5.045 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.045 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.047 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.048 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.048 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.048 * * [progress]: iteration 1 / 4 0.048 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.059 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.068 * * * [progress]: generating series expansions 0.068 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.068 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.068 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.069 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.069 * [taylor]: Taking taylor expansion of N in N 0.069 * [taylor]: Taking taylor expansion of 1.0 in N 0.069 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.069 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.069 * [taylor]: Taking taylor expansion of N in N 0.069 * [taylor]: Taking taylor expansion of 1.0 in N 0.082 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.082 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.082 * [taylor]: Taking taylor expansion of 1.0 in N 0.083 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.083 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.083 * [taylor]: Taking taylor expansion of 1.0 in N 0.095 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.095 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.095 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.095 * [taylor]: Taking taylor expansion of 1.0 in N 0.095 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.095 * [taylor]: Taking taylor expansion of N in N 0.096 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.096 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.096 * [taylor]: Taking taylor expansion of 1.0 in N 0.096 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.096 * [taylor]: Taking taylor expansion of N in N 0.109 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.110 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.110 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.110 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.110 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.110 * [taylor]: Taking taylor expansion of N in N 0.110 * [taylor]: Taking taylor expansion of 1.0 in N 0.110 * [taylor]: Taking taylor expansion of (log N) in N 0.110 * [taylor]: Taking taylor expansion of N in N 0.111 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.111 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.111 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.111 * [taylor]: Taking taylor expansion of N in N 0.111 * [taylor]: Taking taylor expansion of 1.0 in N 0.114 * [taylor]: Taking taylor expansion of (log N) in N 0.114 * [taylor]: Taking taylor expansion of N in N 0.132 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.132 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.132 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.132 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.132 * [taylor]: Taking taylor expansion of N in N 0.133 * [taylor]: Taking taylor expansion of 1.0 in N 0.133 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.133 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.133 * [taylor]: Taking taylor expansion of N in N 0.134 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.134 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.134 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.134 * [taylor]: Taking taylor expansion of N in N 0.134 * [taylor]: Taking taylor expansion of 1.0 in N 0.134 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.134 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.134 * [taylor]: Taking taylor expansion of N in N 0.163 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.163 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.163 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.163 * [taylor]: Taking taylor expansion of 1.0 in N 0.163 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.164 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.164 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.164 * [taylor]: Taking taylor expansion of -1 in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.165 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.165 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.165 * [taylor]: Taking taylor expansion of 1.0 in N 0.165 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.166 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.166 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.166 * [taylor]: Taking taylor expansion of -1 in N 0.166 * [taylor]: Taking taylor expansion of N in N 0.202 * * * [progress]: simplifying candidates 0.203 * [simplify]: Simplifying using # : (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.208 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.212 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.229 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.321 * * [simplify]: iteration 3 : 5001 enodes (cost 345 ) 0.323 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (fma (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N)) (* (log N) (log N))) (log (/ 1 N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (log (/ 1 N)) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) 0.323 * * * [progress]: adding candidates to table 0.445 * * [progress]: iteration 2 / 4 0.445 * * * [progress]: picking best candidate 0.450 * * * * [pick]: Picked # 0.450 * * * [progress]: localizing error 0.454 * * * [progress]: generating rewritten candidates 0.455 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.458 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.467 * * * [progress]: generating series expansions 0.467 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.468 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.468 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.468 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.468 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.468 * [taylor]: Taking taylor expansion of N in N 0.468 * [taylor]: Taking taylor expansion of 1.0 in N 0.468 * [taylor]: Taking taylor expansion of N in N 0.469 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.469 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.469 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.469 * [taylor]: Taking taylor expansion of N in N 0.469 * [taylor]: Taking taylor expansion of 1.0 in N 0.469 * [taylor]: Taking taylor expansion of N in N 0.485 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.485 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.485 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.485 * [taylor]: Taking taylor expansion of N in N 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.485 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.485 * [taylor]: Taking taylor expansion of N in N 0.486 * [taylor]: Taking taylor expansion of 1.0 in N 0.487 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.487 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.487 * [taylor]: Taking taylor expansion of N in N 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.487 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.487 * [taylor]: Taking taylor expansion of N in N 0.488 * [taylor]: Taking taylor expansion of 1.0 in N 0.512 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.512 