13.220 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.049 * * * [progress]: [2/2] Setting up program. 0.051 * [progress]: [Phase 2 of 3] Improving. 0.052 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.054 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.055 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.056 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.056 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.057 * * [progress]: iteration 1 / 4 0.057 * * * [progress]: picking best candidate 0.058 * * * * [pick]: Picked # 0.058 * * * [progress]: localizing error 0.067 * * * [progress]: generating rewritten candidates 0.067 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.071 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.081 * * * [progress]: generating series expansions 0.081 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.081 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.081 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.081 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.082 * [taylor]: Taking taylor expansion of 1.0 in N 0.082 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.082 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.083 * [taylor]: Taking taylor expansion of 1.0 in N 0.095 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.095 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.095 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.095 * [taylor]: Taking taylor expansion of N in N 0.095 * [taylor]: Taking taylor expansion of 1.0 in N 0.096 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.096 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.096 * [taylor]: Taking taylor expansion of N in N 0.096 * [taylor]: Taking taylor expansion of 1.0 in N 0.108 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.108 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.108 * [taylor]: Taking taylor expansion of 1.0 in N 0.108 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.108 * [taylor]: Taking taylor expansion of N in N 0.109 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.109 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.109 * [taylor]: Taking taylor expansion of 1.0 in N 0.109 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.109 * [taylor]: Taking taylor expansion of N in N 0.122 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.122 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.122 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.122 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.122 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.122 * [taylor]: Taking taylor expansion of N in N 0.122 * [taylor]: Taking taylor expansion of 1.0 in N 0.123 * [taylor]: Taking taylor expansion of (log N) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.123 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.123 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.123 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.123 * [taylor]: Taking taylor expansion of 1.0 in N 0.124 * [taylor]: Taking taylor expansion of (log N) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.141 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.141 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.141 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.141 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.141 * [taylor]: Taking taylor expansion of N in N 0.141 * [taylor]: Taking taylor expansion of 1.0 in N 0.142 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.142 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.142 * [taylor]: Taking taylor expansion of N in N 0.142 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.142 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.142 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.142 * [taylor]: Taking taylor expansion of N in N 0.146 * [taylor]: Taking taylor expansion of 1.0 in N 0.147 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.176 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.176 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.176 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.176 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.176 * [taylor]: Taking taylor expansion of 1.0 in N 0.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.177 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.178 * [taylor]: Taking taylor expansion of -1 in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.178 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.178 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.178 * [taylor]: Taking taylor expansion of 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 0.179 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.179 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.179 * [taylor]: Taking taylor expansion of -1 in N 0.179 * [taylor]: Taking taylor expansion of N in N 0.211 * * * [progress]: simplifying candidates 0.213 * [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)))) 0.218 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.223 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.240 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.335 * * [simplify]: iteration 3 : 5001 enodes (cost 345 ) 0.338 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (fma (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N)) (* (log N) (log N))) (log (/ 1 N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (log (/ 1 N)) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) 0.341 * * * [progress]: adding candidates to table 