11.960 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.030 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.032 * * [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 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.051 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.052 * * * [progress]: generating series expansions 0.052 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.053 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.053 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.053 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.053 * [taylor]: Taking taylor expansion of (atan N) in N 0.053 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.053 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.053 * [taylor]: Taking taylor expansion of (atan N) in N 0.056 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.056 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.056 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.057 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.060 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.060 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.060 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.060 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.060 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.060 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.060 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.063 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.063 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.063 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.063 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.063 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.064 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.064 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.064 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.064 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.064 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.064 * * * [progress]: simplifying candidates 0.065 * [simplify]: Simplifying using # : (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.069 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.071 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.074 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.080 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.095 * * [simplify]: iteration 4 : 2491 enodes (cost 142 ) 0.148 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.149 * [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)) 0.149 * * * [progress]: adding candidates to table 0.199 * * [progress]: iteration 2 / 4 0.199 * * * [progress]: picking best candidate 0.201 * * * * [pick]: Picked # 0.201 * * * [progress]: localizing error 0.206 * * * [progress]: generating rewritten candidates 0.206 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.207 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.214 * * * [progress]: generating series expansions 0.214 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.214 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.214 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.214 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.215 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.215 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.215 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.216 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.216 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.216 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.216 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.217 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.217 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.217 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.217 * [taylor]: Taking taylor expansion of 1.0 in N 0.217 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.217 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.217 * [taylor]: Taking taylor expansion of 1.0 in N 0.226 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.226 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.226 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.226 * [taylor]: Taking taylor expansion of N in N 0.226 * [taylor]: Taking taylor expansion of 1.0 in N 0.226 * [taylor]: Taking taylor expansion of N in N 0.227 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.227 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.227 * [taylor]: Taking taylor expansion of N in N 0.227 * [taylor]: Taking taylor expansion of 1.0 in N 0.227 * [taylor]: Taking taylor expansion of N in N 0.238 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.238 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.238 * [taylor]: Taking taylor expansion of -1 in N 0.238 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.238 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.238 * [taylor]: Taking taylor expansion of 1.0 in N 0.238 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.238 * [taylor]: Taking taylor expansion of N in N 0.239 * [taylor]: Taking taylor expansion of N in N 0.239 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.239 * [taylor]: Taking taylor expansion of -1 in N 0.239 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.239 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.239 * [taylor]: Taking taylor expansion of 1.0 in N 0.240 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [taylor]: Taking taylor expansion of N in N 0.259 * * * [progress]: simplifying candidates 0.259 * [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)) 0.269 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.272 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.284 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.326 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.327 * [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) 0.328 * * * [progress]: adding candidates to table 0.381 * * [progress]: iteration 3 / 4 0.381 * * * [progress]: picking best candidate 0.393 * * * * [pick]: Picked # 0.393 * * * [progress]: localizing error 0.403 * * * [progress]: generating rewritten candidates 0.403 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.410 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 0.417 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 0.424 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.426 * * * [progress]: generating series expansions 0.426 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.427 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.427 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.427 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.427 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.427 * [taylor]: Taking taylor expansion of 1/3 in N 0.427 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.427 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.427 * [taylor]: Taking taylor expansion of N in N 0.427 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.427 * [taylor]: Taking taylor expansion of N in N 0.427 * [taylor]: Taking taylor expansion of 1.0 in N 0.430 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.430 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.430 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.430 * [taylor]: Taking taylor expansion of 1/3 in N 0.430 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.430 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.430 * [taylor]: Taking taylor expansion of N in N 0.430 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.430 * [taylor]: Taking taylor expansion of N in N 0.430 * [taylor]: Taking taylor expansion of 1.0 in N 0.467 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.467 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.467 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.467 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.467 * [taylor]: Taking taylor expansion of 1/3 in N 0.467 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.467 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.467 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.468 * [taylor]: Taking taylor expansion of N in N 0.468 * [taylor]: Taking taylor expansion of 1.0 in N 0.468 * [taylor]: Taking taylor expansion of N in N 0.469 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.469 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.469 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.469 * [taylor]: Taking taylor expansion of 1/3 in N 0.469 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.469 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.469 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.469 * [taylor]: Taking taylor expansion of N in N 0.469 * [taylor]: Taking taylor expansion of 1.0 in N 0.469 * [taylor]: Taking taylor expansion of N in N 0.491 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.491 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.491 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.491 * [taylor]: Taking taylor expansion of -1 in N 0.492 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.492 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.492 * [taylor]: Taking taylor expansion of 1/3 in N 0.492 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.492 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.492 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.492 * [taylor]: Taking taylor expansion of 1.0 in N 0.492 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.492 * [taylor]: Taking taylor expansion of N in N 0.492 * [taylor]: Taking taylor expansion of N in N 0.494 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.494 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.494 * [taylor]: Taking taylor expansion of -1 in N 0.495 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.495 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.495 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.495 * [taylor]: Taking taylor expansion of 1/3 in N 0.495 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.495 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.495 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.495 * [taylor]: Taking taylor expansion of 1.0 in N 0.495 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.529 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 0.529 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.529 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.529 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.529 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.529 * [taylor]: Taking taylor expansion of 1/3 in N 0.529 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.529 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.529 * [taylor]: Taking taylor expansion of N in N 0.529 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.529 * [taylor]: Taking taylor expansion of N in N 0.529 * [taylor]: Taking taylor expansion of 1.0 in N 0.532 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.532 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.532 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.532 * [taylor]: Taking taylor expansion of 1/3 in N 0.532 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.532 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.532 * [taylor]: Taking taylor expansion of N in N 0.532 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.532 * [taylor]: Taking taylor expansion of N in N 0.532 * [taylor]: Taking taylor expansion of 1.0 in N 0.570 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.570 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.570 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.570 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.570 * [taylor]: Taking taylor expansion of 1/3 in N 0.570 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.570 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.570 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.570 * [taylor]: Taking taylor expansion of N in N 0.570 * [taylor]: Taking taylor expansion of 1.0 in N 0.570 * [taylor]: Taking taylor expansion of N in N 0.571 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.571 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.571 * [taylor]: Taking taylor expansion of 1/3 in N 0.571 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.571 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.571 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.571 * [taylor]: Taking taylor expansion of N in N 0.572 * [taylor]: Taking taylor expansion of 1.0 in N 0.572 * [taylor]: Taking taylor expansion of N in N 0.603 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.603 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.603 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.603 * [taylor]: Taking taylor expansion of -1 in N 0.603 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.603 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.603 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.603 * [taylor]: Taking taylor expansion of 1/3 in N 0.603 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.603 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.603 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.603 * [taylor]: Taking taylor expansion of 1.0 in N 0.604 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.606 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.606 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.606 * [taylor]: Taking taylor expansion of -1 in N 0.607 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.607 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.607 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.607 * [taylor]: Taking taylor expansion of 1/3 in N 0.607 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.607 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.607 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.607 * [taylor]: Taking taylor expansion of 1.0 in N 0.607 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.639 