6.414 * [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 ) 0.033 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.033 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.046 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.047 * * * [progress]: generating series expansions 0.047 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.047 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.048 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.048 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.048 * [taylor]: Taking taylor expansion of (atan N) in N 0.048 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.048 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.048 * [taylor]: Taking taylor expansion of (atan N) in N 0.051 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.051 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.051 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.051 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.051 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.055 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.055 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.059 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.059 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.059 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.059 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.059 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.059 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.059 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.059 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.059 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.059 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.060 * * * [progress]: simplifying candidates 0.060 * [simplify]: Simplifying using # : (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.063 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.065 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.068 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.073 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.086 * * [simplify]: iteration 4 : 2491 enodes (cost 142 ) 0.137 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.138 * [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)) 0.138 * * * [progress]: adding candidates to table 0.188 * * [progress]: iteration 2 / 4 0.188 * * * [progress]: picking best candidate 0.189 * * * * [pick]: Picked # 0.189 * * * [progress]: localizing error 0.195 * * * [progress]: generating rewritten candidates 0.195 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.196 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.206 * * * [progress]: generating series expansions 0.206 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.206 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.206 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.207 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.207 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.207 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.207 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.208 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.208 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.208 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.209 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.209 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.209 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [taylor]: Taking taylor expansion of 1.0 in N 0.209 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [taylor]: Taking taylor expansion of 1.0 in N 0.219 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.219 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.219 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.219 * [taylor]: Taking taylor expansion of 1.0 in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.220 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.220 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.220 * [taylor]: Taking taylor expansion of 1.0 in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.230 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.231 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.231 * [taylor]: Taking taylor expansion of -1 in N 0.231 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.231 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.231 * [taylor]: Taking taylor expansion of 1.0 in N 0.231 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.231 * [taylor]: Taking taylor expansion of N in N 0.231 * [taylor]: Taking taylor expansion of N in N 0.232 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.232 * [taylor]: Taking taylor expansion of -1 in N 0.232 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.232 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.232 * [taylor]: Taking taylor expansion of 1.0 in N 0.232 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.232 * [taylor]: Taking taylor expansion of N in N 0.232 * [taylor]: Taking taylor expansion of N in N 0.255 * * * [progress]: simplifying candidates 0.256 * [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)) 0.259 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.263 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.273 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.313 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.314 * [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) 0.314 * * * [progress]: adding candidates to table 0.370 * * [progress]: iteration 3 / 4 0.370 * * * [progress]: picking best candidate 0.379 * * * * [pick]: Picked # 0.379 * * * [progress]: localizing error 0.388 * * * [progress]: generating rewritten candidates 0.389 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.409 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 0.411 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 0.413 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 0.419 * * * [progress]: generating series expansions 0.419 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.419 * [approximate]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in (N) around 0 