5.346 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.042 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.044 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.046 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.047 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.048 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.048 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.057 * * * [progress]: generating rewritten candidates 0.057 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.059 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.070 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.070 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.070 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.070 * [taylor]: Taking taylor expansion of 1.0 in N 0.071 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.071 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.071 * [taylor]: Taking taylor expansion of N in N 0.071 * [taylor]: Taking taylor expansion of 1.0 in N 0.082 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.082 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.082 * [taylor]: Taking taylor expansion of 1.0 in N 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 0.100 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.100 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.100 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.100 * [taylor]: Taking taylor expansion of 1.0 in N 0.100 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.100 * [taylor]: Taking taylor expansion of N in N 0.102 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.102 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.102 * [taylor]: Taking taylor expansion of 1.0 in N 0.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.102 * [taylor]: Taking taylor expansion of N in N 0.115 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.115 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.116 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.116 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.116 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.116 * [taylor]: Taking taylor expansion of N in N 0.116 * [taylor]: Taking taylor expansion of 1.0 in N 0.116 * [taylor]: Taking taylor expansion of (log N) in N 0.116 * [taylor]: Taking taylor expansion of N in N 0.116 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.116 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.116 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.116 * [taylor]: Taking taylor expansion of N in N 0.117 * [taylor]: Taking taylor expansion of 1.0 in N 0.117 * [taylor]: Taking taylor expansion of (log N) in N 0.117 * [taylor]: Taking taylor expansion of N in N 0.135 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.135 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.135 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.135 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.135 * [taylor]: Taking taylor expansion of N in N 0.135 * [taylor]: Taking taylor expansion of 1.0 in N 0.136 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.136 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.136 * [taylor]: Taking taylor expansion of N in N 0.136 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.136 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.136 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.136 * [taylor]: Taking taylor expansion of N in N 0.136 * [taylor]: Taking taylor expansion of 1.0 in N 0.137 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.167 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.167 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.167 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.167 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.167 * [taylor]: Taking taylor expansion of 1.0 in N 0.167 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.168 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.168 * [taylor]: Taking taylor expansion of -1 in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.168 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.168 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.168 * [taylor]: Taking taylor expansion of 1.0 in N 0.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.169 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.169 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.170 * [taylor]: Taking taylor expansion of -1 in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.209 * * * [progress]: simplifying candidates 0.210 * [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)))) 0.215 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.220 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.237 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.334 * * [simplify]: iteration 3 : 5001 enodes (cost 345 ) 0.336 * [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)) 0.337 * * * [progress]: adding candidates to table 0.468 * * [progress]: iteration 2 / 4 0.468 * * * [progress]: picking best candidate 0.475 * * * * [pick]: Picked # 0.475 * * * [progress]: localizing error 0.480 * * * [progress]: generating rewritten candidates 0.480 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.483 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.498 * * * [progress]: generating series expansions 0.498 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.498 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.498 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.498 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.498 