5.811 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.044 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.045 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.046 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.047 * * [simplify]: iteration done : 10 enodes (cost 7 ) 0.047 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.047 * * [progress]: iteration 1 / 4 0.047 * * * [progress]: picking best candidate 0.049 * * * * [pick]: Picked # 0.049 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.058 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.068 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.068 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.068 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.068 * [taylor]: Taking taylor expansion of N in N 0.068 * [taylor]: Taking taylor expansion of 1.0 in N 0.068 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.068 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.068 * [taylor]: Taking taylor expansion of N in N 0.069 * [taylor]: Taking taylor expansion of 1.0 in N 0.083 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.083 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.083 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.083 * [taylor]: Taking taylor expansion of 1.0 in N 0.084 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.084 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.084 * [taylor]: Taking taylor expansion of N in N 0.084 * [taylor]: Taking taylor expansion of 1.0 in N 0.097 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.097 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.097 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.097 * [taylor]: Taking taylor expansion of 1.0 in N 0.097 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.097 * [taylor]: Taking taylor expansion of N in N 0.098 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.098 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.098 * [taylor]: Taking taylor expansion of 1.0 in N 0.098 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.098 * [taylor]: Taking taylor expansion of N in N 0.117 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.117 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.117 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.117 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.117 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.117 * [taylor]: Taking taylor expansion of N in N 0.117 * [taylor]: Taking taylor expansion of 1.0 in N 0.118 * [taylor]: Taking taylor expansion of (log N) in N 0.118 * [taylor]: Taking taylor expansion of N in N 0.118 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.118 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.118 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 N) in N 0.119 * [taylor]: Taking taylor expansion of N in N 0.138 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.138 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.138 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.138 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.138 * [taylor]: Taking taylor expansion of 1.0 in N 0.139 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.139 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.139 * [taylor]: Taking taylor expansion of N in N 0.139 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.139 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.139 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.139 * [taylor]: Taking taylor expansion of N in N 0.140 * [taylor]: Taking taylor expansion of 1.0 in N 0.140 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.140 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.140 * [taylor]: Taking taylor expansion of N in N 0.171 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.172 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.172 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.172 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.172 * [taylor]: Taking taylor expansion of 1.0 in N 0.172 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.173 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.173 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.173 * [taylor]: Taking taylor expansion of -1 in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.173 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.173 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.173 * [taylor]: Taking taylor expansion of 1.0 in N 0.173 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.174 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.174 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.174 * [taylor]: Taking taylor expansion of -1 in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.215 * * * [progress]: simplifying candidates 0.216 * [simplify]: Simplifying using # : (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.220 * * [simplify]: iteration 0 : 127 enodes (cost 1052 ) 0.241 * * [simplify]: iteration 1 : 279 enodes (cost 855 ) 0.308 * * [simplify]: iteration 2 : 868 enodes (cost 705 ) 0.657 * * [simplify]: iteration 3 : 3734 enodes (cost 614 ) 3.166 * * [simplify]: iteration done : 5001 enodes (cost 614 ) 3.166 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (fma N N (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log 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 (+ 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 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 (+ N 1.0)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log