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.512 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.512 * [taylor]: Taking taylor expansion of -1 in N 0.512 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.512 * [taylor]: Taking taylor expansion of N in N 0.512 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.512 * [taylor]: Taking taylor expansion of 1.0 in N 0.513 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.513 * [taylor]: Taking taylor expansion of N in N 0.515 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.516 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.516 * [taylor]: Taking taylor expansion of -1 in N 0.516 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.516 * [taylor]: Taking taylor expansion of N in N 0.516 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.516 * [taylor]: Taking taylor expansion of 1.0 in N 0.516 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.516 * [taylor]: Taking taylor expansion of N in N 0.547 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.547 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.547 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.547 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.547 * [taylor]: Taking taylor expansion of N in N 0.547 * [taylor]: Taking taylor expansion of 1.0 in N 0.547 * [taylor]: Taking taylor expansion of N in N 0.548 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.548 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.548 * [taylor]: Taking taylor expansion of N in N 0.548 * [taylor]: Taking taylor expansion of 1.0 in N 0.548 * [taylor]: Taking taylor expansion of N in N 0.560 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.560 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.560 * [taylor]: Taking taylor expansion of N in N 0.560 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.560 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.560 * [taylor]: Taking taylor expansion of N in N 0.560 * [taylor]: Taking taylor expansion of 1.0 in N 0.560 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.560 * [taylor]: Taking taylor expansion of N in N 0.560 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.560 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.560 * [taylor]: Taking taylor expansion of N in N 0.560 * [taylor]: Taking taylor expansion of 1.0 in N 0.574 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.574 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.574 * [taylor]: Taking taylor expansion of -1 in N 0.574 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.574 * [taylor]: Taking taylor expansion of N in N 0.574 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.574 * [taylor]: Taking taylor expansion of 1.0 in N 0.574 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.574 * [taylor]: Taking taylor expansion of N in N 0.575 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.575 * [taylor]: Taking taylor expansion of -1 in N 0.575 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.575 * [taylor]: Taking taylor expansion of N in N 0.575 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.575 * [taylor]: Taking taylor expansion of 1.0 in N 0.575 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.575 * [taylor]: Taking taylor expansion of N in N 0.597 * * * [progress]: simplifying candidates 0.598 * [simplify]: Simplifying using # : (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ 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)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.603 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.607 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.620 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.697 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.699 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (fma 2 (log (cbrt (+ N 1.0))) (log (/ 1 (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ 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)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (fma N (* 1.0 (- 1.0 N)) (pow N 3)) (* N (- N 1.0)) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) 0.699 * * * [progress]: adding candidates to table 0.821 * * [progress]: iteration 3 / 4 0.821 * * * [progress]: picking best candidate 0.827 * * * * [pick]: Picked # 0.827 * * * [progress]: localizing error 0.840 * * * [progress]: generating rewritten candidates 0.840 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.874 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.875 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2) 0.875 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 0.880 * * * [progress]: generating series expansions 0.880 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.881 * [approximate]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) in (N) around 0 0.881 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) in N 0.881 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) in N 0.881 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0))) in N 0.881 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.881 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.881 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.881 * [taylor]: Taking taylor expansion of 1/3 in N 0.881 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.881 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.881 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.881 * [taylor]: Taking taylor expansion of N in N 0.882 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.882 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.882 * [taylor]: Taking taylor expansion of N in N 0.882 * [taylor]: Taking taylor expansion of 1.0 in N 0.885 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) in N 0.885 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))) in N 0.885 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.885 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.885 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.885 * [taylor]: Taking taylor expansion of 1/3 in N 0.885 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.885 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.885 * [taylor]: Taking taylor expansion of N in N 0.886 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.886 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.886 * [taylor]: Taking taylor expansion of N in N 0.886 * [taylor]: Taking taylor expansion of 1.0 in N 0.888 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) in N 0.888 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) in N 0.888 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0))) in N 0.888 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.888 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.888 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.888 * [taylor]: Taking taylor expansion of 1/3 in N 0.888 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.888 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.889 * [taylor]: Taking taylor expansion of N in N 0.890 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.890 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.890 * [taylor]: Taking taylor expansion of N in N 0.890 * [taylor]: Taking taylor expansion of 1.0 in N 0.892 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) in N 0.892 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))) in N 0.892 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.892 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.892 