0.453 * * [progress]: iteration 2 / 4 0.453 * * * [progress]: picking best candidate 0.458 * * * * [pick]: Picked # 0.459 * * * [progress]: localizing error 0.463 * * * [progress]: generating rewritten candidates 0.463 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.470 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.478 * * * [progress]: generating series expansions 0.478 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.478 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.478 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.478 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.478 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.478 * [taylor]: Taking taylor expansion of N in N 0.478 * [taylor]: Taking taylor expansion of 1.0 in N 0.478 * [taylor]: Taking taylor expansion of N in N 0.479 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.479 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.479 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.479 * [taylor]: Taking taylor expansion of N in N 0.479 * [taylor]: Taking taylor expansion of 1.0 in N 0.479 * [taylor]: Taking taylor expansion of N in N 0.493 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.493 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.493 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.493 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [taylor]: Taking taylor expansion of 1.0 in N 0.495 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.495 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.495 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [taylor]: Taking taylor expansion of 1.0 in N 0.520 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.521 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.521 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.521 * [taylor]: Taking taylor expansion of -1 in N 0.521 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.521 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.521 * [taylor]: Taking taylor expansion of 1.0 in N 0.521 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.524 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.524 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.524 * [taylor]: Taking taylor expansion of -1 in N 0.524 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.524 * [taylor]: Taking taylor expansion of N in N 0.524 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.524 * [taylor]: Taking taylor expansion of 1.0 in N 0.524 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.524 * [taylor]: Taking taylor expansion of N in N 0.559 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.559 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.559 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.559 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.559 * [taylor]: Taking taylor expansion of N in N 0.559 * [taylor]: Taking taylor expansion of 1.0 in N 0.559 * [taylor]: Taking taylor expansion of N in N 0.560 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.560 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.560 * [taylor]: Taking taylor expansion of N in N 0.560 * [taylor]: Taking taylor expansion of 1.0 in N 0.560 * [taylor]: Taking taylor expansion of N in N 0.566 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.566 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.566 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.566 * [taylor]: Taking taylor expansion of 1.0 in N 0.566 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.566 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.567 * [taylor]: Taking taylor expansion of 1.0 in N 0.580 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.580 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.580 * [taylor]: Taking taylor expansion of -1 in N 0.580 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.580 * [taylor]: Taking taylor expansion of N in N 0.580 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.580 * [taylor]: Taking taylor expansion of 1.0 in N 0.580 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.580 * [taylor]: Taking taylor expansion of N in N 0.580 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.580 * [taylor]: Taking taylor expansion of -1 in N 0.580 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.580 * [taylor]: Taking taylor expansion of N in N 0.580 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.580 * [taylor]: Taking taylor expansion of 1.0 in N 0.580 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.580 * [taylor]: Taking taylor expansion of N in N 0.603 * * * [progress]: simplifying candidates 0.604 * [simplify]: Simplifying using # : (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.609 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.613 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.627 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.706 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.708 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (fma 2 (log (cbrt (+ N 1.0))) (log (/ 1 (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (fma N (* 1.0 (- 1.0 N)) (pow N 3)) (* N (- N 1.0)) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) 0.709 * * * [progress]: adding candidates to table 0.799 * * [progress]: iteration 3 / 4 0.799 * * * [progress]: picking best candidate 0.804 * * * * [pick]: Picked # 0.804 * * * [progress]: localizing error 0.820 * * * [progress]: generating rewritten candidates 0.820 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.824 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.827 