7.616 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.035 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.036 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.037 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.037 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.049 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.051 * * * [progress]: generating series expansions 0.051 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.051 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.051 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.051 * [taylor]: Taking taylor expansion of (atan N) in N 0.051 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.051 * [taylor]: Taking taylor expansion of (atan N) in N 0.055 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.055 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.058 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.058 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.058 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.058 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.058 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.058 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.058 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.061 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.061 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.061 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.061 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.062 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.062 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.062 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.062 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.062 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.062 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.062 * * * [progress]: simplifying candidates 0.063 * [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)))) (neg (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)) (neg (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)) 0.066 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.068 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.071 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.076 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.090 * * [simplify]: iteration 4 : 2447 enodes (cost 142 ) 0.140 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.141 * [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)) 0.142 * * * [progress]: adding candidates to table 0.184 * * [progress]: iteration 2 / 4 0.184 * * * [progress]: picking best candidate 0.185 * * * * [pick]: Picked # 0.185 * * * [progress]: localizing error 0.191 * * * [progress]: generating rewritten candidates 0.191 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.192 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.198 * * * [progress]: generating series expansions 0.198 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.198 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.198 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.199 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.199 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.199 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.199 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.200 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.200 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.200 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.201 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.201 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.201 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.201 * [taylor]: Taking taylor expansion of N in N 0.201 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.201 * [taylor]: Taking taylor expansion of N in N 0.201 * [taylor]: Taking taylor expansion of 1.0 in N 0.201 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.201 * [taylor]: Taking taylor expansion of N in N 0.201 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.201 * [taylor]: Taking taylor expansion of N in N 0.201 * [taylor]: Taking taylor expansion of 1.0 in N 0.210 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.211 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.211 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.211 * [taylor]: Taking taylor expansion of N in N 0.211 * [taylor]: Taking taylor expansion of 1.0 in N 0.211 * [taylor]: Taking taylor expansion of N in N 0.211 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.211 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.211 * [taylor]: Taking taylor expansion of N in N 0.212 * [taylor]: Taking taylor expansion of 1.0 in N 0.212 * [taylor]: Taking taylor expansion of N in N 0.222 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.222 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.222 * [taylor]: Taking taylor expansion of -1 in N 0.222 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.222 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.222 * [taylor]: Taking taylor expansion of 1.0 in N 0.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.222 * [taylor]: Taking taylor expansion of N in N 0.222 * [taylor]: Taking taylor expansion of N in N 0.223 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.223 * [taylor]: Taking taylor expansion of -1 in N 0.223 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.223 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.223 * [taylor]: Taking taylor expansion of 1.0 in N 0.223 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.223 * [taylor]: Taking taylor expansion of N in N 0.223 * [taylor]: Taking taylor expansion of N in N 0.241 * * * [progress]: simplifying candidates 0.242 * [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)) 0.245 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.248 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.258 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.298 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.299 * [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) 0.300 * * * [progress]: adding candidates to table 0.350 * * [progress]: iteration 3 / 4 0.350 * * * [progress]: picking best candidate 0.362 * * * * [pick]: Picked # 0.362 * * * [progress]: localizing error 0.375 * * * [progress]: generating rewritten candidates 0.375 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.380 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 0.384 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 0.389 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.397 * * * [progress]: generating series expansions 0.397 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.398 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.398 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.398 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.398 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.398 * [taylor]: Taking taylor expansion of 1/3 in N 0.398 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.398 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.398 * [taylor]: Taking taylor expansion of N in N 0.398 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.398 * [taylor]: Taking taylor expansion of N in N 0.398 * [taylor]: Taking taylor expansion of 1.0 in N 0.401 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.401 * [taylor]: Taking taylor expansion of 1/3 in N 0.401 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.401 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.401 * [taylor]: Taking taylor expansion of N in N 0.401 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.401 * [taylor]: Taking taylor expansion of N in N 0.401 * [taylor]: Taking taylor expansion of 1.0 in N 0.431 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.432 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.432 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.432 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.432 * [taylor]: Taking taylor expansion of 1/3 in N 0.432 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.432 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.432 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.432 * [taylor]: Taking taylor expansion of N in N 0.432 * [taylor]: Taking taylor expansion of 1.0 in N 0.432 * [taylor]: Taking taylor expansion of N in N 0.433 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.433 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.433 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.433 * [taylor]: Taking taylor expansion of 1/3 in N 0.433 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.433 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.433 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.433 * [taylor]: Taking taylor expansion of N in N 0.433 * [taylor]: Taking taylor expansion of 1.0 in N 0.434 * [taylor]: Taking taylor expansion of N in N 0.459 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.459 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.459 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.459 * [taylor]: Taking taylor expansion of -1 in N 0.460 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.460 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.460 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.460 * [taylor]: Taking taylor expansion of 1/3 in N 0.460 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.460 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.460 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.460 * [taylor]: Taking taylor expansion of 1.0 in N 0.460 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.460 * [taylor]: Taking taylor expansion of N in N 0.461 * [taylor]: Taking taylor expansion of N in N 0.463 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.463 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.463 * [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 0.464 * [taylor]: Taking taylor expansion of N in N 0.495 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 0.496 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.496 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.496 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.496 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.496 * [taylor]: Taking taylor expansion of 1/3 in N 0.496 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.496 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.496 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.496 * [taylor]: Taking taylor expansion of 1.0 in N 0.499 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.499 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.499 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.499 * [taylor]: Taking taylor expansion of 1/3 in N 0.499 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.499 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.499 * [taylor]: Taking taylor expansion of N in N 0.499 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.499 * [taylor]: Taking taylor expansion of N in N 0.499 * [taylor]: Taking taylor expansion of 1.0 in N 0.528 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.528 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.528 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.528 * [taylor]: Taking taylor expansion of 1/3 in N 0.528 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.528 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.528 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.528 * [taylor]: Taking taylor expansion of N in N 0.528 * [taylor]: Taking taylor expansion of 1.0 in N 0.528 * [taylor]: Taking taylor expansion of N in N 0.529 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.529 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.529 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.529 * [taylor]: Taking taylor expansion of 1/3 in N 0.529 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.529 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.529 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.529 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.529 * [taylor]: Taking taylor expansion of N in N 0.530 * [taylor]: Taking taylor expansion of 1.0 in N 0.530 * [taylor]: Taking taylor expansion of N in N 0.555 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.555 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.555 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.555 * [taylor]: Taking taylor expansion of -1 in N 0.556 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.556 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.556 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.556 * [taylor]: Taking taylor expansion of 1/3 in N 0.556 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.556 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.556 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.556 * [taylor]: Taking taylor expansion of 1.0 in N 0.556 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.556 * [taylor]: Taking taylor expansion of N in N 0.557 * [taylor]: Taking taylor expansion of N in N 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 0.559 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.559 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.559 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.559 * [taylor]: Taking taylor expansion of 1/3 in N 0.559 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.559 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.559 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.559 * [taylor]: Taking taylor expansion of 1.0 in N 0.559 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.559 * [taylor]: Taking taylor expansion of N in N 0.560 * [taylor]: Taking taylor expansion of N in N 0.591 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 0.592 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.592 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.592 * [taylor]: Taking taylor expansion of 1/3 in N 0.592 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.592 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.592 * [taylor]: Taking taylor expansion of N in N 0.592 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.592 * [taylor]: Taking taylor expansion of N in N 0.592 * [taylor]: Taking taylor expansion of 1.0 in N 0.595 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.595 * [taylor]: Taking taylor expansion of 1/3 in N 0.595 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.595 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.595 * [taylor]: Taking taylor expansion of N in N 0.595 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.595 * [taylor]: Taking taylor expansion of N in N 0.595 * [taylor]: Taking taylor expansion of 1.0 in N 0.629 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.629 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.629 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.629 * [taylor]: Taking taylor expansion of 1/3 in N 0.629 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.629 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.629 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.629 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.629 * [taylor]: Taking taylor expansion of N in N 0.630 * [taylor]: Taking taylor expansion of 1.0 in N 0.630 * [taylor]: Taking taylor expansion of N in N 0.631 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.631 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.631 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.631 * [taylor]: Taking taylor expansion of 1/3 in N 0.631 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.631 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.631 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.631 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.631 * [taylor]: Taking taylor expansion of N in N 0.631 * [taylor]: Taking taylor expansion of 1.0 in N 0.631 * [taylor]: Taking taylor expansion of N in N 0.652 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.652 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.652 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.652 * [taylor]: Taking taylor expansion of -1 in N 0.653 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.653 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.653 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.653 * [taylor]: Taking taylor expansion of 1/3 in N 0.653 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.653 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.653 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.653 * [taylor]: Taking taylor expansion of 1.0 in N 0.653 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.653 * [taylor]: Taking taylor expansion of N in N 0.653 * [taylor]: Taking taylor expansion of N in N 0.655 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.655 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.655 * [taylor]: Taking taylor expansion of -1 in N 0.656 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.656 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.656 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.656 * [taylor]: Taking taylor expansion of 1/3 in N 0.656 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.656 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.656 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.656 * [taylor]: Taking taylor expansion of 1.0 in N 0.656 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.656 * [taylor]: Taking taylor expansion of N in N 0.657 * [taylor]: Taking taylor expansion of N in N 0.690 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 0.690 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 0.690 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 0.690 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 0.690 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 0.690 * [taylor]: Taking taylor expansion of 1/3 in N 0.690 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 0.690 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 0.690 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.690 * [taylor]: Taking taylor expansion of N in N 0.690 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.690 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.690 * [taylor]: Taking taylor expansion of N in N 0.690 * [taylor]: Taking taylor expansion of 1.0 in N 0.692 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 0.693 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 0.693 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 0.693 * [taylor]: Taking taylor expansion of 1/3 in N 0.693 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 0.693 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 0.693 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.693 * [taylor]: Taking taylor expansion of N in N 0.693 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.693 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.693 * [taylor]: Taking taylor expansion of N in N 0.693 * [taylor]: Taking taylor expansion of 1.0 in N 0.735 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 0.735 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 0.735 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 0.735 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 0.735 * [taylor]: Taking taylor expansion of 1/3 in N 0.735 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 0.735 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 0.735 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.735 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.735 * [taylor]: Taking taylor expansion of N in N 0.735 * [taylor]: Taking taylor expansion of 1.0 in N 0.736 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.736 * [taylor]: Taking taylor expansion of N in N 0.737 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 0.737 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 0.737 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 0.737 * [taylor]: Taking taylor expansion of 1/3 in N 0.737 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 0.737 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 0.737 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.737 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.737 * [taylor]: Taking taylor expansion of N in N 0.737 * [taylor]: Taking taylor expansion of 1.0 in N 0.738 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.738 * [taylor]: Taking taylor expansion of N in N 0.764 * [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 0.764 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 0.764 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.764 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.764 * [taylor]: Taking taylor expansion of -1 in N 0.765 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 0.765 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 0.765 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 0.765 * [taylor]: Taking taylor expansion of 1/3 in N 0.765 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 0.765 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 0.765 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.765 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.765 * [taylor]: Taking taylor expansion of 1.0 in N 0.765 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.765 * [taylor]: Taking taylor expansion of N in N 0.766 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.766 * [taylor]: Taking taylor expansion of N in N 0.767 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 0.767 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.767 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.767 * [taylor]: Taking taylor expansion of -1 in N 0.768 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 0.