N) (log (+ N 1.0))) (+ (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) (log (fma N N (* 1.0 (- 1.0 N))))) (+ (log (- N 1.0)) (log N)) (- (log 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))) (- (+ (log -1) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (log (/ -1 N))) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N))) 3.167 * * * [progress]: adding candidates to table 3.356 * * [progress]: iteration 2 / 4 3.356 * * * [progress]: picking best candidate 3.366 * * * * [pick]: Picked # 3.366 * * * [progress]: localizing error 3.378 * * * [progress]: generating rewritten candidates 3.378 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.384 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.399 * * * [progress]: generating series expansions 3.399 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.399 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 3.399 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.399 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.399 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.399 * [taylor]: Taking taylor expansion of N in N 3.400 * [taylor]: Taking taylor expansion of 1.0 in N 3.400 * [taylor]: Taking taylor expansion of N in N 3.402 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.402 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.402 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.402 * [taylor]: Taking taylor expansion of N in N 3.402 * [taylor]: Taking taylor expansion of 1.0 in N 3.402 * [taylor]: Taking taylor expansion of N in N 3.422 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 3.422 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.422 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.422 * [taylor]: Taking taylor expansion of N in N 3.422 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.422 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.422 * [taylor]: Taking taylor expansion of N in N 3.423 * [taylor]: Taking taylor expansion of 1.0 in N 3.425 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.426 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.426 * [taylor]: Taking taylor expansion of N in N 3.426 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.426 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.426 * [taylor]: Taking taylor expansion of N in N 3.426 * [taylor]: Taking taylor expansion of 1.0 in N 3.466 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 3.466 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.466 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.466 * [taylor]: Taking taylor expansion of -1 in N 3.467 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.467 * [taylor]: Taking taylor expansion of N in N 3.467 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.467 * [taylor]: Taking taylor expansion of 1.0 in N 3.467 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.467 * [taylor]: Taking taylor expansion of N in N 3.472 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.472 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.472 * [taylor]: Taking taylor expansion of -1 in N 3.473 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.473 * [taylor]: Taking taylor expansion of N in N 3.473 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.473 * [taylor]: Taking taylor expansion of 1.0 in N 3.473 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.473 * [taylor]: Taking taylor expansion of N in N 3.522 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.522 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 3.522 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.522 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.522 * [taylor]: Taking taylor expansion of N in N 3.522 * [taylor]: Taking taylor expansion of 1.0 in N 3.522 * [taylor]: Taking taylor expansion of N in N 3.523 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.523 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.523 * [taylor]: Taking taylor expansion of N in N 3.523 * [taylor]: Taking taylor expansion of 1.0 in N 3.523 * [taylor]: Taking taylor expansion of N in N 3.530 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 3.530 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.530 * [taylor]: Taking taylor expansion of N in N 3.530 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.530 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.530 * [taylor]: Taking taylor expansion of N in N 3.530 * [taylor]: Taking taylor expansion of 1.0 in N 3.530 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.530 * [taylor]: Taking taylor expansion of N in N 3.530 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.530 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.530 * [taylor]: Taking taylor expansion of N in N 3.531 * [taylor]: Taking taylor expansion of 1.0 in N 3.546 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 3.546 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.546 * [taylor]: Taking taylor expansion of -1 in N 3.546 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.546 * [taylor]: Taking taylor expansion of N in N 3.546 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.546 * [taylor]: Taking taylor expansion of 1.0 in N 3.546 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.546 * [taylor]: Taking taylor expansion of N in N 3.547 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.547 * [taylor]: Taking taylor expansion of -1 in N 3.547 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.547 * [taylor]: Taking taylor expansion of N in N 3.547 