0.419 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 0.419 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 0.419 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 0.419 * [taylor]: Taking taylor expansion of 1/3 in N 0.419 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 0.419 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.419 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.419 * [taylor]: Taking taylor expansion of N in N 0.419 * [taylor]: Taking taylor expansion of 1.0 in N 0.422 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 0.422 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 0.422 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 0.422 * [taylor]: Taking taylor expansion of 1/3 in N 0.422 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 0.422 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.422 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.422 * [taylor]: Taking taylor expansion of N in N 0.422 * [taylor]: Taking taylor expansion of 1.0 in N 0.469 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in (N) around 0 0.469 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 0.469 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 0.469 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 0.469 * [taylor]: Taking taylor expansion of 1/3 in N 0.469 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 0.469 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) 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 0.470 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 0.470 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 0.471 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 0.471 * [taylor]: Taking taylor expansion of 1/3 in N 0.471 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 0.471 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.471 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.471 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.471 * [taylor]: Taking taylor expansion of N in N 0.471 * [taylor]: Taking taylor expansion of 1.0 in N 0.494 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in (N) around 0 0.494 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 0.494 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 0.494 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 0.494 * [taylor]: Taking taylor expansion of 1/3 in N 0.494 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 0.495 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) 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 (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 0.496 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 0.496 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 0.496 * [taylor]: Taking taylor expansion of 1/3 in N 0.496 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 0.496 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.496 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.496 * [taylor]: Taking taylor expansion of 1.0 in N 0.496 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.529 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 0.529 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.529 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.529 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.529 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.529 * [taylor]: Taking taylor expansion of 1/3 in N 0.530 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.530 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.530 * [taylor]: Taking taylor expansion of N in N 0.530 * [taylor]: Taking taylor expansion of 1.0 in N 0.532 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.532 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.532 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 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 1.0)) 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 0.566 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.566 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.566 * [taylor]: Taking taylor expansion of 1/3 in N 0.566 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.566 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.566 * [taylor]: Taking taylor expansion of 1.0 in N 0.567 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.567 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.567 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.567 * [taylor]: Taking taylor expansion of 1/3 in N 0.567 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.567 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.567 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.567 * [taylor]: Taking taylor expansion of N in N 0.567 * [taylor]: Taking taylor expansion of 1.0 in N 0.586 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.586 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.586 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.586 * [taylor]: Taking taylor expansion of 1/3 in N 0.586 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.586 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.586 * [taylor]: Taking taylor expansion of 1.0 in N 0.586 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.586 * [taylor]: Taking taylor expansion of N in N 0.588 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.588 * [taylor]: Taking taylor expansion of 1/3 in N 0.588 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.589 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.589 * [taylor]: Taking taylor expansion of 1.0 in N 0.589 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.589 * [taylor]: Taking taylor expansion of N in N 0.619 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 0.620 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.620 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.620 * [taylor]: Taking taylor expansion of 1/3 in N 0.620 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.620 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.620 * [taylor]: Taking taylor expansion of N in N 0.620 * [taylor]: Taking taylor expansion of 1.0 in N 0.622 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.622 