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.892 * [taylor]: Taking taylor expansion of 1/3 in N 0.892 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.892 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.892 * [taylor]: Taking taylor expansion of N in N 0.893 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.893 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.893 * [taylor]: Taking taylor expansion of N in N 0.893 * [taylor]: Taking taylor expansion of 1.0 in N 0.946 * [approximate]: Taking taylor expansion of (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 0.946 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) in N 0.946 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 0.946 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 0.946 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 0.946 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 0.946 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 0.946 * [taylor]: Taking taylor expansion of 1/3 in N 0.946 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 0.946 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.946 * [taylor]: Taking taylor expansion of N in N 0.947 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.947 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.947 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.947 * [taylor]: Taking taylor expansion of N in N 0.947 * [taylor]: Taking taylor expansion of 1.0 in N 0.952 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 0.952 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 0.952 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.952 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.952 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.952 * [taylor]: Taking taylor expansion of 1/3 in N 0.952 * [taylor]: Taking taylor expansion of (log N) in N 0.952 * [taylor]: Taking taylor expansion of N in N 0.952 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.952 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.952 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.952 * [taylor]: Taking taylor expansion of N in N 0.953 * [taylor]: Taking taylor expansion of 1.0 in N 0.956 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) in N 0.956 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 0.956 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 0.956 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 0.956 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 0.956 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 0.956 * [taylor]: Taking taylor expansion of 1/3 in N 0.956 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 0.956 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.956 * [taylor]: Taking taylor expansion of N in N 0.957 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.957 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.957 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.957 * [taylor]: Taking taylor expansion of N in N 0.957 * [taylor]: Taking taylor expansion of 1.0 in N 0.961 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 0.961 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 0.961 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.961 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.961 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.961 * [taylor]: Taking taylor expansion of 1/3 in N 0.961 * [taylor]: Taking taylor expansion of (log N) in N 0.961 * [taylor]: Taking taylor expansion of N in N 0.962 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.962 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.962 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.962 * [taylor]: Taking taylor expansion of N in N 0.962 * [taylor]: Taking taylor expansion of 1.0 in N 1.004 * [approximate]: Taking taylor expansion of (+ (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 1.004 * [taylor]: Taking taylor expansion of (+ (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) in N 1.004 * [taylor]: Taking taylor expansion of (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 1.005 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 1.005 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 1.005 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.005 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.005 * [taylor]: Taking taylor expansion of -1 in N 1.007 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 1.007 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.007 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.007 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.007 * [taylor]: Taking taylor expansion of 1/3 in N 1.007 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.007 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.007 * [taylor]: Taking taylor expansion of N in N 1.008 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.008 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.008 * [taylor]: Taking taylor expansion of 1.0 in N 1.008 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.008 * [taylor]: Taking taylor expansion of N in N 1.017 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 1.017 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 1.017 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 1.017 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.017 * [taylor]: Taking taylor expansion of -1 in N 1.018 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 1.018 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.018 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.018 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.018 * [taylor]: Taking taylor expansion of 1/3 in N 1.018 * [taylor]: Taking taylor expansion of (log N) in N 1.018 * [taylor]: Taking taylor expansion of N in N 1.019 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.019 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.019 * [taylor]: Taking taylor expansion of 1.0 in N 1.019 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.019 * [taylor]: Taking taylor expansion of N in N 1.026 * [taylor]: Taking taylor expansion of (+ (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) in N 1.026 * [taylor]: Taking taylor expansion of (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 1.026 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 1.026 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.026 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.026 * [taylor]: Taking taylor expansion of -1 in N 1.028 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 1.029 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.029 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.029 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.029 * [taylor]: Taking taylor expansion of 1/3 in N 1.029 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.029 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.029 * [taylor]: Taking taylor expansion of N in N 1.029 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.029 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.030 * [taylor]: Taking taylor expansion of 1.0 in N 1.030 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.030 * [taylor]: Taking taylor expansion of N in N 1.038 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 1.039 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 1.039 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 1.039 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.039 * [taylor]: Taking taylor expansion of -1 in N 1.040 