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.498 * [taylor]: Taking taylor expansion of 1.0 in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.499 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.499 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.499 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.499 * [taylor]: Taking taylor expansion of N in N 0.499 * [taylor]: Taking taylor expansion of 1.0 in N 0.499 * [taylor]: Taking taylor expansion of N in N 0.512 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.512 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.512 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.512 * [taylor]: Taking taylor expansion of N in N 0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.512 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.513 * [taylor]: Taking taylor expansion of N in N 0.513 * [taylor]: Taking taylor expansion of 1.0 in N 0.515 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.515 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.515 * [taylor]: Taking taylor expansion of N in N 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.515 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.515 * [taylor]: Taking taylor expansion of N in N 0.515 * [taylor]: Taking taylor expansion of 1.0 in N 0.540 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.540 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.540 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.540 * [taylor]: Taking taylor expansion of -1 in N 0.540 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.540 * [taylor]: Taking taylor expansion of N in N 0.540 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.540 * [taylor]: Taking taylor expansion of 1.0 in N 0.540 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.540 * [taylor]: Taking taylor expansion of N in N 0.543 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.543 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.543 * [taylor]: Taking taylor expansion of -1 in N 0.544 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.544 * [taylor]: Taking taylor expansion of N in N 0.544 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.544 * [taylor]: Taking taylor expansion of 1.0 in N 0.544 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.544 * [taylor]: Taking taylor expansion of N in N 0.582 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.583 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.584 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.584 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.584 * [taylor]: Taking taylor expansion of N in N 0.584 * [taylor]: Taking taylor expansion of 1.0 in N 0.584 * [taylor]: Taking taylor expansion of N in N 0.584 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.584 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.584 * [taylor]: Taking taylor expansion of N in N 0.584 * [taylor]: Taking taylor expansion of 1.0 in N 0.585 * [taylor]: Taking taylor expansion of N in N 0.591 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.591 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.591 * [taylor]: Taking taylor expansion of N in N 0.591 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.591 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.591 * [taylor]: Taking taylor expansion of N in N 0.591 * [taylor]: Taking taylor expansion of 1.0 in N 0.591 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.591 * [taylor]: Taking taylor expansion of N in N 0.591 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.591 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.591 * [taylor]: Taking taylor expansion of N in N 0.592 * [taylor]: Taking taylor expansion of 1.0 in N 0.605 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.605 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.605 * [taylor]: Taking taylor expansion of -1 in N 0.605 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.605 * [taylor]: Taking taylor expansion of N in N 0.605 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.605 * [taylor]: Taking taylor expansion of 1.0 in N 0.605 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.605 * [taylor]: Taking taylor expansion of N in N 0.606 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.606 * [taylor]: Taking taylor expansion of -1 in N 0.606 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.606 * [taylor]: Taking taylor expansion of N in N 0.606 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.606 * [taylor]: Taking taylor expansion of 1.0 in N 0.606 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.606 * [taylor]: Taking taylor expansion of N in N 0.628 * * * [progress]: simplifying candidates 0.630 * [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) 0.634 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.638 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.653 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.732 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.735 * [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) 0.735 * * * [progress]: adding candidates to table 0.861 * * [progress]: iteration 3 / 4 0.861 * * * [progress]: picking best candidate 0.866 * * * * [pick]: Picked # 0.866 * * * [progress]: localizing error 0.875 * * * [progress]: generating rewritten candidates 0.875 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.879 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.893 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.907 * * * [progress]: generating