3.102 * [progress]: [Phase 1 of 3] Setting up. 0.014 * * * [progress]: [1/2] Preparing points 0.356 * * * [progress]: [2/2] Setting up program. 0.377 * [progress]: [Phase 2 of 3] Improving. 0.386 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.388 * * [simplify]: iteration 0: 6 enodes 0.411 * * [simplify]: iteration 1: 13 enodes 0.422 * * [simplify]: iteration 2: 16 enodes 0.429 * * [simplify]: iteration 3: 20 enodes 0.438 * * [simplify]: iteration 4: 24 enodes 0.450 * * [simplify]: iteration 5: 29 enodes 0.498 * * [simplify]: iteration 6: 31 enodes 0.533 * * [simplify]: iteration complete: 31 enodes 0.641 * * [simplify]: Extracting #0: cost 1 inf + 0 0.641 * * [simplify]: Extracting #1: cost 9 inf + 0 0.641 * * [simplify]: Extracting #2: cost 14 inf + 0 0.645 * * [simplify]: Extracting #3: cost 10 inf + 85 0.645 * * [simplify]: Extracting #4: cost 1 inf + 942 0.646 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.649 * [simplify]: Simplified to: (/ (- (- n) f) (- f n)) 0.655 * * [progress]: iteration 1 / 4 0.655 * * * [progress]: picking best candidate 0.665 * * * * [pick]: Picked # 0.665 * * * [progress]: localizing error 0.694 * * * [progress]: generating rewritten candidates 0.695 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.793 * * * [progress]: generating series expansions 0.793 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.812 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.813 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.815 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.815 * [taylor]: Taking taylor expansion of -1 in n 0.816 * [backup-simplify]: Simplify -1 into -1 0.816 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.816 * [taylor]: Taking taylor expansion of (+ n f) in n 0.816 * [taylor]: Taking taylor expansion of n in n 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 1 into 1 0.817 * [taylor]: Taking taylor expansion of f in n 0.820 * [backup-simplify]: Simplify f into f 0.824 * [taylor]: Taking taylor expansion of (- f n) in n 0.824 * [taylor]: Taking taylor expansion of f in n 0.824 * [backup-simplify]: Simplify f into f 0.824 * [taylor]: Taking taylor expansion of n in n 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (+ 0 f) into f 0.826 * [backup-simplify]: Simplify (- 0) into 0 0.826 * [backup-simplify]: Simplify (+ f 0) into f 0.826 * [backup-simplify]: Simplify (/ f f) into 1 0.826 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.826 * [taylor]: Taking taylor expansion of -1 in f 0.826 * [backup-simplify]: Simplify -1 into -1 0.826 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.826 * [taylor]: Taking taylor expansion of (+ n f) in f 0.826 * [taylor]: Taking taylor expansion of n in f 0.826 * [backup-simplify]: Simplify n into n 0.826 * [taylor]: Taking taylor expansion of f in f 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [taylor]: Taking taylor expansion of (- f n) in f 0.826 * [taylor]: Taking taylor expansion of f in f 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [taylor]: Taking taylor expansion of n in f 0.826 * [backup-simplify]: Simplify n into n 0.826 * [backup-simplify]: Simplify (+ n 0) into n 0.826 * [backup-simplify]: Simplify (- n) into (- n) 0.826 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.827 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.827 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.827 * [taylor]: Taking taylor expansion of -1 in f 0.827 * [backup-simplify]: Simplify -1 into -1 0.827 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.827 * [taylor]: Taking taylor expansion of (+ n f) in f 0.827 * [taylor]: Taking taylor expansion of n in f 0.827 * [backup-simplify]: Simplify n into n 0.827 * [taylor]: Taking taylor expansion of f in f 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [taylor]: Taking taylor expansion of (- f n) in f 0.827 * [taylor]: Taking taylor expansion of f in f 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [taylor]: Taking taylor expansion of n in f 0.827 * [backup-simplify]: Simplify n into n 0.827 * [backup-simplify]: Simplify (+ n 0) into n 0.827 * [backup-simplify]: Simplify (- n) into (- n) 0.827 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.827 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.854 * [backup-simplify]: Simplify (* -1 -1) into 1 0.854 * [taylor]: Taking taylor expansion of 1 in n 0.854 * [backup-simplify]: Simplify 1 into 1 0.854 * [backup-simplify]: Simplify 1 into 1 0.856 * [backup-simplify]: Simplify (+ 0 1) into 1 0.857 * [backup-simplify]: Simplify (- 0) into 0 0.857 * [backup-simplify]: Simplify (+ 1 0) into 1 0.857 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.858 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.858 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.858 * [taylor]: Taking taylor expansion of 2 in n 0.858 * [backup-simplify]: Simplify 2 into 2 0.858 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.858 * [taylor]: Taking taylor expansion of n in n 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 1 into 1 0.859 * [backup-simplify]: Simplify (/ 1 1) into 1 0.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify (+ 0 0) into 0 0.862 * [backup-simplify]: Simplify (- 0) into 0 0.862 * [backup-simplify]: Simplify (+ 0 0) into 0 0.864 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.865 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.865 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.866 * [taylor]: Taking taylor expansion of 2 in n 0.866 * [backup-simplify]: Simplify 2 into 2 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.866 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.866 * [taylor]: Taking taylor expansion of n in n 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (* 1 1) into 1 0.867 * [backup-simplify]: Simplify (/ 1 1) into 1 0.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.872 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.875 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify (+ 0 0) into 0 0.876 * [backup-simplify]: Simplify (- 0) into 0 0.877 * [backup-simplify]: Simplify (+ 0 0) into 0 0.877 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 0.879 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 0.879 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.879 * [taylor]: Taking taylor expansion of 2 in n 0.879 * [backup-simplify]: Simplify 2 into 2 0.879 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.879 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.879 * [taylor]: Taking taylor expansion of n in n 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 1 into 1 0.880 * [backup-simplify]: Simplify (* 1 1) into 1 0.881 * [backup-simplify]: Simplify (* 1 1) into 1 0.881 * [backup-simplify]: Simplify (/ 1 1) into 1 0.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 1 into 1 0.893 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.893 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.893 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.893 * [taylor]: Taking taylor expansion of -1 in n 0.893 * [backup-simplify]: Simplify -1 into -1 0.893 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.893 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.893 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.893 * [taylor]: Taking taylor expansion of f in n 0.893 * [backup-simplify]: Simplify f into f 0.893 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.893 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.893 * [taylor]: Taking taylor expansion of n in n 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 1 into 1 0.894 * [backup-simplify]: Simplify (/ 1 1) into 1 0.896 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.896 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.896 * [taylor]: Taking taylor expansion of f in n 0.896 * [backup-simplify]: Simplify f into f 0.896 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.896 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.896 * [taylor]: Taking taylor expansion of n in n 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 1 into 1 0.897 * [backup-simplify]: Simplify (/ 1 1) into 1 0.898 * [backup-simplify]: Simplify (+ 0 1) into 1 0.898 * [backup-simplify]: Simplify (- 1) into -1 0.899 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.899 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.899 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.899 * [taylor]: Taking taylor expansion of -1 in f 0.899 * [backup-simplify]: Simplify -1 into -1 0.899 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.900 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.900 * [taylor]: Taking taylor expansion of f in f 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 1 into 1 0.900 * [backup-simplify]: Simplify (/ 1 1) into 1 0.900 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.900 * [taylor]: Taking taylor expansion of n in f 0.900 * [backup-simplify]: Simplify n into n 0.900 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.900 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.900 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.900 * [taylor]: Taking taylor expansion of f in f 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 1 into 1 0.901 * [backup-simplify]: Simplify (/ 1 1) into 1 0.901 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.901 * [taylor]: Taking taylor expansion of n in f 0.901 * [backup-simplify]: Simplify n into n 0.901 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.902 * [backup-simplify]: Simplify (+ 1 0) into 1 0.902 * [backup-simplify]: Simplify (+ 1 0) into 1 0.903 * [backup-simplify]: Simplify (/ 1 1) into 1 0.903 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.903 * [taylor]: Taking taylor expansion of -1 in f 0.903 * [backup-simplify]: Simplify -1 into -1 0.903 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.903 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.903 * [taylor]: Taking taylor expansion of f in f 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (/ 1 1) into 1 0.904 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.904 * [taylor]: Taking taylor expansion of n in f 0.904 * [backup-simplify]: Simplify n into n 0.904 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.904 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.904 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.904 * [taylor]: Taking taylor expansion of f in f 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (/ 1 1) into 1 0.904 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.904 * [taylor]: Taking taylor expansion of n in f 0.904 * [backup-simplify]: Simplify n into n 0.904 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.905 * [backup-simplify]: Simplify (+ 1 0) into 1 0.905 * [backup-simplify]: Simplify (+ 1 0) into 1 0.906 * [backup-simplify]: Simplify (/ 1 1) into 1 0.906 * [backup-simplify]: Simplify (* -1 1) into -1 0.906 * [taylor]: Taking taylor expansion of -1 in n 0.906 * [backup-simplify]: Simplify -1 into -1 0.906 * [backup-simplify]: Simplify -1 into -1 0.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.909 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.909 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.910 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.910 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.910 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.910 * [taylor]: Taking taylor expansion of 2 in n 0.910 * [backup-simplify]: Simplify 2 into 2 0.910 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.910 * [taylor]: Taking taylor expansion of n in n 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 1 into 1 0.911 * [backup-simplify]: Simplify (/ 1 1) into 1 0.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.913 * [backup-simplify]: Simplify (- 0) into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.915 * [backup-simplify]: Simplify (+ 0 0) into 0 0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.917 * [backup-simplify]: Simplify (- 0) into 0 0.917 * [backup-simplify]: Simplify (+ 0 0) into 0 0.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.920 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.920 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.920 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.921 * [taylor]: Taking taylor expansion of 2 in n 0.921 * [backup-simplify]: Simplify 2 into 2 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.921 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.921 * [taylor]: Taking taylor expansion of n in n 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.922 * [backup-simplify]: Simplify (* 1 1) into 1 0.922 * [backup-simplify]: Simplify (/ 1 1) into 1 0.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.927 * [backup-simplify]: Simplify (- 0) into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.929 * [backup-simplify]: Simplify (- 0) into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.931 * [backup-simplify]: Simplify (+ 0 0) into 0 0.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.933 * [backup-simplify]: Simplify (- 0) into 0 0.933 * [backup-simplify]: Simplify (+ 0 0) into 0 0.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 0.936 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.936 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.936 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.936 * [taylor]: Taking taylor expansion of 2 in n 0.936 * [backup-simplify]: Simplify 2 into 2 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.936 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.936 * [taylor]: Taking taylor expansion of n in n 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 1 into 1 0.936 * [backup-simplify]: Simplify (* 1 1) into 1 0.937 * [backup-simplify]: Simplify (* 1 1) into 1 0.937 * [backup-simplify]: Simplify (/ 1 1) into 1 0.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.947 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.947 * [backup-simplify]: Simplify (- 0) into 0 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify -1 into -1 0.948 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.948 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.948 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.948 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.948 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.948 * [taylor]: Taking taylor expansion of f in n 0.948 * [backup-simplify]: Simplify f into f 0.948 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.948 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.948 * [taylor]: Taking taylor expansion of n in n 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (/ 1 1) into 1 0.949 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.949 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.949 * [taylor]: Taking taylor expansion of n in n 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (/ 1 1) into 1 0.949 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.950 * [taylor]: Taking taylor expansion of f in n 0.950 * [backup-simplify]: Simplify f into f 0.950 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.950 * [backup-simplify]: Simplify (+ 0 1) into 1 0.951 * [backup-simplify]: Simplify (+ 1 0) into 1 0.951 * [backup-simplify]: Simplify (/ 1 1) into 1 0.951 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.951 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.951 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.951 * [taylor]: Taking taylor expansion of f in f 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 1 into 1 0.952 * [backup-simplify]: Simplify (/ 1 1) into 1 0.952 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.952 * [taylor]: Taking taylor expansion of n in f 0.952 * [backup-simplify]: Simplify n into n 0.952 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.952 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.952 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.952 * [taylor]: Taking taylor expansion of n in f 0.952 * [backup-simplify]: Simplify n into n 0.952 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.952 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.952 * [taylor]: Taking taylor expansion of f in f 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify 1 into 1 0.953 * [backup-simplify]: Simplify (/ 1 1) into 1 0.953 * [backup-simplify]: Simplify (+ 1 0) into 1 0.953 * [backup-simplify]: Simplify (- 1) into -1 0.954 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.954 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.954 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.955 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.955 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.955 * [taylor]: Taking taylor expansion of f in f 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify 1 into 1 0.955 * [backup-simplify]: Simplify (/ 1 1) into 1 0.955 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.955 * [taylor]: Taking taylor expansion of n in f 0.955 * [backup-simplify]: Simplify n into n 0.955 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.955 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.955 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.955 * [taylor]: Taking taylor expansion of n in f 0.955 * [backup-simplify]: Simplify n into n 0.955 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.955 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.955 * [taylor]: Taking taylor expansion of f in f 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify 1 into 1 0.956 * [backup-simplify]: Simplify (/ 1 1) into 1 0.956 * [backup-simplify]: Simplify (+ 1 0) into 1 0.957 * [backup-simplify]: Simplify (- 1) into -1 0.957 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.958 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.958 * [taylor]: Taking taylor expansion of -1 in n 0.958 * [backup-simplify]: Simplify -1 into -1 0.958 * [backup-simplify]: Simplify -1 into -1 0.