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 1.040 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.040 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.040 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.040 * [taylor]: Taking taylor expansion of 1/3 in N 1.040 * [taylor]: Taking taylor expansion of (log N) in N 1.040 * [taylor]: Taking taylor expansion of N in N 1.041 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.041 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.041 * [taylor]: Taking taylor expansion of 1.0 in N 1.041 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.041 * [taylor]: Taking taylor expansion of N in N 1.119 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.119 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.119 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.119 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.119 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.119 * [taylor]: Taking taylor expansion of 1/3 in N 1.119 * [taylor]: Taking taylor expansion of (log N) in N 1.119 * [taylor]: Taking taylor expansion of N in N 1.119 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.119 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.119 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.119 * [taylor]: Taking taylor expansion of 1/3 in N 1.119 * [taylor]: Taking taylor expansion of (log N) in N 1.119 * [taylor]: Taking taylor expansion of N in N 1.173 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.173 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.173 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.173 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.173 * [taylor]: Taking taylor expansion of 1/3 in N 1.173 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.173 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.173 * [taylor]: Taking taylor expansion of N in N 1.174 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.174 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.174 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.174 * [taylor]: Taking taylor expansion of 1/3 in N 1.174 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.174 * [taylor]: Taking taylor expansion of N in N 1.224 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.224 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.224 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.224 * [taylor]: Taking taylor expansion of -1 in N 1.225 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.225 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.225 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.225 * [taylor]: Taking taylor expansion of 1/3 in N 1.225 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.225 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.225 * [taylor]: Taking taylor expansion of N in N 1.231 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.231 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.231 * [taylor]: Taking taylor expansion of -1 in N 1.232 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.232 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.232 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.232 * [taylor]: Taking taylor expansion of 1/3 in N 1.232 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.232 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.232 * [taylor]: Taking taylor expansion of N in N 1.294 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2) 1.294 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.294 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.294 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.294 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.294 * [taylor]: Taking taylor expansion of 1/3 in N 1.294 * [taylor]: Taking taylor expansion of (log N) in N 1.294 * [taylor]: Taking taylor expansion of N in N 1.295 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.295 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.295 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.295 * [taylor]: Taking taylor expansion of 1/3 in N 1.295 * [taylor]: Taking taylor expansion of (log N) in N 1.295 * [taylor]: Taking taylor expansion of N in N 1.347 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.347 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.347 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.348 * [taylor]: Taking taylor expansion of 1/3 in N 1.348 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.348 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.348 * [taylor]: Taking taylor expansion of N in N 1.348 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.349 * [taylor]: Taking taylor expansion of 1/3 in N 1.349 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.349 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.349 * [taylor]: Taking taylor expansion of N in N 1.405 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.405 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.405 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.405 * [taylor]: Taking taylor expansion of -1 in N 1.406 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.406 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.406 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.406 * [taylor]: Taking taylor expansion of 1/3 in N 1.406 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.406 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.406 * [taylor]: Taking taylor expansion of N in N 1.407 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.407 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.407 * [taylor]: Taking taylor expansion of -1 in N 1.408 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.408 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.408 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.408 * [taylor]: Taking taylor expansion of 1/3 in N 1.408 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.408 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.408 * [taylor]: Taking taylor expansion of N in N 1.477 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 1.477 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.477 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.477 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.477 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.477 * [taylor]: Taking taylor expansion of 1/3 in N 1.477 * [taylor]: Taking taylor expansion of (log N) in N 1.477 * [taylor]: Taking taylor expansion of N in N 1.478 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.478 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.478 * [taylor]: Taking taylor expansion of 1/3 in N 1.478 * [taylor]: Taking taylor expansion of (log N) in N 1.478 * [taylor]: Taking taylor expansion of N in N 1.525 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.525 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.525 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.525 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.525 * [taylor]: Taking taylor expansion of 1/3 in N 1.525 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.525 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.525 * [taylor]: Taking taylor expansion of N in N 1.526 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.526 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.526 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.526 * [taylor]: Taking taylor expansion of 1/3 in N 1.526 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.526 