6.146 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.047 * * * [progress]: [2/2] Setting up program. 0.049 * [progress]: [Phase 2 of 3] Improving. 0.049 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.050 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.051 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.052 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.053 * * [simplify]: iteration done : 10 enodes (cost 7 ) 0.053 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.053 * * [progress]: iteration 1 / 4 0.053 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.062 * * * [progress]: generating rewritten candidates 0.062 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.068 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.072 * * * [progress]: generating series expansions 0.072 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.072 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.072 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.072 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.072 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.072 * [taylor]: Taking taylor expansion of 1.0 in N 0.073 * [taylor]: Taking taylor expansion of (log N) in N 0.073 * [taylor]: Taking taylor expansion of N in N 0.073 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.073 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.073 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.073 * [taylor]: Taking taylor expansion of N in N 0.073 * [taylor]: Taking taylor expansion of 1.0 in N 0.074 * [taylor]: Taking taylor expansion of (log N) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.093 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.093 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.093 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.093 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.093 * [taylor]: Taking taylor expansion of N in N 0.094 * [taylor]: Taking taylor expansion of 1.0 in N 0.094 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.094 * [taylor]: Taking taylor expansion of N in N 0.095 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.095 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 0.095 * [taylor]: Taking taylor expansion of 1.0 in N 0.096 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.096 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.096 * [taylor]: Taking taylor expansion of N in N 0.132 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.132 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.132 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.132 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.133 * [taylor]: Taking taylor expansion of 1.0 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)) in N 0.134 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.134 * [taylor]: Taking taylor expansion of -1 in N 0.134 * [taylor]: Taking taylor expansion of N in N 0.134 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.134 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.134 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.134 * [taylor]: Taking taylor expansion of 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 0.135 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.135 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.135 * [taylor]: Taking taylor expansion of -1 in N 0.135 * [taylor]: Taking taylor expansion of N in N 0.170 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.170 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.170 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.170 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.170 * [taylor]: Taking taylor expansion of 1.0 in N 0.171 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.171 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.171 * [taylor]: Taking taylor expansion of N in N 0.171 * [taylor]: Taking taylor expansion of 1.0 in N 0.183 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.183 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.183 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.184 * [taylor]: Taking taylor expansion of 1.0 in N 0.184 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [taylor]: Taking taylor expansion of 1.0 in N 0.197 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.198 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.198 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.198 * [taylor]: Taking taylor expansion of 1.0 in N 0.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.204 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.204 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.204 * [taylor]: Taking taylor expansion of 1.0 in N 0.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.219 * * * [progress]: simplifying candidates 0.220 * [simplify]: Simplifying using # : (/ (+ 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)) (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))) (- (+ (* 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 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)))) 0.222 * * [simplify]: iteration 0 : 101 enodes (cost 510 ) 0.238 * * [simplify]: iteration 1 : 213 enodes (cost 488 ) 0.286 * * [simplify]: iteration 2 : 498 enodes (cost 445 ) 0.431 * * [simplify]: iteration 3 : 1320 enodes (cost 443 ) 1.823 * * [simplify]: iteration 4 : 4906 enodes (cost 438 ) 2.429 * * [simplify]: iteration done : 5000 enodes (cost 438 ) 2.429 * [simplify]: Simplified to: (/ (+ 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)) (+ (* (log N) (log N)) (* (+ (log (+ N 1.0)) (log N)) (log (+ N 1.0)))) (- (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)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ 1.0 N)) (- (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)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ 1.0 N)) 0 (log (+ 1.0 N)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ 1.0 N)) (log (log (+ N 1.0))) (+ 1.0 N) (* (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))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (+ (log N) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (log N) (- (/ 1.0 N) (/ 0.5 (* N N)))) 2.430 * * * [progress]: adding candidates to table 2.527 * * [progress]: iteration 2 / 4 2.527 * * * [progress]: picking best candidate 2.535 * * * * [pick]: Picked # 2.535 * * * [progress]: localizing error 2.544 * * * [progress]: generating rewritten candidates 2.544 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.860 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.865 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.868 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.906 * * * [progress]: generating series expansions 2.906 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.907 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 2.907 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 2.907 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 2.907 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.907 * [taylor]: Taking taylor expansion of 1.0 in N 2.907 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.907 * [taylor]: Taking taylor expansion of N in N 2.907 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.907 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.907 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.907 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.907 * [taylor]: Taking taylor expansion of N in N 2.908 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.908 * [taylor]: Taking taylor expansion of 0.5 in N 2.908 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.908 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.908 * [taylor]: Taking taylor expansion of N in N 2.909 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 2.909 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 2.909 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.909 * [taylor]: Taking taylor expansion of 1.0 in N 2.909 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.909 * [taylor]: Taking taylor expansion of N in N 2.909 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.909 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.909 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.909 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.909 * [taylor]: Taking taylor expansion of N in N 2.910 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.910 * [taylor]: Taking taylor expansion of 0.5 in N 2.910 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.910 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.910 * [taylor]: Taking taylor expansion of N in N 2.920 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 2.920 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 2.920 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.920 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.920 * [taylor]: Taking taylor expansion of 1.0 in N 2.920 * [taylor]: Taking taylor expansion of N in N 2.920 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.920 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.920 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.920 * [taylor]: Taking taylor expansion of N in N 2.920 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.920 * [taylor]: Taking taylor expansion of 0.5 in N 2.920 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.920 * [taylor]: Taking taylor expansion of N in N 2.920 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 2.920 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.920 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.920 * [taylor]: Taking taylor expansion of 1.0 in N 2.920 * [taylor]: Taking taylor expansion of N in N 2.920 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.920 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.920 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.920 * [taylor]: Taking taylor expansion of N in N 2.920 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.920 * [taylor]: Taking taylor expansion of 0.5 in N 2.920 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.920 * [taylor]: Taking taylor expansion of N in N 2.928 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 2.928 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 2.928 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 2.928 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.928 * [taylor]: Taking taylor expansion of 0.5 in N 2.928 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.928 * [taylor]: Taking taylor expansion of N in N 2.928 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.928 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.928 * [taylor]: Taking taylor expansion of 1.0 in N 2.928 * [taylor]: Taking taylor expansion of N in N 2.929 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.929 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.929 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.929 * [taylor]: Taking taylor expansion of N in N 2.929 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 2.929 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 2.929 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.929 * [taylor]: Taking taylor expansion of 0.5 in N 2.929 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.929 * [taylor]: Taking taylor expansion of N in N 2.929 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.929 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.929 * [taylor]: Taking taylor expansion of 1.0 in N 2.929 * [taylor]: Taking taylor expansion of N in N 2.929 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.929 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.929 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.929 * [taylor]: Taking taylor expansion of N in N 2.938 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.938 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 2.938 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 2.938 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.938 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.938 * [taylor]: Taking taylor expansion of N in N 2.939 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 2.939 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.939 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.939 * [taylor]: Taking taylor expansion of N in N 2.954 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 2.954 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.954 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.954 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.954 * [taylor]: Taking taylor expansion of N in N 2.954 