14.140 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.065 * * * [progress]: [2/2] Setting up program. 0.067 * [progress]: [Phase 2 of 3] Improving. 0.067 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.069 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.071 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.072 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.072 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.072 * * [progress]: iteration 1 / 4 0.072 * * * [progress]: picking best candidate 0.074 * * * * [pick]: Picked # 0.074 * * * [progress]: localizing error 0.080 * * * [progress]: generating rewritten candidates 0.080 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.088 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.092 * * * [progress]: generating series expansions 0.093 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.093 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.093 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.093 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.093 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.093 * [taylor]: Taking taylor expansion of N in N 0.093 * [taylor]: Taking taylor expansion of 1.0 in N 0.094 * [taylor]: Taking taylor expansion of (log N) in N 0.094 * [taylor]: Taking taylor expansion of N in N 0.094 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.094 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.094 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.094 * [taylor]: Taking taylor expansion of N in N 0.094 * [taylor]: Taking taylor expansion of 1.0 in N 0.095 * [taylor]: Taking taylor expansion of (log N) in N 0.095 * [taylor]: Taking taylor expansion of N in N 0.118 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.118 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.118 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.118 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.118 * [taylor]: Taking taylor expansion of N in N 0.118 * [taylor]: Taking taylor expansion of 1.0 in N 0.119 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.119 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.119 * [taylor]: Taking taylor expansion of N in N 0.119 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.119 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.119 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.119 * [taylor]: Taking taylor expansion of N in N 0.119 * [taylor]: Taking taylor expansion of 1.0 in N 0.120 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.120 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.120 * [taylor]: Taking taylor expansion of N in N 0.151 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.151 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.151 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.151 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.151 * [taylor]: Taking taylor expansion of 1.0 in N 0.151 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.151 * [taylor]: Taking taylor expansion of N in N 0.152 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.152 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.152 * [taylor]: Taking taylor expansion of -1 in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.153 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.153 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.153 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.153 * [taylor]: Taking taylor expansion of 1.0 in N 0.153 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.153 * [taylor]: Taking taylor expansion of N in N 0.154 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.154 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.154 * [taylor]: Taking taylor expansion of -1 in N 0.154 * [taylor]: Taking taylor expansion of N in N 0.195 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.195 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.195 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.195 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.195 * [taylor]: Taking taylor expansion of N in N 0.195 * [taylor]: Taking taylor expansion of 1.0 in N 0.196 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.196 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.196 * [taylor]: Taking taylor expansion of N in N 0.196 * [taylor]: Taking taylor expansion of 1.0 in N 0.208 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.208 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.208 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [taylor]: Taking taylor expansion of 1.0 in N 0.209 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.209 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [taylor]: Taking taylor expansion of 1.0 in N 0.222 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.222 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.222 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.222 * [taylor]: Taking taylor expansion of 1.0 in N 0.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.222 * [taylor]: Taking taylor expansion of N in N 0.223 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.223 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.223 * [taylor]: Taking taylor expansion of 1.0 in N 0.223 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.223 * [taylor]: Taking taylor expansion of N in N 0.238 * * * [progress]: simplifying candidates 0.239 * [simplify]: Simplifying using # : (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)) (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))) (- (+ (* 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)))) 0.244 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.249 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.265 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.360 * * [simplify]: iteration 3 : 5001 enodes (cost 343 ) 0.362 * [simplify]: Simplified to: (- (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)) (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))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 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))))) 0.363 * * * [progress]: adding candidates to table 0.493 * * [progress]: iteration 2 / 4 0.493 * * * [progress]: picking best candidate 0.501 * * * * [pick]: Picked # 0.501 * * * [progress]: localizing error 0.505 * * * [progress]: generating rewritten candidates 0.505 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.509 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.519 * * * [progress]: generating series expansions 0.519 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.519 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.519 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.519 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.519 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.519 * [taylor]: Taking taylor expansion of N in N 0.519 * [taylor]: Taking taylor expansion of 1.0 in N 0.519 * [taylor]: Taking taylor expansion of N in N 0.521 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.521 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.521 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.521 * [taylor]: Taking taylor expansion of 1.0 in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.535 