series expansions 0.907 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.907 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 0.907 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.907 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.907 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.907 * [taylor]: Taking taylor expansion of N in N 0.907 * [taylor]: Taking taylor expansion of 1.0 in N 0.910 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.910 * [taylor]: Taking taylor expansion of (sqrt (+ 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 0.946 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 0.946 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.946 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.946 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.946 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.946 * [taylor]: Taking taylor expansion of N in N 0.946 * [taylor]: Taking taylor expansion of 1.0 in N 0.948 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.948 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.948 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.948 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.948 * [taylor]: Taking taylor expansion of N in N 0.948 * [taylor]: Taking taylor expansion of 1.0 in N 0.967 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 0.967 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 0.967 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.967 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.967 * [taylor]: Taking taylor expansion of 1.0 in N 0.967 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.967 * [taylor]: Taking taylor expansion of N in N 0.969 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 0.969 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.969 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.969 * [taylor]: Taking taylor expansion of 1.0 in N 0.969 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.969 * [taylor]: Taking taylor expansion of N in N 0.989 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.989 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in (N) around 0 0.989 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 0.989 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.989 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.989 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.989 * [taylor]: Taking taylor expansion of N in N 0.989 * [taylor]: Taking taylor expansion of 1.0 in N 0.992 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 0.992 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 0.992 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.992 * [taylor]: Taking taylor expansion of N in N 0.992 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.992 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.992 * [taylor]: Taking taylor expansion of N in N 0.992 * [taylor]: Taking taylor expansion of 1.0 in N 0.995 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 0.995 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.995 * [taylor]: Taking taylor expansion of (sqrt (+ 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 0.997 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 0.997 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 0.998 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.998 * [taylor]: Taking taylor expansion of N in N 0.998 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.998 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.998 * [taylor]: Taking taylor expansion of N in N 0.998 * [taylor]: Taking taylor expansion of 1.0 in N 1.079 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 1.079 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 1.079 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.079 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.079 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.079 * [taylor]: Taking taylor expansion of N in N 1.079 * [taylor]: Taking taylor expansion of 1.0 in N 1.081 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 1.081 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.081 * [taylor]: Taking taylor expansion of N in N 1.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.081 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.081 * [taylor]: Taking taylor expansion of N in N 1.081 * [taylor]: Taking taylor expansion of 1.0 in N 1.087 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 1.087 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.087 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.087 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.087 * [taylor]: Taking taylor expansion of N in N 1.088 * [taylor]: Taking taylor expansion of 1.0 in N 1.089 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 1.089 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.089 * [taylor]: Taking taylor expansion of N in N 1.089 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.089 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.089 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.089 * [taylor]: Taking taylor expansion of N in N 1.090 * [taylor]: Taking taylor expansion of 1.0 in N 1.149 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 1.149 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 1.149 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.149 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.149 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.149 * [taylor]: Taking taylor expansion of 1.0 in N 1.