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.954 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.954 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.954 * [taylor]: Taking taylor expansion of N in N 2.966 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 2.966 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 2.966 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 2.966 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.966 * [taylor]: Taking taylor expansion of N in N 2.966 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 2.966 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 2.966 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.966 * [taylor]: Taking taylor expansion of N in N 2.978 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.978 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 2.978 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 2.978 * [taylor]: Taking taylor expansion of 0.5 in N 2.978 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.978 * [taylor]: Taking taylor expansion of N in N 2.979 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 2.979 * [taylor]: Taking taylor expansion of 0.5 in N 2.979 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.979 * [taylor]: Taking taylor expansion of N in N 2.986 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 2.986 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.987 * [taylor]: Taking taylor expansion of 0.5 in N 2.987 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.987 * [taylor]: Taking taylor expansion of N in N 2.987 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.987 * [taylor]: Taking taylor expansion of 0.5 in N 2.987 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.987 * [taylor]: Taking taylor expansion of N in N 2.995 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 2.995 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.995 * [taylor]: Taking taylor expansion of 0.5 in N 2.995 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.995 * [taylor]: Taking taylor expansion of N in N 2.995 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.995 * [taylor]: Taking taylor expansion of 0.5 in N 2.995 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.995 * [taylor]: Taking taylor expansion of N in N 3.003 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.004 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in (N) around 0 3.004 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 3.004 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.004 * [taylor]: Taking taylor expansion of 1.0 in N 3.004 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.004 * [taylor]: Taking taylor expansion of N in N 3.004 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.004 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.004 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.004 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.004 * [taylor]: Taking taylor expansion of N in N 3.005 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 3.005 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.005 * [taylor]: Taking taylor expansion of 1.0 in N 3.005 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.005 * [taylor]: Taking taylor expansion of N in N 3.005 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.005 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.005 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.005 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.005 * [taylor]: Taking taylor expansion of N in N 3.041 * [approximate]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in (N) around 0 3.041 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.041 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.041 * [taylor]: Taking taylor expansion of 1.0 in N 3.041 * [taylor]: Taking taylor expansion of N in N 3.041 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.041 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.041 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.041 * [taylor]: Taking taylor expansion of N in N 3.041 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.041 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.041 * [taylor]: Taking taylor expansion of 1.0 in N 3.041 * [taylor]: Taking taylor expansion of N in N 3.041 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.041 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.041 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.041 * [taylor]: Taking taylor expansion of N in N 3.063 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in (N) around 0 3.063 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.063 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.063 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.063 * [taylor]: Taking taylor expansion of 1.0 in N 3.063 * [taylor]: Taking taylor expansion of N in N 3.063 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.063 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.063 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.063 * [taylor]: Taking taylor expansion of N in N 3.063 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.063 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.063 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.063 * [taylor]: Taking taylor expansion of 1.0 in N 3.063 * [taylor]: Taking taylor expansion of N in N 3.063 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.063 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.063 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.063 * [taylor]: Taking taylor expansion of N in N 3.088 * * * [progress]: simplifying candidates 3.090 * [simplify]: Simplifying using # : (/ (* (exp (/ 1.0 N)) (exp (/ 0.3333333333333333 (pow N 3)))) (exp (/ 0.5 (* N N)))) (/ (exp (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (exp (/ 0.5 (* N N)))) (log (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (exp (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (* (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))))) (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (* (* (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (- (* (+ (* 1.0 (pow N 3)) (* N 0.3333333333333333)) (* N N)) (* (* N (pow N 3)) 0.5)) (* (* N (pow N 3)) (* N N)) (- (* (+ (pow (/ 1.0 N) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (* N N)) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) 0.5)) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (* N N)) (- (* (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)))) (* N N)) (* (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) 0.5)) (* (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (* N N)) (- (pow (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))))) (- (/ 0.5 (* N N))) (- (* (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (+ (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (/ 0.5 (* N N)))) (- (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (/ (sqrt 0.5) N)) (- (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (/ (sqrt 0.5) N)) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (log (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (* (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 0.3333333333333333) (cbrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N (/ 3 2))) (/ (cbrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 0.3333333333333333) (cbrt (pow N 3))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 1 1) (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 0.3333333333333333 1) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (- (log 0.5) (+ (log N) (log N))) (- (log 0.5) (log (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (* (exp (/ 1.0 N)) (exp (/ 0.3333333333333333 (pow N 3)))) (log (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (* (* (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (+ (* 1.0 (pow N 3)) (* N 0.3333333333333333)) (* N (pow N 3)) (+ (pow (/ 1.0 N) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)))) (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 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)))) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) 3.095 * * [simplify]: iteration 0 : 201 enodes (cost 1812 ) 3.152 * * [simplify]: iteration 1 : 464 enodes (cost 1577 ) 3.383 * * [simplify]: iteration 2 : 1669 enodes (cost 1491 ) 3.836 * * [simplify]: iteration done : 5000 enodes (cost 1491 ) 3.837 * [simplify]: Simplified to: (exp (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (exp (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (log (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (exp (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (* (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))))) (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (pow (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) 3) (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (- (* (+ (* 1.0 (pow N 3)) (* N 0.3333333333333333)) (* N N)) (* (pow N 4) 0.5)) (pow N 6) (- (* (+ (pow (/ 1.0 N) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (* N N)) (* 0.5 (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.3333333333333333 (pow N 3)) (- (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)))))) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.3333333333333333 (pow N 3)) (- (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)))) (pow N 2)) (- (* (- (* (/ 1.0 N) (/ 1.0 N)) (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6))) (pow N 2)) (* (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) 0.5)) (* (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (* N N)) (- (pow (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 0.5 (pow N 2)) (+ (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (* (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (- (/ 0.5 (* N N))) (- (* (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (/ 0.5 (/ (pow N 4) 0.5))) (+ (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (+ (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (/ 0.5 (* N N)))) (- (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (/ (sqrt 0.5) N)) (- (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (/ (sqrt 0.5) N)) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (* (cbrt 0.3333333333333333) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N 3/2)) (/ (cbrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (pow N 2)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (pow 0.5 3) (pow N 6)) (/ (pow 0.5 3) (pow N 6)) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (/ (pow 0.5 3) (pow N 6)) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (pow N 2)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (exp (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (log (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (pow (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) 3) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (+ (* 1.0 (pow N 3)) (* N 0.3333333333333333)) (pow N 4) (+ (pow (/ 1.0 N) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.3333333333333333 (pow N 3)) (- (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)))) (- (* (/ 1.0 N) (/ 1.0 N)) (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6))) (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) 3.838 * * * [progress]: adding candidates to table 4.068 * * [progress]: iteration 3 / 4 4.068 * * * [progress]: picking best candidate 4.073 * * * * [pick]: Picked # 4.074 * * * [progress]: localizing error 4.078 * * * [progress]: generating rewritten candidates 4.078 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.082 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.092 * * * [progress]: generating series expansions 4.092 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.092 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 4.092 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 4.092 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.092 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.092 * [taylor]: Taking taylor expansion of N in N 4.092 * [taylor]: Taking taylor expansion of 1.0 in N 4.092 * [taylor]: Taking taylor expansion of N in N 4.093 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 4.093 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.093 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.093 * [taylor]: Taking taylor expansion of N in N 4.093 * [taylor]: Taking taylor expansion of 1.0 in N 4.093 * [taylor]: Taking taylor expansion of N in N 4.112 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 4.112 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 