5.862 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.044 * * * [progress]: [2/2] Setting up program. 0.046 * [progress]: [Phase 2 of 3] Improving. 0.046 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.047 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.048 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.049 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.050 * * [simplify]: iteration done : 10 enodes (cost 7 ) 0.050 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.050 * * [progress]: iteration 1 / 4 0.051 * * * [progress]: picking best candidate 0.052 * * * * [pick]: Picked # 0.052 * * * [progress]: localizing error 0.059 * * * [progress]: generating rewritten candidates 0.059 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.066 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.071 * * * [progress]: generating series expansions 0.071 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.072 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.072 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.072 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.072 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.072 * [taylor]: Taking taylor expansion of 1.0 in N 0.072 * [taylor]: Taking taylor expansion of (log N) in N 0.073 * [taylor]: Taking taylor expansion of N in N 0.073 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.073 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.073 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.073 * [taylor]: Taking taylor expansion of N in N 0.073 * [taylor]: Taking taylor expansion of 1.0 in N 0.073 * [taylor]: Taking taylor expansion of (log N) in N 0.073 * [taylor]: Taking taylor expansion of N in N 0.092 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.092 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.092 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.092 * [taylor]: Taking taylor expansion of N in N 0.092 * [taylor]: Taking taylor expansion of 1.0 in N 0.093 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.093 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.093 * [taylor]: Taking taylor expansion of N in N 0.093 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.093 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.094 * [taylor]: Taking taylor expansion of N in N 0.094 * [taylor]: Taking taylor expansion of 1.0 in N 0.094 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.094 * [taylor]: Taking taylor expansion of N in N 0.129 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.129 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.129 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.129 * [taylor]: Taking taylor expansion of 1.0 in N 0.129 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.130 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.130 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.130 * [taylor]: Taking taylor expansion of -1 in N 0.130 * [taylor]: Taking taylor expansion of N in N 0.131 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.131 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.131 * [taylor]: Taking taylor expansion of 1.0 in N 0.131 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.131 * [taylor]: Taking taylor expansion of N in N 0.132 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.132 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.132 * [taylor]: Taking taylor expansion of -1 in N 0.132 * [taylor]: Taking taylor expansion of N in N 0.165 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.166 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.166 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.166 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.166 * [taylor]: Taking taylor expansion of N in N 0.166 * [taylor]: Taking taylor expansion of 1.0 in N 0.166 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.166 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.166 * [taylor]: Taking taylor expansion of N in N 0.166 * [taylor]: Taking taylor expansion of 1.0 in N 0.178 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.178 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [taylor]: Taking taylor expansion of 1.0 in N 0.179 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.179 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.179 * [taylor]: Taking taylor expansion of N in N 0.179 * [taylor]: Taking taylor expansion of 1.0 in N 0.197 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.197 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.197 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.197 * [taylor]: Taking taylor expansion of 1.0 in N 0.197 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.197 * [taylor]: Taking taylor expansion of N in N 0.198 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.198 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.198 * [taylor]: Taking taylor expansion of 1.0 in N 0.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.198 * [taylor]: Taking taylor expansion of N in N 0.212 * * * [progress]: simplifying candidates 0.213 * [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)))) 0.218 * * [simplify]: iteration 0 : 127 enodes (cost 1052 ) 0.241 * * [simplify]: iteration 1 : 277 enodes (cost 855 ) 0.338 * * [simplify]: iteration 2 : 715 enodes (cost 705 ) 0.728 * * [simplify]: iteration 3 : 2303 enodes (cost 614 ) 1.635 * * [simplify]: iteration done : 5001 enodes (cost 614 ) 1.635 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (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))) (/ (+ 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) (log N) (* (+ (log (+ N 1.0)) (log N)) (log (+ 1.0 N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ 1.0 N)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ 1.0 N)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (+ (log (fma N N (* 1.0 (- 1.0 N)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log 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 (+ 1.0 N)) 0 (log (+ 1.0 N)) (log (+ (pow N 3) (pow 1.0 3))) (log (fma N N (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ 1.0 N)) (log (log (+ N 1.0))) (+ 1.0 N) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (fma -1/2 (/ (pow N 2) (pow 1.0 2)) (fma 1.0 N (log 1.0))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (+ (/ 1.0 N) (log -1)) (+ (log (/ -1 N)) (/ 0.5 (* N N)))) 1.636 * * * [progress]: adding candidates to table 1.768 * * [progress]: iteration 2 / 4 1.768 * * * [progress]: picking best candidate 1.776 * * * * [pick]: Picked # 1.776 * * * [progress]: localizing error 1.786 * * * [progress]: generating rewritten candidates 1.786 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.166 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.171 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.174 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.218 * * * [progress]: generating series expansions 2.218 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.218 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 2.218 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 2.218 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 2.218 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.218 * [taylor]: Taking taylor expansion of 1.0 in N 2.