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.547 * [taylor]: Taking taylor expansion of 1.0 in N 3.547 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.547 * [taylor]: Taking taylor expansion of N in N 3.572 * * * [progress]: simplifying candidates 3.573 * [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) 3.577 * * [simplify]: iteration 0 : 112 enodes (cost 749 ) 3.599 * * [simplify]: iteration 1 : 240 enodes (cost 708 ) 3.646 * * [simplify]: iteration 2 : 747 enodes (cost 660 ) 3.891 * * [simplify]: iteration 3 : 3443 enodes (cost 647 ) 5.395 * * [simplify]: iteration done : 5000 enodes (cost 647 ) 5.396 * [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)) (+ N 1.0) (/ 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 (- 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) (/ 0.5 (* 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) 5.396 * * * [progress]: adding candidates to table 5.535 * * [progress]: iteration 3 / 4 5.535 * * * [progress]: picking best candidate 5.543 * * * * [pick]: Picked # 5.543 * * * [progress]: localizing error 5.553 * * * [progress]: generating rewritten candidates 5.553 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 5.576 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 5.591 * * * [progress]: generating series expansions 5.591 * * * * [progress]: [ 1 / 2 ] generating series at (2) 5.592 * [approximate]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in (N) around 0 5.592 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 5.592 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 5.592 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 5.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.592 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.592 * [taylor]: Taking taylor expansion of N in N 5.594 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.594 * [taylor]: Taking taylor expansion of N in N 5.594 * [taylor]: Taking taylor expansion of 1.0 in N 5.597 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 5.597 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.597 * [taylor]: Taking taylor expansion of N in N 5.599 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 5.599 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 5.599 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 5.599 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.599 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.599 * [taylor]: Taking taylor expansion of N in N 5.601 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.601 * [taylor]: Taking taylor expansion of N in N 5.601 * [taylor]: Taking taylor expansion of 1.0 in N 5.603 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 5.604 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.604 * [taylor]: Taking taylor expansion of N in N 5.657 * [approximate]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in (N) around 0 5.657 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 5.657 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 5.657 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 5.657 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.657 * [taylor]: Taking taylor expansion of N in N 5.658 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.658 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.658 * [taylor]: Taking taylor expansion of N in N 5.659 * [taylor]: Taking taylor expansion of 1.0 in N 5.662 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 5.662 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.662 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.662 * [taylor]: Taking taylor expansion of N in N 5.665 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 5.665 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 5.665 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 5.665 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.665 * [taylor]: Taking taylor expansion of N in N 5.666 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.666 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.666 * [taylor]: Taking taylor expansion of N in N 5.673 * [taylor]: Taking taylor expansion of 1.0 in N 5.678 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 5.678 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.678 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.678 * [taylor]: Taking taylor expansion of N in N 5.737 * [approximate]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in (N) around 0 5.737 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 5.737 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 5.737 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 5.737 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.737 * [taylor]: Taking taylor expansion of 1.0 in N 5.738 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.738 * [taylor]: Taking taylor expansion of N in N 5.738 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.738 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.738 * [taylor]: Taking taylor expansion of -1 in N 5.738 * [taylor]: Taking taylor expansion of N in N 5.740 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 5.740 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.740 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.740 * [taylor]: Taking taylor expansion of -1 in N 5.740 * [taylor]: Taking taylor expansion of N in N 5.742 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 5.742 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 5.742 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 5.742 