4.112 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.112 * [taylor]: Taking taylor expansion of N in N 4.112 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.112 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.112 * [taylor]: Taking taylor expansion of N in N 4.113 * [taylor]: Taking taylor expansion of 1.0 in N 4.115 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 4.115 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.115 * [taylor]: Taking taylor expansion of N in N 4.115 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.115 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.115 * [taylor]: Taking taylor expansion of N in N 4.116 * [taylor]: Taking taylor expansion of 1.0 in N 4.142 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 4.142 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.142 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.143 * [taylor]: Taking taylor expansion of -1 in N 4.143 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.143 * [taylor]: Taking taylor expansion of N in N 4.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.143 * [taylor]: Taking taylor expansion of 1.0 in N 4.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.143 * [taylor]: Taking taylor expansion of N in N 4.146 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.146 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.146 * [taylor]: Taking taylor expansion of -1 in N 4.146 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.146 * [taylor]: Taking taylor expansion of N in N 4.146 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.146 * [taylor]: Taking taylor expansion of 1.0 in N 4.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.146 * [taylor]: Taking taylor expansion of N in N 4.179 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.179 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 4.179 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.179 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.179 * [taylor]: Taking taylor expansion of N in N 4.179 * [taylor]: Taking taylor expansion of 1.0 in N 4.179 * [taylor]: Taking taylor expansion of N in N 4.180 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.180 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.180 * [taylor]: Taking taylor expansion of N in N 4.180 * [taylor]: Taking taylor expansion of 1.0 in N 4.180 * [taylor]: Taking taylor expansion of N in N 4.194 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 4.194 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.194 * [taylor]: Taking taylor expansion of N in N 4.194 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.194 * [taylor]: Taking taylor expansion of N in N 4.194 * [taylor]: Taking taylor expansion of 1.0 in N 4.194 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.194 * [taylor]: Taking taylor expansion of N in N 4.195 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.195 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.195 * [taylor]: Taking taylor expansion of N in N 4.195 * [taylor]: Taking taylor expansion of 1.0 in N 4.218 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 4.218 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.218 * [taylor]: Taking taylor expansion of -1 in N 4.218 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.218 * [taylor]: Taking taylor expansion of N in N 4.218 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.218 * [taylor]: Taking taylor expansion of 1.0 in N 4.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.218 * [taylor]: Taking taylor expansion of N in N 4.219 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.219 * [taylor]: Taking taylor expansion of -1 in N 4.219 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.219 * [taylor]: Taking taylor expansion of N in N 4.219 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.219 * [taylor]: Taking taylor expansion of 1.0 in N 4.219 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.219 * [taylor]: Taking taylor expansion of N in N 4.246 * * * [progress]: simplifying candidates 4.247 * [simplify]: Simplifying using # : (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))) (- (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) 4.251 * * [simplify]: iteration 0 : 108 enodes (cost 723 ) 4.268 * * [simplify]: iteration 1 : 230 enodes (cost 690 ) 4.322 * * [simplify]: iteration 2 : 584 enodes (cost 637 ) 4.603 * * [simplify]: iteration 3 : 1748 enodes (cost 624 ) 5.598 * * [simplify]: iteration done : 5000 enodes (cost 624 ) 5.598 * [simplify]: Simplified to: (* 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))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (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)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (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 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))) (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)) (+ 1.0 N) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* 1.0 (- 1.0 N)) (* N N))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 5.599 * * * [progress]: adding candidates to table 5.710 * * [progress]: iteration 4 / 4 5.710 * * * [progress]: picking best candidate 5.714 * * * * [pick]: Picked # 5.715 * * * [progress]: localizing error 5.732 * * * [progress]: generating rewritten candidates 5.732 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.756 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 5.759 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 5.762 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 5.767 * * * [progress]: generating series expansions 5.768 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.768 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in (N) around 0 5.768 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 5.768 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 5.768 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.768 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.768 * [taylor]: Taking taylor expansion of N in N 5.768 * [taylor]: Taking taylor expansion of 1.0 in N 5.769 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 5.769 * [taylor]: Taking taylor expansion of (log N) in N 5.769 * [taylor]: Taking taylor expansion of N in N 5.770 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 