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 0.639 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.639 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.640 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.640 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.640 * [taylor]: Taking taylor expansion of 1/3 in N 0.640 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.640 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.640 * [taylor]: Taking taylor expansion of N in N 0.640 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.640 * [taylor]: Taking taylor expansion of N in N 0.640 * [taylor]: Taking taylor expansion of 1.0 in N 0.653 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.653 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.653 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.653 * [taylor]: Taking taylor expansion of 1/3 in N 0.653 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.653 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.653 * [taylor]: Taking taylor expansion of N in N 0.653 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.653 * [taylor]: Taking taylor expansion of N in N 0.653 * [taylor]: Taking taylor expansion of 1.0 in N 0.683 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.683 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.683 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.683 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.683 * [taylor]: Taking taylor expansion of 1/3 in N 0.683 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.683 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.684 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.684 * [taylor]: Taking taylor expansion of N in N 0.684 * [taylor]: Taking taylor expansion of 1.0 in N 0.684 * [taylor]: Taking taylor expansion of N in N 0.685 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.685 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.685 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.685 * [taylor]: Taking taylor expansion of 1/3 in N 0.685 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.685 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.685 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.685 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.685 * [taylor]: Taking taylor expansion of N in N 0.685 * [taylor]: Taking taylor expansion of 1.0 in N 0.685 * [taylor]: Taking taylor expansion of N in N 0.706 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.706 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.706 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.706 * [taylor]: Taking taylor expansion of -1 in N 0.707 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.707 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.707 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.707 * [taylor]: Taking taylor expansion of 1/3 in N 0.707 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.707 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.707 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.707 * [taylor]: Taking taylor expansion of 1.0 in N 0.707 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.707 * [taylor]: Taking taylor expansion of N in N 0.708 * [taylor]: Taking taylor expansion of N in N 0.710 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.710 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.710 * [taylor]: Taking taylor expansion of -1 in N 0.710 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.711 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.711 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.711 * [taylor]: Taking taylor expansion of 1/3 in N 0.711 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.711 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.711 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.711 * [taylor]: Taking taylor expansion of 1.0 in N 0.711 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.711 * [taylor]: Taking taylor expansion of N in N 0.711 * [taylor]: Taking taylor expansion of N in N 0.753 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.753 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.753 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.753 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.754 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.754 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.754 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.756 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in (N) around 0 0.756 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 0.757 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 0.759 * * * [progress]: simplifying candidates 0.761 * [simplify]: Simplifying using # : (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (* (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (* (+ N 1.0) 1)) (cbrt N) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) N)) (cbrt (sqrt (+ N 1.0))) (cbrt (* (sqrt (+ N 1.0)) N)) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt N) (cbrt (+ N 1.0)) (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 (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (* (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (* (+ N 1.0) 1)) (cbrt N) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) N)) (cbrt (sqrt (+ N 1.0))) (cbrt (* (sqrt (+ N 1.0)) N)) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt N) (cbrt (+ N 1.0)) (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 (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (* (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (* (+ N 1.0) 1)) (cbrt N) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) N)) (cbrt (sqrt (+ N 1.0))) (cbrt (* (sqrt (+ N 1.0)) N)) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt N) (cbrt (+ N 1.0)) (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 (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 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)))) (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))) 0.767 * * [simplify]: iteration 0 : 240 enodes (cost 809 ) 0.772 * * [simplify]: iteration 1 : 712 enodes (cost 761 ) 0.788 * * [simplify]: iteration 2 : 3007 enodes (cost 719 ) 0.854 * * [simplify]: iteration 3 : 5001 enodes (cost 702 ) 0.858 * [simplify]: Simplified to: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) 1 (cbrt (* (+ N 1.0) N)) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (* (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) N)) (cbrt (sqrt (+ N 1.0))) (cbrt (* (sqrt (+ N 1.0)) N)) 1 (cbrt (* (+ N 1.0) N)) 1 (cbrt (* (+ N 1.0) N)) (pow N 1/3) (cbrt (+ N 1.0)) (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 (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) 1 (cbrt (* (+ N 1.0) N)) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (* (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) N)) (cbrt (sqrt (+ N 1.0))) (cbrt (* (sqrt (+ N 1.0)) N)) 1 (cbrt (* (+ N 1.0) N)) 1 (cbrt (* (+ N 1.0) N)) (pow N 