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.535 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.535 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.535 * [taylor]: Taking taylor expansion of N in N 0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.535 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.535 * [taylor]: Taking taylor expansion of N in N 0.535 * [taylor]: Taking taylor expansion of 1.0 in N 0.537 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.537 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.537 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.538 * [taylor]: Taking taylor expansion of 1.0 in N 0.565 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.565 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.565 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.565 * [taylor]: Taking taylor expansion of -1 in N 0.565 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.565 * [taylor]: Taking taylor expansion of N in N 0.565 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.565 * [taylor]: Taking taylor expansion of 1.0 in N 0.565 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.565 * [taylor]: Taking taylor expansion of N in N 0.568 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.568 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.568 * [taylor]: Taking taylor expansion of -1 in N 0.568 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.569 * [taylor]: Taking taylor expansion of N in N 0.569 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.569 * [taylor]: Taking taylor expansion of 1.0 in N 0.569 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.569 * [taylor]: Taking taylor expansion of N in N 0.608 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.608 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.608 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.608 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.608 * [taylor]: Taking taylor expansion of N in N 0.608 * [taylor]: Taking taylor expansion of 1.0 in N 0.608 * [taylor]: Taking taylor expansion of N in N 0.609 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.609 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.609 * [taylor]: Taking taylor expansion of N in N 0.609 * [taylor]: Taking taylor expansion of 1.0 in N 0.609 * [taylor]: Taking taylor expansion of N in N 0.616 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.616 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.616 * [taylor]: Taking taylor expansion of N in N 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.616 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.616 * [taylor]: Taking taylor expansion of N in N 0.617 * [taylor]: Taking taylor expansion of 1.0 in N 0.617 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.617 * [taylor]: Taking taylor expansion of N in N 0.617 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.617 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.617 * [taylor]: Taking taylor expansion of N in N 0.617 * [taylor]: Taking taylor expansion of 1.0 in N 0.631 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.631 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.631 * [taylor]: Taking taylor expansion of -1 in N 0.631 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.631 * [taylor]: Taking taylor expansion of N in N 0.631 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.631 * [taylor]: Taking taylor expansion of 1.0 in N 0.631 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.631 * [taylor]: Taking taylor expansion of N in N 0.631 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.631 * [taylor]: Taking taylor expansion of -1 in N 0.631 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.632 * [taylor]: Taking taylor expansion of N in N 0.632 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.632 * [taylor]: Taking taylor expansion of 1.0 in N 0.632 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.632 * [taylor]: Taking taylor expansion of N in N 0.656 * * * [progress]: simplifying candidates 0.663 * [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) 0.667 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.672 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.686 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.766 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.768 * [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) 0.768 * * * [progress]: adding candidates to table 0.887 * * [progress]: iteration 3 / 4 0.887 * * * [progress]: picking best candidate 0.894 * * * * [pick]: Picked # 0.894 * * * [progress]: localizing error 0.903 * * * [progress]: generating rewritten candidates 0.903 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.907 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.911 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.914 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.922 * * * [progress]: generating series expansions 0.922 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.922 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 0.922 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.922 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.922 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.922 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.922 * [taylor]: Taking taylor expansion of 1/3 in N 0.922 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.922 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.922 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.922 * [taylor]: Taking taylor expansion of N in N 0.922 * [taylor]: Taking taylor expansion of 1.0 in N 0.922 * [taylor]: Taking taylor expansion of N in N 0.925 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.925 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.925 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.925 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.925 * [taylor]: Taking taylor expansion of 1/3 in N 0.925 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.925 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.925 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.925 * [taylor]: Taking taylor expansion of N in N 0.925 * [taylor]: Taking taylor expansion of 1.0 in N 0.925 * [taylor]: Taking taylor expansion of N in N 0.961 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 0.961 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.961 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.961 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.961 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.961 * [taylor]: Taking taylor expansion of 1/3 in N 0.961 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.961 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.961 * [taylor]: Taking taylor expansion of N in N 0.961 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.961 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.961 * [taylor]: Taking taylor expansion of N in N 0.962 * [taylor]: Taking taylor expansion of 1.0 in N 0.971 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.971 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.971 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.971 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.971 * [taylor]: Taking taylor expansion of 1/3 in N 0.971 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.971 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.971 * [taylor]: Taking taylor expansion of N in N 0.971 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.971 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.971 * [taylor]: Taking taylor expansion of N in N 0.972 * [taylor]: Taking taylor expansion of 1.0 in N 1.051 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 1.051 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.051 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.051 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.051 * [taylor]: Taking taylor expansion of -1 in N 1.052 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.052 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.052 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.052 * [taylor]: Taking taylor expansion of 1/3 in N 1.052 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.052 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.052 * [taylor]: Taking taylor expansion of N in N 1.052 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.052 * [taylor]: Taking taylor expansion of 1.0 in N 1.052 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.052 * [taylor]: Taking taylor expansion of N in N 1.059 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.059 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.059 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.059 * [taylor]: Taking taylor expansion of -1 in N 1.060 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.060 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.060 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.060 * [taylor]: Taking taylor expansion of 1/3 in N 1.060 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.060 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.060 * [taylor]: Taking taylor expansion of N in N 1.060 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.060 * [taylor]: Taking taylor expansion of 1.0 in N 1.060 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.060 * [taylor]: Taking taylor expansion of N in N 1.144 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.144 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 1.145 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.145 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.145 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.145 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.145 * [taylor]: Taking taylor expansion of 1/3 in N 1.145 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.145 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.145 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.145 * [taylor]: Taking taylor expansion of N in N 1.145 * [taylor]: Taking taylor expansion of 1.0 in N 1.145 * [taylor]: Taking taylor expansion of N in N 1.147 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.147 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.147 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.147 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.147 * [taylor]: Taking taylor expansion of 1/3 in N 1.147 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.147 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.147 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.147 * [taylor]: Taking taylor expansion of N in N 1.147 * [taylor]: Taking taylor expansion of 1.0 in N 1.147 * [taylor]: Taking taylor expansion of N in N 1.178 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 1.178 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.178 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.178 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.178 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.178 * [taylor]: Taking taylor expansion of 1/3 in N 1.178 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.178 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.178 * [taylor]: Taking taylor expansion of N in N 1.178 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.178 * [taylor]: Taking taylor expansion of N in N 1.179 * [taylor]: Taking taylor expansion of 1.0 in N 1.188 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.188 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.188 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.188 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.188 * [taylor]: Taking taylor expansion of 1/3 in N 1.188 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.188 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.188 * [taylor]: Taking taylor expansion of N in N 1.188 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.188 * [taylor]: Taking taylor expansion of N in N 1.189 * [taylor]: Taking taylor expansion of 1.0 in N 1.266 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 1.266 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.266 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.266 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.266 * [taylor]: Taking taylor expansion of -1 in N 1.267 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.267 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.267 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.267 * [taylor]: Taking taylor expansion of 1/3 in N 1.267 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.267 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.267 * [taylor]: Taking taylor expansion of N in N 1.267 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.267 * [taylor]: Taking taylor expansion of 1.0 in N 1.267 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.267 * [taylor]: Taking taylor expansion of N in N 1.274 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.274 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.274 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.274 * [taylor]: Taking taylor expansion of -1 in N 1.275 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.275 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.275 * [taylor]: Taking taylor expansion of 1/3 in N 1.275 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.275 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.275 * [taylor]: Taking taylor expansion of N in N 1.275 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.275 * [taylor]: Taking taylor expansion of 1.0 in N 1.275 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.275 * [taylor]: Taking taylor expansion of N in N 1.359 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.360 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 1.360 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.360 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.360 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.360 * [taylor]: Taking taylor expansion of 1/3 in N 1.360 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.360 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.360 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.360 * [taylor]: Taking taylor expansion of N in N 1.360 * [taylor]: Taking taylor expansion of 1.0 in N 1.360 * [taylor]: Taking taylor expansion of N in N 1.362 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.362 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.362 * [taylor]: Taking taylor