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.959 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify (- 0) into 0 0.960 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.961 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.961 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.961 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.961 * [taylor]: Taking taylor expansion of 2 in n 0.961 * [backup-simplify]: Simplify 2 into 2 0.961 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.961 * [taylor]: Taking taylor expansion of n in n 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 1 into 1 0.961 * [backup-simplify]: Simplify (/ 1 1) into 1 0.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.963 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.963 * [backup-simplify]: Simplify (- 0) into 0 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.964 * [backup-simplify]: Simplify (+ 0 0) into 0 0.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.966 * [backup-simplify]: Simplify (- 0) into 0 0.966 * [backup-simplify]: Simplify (+ 0 0) into 0 0.967 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.968 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.968 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.968 * [taylor]: Taking taylor expansion of 2 in n 0.968 * [backup-simplify]: Simplify 2 into 2 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.968 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.968 * [taylor]: Taking taylor expansion of n in n 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.970 * [backup-simplify]: Simplify (* 1 1) into 1 0.970 * [backup-simplify]: Simplify (/ 1 1) into 1 0.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.975 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.976 * [backup-simplify]: Simplify (- 0) into 0 0.976 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.979 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.979 * [backup-simplify]: Simplify (- 0) into 0 0.979 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.982 * [backup-simplify]: Simplify (+ 0 0) into 0 0.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.984 * [backup-simplify]: Simplify (- 0) into 0 0.984 * [backup-simplify]: Simplify (+ 0 0) into 0 0.987 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.987 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.988 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.988 * [taylor]: Taking taylor expansion of 2 in n 0.988 * [backup-simplify]: Simplify 2 into 2 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.988 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.988 * [taylor]: Taking taylor expansion of n in n 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 1 into 1 0.989 * [backup-simplify]: Simplify (* 1 1) into 1 0.989 * [backup-simplify]: Simplify (* 1 1) into 1 0.990 * [backup-simplify]: Simplify (/ 1 1) into 1 0.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.002 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.003 * [backup-simplify]: Simplify (- 0) into 0 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify -1 into -1 1.005 * * * [progress]: simplifying candidates 1.010 * [simplify]: Simplifying: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 1.014 * * [simplify]: iteration 0: 135 enodes 1.120 * * [simplify]: iteration 1: 316 enodes 1.300 * * [simplify]: iteration 2: 711 enodes 1.915 * * [simplify]: iteration 3: 2299 enodes 4.180 * * [simplify]: iteration complete: 5001 enodes 4.180 * * [simplify]: Extracting #0: cost 88 inf + 0 4.183 * * [simplify]: Extracting #1: cost 496 inf + 3 4.229 * * [simplify]: Extracting #2: cost 860 inf + 8929 4.274 * * [simplify]: Extracting #3: cost 716 inf + 92722 4.366 * * [simplify]: Extracting #4: cost 241 inf + 202266 4.521 * * [simplify]: Extracting #5: cost 63 inf + 241098 4.632 * * [simplify]: Extracting #6: cost 8 inf + 250782 4.741 * * [simplify]: Extracting #7: cost 0 inf + 252805 4.847 * [simplify]: Simplified to: (expm1 (- (/ (+ f n) (- f n)))) (log1p (- (/ (+ f n) (- f n)))) (log (- (/ (+ f n) (- f n)))) (log (- (/ (+ f n) (- f n)))) (exp (- (/ (+ f n) (- f n)))) (* (* (- (/ (+ f n) (- f n))) (/ (+ f n) (- f n))) (/ (+ f n) (- f n))) (* (cbrt (- (/ (+ f n) (- f n)))) (cbrt (- (/ (+ f n) (- f n))))) (cbrt (- (/ (+ f n) (- f n)))) (* (* (- (/ (+ f n) (- f n))) (/ (+ f n) (- f n))) (/ (+ f n) (- f n))) (sqrt (- (/ (+ f n) (- f n)))) (sqrt (- (/ (+ f n) (- f n)))) (+ f n) (+ (- f) n) 0 (/ (+ f n) (- f n)) (* (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (cbrt (- (+ f n))) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (* (/ (cbrt (- (+ f n))) (sqrt (- f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (cbrt (- (+ f n))) (/ (+ (sqrt f) (sqrt n)) (cbrt (- (+ f n))))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (/ (sqrt (- (+ f n))) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ f n) (sqrt (- f n)))) 1 (- (/ (+ f n) (- f n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ f n) (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (- (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (/ (sqrt (- f n)) (- (cbrt (+ f n))))) (/ (cbrt (+ f n)) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (/ (sqrt (+ f n)) (cbrt (- f n)))) (cbrt (- f n))) (/ (sqrt (+ f n)) (cbrt (- f n))) (- (/ (sqrt (+ f n)) (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (- (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (- (/ (sqrt (+ f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (/ (sqrt (+ f n)) (sqrt (- f n)))) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ f n) (sqrt (- f n)))) 1 (- (/ (+ f n) (- f n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ f n) (sqrt (- f n)))) 1 (- (/ (+ f n) (- f n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (sqrt (- f n)))) (- (+ f n)) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (* f (* f f)) (* n (* n n)))) (- (/ 1 (- f n))) (* (fma (- n f) n (* f f)) (- f n)) (* (- f n) (- f n)) 1 -1 -1 4.858 * * * [progress]: adding candidates to table 5.407 * * [progress]: iteration 2 / 4 5.408 * * * [progress]: picking best candidate 5.443 * * * * [pick]: Picked # 5.443 * * * [progress]: localizing error 5.495 * * * [progress]: generating rewritten candidates 5.496 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 5.564 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 5.643 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 5.716 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 5.784 * * * [progress]: generating series expansions 5.784 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 5.784 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 5.785 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 5.785 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 5.785 * [taylor]: Taking taylor expansion of -1 in n 5.785 * [backup-simplify]: Simplify -1 into -1 5.785 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 5.785 * [taylor]: Taking taylor expansion of (+ n f) in n 5.785 * [taylor]: Taking taylor expansion of n in n 5.785 * [backup-simplify]: Simplify 0 into 0 5.785 * [backup-simplify]: Simplify 1 into 1 5.785 * [taylor]: Taking taylor expansion of f in n 5.785 * [backup-simplify]: Simplify f into f 5.785 * [taylor]: Taking taylor expansion of (- f n) in n 5.785 * [taylor]: Taking taylor expansion of f in n 5.785 * [backup-simplify]: Simplify f into f 5.785 * [taylor]: Taking taylor expansion of n in n 5.785 * [backup-simplify]: Simplify 0 into 0 5.785 * [backup-simplify]: Simplify 1 into 1 5.785 * [backup-simplify]: Simplify (+ 0 f) into f 5.786 * [backup-simplify]: Simplify (- 0) into 0 5.786 * [backup-simplify]: Simplify (+ f 0) into f 5.786 * [backup-simplify]: Simplify (/ f f) into 1 5.786 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.786 * [taylor]: Taking taylor expansion of -1 in f 5.786 * [backup-simplify]: Simplify -1 into -1 5.786 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.786 * [taylor]: Taking taylor expansion of (+ n f) in f 5.786 * [taylor]: Taking taylor expansion of n in f 5.786 * [backup-simplify]: Simplify n into n 5.786 * [taylor]: Taking taylor expansion of f in f 5.786 * [backup-simplify]: Simplify 0 into 0 5.786 * [backup-simplify]: Simplify 1 into 1 5.786 * [taylor]: Taking taylor expansion of (- f n) in f 5.786 * [taylor]: Taking taylor expansion of f in f 5.786 * [backup-simplify]: Simplify 0 into 0 5.786 * [backup-simplify]: Simplify 1 into 1 5.786 * [taylor]: Taking taylor expansion of n in f 5.786 * [backup-simplify]: Simplify n into n 5.786 * [backup-simplify]: Simplify (+ n 0) into n 5.786 * [backup-simplify]: Simplify (- n) into (- n) 5.786 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.787 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.787 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.787 * [taylor]: Taking taylor expansion of -1 in f 5.787 * [backup-simplify]: Simplify -1 into -1 5.787 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.787 * [taylor]: Taking taylor expansion of (+ n f) in f 5.787 * [taylor]: Taking taylor expansion of n in f 5.787 * [backup-simplify]: Simplify n into n 5.787 * [taylor]: Taking taylor expansion of f in f 5.787 * [backup-simplify]: Simplify 0 into 0 5.787 * [backup-simplify]: Simplify 1 into 1 5.787 * [taylor]: Taking taylor expansion of (- f n) in f 5.787 * [taylor]: Taking taylor expansion of f in f 5.787 * [backup-simplify]: Simplify 0 into 0 5.787 * [backup-simplify]: Simplify 1 into 1 5.787 * [taylor]: Taking taylor expansion of n in f 5.787 * [backup-simplify]: Simplify n into n 5.787 * [backup-simplify]: Simplify (+ n 0) into n 5.787 * [backup-simplify]: Simplify (- n) into (- n) 5.787 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.787 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.788 * [backup-simplify]: Simplify (* -1 -1) into 1 5.788 * [taylor]: Taking taylor expansion of 1 in n 5.788 * [backup-simplify]: Simplify 1 into 1 5.788 * [backup-simplify]: Simplify 1 into 1 5.789 * [backup-simplify]: Simplify (+ 0 1) into 1 5.789 * [backup-simplify]: Simplify (- 0) into 0 5.790 * [backup-simplify]: Simplify (+ 1 0) into 1 5.790 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.791 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 5.791 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.791 * [taylor]: Taking taylor expansion of 2 in n 5.791 * [backup-simplify]: Simplify 2 into 2 5.791 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.791 * [taylor]: Taking taylor expansion of n in n 5.791 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify 1 into 1 5.791 * [backup-simplify]: Simplify (/ 1 1) into 1 5.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.793 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.793 * [backup-simplify]: Simplify 0 into 0 5.793 * [backup-simplify]: Simplify 0 into 0 5.793 * [backup-simplify]: Simplify (+ 0 0) into 0 5.794 * [backup-simplify]: Simplify (- 0) into 0 5.794 * [backup-simplify]: Simplify (+ 0 0) into 0 5.795 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 5.796 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.796 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.796 * [taylor]: Taking taylor expansion of 2 in n 5.796 * [backup-simplify]: Simplify 2 into 2 5.796 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.796 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.796 * [taylor]: Taking taylor expansion of n in n 5.796 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify 1 into 1 5.797 * [backup-simplify]: Simplify (* 1 1) into 1 5.797 * [backup-simplify]: Simplify (/ 1 1) into 1 5.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.802 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.802 * [backup-simplify]: Simplify 0 into 0 5.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.805 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.805 * [backup-simplify]: Simplify 0 into 0 5.805 * [backup-simplify]: Simplify 0 into 0 5.806 * [backup-simplify]: Simplify (+ 0 0) into 0 5.806 * [backup-simplify]: Simplify (- 0) into 0 5.807 * [backup-simplify]: Simplify (+ 0 0) into 0 5.808 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 5.809 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 5.809 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.809 * [taylor]: Taking taylor expansion of 2 in n 5.809 * [backup-simplify]: Simplify 2 into 2 5.809 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.809 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.809 * [taylor]: Taking taylor expansion of n in n 5.809 * [backup-simplify]: Simplify 0 into 0 5.809 * [backup-simplify]: Simplify 1 into 1 5.810 * [backup-simplify]: Simplify (* 1 1) into 1 5.810 * [backup-simplify]: Simplify (* 1 1) into 1 5.811 * [backup-simplify]: Simplify (/ 1 1) into 1 5.