1/3) (cbrt (+ N 1.0)) (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 (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) 1 (cbrt (* (+ N 1.0) N)) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (* (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) N)) (cbrt (sqrt (+ N 1.0))) (cbrt (* (sqrt (+ N 1.0)) N)) 1 (cbrt (* (+ N 1.0) N)) 1 (cbrt (* (+ N 1.0) N)) (pow N 1/3) (cbrt (+ N 1.0)) (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 (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (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)))) (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))) 0.858 * * * [progress]: adding candidates to table 1.121 * * [progress]: iteration 4 / 4 1.121 * * * [progress]: picking best candidate 1.141 * * * * [pick]: Picked # 1.141 * * * [progress]: localizing error 1.156 * * * [progress]: generating rewritten candidates 1.156 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 2 1) 1.163 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 1 2) 1.170 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 1 1) 1.177 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 1.186 * * * [progress]: generating series expansions 1.186 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 2 1) 1.187 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 1.187 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.187 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.187 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.187 * [taylor]: Taking taylor expansion of 1/3 in N 1.187 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.187 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.187 * [taylor]: Taking taylor expansion of N in N 1.187 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.187 * [taylor]: Taking taylor expansion of N in N 1.187 * [taylor]: Taking taylor expansion of 1.0 in N 1.191 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.191 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.191 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.191 * [taylor]: Taking taylor expansion of 1/3 in N 1.191 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.191 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.191 * [taylor]: Taking taylor expansion of N in N 1.191 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.191 * [taylor]: Taking taylor expansion of N in N 1.191 * [taylor]: Taking taylor expansion of 1.0 in N 1.221 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 1.221 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.221 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.221 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.221 * [taylor]: Taking taylor expansion of 1/3 in N 1.221 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.221 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.221 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 1.222 * [taylor]: Taking taylor expansion of 1.0 in N 1.222 * [taylor]: Taking taylor expansion of N in N 1.223 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.223 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.223 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.223 * [taylor]: Taking taylor expansion of 1/3 in N 1.223 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.223 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.223 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.223 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.223 * [taylor]: Taking taylor expansion of N in N 1.223 * [taylor]: Taking taylor expansion of 1.0 in N 1.223 * [taylor]: Taking taylor expansion of N in N 1.252 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 1.252 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.252 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.252 * [taylor]: Taking taylor expansion of -1 in N 1.253 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.253 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.253 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.253 * [taylor]: Taking taylor expansion of 1/3 in N 1.253 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.253 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.253 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.253 * [taylor]: Taking taylor expansion of 1.0 in N 1.253 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.253 * [taylor]: Taking taylor expansion of N in N 1.253 * [taylor]: Taking taylor expansion of N in N 1.255 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.255 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.255 * [taylor]: Taking taylor expansion of -1 in N 1.256 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.256 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.256 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.256 * [taylor]: Taking taylor expansion of 1/3 in N 1.256 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.256 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.256 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.256 * [taylor]: Taking taylor expansion of 1.0 in N 1.256 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.256 * [taylor]: Taking taylor expansion of N in N 1.256 * [taylor]: Taking taylor expansion of N in N 1.290 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 1 2) 1.290 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 1.290 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.290 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.290 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.290 * [taylor]: Taking taylor expansion of 1/3 in N 1.290 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.290 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.290 * [taylor]: Taking taylor expansion of N in N 1.290 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.290 * [taylor]: Taking taylor expansion of N in N 1.290 * [taylor]: Taking taylor expansion of 1.0 in N 1.293 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.293 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.293 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.293 * [taylor]: Taking taylor expansion of 1/3 in N 1.293 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.293 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.293 * [taylor]: Taking taylor expansion of N in N 1.293 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.293 * [taylor]: Taking taylor expansion of N in N 1.293 * [taylor]: Taking taylor expansion of 1.0 in N 1.332 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 1.332 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.332 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.332 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.332 * [taylor]: Taking taylor expansion of 1/3 in N 1.332 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.332 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.332 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.332 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.332 * [taylor]: Taking taylor expansion