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.622 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.622 * [taylor]: Taking taylor expansion of 1/3 in N 0.622 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.622 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.622 * [taylor]: Taking taylor expansion of N in N 0.622 * [taylor]: Taking taylor expansion of 1.0 in N 0.656 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.656 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.656 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.656 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.656 * [taylor]: Taking taylor expansion of 1/3 in N 0.656 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 0.656 * [taylor]: Taking taylor expansion of 1.0 in N 0.657 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.657 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.657 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.657 * [taylor]: Taking taylor expansion of 1/3 in N 0.657 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.657 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.657 * [taylor]: Taking taylor expansion of N in N 0.658 * [taylor]: Taking taylor expansion of 1.0 in N 0.677 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.677 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.677 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.677 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.677 * [taylor]: Taking taylor expansion of 1/3 in N 0.677 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.677 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.677 * [taylor]: Taking taylor expansion of 1.0 in N 0.677 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.677 * [taylor]: Taking taylor expansion of N in N 0.679 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.679 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.679 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.679 * [taylor]: Taking taylor expansion of 1/3 in N 0.679 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.679 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.679 * [taylor]: Taking taylor expansion of 1.0 in N 0.679 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.679 * [taylor]: Taking taylor expansion of N in N 0.710 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 0.710 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.710 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.710 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.710 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.710 * [taylor]: Taking taylor expansion of 1/3 in N 0.710 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.710 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.710 * [taylor]: Taking taylor expansion of N in N 0.710 * [taylor]: Taking taylor expansion of 1.0 in N 0.712 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.712 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.712 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.712 * [taylor]: Taking taylor expansion of 1/3 in N 0.712 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.712 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.712 * [taylor]: Taking taylor expansion of N in N 0.712 * [taylor]: Taking taylor expansion of 1.0 in N 0.745 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.745 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.745 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.745 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.745 * [taylor]: Taking taylor expansion of 1/3 in N 0.745 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.746 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.746 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.746 * [taylor]: Taking taylor expansion of N in N 0.746 * [taylor]: Taking taylor expansion of 1.0 in N 0.747 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.747 * [taylor]: Taking taylor expansion of 1/3 in N 0.747 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.747 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.747 * [taylor]: Taking taylor expansion of N in N 0.747 * [taylor]: Taking taylor expansion of 1.0 in N 0.771 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.771 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.771 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.771 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.771 * [taylor]: Taking taylor expansion of 1/3 in N 0.771 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.771 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.771 * [taylor]: Taking taylor expansion of 1.0 in N 0.771 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.771 * [taylor]: Taking taylor expansion of N in N 0.773 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.773 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.773 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.773 * [taylor]: Taking taylor expansion of 1/3 in N 0.773 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.774 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.774 * [taylor]: Taking taylor expansion of 1.0 in N 0.774 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.774 * [taylor]: Taking taylor expansion of N in N 0.798 * * * [progress]: simplifying candidates 0.800 * [simplify]: Simplifying using # : (+ 1/3 1/3) (+ 1 1) (* (+ N 1.0) (+ N 1.0)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (+ 1 1) (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (exp (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (+ N 1.0) (+ N 1.0)) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (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))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* 1 1) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* 2 1/3) (* 2 1) (* (cbrt (+ N 1.0)) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (+ N 1.0)) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt 1)) (* (cbrt (+ N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (* (cbrt (+ N 1.0)) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) 