expansion of 1/3 in N 1.362 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.362 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.362 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.362 * [taylor]: Taking taylor expansion of N in N 1.362 * [taylor]: Taking taylor expansion of 1.0 in N 1.362 * [taylor]: Taking taylor expansion of N in N 1.398 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 1.399 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.399 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.399 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.399 * [taylor]: Taking taylor expansion of 1/3 in N 1.399 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.399 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.399 * [taylor]: Taking taylor expansion of N in N 1.399 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.399 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.399 * [taylor]: Taking taylor expansion of N in N 1.399 * [taylor]: Taking taylor expansion of 1.0 in N 1.408 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.409 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.409 * [taylor]: Taking taylor expansion of 1/3 in N 1.409 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.409 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.409 * [taylor]: Taking taylor expansion of N in N 1.409 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.409 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.409 * [taylor]: Taking taylor expansion of N in N 1.409 * [taylor]: Taking taylor expansion of 1.0 in N 1.434 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in (N) around 0 1.434 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.434 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.434 * [taylor]: Taking taylor expansion of -1 in N 1.435 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.435 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.435 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.435 * [taylor]: Taking taylor expansion of 1/3 in N 1.435 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.435 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.435 * [taylor]: Taking taylor expansion of N in N 1.435 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.435 * [taylor]: Taking taylor expansion of 1.0 in N 1.435 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.435 * [taylor]: Taking taylor expansion of N in N 1.439 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.439 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.439 * [taylor]: Taking taylor expansion of -1 in N 1.440 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.440 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.440 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.440 * [taylor]: Taking taylor expansion of 1/3 in N 1.440 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.440 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.440 * [taylor]: Taking taylor expansion of N in N 1.440 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.440 * [taylor]: Taking taylor expansion of 1.0 in N 1.440 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.440 * [taylor]: Taking taylor expansion of N in N 1.497 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.497 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 1.497 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.498 * [taylor]: Taking taylor expansion of 1/3 in N 1.498 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.498 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.498 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.498 * [taylor]: Taking taylor expansion of N in N 1.498 * [taylor]: Taking taylor expansion of 1.0 in N 1.498 * [taylor]: Taking taylor expansion of N in N 1.500 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.500 * [taylor]: Taking taylor expansion of 1/3 in N 1.500 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.500 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.500 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.500 * [taylor]: Taking taylor expansion of N in N 1.500 * [taylor]: Taking taylor expansion of 1.0 in N 1.500 * [taylor]: Taking taylor expansion of N in N 1.531 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 1.531 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.531 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.531 * [taylor]: Taking taylor expansion of 1/3 in N 1.531 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.531 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.531 * [taylor]: Taking taylor expansion of N in N 1.531 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.531 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.531 * [taylor]: Taking taylor expansion of N in N 1.531 * [taylor]: Taking taylor expansion of 1.0 in N 1.540 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.540 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.540 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.540 * [taylor]: Taking taylor expansion of 1/3 in N 1.540 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.540 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.540 * [taylor]: Taking taylor expansion of N in N 1.540 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.540 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.540 * [taylor]: Taking taylor expansion of N in N 1.541 * [taylor]: Taking taylor expansion of 1.0 in N 1.572 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in (N) around 0 1.572 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.573 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.573 * [taylor]: Taking taylor expansion of -1 in N 1.573 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.573 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.573 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.573 * [taylor]: Taking taylor expansion of 1/3 in N 1.573 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.573 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.573 * [taylor]: Taking taylor expansion of N in N 1.573 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.573 * [taylor]: Taking taylor expansion of 1.0 in N 1.573 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.573 * [taylor]: Taking taylor expansion of N in N 1.578 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.578 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.578 * [taylor]: Taking taylor expansion of -1 in N 1.579 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.579 * [taylor]: Taking taylor expansion of 1/3 in N 1.579 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.579 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.579 * [taylor]: Taking taylor expansion of N in N 1.579 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.579 * [taylor]: Taking taylor expansion of 1.0 in N 1.579 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.579 * [taylor]: Taking taylor expansion of N in N 1.630 * * * [progress]: simplifying candidates 1.632 * [simplify]: Simplifying using # : (expm1 (log (cbrt (/ (+ N 1.0) N)))) (log1p (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt 1)) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (log (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log 1) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (exp (log (cbrt (/ (+ N 1.0) N)))) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (* (* (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (expm1 (log (cbrt (/ (+ N 1.0) N)))) (log1p (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt 1)) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (log (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log 1) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (exp (log (cbrt (/ (+ N 1.0) N)))) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (* (* (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (expm1 (cbrt (/ (+ N 1.0) N))) (log1p (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt 1) (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (expm1 (cbrt (/ (+ N 1.0) N))) (log1p (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt 1) (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (cbrt -1)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (cbrt -1)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (* 0.05555555555555555 (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (* (pow -1 1/3) (/ (cbrt -1) N))) (* (pow -1 1/3) (cbrt -1))) (* 0.1111111111111111 (* (pow -1 1/3) (/ (cbrt -1) (pow N 2))))) (- (+ (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (* 0.05555555555555555 (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (* (pow -1 1/3) (/ (cbrt -1) N))) (* (pow -1 1/3) (cbrt -1))) (* 0.1111111111111111 (* (pow -1 1/3) (/ (cbrt -1) (pow N 2))))) 1.639 * * [simplify]: iteration 0 : 278 enodes (cost 1088 ) 1.643 * * [simplify]: iteration 1 : 803 enodes (cost 1024 ) 1.658 * * [simplify]: iteration 2 : 3528 enodes (cost 998 ) 1.734 * * [simplify]: iteration 3 : 5002 enodes (cost 962 ) 1.746 * [simplify]: Simplified to: (expm1 (log (cbrt (/ (+ N 1.0) N)))) (log1p (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (* 2 (log (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (cbrt (/ (+ N 1.0) N)) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (pow (log (cbrt (/ (+ N 1.0) N))) 3) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (expm1 (log (cbrt (/ (+ N 1.0) N)))) (log1p (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (* 2 (log (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (cbrt (/ (+ N 1.0) N)) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (pow (log (cbrt (/ (+ N 1.0) N))) 3) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (expm1 (cbrt (/ (+ N 1.0) N))) (log1p (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ N 1.0) N)) 1 (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (expm1 (cbrt (/ (+ N 1.0) N))) (log1p (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ N 1.0) N)) 1 (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (fma N 0.3333333333333333 (- (* 1/3 (log 1.0)) (fma 1/6 (/ (pow N 2) (pow 1.0 2)) (* 1/3 (log N))))) (fma (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N)) (/ 0.1111111111111111 (pow N 3))) (fma 2/3 (log -1) (* (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N)))) (fma N 0.3333333333333333 (- (* 1/3 (log 1.0)) (fma 1/6 (/ (pow N 2) (pow 1.0 2)) (* 1/3 (log N))))) (fma (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N)) (/ 0.1111111111111111 (pow N 3))) (fma 2/3 (log -1) (* (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N)))) (fma (exp (* 1/3 (- (log 1.0) (log N)))) (+ (fma N 0.3333333333333333 1) (* 0.05555555555555555 (pow N 2))) (- (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))) (fma (/ 1 N) (- 0.3333333333333333 (/ 0.1111111111111111 N)) 1) (fma (- 0.1111111111111111) (/ (/ (pow -1 2/3) N) N) (fma 0.3333333333333333 (/ (pow -1 2/3) N) (pow -1 2/3))) (fma (exp (* 1/3 (- (log 1.0) (log N)))) (+ (fma N 0.3333333333333333 1) (* 0.05555555555555555 (pow N 2))) (- (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))) (fma (/ 1 N) (- 0.3333333333333333 (/ 0.1111111111111111 N)) 1) (fma (- 0.1111111111111111) (/ (/ (pow -1 2/3) N) N) (fma 0.3333333333333333 (/ (pow -1 2/3) N) (pow -1 2/3))) 1.747 * * * [progress]: adding candidates to table 2.113 * * [progress]: iteration 4 / 4 2.113 * * * [progress]: picking best candidate 2.122 * * * * [pick]: Picked # 2.123 * * * [progress]: localizing error 2.143 * * * [progress]: generating rewritten candidates 2.143 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.147 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.162 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1) 2.167 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 2.179 * * * [progress]: generating series expansions 2.179 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.179 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 2.179 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 2.179 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.179 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.179 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.179 * [taylor]: Taking taylor expansion of 1/3 in N 2.179 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.179 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.179 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.179 * [taylor]: Taking taylor expansion of N in N 2.179 * [taylor]: Taking taylor expansion of 1.0 in N 2.179 * [taylor]: Taking taylor expansion of N in N 2.182 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 2.182 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.182 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.182 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.182 * [taylor]: Taking taylor expansion of 1/3 in N 2.182 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.182 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.182 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.182 * [taylor]: Taking taylor expansion of N in N 2.182 * [taylor]: Taking taylor expansion of 1.0 in N 2.182 * [taylor]: Taking taylor expansion of N in N 2.220 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 2.220 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 2.220 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.220 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.220 * [taylor]: Taking taylor expansion of 1/3 in N 2.220 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.220 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.220 * [taylor]: Taking taylor expansion of N in N 2.220 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 2.221 * [taylor]: Taking taylor expansion of 1.0 in N 2.230 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 2.230 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.230 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.230 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.230 * [taylor]: Taking taylor expansion of 1/3 in N 2.230 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.230 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.230 * [taylor]: Taking taylor expansion of N in N 2.230 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.230 * [taylor]: Taking taylor expansion of N in N 2.231 * [taylor]: Taking taylor expansion of 1.0 in N 2.311 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 2.311 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 2.311 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.311 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.311 * [taylor]: Taking taylor expansion of -1 in N 2.311 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.312 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.312 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.312 * [taylor]: Taking taylor expansion of 1/3 in N 2.312 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.312 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.312 * [taylor]: Taking taylor expansion of N in N 2.312 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.312 * [taylor]: Taking taylor expansion of 1.0 in N 2.312 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.312 * [taylor]: Taking taylor expansion of N in N 2.319 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 2.319 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.319 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.319 * [taylor]: Taking taylor expansion of -1 in N 2.319 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.319 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.320 * [taylor]: Taking taylor expansion of 1/3 in N 2.320 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.320 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.320 * [taylor]: Taking taylor expansion of N in N 2.320 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.320 * [taylor]: Taking taylor expansion of 1.0 in N 2.320 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.320 * [taylor]: Taking taylor expansion of N in N 2.405 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.405 * [approximate]: Taking taylor expansion of (+ (log (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3))) (log (pow (/ 1 N) 1/6))) in (N) around 0 2.405 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3))) (log (pow (/ 1 N) 1/6))) in N 2.405 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3))) in N 2.405 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in N 2.405 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 2.405 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 2.405 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 2.405 * [taylor]: Taking taylor expansion of 1/6 in N 2.405 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.405 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.405 * [taylor]: Taking taylor expansion of N in N 2.406 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 2.406 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 2.406 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 2.406 * [taylor]: Taking taylor expansion of 1/3 in N 2.406 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.406 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.406 * [taylor]: Taking taylor expansion of N in N 2.406 * [taylor]: Taking taylor expansion of 1.0 in N 2.409 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/6)) in N 2.409 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 2.410 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 2.410 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 2.410 * [taylor]: Taking taylor expansion of 1/6 in N 2.410 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.410 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.410 * [taylor]: Taking taylor expansion of N in N 2.411 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3))) (log (pow (/ 1 N) 1/6))) in N 2.411 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3))) in N 2.411 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in N 2.411 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 2.411 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 2.411 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 2.411 * [taylor]: Taking taylor expansion of 1/6 in N 2.411 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.411 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.411 * [taylor]: Taking taylor expansion of N in N 2.412 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 2.412 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 2.412 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 2.412 * [taylor]: Taking taylor expansion of 1/3 in N 2.412 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.412 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.412 * [taylor]: Taking taylor expansion of N in N 2.412 * [taylor]: Taking taylor expansion of 1.0 in N 2.415 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/6)) in N 2.415 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 2.415 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 2.415 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 2.415 * [taylor]: Taking taylor expansion of 1/6 in N 2.415 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.415 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.415 * [taylor]: Taking taylor expansion of N in N 2.491 * [approximate]: Taking taylor expansion of (+ (log (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3))) (log (pow N 1/6))) in (N) around 0 2.492 * [taylor]: Taking taylor expansion of (+ (log (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3))) (log (pow N 1/6))) in N 2.492 * [taylor]: Taking taylor expansion of (log (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3))) in N 2.492 * [taylor]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in N 2.492 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 2.492 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 2.492 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 2.492 * [taylor]: Taking taylor expansion of 1/6 in N 2.492 * [taylor]: Taking taylor expansion of (log N) in N 2.492 * [taylor]: Taking taylor expansion of N in N 2.492 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 2.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 2.492 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 2.492 * [taylor]: Taking taylor expansion of 1/3 in N 2.492 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.492 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.492 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.492 * [taylor]: Taking taylor expansion of N in N 2.493 * [taylor]: Taking taylor expansion of 1.0 in N 2.494 * [taylor]: Taking taylor expansion of (log (pow N 1/6)) in N 2.494 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 2.494 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 2.494 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 2.494 * [taylor]: Taking taylor expansion of 1/6 in N 2.494 * [taylor]: Taking taylor expansion of (log N) in N 2.494 * [taylor]: Taking taylor expansion of N in N 2.495 * [taylor]: Taking taylor expansion of (+ (log (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3))) (log (pow N 1/6))) in N 2.495 * [taylor]: Taking taylor expansion of (log (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3))) in N 2.495 * [taylor]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in N 2.495 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 2.495 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 2.495 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 2.495 * [taylor]: Taking taylor expansion of 1/6 in N 2.495 * [taylor]: Taking taylor expansion of (log N) in N 2.495 * [taylor]: Taking taylor expansion of N in N 2.495 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 2.495 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 2.495 