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.742 * [taylor]: Taking taylor expansion of 1.0 in N 5.742 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.742 * [taylor]: Taking taylor expansion of N in N 5.742 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.742 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.742 * [taylor]: Taking taylor expansion of -1 in N 5.742 * [taylor]: Taking taylor expansion of N in N 5.745 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 5.745 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.745 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.745 * [taylor]: Taking taylor expansion of -1 in N 5.745 * [taylor]: Taking taylor expansion of N in N 5.799 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 5.799 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in (N) around 0 5.799 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 5.799 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.799 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.799 * [taylor]: Taking taylor expansion of N in N 5.801 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.801 * [taylor]: Taking taylor expansion of N in N 5.801 * [taylor]: Taking taylor expansion of 1.0 in N 5.801 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 5.801 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.801 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.801 * [taylor]: Taking taylor expansion of N in N 5.802 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.802 * [taylor]: Taking taylor expansion of N in N 5.802 * [taylor]: Taking taylor expansion of 1.0 in N 5.816 * [approximate]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in (N) around 0 5.816 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 5.817 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.817 * [taylor]: Taking taylor expansion of N in N 5.818 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.818 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.818 * [taylor]: Taking taylor expansion of N in N 5.818 * [taylor]: Taking taylor expansion of 1.0 in N 5.818 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 5.818 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.818 * [taylor]: Taking taylor expansion of N in N 5.819 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.819 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.819 * [taylor]: Taking taylor expansion of N in N 5.819 * [taylor]: Taking taylor expansion of 1.0 in N 5.833 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in (N) around 0 5.833 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 5.833 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.833 * [taylor]: Taking taylor expansion of 1.0 in N 5.833 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.833 * [taylor]: Taking taylor expansion of N in N 5.834 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.834 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.834 * [taylor]: Taking taylor expansion of -1 in N 5.834 * [taylor]: Taking taylor expansion of N in N 5.836 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 5.836 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.836 * [taylor]: Taking taylor expansion of 1.0 in N 5.836 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.836 * [taylor]: Taking taylor expansion of N in N 5.836 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.836 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.836 * [taylor]: Taking taylor expansion of -1 in N 5.836 * [taylor]: Taking taylor expansion of N in N 5.851 * * * [progress]: simplifying candidates 5.856 * [simplify]: Simplifying using # : (expm1 (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (log1p (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (* (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N))) (* (exp (- (log (sqrt N)))) (/ (+ N 1.0) (sqrt N))) (log (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (exp (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (* (cbrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (cbrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))) (cbrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (* (* (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (sqrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (sqrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (+ (pow (- (log (sqrt N))) 3) (pow (log (/ (+ N 1.0) (sqrt N))) 3)) (+ (* (- (log (sqrt N))) (- (log (sqrt N)))) (- (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (* (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))) (- (* (- (log (sqrt N))) (- (log (sqrt N)))) (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (- (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (sqrt (/ (+ N 1.0) (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1))) (+ (- (log (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 1))) (+ (- (log (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 1))) (+ (- (log (sqrt N))) (log 1)) (+ (- (log (sqrt N))) (log (+ N 1.0))) (+ (- (log (cbrt (sqrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt (cbrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt (sqrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt (sqrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (+ N 1.0))) (- (log (sqrt N)) (log (/ (+ N 1.0) (sqrt N)))) (expm1 (/ (+ N 1.0) (sqrt N))) (log1p (/ (+ N 1.0) (sqrt N))) (- (log (+ N 1.0)) (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (exp (/ (+ N 1.0) (sqrt N))) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* (sqrt N) (sqrt