5.770 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 5.770 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.770 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.770 * [taylor]: Taking taylor expansion of N in N 5.770 * [taylor]: Taking taylor expansion of 1.0 in N 5.770 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 5.770 * [taylor]: Taking taylor expansion of (log N) in N 5.770 * [taylor]: Taking taylor expansion of N in N 5.829 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in (N) around 0 5.829 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 5.829 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 5.829 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.829 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.829 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.829 * [taylor]: Taking taylor expansion of N in N 5.830 * [taylor]: Taking taylor expansion of 1.0 in N 5.831 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 5.831 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.831 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.831 * [taylor]: Taking taylor expansion of N in N 5.831 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 5.831 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 5.832 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.832 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.832 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.832 * [taylor]: Taking taylor expansion of N in N 5.832 * [taylor]: Taking taylor expansion of 1.0 in N 5.833 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 5.833 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.833 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.833 * [taylor]: Taking taylor expansion of N in N 5.876 * [approximate]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in (N) around 0 5.876 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 5.876 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 5.876 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.876 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.876 * [taylor]: Taking taylor expansion of 1.0 in N 5.876 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.876 * [taylor]: Taking taylor expansion of N in N 5.878 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 5.878 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 5.878 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.878 * [taylor]: Taking taylor expansion of -1 in N 5.878 * [taylor]: Taking taylor expansion of N in N 5.879 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 5.879 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 5.879 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.879 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.879 * [taylor]: Taking taylor expansion of 1.0 in N 5.879 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.879 * [taylor]: Taking taylor expansion of N in N 5.881 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 5.881 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 5.881 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.881 * [taylor]: Taking taylor expansion of -1 in N 5.881 * [taylor]: Taking taylor expansion of N in N 5.972 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 5.972 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 5.972 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.972 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.972 * [taylor]: Taking taylor expansion of N in N 5.972 * [taylor]: Taking taylor expansion of 1.0 in N 5.973 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.973 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.973 * [taylor]: Taking taylor expansion of N in N 5.973 * [taylor]: Taking taylor expansion of 1.0 in N 5.985 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 5.985 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.985 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.985 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.985 * [taylor]: Taking taylor expansion of N in N 5.986 * [taylor]: Taking taylor expansion of 1.0 in N 5.986 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.986 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.986 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.986 * [taylor]: Taking taylor expansion of N in N 5.987 * [taylor]: Taking taylor expansion of 1.0 in N 6.000 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 6.000 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.000 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.000 * [taylor]: Taking taylor expansion of 1.0 in N 6.000 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.000 * [taylor]: Taking taylor expansion of N in N 6.001 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.001 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.001 * [taylor]: Taking taylor expansion of 1.0 in N 6.001 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.001 * [taylor]: Taking taylor expansion of N in N 6.022 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 6.022 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 6.022 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.022 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.022 * [taylor]: Taking taylor expansion of N in N 6.022 * [taylor]: Taking taylor expansion of 1.0 in N 6.022 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.022 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.023 * [taylor]: Taking taylor expansion of N in N 6.023 * [taylor]: Taking taylor expansion of 1.0 in N 6.036 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 6.036 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.036 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.036 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.036 * [taylor]: Taking taylor expansion of N in N 6.036 * [taylor]: Taking taylor expansion of 1.0 in N 6.037 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.037 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.037 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.037 * [taylor]: Taking taylor expansion of N in N 6.037 * [taylor]: Taking taylor expansion of 1.0 in N 6.050 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 6.050 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.050 