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 2.495 * [taylor]: Taking taylor expansion of 1/3 in N 2.495 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.495 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.495 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.496 * [taylor]: Taking taylor expansion of N in N 2.496 * [taylor]: Taking taylor expansion of 1.0 in N 2.497 * [taylor]: Taking taylor expansion of (log (pow N 1/6)) in N 2.497 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 2.497 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 2.497 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 2.497 * [taylor]: Taking taylor expansion of 1/6 in N 2.497 * [taylor]: Taking taylor expansion of (log N) in N 2.497 * [taylor]: Taking taylor expansion of N in N 2.531 * [approximate]: Taking taylor expansion of (+ (log (pow (/ 1 (sqrt (/ -1 N))) 1/3)) (log (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3))) in (N) around 0 2.531 * [taylor]: Taking taylor expansion of (+ (log (pow (/ 1 (sqrt (/ -1 N))) 1/3)) (log (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3))) in N 2.531 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (sqrt (/ -1 N))) 1/3)) in N 2.531 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 N))) 1/3) in N 2.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt (/ -1 N)))))) in N 2.531 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt (/ -1 N))))) in N 2.531 * [taylor]: Taking taylor expansion of 1/3 in N 2.531 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 2.532 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.532 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.532 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.532 * [taylor]: Taking taylor expansion of -1 in N 2.532 * [taylor]: Taking taylor expansion of N in N 2.536 * [taylor]: Taking taylor expansion of (log (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3)) in N 2.536 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in N 2.536 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))))) in N 2.536 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))))) in N 2.536 * [taylor]: Taking taylor expansion of 1/3 in N 2.536 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 2.536 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 2.536 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.536 * [taylor]: Taking taylor expansion of 1.0 in N 2.536 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.536 * [taylor]: Taking taylor expansion of N in N 2.536 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.536 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.536 * [taylor]: Taking taylor expansion of -1 in N 2.536 * [taylor]: Taking taylor expansion of N in N 2.540 * [taylor]: Taking taylor expansion of (+ (log (pow (/ 1 (sqrt (/ -1 N))) 1/3)) (log (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3))) in N 2.540 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (sqrt (/ -1 N))) 1/3)) in N 2.540 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 N))) 1/3) in N 2.540 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt (/ -1 N)))))) in N 2.540 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt (/ -1 N))))) in N 2.540 * [taylor]: Taking taylor expansion of 1/3 in N 2.541 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 2.541 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.541 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.541 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.541 * [taylor]: Taking taylor expansion of -1 in N 2.541 * [taylor]: Taking taylor expansion of N in N 2.545 * [taylor]: Taking taylor expansion of (log (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3)) in N 2.545 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in N 2.545 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))))) in N 2.545 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))))) in N 2.545 * [taylor]: Taking taylor expansion of 1/3 in N 2.545 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 2.545 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 2.545 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.545 * [taylor]: Taking taylor expansion of 1.0 in N 2.545 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.545 * [taylor]: Taking taylor expansion of N in N 2.545 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.545 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.545 * [taylor]: Taking taylor expansion of -1 in N 2.545 * [taylor]: Taking taylor expansion of N in N 2.663 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1) 2.663 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in (N) around 0 2.663 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in N 2.663 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 2.663 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 2.663 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 2.663 * [taylor]: Taking taylor expansion of 1/6 in N 2.663 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.663 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.663 * [taylor]: Taking taylor expansion of N in N 2.664 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 2.664 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 2.664 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 2.664 * [taylor]: Taking taylor expansion of 1/3 in N 2.664 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.664 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.664 * [taylor]: Taking taylor expansion of N in N 2.664 * [taylor]: Taking taylor expansion of 1.0 in N 2.666 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in N 2.666 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 2.666 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 2.666 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 2.666 * [taylor]: Taking taylor expansion of 1/6 in N 2.666 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.666 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.666 * [taylor]: Taking taylor expansion of N in N 2.667 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 2.667 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 2.667 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 2.667 * [taylor]: Taking taylor expansion of 1/3 in N 2.667 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.667 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.667 * [taylor]: Taking taylor expansion of N in N 2.667 * [taylor]: Taking taylor expansion of 1.0 in N 2.712 * [approximate]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in (N) around 0 2.712 * [taylor]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in N 2.712 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 2.712 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 2.712 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 2.712 * [taylor]: Taking taylor expansion of 1/6 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 (+ (/ 1 N) 1.0) 1/3) in N 2.713 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 2.713 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 2.713 * [taylor]: Taking taylor expansion of 1/3 in N 2.713 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.713 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.713 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.713 * [taylor]: Taking taylor expansion of N in N 2.713 * [taylor]: Taking taylor expansion of 1.0 in N 2.714 * [taylor]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in N 2.714 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 2.714 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 2.714 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 2.714 * [taylor]: Taking taylor expansion of 1/6 in N 2.714 * [taylor]: Taking taylor expansion of (log N) in N 2.714 * [taylor]: Taking taylor expansion of N in N 2.715 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 2.