of N in N 1.333 * [taylor]: Taking taylor expansion of 1.0 in N 1.333 * [taylor]: Taking taylor expansion of N in N 1.334 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.334 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.334 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.334 * [taylor]: Taking taylor expansion of 1/3 in N 1.334 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.334 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.334 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.334 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.334 * [taylor]: Taking taylor expansion of N in N 1.334 * [taylor]: Taking taylor expansion of 1.0 in N 1.334 * [taylor]: Taking taylor expansion of N in N 1.355 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 1.355 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.355 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.355 * [taylor]: Taking taylor expansion of -1 in N 1.356 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.356 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.356 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.356 * [taylor]: Taking taylor expansion of 1/3 in N 1.356 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.356 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.356 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.356 * [taylor]: Taking taylor expansion of 1.0 in N 1.356 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.356 * [taylor]: Taking taylor expansion of N in N 1.356 * [taylor]: Taking taylor expansion of N in N 1.358 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.358 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.359 * [taylor]: Taking taylor expansion of -1 in N 1.359 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.359 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.359 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.359 * [taylor]: Taking taylor expansion of 1/3 in N 1.359 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.359 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.359 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.359 * [taylor]: Taking taylor expansion of 1.0 in N 1.359 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.359 * [taylor]: Taking taylor expansion of N in N 1.360 * [taylor]: Taking taylor expansion of N in N 1.392 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 1 1) 1.392 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 1.393 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.393 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.393 * [taylor]: Taking taylor expansion of 1/3 in N 1.393 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.393 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.393 * [taylor]: Taking taylor expansion of N in N 1.393 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.393 * [taylor]: Taking taylor expansion of N in N 1.393 * [taylor]: Taking taylor expansion of 1.0 in N 1.396 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.396 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.396 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.396 * [taylor]: Taking taylor expansion of 1/3 in N 1.396 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.396 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.396 * [taylor]: Taking taylor expansion of N in N 1.396 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.396 * [taylor]: Taking taylor expansion of N in N 1.396 * [taylor]: Taking taylor expansion of 1.0 in N 1.434 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 1.434 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.434 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.434 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.434 * [taylor]: Taking taylor expansion of 1/3 in N 1.434 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.434 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.434 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.434 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.434 * [taylor]: Taking taylor expansion of N in N 1.435 * [taylor]: Taking taylor expansion of 1.0 in N 1.435 * [taylor]: Taking taylor expansion of N in N 1.436 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.436 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.436 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.436 * [taylor]: Taking taylor expansion of 1/3 in N 1.436 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.436 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.436 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.436 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.436 * [taylor]: Taking taylor expansion of N in N 1.436 * [taylor]: Taking taylor expansion of 1.0 in N 1.436 * [taylor]: Taking taylor expansion of N in N 1.457 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 1.457 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.457 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.457 * [taylor]: Taking taylor expansion of -1 in N 1.458 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.458 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.458 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.458 * [taylor]: Taking taylor expansion of 1/3 in N 1.458 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.458 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.458 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.458 * [taylor]: Taking taylor expansion of 1.0 in N 1.458 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.458 * [taylor]: Taking taylor expansion of N in N 1.458 * [taylor]: Taking taylor expansion of N in N 1.461 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.461 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.461 * [taylor]: Taking taylor expansion of -1 in N 1.461 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.461 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.461 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.461 * [taylor]: Taking taylor expansion of 1/3 in N 1.461 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.462 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.462 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.462 * [taylor]: Taking taylor expansion of 1.0 in N 1.462 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.462 * [taylor]: Taking taylor expansion of N in N 1.462 * [taylor]: Taking taylor expansion of N in N 1.494 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 1.494 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 1.495 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.495 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.495 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.495 * [taylor]: Taking taylor expansion of 1/3 in N 1.495 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.495 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.495 * [taylor]: Taking taylor expansion of N in N 1.495 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.495 * [taylor]: Taking taylor expansion of N in N 1.495 * [taylor]: Taking taylor expansion of 1.0 in N 1.506 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.506 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.506 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.506 * [taylor]: Taking taylor expansion of 1/3 in N 1.506 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.506 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.506 * [taylor]: Taking taylor expansion of N in N 1.506 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.507 * [taylor]: Taking taylor expansion of N in N 1.507 * [taylor]: Taking taylor expansion of 1.0 in N 1.537 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 1.537 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.537 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.537 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.537 * [taylor]: Taking taylor expansion of 1/3 in N 1.537 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.537 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.537 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.537 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.537 * [taylor]: Taking taylor expansion of N in N 1.537 * [taylor]: Taking taylor expansion of 1.0 in N 1.537 * [taylor]: Taking taylor expansion of N in N 1.538 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.538 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.538 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.538 * [taylor]: Taking taylor expansion of 1/3 in N 1.538 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.538 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.538 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.538 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.538 * [taylor]: Taking taylor expansion of N in N 1.539 * [taylor]: Taking taylor expansion of 1.0 in N 1.539 * [taylor]: Taking taylor expansion of N in N 1.560 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 1.560 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.560 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.560 * [taylor]: Taking taylor expansion of -1 in N 1.561 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.561 * [taylor]: Taking taylor expansion of 1/3 in N 1.561 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.561 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.561 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.561 * [taylor]: Taking taylor expansion of 1.0 in N 1.561 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.561 * [taylor]: Taking taylor expansion of N in N 1.561 * [taylor]: Taking taylor expansion of N in N 1.563 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.563 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.563 * [taylor]: Taking taylor expansion of -1 in N 1.564 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.564 * [taylor]: Taking taylor expansion of 1/3 in N 1.564 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.564 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.564 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.564 * [taylor]: Taking taylor expansion of 1.0 in N 1.564 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.564 * [taylor]: Taking taylor expansion of N in N 1.565 * [taylor]: Taking taylor expansion of N in N 1.607 * * * [progress]: simplifying candidates 1.608 * [simplify]: Simplifying using # : (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (* (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (* (+ N 1.0) 1)) (cbrt N) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) N)) (cbrt (sqrt (+ N 1.0))) (cbrt (* (sqrt (+ N 1.0)) N)) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt N) (cbrt (+ N 1.0)) (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 (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (* (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (* (+ N 1.0) 1)) (cbrt N) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) N)) (cbrt (sqrt (+ N 1.0))) (cbrt (* (sqrt (+ N 1.0)) N)) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt N) (cbrt (+ N 1.0)) (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 (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (* (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (* (+ N 1.0) 1)) (cbrt N) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) N)) (cbrt (sqrt (+ N 1.0))) (cbrt (* (sqrt (+ N 1.0)) N)) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt N) (cbrt (+ N 1.0)) (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 (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (* (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (* (+ N 1.0) 1)) (cbrt N) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) N)) (cbrt (sqrt (+ N 1.0))) (cbrt (* (sqrt (+ N 1.0)) N)) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt N) (cbrt (+ N 1.0)) (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)))) 1.614 * * [simplify]: iteration 0 : 222 enodes (cost 872 ) 1.619 * * [simplify]: iteration 1 : 683 enodes (cost 844 ) 1.635 * * [simplify]: iteration 2 : 2971 enodes (cost 788 ) 1.700 * * [simplify]: iteration 3 : 5001 enodes (cost 776 ) 1.704 * [simplify]: Simplified to: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) 1 (cbrt (* (+ N 1.0) N)) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (* (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) N)) (cbrt (sqrt (+ N 1.0))) (cbrt (* (sqrt (+ N 1.0)) N)) 1 (cbrt (* (+ N 1.0) N)) 1 (cbrt (* (+ N 1.0) N)) (pow N 1/3) (cbrt (+ N 1.0)) (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 (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) 1 (cbrt (* (+ N 1.0) N)) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (* (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) N)) (cbrt (sqrt (+ N 1.0))) (cbrt (* (sqrt (+ N 1.0)) N)) 1 (cbrt (* (+ N 1.0) N)) 1 (cbrt (* (+ N 1.0) N)) (pow N 1/3) (cbrt (+ N 1.0)) (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 (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) 1 (cbrt (* (+ N 1.0) N)) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (* (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) N)) (cbrt (sqrt (+ N 1.0))) (cbrt (* (sqrt (+ N 1.0)) N)) 1 (cbrt (* (+ N 1.0) N)) 1 (cbrt (* (+ N 1.0) N)) (pow N 1/3) (cbrt (+ N 1.0)) (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 (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) 1 (cbrt (* (+ N 1.0) N)) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (* (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) N)) (cbrt (sqrt (+ N 1.0))) (cbrt (* (sqrt (+ N 1.0)) N)) 1 (cbrt (* (+ N 1.0) N)) 1 (cbrt (* (+ N 1.0) N)) (pow N 1/3) (cbrt (+ N 1.0)) (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)))) 1.705 * * * [progress]: adding candidates to table 2.098 * [progress]: [Phase 3 of 3] Extracting. 2.098 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.100 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.100 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 2.136 * * * [regime]: Found split indices: #