1) (* (cbrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ N 1.0))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (- (+ (pow 1.0 1/3) (+ (* 0.6666666666666666 (* N (pow 1.0 1/3))) (* 0.5555555555555556 (* (pow N 2) (pow 1.0 1/3))))) (* 0.6666666666666666 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (pow (/ -1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 0.806 * * [simplify]: iteration 0 : 305 enodes (cost 792 ) 0.811 * * [simplify]: iteration 1 : 1006 enodes (cost 747 ) 0.834 * * [simplify]: iteration 2 : 4433 enodes (cost 693 ) 0.945 * * [simplify]: iteration 3 : 5002 enodes (cost 689 ) 0.949 * [simplify]: Simplified to: 2/3 2 (pow (cbrt (+ N 1.0)) 6) (pow (sqrt (cbrt (+ N 1.0))) 4) 2 (* 2 (log (cbrt (+ N 1.0)))) (* 2 (log (cbrt (+ N 1.0)))) (exp (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (pow (cbrt (+ N 1.0)) 6) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (pow (cbrt (+ N 1.0)) 6) (fabs (cbrt (+ N 1.0))) (fabs (cbrt (+ N 1.0))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (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))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) (pow (cbrt (cbrt (+ N 1.0))) 4) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (+ N 1.0)) (cbrt (+ N 1.0)) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (cbrt (+ N 1.0)) (cbrt (+ N 1.0)) 2/3 2 (* (cbrt (+ N 1.0)) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (+ N 1.0)) (cbrt (sqrt (+ N 1.0)))) (cbrt (+ N 1.0)) (cbrt (+ N 1.0)) (pow (cbrt (cbrt (+ N 1.0))) 5) (pow (sqrt (cbrt (+ N 1.0))) 3) (cbrt (+ N 1.0)) (pow (cbrt (cbrt (+ N 1.0))) 4) (* (cbrt (+ N 1.0)) (cbrt (sqrt (+ N 1.0)))) (pow (sqrt (cbrt (+ N 1.0))) 4) (pow (sqrt (cbrt (+ N 1.0))) 4) (pow (cbrt (cbrt (+ N 1.0))) 4) (pow (sqrt (cbrt (+ N 1.0))) 3) (pow (sqrt (cbrt (+ N 1.0))) 4) (* (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) 1 (cbrt (+ N 1.0)) 1 (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) 1 (cbrt (+ N 1.0)) 1 (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) 1 (cbrt (+ N 1.0)) 1 (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.5555555555555556) (* (pow (/ 1 (pow 1.0 5)) 1/3) 0.6666666666666666))) (* (+ (* 0.6666666666666666 N) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (pow (/ -1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 0.950 * * * [progress]: adding candidates to table 1.228 * * [progress]: iteration 4 / 4 1.228 * * * [progress]: picking best candidate 1.241 * * * * [pick]: Picked # 1.241 * * * [progress]: localizing error 1.258 * * * [progress]: generating rewritten candidates 1.258 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1 1) 1.260 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 1.276 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.296 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 1.305 * * * [progress]: generating series expansions 1.305 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1 1) 1.306 * [approximate]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in (N) around 0 1.306 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N 1.306 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N 1.306 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N 1.306 * [taylor]: Taking taylor expansion of 1/3 in N 1.306 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N 1.306 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 1.306 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.306 * [taylor]: Taking taylor expansion of N in N 1.306 * [taylor]: Taking taylor expansion of 1.0 in N 1.310 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N 1.310 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N 1.310 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N 1.310 * [taylor]: Taking taylor expansion of 1/3 in N 1.310 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N 1.310 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 1.310 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.310 * [taylor]: Taking taylor expansion of N in N 1.310 * [taylor]: Taking taylor expansion of 1.0 in N 1.390 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0 1.390 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 1.390 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 1.390 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 1.390 * [taylor]: Taking taylor expansion of 1/3 in N 1.390 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 1.390 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.390 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.390 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.390 * [taylor]: Taking taylor expansion of N in N 1.391 * [taylor]: Taking taylor expansion of 1.0 in N 1.392 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 1.392 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 1.392 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 1.392 * [taylor]: Taking taylor expansion of 1/3 in N 1.392 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 1.392 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.392 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.392 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.392 * [taylor]: Taking taylor expansion of N in N 1.392 * [taylor]: Taking taylor expansion of 1.0 in N 1.450 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0 1.450 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 1.450 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 1.450 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 1.450 * [taylor]: Taking taylor expansion of 1/3 in N 1.450 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 1.450 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.450 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.450 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.450 * [taylor]: Taking taylor expansion of N in N 1.450 * [taylor]: Taking taylor expansion of 1.0 in N 1.451 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 1.451 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 1.451 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 1.451 * [taylor]: Taking taylor expansion of 1/3 in N 1.451 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 1.451 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.451 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.451 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.451 * [taylor]: Taking taylor expansion of N in N 1.452 * [taylor]: Taking taylor expansion of 1.0 in N 1.502 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 1.502 * [approximate]: Taking taylor expansion of (pow (/ (- (pow N 2) 1.0) (- N 1.0)) 1/3) in (N) around 0 1.502 * [taylor]: Taking taylor expansion of (pow (/ (- (pow N 2) 1.0) (- N 1.0)) 1/3) in N 1.