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.526 * [taylor]: Taking taylor expansion of N in N 1.582 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.582 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.582 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.582 * [taylor]: Taking taylor expansion of -1 in N 1.583 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.583 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.583 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.583 * [taylor]: Taking taylor expansion of 1/3 in N 1.583 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.583 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.583 * [taylor]: Taking taylor expansion of N in N 1.584 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.584 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.584 * [taylor]: Taking taylor expansion of -1 in N 1.585 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.585 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.585 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.585 * [taylor]: Taking taylor expansion of 1/3 in N 1.585 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.585 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.585 * [taylor]: Taking taylor expansion of N in N 1.651 * * * [progress]: simplifying candidates 1.653 * [simplify]: Simplifying using # : (expm1 (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (log1p (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (* (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N))) (log (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (exp (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (* (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (* (* (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (sqrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (sqrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (pow (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) 3) (pow (log (/ (sqrt (+ N 1.0)) (cbrt N))) 3)) (+ (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (- (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (- (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (* (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ 1 (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ 1 (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ 1 (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ 1 (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 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(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 (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (+ (/ N (pow (sqrt 1.0) 2)) (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))))) (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4)))) (- (+ (log (- (* +nan.0 (pow (/ 1 N) 1/3)))) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow N 2)) 1/3))))) (log (- (* +nan.0 (* (pow (/ -1 N) 1/3) (/ 1 (cbrt -1))))))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 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)) 1.661 * * [simplify]: iteration 0 : 515 enodes (cost 1353 ) 1.668 * * [simplify]: iteration 1 : 1641 enodes (cost 1284 ) 1.693 * * [simplify]: iteration 2 : 5001 enodes (cost 1181 ) 1.697 * [simplify]: Simplified to: (expm1 (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (log1p (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (/ (* (/ (sqrt (+ N 1.0)) (cbrt N)) (sqrt (+ N 1.0))) (pow N 2/3)) (log (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (/ (* (/ (sqrt (+ N 1.0)) (cbrt N)) (sqrt (+ N 1.0))) (pow N 2/3)) (* (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (pow (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) 3) (sqrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (sqrt 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(/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt 1)))) (- (+ (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (+ (* 2/3 (log N)) (* 2 (log (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (cbrt N))))) (- (+ (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (* 2 (log (cbrt N)))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (cbrt (* (cbrt N) (cbrt N))))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (cbrt (sqrt N)))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (cbrt 1))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (* 2 (log (cbrt (cbrt N))))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (sqrt (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (- (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt N))) (- (log (/ (sqrt (+ N 1.0)) (cbrt N))) (* 2/3 (log N))) (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (- (* 2/3 (log N)) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (expm1 (cbrt N)) (log1p (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (expm1 (cbrt N)) (log1p (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (expm1 (cbrt N)) (log1p (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (+ (/ N 1.0) (+ (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (- (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) (* (/ 1/2 1.0) (/ (pow N 2) 1.0))))) (- (+ (log (- (* +nan.0 (pow (/ 1 N) 1/3)))) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) (- (/ (/ +nan.0 N) N) (/ +nan.0 N))) (- (+ (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow N 2)) 1/3))))) (log (- (* +nan.0 (* (pow (/ -1 N) 1/3) (/ 1 (cbrt -1))))))) (- (/ (/ +nan.0 N) N) (/ +nan.0 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)) 1.698 * * * [progress]: adding candidates to table 2.055 * * [progress]: iteration 4 / 4 2.055 * * * [progress]: picking best candidate 2.062 * * * * [pick]: Picked # 2.063 * * * [progress]: localizing error 2.076 * * * [progress]: generating rewritten candidates 2.076 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.082 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.087 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 2.087 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2) 2.094 * * * [progress]: generating series expansions 2.094 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.094 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 2.094 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 2.094 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.094 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.094 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.094 * [taylor]: Taking taylor expansion of 1/3 in N 2.094 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.094 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.095 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.095 * [taylor]: Taking taylor expansion of N in N 2.095 * [taylor]: Taking taylor expansion of 1.0 in N 2.095 * [taylor]: Taking taylor expansion of N in N 2.097 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 2.097 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.097 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.097 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.097 * [taylor]: Taking taylor expansion of 1/3 in N 2.097 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.097 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.097 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.097 * [taylor]: Taking taylor expansion of N in N 2.097 * [taylor]: Taking taylor expansion of 1.0 in N 2.097 * [taylor]: Taking taylor expansion of N in N 2.127 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 2.127 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 2.127 