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.050 * [taylor]: Taking taylor expansion of 1.0 in N 6.050 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.050 * [taylor]: Taking taylor expansion of N in N 6.051 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.051 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.051 * [taylor]: Taking taylor expansion of 1.0 in N 6.051 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.051 * [taylor]: Taking taylor expansion of N in N 6.066 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 6.066 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 6.066 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.066 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.066 * [taylor]: Taking taylor expansion of N in N 6.066 * [taylor]: Taking taylor expansion of 1.0 in N 6.066 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.066 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.066 * [taylor]: Taking taylor expansion of N in N 6.067 * [taylor]: Taking taylor expansion of 1.0 in N 6.079 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 6.079 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.079 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.079 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.079 * [taylor]: Taking taylor expansion of N in N 6.079 * [taylor]: Taking taylor expansion of 1.0 in N 6.080 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.080 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.080 * [taylor]: Taking taylor expansion of N in N 6.080 * [taylor]: Taking taylor expansion of 1.0 in N 6.100 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 6.100 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.100 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.100 * [taylor]: Taking taylor expansion of 1.0 in N 6.100 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.100 * [taylor]: Taking taylor expansion of N in N 6.101 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.101 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.101 * [taylor]: Taking taylor expansion of 1.0 in N 6.101 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.101 * [taylor]: Taking taylor expansion of N in N 6.115 * * * [progress]: simplifying candidates 6.117 * [simplify]: Simplifying using # : (/ (exp (pow (log (+ N 1.0)) 3)) (exp (pow (log N) 3))) (log (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (* (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (sqrt (- (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 1.0)) (log N)) (- (pow (pow (log (+ N 1.0)) 3) 3) (pow (pow (log N) 3) 3)) (+ (* (pow (log (+ N 1.0)) 3) (pow (log (+ N 1.0)) 3)) (+ (* (pow (log N) 3) (pow (log N) 3)) (* (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (- (pow (log N) 3)) (- (* (pow (log (+ N 1.0)) 3) (pow (log (+ N 1.0)) 3)) (* (pow (log N) 3) (pow (log N) 3))) (+ (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (- (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (log N) (/ 3 2))) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (log N) (/ 3 2))) (+ (pow (log (+ N 1.0)) (/ 3 2)) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) (/ 3 2)) (pow (sqrt (log N)) 3)) (+ (pow (log (+ N 1.0)) (/ 3 2)) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) (/ 3 2)) (pow (sqrt (log N)) 3)) (+ (pow (log (+ N 1.0)) (/ 3 2)) (sqrt (pow (log N) 3))) (- (pow (log (+ N 1.0)) (/ 3 2)) (sqrt (pow (log N) 3))) (+ (pow (log (+ N 1.0)) (/ 3 2)) (pow (log N) (/ 3 2))) (- (pow (log (+ N 1.0)) (/ 3 2)) (pow (log N) (/ 3 2))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log N) 3)) (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))) (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))) (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))) (- (+ (* 3.0 (* (pow N 2) (log 1.0))) (+ (* 3.0 (* N (pow (log 1.0) 2))) (pow (log 1.0) 3))) (+ (* 3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2))) (pow (log N) 3))) (- (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1.0 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (* 3.0 (/ (log (/ 1 N)) (pow N 3)))))) (+ (* 1.5 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ 1 N)) (pow N 2))))) (- (+ (* 3.0 (/ (pow (log -1) 2) N)) (+ (* 3.0 (/ (log (/ -1 N)) (pow N 3))) (+ (* 1.0 (/ (pow (log -1) 2) (pow N 3))) (+ (* 3.0 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (* (log -1) (log (/ -1 N))) (pow N 2))) (+ (* 1.0 (/ (pow (log (/ -1 N)) 2) (pow N 3))) (* 3.0 (/ (log -1) (pow N 2)))))))))) (+ (* 2.0 (/ (* (log -1) (log (/ -1 N))) (pow N 3))) (+ (* 1.5 (/ (pow (log -1) 2) (pow N 2))) (+ (* 3.0 (/ (log -1) (pow N 3))) (+ (* 6.0 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ -1 N)) (pow N 2))))))))) (- (+ (* 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)))) (- (* 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)))) (- (* 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)))) 6.124 * * [simplify]: iteration 0 : 193 enodes (cost 1673 ) 6.161 * * [simplify]: iteration 1 : 482 enodes (cost 1563 ) 6.286 * * [simplify]: iteration 2 : 1679 enodes (cost 1497 ) 6.651 * * [simplify]: iteration done : 5001 enodes (cost 1497 ) 6.652 * [simplify]: Simplified to: (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (log (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (pow (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) 3) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (+ (* (log N) (+ (log N) (log (+ N 1.0)))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (- (log (+ N 1.0)) (log N)) (- (pow (pow (log (+ N 1.0)) 3) 3) (pow (pow (log N) 3) 3)) (+ (* (pow (log N) 3) (+ (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (pow (log (+ N 1.0)) 6)) (- (pow (log N) 3)) (- (pow (log (+ N 1.0)) 6) (pow (log N) 6)) (+ (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow 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2)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (+ (log -1) (/ 1.0 N)) (+ (log (/ -1 N)) (/ 0.5 (* N N)))) 6.652 * * * [progress]: adding candidates to table 6.923 * [progress]: [Phase 3 of 3] Extracting. 6.923 * * [regime]: Finding splitpoints for: (# # # # #) 6.924 * * * [regime-changes]: Trying 1 branch expressions: (N) 6.924 * * * * [regimes]: Trying to branch on N from (# # # # #) 6.951 * * * [regime]: Found split indices: #