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.149 * [taylor]: Taking taylor expansion of N in N 1.151 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 1.151 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.151 * [taylor]: Taking taylor expansion of -1 in N 1.151 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.151 * [taylor]: Taking taylor expansion of N in N 1.151 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.151 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.151 * [taylor]: Taking taylor expansion of 1.0 in N 1.151 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.151 * [taylor]: Taking taylor expansion of N in N 1.161 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 1.161 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.161 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.161 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.161 * [taylor]: Taking taylor expansion of 1.0 in N 1.161 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.161 * [taylor]: Taking taylor expansion of N in N 1.163 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 1.163 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.163 * [taylor]: Taking taylor expansion of -1 in N 1.163 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.163 * [taylor]: Taking taylor expansion of N in N 1.163 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.163 * [taylor]: Taking taylor expansion of 1.0 in N 1.163 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.163 * [taylor]: Taking taylor expansion of N in N 1.228 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 1.228 * [approximate]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in (N) around 0 1.228 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.228 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.228 * [taylor]: Taking taylor expansion of N in N 1.229 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.229 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.229 * [taylor]: Taking taylor expansion of N in N 1.229 * [taylor]: Taking taylor expansion of 1.0 in N 1.230 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.230 * [taylor]: Taking taylor expansion of N in N 1.231 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.231 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.231 * [taylor]: Taking taylor expansion of N in N 1.231 * [taylor]: Taking taylor expansion of 1.0 in N 1.248 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 1.248 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.248 * [taylor]: Taking taylor expansion of N in N 1.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.248 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.248 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.248 * [taylor]: Taking taylor expansion of N in N 1.249 * [taylor]: Taking taylor expansion of 1.0 in N 1.250 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.250 * [taylor]: Taking taylor expansion of N in N 1.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.250 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.250 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.250 * [taylor]: Taking taylor expansion of N in N 1.250 * [taylor]: Taking taylor expansion of 1.0 in N 1.275 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in (N) around 0 1.275 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.275 * [taylor]: Taking taylor expansion of -1 in N 1.275 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.275 * [taylor]: Taking taylor expansion of N in N 1.275 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.275 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.275 * [taylor]: Taking taylor expansion of 1.0 in N 1.275 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.275 * [taylor]: Taking taylor expansion of N in N 1.277 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.277 * [taylor]: Taking taylor expansion of -1 in N 1.277 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.277 * [taylor]: Taking taylor expansion of N in N 1.277 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.277 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.277 * [taylor]: Taking taylor expansion of 1.0 in N 1.277 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.277 * [taylor]: Taking taylor expansion of N in N 1.301 * * * [progress]: simplifying candidates 1.303 * [simplify]: Simplifying using # : (expm1 (log (sqrt (+ N 1.0)))) (log1p (log (sqrt (+ N 1.0)))) (log (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log 1) (log (sqrt (+ N 1.0))) (log (sqrt (+ (pow N 3) (pow 1.0 3)))) (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (sqrt (- (* N N) (* 1.0 1.0)))) (log (sqrt (- N 1.0))) (log (+ N 1.0)) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (log (log (sqrt (+ N 1.0)))) (exp (log (sqrt (+ N 1.0)))) (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (* (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (expm1 (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (log1p (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)) (log (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (exp (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (* (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N))) (* (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (- (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N)))) (- (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 1))) (+ (log (sqrt (+ N 1.0))) (log 1)) (+ (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (+ (log (cbrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (sqrt (- N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (expm1 (/ (sqrt (+ N 1.0)) N)) (log1p (/ (sqrt (+ N 1.0)) N)) (- (log (sqrt (+ N 1.0))) (log N)) (log (/ (sqrt (+ N 1.0)) N)) (exp (/ (sqrt (+ N 1.0)) N)) (/ (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (* (* N N) N)) (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))) (cbrt (/ (sqrt (+ N 1.0)) N)) (* (* (/ (sqrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) N)) (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (- (sqrt (+ N 1.0))) (- N) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)) (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1) (/ (cbrt (sqrt (+ N 1.0))) N) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt (+ N 1.0))) (cbrt N)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)) (/ (sqrt (cbrt (+ N 1.0))) (sqrt N)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1) (/ (sqrt (cbrt (+ N 1.0))) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) 1) (/ (sqrt (sqrt (+ N 1.0))) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt (+ N 1.0)) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt (+ N 1.0)) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) 1) (/ (sqrt (sqrt (+ N 1.0))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 1) (/ (sqrt (+ N 1.0)) N) (/ 1 N) (/ N (sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ N (cbrt (sqrt (+ N 1.0)))) (/ N (sqrt (cbrt (+ N 1.0)))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (* N (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* N (sqrt (- N 1.0))) (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (+ (* 2 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (/ (sqrt 1.0) N)) (* 1/8 (/ N (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) 1.310 * * [simplify]: iteration 0 : 476 enodes (cost 1060 ) 1.317 * * [simplify]: iteration 1 : 1471 enodes (cost 971 ) 1.343 * * [simplify]: iteration 2 : 5002 enodes (cost 878 ) 1.347 * [simplify]: Simplified to: (expm1 (log (sqrt (+ N 1.0)))) (log1p (log (sqrt (+ N 1.0)))) (* 2 (log (cbrt (sqrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) 0 (log (sqrt (+ N 1.0))) 0 (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) 0 (log (sqrt (+ N 1.0))) (log (sqrt (+ (pow N 3) (pow 1.0 3)))) (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (sqrt (- (* N N) (* 1.0 1.0)))) (log (sqrt (- N 1.0))) (log (+ N 1.0)) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (log (log (sqrt (+ N 1.0)))) (sqrt (+ N 1.0)) (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (pow (log (sqrt (+ N 1.0))) 3) (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (expm1 (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (log1p (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (/ (+ N 1.0) N) (log (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (/ (+ N 1.0) N) (* (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (pow (- (* 2 (log (sqrt (+ N 1.0)))) (log N)) 3) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 N))) (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))))) (* (log N) (- (* 2 (log (sqrt (+ N 1.0)))) (log N))) (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)) (fma 2 (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (+ N 1.0)))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (* 2 (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))))) (- (fma 2 (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (log (sqrt N))) (fma 2 (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (- (+ (log (sqrt (+ N 1.0))) (log (/ (fabs (cbrt (+ N 1.0))) (cbrt N)))) (log (cbrt N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (+ N 1.0)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (log (sqrt (+ N 1.0))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (+ (log (cbrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (+ N 1.0)) (log N)) (log (+ N 1.0)) (- (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (sqrt (- N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (expm1 (/ (sqrt (+ N 1.0)) N)) (log1p (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N)) (exp (/ (sqrt (+ N 1.0)) N)) (pow (/ (sqrt (+ N 1.0)) N) 3) (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))) (cbrt (/ (sqrt (+ N 1.0)) N)) (pow (/ (sqrt (+ N 1.0)) N) 3) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (- (sqrt (+ N 1.0))) (- N) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)) (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (/ (cbrt (sqrt (+ N 1.0))) N) (/ (/ (fabs (cbrt (+ N 1.0))) (cbrt N)) (cbrt N)) (/ (sqrt (cbrt (+ N 1.0))) (cbrt N)) (/ (fabs (cbrt (+ N 1.0))) (* (sqrt N) 1)) (/ (sqrt (cbrt (+ N 1.0))) (sqrt N)) (fabs (cbrt (+ N 1.0))) (/ (sqrt (cbrt (+ N 1.0))) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (sqrt (sqrt (+ N 1.0))) (/ (sqrt (sqrt (+ N 1.0))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) 1 (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) 1 (/ (sqrt (+ N 1.0)) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (sqrt (sqrt (+ N 1.0))) (/ (sqrt (sqrt (+ N 1.0))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) 1 (/ (sqrt (+ N 1.0)) N) (/ 1 N) (/ N (sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ N (cbrt (sqrt (+ N 1.0)))) (/ N (sqrt (cbrt (+ N 1.0)))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (* N (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* N (sqrt (- N 1.0))) (fma 1/2 (/ N 1.0) (- (log (sqrt 1.0)) (* (/ 1/4 1.0) (/ (pow N 2) 1.0)))) (fma +nan.0 (- (/ 1 (pow N 2)) (/ 1 N)) (log +nan.0)) (fma +nan.0 (- (/ 1 (pow N 2)) (/ 1 N)) (log +nan.0)) (- (/ N 1.0) (- (fma (/ 1/2 1.0) (/ (pow N 2) 1.0) (log N)) (* 