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (pow N 2) 1.0) (- N 1.0))))) in N 1.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (pow N 2) 1.0) (- N 1.0)))) in N 1.502 * [taylor]: Taking taylor expansion of 1/3 in N 1.502 * [taylor]: Taking taylor expansion of (log (/ (- (pow N 2) 1.0) (- N 1.0))) in N 1.502 * [taylor]: Taking taylor expansion of (/ (- (pow N 2) 1.0) (- N 1.0)) in N 1.502 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 1.502 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.502 * [taylor]: Taking taylor expansion of N in N 1.502 * [taylor]: Taking taylor expansion of 1.0 in N 1.503 * [taylor]: Taking taylor expansion of (- N 1.0) in N 1.503 * [taylor]: Taking taylor expansion of N in N 1.503 * [taylor]: Taking taylor expansion of 1.0 in N 1.506 * [taylor]: Taking taylor expansion of (pow (/ (- (pow N 2) 1.0) (- N 1.0)) 1/3) in N 1.507 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (pow N 2) 1.0) (- N 1.0))))) in N 1.507 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (pow N 2) 1.0) (- N 1.0)))) in N 1.507 * [taylor]: Taking taylor expansion of 1/3 in N 1.507 * [taylor]: Taking taylor expansion of (log (/ (- (pow N 2) 1.0) (- N 1.0))) in N 1.507 * [taylor]: Taking taylor expansion of (/ (- (pow N 2) 1.0) (- N 1.0)) in N 1.507 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 1.507 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.507 * [taylor]: Taking taylor expansion of N in N 1.507 * [taylor]: Taking taylor expansion of 1.0 in N 1.507 * [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 1.547 * [approximate]: Taking taylor expansion of (pow (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)) 1/3) in (N) around 0 1.547 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)) 1/3) in N 1.547 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0))))) in N 1.547 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)))) in N 1.547 * [taylor]: Taking taylor expansion of 1/3 in N 1.547 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0))) in N 1.547 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)) in N 1.547 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.547 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.547 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.547 * [taylor]: Taking taylor expansion of N in N 1.548 * [taylor]: Taking taylor expansion of 1.0 in N 1.548 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1.0) in N 1.548 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.548 * [taylor]: Taking taylor expansion of N in N 1.548 * [taylor]: Taking taylor expansion of 1.0 in N 1.550 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)) 1/3) in N 1.550 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0))))) in N 1.550 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)))) in N 1.550 * [taylor]: Taking taylor expansion of 1/3 in N 1.550 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0))) in N 1.550 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)) in N 1.550 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.550 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.550 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.550 * [taylor]: Taking taylor expansion of N in N 1.550 * [taylor]: Taking taylor expansion of 1.0 in N 1.550 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1.0) in N 1.550 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.550 * [taylor]: Taking taylor expansion of N in N 1.551 * [taylor]: Taking taylor expansion of 1.0 in N 1.579 * [approximate]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 1.579 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) 1/3)) in N 1.579 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 1.579 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.579 * [taylor]: Taking taylor expansion of -1 in N 1.581 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) 1/3) in N 1.581 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0))))) in N 1.581 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)))) in N 1.581 * [taylor]: Taking taylor expansion of 1/3 in N 1.581 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0))) in N 1.581 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) in N 1.581 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.581 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.581 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.581 * [taylor]: Taking taylor expansion of N in N 1.581 * [taylor]: Taking taylor expansion of 1.0 in N 1.581 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.581 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.581 * [taylor]: Taking taylor expansion of N in N 1.582 * [taylor]: Taking taylor expansion of 1.0 in N 1.583 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) 1/3)) in N 1.583 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 1.583 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.583 * [taylor]: Taking taylor expansion of -1 in N 1.584 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) 1/3) in N 1.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0))))) in N 1.584 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)))) in N 1.584 * [taylor]: Taking taylor expansion of 1/3 in N 1.584 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0))) in N 1.584 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) in N 1.584 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.585 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.585 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.585 * [taylor]: Taking taylor expansion of N in N 1.585 * [taylor]: Taking taylor expansion of 1.0 in N 1.585 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.585 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.585 * [taylor]: Taking taylor expansion of N in N 1.585 * [taylor]: Taking taylor expansion of 1.0 in N 1.629 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 1.629 * [approximate]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in (N) around 0 1.629 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 1.