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.218 * [taylor]: Taking taylor expansion of N in N 2.219 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.219 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.219 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.219 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.219 * [taylor]: Taking taylor expansion of N in N 2.220 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.220 * [taylor]: Taking taylor expansion of 0.5 in N 2.220 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.220 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.220 * [taylor]: Taking taylor expansion of N in N 2.220 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 2.220 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 2.220 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.220 * [taylor]: Taking taylor expansion of 1.0 in N 2.220 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.220 * [taylor]: Taking taylor expansion of N in N 2.221 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.221 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.221 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.221 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.221 * [taylor]: Taking taylor expansion of N in N 2.221 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.222 * [taylor]: Taking taylor expansion of 0.5 in N 2.222 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.222 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.222 * [taylor]: Taking taylor expansion of N in N 2.231 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 2.231 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 2.231 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.231 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.231 * [taylor]: Taking taylor expansion of 1.0 in N 2.231 * [taylor]: Taking taylor expansion of N in N 2.231 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.231 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.231 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.231 * [taylor]: Taking taylor expansion of N in N 2.231 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.231 * [taylor]: Taking taylor expansion of 0.5 in N 2.231 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.231 * [taylor]: Taking taylor expansion of N in N 2.231 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 2.231 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.231 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.231 * [taylor]: Taking taylor expansion of 1.0 in N 2.231 * [taylor]: Taking taylor expansion of N in N 2.231 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.231 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.231 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.231 * [taylor]: Taking taylor expansion of N in N 2.232 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.232 * [taylor]: Taking taylor expansion of 0.5 in N 2.232 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.232 * [taylor]: Taking taylor expansion of N in N 2.239 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 2.240 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 2.240 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 2.240 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.240 * [taylor]: Taking taylor expansion of 0.5 in N 2.240 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.240 * [taylor]: Taking taylor expansion of N in N 2.240 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.240 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.240 * [taylor]: Taking taylor expansion of 1.0 in N 2.240 * [taylor]: Taking taylor expansion of N in N 2.240 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.240 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.240 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.240 * [taylor]: Taking taylor expansion of N in N 2.240 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 2.240 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 2.240 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.240 * [taylor]: Taking taylor expansion of 0.5 in N 2.240 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.240 * [taylor]: Taking taylor expansion of N in N 2.240 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.240 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.240 * [taylor]: Taking taylor expansion of 1.0 in N 2.240 * [taylor]: Taking taylor expansion of N in N 2.240 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.240 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.240 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.240 * [taylor]: Taking taylor expansion of N in N 2.249 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.249 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 2.249 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 2.249 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.249 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.249 * [taylor]: Taking taylor expansion of N in N 2.250 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 2.250 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.250 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.250 * [taylor]: Taking taylor expansion of N in N 2.261 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 2.261 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.261 