N)) (sqrt N))) (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))) (* (* (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) (sqrt N))) (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (- (+ N 1.0)) (- (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (* (cbrt N) (cbrt N)))) (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt 1)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (* (cbrt N) (cbrt N)))) (/ (sqrt (+ N 1.0)) (sqrt (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt 1)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (sqrt (* (cbrt N) (cbrt N)))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ 1 (sqrt 1)) (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ 1 1) (/ (+ N 1.0) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (sqrt (* (cbrt N) (cbrt N)))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ 1 (sqrt 1)) (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ 1 1) (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt N)) (/ (sqrt N) (+ N 1.0)) (/ (+ N 1.0) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ N 1.0) (sqrt (* (cbrt N) (cbrt N)))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt 1)) (/ (+ N 1.0) (sqrt (sqrt N))) (/ (+ N 1.0) 1) (/ (sqrt N) (cbrt (+ N 1.0))) (/ (sqrt N) (sqrt (+ N 1.0))) (/ (sqrt N) (+ N 1.0)) (/ (sqrt N) (+ N 1.0)) (* (sqrt N) (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* (sqrt N) (- N 1.0)) (- (log (- +nan.0)) (+ (* +nan.0 (pow N 2)) (- (+ (log +nan.0) (log N)) (* +nan.0 N)))) (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log +nan.0) (* +nan.0 (/ 1 N))))) (- (+ (* +nan.0 (/ 1 N)) (- (log (/ -1 N)) (* +nan.0 (/ 1 (pow N 2)))))) (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) 5.861 * * [simplify]: iteration 0 : 185 enodes (cost 1533 ) 5.894 * * [simplify]: iteration 1 : 433 enodes (cost 1433 ) 5.993 * * [simplify]: iteration 2 : 1426 enodes (cost 1289 ) 6.416 * * [simplify]: iteration done : 5000 enodes (cost 1176 ) 6.417 * [simplify]: Simplified to: (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (/ (+ 1.0 N) N) (/ (+ 1.0 N) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ 1.0 N) 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) (sqrt N))) 3) (pow (log (sqrt N)) 3)) (fma (log (/ (+ N 1.0) (sqrt N))) (+ (log (sqrt N)) (log (/ (+ N 1.0) (sqrt N)))) (* (log (sqrt N)) (log (sqrt N)))) (* (- (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (- (log (+ N 1.0)) (log N))) (- (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt 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 N)) (- (log (+ N 1.0)) (log N)) (- (* 2 (log (cbrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt N))) (- (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt N))) (- (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))))) (log (sqrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (+ (log (sqrt N)) (log (fabs (cbrt N))))) (- (* 2 (log (cbrt (+ N 1.0)))) (+ (log (sqrt N)) (log (sqrt (sqrt N))))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (+ (log (sqrt N)) (log (sqrt (sqrt N))))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (- (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (* 2 (log (cbrt (sqrt N))))) (- (log (/ (sqrt (+ N 1.0)) (fabs (cbrt N)))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (sqrt N))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (sqrt N))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (- (- (log (sqrt N))) (* 2 (log (cbrt (sqrt N))))) (- (- (log (fabs (cbrt N)))) (log (sqrt N))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (- (log (sqrt N))) (* 2 (log (cbrt (sqrt N))))) (- (- (log (fabs (cbrt N)))) (log (sqrt N))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (cbrt (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (cbrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (sqrt N)))) (- (log (+ N 1.0)) (log N)) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (sqrt N)))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) (sqrt N))) (- (log (sqrt N)) (log (/ (+ N 1.0) (sqrt N)))) (expm1 (/ (+ N 1.0) (sqrt N))) (log1p (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (exp (/ (+ N 1.0) (sqrt N))) (pow (/ (+ N 1.0) (sqrt N)) 3) (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))) (pow (/ (+ N 1.0) (sqrt N)) 3) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (- (+ N 1.0)) (- (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))) (/ (cbrt (+ N 1.0)) (/ (fabs (cbrt N)) (cbrt (+ N 1.0)))) (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (/ (sqrt (+ N 1.0)) (fabs (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt (+ 1.0 N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt (+ 1.0 N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt N)) (/ (sqrt N) (+ N 1.0)) (/ (+ N 1.0) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ 1.0 N) (fabs (cbrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (+ 1.0 N) (/ (+ N 1.0) (sqrt (sqrt N))) (+ 1.0 N) (/ (sqrt N) (cbrt (+ N 1.0))) (/ (sqrt N) (sqrt (+ N 1.0))) (/ (sqrt N) (+ N 1.0)) (/ (sqrt N) (+ N 1.0)) (* (sqrt N) (fma N N (* 1.0 (- 1.0 N)))) (* (sqrt N) (- N 1.0)) (- (log (- +nan.0)) (+ (+ (log +nan.0) (log N)) (* N (fma +nan.0 N (- +nan.0))))) (- (log (- +nan.0)) (+ (/ +nan.0 (* N N)) (- (log +nan.0) (/ +nan.0 N)))) (- (- (/ +nan.0 N)) (- (log (/ -1 N)) (/ +nan.0 (* N N)))) (+ (- +nan.0) (* N (- +nan.0 (* +nan.0 N)))) (- (- (/ +nan.0 (* N N)) +nan.0) (/ +nan.0 N)) (- (fma +nan.0 N (- +nan.0)) (/ +nan.0 N)) 6.418 * * * [progress]: adding candidates to table 6.729 * * [progress]: iteration 4 / 4 6.729 * * * [progress]: picking best