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 1.629 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 1.629 * [taylor]: Taking taylor expansion of 1/3 in N 1.629 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 1.629 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 1.629 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.629 * [taylor]: Taking taylor expansion of N in N 1.629 * [taylor]: Taking taylor expansion of 1.0 in N 1.631 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 1.631 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 1.631 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 1.631 * [taylor]: Taking taylor expansion of 1/3 in N 1.631 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 1.632 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 1.632 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.632 * [taylor]: Taking taylor expansion of N in N 1.632 * [taylor]: Taking taylor expansion of 1.0 in N 1.672 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in (N) around 0 1.672 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 1.672 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 1.672 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 1.672 * [taylor]: Taking taylor expansion of 1/3 in N 1.672 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 1.672 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 1.672 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.672 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.672 * [taylor]: Taking taylor expansion of N in N 1.673 * [taylor]: Taking taylor expansion of 1.0 in N 1.674 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 1.674 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 1.674 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 1.674 * [taylor]: Taking taylor expansion of 1/3 in N 1.674 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 1.674 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 1.674 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.674 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.674 * [taylor]: Taking taylor expansion of N in N 1.674 * [taylor]: Taking taylor expansion of 1.0 in N 1.703 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in (N) around 0 1.703 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 1.703 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 1.703 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 1.703 * [taylor]: Taking taylor expansion of 1/3 in N 1.703 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 1.703 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 1.703 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.703 * [taylor]: Taking taylor expansion of 1.0 in N 1.703 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.703 * [taylor]: Taking taylor expansion of N in N 1.705 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 1.705 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 1.705 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 1.705 * [taylor]: Taking taylor expansion of 1/3 in N 1.705 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 1.705 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 1.705 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.705 * [taylor]: Taking taylor expansion of 1.0 in N 1.705 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.705 * [taylor]: Taking taylor expansion of N in N 1.732 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 1.732 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 1.732 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 1.732 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 1.732 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 1.732 * [taylor]: Taking taylor expansion of 1/3 in N 1.732 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.732 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.732 * [taylor]: Taking taylor expansion of N in N 1.732 * [taylor]: Taking taylor expansion of 1.0 in N 1.734 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 1.734 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 1.734 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 1.734 * [taylor]: Taking taylor expansion of 1/3 in N 1.734 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.734 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.734 * [taylor]: Taking taylor expansion of N in N 1.734 * [taylor]: Taking taylor expansion of 1.0 in N 1.777 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 1.777 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 1.777 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 1.777 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 1.777 * [taylor]: Taking taylor expansion of 1/3 in N 1.777 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.777 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.777 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.777 * [taylor]: Taking taylor expansion of N in N 1.777 * [taylor]: Taking taylor expansion of 1.0 in N 1.778 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 1.778 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 1.778 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 1.778 * [taylor]: Taking taylor expansion of 1/3 in N 1.778 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.778 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.778 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.778 * [taylor]: Taking taylor expansion of N in N 1.779 * [taylor]: Taking taylor expansion of 1.0 in N 1.798 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 1.798 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 1.798 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 1.798 