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.830 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.869 * * * [progress]: generating series expansions 0.869 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.869 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.869 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.869 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.869 * [taylor]: Taking taylor expansion of N in N 0.869 * [taylor]: Taking taylor expansion of 1.0 in N 0.870 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.870 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.870 * [taylor]: Taking taylor expansion of N in N 0.870 * [taylor]: Taking taylor expansion of 1.0 in N 0.882 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.882 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.882 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.882 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.882 * [taylor]: Taking taylor expansion of N in N 0.882 * [taylor]: Taking taylor expansion of 1.0 in N 0.883 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.883 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.883 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.883 * [taylor]: Taking taylor expansion of N in N 0.883 * [taylor]: Taking taylor expansion of 1.0 in N 0.895 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.895 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.895 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.895 * [taylor]: Taking taylor expansion of 1.0 in N 0.895 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.895 * [taylor]: Taking taylor expansion of N in N 0.896 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.896 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.896 * [taylor]: Taking taylor expansion of 1.0 in N 0.896 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.896 * [taylor]: Taking taylor expansion of N in N 0.910 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.910 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.910 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.910 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.910 * [taylor]: Taking taylor expansion of N in N 0.910 * [taylor]: Taking taylor expansion of 1.0 in N 0.910 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.910 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.910 * [taylor]: Taking taylor expansion of N in N 0.910 * [taylor]: Taking taylor expansion of 1.0 in N 0.922 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.922 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.922 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.922 * [taylor]: Taking taylor expansion of N in N 0.922 * [taylor]: Taking taylor expansion of 1.0 in N 0.923 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.923 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.923 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.923 * [taylor]: Taking taylor expansion of N in N 0.923 * [taylor]: Taking taylor expansion of 1.0 in N 0.939 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.939 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.939 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.939 * [taylor]: Taking taylor expansion of 1.0 in N 0.939 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.939 * [taylor]: Taking taylor expansion of N in N 0.940 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.940 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.940 * [taylor]: Taking taylor expansion of 1.0 in N 0.940 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.940 * [taylor]: Taking taylor expansion of N in N 0.953 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.953 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.953 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.953 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.953 * [taylor]: Taking taylor expansion of N in N 0.953 * [taylor]: Taking taylor expansion of 1.0 in N 0.954 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.954 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.954 * [taylor]: Taking taylor expansion of N in N 0.954 * [taylor]: Taking taylor expansion of 1.0 in N 0.965 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.965 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.965 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.965 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.965 * [taylor]: Taking taylor expansion of N in N 0.966 * [taylor]: Taking taylor expansion of 1.0 in N 0.966 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.966 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.966 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.966 * [taylor]: Taking taylor expansion of N in N 0.967 * [taylor]: Taking taylor expansion of 1.0 in N 0.978 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.978 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.978 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.978 * [taylor]: Taking taylor expansion of 1.0 in N 0.978 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.978 * [taylor]: Taking taylor expansion of N in N 0.979 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.979 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.979 * [taylor]: Taking taylor expansion of 1.0 in N 0.979 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.979 * [taylor]: Taking taylor expansion of N in N 0.993 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.993 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in (N) around 