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.261 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.261 * [taylor]: Taking taylor expansion of N in N 2.261 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.261 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.261 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.261 * [taylor]: Taking taylor expansion of N in N 2.273 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 2.273 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 2.273 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 2.273 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.273 * [taylor]: Taking taylor expansion of N in N 2.273 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 2.273 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 2.273 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.273 * [taylor]: Taking taylor expansion of N in N 2.285 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.285 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 2.285 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 2.285 * [taylor]: Taking taylor expansion of 0.5 in N 2.285 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.285 * [taylor]: Taking taylor expansion of N in N 2.285 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 2.285 * [taylor]: Taking taylor expansion of 0.5 in N 2.285 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.286 * [taylor]: Taking taylor expansion of N in N 2.293 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 2.293 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.293 * [taylor]: Taking taylor expansion of 0.5 in N 2.293 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.293 * [taylor]: Taking taylor expansion of N in N 2.293 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.293 * [taylor]: Taking taylor expansion of 0.5 in N 2.293 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.293 * [taylor]: Taking taylor expansion of N in N 2.306 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 2.306 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.306 * [taylor]: Taking taylor expansion of 0.5 in N 2.306 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.306 * [taylor]: Taking taylor expansion of N in N 2.306 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.306 * [taylor]: Taking taylor expansion of 0.5 in N 2.306 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.306 * [taylor]: Taking taylor expansion of N in N 2.314 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.314 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in (N) around 0 2.314 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 2.314 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.314 * [taylor]: Taking taylor expansion of 1.0 in N 2.314 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.314 * [taylor]: Taking taylor expansion of N in N 2.314 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.314 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.314 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.314 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.314 * [taylor]: Taking taylor expansion of N in N 2.315 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 2.315 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.315 * [taylor]: Taking taylor expansion of 1.0 in N 2.315 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.315 * [taylor]: Taking taylor expansion of N in N 2.315 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.315 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.315 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.315 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.315 * [taylor]: Taking taylor expansion of N in N 2.345 * [approximate]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in (N) around 0 2.345 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.345 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.345 * [taylor]: Taking taylor expansion of 1.0 in N 2.345 * [taylor]: Taking taylor expansion of N in N 2.345 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.346 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.346 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.346 * [taylor]: Taking taylor expansion of N in N 2.346 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.346 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.346 * [taylor]: Taking taylor expansion of 1.0 in N 2.346 * [taylor]: Taking taylor expansion of N in N 2.346 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.346 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.346 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.346 * [taylor]: Taking taylor expansion of N in N 2.367 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in (N) around 0 2.367 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 2.367 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.367 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.367 * [taylor]: Taking taylor expansion of 1.0 in N 2.367 * [taylor]: Taking taylor expansion of N in N 2.367 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.367 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.367 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.367 * [taylor]: Taking taylor expansion of N in N 2.367 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 2.367 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.367 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.367 * [taylor]: Taking taylor expansion of 1.0 in N 2.367 * [taylor]: Taking taylor expansion of N in N 2.367 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.367 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.367 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.367 * [taylor]: Taking taylor expansion of N in N 2.397 * * * [progress]: simplifying candidates 2.400 * [simplify]: Simplifying using # : (fma (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))) (fma (- (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))) (fma (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))) (fma (- (sqrt (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))))) (fma (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))) (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))) (fma (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))) (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))) (fma (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ 0.5 N) (/ 1 N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))) (fma (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ 0.5 (* N N)) 1))) (fma (- (/ 0.5 (* N N))) 1 (* (/ 0.5 (* N N)) 1)) (fma (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ 1 (* N N)) 0.5))) (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5)) (fma (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))) (fma (- (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))) (fma (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))) (fma (- (sqrt (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))))) (fma (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))) (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))) (fma (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))) (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))) (fma (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ 0.5 N) (/ 1 N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))) (fma (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ 0.5 (* N N)) 1))) (fma (- (/ 0.5 (* N N))) 1 (* (/ 0.5 (* N N)) 1)) (fma (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (- (* (/ 1 (* N N)) 0.5))) (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5)) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))) (fma (- (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))) (fma (- (sqrt (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))))) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))) (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))) (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ 0.5 N) (/ 1 N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ 0.5 (* N N)) 1))) (fma (- (/ 0.5 (* N N))) 1 (* (/ 0.5 (* N N)) 1)) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ 1 (* N N)) 0.5))) (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5)) (fma (/ 1 1) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))) (fma (- (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))) (fma (/ 1 1) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))) (fma (- (sqrt (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))))) (fma (/ 1 1) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))) (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))) (fma (/ 1 1) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))) (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))) (fma (/ 1 1) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ 0.5 N) (/ 1 N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))) (fma (/ 1 1) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ 0.5 (* N N)) 1))) (fma (- (/ 0.5 (* N N))) 1 (* (/ 0.5 (* N N)) 1)) (fma (/ 1 1) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ 1 (* N N)) 0.5))) (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5)) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N))))))) (fma (- (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N)))))) (fma (- (sqrt (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (* (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))))) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N)))) (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) N))) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)))) (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N))) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ 0.5 N) (/ 1 N)))) (fma (- (/ 0.5 N)) (/ 1 N) (* (/ 0.5 N) (/ 1 N))) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ 0.5 (* N N)) 1))) (fma (- (/ 0.5 (* N N))) 1 (* (/ 0.5 (* N N)) 1)) (fma 1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (* (/ 1 (* N N)) 0.5))) (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5)) (expm1 (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (log1p (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (- (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (/ (* (exp (/ 1.0 N)) (exp (/ 0.3333333333333333 (pow N 3)))) (exp (/ 0.5 (* N N)))) (/ (exp (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (exp (/ 0.5 (* N N)))) (log (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (exp (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (* (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))))) (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (* (* (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (- (* (+ (* 1.0 (pow N 3)) (* N 0.3333333333333333)) (* N N)) (* (* N (pow N 3)) 0.5)) (* (* N (pow N 3)) (* N N)) (- (* (+ (pow (/ 1.0 N) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (* N N)) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) 0.5)) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (* N N)) (- (* (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)))) (* N N)) (* (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) 0.5)) (* (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (* N N)) (- (pow (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))))) (- (/ 0.5 (* N N))) (- (* (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 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0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) 2.409 * * [simplify]: iteration 0 : 264 enodes (cost 3729 ) 2.495 * * [simplify]: iteration 1 : 614 enodes (cost 3122 ) 2.878 * * [simplify]: iteration 2 : 2146 enodes (cost 2772 ) 3.488 * * [simplify]: iteration done : 5000 enodes (cost 2772 ) 3.490 * [simplify]: Simplified to: (fma 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(+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (- (/ (* 0.5 0.5) (pow N 4)))) (+ (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (+ (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (/ 0.5 (* N N)))) (- (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (/ (sqrt 0.5) N)) (- (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (/ (sqrt 0.5) N)) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (/ (- (/ 0.5 N)) N) (expm1 (/ 0.3333333333333333 (pow N 3))) (log1p (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) N) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) N) (/ (cbrt 0.3333333333333333) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) N) (/ (cbrt 0.3333333333333333) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) N) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (* (cbrt 