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 1.798 * [taylor]: Taking taylor expansion of 1/3 in N 1.798 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.798 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.798 * [taylor]: Taking taylor expansion of 1.0 in N 1.798 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.798 * [taylor]: Taking taylor expansion of N in N 1.800 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 1.800 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 1.800 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 1.800 * [taylor]: Taking taylor expansion of 1/3 in N 1.800 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.800 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.800 * [taylor]: Taking taylor expansion of 1.0 in N 1.800 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.800 * [taylor]: Taking taylor expansion of N in N 1.825 * * * [progress]: simplifying candidates 1.829 * [simplify]: Simplifying using # : (log (cbrt (- (* N N) (* 1.0 1.0)))) (exp (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt 1) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0)) (cbrt (- N 1.0)) (cbrt (- (pow (* N N) 3) (pow (* 1.0 1.0) 3))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))) (cbrt (- (* (* N N) (* N N)) (* (* 1.0 1.0) (* 1.0 1.0)))) (cbrt (+ (* N N) (* 1.0 1.0))) (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (* (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (- (log (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (- N 1.0)))) (log (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (exp (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (/ (- (* N N) (* 1.0 1.0)) (- N 1.0)) (* (cbrt (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (cbrt (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))))) (cbrt (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (sqrt (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (sqrt (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (- (cbrt (- (* N N) (* 1.0 1.0)))) (- (cbrt (- N 1.0))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt 1)) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (sqrt N) (sqrt 1.0)))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt 1)) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) 1) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt 1)) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (sqrt N) (sqrt 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt 1)) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) 1) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (cbrt 1) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (cbrt (- N 1.0)))) (/ (cbrt 1) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (sqrt (- N 1.0)))) (/ (cbrt 1) (cbrt 1)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ (cbrt 1) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (sqrt N) (sqrt 1.0)))) (/ (cbrt 1) (cbrt 1)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ (cbrt 1) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (cbrt (- N 1.0)))) (/ (cbrt 1) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt 1) 1) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ (cbrt (+ N 1.0)) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (- N 1.0)) (cbrt (cbrt (- N 1.0)))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (- N 1.0)) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (+ N 1.0)) (cbrt 1)) (/ (cbrt (- N 1.0)) (cbrt (- N 1.0))) (/ (cbrt (+ N 1.0)) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (- N 1.0)) (cbrt (- (sqrt N) (sqrt 1.0)))) (/ (cbrt (+ N 1.0)) (cbrt 1)) (/ (cbrt (- N 1.0)) (cbrt (- N 1.0))) (/ (cbrt (+ N 1.0)) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (- N 1.0)) (cbrt (cbrt (- N 1.0)))) (/ (cbrt (+ N 1.0)) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (- N 1.0)) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (+ N 1.0)) 1) (/ (cbrt (- N 1.0)) (cbrt (- N 1.0))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt 1)) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (sqrt N) (sqrt 1.0)))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt 1)) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) 1) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt 1)) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (sqrt N) (sqrt 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt 1)) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) 1) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ 1 (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (cbrt (- N 1.0)))) (/ 1 (cbrt (sqrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (sqrt (- N 1.0)))) (/ 1 (cbrt 1)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ 1 (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (sqrt N) (sqrt 1.0)))) (/ 1 (cbrt 1)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ 1 (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (cbrt (- N 1.0)))) (/ 1 (sqrt (cbrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (sqrt (cbrt (- N 1.0)))) (/ 1 1) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ 1 (cbrt (- N 1.0))) (/ (cbrt (- N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt 1)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt 1)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) 1) (/ (cbrt (- N 1.0)) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (- N 1.0)) (cbrt (sqrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (- N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (/ (cbrt (- N 1.0)) (cbrt (- N 1.0))) (/ (cbrt (- N 1.0)) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (- N 1.0)) (sqrt (cbrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (- N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (pow N 3) (pow 1.0 3)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0)))))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (* 1.0 1.0)))) (+ 1/3 1/3) (+ 1 1) (* (+ N 1.0) (+ N 1.0)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (+ 1 1) (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (exp (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (+ N 1.0) (+ N 