0 0.993 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 0.993 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 0.993 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.993 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.993 * [taylor]: Taking taylor expansion of N in N 0.993 * [taylor]: Taking taylor expansion of 1.0 in N 0.994 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 0.994 * [taylor]: Taking taylor expansion of (log N) in N 0.994 * [taylor]: Taking taylor expansion of N in N 0.994 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 0.994 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 0.994 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.995 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.995 * [taylor]: Taking taylor expansion of N in N 0.995 * [taylor]: Taking taylor expansion of 1.0 in N 0.995 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 0.995 * [taylor]: Taking taylor expansion of (log N) in N 0.995 * [taylor]: Taking taylor expansion of N in N 1.047 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in (N) around 0 1.047 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 1.047 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 1.047 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.047 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.047 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.047 * [taylor]: Taking taylor expansion of N in N 1.047 * [taylor]: Taking taylor expansion of 1.0 in N 1.048 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 1.048 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.048 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.048 * [taylor]: Taking taylor expansion of N in N 1.049 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 1.049 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 1.049 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.049 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.049 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.049 * [taylor]: Taking taylor expansion of N in N 1.049 * [taylor]: Taking taylor expansion of 1.0 in N 1.050 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 1.050 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.050 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.050 * [taylor]: Taking taylor expansion of N in N 1.090 * [approximate]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in (N) around 0 1.090 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 1.090 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 1.090 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.090 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.090 * [taylor]: Taking taylor expansion of 1.0 in N 1.090 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.090 * [taylor]: Taking taylor expansion of N in N 1.092 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 1.092 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.092 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.092 * [taylor]: Taking taylor expansion of -1 in N 1.092 * [taylor]: Taking taylor expansion of N in N 1.093 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 1.093 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 1.093 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.093 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.093 * [taylor]: Taking taylor expansion of 1.0 in N 1.093 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.093 * [taylor]: Taking taylor expansion of N in N 1.098 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 1.098 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.098 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.098 * [taylor]: Taking taylor expansion of -1 in N 1.098 * [taylor]: Taking taylor expansion of N in N 1.175 * * * [progress]: simplifying candidates 1.185 * [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))) (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))) (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 (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) 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1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (* (pow (log N) 3) (+ (- 1) 1)) (expm1 (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (log1p (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (- (pow (log N) 3)) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (log (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (pow (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) 3) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (fma (+ (log N) (log (+ N 1.0))) (log N) (pow (cbrt (log (+ N 1.0))) 6)) (- (log (+ N 1.0)) (log N)) (- (pow (pow (log (+ N 1.0)) 3) 3) (pow (pow (log N) 3) 3)) (fma (pow (log N) 3) (+ (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (pow (log (+ N 1.0)) 6)) (- (pow (log N) 3)) (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6)) (+ (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) 3/2)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) 3/2)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) 3/2)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) 3/2)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (- (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (log N) 3/2)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (log N) 3/2)) (+ (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (+ (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (+ (pow (log (+ N 1.0)) 3/2) (sqrt (pow (log N) 3))) (- (pow (log (+ N 1.0)) 3/2) (sqrt (pow (log N) 3))) (+ (pow (log (+ N 1.0)) 3/2) (pow (log