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.821 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 1 into 1 5.822 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 5.822 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 5.822 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 5.822 * [taylor]: Taking taylor expansion of -1 in n 5.822 * [backup-simplify]: Simplify -1 into -1 5.822 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 5.822 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.822 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.822 * [taylor]: Taking taylor expansion of f in n 5.822 * [backup-simplify]: Simplify f into f 5.822 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.822 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.822 * [taylor]: Taking taylor expansion of n in n 5.822 * [backup-simplify]: Simplify 0 into 0 5.822 * [backup-simplify]: Simplify 1 into 1 5.823 * [backup-simplify]: Simplify (/ 1 1) into 1 5.823 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.823 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.823 * [taylor]: Taking taylor expansion of f in n 5.823 * [backup-simplify]: Simplify f into f 5.823 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.823 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.823 * [taylor]: Taking taylor expansion of n in n 5.823 * [backup-simplify]: Simplify 0 into 0 5.823 * [backup-simplify]: Simplify 1 into 1 5.824 * [backup-simplify]: Simplify (/ 1 1) into 1 5.824 * [backup-simplify]: Simplify (+ 0 1) into 1 5.825 * [backup-simplify]: Simplify (- 1) into -1 5.825 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.826 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.826 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.826 * [taylor]: Taking taylor expansion of -1 in f 5.826 * [backup-simplify]: Simplify -1 into -1 5.826 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.826 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.826 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.826 * [taylor]: Taking taylor expansion of f in f 5.826 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify 1 into 1 5.827 * [backup-simplify]: Simplify (/ 1 1) into 1 5.827 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.827 * [taylor]: Taking taylor expansion of n in f 5.827 * [backup-simplify]: Simplify n into n 5.827 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.827 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.827 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.827 * [taylor]: Taking taylor expansion of f in f 5.827 * [backup-simplify]: Simplify 0 into 0 5.827 * [backup-simplify]: Simplify 1 into 1 5.827 * [backup-simplify]: Simplify (/ 1 1) into 1 5.828 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.828 * [taylor]: Taking taylor expansion of n in f 5.828 * [backup-simplify]: Simplify n into n 5.828 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.828 * [backup-simplify]: Simplify (+ 1 0) into 1 5.829 * [backup-simplify]: Simplify (+ 1 0) into 1 5.829 * [backup-simplify]: Simplify (/ 1 1) into 1 5.829 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.829 * [taylor]: Taking taylor expansion of -1 in f 5.829 * [backup-simplify]: Simplify -1 into -1 5.829 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.829 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.829 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.829 * [taylor]: Taking taylor expansion of f in f 5.829 * [backup-simplify]: Simplify 0 into 0 5.829 * [backup-simplify]: Simplify 1 into 1 5.830 * [backup-simplify]: Simplify (/ 1 1) into 1 5.830 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.830 * [taylor]: Taking taylor expansion of n in f 5.830 * [backup-simplify]: Simplify n into n 5.830 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.830 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.830 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.830 * [taylor]: Taking taylor expansion of f in f 5.830 * [backup-simplify]: Simplify 0 into 0 5.830 * [backup-simplify]: Simplify 1 into 1 5.831 * [backup-simplify]: Simplify (/ 1 1) into 1 5.831 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.831 * [taylor]: Taking taylor expansion of n in f 5.831 * [backup-simplify]: Simplify n into n 5.831 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.831 * [backup-simplify]: Simplify (+ 1 0) into 1 5.832 * [backup-simplify]: Simplify (+ 1 0) into 1 5.832 * [backup-simplify]: Simplify (/ 1 1) into 1 5.833 * [backup-simplify]: Simplify (* -1 1) into -1 5.833 * [taylor]: Taking taylor expansion of -1 in n 5.833 * [backup-simplify]: Simplify -1 into -1 5.833 * [backup-simplify]: Simplify -1 into -1 5.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.834 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.835 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.835 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.836 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.836 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 5.836 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.836 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.836 * [taylor]: Taking taylor expansion of 2 in n 5.836 * [backup-simplify]: Simplify 2 into 2 5.837 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.837 * [taylor]: Taking taylor expansion of n in n 5.837 * [backup-simplify]: Simplify 0 into 0 5.837 * [backup-simplify]: Simplify 1 into 1 5.837 * [backup-simplify]: Simplify (/ 1 1) into 1 5.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.839 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.839 * [backup-simplify]: Simplify (- 0) into 0 5.839 * [backup-simplify]: Simplify 0 into 0 5.839 * [backup-simplify]: Simplify 0 into 0 5.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.841 * [backup-simplify]: Simplify (+ 0 0) into 0 5.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.843 * [backup-simplify]: Simplify (- 0) into 0 5.843 * [backup-simplify]: Simplify (+ 0 0) into 0 5.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 5.845 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 5.846 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.846 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.846 * [taylor]: Taking taylor expansion of 2 in n 5.846 * [backup-simplify]: Simplify 2 into 2 5.846 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.846 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.846 * [taylor]: Taking taylor expansion of n in n 5.846 * [backup-simplify]: Simplify 0 into 0 5.846 * [backup-simplify]: Simplify 1 into 1 5.846 * [backup-simplify]: Simplify (* 1 1) into 1 5.847 * [backup-simplify]: Simplify (/ 1 1) into 1 5.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.851 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.852 * [backup-simplify]: Simplify (- 0) into 0 5.852 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.864 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.865 * [backup-simplify]: Simplify (- 0) into 0 5.865 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify 0 into 0 5.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.867 * [backup-simplify]: Simplify (+ 0 0) into 0 5.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.869 * [backup-simplify]: Simplify (- 0) into 0 5.869 * [backup-simplify]: Simplify (+ 0 0) into 0 5.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 5.873 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.873 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.873 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.873 * [taylor]: Taking taylor expansion of 2 in n 5.873 * [backup-simplify]: Simplify 2 into 2 5.873 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.873 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.873 * [taylor]: Taking taylor expansion of n in n 5.873 * [backup-simplify]: Simplify 0 into 0 5.873 * [backup-simplify]: Simplify 1 into 1 5.883 * [backup-simplify]: Simplify (* 1 1) into 1 5.884 * [backup-simplify]: Simplify (* 1 1) into 1 5.884 * [backup-simplify]: Simplify (/ 1 1) into 1 5.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.894 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.895 * [backup-simplify]: Simplify (- 0) into 0 5.895 * [backup-simplify]: Simplify 0 into 0 5.895 * [backup-simplify]: Simplify -1 into -1 5.895 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 5.895 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 5.895 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.895 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.895 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.895 * [taylor]: Taking taylor expansion of f in n 5.895 * [backup-simplify]: Simplify f into f 5.895 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.895 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.895 * [taylor]: Taking taylor expansion of n in n 5.895 * [backup-simplify]: Simplify 0 into 0 5.896 * [backup-simplify]: Simplify 1 into 1 5.896 * [backup-simplify]: Simplify (/ 1 1) into 1 5.896 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.896 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.896 * [taylor]: Taking taylor expansion of n in n 5.896 * [backup-simplify]: Simplify 0 into 0 5.896 * [backup-simplify]: Simplify 1 into 1 5.897 * [backup-simplify]: Simplify (/ 1 1) into 1 5.897 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.897 * [taylor]: Taking taylor expansion of f in n 5.897 * [backup-simplify]: Simplify f into f 5.897 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.897 * [backup-simplify]: Simplify (+ 0 1) into 1 5.898 * [backup-simplify]: Simplify (+ 1 0) into 1 5.898 * [backup-simplify]: Simplify (/ 1 1) into 1 5.898 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.898 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.898 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.899 * [taylor]: Taking taylor expansion of f in f 5.899 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify 1 into 1 5.899 * [backup-simplify]: Simplify (/ 1 1) into 1 5.899 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.899 * [taylor]: Taking taylor expansion of n in f 5.899 * [backup-simplify]: Simplify n into n 5.899 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.899 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.899 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.899 * [taylor]: Taking taylor expansion of n in f 5.899 * [backup-simplify]: Simplify n into n 5.899 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.899 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.899 * [taylor]: Taking taylor expansion of f in f 5.899 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify 1 into 1 5.900 * [backup-simplify]: Simplify (/ 1 1) into 1 5.900 * [backup-simplify]: Simplify (+ 1 0) into 1 5.901 * [backup-simplify]: Simplify (- 1) into -1 5.901 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.901 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.902 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.902 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.902 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.902 * [taylor]: Taking taylor expansion of f in f 5.902 * [backup-simplify]: Simplify 0 into 0 5.902 * [backup-simplify]: Simplify 1 into 1 5.902 * [backup-simplify]: Simplify (/ 1 1) into 1 5.902 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.902 * [taylor]: Taking taylor expansion of n in f 5.903 * [backup-simplify]: Simplify n into n 5.903 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.903 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.903 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.903 * [taylor]: Taking taylor expansion of n in f 5.903 * [backup-simplify]: Simplify n into n 5.903 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.903 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.903 * [taylor]: Taking taylor expansion of f in f 5.903 * [backup-simplify]: Simplify 0 into 0 5.903 * [backup-simplify]: Simplify 1 into 1 5.903 * [backup-simplify]: Simplify (/ 1 1) into 1 5.904 * [backup-simplify]: Simplify (+ 1 0) into 1 5.904 * [backup-simplify]: Simplify (- 1) into -1 5.905 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.905 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.905 * [taylor]: Taking taylor expansion of -1 in n 5.905 * [backup-simplify]: Simplify -1 into -1 5.905 * [backup-simplify]: Simplify -1 into -1 5.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.906 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.908 * [backup-simplify]: Simplify (- 0) into 0 5.908 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.908 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.908 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.908 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.908 * [taylor]: Taking taylor expansion of 2 in n 5.908 * [backup-simplify]: Simplify 2 into 2 5.908 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.908 * [taylor]: Taking taylor expansion of n in n 5.908 * [backup-simplify]: Simplify 0 into 0 5.908 * [backup-simplify]: Simplify 1 into 1 5.909 * [backup-simplify]: Simplify (/ 1 1) into 1 5.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.910 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.911 * [backup-simplify]: Simplify (- 0) into 0 5.911 * [backup-simplify]: Simplify 0 into 0 5.911 * [backup-simplify]: Simplify 0 into 0 5.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.913 * [backup-simplify]: Simplify (+ 0 0) into 0 5.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.915 * [backup-simplify]: Simplify (- 0) into 0 5.915 * [backup-simplify]: Simplify (+ 0 0) into 0 5.917 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.918 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.918 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.918 * [taylor]: Taking taylor expansion of 2 in n 5.918 * [backup-simplify]: Simplify 2 into 2 5.918 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.918 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.918 * [taylor]: Taking taylor expansion of n in n 5.918 * [backup-simplify]: Simplify 0 into 0 5.918 * [backup-simplify]: Simplify 1 into 1 5.918 * [backup-simplify]: Simplify (* 1 1) into 1 5.919 * [backup-simplify]: Simplify (/ 1 1) into 1 5.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.925 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.925 * [backup-simplify]: Simplify (- 0) into 0 5.925 * [backup-simplify]: Simplify 0 into 0 5.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.927 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.928 * [backup-simplify]: Simplify (- 0) into 0 5.928 * [backup-simplify]: Simplify 0 into 0 5.928 * [backup-simplify]: Simplify 0 into 0 5.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.930 * [backup-simplify]: Simplify (+ 0 0) into 0 5.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.932 * [backup-simplify]: Simplify (- 0) into 0 5.932 * [backup-simplify]: Simplify (+ 0 0) into 0 5.934 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.934 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.934 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.934 * [taylor]: Taking taylor expansion of 2 in n 5.935 * [backup-simplify]: Simplify 2 into 2 5.935 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.935 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.935 * [taylor]: Taking taylor expansion of n in n 5.935 * [backup-simplify]: Simplify 0 into 0 5.935 * [backup-simplify]: Simplify 1 into 1 5.935 * [backup-simplify]: Simplify (* 1 1) into 1 5.936 * [backup-simplify]: Simplify (* 1 1) into 1 5.936 * [backup-simplify]: Simplify (/ 1 1) into 1 5.