0.3333333333333333) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N 3/2)) (/ (cbrt 0.3333333333333333) (pow N 3/2)) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (sqrt 0.3333333333333333) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (sqrt 0.3333333333333333) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (expm1 (/ 0.5 (* N N))) (log1p (/ 0.5 (* N N))) (log (/ (/ 0.5 N) N)) (log (/ (/ 0.5 N) N)) (log (/ (/ 0.5 N) N)) (exp (/ 0.5 (* N N))) (pow (/ 0.5 (pow N 2)) 3) (pow (/ 0.5 (pow N 2)) 3) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (pow (/ 0.5 (pow N 2)) 3) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (* (cbrt 0.5) (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (expm1 (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (log1p (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (log (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (pow (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) 3) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (fma 1.0 (pow N 3) (* N 0.3333333333333333)) (pow N 4) (+ (pow (/ 1.0 N) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (fma (/ 1.0 N) (/ 1.0 N) (* (/ 0.3333333333333333 (pow N 3)) (- (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)))) (- (* (/ 1.0 N) (/ 1.0 N)) (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6))) (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) 3.491 * * * [progress]: adding candidates to table 3.819 * * [progress]: iteration 3 / 4 3.819 * * * [progress]: picking best candidate 3.825 * * * * [pick]: Picked # 3.825 * * * [progress]: localizing error 3.830 * * * [progress]: generating rewritten candidates 3.830 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.833 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.843 * * * [progress]: generating series expansions 3.843 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.844 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 3.844 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.844 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.844 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.844 * [taylor]: Taking taylor expansion of N in N 3.844 * [taylor]: Taking taylor expansion of 1.0 in N 3.844 * [taylor]: Taking taylor expansion of N in N 3.845 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.845 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.845 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.845 * [taylor]: Taking taylor expansion of N in N 3.845 * [taylor]: Taking taylor expansion of 1.0 in N 3.845 * [taylor]: Taking taylor expansion of N in N 3.859 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 3.859 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.859 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.859 * [taylor]: Taking taylor expansion of N in N 3.859 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.859 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.859 * [taylor]: Taking taylor expansion of N in N 3.859 * [taylor]: Taking taylor expansion of 1.0 in N 3.861 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.861 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.861 * [taylor]: Taking taylor expansion of N in N 3.861 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.861 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.861 * [taylor]: Taking taylor expansion of N in N 3.862 * [taylor]: Taking taylor expansion of 1.0 in N 3.892 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 3.892 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.893 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.893 * [taylor]: Taking taylor expansion of -1 in N 3.893 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.893 * [taylor]: Taking taylor expansion of N in N 3.893 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.893 * [taylor]: Taking taylor expansion of 1.0 in N 3.893 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.893 * [taylor]: Taking taylor expansion of N in N 3.896 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.896 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.896 * [taylor]: Taking taylor expansion of -1 in N 3.896 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.896 * [taylor]: Taking taylor expansion of N in N 3.896 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.896 * [taylor]: Taking taylor expansion of 1.0 in N 3.896 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.896 * [taylor]: Taking taylor expansion of N in N 3.930 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.930 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 3.930 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.930 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.930 * [taylor]: Taking taylor expansion of N in N 3.930 * [taylor]: Taking taylor expansion of 1.0 in N 3.930 * [taylor]: Taking taylor expansion of N in N 3.931 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.931 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.931 * [taylor]: Taking taylor expansion of N in N 3.931 * [taylor]: Taking taylor expansion of 1.0 in N 3.931 * [taylor]: Taking taylor expansion of N in N 3.937 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 3.937 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.938 * [taylor]: Taking taylor expansion of N in N 3.938 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.938 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.938 * [taylor]: Taking taylor expansion of N in N 3.938 * [taylor]: Taking taylor expansion of 1.0 in N 3.938 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.938 * [taylor]: Taking taylor expansion of N in N 3.938 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.938 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.938 * [taylor]: Taking taylor expansion of N in N 3.938 * [taylor]: Taking taylor expansion of 1.0 in N 3.960 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 3.960 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.960 * [taylor]: Taking taylor expansion of -1 in N 3.960 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.960 * [taylor]: Taking taylor expansion of N in N 3.960 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.960 * [taylor]: Taking taylor expansion of 1.0 in N 3.960 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.960 * [taylor]: Taking taylor expansion of N in N 3.960 