2 (log (sqrt 1.0))))) (fma +nan.0 (- (/ 1 N) (/ 1 (pow N 2))) (- (+ (log (- +nan.0)) (log +nan.0)) (log N))) (fma +nan.0 (- (/ 1 N) (/ 1 (pow N 2))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N))))) (fma 1/2 (/ 1 (sqrt 1.0)) (- (/ (sqrt 1.0) N) (* 1/8 (/ N (pow (sqrt 1.0) 3))))) (fma +nan.0 (- (/ 1 (pow N 2)) (/ 1 N)) (/ (- +nan.0) (pow N 3))) (fma +nan.0 (- (/ 1 (pow N 2)) (/ 1 N)) (/ (- +nan.0) (pow N 3))) 1.348 * * * [progress]: adding candidates to table 1.653 * * [progress]: iteration 4 / 4 1.653 * * * [progress]: picking best candidate 1.661 * * * * [pick]: Picked # 1.661 * * * [progress]: localizing error 1.673 * * * [progress]: generating rewritten candidates 1.673 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.675 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.678 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.680 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.691 * * * [progress]: generating series expansions 1.691 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.691 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.691 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.691 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.691 * [taylor]: Taking taylor expansion of N in N 1.691 * [taylor]: Taking taylor expansion of 1.0 in N 1.692 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.692 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.692 * [taylor]: Taking taylor expansion of N in N 1.692 * [taylor]: Taking taylor expansion of 1.0 in N 1.703 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.703 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.703 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.703 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.703 * [taylor]: Taking taylor expansion of N in N 1.704 * [taylor]: Taking taylor expansion of 1.0 in N 1.704 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.704 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.704 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.704 * [taylor]: Taking taylor expansion of N in N 1.704 * [taylor]: Taking taylor expansion of 1.0 in N 1.716 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.716 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.716 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.716 * [taylor]: Taking taylor expansion of 1.0 in N 1.717 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.717 * [taylor]: Taking taylor expansion of N in N 1.717 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.718 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.718 * [taylor]: Taking taylor expansion of 1.0 in N 1.718 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.718 * [taylor]: Taking taylor expansion of N in N 1.731 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.731 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.731 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.731 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.731 * [taylor]: Taking taylor expansion of N in N 1.731 * [taylor]: Taking taylor expansion of 1.0 in N 1.732 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.732 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.732 * [taylor]: Taking taylor expansion of N in N 1.732 * [taylor]: Taking taylor expansion of 1.0 in N 1.749 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.749 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.749 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.749 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.749 * [taylor]: Taking taylor expansion of N in N 1.749 * [taylor]: Taking taylor expansion of 1.0 in N 1.749 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.750 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.750 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.750 * [taylor]: Taking taylor expansion of N in N 1.750 * [taylor]: Taking taylor expansion of 1.0 in N 1.762 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.762 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.762 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.762 * [taylor]: Taking taylor expansion of 1.0 in N 1.762 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.762 * [taylor]: Taking taylor expansion of N in N 1.763 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.763 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.763 * [taylor]: Taking taylor expansion of 1.0 in N 1.763 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.763 * [taylor]: Taking taylor expansion of N in N 1.777 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.777 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.777 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.777 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.777 * [taylor]: Taking taylor expansion of N in N 1.777 * [taylor]: Taking taylor expansion of 1.0 in N 1.778 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.778 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.778 * [taylor]: Taking taylor expansion of N in N 1.778 * [taylor]: Taking taylor expansion of 1.0 in N 1.789 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.789 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.789 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.789 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.789 * [taylor]: Taking taylor expansion of N in N 1.789 * [taylor]: Taking taylor expansion of 1.0 in N 1.790 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.790 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.790 