N) 3/2)) (- (pow (log (+ N 1.0)) 3/2) (pow (log N) 3/2)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log N) 3)) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma 1.0 (/ 1 N) (- (fma 0.5 (/ 1 (pow N 2)) (log (/ 1 N))))) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma 1.0 (/ 1 N) (- (fma 0.5 (/ 1 (pow N 2)) (log (/ 1 N))))) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma 1.0 (/ 1 N) (- (fma 0.5 (/ 1 (pow N 2)) (log (/ 1 N))))) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) (fma (* 3.0 (pow N 2)) (log 1.0) (- (fma 3.0 (* N (pow (log 1.0) 2)) (pow (log 1.0) 3)) (fma 3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2)) (pow (log N) 3)))) (fma 1.0 (/ 1 (pow N 3)) (- (fma 3.0 (/ (pow (log (/ 1 N)) 2) N) (fma 1.0 (/ (pow (log (/ 1 N)) 2) (pow N 3)) (* 3.0 (/ (log (/ 1 N)) (pow N 3))))) (fma 1.5 (/ (pow (log (/ 1 N)) 2) (pow N 2)) (* 3.0 (/ (log (/ 1 N)) (pow N 2)))))) (fma 3.0 (/ (pow (log -1) 2) N) (- (fma 3.0 (/ (log (/ -1 N)) (pow N 3)) (fma 1.0 (/ (pow (log -1) 2) (pow N 3)) (fma 3.0 (/ (pow (log (/ -1 N)) 2) N) (fma 1.0 (/ 1 (pow N 3)) (fma 3.0 (/ (* (log -1) (log (/ -1 N))) (pow N 2)) (fma 1.0 (/ (pow (log (/ -1 N)) 2) (pow N 3)) (* 3.0 (/ (log -1) (pow N 2))))))))) (fma 2.0 (/ (* (log -1) (log (/ -1 N))) (pow N 3)) (fma 1.5 (/ (pow (log -1) 2) (pow N 2)) (fma 3.0 (/ (log -1) (pow N 3)) (fma 6.0 (/ (* (log -1) (log (/ -1 N))) N) (fma 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2)) (* 3.0 (/ (log (/ -1 N)) (pow N 2)))))))))) 1.303 * * * [progress]: adding candidates to table 1.612 * * [progress]: iteration 4 / 4 1.612 * * * [progress]: picking best candidate 1.623 * * * * [pick]: Picked # 1.623 * * * [progress]: localizing error 1.645 * * * [progress]: generating rewritten candidates 1.645 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.646 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.649 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.652 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 1.657 * * * [progress]: generating series expansions 1.657 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.657 * [approximate]: Taking taylor expansion of (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6)) in (N) around 0 1.657 * [taylor]: Taking taylor expansion of (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6)) in N 1.657 * [taylor]: Rewrote expression to (+ (* (- (pow (log N) 3)) (pow (log N) 3)) (pow (log (+ N 1.0)) 6)) 1.657 * [taylor]: Taking taylor expansion of (* (- (pow (log N) 3)) (pow (log N) 3)) in N 1.657 * [taylor]: Taking taylor expansion of (- (pow (log N) 3)) in N 1.657 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 1.657 * [taylor]: Taking taylor expansion of (log N) in N 1.657 * [taylor]: Taking taylor expansion of N in N 1.658 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 1.658 * [taylor]: Taking taylor expansion of (log N) in N 1.658 * [taylor]: Taking taylor expansion of N in N 1.659 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 6) in N 1.659 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.659 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.659 * [taylor]: Taking taylor expansion of N in N 1.659 * [taylor]: Taking taylor expansion of 1.0 in N 1.660 * [taylor]: Taking taylor expansion of (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6)) in N 1.660 * [taylor]: Rewrote expression to (+ (* (- (pow (log N) 3)) (pow (log N) 3)) (pow (log (+ N 1.0)) 6)) 1.660 * [taylor]: Taking taylor expansion of (* (- (pow (log N) 3)) (pow (log N) 3)) in N 1.660 * [taylor]: Taking taylor expansion of (- (pow (log N) 3)) in N 1.660 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 1.660 * [taylor]: Taking taylor expansion of (log N) in N 1.660 * [taylor]: Taking taylor expansion of N in N 1.660 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 1.660 * [taylor]: Taking taylor expansion of (log N) in N 1.660 * [taylor]: Taking taylor expansion of N in N 1.661 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 6) in N 1.661 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.661 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.661 * [taylor]: Taking taylor expansion of N in N 1.661 * [taylor]: Taking taylor expansion of 1.0 in N 1.743 * [approximate]: Taking taylor expansion of (fma (- (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3) (pow (log (+ (/ 1 N) 1.0)) 6)) in (N) around 0 1.743 * [taylor]: Taking taylor expansion of (fma (- (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3) (pow (log (+ (/ 1 N) 1.0)) 6)) in N 1.743 * [taylor]: Rewrote expression to (+ (* (- (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3)) (pow (log (+ (/ 1 N) 1.0)) 6)) 1.743 * [taylor]: Taking taylor expansion of (* (- (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3)) in N 1.743 * [taylor]: Taking taylor expansion of (- (pow (log (/ 1 N)) 3)) in N 1.743 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 1.743 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.743 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.743 * [taylor]: Taking taylor expansion of N in N 1.744 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 1.744 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.744 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.744 * [taylor]: Taking taylor expansion of N in N 1.745 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 6) in N 1.745 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.745 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.745 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.745 * [taylor]: Taking taylor expansion of N in N 1.746 * [taylor]: Taking taylor expansion of 1.0 in N 1.746 * [taylor]: Taking taylor expansion of (fma (- (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3) (pow (log (+ (/ 1 N) 1.0)) 6)) in N 1.746 * [taylor]: Rewrote expression to (+ (* (- (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3)) (pow (log (+ (/ 1 N) 1.0)) 6)) 1.746 * [taylor]: Taking taylor expansion of (* (- (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3)) in N 1.746 * [taylor]: Taking taylor expansion of (- (pow (log (/ 1 N)) 3)) in N 1.746 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 1.746 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.747 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.747 * [taylor]: Taking taylor expansion of N in N 1.747 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 1.747 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.747 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.747 * [taylor]: Taking taylor expansion of N in N 1.748 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 6) in N 1.748 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.748 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.748 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.748 * [taylor]: Taking taylor expansion of N in N 1.748 * [taylor]: Taking taylor expansion of 1.0 in N 1.809 * [approximate]: Taking taylor expansion of (fma (- (pow (log (/ -1 N)) 3)) (pow (log (/ -1 N)) 3) (pow (log (- 1.0 (/ 1 N))) 6)) in (N) around 0 1.809 * [taylor]: Taking taylor expansion of (fma (- (pow (log (/ -1 N)) 3)) (pow (log (/ -1 N)) 3) (pow (log (- 1.0 (/ 1 N))) 6)) in N 1.809 * [taylor]: Rewrote expression to (+ (* (- (pow (log (/ -1 N)) 3)) (pow (log (/ -1 N)) 3)) (pow (log (- 1.0 (/ 1 N))) 6)) 1.809 * [taylor]: Taking taylor expansion of (* (- (pow (log (/ -1 N)) 3)) (pow (log (/ -1 N)) 3)) in N 1.809 * [taylor]: Taking taylor expansion of (- (pow (log (/ -1 N)) 3)) in N 1.809 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 1.809 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.809 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.809 * [taylor]: Taking taylor expansion of -1 in N 1.809 * [taylor]: Taking taylor expansion of N in N 1.811 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 1.811 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.811 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.811 * [taylor]: Taking taylor expansion of -1 in N 1.811 * [taylor]: Taking taylor expansion of N in N 1.812 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 6) in N 1.812 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.812 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.812 * [taylor]: Taking taylor expansion of 1.0 in N 1.812 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.812 * [taylor]: Taking taylor expansion of N in N 1.813 * [taylor]: Taking taylor expansion of (fma (- (pow (log (/ -1 N)) 3)) (pow (log (/ -1 N)) 3) (pow (log (- 1.0 (/ 1 N))) 6)) in N 1.813 * [taylor]: Rewrote expression to (+ (* (- (pow (log (/ -1 N)) 3)) (pow (log (/ -1 N)) 3)) (pow (log (- 1.0 (/ 1 N))) 6)) 1.814 * [taylor]: Taking taylor expansion of (* (- (pow (log (/ -1 N)) 3)) (pow (log (/ -1 N)) 3)) in N 1.814 * [taylor]: Taking taylor expansion of (- (pow (log (/ -1 N)) 3)) in N 1.814 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 1.814 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.814 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.814 * [taylor]: Taking taylor expansion of -1 in N 1.814 * [taylor]: Taking taylor expansion of N in N 1.815 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 1.815 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.815 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.815 * [taylor]: Taking taylor expansion of -1 in N 1.815 * [taylor]: Taking taylor expansion of N in N 1.816 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 6) in N 1.816 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.816 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.816 * [taylor]: Taking taylor expansion of 1.0 in N 1.816 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.816 * [taylor]: Taking taylor expansion of N in N 2.012 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 2.012 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 2.012 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.012 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.012 * [taylor]: Taking taylor expansion of N in N 2.012 * [taylor]: Taking taylor expansion of 1.0 in N 2.012 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.012 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.012 * [taylor]: Taking taylor expansion of N in N 2.012 * [taylor]: Taking taylor expansion of 1.0 in N 2.024 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 2.024 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.024 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.024 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.024 * [taylor]: Taking taylor expansion of N in N 2.024 * [taylor]: Taking taylor expansion of 1.0 in N 2.025 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.025 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.025 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.025 * [taylor]: Taking taylor expansion of N in N 2.025 * [taylor]: Taking taylor expansion of 1.0 in N 2.037 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 2.037 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.037 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.037 * [taylor]: Taking taylor expansion of 1.0 in N 2.037 