candidate 6.737 * * * * [pick]: Picked # 6.737 * * * [progress]: localizing error 6.746 * * * [progress]: generating rewritten candidates 6.746 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 6.751 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 6.755 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 6.758 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 6.762 * * * [progress]: generating series expansions 6.762 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 6.763 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 6.763 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.763 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.763 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.763 * [taylor]: Taking taylor expansion of N in N 6.763 * [taylor]: Taking taylor expansion of 1.0 in N 6.763 * [taylor]: Taking taylor expansion of N in N 6.764 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.764 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.764 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.764 * [taylor]: Taking taylor expansion of N in N 6.764 * [taylor]: Taking taylor expansion of 1.0 in N 6.764 * [taylor]: Taking taylor expansion of N in N 6.778 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 6.778 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.778 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.778 * [taylor]: Taking taylor expansion of N in N 6.778 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.778 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.778 * [taylor]: Taking taylor expansion of N in N 6.779 * [taylor]: Taking taylor expansion of 1.0 in N 6.780 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.781 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.781 * [taylor]: Taking taylor expansion of N in N 6.781 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.781 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.781 * [taylor]: Taking taylor expansion of N in N 6.781 * [taylor]: Taking taylor expansion of 1.0 in N 6.812 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 6.813 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.813 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.813 * [taylor]: Taking taylor expansion of -1 in N 6.813 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.813 * [taylor]: Taking taylor expansion of N in N 6.813 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.813 * [taylor]: Taking taylor expansion of 1.0 in N 6.813 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.813 * [taylor]: Taking taylor expansion of N in N 6.816 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.816 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.816 * [taylor]: Taking taylor expansion of -1 in N 6.816 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.816 * [taylor]: Taking taylor expansion of N in N 6.816 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.816 * [taylor]: Taking taylor expansion of 1.0 in N 6.816 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.816 * [taylor]: Taking taylor expansion of N in N 6.853 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 6.853 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 6.853 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.853 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.853 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.853 * [taylor]: Taking taylor expansion of N in N 6.853 * [taylor]: Taking taylor expansion of 1.0 in N 6.853 * [taylor]: Taking taylor expansion of N in N 6.854 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.854 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.854 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.854 * [taylor]: Taking taylor expansion of N in N 6.854 * [taylor]: Taking taylor expansion of 1.0 in N 6.854 * [taylor]: Taking taylor expansion of N in N 6.870 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 6.870 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.870 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.870 * [taylor]: Taking taylor expansion of N in N 6.870 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.870 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.870 * [taylor]: Taking taylor expansion of N in N 6.870 * [taylor]: Taking taylor expansion of 1.0 in N 6.875 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.875 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.875 * [taylor]: Taking taylor expansion of N in N 6.875 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.875 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.875 * [taylor]: Taking taylor expansion of N in N 6.875 * [taylor]: Taking taylor expansion of 1.0 in N 6.902 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 6.903 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.903 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.903 * [taylor]: Taking taylor expansion of -1 in N 6.903 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.903 * [taylor]: Taking taylor expansion of N in N 6.903 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.903 * [taylor]: Taking taylor expansion of 1.0 in N 6.903 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.903 * [taylor]: Taking taylor expansion of N in N 6.906 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.906 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.906 * [taylor]: Taking taylor expansion of -1 in N 6.906 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.906 * [taylor]: Taking taylor expansion of N in N 6.906 