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.947 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.948 * [backup-simplify]: Simplify (- 0) into 0 5.948 * [backup-simplify]: Simplify 0 into 0 5.948 * [backup-simplify]: Simplify -1 into -1 5.948 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 5.948 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 5.948 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 5.948 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 5.948 * [taylor]: Taking taylor expansion of -1 in n 5.948 * [backup-simplify]: Simplify -1 into -1 5.948 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 5.948 * [taylor]: Taking taylor expansion of (+ n f) in n 5.948 * [taylor]: Taking taylor expansion of n in n 5.949 * [backup-simplify]: Simplify 0 into 0 5.949 * [backup-simplify]: Simplify 1 into 1 5.949 * [taylor]: Taking taylor expansion of f in n 5.949 * [backup-simplify]: Simplify f into f 5.949 * [taylor]: Taking taylor expansion of (- f n) in n 5.949 * [taylor]: Taking taylor expansion of f in n 5.949 * [backup-simplify]: Simplify f into f 5.949 * [taylor]: Taking taylor expansion of n in n 5.949 * [backup-simplify]: Simplify 0 into 0 5.949 * [backup-simplify]: Simplify 1 into 1 5.949 * [backup-simplify]: Simplify (+ 0 f) into f 5.949 * [backup-simplify]: Simplify (- 0) into 0 5.950 * [backup-simplify]: Simplify (+ f 0) into f 5.950 * [backup-simplify]: Simplify (/ f f) into 1 5.950 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.950 * [taylor]: Taking taylor expansion of -1 in f 5.950 * [backup-simplify]: Simplify -1 into -1 5.950 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.950 * [taylor]: Taking taylor expansion of (+ n f) in f 5.950 * [taylor]: Taking taylor expansion of n in f 5.950 * [backup-simplify]: Simplify n into n 5.950 * [taylor]: Taking taylor expansion of f in f 5.950 * [backup-simplify]: Simplify 0 into 0 5.950 * [backup-simplify]: Simplify 1 into 1 5.950 * [taylor]: Taking taylor expansion of (- f n) in f 5.950 * [taylor]: Taking taylor expansion of f in f 5.950 * [backup-simplify]: Simplify 0 into 0 5.950 * [backup-simplify]: Simplify 1 into 1 5.950 * [taylor]: Taking taylor expansion of n in f 5.950 * [backup-simplify]: Simplify n into n 5.950 * [backup-simplify]: Simplify (+ n 0) into n 5.950 * [backup-simplify]: Simplify (- n) into (- n) 5.950 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.950 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.950 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.951 * [taylor]: Taking taylor expansion of -1 in f 5.951 * [backup-simplify]: Simplify -1 into -1 5.951 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.951 * [taylor]: Taking taylor expansion of (+ n f) in f 5.951 * [taylor]: Taking taylor expansion of n in f 5.951 * [backup-simplify]: Simplify n into n 5.951 * [taylor]: Taking taylor expansion of f in f 5.951 * [backup-simplify]: Simplify 0 into 0 5.951 * [backup-simplify]: Simplify 1 into 1 5.951 * [taylor]: Taking taylor expansion of (- f n) in f 5.951 * [taylor]: Taking taylor expansion of f in f 5.951 * [backup-simplify]: Simplify 0 into 0 5.951 * [backup-simplify]: Simplify 1 into 1 5.951 * [taylor]: Taking taylor expansion of n in f 5.951 * [backup-simplify]: Simplify n into n 5.951 * [backup-simplify]: Simplify (+ n 0) into n 5.951 * [backup-simplify]: Simplify (- n) into (- n) 5.951 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.951 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.952 * [backup-simplify]: Simplify (* -1 -1) into 1 5.952 * [taylor]: Taking taylor expansion of 1 in n 5.952 * [backup-simplify]: Simplify 1 into 1 5.952 * [backup-simplify]: Simplify 1 into 1 5.953 * [backup-simplify]: Simplify (+ 0 1) into 1 5.953 * [backup-simplify]: Simplify (- 0) into 0 5.954 * [backup-simplify]: Simplify (+ 1 0) into 1 5.954 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.955 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 5.955 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.955 * [taylor]: Taking taylor expansion of 2 in n 5.955 * [backup-simplify]: Simplify 2 into 2 5.955 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.955 * [taylor]: Taking taylor expansion of n in n 5.955 * [backup-simplify]: Simplify 0 into 0 5.955 * [backup-simplify]: Simplify 1 into 1 5.956 * [backup-simplify]: Simplify (/ 1 1) into 1 5.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.957 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.958 * [backup-simplify]: Simplify 0 into 0 5.958 * [backup-simplify]: Simplify 0 into 0 5.958 * [backup-simplify]: Simplify (+ 0 0) into 0 5.959 * [backup-simplify]: Simplify (- 0) into 0 5.959 * [backup-simplify]: Simplify (+ 0 0) into 0 5.959 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 5.960 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.961 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.961 * [taylor]: Taking taylor expansion of 2 in n 5.961 * [backup-simplify]: Simplify 2 into 2 5.961 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.961 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.961 * [taylor]: Taking taylor expansion of n in n 5.961 * [backup-simplify]: Simplify 0 into 0 5.961 * [backup-simplify]: Simplify 1 into 1 5.961 * [backup-simplify]: Simplify (* 1 1) into 1 5.962 * [backup-simplify]: Simplify (/ 1 1) into 1 5.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.966 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.966 * [backup-simplify]: Simplify 0 into 0 5.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.969 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.969 * [backup-simplify]: Simplify 0 into 0 5.969 * [backup-simplify]: Simplify 0 into 0 5.969 * [backup-simplify]: Simplify (+ 0 0) into 0 5.970 * [backup-simplify]: Simplify (- 0) into 0 5.970 * [backup-simplify]: Simplify (+ 0 0) into 0 5.972 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 5.973 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 5.973 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.973 * [taylor]: Taking taylor expansion of 2 in n 5.973 * [backup-simplify]: Simplify 2 into 2 5.973 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.973 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.973 * [taylor]: Taking taylor expansion of n in n 5.973 * [backup-simplify]: Simplify 0 into 0 5.973 * [backup-simplify]: Simplify 1 into 1 5.974 * [backup-simplify]: Simplify (* 1 1) into 1 5.974 * [backup-simplify]: Simplify (* 1 1) into 1 5.975 * [backup-simplify]: Simplify (/ 1 1) into 1 5.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.985 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.985 * [backup-simplify]: Simplify 0 into 0 5.985 * [backup-simplify]: Simplify 1 into 1 5.985 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 5.985 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 5.985 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 5.985 * [taylor]: Taking taylor expansion of -1 in n 5.985 * [backup-simplify]: Simplify -1 into -1 5.985 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 5.985 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.985 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.985 * [taylor]: Taking taylor expansion of f in n 5.986 * [backup-simplify]: Simplify f into f 5.986 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.986 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.986 * [taylor]: Taking taylor expansion of n in n 5.986 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify 1 into 1 5.986 * [backup-simplify]: Simplify (/ 1 1) into 1 5.986 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.986 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.986 * [taylor]: Taking taylor expansion of f in n 5.986 * [backup-simplify]: Simplify f into f 5.986 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.986 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.987 * [taylor]: Taking taylor expansion of n in n 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify 1 into 1 5.987 * [backup-simplify]: Simplify (/ 1 1) into 1 5.987 * [backup-simplify]: Simplify (+ 0 1) into 1 5.988 * [backup-simplify]: Simplify (- 1) into -1 5.988 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.989 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.989 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.989 * [taylor]: Taking taylor expansion of -1 in f 5.989 * [backup-simplify]: Simplify -1 into -1 5.989 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.989 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.989 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.989 * [taylor]: Taking taylor expansion of f in f 5.989 * [backup-simplify]: Simplify 0 into 0 5.989 * [backup-simplify]: Simplify 1 into 1 5.989 * [backup-simplify]: Simplify (/ 1 1) into 1 5.989 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.989 * [taylor]: Taking taylor expansion of n in f 5.989 * [backup-simplify]: Simplify n into n 5.989 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.990 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.990 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.990 * [taylor]: Taking taylor expansion of f in f 5.990 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify 1 into 1 5.990 * [backup-simplify]: Simplify (/ 1 1) into 1 5.990 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.990 * [taylor]: Taking taylor expansion of n in f 5.990 * [backup-simplify]: Simplify n into n 5.990 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.991 * [backup-simplify]: Simplify (+ 1 0) into 1 5.991 * [backup-simplify]: Simplify (+ 1 0) into 1 5.991 * [backup-simplify]: Simplify (/ 1 1) into 1 5.991 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.991 * [taylor]: Taking taylor expansion of -1 in f 5.992 * [backup-simplify]: Simplify -1 into -1 5.992 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.992 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.992 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.992 * [taylor]: Taking taylor expansion of f in f 5.992 * [backup-simplify]: Simplify 0 into 0 5.992 * [backup-simplify]: Simplify 1 into 1 5.992 * [backup-simplify]: Simplify (/ 1 1) into 1 5.992 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.992 * [taylor]: Taking taylor expansion of n in f 5.992 * [backup-simplify]: Simplify n into n 5.992 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.992 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.992 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.992 * [taylor]: Taking taylor expansion of f in f 5.992 * [backup-simplify]: Simplify 0 into 0 5.992 * [backup-simplify]: Simplify 1 into 1 5.993 * [backup-simplify]: Simplify (/ 1 1) into 1 5.993 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.993 * [taylor]: Taking taylor expansion of n in f 5.993 * [backup-simplify]: Simplify n into n 5.993 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.993 * [backup-simplify]: Simplify (+ 1 0) into 1 5.994 * [backup-simplify]: Simplify (+ 1 0) into 1 5.994 * [backup-simplify]: Simplify (/ 1 1) into 1 5.995 * [backup-simplify]: Simplify (* -1 1) into -1 5.995 * [taylor]: Taking taylor expansion of -1 in n 5.995 * [backup-simplify]: Simplify -1 into -1 5.995 * [backup-simplify]: Simplify -1 into -1 5.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.996 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.997 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.997 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.997 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.998 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 5.998 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.998 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.998 * [taylor]: Taking taylor expansion of 2 in n 5.998 * [backup-simplify]: Simplify 2 into 2 5.998 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.998 * [taylor]: Taking taylor expansion of n in n 5.998 * [backup-simplify]: Simplify 0 into 0 5.998 * [backup-simplify]: Simplify 1 into 1 5.998 * [backup-simplify]: Simplify (/ 1 1) into 1 5.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.000 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.000 * [backup-simplify]: Simplify (- 0) into 0 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 0 into 0 6.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.002 * [backup-simplify]: Simplify (+ 0 0) into 0 6.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.003 * [backup-simplify]: Simplify (- 0) into 0 6.004 * [backup-simplify]: Simplify (+ 0 0) into 0 6.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.006 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.006 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.006 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.006 * [taylor]: Taking taylor expansion of 2 in n 6.006 * [backup-simplify]: Simplify 2 into 2 6.006 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.006 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.006 * [taylor]: Taking taylor expansion of n in n 6.006 * [backup-simplify]: Simplify 0 into 0 6.006 * [backup-simplify]: Simplify 1 into 1 6.006 * [backup-simplify]: Simplify (* 1 1) into 1 6.007 * [backup-simplify]: Simplify (/ 1 1) into 1 6.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.011 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.011 * [backup-simplify]: Simplify (- 0) into 0 6.011 * [backup-simplify]: Simplify 0 into 0 6.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.013 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.013 * [backup-simplify]: Simplify (- 0) into 0 6.013 * [backup-simplify]: Simplify 0 into 0 6.013 * [backup-simplify]: Simplify 0 into 0 6.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.015 * [backup-simplify]: Simplify (+ 0 0) into 0 6.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.016 * [backup-simplify]: Simplify (- 0) into 0 6.017 * [backup-simplify]: Simplify (+ 0 0) into 0 6.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 6.020 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.020 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.020 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.020 * [taylor]: Taking taylor expansion of 2 in n 6.020 * [backup-simplify]: Simplify 2 into 2 6.020 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.020 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.020 * [taylor]: Taking taylor expansion of n in n 6.020 * [backup-simplify]: Simplify 0 into 0 6.020 * [backup-simplify]: Simplify 1 into 1 6.020 * [backup-simplify]: Simplify (* 1 1) into 1 6.021 * [backup-simplify]: Simplify (* 1 1) into 1 6.021 * [backup-simplify]: Simplify (/ 1 1) into 1 6.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.031 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.031 * [backup-simplify]: Simplify (- 0) into 0 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify -1 into -1 6.032 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 6.032 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.032 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.032 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.032 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.032 * [taylor]: Taking taylor expansion of f in n 6.032 * [backup-simplify]: Simplify f into f 6.032 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.032 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.032 * [taylor]: Taking taylor expansion of n in n 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 1 into 1 6.033 * [backup-simplify]: Simplify (/ 1 1) into 1 6.033 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.033 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.033 * [taylor]: Taking taylor expansion of n in n 6.033 * [backup-simplify]: Simplify 0 into 0 6.033 * [backup-simplify]: Simplify 1 into 1 6.033 * [backup-simplify]: Simplify (/ 1 1) into 1 6.033 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.033 * [taylor]: Taking taylor expansion of f in n 6.033 * [backup-simplify]: Simplify f into f 6.033 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.034 * [backup-simplify]: Simplify (+ 0 1) into 1 6.034 * [backup-simplify]: Simplify (+ 1 0) into 1 6.035 * [backup-simplify]: Simplify (/ 1 1) into 1 6.035 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.035 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.035 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.035 * [taylor]: Taking taylor expansion of f in f 6.035 * [backup-simplify]: Simplify 0 into 0 6.035 * [backup-simplify]: Simplify 1 into 1 6.035 * [backup-simplify]: Simplify (/ 1 1) into 1 6.035 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.035 * [taylor]: Taking taylor expansion of n in f 6.035 * [backup-simplify]: Simplify n into n 6.035 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.035 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.035 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.035 * [taylor]: Taking taylor expansion of n in f 6.035 * [backup-simplify]: Simplify n into n 6.035 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.035 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.035 * [taylor]: Taking taylor expansion of f in f 6.035 * [backup-simplify]: Simplify 0 into 0 6.035 * [backup-simplify]: Simplify 1 into 1 6.036 * [backup-simplify]: Simplify (/ 1 1) into 1 6.036 * [backup-simplify]: Simplify (+ 1 0) into 1 6.037 * [backup-simplify]: Simplify (- 1) into -1 6.037 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.037 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.038 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.038 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.038 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.038 * [taylor]: Taking taylor expansion of f in f 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify 1 into 1 6.038 * [backup-simplify]: Simplify (/ 1 1) into 1 6.038 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.038 * [taylor]: Taking taylor expansion of n in f 6.038 * [backup-simplify]: Simplify n into n 6.038 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.038 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.038 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.038 * [taylor]: Taking taylor expansion of n in f 6.038 * [backup-simplify]: Simplify n into n 6.038 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.038 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.039 * [taylor]: Taking taylor expansion of f in f 6.039 * [backup-simplify]: Simplify 0 into 0 6.039 * [backup-simplify]: Simplify 1 into 1 6.039 * [backup-simplify]: Simplify (/ 1 1) into 1 6.039 * [backup-simplify]: Simplify (+ 1 0) into 1 6.040 * [backup-simplify]: Simplify (- 1) into -1 6.040 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.041 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.041 * [taylor]: Taking taylor expansion of -1 in n 6.041 * [backup-simplify]: Simplify -1 into -1 6.041 * [backup-simplify]: Simplify -1 into -1 6.