1.0)) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (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))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (- N 1.0)) (cbrt (+ (* 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(sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* 2 1/3) (* 2 1) (* (cbrt (+ N 1.0)) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (+ N 1.0)) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt 1)) (* (cbrt (+ N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (* (cbrt (+ N 1.0)) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) 1) (* (cbrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) 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(pow (/ 1 (pow N 10)) 1/3)))) (- (pow (/ -1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3)))) (- (+ (pow 1.0 1/3) (* 0.3333333333333333 (* N (pow 1.0 1/3)))) (* 0.1111111111111111 (* (pow N 2) (pow 1.0 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (* 0.3333333333333333 (* (pow (/ -1 (pow N 2)) 1/3) (/ 1 (cbrt -1)))) (* (pow (* -1 N) 1/3) (/ 1 (cbrt -1)))) (* 0.1111111111111111 (* (pow (/ -1 (pow N 5)) 1/3) (/ 1 (cbrt -1))))) (- (+ (pow 1.0 1/3) (+ (* 0.6666666666666666 (* N (pow 1.0 1/3))) (* 0.5555555555555556 (* (pow N 2) (pow 1.0 1/3))))) (* 0.6666666666666666 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (pow (/ -1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 1.839 * * [simplify]: iteration 0 : 646 enodes (cost 1927 ) 1.851 * * [simplify]: iteration 1 : 2415 enodes (cost 1866 ) 1.897 * * [simplify]: iteration 2 : 5001 enodes (cost 1789 ) 1.905 * [simplify]: Simplified to: (log (cbrt (- (* N N) (* 1.0 1.0)))) (exp (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) 1 (cbrt (- (* N N) 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N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (sqrt N) (sqrt 1.0)))) (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (sqrt N) (sqrt 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ 1 (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (cbrt (- N 1.0)))) (/ 1 (cbrt (sqrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (sqrt (- N 1.0)))) 1 (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ 1 (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (sqrt N) (sqrt 1.0)))) 1 (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ 1 (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (cbrt (- N 1.0)))) (/ 1 (sqrt (cbrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (sqrt (cbrt (- N 1.0)))) 1 (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ 1 (cbrt (- N 1.0))) (/ (cbrt (- N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (sqrt (- N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ (sqrt N) (sqrt 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (sqrt (cbrt (- N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (/ (cbrt (- N 1.0)) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (- N 1.0)) (cbrt (sqrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (- N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) 1 (/ (cbrt (- N 1.0)) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (- N 1.0)) (sqrt (cbrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (- N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (pow N 3) (pow 1.0 3)))) 1 (* (cbrt (- N 1.0)) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0)))))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (* 1.0 1.0)))) 2/3 2 (* (+ N 1.0) (+ N 1.0)) (pow (sqrt (cbrt (+ N 1.0))) 4) 2 (* 2 (log (cbrt (+ N 1.0)))) (* 2 (log (cbrt (+ N 1.0)))) (exp (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (+ N 1.0) (+ N 1.0)) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (+ N 1.0) (+ N 1.0)) (fabs (cbrt (+ N 1.0))) (fabs (cbrt (+ N 1.0))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (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))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) (pow (cbrt (cbrt (+ N 1.0))) 4) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (+ N 1.0)) (cbrt (+ N 1.0)) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (cbrt (+ N 1.0)) (cbrt (+ N 1.0)) 2/3 2 (* (cbrt (+ N 1.0)) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (+ N 1.0)) (cbrt (sqrt (+ N 1.0)))) (cbrt (+ N 1.0)) (cbrt (+ N 1.0)) (* (cbrt (+ N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (pow (sqrt (cbrt (+ N 1.0))) 3) (cbrt (+ N 1.0)) (pow (cbrt (cbrt (+ N 1.0))) 4) (* (cbrt (+ N 1.0)) (cbrt (sqrt (+ N 1.0)))) (pow (sqrt (cbrt (+ N 1.0))) 4) (pow (sqrt (cbrt (+ N 1.0))) 4) (pow (cbrt (cbrt (+ N 1.0))) 4) (pow (sqrt (cbrt (+ N 1.0))) 3) (pow (sqrt (cbrt (+ N 1.0))) 4) (* (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) 1 (cbrt (+ N 1.0)) 1 (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (- (+ (* 0.05555555555555555 (* (pow N 4) (pow -1.0 1/3))) (pow (- 1.0) 1/3)) (+ (* 1/6 (* (pow N 4) (pow (/ 1 (pow -1.0 5)) 1/3))) (* 0.3333333333333333 (* (pow N 2) (pow -1.0 1/3))))) (- (pow (/ 1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3)))) (- (pow (/ -1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3)))) (+ (* (pow 1.0 1/3) (- (* 0.3333333333333333 N) (* 0.1111111111111111 (pow N 2)))) (pow 1.0 1/3)) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (+ (* (/ 1 (cbrt -1)) (- (pow (* -1 N) 1/3) (* 0.1111111111111111 (pow (/ -1 (pow N 5)) 1/3)))) (/ (* 0.3333333333333333 (pow (/ -1 (pow N 2)) 1/3)) (cbrt -1))) (+ (* (pow 1.0 1/3) (+ (* 0.5555555555555556 (pow N 2)) (* 0.6666666666666666 N))) (- (pow 1.0 1/3) (* 0.6666666666666666 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3))))) (- (+ (pow (/ 1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (pow (/ -1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (+ (* (pow 1.0 1/3) (+ (* 0.05555555555555555 (pow N 2)) (* 0.3333333333333333 N))) (- (pow 1.0 1/3) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3))))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 1.907 * * * [progress]: adding candidates to table 2.488 * [progress]: [Phase 3 of 3] Extracting. 2.488 * * [regime]: Finding splitpoints for: (# # # # # #) 2.489 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.489 * * * * [regimes]: Trying to branch on N from (# # # # # #) 2.515 * * * [regime]: Found split indices: #