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 2.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 2.715 * [taylor]: Taking taylor expansion of 1/3 in N 2.715 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.715 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.715 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.715 * [taylor]: Taking taylor expansion of N in N 2.715 * [taylor]: Taking taylor expansion of 1.0 in N 2.747 * [approximate]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in (N) around 0 2.747 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in N 2.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))))) in N 2.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))))) in N 2.747 * [taylor]: Taking taylor expansion of 1/3 in N 2.747 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 2.747 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 2.747 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.747 * [taylor]: Taking taylor expansion of 1.0 in N 2.747 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.747 * [taylor]: Taking taylor expansion of N in N 2.748 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.748 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.748 * [taylor]: Taking taylor expansion of -1 in N 2.748 * [taylor]: Taking taylor expansion of N in N 2.751 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in N 2.751 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))))) in N 2.751 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))))) in N 2.751 * [taylor]: Taking taylor expansion of 1/3 in N 2.751 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 2.751 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 2.751 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.751 * [taylor]: Taking taylor expansion of 1.0 in N 2.751 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.752 * [taylor]: Taking taylor expansion of N in N 2.752 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.752 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.752 * [taylor]: Taking taylor expansion of -1 in N 2.752 * [taylor]: Taking taylor expansion of N in N 2.792 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 2.792 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/6) in (N) around 0 2.792 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 2.792 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 2.792 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 2.792 * [taylor]: Taking taylor expansion of 1/6 in N 2.792 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.792 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.792 * [taylor]: Taking taylor expansion of N in N 2.793 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 2.793 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 2.793 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 2.793 * [taylor]: Taking taylor expansion of 1/6 in N 2.793 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.793 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.793 * [taylor]: Taking taylor expansion of N in N 2.852 * [approximate]: Taking taylor expansion of (pow N 1/6) in (N) around 0 2.852 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 2.852 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 2.852 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 2.852 * [taylor]: Taking taylor expansion of 1/6 in N 2.852 * [taylor]: Taking taylor expansion of (log N) in N 2.852 * [taylor]: Taking taylor expansion of N in N 2.853 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 2.853 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 2.853 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 2.853 * [taylor]: Taking taylor expansion of 1/6 in N 2.853 * [taylor]: Taking taylor expansion of (log N) in N 2.853 * [taylor]: Taking taylor expansion of N in N 2.909 * [approximate]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 N))) 1/3) in (N) around 0 2.909 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 N))) 1/3) in N 2.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt (/ -1 N)))))) in N 2.909 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt (/ -1 N))))) in N 2.909 * [taylor]: Taking taylor expansion of 1/3 in N 2.909 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 2.909 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.909 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.909 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.909 * [taylor]: Taking taylor expansion of -1 in N 2.909 * [taylor]: Taking taylor expansion of N in N 2.913 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 N))) 1/3) in N 2.913 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt (/ -1 N)))))) in N 2.913 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt (/ -1 N))))) in N 2.913 * [taylor]: Taking taylor expansion of 1/3 in N 2.913 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 2.913 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.913 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.913 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.913 * [taylor]: Taking taylor expansion of -1 in N 2.913 * [taylor]: Taking taylor expansion of N in N 2.956 * * * [progress]: simplifying candidates 2.959 * [simplify]: Simplifying using # : (expm1 (log (cbrt (/ (+ N 1.0) N)))) (log1p (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt 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N 2) (pow (/ 1 (pow 1.0 4)) 1/3)))))) (+ (/ (- 0.16666666666666666) (pow N 2)) (fma (/ 1 N) 0.3333333333333333 (fma 1/6 (log N) (log (pow (/ 1 N) 1/6))))) (+ (- (* (log +nan.0) 2/3) (fma +nan.0 (/ 1 (pow N 2)) (* 1/3 (log (/ -1 N))))) (* +nan.0 (/ 1 N))) (+ (* (pow 1.0 1/3) (+ (pow (/ 1 N) 1/6) (* 0.3333333333333333 (pow (pow N 5) 1/6)))) (* (pow (pow N 11) 1/6) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6)))) (fma (pow (/ 1 (pow N 5)) 1/6) 0.3333333333333333 (- (pow N 1/6) (* 0.1111111111111111 (pow (/ 1 (pow N 11)) 1/6)))) (+ (- (exp (* 1/3 (- (log +nan.0) (log (/ -1 N))))) (* +nan.0 (/ (exp (* 1/3 (- (log +nan.0) (log (/ -1 N))))) N))) (* +nan.0 (/ (exp (* 1/3 (- (log +nan.0) (log (/ -1 N))))) (pow N 2)))) (pow N -1/6) (pow (/ 1 N) 1/6) (* (pow +nan.0 1/3) (- 1 (- (* +nan.0 (/ 1 N)) (* +nan.0 (/ 1 (pow N 2)))))) 3.022 * * * [progress]: adding candidates to table 3.748 * [progress]: [Phase 3 of 3] Extracting. 3.748 * * [regime]: Finding splitpoints for: (# # # # #) 3.749 * * * [regime-changes]: Trying 2 branch expressions: ((- (log (+ N 1.0)) (log N)) N) 3.749 * * * * [regimes]: Trying to branch on (- (log (+ N 1.0)) (log N)) from (# # # # #) 3.776 * * * * [regimes]: Trying to branch on N from (# # # # #) 3.805 * * * [regime]: Found split indices: #