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 0.768 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 0.768 * [taylor]: Taking taylor expansion of 1/3 in N 0.768 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 0.768 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 0.768 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.768 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.768 * [taylor]: Taking taylor expansion of 1.0 in N 0.768 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.768 * [taylor]: Taking taylor expansion of N in N 0.769 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.769 * [taylor]: Taking taylor expansion of N in N 0.814 * * * [progress]: simplifying candidates 0.816 * [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)))) 0.822 * * [simplify]: iteration 0 : 353 enodes (cost 803 ) 0.830 * * [simplify]: iteration 1 : 1280 enodes (cost 743 ) 0.857 * * [simplify]: iteration 2 : 5001 enodes (cost 669 ) 0.862 * [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))) (+ (+ (/ -1/6 (* (/ 1.0 (pow N 2)) (/ 1.0 (* (pow N 1/3) (pow 1.0 1/3))))) (* (pow N 1/3) (pow 1.0 1/3))) (* (* (pow N 1/3) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555)))) (- (+ (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)))) (+ (+ (/ -1/6 (* (/ 1.0 (pow N 2)) (/ 1.0 (* (pow N 1/3) (pow 1.0 1/3))))) (* (pow N 1/3) (pow 1.0 1/3))) (* (* (pow N 1/3) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555)))) (- (+ (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)))) (+ (+ (/ -1/6 (* (/ 1.0 (pow N 2)) (/ 1.0 (* (pow N 1/3) (pow 1.0 1/3))))) (* (pow N 1/3) (pow 1.0 1/3))) (* (* (pow N 1/3) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555)))) (- (+ (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)))) (+ (+ (/ (neg (* 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)))) 0.862 * * * [progress]: adding candidates to table 1.069 * * [progress]: iteration 4 / 4 1.069 * * * [progress]: picking best candidate 1.082 * * * * [pick]: Picked # 1.082 * * * [progress]: localizing error 1.091 * * * [progress]: generating rewritten candidates 1.091 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.093 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 1.094 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1) 1.095 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 1.103 * * * [progress]: generating series expansions 1.103 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.103 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.103 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.103 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.103 * [taylor]: Taking taylor expansion of 1/3 in N 1.103 * [taylor]: Taking taylor expansion of (log N) in N 1.103 * [taylor]: Taking taylor expansion of N in N 1.104 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.104 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.104 * [taylor]: Taking taylor expansion of 1/3 in N 1.104 * [taylor]: Taking taylor expansion of (log N) in N 1.104 * [taylor]: Taking taylor expansion of N in N 1.157 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.157 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.157 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.157 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.157 * [taylor]: Taking taylor expansion of 1/3 in N 1.157 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.157 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.157 * [taylor]: Taking taylor expansion of N in N 1.158 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.158 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.158 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.158 * [taylor]: Taking taylor expansion of 1/3 in N 1.158 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.158 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.158 * [taylor]: Taking taylor expansion of N in N 1.216 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.216 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.216 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.216 * [taylor]: Taking taylor expansion of -1 in N 1.216 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.217 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.217 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.217 * [taylor]: Taking taylor expansion of 1/3 in N 1.217 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.217 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.217 * [taylor]: Taking taylor expansion of N in N 1.217 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.217 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.217 * [taylor]: Taking taylor expansion of -1 in N 1.218 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.218 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.218 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.218 * [taylor]: Taking taylor expansion of 1/3 in N 1.218 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.218 * [taylor]: Taking taylor expansion of N in N 1.285 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 1.285 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.285 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.285 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.285 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.285 * [taylor]: Taking taylor expansion of 1/3 in N 1.285 * [taylor]: Taking taylor expansion of (log N) in N 1.285 * [taylor]: Taking taylor expansion of N in N 1.286 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.286 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.286 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.286 * [taylor]: Taking taylor expansion of 1/3 in N 1.286 * [taylor]: Taking taylor expansion of (log N) in N 1.286 * [taylor]: Taking taylor expansion of N in N 1.332 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.332 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.332 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.332 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.332 * [taylor]: Taking taylor expansion of 1/3 in N 1.332 * [taylor]: Taking taylor expansion of (log (/ 1 N)) 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 (pow (/ 1 N) 1/3) in N 1.333 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.333 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.333 * [taylor]: Taking taylor expansion of 1/3 in N 1.333 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.333 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.333 * [taylor]: Taking taylor expansion of N in N 1.389 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.389 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.389 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.389 * [taylor]: Taking taylor expansion of -1 in N 1.390 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.390 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.390 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.390 * [taylor]: Taking taylor expansion of 1/3 in N 1.390 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.390 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.390 * [taylor]: Taking taylor expansion of N in N 1.391 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.391 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.391 * [taylor]: Taking taylor expansion of -1 in N 1.392 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.392 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.392 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.392 * [taylor]: Taking taylor expansion of 1/3 in N 1.392 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.392 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.392 * [taylor]: Taking taylor expansion of N in N 1.458 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1) 1.458 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.458 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.458 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.458 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.458 * [taylor]: Taking taylor expansion of 1/3 in N 1.458 * [taylor]: Taking taylor expansion of (log N) in N 1.458 * [taylor]: Taking taylor expansion of N in N 1.458 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.458 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.458 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.459 * [taylor]: Taking taylor expansion of 1/3 in N 1.459 * [taylor]: Taking taylor expansion of (log N) in N 1.459 * [taylor]: Taking taylor expansion of N in N 1.512 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.512 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.512 