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.960 * [taylor]: Taking taylor expansion of -1 in N 3.960 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.960 * [taylor]: Taking taylor expansion of N in N 3.960 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.960 * [taylor]: Taking taylor expansion of 1.0 in N 3.960 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.960 * [taylor]: Taking taylor expansion of N in N 3.984 * * * [progress]: simplifying candidates 3.985 * [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) 3.989 * * [simplify]: iteration 0 : 112 enodes (cost 749 ) 4.009 * * [simplify]: iteration 1 : 240 enodes (cost 708 ) 4.079 * * [simplify]: iteration 2 : 618 enodes (cost 660 ) 4.426 * * [simplify]: iteration 3 : 1873 enodes (cost 647 ) 5.721 * * [simplify]: iteration done : 5001 enodes (cost 647 ) 5.722 * [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))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (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)) (+ 1.0 N) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (fma N N (* 1.0 (- 1.0 N)))) (* (- N 1.0) N) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 5.722 * * * [progress]: adding candidates to table 5.843 * * [progress]: iteration 4 / 4 5.843 * * * [progress]: picking best candidate 5.847 * * * * [pick]: Picked # 5.848 * * * [progress]: localizing error 5.870 * * * [progress]: generating rewritten candidates 5.870 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.900 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 3 2) 5.902 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 3 1 1) 5.905 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 5.926 * * * [progress]: generating series expansions 5.926 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.926 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in (N) around 0 5.926 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 5.926 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 5.926 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.926 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.926 * [taylor]: Taking taylor expansion of N in N 5.926 * [taylor]: Taking taylor expansion of 1.0 in N 5.927 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 5.927 * [taylor]: Taking taylor expansion of (log N) in N 5.927 * [taylor]: Taking taylor expansion of N in N 5.928 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 5.928 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 5.928 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.928 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.928 * [taylor]: Taking taylor expansion of N in N 5.928 * [taylor]: Taking taylor expansion of 1.0 in N 5.929 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 5.929 * [taylor]: Taking taylor expansion of (log N) in N 5.929 * [taylor]: Taking taylor expansion of N in N 5.986 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in (N) around 0 5.987 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 5.987 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 5.987 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.987 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.987 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.987 * [taylor]: Taking taylor expansion of N in N 5.987 * [taylor]: Taking taylor expansion of 1.0 in N 5.988 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 5.988 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.988 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.988 * [taylor]: Taking taylor expansion of N in N 5.989 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 5.989 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 5.989 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.989 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.989 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.989 * [taylor]: Taking taylor expansion of N in N 5.989 * [taylor]: Taking taylor expansion of 1.0 in N 5.990 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 5.990 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.990 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.990 * [taylor]: Taking taylor expansion of N in N 6.036 * [approximate]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in (N) around 0 6.036 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 6.036 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 6.036 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.036 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.036 * [taylor]: Taking taylor expansion of 1.0 in N 6.036 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.036 * [taylor]: Taking taylor expansion of N in N 6.038 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 6.038 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 6.038 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.038 * [taylor]: Taking taylor expansion of -1 in N 6.038 * [taylor]: Taking taylor expansion of N in N 6.039 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 6.039 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 6.039 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.039 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.039 * [taylor]: Taking taylor expansion of 1.0 in N 6.039 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.039 * [taylor]: Taking taylor expansion of N in N 6.040 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 6.040 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 6.040 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.040 * [taylor]: Taking taylor expansion of -1 in N 6.040 * [taylor]: Taking taylor expansion of N in N 6.126 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 3 2) 6.126 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 6.126 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.126 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.126 * [taylor]: Taking taylor expansion of N in N 6.126 * [taylor]: Taking taylor expansion of 1.0 in N 6.127 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.127 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.127 * [taylor]: Taking taylor expansion of N in N 6.127 * [taylor]: Taking taylor expansion of 1.0 in N 6.139 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 6.139 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.139 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.139 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.139 * [taylor]: Taking taylor expansion of N in N 6.139 * [taylor]: Taking taylor expansion of 1.0 in N 6.140 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.140 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.140 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.140 * [taylor]: Taking taylor expansion of N in N 6.140 * [taylor]: Taking taylor expansion of 1.0 in N 6.152 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 6.152 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.152 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.152 * [taylor]: Taking taylor expansion of 1.0 in N 6.