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.127 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.127 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.127 * [taylor]: Taking taylor expansion of 1/3 in N 2.127 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.127 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.127 * [taylor]: Taking taylor expansion of N in N 2.127 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.127 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.127 * [taylor]: Taking taylor expansion of N in N 2.127 * [taylor]: Taking taylor expansion of 1.0 in N 2.136 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 2.136 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.136 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.136 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.136 * [taylor]: Taking taylor expansion of 1/3 in N 2.136 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.136 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.136 * [taylor]: Taking taylor expansion of N in N 2.136 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.136 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.136 * [taylor]: Taking taylor expansion of N in N 2.136 * [taylor]: Taking taylor expansion of 1.0 in N 2.209 * [approximate]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 2.209 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 2.209 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.209 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 2.210 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.210 * [taylor]: Taking taylor expansion of -1 in N 2.211 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.211 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.211 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.211 * [taylor]: Taking taylor expansion of 1/3 in N 2.211 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.211 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.211 * [taylor]: Taking taylor expansion of N in N 2.211 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.211 * [taylor]: Taking taylor expansion of 1.0 in N 2.211 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.211 * [taylor]: Taking taylor expansion of N in N 2.218 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 2.218 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.218 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 2.218 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.218 * [taylor]: Taking taylor expansion of -1 in N 2.220 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.220 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.220 * [taylor]: Taking taylor expansion of 1/3 in N 2.220 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.220 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.220 * [taylor]: Taking taylor expansion of N in N 2.220 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.220 * [taylor]: Taking taylor expansion of 1.0 in N 2.220 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.220 * [taylor]: Taking taylor expansion of N in N 2.315 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.315 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 2.315 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 2.315 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.315 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.315 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.315 * [taylor]: Taking taylor expansion of 1/3 in N 2.315 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.315 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.315 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.315 * [taylor]: Taking taylor expansion of N in N 2.315 * [taylor]: Taking taylor expansion of 1.0 in N 2.315 * [taylor]: Taking taylor expansion of N in N 2.317 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 2.317 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.317 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.318 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.318 * [taylor]: Taking taylor expansion of 1/3 in N 2.318 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.318 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.318 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.318 * [taylor]: Taking taylor expansion of N in N 2.318 * [taylor]: Taking taylor expansion of 1.0 in N 2.318 * [taylor]: Taking taylor expansion of N in N 2.347 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 2.348 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 2.348 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.348 * [taylor]: Taking taylor expansion of 1/3 in N 2.348 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.348 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.348 * [taylor]: Taking taylor expansion of N in N 2.348 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.348 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.348 * [taylor]: Taking taylor expansion of N in N 2.348 * [taylor]: Taking taylor expansion of 1.0 in N 2.357 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 2.357 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.357 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.357 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.357 * [taylor]: Taking taylor expansion of 1/3 in N 2.357 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.357 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.357 * [taylor]: Taking taylor expansion of N in N 2.357 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.357 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.357 * [taylor]: Taking taylor expansion of N in N 2.357 * [taylor]: Taking taylor expansion of 1.0 in N 2.431 * [approximate]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 2.431 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 2.431 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.431 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 2.431 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.431 * [taylor]: Taking taylor expansion of -1 in N 2.432 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.432 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.432 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.432 * [taylor]: Taking taylor expansion of 1/3 in N 2.432 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.432 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.432 * [taylor]: Taking taylor expansion of N in N 2.432 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.432 * [taylor]: Taking taylor expansion of 1.0 in N 2.432 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.432 * [taylor]: Taking taylor expansion of N in N 2.440 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 2.440 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.440 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 2.440 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.440 * [taylor]: Taking taylor expansion of -1 in N 2.441 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.441 * [taylor]: Taking taylor expansion of 1/3 in N 2.441 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.441 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.441 * [taylor]: Taking taylor expansion of N in N 2.442 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.442 * [taylor]: Taking taylor expansion of 1.0 in N 2.442 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.442 * [taylor]: Taking taylor expansion of N in N 2.530 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 