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.037 * [taylor]: Taking taylor expansion of N in N 2.038 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.038 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.038 * [taylor]: Taking taylor expansion of 1.0 in N 2.038 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.038 * [taylor]: Taking taylor expansion of N in N 2.052 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.052 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 2.052 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.052 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.052 * [taylor]: Taking taylor expansion of N in N 2.052 * [taylor]: Taking taylor expansion of 1.0 in N 2.053 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.053 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.053 * [taylor]: Taking taylor expansion of N in N 2.053 * [taylor]: Taking taylor expansion of 1.0 in N 2.064 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 2.064 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.064 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.064 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.064 * [taylor]: Taking taylor expansion of N in N 2.065 * [taylor]: Taking taylor expansion of 1.0 in N 2.065 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.065 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.065 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.065 * [taylor]: Taking taylor expansion of N in N 2.065 * [taylor]: Taking taylor expansion of 1.0 in N 2.081 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 2.081 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.081 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.081 * [taylor]: Taking taylor expansion of 1.0 in N 2.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.081 * [taylor]: Taking taylor expansion of N in N 2.082 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.082 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.082 * [taylor]: Taking taylor expansion of 1.0 in N 2.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.082 * [taylor]: Taking taylor expansion of N in N 2.096 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 2.096 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 2.096 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.096 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.096 * [taylor]: Taking taylor expansion of N in N 2.096 * [taylor]: Taking taylor expansion of 1.0 in N 2.096 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.096 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.096 * [taylor]: Taking taylor expansion of N in N 2.096 * [taylor]: Taking taylor expansion of 1.0 in N 2.108 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 2.108 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.108 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.108 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.108 * [taylor]: Taking taylor expansion of N in N 2.108 * [taylor]: Taking taylor expansion of 1.0 in N 2.109 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.109 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.109 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.109 * [taylor]: Taking taylor expansion of N in N 2.109 * [taylor]: Taking taylor expansion of 1.0 in N 2.121 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 2.121 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.121 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.121 * [taylor]: Taking taylor expansion of 1.0 in N 2.121 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.121 * [taylor]: Taking taylor expansion of N in N 2.122 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.122 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.122 * [taylor]: Taking taylor expansion of 1.0 in N 2.122 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.122 * [taylor]: Taking taylor expansion of N in N 2.135 * * * [progress]: simplifying candidates 2.137 * [simplify]: Simplifying using # : (expm1 (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6))) (log1p (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6))) (* (- (pow (log N) 3)) (pow (log N) 3)) (log (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6))) (exp (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6))) (* (cbrt (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6))) (cbrt (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6)))) (cbrt (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6))) (* (* (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6)) (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6))) (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6))) (sqrt (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6))) (sqrt (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6))) (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))) (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))) (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))) (- (+ (pow (log 1.0) 6) (+ (* 6.0 (* N (pow (log 1.0) 5))) (* 15.0 (* (pow N 2) (pow (log 1.0) 4))))) (+ (* 3 (/ (* (pow N 2) (pow (log 1.0) 5)) (pow 1.0 2))) (pow (log N) 6))) (- (+ (* 15.0 (/ (pow (log (/ 1 N)) 4) (pow N 2))) (* 3.0 (/ (pow (log (/ 1 N)) 5) (pow N 2)))) (+ (* 15.0 (/ (pow (log (/ 1 N)) 4) (pow N 3))) (+ (* 2.0 (/ (pow (log (/ 1 N)) 5) (pow N 3))) (+ (* 20.0 (/ (pow (log (/ 1 N)) 3) (pow N 3))) (* 6.0 (/ (pow (log (/ 1 N)) 5) N)))))) (- (+ (* 20.0 (/ (pow (log -1) 3) (pow N 3))) (+ (* 15.0 (/ (* (pow (log -1) 4) (log (/ -1 N))) (pow N 2))) (+ (* 60.0 (/ (* (pow (log -1) 