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.152 * [taylor]: Taking taylor expansion of N in N 6.153 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.153 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.153 * [taylor]: Taking taylor expansion of 1.0 in N 6.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.154 * [taylor]: Taking taylor expansion of N in N 6.168 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 3 1 1) 6.168 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 6.168 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.168 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.168 * [taylor]: Taking taylor expansion of N in N 6.168 * [taylor]: Taking taylor expansion of 1.0 in N 6.169 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.169 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.169 * [taylor]: Taking taylor expansion of N in N 6.169 * [taylor]: Taking taylor expansion of 1.0 in N 6.181 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 6.181 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.181 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.181 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.181 * [taylor]: Taking taylor expansion of N in N 6.181 * [taylor]: Taking taylor expansion of 1.0 in N 6.182 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.182 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.182 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.182 * [taylor]: Taking taylor expansion of N in N 6.182 * [taylor]: Taking taylor expansion of 1.0 in N 6.197 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 6.198 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.198 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.198 * [taylor]: Taking taylor expansion of 1.0 in N 6.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.198 * [taylor]: Taking taylor expansion of N in N 6.199 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.199 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.199 * [taylor]: Taking taylor expansion of 1.0 in N 6.199 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.199 * [taylor]: Taking taylor expansion of N in N 6.213 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 6.214 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 6.214 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.214 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.214 * [taylor]: Taking taylor expansion of N in N 6.214 * [taylor]: Taking taylor expansion of 1.0 in N 6.214 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.214 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.214 * [taylor]: Taking taylor expansion of N in N 6.214 * [taylor]: Taking taylor expansion of 1.0 in N 6.226 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 6.226 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.226 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.226 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.226 * [taylor]: Taking taylor expansion of N in N 6.226 * [taylor]: Taking taylor expansion of 1.0 in N 6.227 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.227 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.227 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.227 * [taylor]: Taking taylor expansion of N in N 6.227 * [taylor]: Taking taylor expansion of 1.0 in N 6.240 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 6.240 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.240 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.240 * [taylor]: Taking taylor expansion of 1.0 in N 6.240 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.240 * [taylor]: Taking taylor expansion of N in N 6.241 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.241 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.241 * [taylor]: Taking taylor expansion of 1.0 in N 6.241 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.241 * [taylor]: Taking taylor expansion of N in N 6.256 * * * [progress]: simplifying candidates 6.262 * [simplify]: Simplifying using # : (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (log N) (* (log N) (log N))))) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (* (log N) (log N)) (log N)))) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) 1))) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) (/ 3 2)) (pow (log N) (/ 3 2))))) (fma (- (pow (log N) (/ 3 2))) (pow (log N) (/ 3 2)) (* (pow (log N) (/ 3 2)) (pow (log N) (/ 3 2)))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (log N) (* (log N) (log N))))) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (* (log N) (log N)) (log N)))) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) 1))) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (log N) (/ 3 2)) (pow (log N) (/ 3 2))))) (fma (- (pow (log N) (/ 3 2))) (pow (log N) (/ 3 2)) (* (pow (log N) (/ 3 2)) (pow (log N) (/ 3 2)))) (fma (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log 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(log -1) (/ 0.5 (* N N))) (log (/ -1 N))) (/ 1.0 N)) (- (fma 1.0 N (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (+ (- (- (log -1) (/ 0.5 (* N N))) (log (/ -1 N))) (/ 1.0 N)) (- (fma 1.0 N (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (+ (- (- (log -1) (/ 0.5 (* N N))) (log (/ -1 N))) (/ 1.0 N)) 7.247 * * * [progress]: adding candidates to table 7.657 * [progress]: [Phase 3 of 3] Extracting. 7.657 * * [regime]: Finding splitpoints for: (# # # #) 7.658 * * * [regime-changes]: Trying 1 branch expressions: (N) 7.658 * * * * [regimes]: Trying to branch on N from (# # # #) 7.683 * * * [regime]: Found split indices: #