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.042 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.048 * [backup-simplify]: Simplify (- 0) into 0 6.049 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.049 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.049 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.049 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.049 * [taylor]: Taking taylor expansion of 2 in n 6.049 * [backup-simplify]: Simplify 2 into 2 6.049 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.049 * [taylor]: Taking taylor expansion of n in n 6.049 * [backup-simplify]: Simplify 0 into 0 6.049 * [backup-simplify]: Simplify 1 into 1 6.050 * [backup-simplify]: Simplify (/ 1 1) into 1 6.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.051 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.052 * [backup-simplify]: Simplify (- 0) into 0 6.052 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify 0 into 0 6.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.054 * [backup-simplify]: Simplify (+ 0 0) into 0 6.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.055 * [backup-simplify]: Simplify (- 0) into 0 6.056 * [backup-simplify]: Simplify (+ 0 0) into 0 6.057 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.057 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.057 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.057 * [taylor]: Taking taylor expansion of 2 in n 6.057 * [backup-simplify]: Simplify 2 into 2 6.057 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.057 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.057 * [taylor]: Taking taylor expansion of n in n 6.057 * [backup-simplify]: Simplify 0 into 0 6.057 * [backup-simplify]: Simplify 1 into 1 6.058 * [backup-simplify]: Simplify (* 1 1) into 1 6.058 * [backup-simplify]: Simplify (/ 1 1) into 1 6.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.064 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.064 * [backup-simplify]: Simplify (- 0) into 0 6.065 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.067 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.068 * [backup-simplify]: Simplify (- 0) into 0 6.068 * [backup-simplify]: Simplify 0 into 0 6.068 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.070 * [backup-simplify]: Simplify (+ 0 0) into 0 6.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.072 * [backup-simplify]: Simplify (- 0) into 0 6.072 * [backup-simplify]: Simplify (+ 0 0) into 0 6.075 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.075 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.075 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.075 * [taylor]: Taking taylor expansion of 2 in n 6.075 * [backup-simplify]: Simplify 2 into 2 6.075 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.075 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.075 * [taylor]: Taking taylor expansion of n in n 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 1 into 1 6.076 * [backup-simplify]: Simplify (* 1 1) into 1 6.076 * [backup-simplify]: Simplify (* 1 1) into 1 6.077 * [backup-simplify]: Simplify (/ 1 1) into 1 6.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.089 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.089 * [backup-simplify]: Simplify (- 0) into 0 6.089 * [backup-simplify]: Simplify 0 into 0 6.089 * [backup-simplify]: Simplify -1 into -1 6.090 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 6.090 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 6.090 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 6.090 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.090 * [taylor]: Taking taylor expansion of -1 in n 6.090 * [backup-simplify]: Simplify -1 into -1 6.090 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.090 * [taylor]: Taking taylor expansion of (+ n f) in n 6.090 * [taylor]: Taking taylor expansion of n in n 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify 1 into 1 6.090 * [taylor]: Taking taylor expansion of f in n 6.090 * [backup-simplify]: Simplify f into f 6.090 * [taylor]: Taking taylor expansion of (- f n) in n 6.090 * [taylor]: Taking taylor expansion of f in n 6.090 * [backup-simplify]: Simplify f into f 6.090 * [taylor]: Taking taylor expansion of n in n 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify 1 into 1 6.090 * [backup-simplify]: Simplify (+ 0 f) into f 6.091 * [backup-simplify]: Simplify (- 0) into 0 6.091 * [backup-simplify]: Simplify (+ f 0) into f 6.091 * [backup-simplify]: Simplify (/ f f) into 1 6.091 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.091 * [taylor]: Taking taylor expansion of -1 in f 6.091 * [backup-simplify]: Simplify -1 into -1 6.091 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.091 * [taylor]: Taking taylor expansion of (+ n f) in f 6.091 * [taylor]: Taking taylor expansion of n in f 6.091 * [backup-simplify]: Simplify n into n 6.091 * [taylor]: Taking taylor expansion of f in f 6.091 * [backup-simplify]: Simplify 0 into 0 6.091 * [backup-simplify]: Simplify 1 into 1 6.091 * [taylor]: Taking taylor expansion of (- f n) in f 6.092 * [taylor]: Taking taylor expansion of f in f 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 1 into 1 6.092 * [taylor]: Taking taylor expansion of n in f 6.092 * [backup-simplify]: Simplify n into n 6.092 * [backup-simplify]: Simplify (+ n 0) into n 6.092 * [backup-simplify]: Simplify (- n) into (- n) 6.092 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.092 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.092 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.092 * [taylor]: Taking taylor expansion of -1 in f 6.092 * [backup-simplify]: Simplify -1 into -1 6.092 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.092 * [taylor]: Taking taylor expansion of (+ n f) in f 6.092 * [taylor]: Taking taylor expansion of n in f 6.092 * [backup-simplify]: Simplify n into n 6.092 * [taylor]: Taking taylor expansion of f in f 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 1 into 1 6.092 * [taylor]: Taking taylor expansion of (- f n) in f 6.092 * [taylor]: Taking taylor expansion of f in f 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 1 into 1 6.092 * [taylor]: Taking taylor expansion of n in f 6.092 * [backup-simplify]: Simplify n into n 6.092 * [backup-simplify]: Simplify (+ n 0) into n 6.092 * [backup-simplify]: Simplify (- n) into (- n) 6.092 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.093 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.093 * [backup-simplify]: Simplify (* -1 -1) into 1 6.093 * [taylor]: Taking taylor expansion of 1 in n 6.093 * [backup-simplify]: Simplify 1 into 1 6.093 * [backup-simplify]: Simplify 1 into 1 6.094 * [backup-simplify]: Simplify (+ 0 1) into 1 6.095 * [backup-simplify]: Simplify (- 0) into 0 6.095 * [backup-simplify]: Simplify (+ 1 0) into 1 6.095 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.096 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.096 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.096 * [taylor]: Taking taylor expansion of 2 in n 6.096 * [backup-simplify]: Simplify 2 into 2 6.096 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.096 * [taylor]: Taking taylor expansion of n in n 6.096 * [backup-simplify]: Simplify 0 into 0 6.096 * [backup-simplify]: Simplify 1 into 1 6.097 * [backup-simplify]: Simplify (/ 1 1) into 1 6.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.099 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.099 * [backup-simplify]: Simplify 0 into 0 6.099 * [backup-simplify]: Simplify 0 into 0 6.100 * [backup-simplify]: Simplify (+ 0 0) into 0 6.100 * [backup-simplify]: Simplify (- 0) into 0 6.100 * [backup-simplify]: Simplify (+ 0 0) into 0 6.101 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.102 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.102 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.102 * [taylor]: Taking taylor expansion of 2 in n 6.102 * [backup-simplify]: Simplify 2 into 2 6.102 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.102 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.102 * [taylor]: Taking taylor expansion of n in n 6.102 * [backup-simplify]: Simplify 0 into 0 6.102 * [backup-simplify]: Simplify 1 into 1 6.103 * [backup-simplify]: Simplify (* 1 1) into 1 6.103 * [backup-simplify]: Simplify (/ 1 1) into 1 6.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.108 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.108 * [backup-simplify]: Simplify 0 into 0 6.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.111 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.111 * [backup-simplify]: Simplify 0 into 0 6.111 * [backup-simplify]: Simplify 0 into 0 6.112 * [backup-simplify]: Simplify (+ 0 0) into 0 6.112 * [backup-simplify]: Simplify (- 0) into 0 6.113 * [backup-simplify]: Simplify (+ 0 0) into 0 6.113 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 6.115 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 6.115 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.115 * [taylor]: Taking taylor expansion of 2 in n 6.115 * [backup-simplify]: Simplify 2 into 2 6.116 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.116 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.116 * [taylor]: Taking taylor expansion of n in n 6.116 * [backup-simplify]: Simplify 0 into 0 6.116 * [backup-simplify]: Simplify 1 into 1 6.116 * [backup-simplify]: Simplify (* 1 1) into 1 6.117 * [backup-simplify]: Simplify (* 1 1) into 1 6.117 * [backup-simplify]: Simplify (/ 1 1) into 1 6.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.128 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.128 * [backup-simplify]: Simplify 0 into 0 6.128 * [backup-simplify]: Simplify 1 into 1 6.128 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 6.128 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 6.128 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.128 * [taylor]: Taking taylor expansion of -1 in n 6.129 * [backup-simplify]: Simplify -1 into -1 6.129 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.129 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.129 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.129 * [taylor]: Taking taylor expansion of f in n 6.129 * [backup-simplify]: Simplify f into f 6.129 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.129 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.129 * [taylor]: Taking taylor expansion of n in n 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify 1 into 1 6.130 * [backup-simplify]: Simplify (/ 1 1) into 1 6.130 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.130 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.130 * [taylor]: Taking taylor expansion of f in n 6.130 * [backup-simplify]: Simplify f into f 6.130 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.130 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.130 * [taylor]: Taking taylor expansion of n in n 6.130 * [backup-simplify]: Simplify 0 into 0 6.130 * [backup-simplify]: Simplify 1 into 1 6.131 * [backup-simplify]: Simplify (/ 1 1) into 1 6.131 * [backup-simplify]: Simplify (+ 0 1) into 1 6.132 * [backup-simplify]: Simplify (- 1) into -1 6.132 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.133 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.133 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.133 * [taylor]: Taking taylor expansion of -1 in f 6.133 * [backup-simplify]: Simplify -1 into -1 6.133 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.133 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.133 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.133 * [taylor]: Taking taylor expansion of f in f 6.133 * [backup-simplify]: Simplify 0 into 0 6.133 * [backup-simplify]: Simplify 1 into 1 6.134 * [backup-simplify]: Simplify (/ 1 1) into 1 6.134 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.134 * [taylor]: Taking taylor expansion of n in f 6.134 * [backup-simplify]: Simplify n into n 6.134 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.134 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.134 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.134 * [taylor]: Taking taylor expansion of f in f 6.134 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify 1 into 1 6.135 * [backup-simplify]: Simplify (/ 1 1) into 1 6.135 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.135 * [taylor]: Taking taylor expansion of n in f 6.135 * [backup-simplify]: Simplify n into n 6.135 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.135 * [backup-simplify]: Simplify (+ 1 0) into 1 6.136 * [backup-simplify]: Simplify (+ 1 0) into 1 6.136 * [backup-simplify]: Simplify (/ 1 1) into 1 6.136 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.136 * [taylor]: Taking taylor expansion of -1 in f 6.136 * [backup-simplify]: Simplify -1 into -1 6.136 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.136 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.136 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.136 * [taylor]: Taking taylor expansion of f in f 6.136 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify 1 into 1 6.137 * [backup-simplify]: Simplify (/ 1 1) into 1 6.137 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.137 * [taylor]: Taking taylor expansion of n in f 6.137 * [backup-simplify]: Simplify n into n 6.137 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.137 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.137 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.137 * [taylor]: Taking taylor expansion of f in f 6.137 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify 1 into 1 6.138 * [backup-simplify]: Simplify (/ 1 1) into 1 6.138 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.138 * [taylor]: Taking taylor expansion of n in f 6.138 * [backup-simplify]: Simplify n into n 6.138 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.138 * [backup-simplify]: Simplify (+ 1 0) into 1 6.139 * [backup-simplify]: Simplify (+ 1 0) into 1 6.139 * [backup-simplify]: Simplify (/ 1 1) into 1 6.140 * [backup-simplify]: Simplify (* -1 1) into -1 6.140 * [taylor]: Taking taylor expansion of -1 in n 6.140 * [backup-simplify]: Simplify -1 into -1 6.140 * [backup-simplify]: Simplify -1 into -1 6.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.141 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.143 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.143 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.143 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.144 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.144 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.144 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.144 * [taylor]: Taking taylor expansion of 2 in n 6.144 * [backup-simplify]: Simplify 2 into 2 6.144 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.144 * [taylor]: Taking taylor expansion of n in n 6.144 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify 1 into 1 6.144 * [backup-simplify]: Simplify (/ 1 1) into 1 6.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.146 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.147 * [backup-simplify]: Simplify (- 0) into 0 6.147 * [backup-simplify]: Simplify 0 into 0 6.147 * [backup-simplify]: Simplify 0 into 0 6.