3) (pow (log (/ -1 N)) 2)) N)) (+ (* 30.0 (/ (* (pow (log -1) 2) (pow (log (/ -1 N)) 3)) (pow N 2))) (+ (* 15.0 (/ (pow (log (/ -1 N)) 4) (pow N 2))) (+ (* 30.0 (/ (* (log -1) (pow (log (/ -1 N)) 4)) N)) (+ (* 90.0 (/ (* (pow (log -1) 2) (pow (log (/ -1 N)) 2)) (pow N 2))) (+ (* 60.0 (/ (* (log -1) (pow (log (/ -1 N)) 3)) (pow N 3))) (+ (* 60.0 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (pow N 3))) (+ (* 10.0 (/ (* (log -1) (pow (log (/ -1 N)) 4)) (pow N 3))) (+ (* 15.0 (/ (pow (log -1) 4) (pow N 2))) (+ (* 2.0 (/ (pow (log -1) 5) (pow N 3))) (+ (* 60.0 (/ (* (pow (log -1) 3) (log (/ -1 N))) (pow N 3))) (+ (* 6.0 (/ (pow (log -1) 5) N)) (+ (* 3.0 (/ (pow (log (/ -1 N)) 5) (pow N 2))) (* 20.0 (/ (* (pow (log -1) 3) (pow (log (/ -1 N)) 2)) (pow N 3)))))))))))))))))) (+ (* 15.0 (/ (pow (log (/ -1 N)) 4) (pow N 3))) (+ (* 15.0 (/ (pow (log -1) 4) (pow N 3))) (+ (* 6.0 (/ (pow (log (/ -1 N)) 5) N)) (+ (* 90.0 (/ (* (pow (log -1) 2) (pow (log (/ -1 N)) 2)) (pow N 3))) (+ (* 60.0 (/ (* (log -1) (pow (log (/ -1 N)) 3)) (pow N 2))) (+ (* 2.0 (/ (pow (log (/ -1 N)) 5) (pow N 3))) (+ (* 20.0 (/ (pow (log (/ -1 N)) 3) (pow N 3))) (+ (* 60.0 (/ (* (pow (log -1) 3) (log (/ -1 N))) (pow N 2))) (+ (* 10.0 (/ (* (pow (log -1) 4) (log (/ -1 N))) (pow N 3))) (+ (* 30.0 (/ (* (pow (log -1) 3) (pow (log (/ -1 N)) 2)) (pow N 2))) (+ (* 15.0 (/ (* (log -1) (pow (log (/ -1 N)) 4)) (pow N 2))) (+ (* 20.0 (/ (* (pow (log -1) 2) (pow (log (/ -1 N)) 3)) (pow N 3))) (+ (* 3.0 (/ (pow (log -1) 5) (pow N 2))) (+ (* 60.0 (/ (* (pow (log -1) 2) (pow (log (/ -1 N)) 3)) N)) (+ (* 60.0 (/ (* (pow (log -1) 2) (log (/ -1 N))) (pow N 3))) (* 30.0 (/ (* (pow (log -1) 4) (log (/ -1 N))) N)))))))))))))))))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 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)))) 2.145 * * [simplify]: iteration 0 : 675 enodes (cost 712 ) 2.158 * * [simplify]: iteration 1 : 3136 enodes (cost 655 ) 2.201 * * [simplify]: iteration 2 : 5001 enodes (cost 655 ) 2.205 * [simplify]: Simplified to: (expm1 (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6))) (log1p (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6))) (- (pow (log N) 6)) (log (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6))) (exp (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6))) (* (cbrt (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6))) (cbrt (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6)))) (cbrt (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6))) (pow (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6)) 3) (sqrt (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6))) (sqrt (fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (+ (pow (log 1.0) 6) (- (fma 6.0 (* N (pow (log 1.0) 5)) (* 15.0 (* (pow N 2) (pow (log 1.0) 4)))) (fma 3 (/ (* (pow N 2) (pow (log 1.0) 5)) (pow 1.0 2)) (pow (log N) 6)))) (fma 15.0 (/ (pow (log (/ 1 N)) 4) (pow N 2)) (- (* 3.0 (/ (pow (log (/ 1 N)) 5) (pow N 2))) (fma 15.0 (/ (pow (log (/ 1 N)) 4) (pow N 3)) (fma 2.0 (/ (pow (log (/ 1 N)) 5) (pow N 3)) (fma 20.0 (/ (pow (log (/ 1 N)) 3) (pow N 3)) (* 6.0 (/ (pow (log (/ 1 N)) 5) N))))))) (fma 20.0 (/ (pow (log -1) 3) (pow N 3)) (- (fma 15.0 (/ (* (pow (log -1) 4) (log (/ -1 N))) (pow N 2)) (fma 60.0 (/ (* (pow (log -1) 3) (pow (log (/ -1 N)) 2)) N) (fma 30.0 (/ (* (pow (log -1) 2) (pow (log (/ -1 N)) 3)) (pow N 2)) (fma 15.0 (/ (pow (log (/ -1 N)) 4) (pow N 2)) (fma 30.0 (/ (* (log -1) (pow (log (/ -1 N)) 4)) N) (fma 90.0 (/ (* (pow (log -1) 2) (pow (log (/ -1 N)) 2)) (pow N 2)) (fma 60.0 (/ (* (log -1) (pow (log (/ -1 N)) 3)) (pow N 3)) (fma 60.0 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (pow N 3)) (fma 10.0 (/ (* (log -1) (pow (log (/ -1 N)) 4)) (pow N 3)) (fma 15.0 (/ (pow (log -1) 4) (pow N 2)) (fma 2.0 (/ (pow (log -1) 5) (pow N 3)) (fma 60.0 (/ (* (pow (log -1) 3) (log (/ -1 N))) (pow N 3)) (fma 6.0 (/ (pow (log -1) 5) N) (fma 3.0 (/ (pow (log (/ -1 N)) 5) (pow N 2)) (* 20.0 (/ (* (pow (log -1) 3) (pow (log (/ -1 N)) 2)) (pow N 3))))))))))))))))) (fma 15.0 (/ (pow (log (/ -1 N)) 4) (pow N 3)) (fma 15.0 (/ (pow (log -1) 4) (pow N 3)) (fma 6.0 (/ (pow (log (/ -1 N)) 5) N) (fma 90.0 (/ (* (pow (log -1) 2) (pow (log (/ -1 N)) 2)) (pow N 3)) (fma 60.0 (/ (* (log -1) (pow (log (/ -1 N)) 3)) (pow N 2)) (fma 2.0 (/ (pow (log (/ -1 N)) 5) (pow N 3)) (fma 20.0 (/ (pow (log (/ -1 N)) 3) (pow N 3)) (fma 60.0 (/ (* (pow (log -1) 3) (log (/ -1 N))) (pow N 2)) (fma 10.0 (/ (* (pow (log -1) 4) (log (/ -1 N))) (pow N 3)) (fma 30.0 (/ (* (pow (log -1) 3) (pow (log (/ -1 N)) 2)) (pow N 2)) (fma 15.0 (/ (* (log -1) (pow (log (/ -1 N)) 4)) (pow N 2)) (fma 20.0 (/ (* (pow (log -1) 2) (pow (log (/ -1 N)) 3)) (pow N 3)) (fma 3.0 (/ (pow (log -1) 5) (pow N 2)) (fma 60.0 (/ (* (pow (log -1) 2) (pow (log (/ -1 N)) 3)) N) (fma 60.0 (/ (* (pow (log -1) 2) (log (/ -1 N))) (pow N 3)) (* 30.0 (/ (* (pow (log -1) 4) (log (/ -1 N))) N))))))))))))))))))) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma 1.0 (/ 1 N) (- (fma 0.5 (/ 1 (pow N 2)) (log (/ 1 N))))) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma 1.0 (/ 1 N) (- (fma 0.5 (/ 1 (pow N 2)) (log (/ 1 N))))) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma 1.0 (/ 1 N) (- (fma 0.5 (/ 1 (pow N 2)) (log (/ 1 N))))) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) 2.205 * * * [progress]: adding candidates to table 2.533 * [progress]: [Phase 3 of 3] Extracting. 2.533 * * [regime]: Finding splitpoints for: (# # # #) 2.537 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.537 * * * * [regimes]: Trying to branch on N from (# # # #) 2.569 * * * [regime]: Found split indices: #