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.790 * [taylor]: Taking taylor expansion of N in N 1.790 * [taylor]: Taking taylor expansion of 1.0 in N 1.802 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.802 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.802 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.802 * [taylor]: Taking taylor expansion of 1.0 in N 1.802 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.802 * [taylor]: Taking taylor expansion of N in N 1.803 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.803 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.803 * [taylor]: Taking taylor expansion of 1.0 in N 1.803 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.803 * [taylor]: Taking taylor expansion of N in N 1.817 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.817 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 2) (pow (log N) 2)) in (N) around 0 1.817 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 2) (pow (log N) 2)) in N 1.818 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 2) in N 1.818 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.818 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.818 * [taylor]: Taking taylor expansion of N in N 1.818 * [taylor]: Taking taylor expansion of 1.0 in N 1.818 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 1.818 * [taylor]: Taking taylor expansion of (log N) in N 1.818 * [taylor]: Taking taylor expansion of N in N 1.819 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 2) (pow (log N) 2)) in N 1.819 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 2) in N 1.819 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.819 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.819 * [taylor]: Taking taylor expansion of N in N 1.819 * [taylor]: Taking taylor expansion of 1.0 in N 1.819 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 1.819 * [taylor]: Taking taylor expansion of (log N) in N 1.819 * [taylor]: Taking taylor expansion of N in N 1.855 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 2) (pow (log (/ 1 N)) 2)) in (N) around 0 1.855 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 2) (pow (log (/ 1 N)) 2)) in N 1.855 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 2) in N 1.855 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.855 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.855 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.855 * [taylor]: Taking taylor expansion of N in N 1.855 * [taylor]: Taking taylor expansion of 1.0 in N 1.856 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 1.856 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.856 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.856 * [taylor]: Taking taylor expansion of N in N 1.857 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 2) (pow (log (/ 1 N)) 2)) in N 1.857 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 2) in N 1.857 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.857 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.857 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.857 * [taylor]: Taking taylor expansion of N in N 1.857 * [taylor]: Taking taylor expansion of 1.0 in N 1.858 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 1.858 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.858 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.858 * [taylor]: Taking taylor expansion of N in N 1.894 * [approximate]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) in (N) around 0 1.894 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) in N 1.894 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 2) in N 1.894 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.894 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.894 * [taylor]: Taking taylor expansion of 1.0 in N 1.894 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.894 * [taylor]: Taking taylor expansion of N in N 1.895 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 1.895 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.895 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.895 * [taylor]: Taking taylor expansion of -1 in N 1.895 * [taylor]: Taking taylor expansion of N in N 1.897 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) in N 1.897 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 2) in N 1.897 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.897 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.897 * [taylor]: Taking taylor expansion of 1.0 in N 1.897 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.897 * [taylor]: Taking taylor expansion of N in N 1.898 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 1.898 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.898 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.898 * [taylor]: Taking taylor expansion of -1 in N 1.898 * [taylor]: Taking taylor expansion of N in N 2.147 * * * [progress]: simplifying candidates 2.149 * [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 (log (+ N 1.0)) (log (+ N 1.0)) (- (* (log N) (log N)))) (fma (- (log N)) (log N) (* (log N) (log N))) (expm1 (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (log1p (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (- (* (log N) (log N))) (/ (exp (* (log (+ N 1.0)) (log (+ N 1.0)))) (exp (* (log N) (log N)))) (log (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (exp (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (* (cbrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (cbrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))))) (cbrt (- (* (log (+ N 