2.530 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 2.530 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.530 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.530 * [taylor]: Taking taylor expansion of 1/3 in N 2.530 * [taylor]: Taking taylor expansion of (log N) in N 2.530 * [taylor]: Taking taylor expansion of N in N 2.530 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.530 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.530 * [taylor]: Taking taylor expansion of 1/3 in N 2.530 * [taylor]: Taking taylor expansion of (log N) in N 2.531 * [taylor]: Taking taylor expansion of N in N 2.584 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 2.584 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.584 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.584 * [taylor]: Taking taylor expansion of 1/3 in N 2.584 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.584 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.584 * [taylor]: Taking taylor expansion of N in N 2.585 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.585 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.585 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.585 * [taylor]: Taking taylor expansion of 1/3 in N 2.585 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.585 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.585 * [taylor]: Taking taylor expansion of N in N 2.642 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 2.642 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.642 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.642 * [taylor]: Taking taylor expansion of -1 in N 2.643 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.643 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.643 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.643 * [taylor]: Taking taylor expansion of 1/3 in N 2.643 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.643 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.643 * [taylor]: Taking taylor expansion of N in N 2.644 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.644 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.644 * [taylor]: Taking taylor expansion of -1 in N 2.645 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.645 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.645 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.645 * [taylor]: Taking taylor expansion of 1/3 in N 2.645 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.645 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.645 * [taylor]: Taking taylor expansion of N in N 2.712 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2) 2.712 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 2.712 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.712 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.712 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.712 * [taylor]: Taking taylor expansion of 1/3 in N 2.712 * [taylor]: Taking taylor expansion of (log N) in N 2.712 * [taylor]: Taking taylor expansion of N in N 2.713 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.713 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.713 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.713 * [taylor]: Taking taylor expansion of 1/3 in N 2.713 * [taylor]: Taking taylor expansion of (log N) in N 2.713 * [taylor]: Taking taylor expansion of N in N 2.760 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 2.760 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.760 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.760 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.760 * [taylor]: Taking taylor expansion of 1/3 in N 2.760 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.760 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.760 * [taylor]: Taking taylor expansion of N in N 2.761 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.761 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.761 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.761 * [taylor]: Taking taylor expansion of 1/3 in N 2.761 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.761 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.761 * [taylor]: Taking taylor expansion of N in N 2.817 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 2.817 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.817 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.817 * [taylor]: Taking taylor expansion of -1 in N 2.818 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.818 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.818 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.818 * [taylor]: Taking taylor expansion of 1/3 in N 2.818 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.818 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.818 * [taylor]: Taking taylor expansion of N in N 2.819 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.819 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.819 * [taylor]: Taking taylor expansion of -1 in N 2.820 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.820 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.820 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.820 * [taylor]: Taking taylor expansion of 1/3 in N 2.820 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.820 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.820 * [taylor]: Taking taylor expansion of N in N 2.887 * * * [progress]: simplifying candidates 2.890 * [simplify]: Simplifying using # : (expm1 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log1p (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (* (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (sqrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt 1))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (cbrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1)) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt 1))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (cbrt (sqrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) 1)) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (cbrt 1) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ (cbrt 1) (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (log (/ (cbrt 1) (cbrt 1))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (cbrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ (cbrt 1) (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) (log (/ (cbrt 1) 1)) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (cbrt 1) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ (cbrt 1) (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (log (/ (cbrt 1) (cbrt 1))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (cbrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (log (/ (cbrt 1) (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) (log (/ (cbrt 1) 1)) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (sqrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt 1))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) 1)) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt 1))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (cbrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) 1)) (log (/ 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adding candidates to table 3.416 * [progress]: [Phase 3 of 3] Extracting. 3.416 * * [regime]: Finding splitpoints for: (# # # # #) 3.418 * * * [regime-changes]: Trying 1 branch expressions: (N) 3.418 * * * * [regimes]: Trying to branch on N from (# # # # #) 3.443 * * * [regime]: Found split indices: #