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.149 * [backup-simplify]: Simplify (+ 0 0) into 0 6.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.152 * [backup-simplify]: Simplify (- 0) into 0 6.153 * [backup-simplify]: Simplify (+ 0 0) into 0 6.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.155 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.155 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.155 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.156 * [taylor]: Taking taylor expansion of 2 in n 6.156 * [backup-simplify]: Simplify 2 into 2 6.156 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.156 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.156 * [taylor]: Taking taylor expansion of n in n 6.156 * [backup-simplify]: Simplify 0 into 0 6.156 * [backup-simplify]: Simplify 1 into 1 6.156 * [backup-simplify]: Simplify (* 1 1) into 1 6.157 * [backup-simplify]: Simplify (/ 1 1) into 1 6.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.161 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.162 * [backup-simplify]: Simplify (- 0) into 0 6.162 * [backup-simplify]: Simplify 0 into 0 6.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.164 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.164 * [backup-simplify]: Simplify (- 0) into 0 6.164 * [backup-simplify]: Simplify 0 into 0 6.164 * [backup-simplify]: Simplify 0 into 0 6.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.166 * [backup-simplify]: Simplify (+ 0 0) into 0 6.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.168 * [backup-simplify]: Simplify (- 0) into 0 6.168 * [backup-simplify]: Simplify (+ 0 0) into 0 6.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 6.172 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.172 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.173 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.173 * [taylor]: Taking taylor expansion of 2 in n 6.173 * [backup-simplify]: Simplify 2 into 2 6.173 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.173 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.173 * [taylor]: Taking taylor expansion of n in n 6.173 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify 1 into 1 6.174 * [backup-simplify]: Simplify (* 1 1) into 1 6.174 * [backup-simplify]: Simplify (* 1 1) into 1 6.174 * [backup-simplify]: Simplify (/ 1 1) into 1 6.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.185 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.185 * [backup-simplify]: Simplify (- 0) into 0 6.185 * [backup-simplify]: Simplify 0 into 0 6.186 * [backup-simplify]: Simplify -1 into -1 6.186 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 6.186 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.186 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.186 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.186 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.186 * [taylor]: Taking taylor expansion of f in n 6.186 * [backup-simplify]: Simplify f into f 6.186 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.186 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.186 * [taylor]: Taking taylor expansion of n in n 6.186 * [backup-simplify]: Simplify 0 into 0 6.187 * [backup-simplify]: Simplify 1 into 1 6.187 * [backup-simplify]: Simplify (/ 1 1) into 1 6.187 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.187 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.187 * [taylor]: Taking taylor expansion of n in n 6.187 * [backup-simplify]: Simplify 0 into 0 6.187 * [backup-simplify]: Simplify 1 into 1 6.188 * [backup-simplify]: Simplify (/ 1 1) into 1 6.188 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.188 * [taylor]: Taking taylor expansion of f in n 6.188 * [backup-simplify]: Simplify f into f 6.188 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.188 * [backup-simplify]: Simplify (+ 0 1) into 1 6.189 * [backup-simplify]: Simplify (+ 1 0) into 1 6.189 * [backup-simplify]: Simplify (/ 1 1) into 1 6.189 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.189 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.189 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.190 * [taylor]: Taking taylor expansion of f in f 6.190 * [backup-simplify]: Simplify 0 into 0 6.190 * [backup-simplify]: Simplify 1 into 1 6.190 * [backup-simplify]: Simplify (/ 1 1) into 1 6.190 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.190 * [taylor]: Taking taylor expansion of n in f 6.190 * [backup-simplify]: Simplify n into n 6.190 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.190 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.190 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.190 * [taylor]: Taking taylor expansion of n in f 6.190 * [backup-simplify]: Simplify n into n 6.190 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.190 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.190 * [taylor]: Taking taylor expansion of f in f 6.190 * [backup-simplify]: Simplify 0 into 0 6.190 * [backup-simplify]: Simplify 1 into 1 6.191 * [backup-simplify]: Simplify (/ 1 1) into 1 6.191 * [backup-simplify]: Simplify (+ 1 0) into 1 6.192 * [backup-simplify]: Simplify (- 1) into -1 6.192 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.193 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.193 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.193 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.193 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.193 * [taylor]: Taking taylor expansion of f in f 6.193 * [backup-simplify]: Simplify 0 into 0 6.193 * [backup-simplify]: Simplify 1 into 1 6.193 * [backup-simplify]: Simplify (/ 1 1) into 1 6.194 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.194 * [taylor]: Taking taylor expansion of n in f 6.194 * [backup-simplify]: Simplify n into n 6.194 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.194 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.194 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.194 * [taylor]: Taking taylor expansion of n in f 6.194 * [backup-simplify]: Simplify n into n 6.194 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.194 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.194 * [taylor]: Taking taylor expansion of f in f 6.194 * [backup-simplify]: Simplify 0 into 0 6.194 * [backup-simplify]: Simplify 1 into 1 6.195 * [backup-simplify]: Simplify (/ 1 1) into 1 6.195 * [backup-simplify]: Simplify (+ 1 0) into 1 6.195 * [backup-simplify]: Simplify (- 1) into -1 6.196 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.196 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.197 * [taylor]: Taking taylor expansion of -1 in n 6.197 * [backup-simplify]: Simplify -1 into -1 6.197 * [backup-simplify]: Simplify -1 into -1 6.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.198 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.199 * [backup-simplify]: Simplify (- 0) into 0 6.199 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.200 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.200 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.200 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.200 * [taylor]: Taking taylor expansion of 2 in n 6.200 * [backup-simplify]: Simplify 2 into 2 6.200 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.200 * [taylor]: Taking taylor expansion of n in n 6.200 * [backup-simplify]: Simplify 0 into 0 6.200 * [backup-simplify]: Simplify 1 into 1 6.200 * [backup-simplify]: Simplify (/ 1 1) into 1 6.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.202 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.203 * [backup-simplify]: Simplify (- 0) into 0 6.203 * [backup-simplify]: Simplify 0 into 0 6.203 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.205 * [backup-simplify]: Simplify (+ 0 0) into 0 6.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.206 * [backup-simplify]: Simplify (- 0) into 0 6.207 * [backup-simplify]: Simplify (+ 0 0) into 0 6.208 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.208 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.208 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.208 * [taylor]: Taking taylor expansion of 2 in n 6.208 * [backup-simplify]: Simplify 2 into 2 6.209 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.209 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.209 * [taylor]: Taking taylor expansion of n in n 6.209 * [backup-simplify]: Simplify 0 into 0 6.209 * [backup-simplify]: Simplify 1 into 1 6.209 * [backup-simplify]: Simplify (* 1 1) into 1 6.210 * [backup-simplify]: Simplify (/ 1 1) into 1 6.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.214 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.215 * [backup-simplify]: Simplify (- 0) into 0 6.215 * [backup-simplify]: Simplify 0 into 0 6.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.217 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.217 * [backup-simplify]: Simplify (- 0) into 0 6.217 * [backup-simplify]: Simplify 0 into 0 6.218 * [backup-simplify]: Simplify 0 into 0 6.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.219 * [backup-simplify]: Simplify (+ 0 0) into 0 6.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.221 * [backup-simplify]: Simplify (- 0) into 0 6.222 * [backup-simplify]: Simplify (+ 0 0) into 0 6.224 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.224 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.224 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.224 * [taylor]: Taking taylor expansion of 2 in n 6.224 * [backup-simplify]: Simplify 2 into 2 6.224 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.224 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.224 * [taylor]: Taking taylor expansion of n in n 6.224 * [backup-simplify]: Simplify 0 into 0 6.224 * [backup-simplify]: Simplify 1 into 1 6.225 * [backup-simplify]: Simplify (* 1 1) into 1 6.225 * [backup-simplify]: Simplify (* 1 1) into 1 6.226 * [backup-simplify]: Simplify (/ 1 1) into 1 6.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.241 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.242 * [backup-simplify]: Simplify (- 0) into 0 6.242 * [backup-simplify]: Simplify 0 into 0 6.242 * [backup-simplify]: Simplify -1 into -1 6.242 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 6.243 * [backup-simplify]: Simplify (cbrt (/ (- (+ f n)) (- f n))) into (* (cbrt -1) (pow (/ (+ n f) (- f n)) 1/3)) 6.243 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ n f) (- f n)) 1/3)) in (f n) around 0 6.243 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ n f) (- f n)) 1/3)) in n 6.243 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.243 * [taylor]: Taking taylor expansion of -1 in n 6.243 * [backup-simplify]: Simplify -1 into -1 6.244 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.245 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.245 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in n 6.245 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in n 6.245 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in n 6.245 * [taylor]: Taking taylor expansion of 1/3 in n 6.245 * [backup-simplify]: Simplify 1/3 into 1/3 6.245 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in n 6.245 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.245 * [taylor]: Taking taylor expansion of (+ n f) in n 6.245 * [taylor]: Taking taylor expansion of n in n 6.245 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify 1 into 1 6.245 * [taylor]: Taking taylor expansion of f in n 6.245 * [backup-simplify]: Simplify f into f 6.245 * [taylor]: Taking taylor expansion of (- f n) in n 6.245 * [taylor]: Taking taylor expansion of f in n 6.245 * [backup-simplify]: Simplify f into f 6.245 * [taylor]: Taking taylor expansion of n in n 6.245 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify 1 into 1 6.245 * [backup-simplify]: Simplify (+ 0 f) into f 6.246 * [backup-simplify]: Simplify (- 0) into 0 6.246 * [backup-simplify]: Simplify (+ f 0) into f 6.246 * [backup-simplify]: Simplify (/ f f) into 1 6.247 * [backup-simplify]: Simplify (log 1) into 0 6.247 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.248 * [backup-simplify]: Simplify (+ 1 0) into 1 6.249 * [backup-simplify]: Simplify (- 1) into -1 6.249 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.250 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 6.251 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) 6.251 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) 6.252 * [backup-simplify]: Simplify (exp 0) into 1 6.252 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ n f) (- f n)) 1/3)) in f 6.252 * [taylor]: Taking taylor expansion of (cbrt -1) in f 6.252 * [taylor]: Taking taylor expansion of -1 in f 6.252 * [backup-simplify]: Simplify -1 into -1 6.252 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.254 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.254 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f 6.254 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f 6.254 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f 6.254 * [taylor]: Taking taylor expansion of 1/3 in f 6.254 * [backup-simplify]: Simplify 1/3 into 1/3 6.254 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 6.254 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.254 * [taylor]: Taking taylor expansion of (+ n f) in f 6.254 * [taylor]: Taking taylor expansion of n in f 6.254 * [backup-simplify]: Simplify n into n 6.254 * [taylor]: Taking taylor expansion of f in f 6.254 * [backup-simplify]: Simplify 0 into 0 6.254 * [backup-simplify]: Simplify 1 into 1 6.254 * [taylor]: Taking taylor expansion of (- f n) in f 6.254 * [taylor]: Taking taylor expansion of f in f 6.254 * [backup-simplify]: Simplify 0 into 0 6.254 * [backup-simplify]: Simplify 1 into 1 6.254 * [taylor]: Taking taylor expansion of n in f 6.254 * [backup-simplify]: Simplify n into n 6.254 * [backup-simplify]: Simplify (+ n 0) into n 6.254 * [backup-simplify]: Simplify (- n) into (- n) 6.254 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.255 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.255 * [backup-simplify]: Simplify (log -1) into (log -1) 6.256 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 6.258 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 6.258 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ n f) (- f n)) 1/3)) in f 6.258 * [taylor]: Taking taylor expansion of (cbrt -1) in f 6.258 * [taylor]: Taking taylor expansion of -1 in f 6.258 * [backup-simplify]: Simplify -1 into -1 6.262 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.263 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.264 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f 6.264 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f 6.264 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f 6.264 * [taylor]: Taking taylor expansion of 1/3 in f 6.264 * [backup-simplify]: Simplify 1/3 into 1/3 6.264 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 6.264 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.264 * [taylor]: Taking taylor expansion of (+ n f) in f 6.264 * [taylor]: Taking taylor expansion of n in f 6.264 * [backup-simplify]: Simplify n into n 6.264 * [taylor]: Taking taylor expansion of f in f 6.264 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify 1 into 1 6.264 * [taylor]: Taking taylor expansion of (- f n) in f 6.264 * [taylor]: Taking taylor expansion of f in f 6.264 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify 1 into 1 6.264 * [taylor]: Taking taylor expansion of n in f 6.264 * [backup-simplify]: Simplify n into n 6.264 * [backup-simplify]: Simplify (+ n 0) into n 6.264 * [backup-simplify]: Simplify (- n) into (- n) 6.264 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.265 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.265 * [backup-simplify]: Simplify (log -1) into (log -1) 6.266 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 6.268 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 6.270 