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.906 * [taylor]: Taking taylor expansion of 1.0 in N 6.906 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.906 * [taylor]: Taking taylor expansion of N in N 6.940 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 6.940 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 6.940 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.940 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.940 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.940 * [taylor]: Taking taylor expansion of N in N 6.940 * [taylor]: Taking taylor expansion of 1.0 in N 6.940 * [taylor]: Taking taylor expansion of N in N 6.941 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.941 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.941 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.941 * [taylor]: Taking taylor expansion of N in N 6.941 * [taylor]: Taking taylor expansion of 1.0 in N 6.941 * [taylor]: Taking taylor expansion of N in N 6.958 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 6.958 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.958 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.958 * [taylor]: Taking taylor expansion of N in N 6.958 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.958 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.958 * [taylor]: Taking taylor expansion of N in N 6.959 * [taylor]: Taking taylor expansion of 1.0 in N 6.961 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.961 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.961 * [taylor]: Taking taylor expansion of N in N 6.961 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.961 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.961 * [taylor]: Taking taylor expansion of N in N 6.961 * [taylor]: Taking taylor expansion of 1.0 in N 6.988 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 6.988 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.988 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.988 * [taylor]: Taking taylor expansion of -1 in N 6.988 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.988 * [taylor]: Taking taylor expansion of N in N 6.988 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.988 * [taylor]: Taking taylor expansion of 1.0 in N 6.988 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.988 * [taylor]: Taking taylor expansion of N in N 6.991 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.992 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.992 * [taylor]: Taking taylor expansion of -1 in N 6.992 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.992 * [taylor]: Taking taylor expansion of N in N 6.992 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.992 * [taylor]: Taking taylor expansion of 1.0 in N 6.992 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.992 * [taylor]: Taking taylor expansion of N in N 7.025 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 7.025 * [approximate]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 1/3) in (N) around 0 7.025 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 1/3) in N 7.025 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (/ (+ N 1.0) N))))) in N 7.025 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (/ (+ N 1.0) N)))) in N 7.025 * [taylor]: Taking taylor expansion of 1/3 in N 7.025 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 7.025 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.025 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.025 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.025 * [taylor]: Taking taylor expansion of N in N 7.025 * [taylor]: Taking taylor expansion of 1.0 in N 7.025 * [taylor]: Taking taylor expansion of N in N 7.028 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 1/3) in N 7.028 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (/ (+ N 1.0) N))))) in N 7.028 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (/ (+ N 1.0) N)))) in N 7.028 * [taylor]: Taking taylor expansion of 1/3 in N 7.028 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 7.028 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.028 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.028 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.028 * [taylor]: Taking taylor expansion of N in N 7.028 * [taylor]: Taking taylor expansion of 1.0 in N 7.028 * [taylor]: Taking taylor expansion of N in N 7.061 * [approximate]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 1/3) in (N) around 0 7.062 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 1/3) in N 7.062 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* N (+ (/ 1 N) 1.0)))))) in N 7.062 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* N (+ (/ 1 N) 1.0))))) in N 7.062 * [taylor]: Taking taylor expansion of 1/3 in N 7.062 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 7.062 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.062 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.062 * [taylor]: Taking taylor expansion of N in N 7.062 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.062 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.062 * [taylor]: Taking taylor expansion of N in N 7.062 * [taylor]: Taking taylor expansion of 1.0 in N 7.072 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 1/3) in N 7.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* N (+ (/ 1 N) 1.0)))))) in N 7.