1.0)) (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 1.0))) (* (log N) (log N)))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (sqrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (sqrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (- (pow (* (log (+ N 1.0)) (log (+ N 1.0))) 3) (pow (* (log N) (log N)) 3)) (+ (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (+ (* (* (log N) (log N)) (* (log N) (log N))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))))) (- (* (log N) (log N))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log N)))) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (* (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 (* (cbrt N) (cbrt N))))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log (sqrt N)))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log 1))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (* (cbrt N) (cbrt N))) (log N))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (sqrt N)) (log N))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log 1) (log N))) (- (* (log (+ N 1.0)) (log (cbrt (+ N 1.0)))) (* (log N) (log N))) (- (* (log (+ N 1.0)) (log (sqrt (+ 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 1.0))) (* (log N) (log N))) (- (* (log (cbrt (+ N 1.0))) (log (+ N 1.0))) (* (log N) (log N))) (- (* (log (sqrt (+ N 1.0))) (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 1.0))) (* (log N) (log N))) (- (* (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)))) (- (* 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 (pow N 2)) (+ (* 2.0 (* N (log 1.0))) (pow (log 1.0) 2))) (+ (pow (log N) 2) (/ (* (pow N 2) (log 1.0)) (pow 1.0 2)))) (- (+ (* 1.0 (/ 1 (pow N 2))) (* 1.0 (/ (log (/ 1 N)) (pow N 2)))) (+ (* 0.6666666666666666 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1.0 (/ 1 (pow N 3))) (* 2.0 (/ (log (/ 1 N)) N))))) (- (+ (* 2.0 (/ (log -1) N)) (+ (* 1.0 (/ 1 (pow N 2))) (+ (* 0.6666666666666666 (/ (log -1) (pow N 3))) (* 1.0 (/ (log (/ -1 N)) (pow N 2)))))) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 0.6666666666666666 (/ (log (/ -1 N)) (pow N 3))) (+ (* 2.0 (/ (log (/ -1 N)) N)) (* 1.0 (/ (log -1) (pow N 2))))))) 2.155 * * [simplify]: iteration 0 : 413 enodes (cost 732 ) 2.161 * * [simplify]: iteration 1 : 1350 enodes (cost 654 ) 2.183 * * [simplify]: iteration 2 : 5002 enodes (cost 627 ) 2.186 * [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))) (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))) (fma (log (+ N 1.0)) (log (+ N 1.0)) (- (pow (log N) 2))) (fma (log (/ 1 N)) (log N) (pow (log N) 2)) (expm1 (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (log1p (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (- (pow (log N) 2)) (/ (pow (+ N 1.0) (log (+ N 1.0))) (exp (pow (log N) 2))) (log (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (/ (pow (+ N 1.0) (log (+ N 1.0))) (exp (pow (log N) 2))) (* (cbrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (cbrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))))) (cbrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (pow (fma (log (+ N 1.0)) (log (+ N 1.0)) (- (pow (log N) 2))) 3) (sqrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (sqrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (+ (- (pow (* (log N) (log N)) 3)) (pow (log (+ N 1.0)) 6)) (+ (* (log (+ N 1.0)) (+ (pow (log (+ N 1.0)) 3) (* (log (+ N 1.0)) (pow (log N) 2)))) (pow (log N) 4)) (- (pow (log N) 2)) (fma (pow (log (+ N 1.0)) 3) (log (+ N 1.0)) (* (- (pow (log N) 3)) (log N))) (fma (log (+ N 1.0)) (log (+ N 1.0)) (pow (log N) 2)) (+ (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (fma (log (/ 1 N)) (* 2 (log (cbrt N))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (sqrt N)) (log N))) (fma (log (+ N 1.0)) (log (+ N 1.0)) (* (- 0) (log N))) (fma (log (/ 1 N)) (* 2 (log (cbrt N))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (sqrt N)) (log N))) (fma (log (+ N 1.0)) (log (+ N 1.0)) (* (- 0) (log N))) (fma (log (cbrt (+ N 1.0))) (log (+ N 1.0)) (- (pow (log N) 2))) (fma (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (- (pow (log N) 2))) (fma (log (+ N 1.0)) (log (+ N 1.0)) (- (pow (log N) 2))) (fma (log (+ N 1.0)) (log (+ N 1.0)) (- (pow (log N) 2))) (fma (log (cbrt (+ N 1.0))) (log (+ N 1.0)) (- (pow (log N) 2))) (fma (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (- (pow (log N) 2))) (fma (log (+ N 1.0)) (log (+ N 1.0)) (- (pow (log N) 2))) (fma (log (+ N 1.0)) (log (+ N 1.0)) (- (pow (log N) 2))) (- (pow (log N) 2)) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (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))))) (- (/ 1.0 N) (- (/ (/ 0.5 N) 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) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) (- (- (fma 1.0 (pow N 2) (fma 2.0 (* N (log 1.0)) (pow (log 1.0) 2))) (pow (log N) 2)) (/ (* (pow N 2) (log 1.0)) (pow 1.0 2))) (- (* (/ (log (/ 1 N)) (pow N 2)) (- 1.0 (/ 0.6666666666666666 N))) (- (fma 1.0 (/ 1 (pow N 3)) (* 2.0 (/ (log (/ 1 N)) N))) (/ 1.0 (pow N 2)))) (- (- (fma 2.0 (/ (log -1) N) (fma 1.0 (/ 1 (pow N 2)) (fma 0.6666666666666666 (/ (log -1) (pow N 3)) (* 1.0 (/ (log (/ -1 N)) (pow N 2)))))) (* (/ (log (/ -1 N)) N) (+ (/ 0.6666666666666666 (pow N 2)) 2.0))) (fma 1.0 (/ (log -1) (pow N 2)) (/ 1.0 (pow N 3)))) 2.187 * * * [progress]: adding candidates to table 2.453 * [progress]: [Phase 3 of 3] Extracting. 2.453 * * [regime]: Finding splitpoints for: (# # # #) 2.454 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.454 * * * * [regimes]: Trying to branch on N from (# # # #) 2.477 * * * [regime]: Found split indices: #