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (pow -1 1/3) (cbrt -1)) 6.271 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (cbrt -1)) in n 6.271 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 6.271 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 6.271 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 6.271 * [taylor]: Taking taylor expansion of 1/3 in n 6.271 * [backup-simplify]: Simplify 1/3 into 1/3 6.271 * [taylor]: Taking taylor expansion of (log -1) in n 6.271 * [taylor]: Taking taylor expansion of -1 in n 6.271 * [backup-simplify]: Simplify -1 into -1 6.271 * [backup-simplify]: Simplify (log -1) into (log -1) 6.272 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 6.274 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 6.274 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.274 * [taylor]: Taking taylor expansion of -1 in n 6.274 * [backup-simplify]: Simplify -1 into -1 6.275 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.276 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.278 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (pow -1 1/3) (cbrt -1)) 6.279 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (pow -1 1/3) (cbrt -1)) 6.281 * [backup-simplify]: Simplify (+ 0 1) into 1 6.281 * [backup-simplify]: Simplify (- 0) into 0 6.282 * [backup-simplify]: Simplify (+ 1 0) into 1 6.282 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow -1 1)))) 1) into (/ 2 n) 6.284 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 (log -1))) into (* 2/3 (/ 1 n)) 6.286 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (* 2/3 (* (pow -1 1/3) (/ 1 n))) 6.288 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 2/3 (* (pow -1 1/3) (/ 1 n)))) (* 0 (pow -1 1/3))) into (* 2/3 (* (pow -1 1/3) (/ (cbrt -1) n))) 6.289 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow -1 1/3) (/ (cbrt -1) n))) in n 6.289 * [taylor]: Taking taylor expansion of 2/3 in n 6.289 * [backup-simplify]: Simplify 2/3 into 2/3 6.289 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ (cbrt -1) n)) in n 6.289 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 6.289 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 6.289 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 6.289 * [taylor]: Taking taylor expansion of 1/3 in n 6.289 * [backup-simplify]: Simplify 1/3 into 1/3 6.289 * [taylor]: Taking taylor expansion of (log -1) in n 6.289 * [taylor]: Taking taylor expansion of -1 in n 6.289 * [backup-simplify]: Simplify -1 into -1 6.290 * [backup-simplify]: Simplify (log -1) into (log -1) 6.291 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 6.292 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 6.292 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 6.292 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.292 * [taylor]: Taking taylor expansion of -1 in n 6.292 * [backup-simplify]: Simplify -1 into -1 6.293 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.294 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.294 * [taylor]: Taking taylor expansion of n in n 6.294 * [backup-simplify]: Simplify 0 into 0 6.294 * [backup-simplify]: Simplify 1 into 1 6.295 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 6.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 6.298 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 6.299 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 6.300 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 6.302 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 (cbrt -1))) into 0 6.304 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (pow -1 1/3) (cbrt -1)) 6.305 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (* (pow -1 1/3) (cbrt -1)))) into 0 6.305 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 6.309 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 6.310 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 6.311 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 (cbrt -1))) into 0 6.311 * [backup-simplify]: Simplify 0 into 0 6.313 * [backup-simplify]: Simplify (+ 0 0) into 0 6.314 * [backup-simplify]: Simplify (- 0) into 0 6.314 * [backup-simplify]: Simplify (+ 0 0) into 0 6.315 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.317 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 1)))) 2) into 0 6.318 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 (log -1)))) into 0 6.321 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (pow -1 1/3) (/ 1 (pow n 2)))) 6.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.327 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 2/9 (* (pow -1 1/3) (/ 1 (pow n 2))))) (+ (* 0 (* 2/3 (* (pow -1 1/3) (/ 1 n)))) (* 0 (pow -1 1/3)))) into (* 2/9 (* (pow -1 1/3) (/ (cbrt -1) (pow n 2)))) 6.327 * [taylor]: Taking taylor expansion of (* 2/9 (* (pow -1 1/3) (/ (cbrt -1) (pow n 2)))) in n 6.327 * [taylor]: Taking taylor expansion of 2/9 in n 6.327 * [backup-simplify]: Simplify 2/9 into 2/9 6.327 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ (cbrt -1) (pow n 2))) in n 6.327 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 6.327 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 6.327 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 6.327 * [taylor]: Taking taylor expansion of 1/3 in n 6.328 * [backup-simplify]: Simplify 1/3 into 1/3 6.328 * [taylor]: Taking taylor expansion of (log -1) in n 6.328 * [taylor]: Taking taylor expansion of -1 in n 6.328 * [backup-simplify]: Simplify -1 into -1 6.328 * [backup-simplify]: Simplify (log -1) into (log -1) 6.329 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 6.331 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 6.331 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 6.331 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.331 * [taylor]: Taking taylor expansion of -1 in n 6.331 * [backup-simplify]: Simplify -1 into -1 6.332 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.332 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.332 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.333 * [taylor]: Taking taylor expansion of n in n 6.333 * [backup-simplify]: Simplify 0 into 0 6.333 * [backup-simplify]: Simplify 1 into 1 6.333 * [backup-simplify]: Simplify (* 1 1) into 1 6.334 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 6.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 6.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.342 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 6.343 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 6.345 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 6.348 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 6.349 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 6.351 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.353 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.354 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 (cbrt -1))) into 0 6.356 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (pow -1 1/3) (cbrt -1)) 6.358 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (* (pow -1 1/3) (cbrt -1))))) into 0 6.358 * [backup-simplify]: Simplify 0 into 0 6.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.365 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 6.366 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 6.369 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.370 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.372 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (pow -1 1/3) (cbrt -1))))) into 0 6.372 * [backup-simplify]: Simplify 0 into 0 6.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.377 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 6.379 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 6.381 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.384 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.384 * [backup-simplify]: Simplify 0 into 0 6.385 * [backup-simplify]: Simplify (+ 0 0) into 0 6.386 * [backup-simplify]: Simplify (- 0) into 0 6.387 * [backup-simplify]: Simplify (+ 0 0) into 0 6.388 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 6.391 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow n 3)) 6.393 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow n 3))) 6.396 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (* 22/81 (* (pow -1 1/3) (/ 1 (pow n 3)))) 6.398 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.402 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 22/81 (* (pow -1 1/3) (/ 1 (pow n 3))))) (+ (* 0 (* 2/9 (* (pow -1 1/3) (/ 1 (pow n 2))))) (+ (* 0 (* 2/3 (* (pow -1 1/3) (/ 1 n)))) (* 0 (pow -1 1/3))))) into (* 22/81 (* (pow -1 1/3) (/ (cbrt -1) (pow n 3)))) 6.402 * [taylor]: Taking taylor expansion of (* 22/81 (* (pow -1 1/3) (/ (cbrt -1) (pow n 3)))) in n 6.402 * [taylor]: Taking taylor expansion of 22/81 in n 6.402 * [backup-simplify]: Simplify 22/81 into 22/81 6.402 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ (cbrt -1) (pow n 3))) in n 6.402 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 6.402 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 6.402 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 6.402 * [taylor]: Taking taylor expansion of 1/3 in n 6.402 * [backup-simplify]: Simplify 1/3 into 1/3 6.402 * [taylor]: Taking taylor expansion of (log -1) in n 6.402 * [taylor]: Taking taylor expansion of -1 in n 6.402 * [backup-simplify]: Simplify -1 into -1 6.403 * [backup-simplify]: Simplify (log -1) into (log -1) 6.404 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 6.405 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 6.405 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 6.405 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.405 * [taylor]: Taking taylor expansion of -1 in n 6.405 * [backup-simplify]: Simplify -1 into -1 6.406 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.407 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.407 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.407 * [taylor]: Taking taylor expansion of n in n 6.407 * [backup-simplify]: Simplify 0 into 0 6.407 * [backup-simplify]: Simplify 1 into 1 6.407 * [backup-simplify]: Simplify (* 1 1) into 1 6.408 * [backup-simplify]: Simplify (* 1 1) into 1 6.409 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 6.410 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 6.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.427 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 6.428 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 6.430 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 6.433 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 6.434 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 6.436 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.442 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 6.444 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 6.446 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.448 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 6.449 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.451 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 (cbrt -1))) into 0 6.453 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (pow -1 1/3) (cbrt -1)) 6.454 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow -1 1/3) (cbrt -1)))))) into 0 6.455 * [backup-simplify]: Simplify 0 into 0 6.457 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (pow -1 1/3) (cbrt -1)) 6.457 * [backup-simplify]: Simplify (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (* (cbrt -1) (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3)) 6.457 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3)) in (f n) around 0 6.457 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3)) in n 6.457 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.457 * [taylor]: Taking taylor expansion of -1 in n 6.458 * [backup-simplify]: Simplify -1 into -1 6.458 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.459 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.459 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in n 6.459 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 6.459 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 6.459 * [taylor]: Taking taylor expansion of 1/3 in n 6.459 * [backup-simplify]: Simplify 1/3 into 1/3 6.459 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.459 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.459 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.459 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.459 * [taylor]: Taking taylor expansion of f in n 6.459 * [backup-simplify]: Simplify f into f 6.460 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.460 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.460 * [taylor]: Taking taylor expansion of n in n 6.460 * [backup-simplify]: Simplify 0 into 0 6.460 * [backup-simplify]: Simplify 1 into 1 6.460 * [backup-simplify]: Simplify (/ 1 1) into 1 6.460 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.460 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.460 * [taylor]: Taking taylor expansion of f in n 6.460 * [backup-simplify]: Simplify f into f 6.460 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.460 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.460 * [taylor]: Taking taylor expansion of n in n 6.460 * [backup-simplify]: Simplify 0 into 0 6.460 * [backup-simplify]: Simplify 1 into 1 6.461 * [backup-simplify]: Simplify (/ 1 1) into 1 6.461 * [backup-simplify]: Simplify (+ 0 1) into 1 6.462 * [backup-simplify]: Simplify (- 1) into -1 6.462 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.462 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.463 * [backup-simplify]: Simplify (log -1) into (log -1) 6.464 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 6.465 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 6.465 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3)) in f 6.465 * [taylor]: Taking taylor expansion of (cbrt -1) in f 6.465 * [taylor]: Taking taylor expansion of -1 in f 6.465 * [backup-simplify]: Simplify -1 into -1 6.466 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.467 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.467 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f 6.467 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 6.467 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 6.467 * [taylor]: Taking taylor expansion of 1/3 in f 6.467 * [backup-simplify]: Simplify 1/3 into 1/3 6.467 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.467 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.467 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.467 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.467 * [taylor]: Taking taylor expansion of f in f 6.467 * [backup-simplify]: Simplify 0 into 0 6.467 * [backup-simplify]: Simplify 1 into 1 6.468 * [backup-simplify]: Simplify (/ 1 1) into 1 6.468 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.468 * [taylor]: Taking taylor expansion of n in f 6.468 * [backup-simplify]: Simplify n into n 6.468 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.468 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.468 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.468 * [taylor]: Taking taylor expansion of f in f 6.468 * [backup-simplify]: Simplify 0 into 0 6.468 * [backup-simplify]: Simplify 1 into 1 6.469 * [backup-simplify]: Simplify (/ 1 1) into 1 6.469 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.469 * [taylor]: Taking taylor expansion of n in f 6.469 * [backup-simplify]: Simplify n into n 6.469 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.470 * [backup-simplify]: Simplify (+ 1 0) into 1 6.470 * [backup-simplify]: Simplify (+ 1 0) into 1 6.471 * [backup-simplify]: Simplify (/ 1 1) into 1 6.471 * [backup-simplify]: Simplify (log 1) into 0 6.472 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.473 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.474 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.474 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.475 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.476 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) 6.476 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) 6.476 * [backup-simplify]: Simplify (exp 0) into 1 6.476 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3)) in f 6.476 * [taylor]: Taking taylor expansion of (cbrt -1) in f 6.476 * [taylor]: Taking taylor expansion of -1 in f 6.476 * [backup-simplify]: Simplify -1 into -1 6.477 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.478 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.478 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f 6.