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.512 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.512 * [taylor]: Taking taylor expansion of 1/3 in N 1.512 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.512 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.512 * [taylor]: Taking taylor expansion of N in N 1.513 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.513 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.513 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.513 * [taylor]: Taking taylor expansion of 1/3 in N 1.513 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.513 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.513 * [taylor]: Taking taylor expansion of N in N 1.568 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.568 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.568 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.568 * [taylor]: Taking taylor expansion of -1 in N 1.569 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.569 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.569 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.569 * [taylor]: Taking taylor expansion of 1/3 in N 1.569 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.569 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.569 * [taylor]: Taking taylor expansion of N in N 1.570 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.570 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.570 * [taylor]: Taking taylor expansion of -1 in N 1.571 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.571 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.571 * [taylor]: Taking taylor expansion of 1/3 in N 1.571 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.571 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.571 * [taylor]: Taking taylor expansion of N in N 1.632 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 1.632 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 1.632 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.632 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.632 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.632 * [taylor]: Taking taylor expansion of 1/3 in N 1.632 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.632 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.632 * [taylor]: Taking taylor expansion of N in N 1.633 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.633 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.633 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.633 * [taylor]: Taking taylor expansion of 1/3 in N 1.633 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.633 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.633 * [taylor]: Taking taylor expansion of N in N 1.691 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 1.691 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.691 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.691 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.691 * [taylor]: Taking taylor expansion of 1/3 in N 1.691 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.691 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.691 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.691 * [taylor]: Taking taylor expansion of N in N 1.692 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.692 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.692 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.692 * [taylor]: Taking taylor expansion of 1/3 in N 1.692 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.692 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.692 * [taylor]: Taking taylor expansion of N in N 1.751 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in (N) around 0 1.751 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in N 1.751 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.751 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.751 * [taylor]: Taking taylor expansion of -1 in N 1.752 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.752 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.752 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.752 * [taylor]: Taking taylor expansion of 1/3 in N 1.752 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.752 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.752 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.752 * [taylor]: Taking taylor expansion of N in N 1.753 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in N 1.753 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.753 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.753 * [taylor]: Taking taylor expansion of -1 in N 1.754 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.754 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.754 * [taylor]: Taking taylor expansion of 1/3 in N 1.754 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.754 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.754 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.754 * [taylor]: Taking taylor expansion of N in N 1.829 * * * [progress]: simplifying candidates 1.830 * [simplify]: Simplifying using # : (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (+ 1/3 1/3) (+ 1 1) (* N N) (* (cbrt N) (cbrt N)) (+ 1 1) (+ (log (cbrt N)) (log (cbrt N))) (log (* (cbrt N) (cbrt N))) (exp (* (cbrt N) (cbrt N))) (* N N) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (cbrt (* (cbrt N) (cbrt N))) (* (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (sqrt (* (cbrt N) (cbrt N))) (sqrt (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* 1 1) (* (cbrt N) (cbrt N)) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* 2 1/3) (* 2 1) (* (cbrt N) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt N) (cbrt (sqrt N))) (* (cbrt N) (cbrt 1)) (* (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (cbrt N) (sqrt (cbrt N))) (* (cbrt N) 1) (* (cbrt (cbrt N)) (cbrt N)) (* (cbrt (sqrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt (cbrt N)) (cbrt N)) (* (sqrt (cbrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 2/3) (pow (/ 1 N) -2/3) (* (pow (cbrt -1) 2) (pow (pow N 2) 1/3)) 1.834 * * [simplify]: iteration 0 : 115 enodes (cost 288 ) 1.838 * * [simplify]: iteration 1 : 472 enodes (cost 261 ) 1.851 * * [simplify]: iteration 2 : 2959 enodes (cost 238 ) 1.916 * * [simplify]: iteration 3 : 5003 enodes (cost 235 ) 1.918 * [simplify]: Simplified to: (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) 2/3 2 (pow N 2) (pow N 2/3) 2 (* 2/3 (log N)) (* 2/3 (log N)) (exp (pow N 2/3)) (pow N 2) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (cbrt (* (cbrt N) (cbrt N))) (pow N 2) (fabs (pow N 1/3)) (fabs (pow N 1/3)) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) 1 (pow N 2/3) (pow (cbrt (cbrt N)) 4) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (pow N 1/3) (pow N 1/3) 1 (pow N 2/3) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (pow N 1/3) (pow N 1/3) 2/3 2 (* (cbrt N) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt N) (cbrt (sqrt N))) (pow N 1/3) (pow (cbrt (cbrt N)) 5) (pow (sqrt (cbrt N)) 3) (pow N 1/3) (pow (cbrt (cbrt N)) 4) (* (cbrt N) (cbrt (sqrt N))) (pow N 2/3) (pow (cbrt (cbrt N)) 4) (pow (sqrt (cbrt N)) 3) (pow N 2/3) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 2/3) (pow (/ 1 N) -2/3) (* (pow (cbrt -1) 2) (pow (pow N 2) 1/3)) 1.918 * * * [progress]: adding candidates to table 2.075 * [progress]: [Phase 3 of 3] Extracting. 2.075 * * [regime]: Finding splitpoints for: (# # # # # #) 2.076 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.076 * * * * [regimes]: Trying to branch on N from (# # # # # #) 2.094 * * * [regime]: Found split indices: #