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* N (+ (/ 1 N) 1.0))))) in N 7.072 * [taylor]: Taking taylor expansion of 1/3 in N 7.072 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 7.072 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.072 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.072 * [taylor]: Taking taylor expansion of N in N 7.072 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.072 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.072 * [taylor]: Taking taylor expansion of N in N 7.072 * [taylor]: Taking taylor expansion of 1.0 in N 7.138 * [approximate]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 1/3) in (N) around 0 7.138 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 1/3) in N 7.138 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* -1 (* N (- 1.0 (/ 1 N)))))))) in N 7.138 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 7.138 * [taylor]: Taking taylor expansion of 1/3 in N 7.138 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 7.138 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 7.138 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.138 * [taylor]: Taking taylor expansion of -1 in N 7.138 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.138 * [taylor]: Taking taylor expansion of N in N 7.138 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.138 * [taylor]: Taking taylor expansion of 1.0 in N 7.138 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.138 * [taylor]: Taking taylor expansion of N in N 7.154 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 1/3) in N 7.154 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* -1 (* N (- 1.0 (/ 1 N)))))))) in N 7.154 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 7.154 * [taylor]: Taking taylor expansion of 1/3 in N 7.154 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 7.154 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 7.154 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.154 * [taylor]: Taking taylor expansion of -1 in N 7.154 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.154 * [taylor]: Taking taylor expansion of N in N 7.154 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.154 * [taylor]: Taking taylor expansion of 1.0 in N 7.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.154 * [taylor]: Taking taylor expansion of N in N 7.247 * * * [progress]: simplifying candidates 7.250 * [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 (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 (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 (cbrt (log (/ (+ N 1.0) N)))) (log1p (cbrt (log (/ (+ N 1.0) N)))) (log (cbrt (log (/ (+ N 1.0) N)))) (exp (cbrt (log (/ (+ N 1.0) N)))) (cbrt 1) (cbrt (log (/ (+ N 1.0) N))) (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt 1) (cbrt (log (/ (+ N 1.0) N))) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (cbrt (log (/ (+ N 1.0) N))))) (cbrt (cbrt (log (/ (+ N 1.0) N)))) (* (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 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))) (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)))) (- (+ (pow (- (log 1.0) (log N)) 1/3) (* 0.3333333333333333 (* N (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3)))) (+ (* 1/6 (* (/ (pow N 2) (pow 1.0 2)) (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3))) (* 0.1111111111111111 (* (pow N 2) (pow (/ 1 (pow (- (log 1.0) (log N)) 5)) 1/3))))) (- (+ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) N)))) (- (+ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (pow N 2)))) (+ (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) N)) (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (* (pow N 2) (pow -1.0 2)))))) 7.256 * * [simplify]: iteration 0 : 153 enodes (cost 1528 ) 7.283 * * [simplify]: iteration 1 : 344 enodes (cost 1445 ) 7.358 * * [simplify]: iteration 2 : 1049 enodes (cost 1347 ) 7.742 * * [simplify]: iteration done : 5000 enodes (cost 1263 ) 7.743 * [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 (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 (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 (cbrt (log (/ (+ N 1.0) N)))) (log1p (cbrt (log (/ (+ N 1.0) N)))) (log (cbrt (log (/ (+ N 1.0) N)))) (exp (cbrt (log (/ (+ N 1.0) N)))) 1 (cbrt (log (/ (+ N 1.0) N))) (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))) 1 (cbrt (log (/ (+ N 1.0) N))) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (cbrt (log (/ (+ N 1.0) N))))) (cbrt (cbrt (log (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ 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) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N))) (- (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 1.0 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))) (- (+ (cbrt (- (log 1.0) (log N))) (* (cbrt (/ 1 (pow (- (log 1.0) (log N)) 2))) (- (* 0.3333333333333333 N) (* 1/6 (/ (pow N 2) (pow 1.0 2)))))) (* (* 0.1111111111111111 (pow N 2)) (cbrt (/ 1 (pow (- (log 1.0) (log N)) 5))))) (+ (- (* (/ (cbrt (/ (exp (log 1.0)) N)) (* N N)) (- 0.125 (/ 0.041666666666666664 (pow 1.0 2)))) (/ (cbrt (/ (exp (log 1.0)) N)) (/ N 0.16666666666666666))) (cbrt (/ (exp (log 1.0)) N))) (+ (cbrt (exp (+ (log -1.0) (log (/ -1 N))))) (- (* (/ (cbrt (exp (+ (log -1.0) (log (/ -1 N))))) (* N N)) (- 0.125 (/ 0.041666666666666664 (pow -1.0 2)))) (* (/ (cbrt (exp (+ (log -1.0) (log (/ -1 N))))) N) 0.16666666666666666))) 7.744 * * * [progress]: adding candidates to table 8.070 * [progress]: [Phase 3 of 3] Extracting. 8.070 * * [regime]: Finding splitpoints for: (# # # # #) 8.072 * * * [regime-changes]: Trying 1 branch expressions: (N) 8.072 * * * * [regimes]: Trying to branch on N from (# # # # #) 8.099 * * * [regime]: Found split indices: #