N in N 1.252 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 2 1) 1.252 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 1.252 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.252 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.252 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.252 * [taylor]: Taking taylor expansion of 1/3 in N 1.252 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.252 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.252 * [taylor]: Taking taylor expansion of N in N 1.252 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.252 * [taylor]: Taking taylor expansion of N in N 1.253 * [taylor]: Taking taylor expansion of 1.0 in N 1.255 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.255 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.255 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.256 * [taylor]: Taking taylor expansion of 1/3 in N 1.256 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.256 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.256 * [taylor]: Taking taylor expansion of N in N 1.256 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.256 * [taylor]: Taking taylor expansion of N in N 1.256 * [taylor]: Taking taylor expansion of 1.0 in N 1.285 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 1.285 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.285 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.285 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.285 * [taylor]: Taking taylor expansion of 1/3 in N 1.285 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.285 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.285 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.285 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.285 * [taylor]: Taking taylor expansion of N in N 1.285 * [taylor]: Taking taylor expansion of 1.0 in N 1.285 * [taylor]: Taking taylor expansion of N in N 1.286 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.286 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.286 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.286 * [taylor]: Taking taylor expansion of 1/3 in N 1.286 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.286 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.286 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.286 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.286 * [taylor]: Taking taylor expansion of N in N 1.287 * [taylor]: Taking taylor expansion of 1.0 in N 1.287 * [taylor]: Taking taylor expansion of N in N 1.307 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 1.307 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.307 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.307 * [taylor]: Taking taylor expansion of -1 in N 1.308 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.308 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.308 * [taylor]: Taking taylor expansion of 1/3 in N 1.308 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.308 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.308 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.308 * [taylor]: Taking taylor expansion of 1.0 in N 1.308 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.308 * [taylor]: Taking taylor expansion of N in N 1.308 * [taylor]: Taking taylor expansion of N in N 1.310 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.310 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.310 * [taylor]: Taking taylor expansion of -1 in N 1.311 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.311 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.311 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.311 * [taylor]: Taking taylor expansion of 1/3 in N 1.311 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.311 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.311 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.311 * [taylor]: Taking taylor expansion of 1.0 in N 1.311 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.311 * [taylor]: Taking taylor expansion of N in N 1.311 * [taylor]: Taking taylor expansion of N in N 1.349 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 1 1) 1.349 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 1.349 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.349 * [taylor]: Taking taylor expansion of 1/3 in N 1.349 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.349 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.349 * [taylor]: Taking taylor expansion of N in N 1.349 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.349 * [taylor]: Taking taylor expansion of N in N 1.349 * [taylor]: Taking taylor expansion of 1.0 in N 1.352 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.352 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.352 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.352 * [taylor]: Taking taylor expansion of 1/3 in N 1.352 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.352 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.352 * [taylor]: Taking taylor expansion of N in N 1.352 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.352 * [taylor]: Taking taylor expansion of N in N 1.352 * [taylor]: Taking taylor expansion of 1.0 in N 1.382 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 1.382 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.382 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.382 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.382 * [taylor]: Taking taylor expansion of 1/3 in N 1.382 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.382 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.382 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.382 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.382 * [taylor]: Taking taylor expansion of N in N 1.382 * [taylor]: Taking taylor expansion of 1.0 in N 1.382 * [taylor]: Taking taylor expansion of N in N 1.383 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.383 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.383 * [taylor]: Taking taylor expansion of 1/3 in N 1.383 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.383 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.383 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.383 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.383 * [taylor]: Taking taylor expansion of N in N 1.384 * [taylor]: Taking taylor expansion of 1.0 in N 1.384 * [taylor]: Taking taylor expansion of N in N 1.404 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 1.404 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.404 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.404 * [taylor]: Taking taylor expansion of -1 in N 1.404 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.405 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.405 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.405 * [taylor]: Taking taylor expansion of 1/3 in N 1.405 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.405 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.405 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.405 * [taylor]: Taking taylor expansion of 1.0 in N 1.405 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.405 * [taylor]: Taking taylor expansion of N in N 1.405 * [taylor]: Taking taylor expansion of N in N 1.407 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.407 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.407 * [taylor]: Taking taylor expansion of -1 in N 1.413 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.413 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.413 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.413 * [taylor]: Taking taylor expansion of 1/3 in N 1.413 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.414 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.414 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.414 * [taylor]: Taking taylor expansion of 1.0 in N 1.414 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.414 * [taylor]: Taking taylor expansion of N in N 1.414 * [taylor]: Taking taylor expansion of N in N 1.446 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 1.447 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 1.447 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.447 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.447 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.447 * [taylor]: Taking taylor expansion of 1/3 in N 1.447 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.447 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.447 * [taylor]: Taking taylor expansion of N in N 1.447 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.447 * [taylor]: Taking taylor expansion of N in N 1.447 * [taylor]: Taking taylor expansion of 1.0 in N 1.450 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.450 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.450 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.450 * [taylor]: Taking taylor expansion of 1/3 in N 1.450 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.450 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.450 * [taylor]: Taking taylor expansion of N in N 1.450 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.450 * [taylor]: Taking taylor expansion of N in N 1.450 * [taylor]: Taking taylor expansion of 1.0 in N 1.479 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 1.479 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.479 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.479 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.479 * [taylor]: Taking taylor expansion of 1/3 in N 1.479 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.479 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.479 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.479 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.479 * [taylor]: Taking taylor expansion of N in N 1.480 * [taylor]: Taking taylor expansion of 1.0 in N 1.480 * [taylor]: Taking taylor expansion of N in N 1.481 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.481 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.481 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.481 * [taylor]: Taking taylor expansion of 1/3 in N 1.481 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.481 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.481 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.481 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.481 * [taylor]: Taking taylor expansion of N in N 1.481 * [taylor]: Taking taylor expansion of 1.0 in N 1.481 * [taylor]: Taking taylor expansion of N in N 1.507 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 1.507 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.507 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.507 * [taylor]: Taking taylor expansion of -1 in N 1.508 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.508 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.508 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.508 * [taylor]: Taking taylor expansion of 1/3 in N 1.508 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.508 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.508 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.508 * [taylor]: Taking taylor expansion of 1.0 in N 1.508 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.508 * [taylor]: Taking taylor expansion of N in N 1.508 * [taylor]: Taking taylor expansion of N in N 1.510 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.510 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.510 * [taylor]: Taking taylor expansion of -1 in N 1.511 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.511 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.511 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.511 * [taylor]: Taking taylor expansion of 1/3 in N 1.511 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.511 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.511 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.511 * [taylor]: Taking taylor expansion of 1.0 in N 1.511 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.511 * [taylor]: Taking taylor expansion of N in N 1.512 * [taylor]: Taking taylor expansion of N in N 1.544 * * * [progress]: simplifying candidates 1.545 * [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)))) 1.549 * * [simplify]: iteration 0 : 190 enodes (cost 556 ) 1.553 * * [simplify]: iteration 1 : 580 enodes (cost 528 ) 1.563 * * [simplify]: iteration 2 : 2211 enodes (cost 472 ) 1.608 * * [simplify]: iteration 3 : 5001 enodes (cost 472 ) 1.610 * [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)))) 1.611 * * * [progress]: adding candidates to table 1.834 * [progress]: [Phase 3 of 3] Extracting. 1.834 * * [regime]: Finding splitpoints for: (# # # # # #) 1.835 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.835 * * * * [regimes]: Trying to branch on N from (# # # # # #) 1.857 * * * [regime]: Found split indices: #