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 6.478 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 6.478 * [taylor]: Taking taylor expansion of 1/3 in f 6.478 * [backup-simplify]: Simplify 1/3 into 1/3 6.478 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.478 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.478 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.478 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.478 * [taylor]: Taking taylor expansion of f in f 6.478 * [backup-simplify]: Simplify 0 into 0 6.478 * [backup-simplify]: Simplify 1 into 1 6.479 * [backup-simplify]: Simplify (/ 1 1) into 1 6.479 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.479 * [taylor]: Taking taylor expansion of n in f 6.479 * [backup-simplify]: Simplify n into n 6.479 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.479 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.479 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.479 * [taylor]: Taking taylor expansion of f in f 6.479 * [backup-simplify]: Simplify 0 into 0 6.479 * [backup-simplify]: Simplify 1 into 1 6.480 * [backup-simplify]: Simplify (/ 1 1) into 1 6.480 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.480 * [taylor]: Taking taylor expansion of n in f 6.480 * [backup-simplify]: Simplify n into n 6.480 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.480 * [backup-simplify]: Simplify (+ 1 0) into 1 6.481 * [backup-simplify]: Simplify (+ 1 0) into 1 6.481 * [backup-simplify]: Simplify (/ 1 1) into 1 6.482 * [backup-simplify]: Simplify (log 1) into 0 6.482 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.483 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.484 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.484 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.484 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.485 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) 6.486 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) 6.486 * [backup-simplify]: Simplify (exp 0) into 1 6.487 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 6.487 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.487 * [taylor]: Taking taylor expansion of -1 in n 6.487 * [backup-simplify]: Simplify -1 into -1 6.488 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.489 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.489 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.490 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (/ 2/3 n) 6.491 * [backup-simplify]: Simplify (+ (* (cbrt -1) (/ 2/3 n)) (* 0 1)) into (* 2/3 (/ (cbrt -1) n)) 6.491 * [taylor]: Taking taylor expansion of (* 2/3 (/ (cbrt -1) n)) in n 6.491 * [taylor]: Taking taylor expansion of 2/3 in n 6.491 * [backup-simplify]: Simplify 2/3 into 2/3 6.491 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 6.491 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.491 * [taylor]: Taking taylor expansion of -1 in n 6.491 * [backup-simplify]: Simplify -1 into -1 6.492 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.493 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.493 * [taylor]: Taking taylor expansion of n in n 6.493 * [backup-simplify]: Simplify 0 into 0 6.493 * [backup-simplify]: Simplify 1 into 1 6.494 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 6.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 6.496 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (cbrt -1))) into 0 6.496 * [backup-simplify]: Simplify 0 into 0 6.496 * [backup-simplify]: Simplify 0 into 0 6.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.498 * [backup-simplify]: Simplify (+ 0 0) into 0 6.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.500 * [backup-simplify]: Simplify (- 0) into 0 6.500 * [backup-simplify]: Simplify (+ 0 0) into 0 6.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.504 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 6.505 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 0))) into 0 6.506 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 2/9 (pow n 2)) 6.508 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.510 * [backup-simplify]: Simplify (+ (* (cbrt -1) (/ 2/9 (pow n 2))) (+ (* 0 (/ 2/3 n)) (* 0 1))) into (* 2/9 (/ (cbrt -1) (pow n 2))) 6.510 * [taylor]: Taking taylor expansion of (* 2/9 (/ (cbrt -1) (pow n 2))) in n 6.510 * [taylor]: Taking taylor expansion of 2/9 in n 6.510 * [backup-simplify]: Simplify 2/9 into 2/9 6.510 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 6.510 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.510 * [taylor]: Taking taylor expansion of -1 in n 6.510 * [backup-simplify]: Simplify -1 into -1 6.510 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.511 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.511 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.511 * [taylor]: Taking taylor expansion of n in n 6.511 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify 1 into 1 6.512 * [backup-simplify]: Simplify (* 1 1) into 1 6.513 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 6.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 6.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.521 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.521 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.525 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.525 * [backup-simplify]: Simplify 0 into 0 6.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.527 * [backup-simplify]: Simplify 0 into 0 6.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.529 * [backup-simplify]: Simplify (+ 0 0) into 0 6.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.531 * [backup-simplify]: Simplify (- 0) into 0 6.531 * [backup-simplify]: Simplify (+ 0 0) into 0 6.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 6.536 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1) (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 2/3 (pow n 3)) 6.537 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 0)))) into (* 2/9 (/ 1 (pow n 3))) 6.539 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 22/81 (pow n 3)) 6.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.542 * [backup-simplify]: Simplify (+ (* (cbrt -1) (/ 22/81 (pow n 3))) (+ (* 0 (/ 2/9 (pow n 2))) (+ (* 0 (/ 2/3 n)) (* 0 1)))) into (* 22/81 (/ (cbrt -1) (pow n 3))) 6.543 * [taylor]: Taking taylor expansion of (* 22/81 (/ (cbrt -1) (pow n 3))) in n 6.543 * [taylor]: Taking taylor expansion of 22/81 in n 6.543 * [backup-simplify]: Simplify 22/81 into 22/81 6.543 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 6.543 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.543 * [taylor]: Taking taylor expansion of -1 in n 6.543 * [backup-simplify]: Simplify -1 into -1 6.543 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.544 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.544 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.544 * [taylor]: Taking taylor expansion of n in n 6.544 * [backup-simplify]: Simplify 0 into 0 6.544 * [backup-simplify]: Simplify 1 into 1 6.545 * [backup-simplify]: Simplify (* 1 1) into 1 6.545 * [backup-simplify]: Simplify (* 1 1) into 1 6.546 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 6.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 6.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.560 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 6.560 * [backup-simplify]: Simplify 0 into 0 6.561 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.561 * [backup-simplify]: Simplify (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) 6.561 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in (f n) around 0 6.561 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in n 6.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 6.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 6.561 * [taylor]: Taking taylor expansion of 1/3 in n 6.561 * [backup-simplify]: Simplify 1/3 into 1/3 6.561 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 6.562 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.562 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.562 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.562 * [taylor]: Taking taylor expansion of f in n 6.562 * [backup-simplify]: Simplify f into f 6.562 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.562 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.562 * [taylor]: Taking taylor expansion of n in n 6.562 * [backup-simplify]: Simplify 0 into 0 6.562 * [backup-simplify]: Simplify 1 into 1 6.562 * [backup-simplify]: Simplify (/ 1 1) into 1 6.562 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.562 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.562 * [taylor]: Taking taylor expansion of n in n 6.563 * [backup-simplify]: Simplify 0 into 0 6.563 * [backup-simplify]: Simplify 1 into 1 6.563 * [backup-simplify]: Simplify (/ 1 1) into 1 6.563 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.563 * [taylor]: Taking taylor expansion of f in n 6.563 * [backup-simplify]: Simplify f into f 6.563 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.564 * [backup-simplify]: Simplify (+ 0 1) into 1 6.564 * [backup-simplify]: Simplify (+ 1 0) into 1 6.565 * [backup-simplify]: Simplify (/ 1 1) into 1 6.565 * [backup-simplify]: Simplify (log 1) into 0 6.565 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.566 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.568 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 6.568 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 6.568 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 6.569 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) 6.569 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) 6.570 * [backup-simplify]: Simplify (exp 0) into 1 6.570 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f 6.570 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 6.570 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 6.570 * [taylor]: Taking taylor expansion of 1/3 in f 6.570 * [backup-simplify]: Simplify 1/3 into 1/3 6.570 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 6.570 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.570 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.570 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.570 * [taylor]: Taking taylor expansion of f in f 6.570 * [backup-simplify]: Simplify 0 into 0 6.570 * [backup-simplify]: Simplify 1 into 1 6.570 * [backup-simplify]: Simplify (/ 1 1) into 1 6.570 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.570 * [taylor]: Taking taylor expansion of n in f 6.570 * [backup-simplify]: Simplify n into n 6.571 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.571 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.571 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.571 * [taylor]: Taking taylor expansion of n in f 6.571 * [backup-simplify]: Simplify n into n 6.571 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.571 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.571 * [taylor]: Taking taylor expansion of f in f 6.571 * [backup-simplify]: Simplify 0 into 0 6.571 * [backup-simplify]: Simplify 1 into 1 6.571 * [backup-simplify]: Simplify (/ 1 1) into 1 6.572 * [backup-simplify]: Simplify (+ 1 0) into 1 6.572 * [backup-simplify]: Simplify (- 1) into -1 6.572 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.573 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.573 * [backup-simplify]: Simplify (log -1) into (log -1) 6.574 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 6.576 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 6.576 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f 6.576 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 6.576 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 6.576 * [taylor]: Taking taylor expansion of 1/3 in f 6.576 * [backup-simplify]: Simplify 1/3 into 1/3 6.576 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 6.576 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.576 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.576 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.576 * [taylor]: Taking taylor expansion of f in f 6.576 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify 1 into 1 6.577 * [backup-simplify]: Simplify (/ 1 1) into 1 6.577 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.577 * [taylor]: Taking taylor expansion of n in f 6.577 * [backup-simplify]: Simplify n into n 6.577 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.577 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.577 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.577 * [taylor]: Taking taylor expansion of n in f 6.577 * [backup-simplify]: Simplify n into n 6.577 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.577 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.577 * [taylor]: Taking taylor expansion of f in f 6.577 * [backup-simplify]: Simplify 0 into 0 6.577 * [backup-simplify]: Simplify 1 into 1 6.578 * [backup-simplify]: Simplify (/ 1 1) into 1 6.578 * [backup-simplify]: Simplify (+ 1 0) into 1 6.579 * [backup-simplify]: Simplify (- 1) into -1 6.579 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.579 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.580 * [backup-simplify]: Simplify (log -1) into (log -1) 6.581 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 6.583 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 6.583 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 6.583 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 6.583 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 6.583 * [taylor]: Taking taylor expansion of 1/3 in n 6.583 * [backup-simplify]: Simplify 1/3 into 1/3 6.583 * [taylor]: Taking taylor expansion of (log -1) in n 6.583 * [taylor]: Taking taylor expansion of -1 in n 6.583 * [backup-simplify]: Simplify -1 into -1 6.584 * [backup-simplify]: Simplify (log -1) into (log -1) 6.585 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 6.586 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 6.587 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 6.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.588 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.589 * [backup-simplify]: Simplify (- 0) into 0 6.589 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.589 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.590 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow -1 1)))) 1) into (/ 2 n) 6.591 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 (log -1))) into (* 2/3 (/ 1 n)) 6.597 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (* 2/3 (* (pow -1 1/3) (/ 1 n))) 6.597 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow -1 1/3) (/ 1 n))) in n 6.597 * [taylor]: Taking taylor expansion of 2/3 in n 6.597 * [backup-simplify]: Simplify 2/3 into 2/3 6.597 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ 1 n)) in n 6.597 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 6.598 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 6.598 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 6.598 * [taylor]: Taking taylor expansion of 1/3 in n 6.598 * [backup-simplify]: Simplify 1/3 into 1/3 6.598 * [taylor]: Taking taylor expansion of (log -1) in n 6.598 * [taylor]: Taking taylor expansion of -1 in n 6.598 * [backup-simplify]: Simplify -1 into -1 6.598 * [backup-simplify]: Simplify (log -1) into (log -1) 6.599 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 6.601 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 6.601 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.601 * [taylor]: Taking taylor expansion of n in n 6.601 * [backup-simplify]: Simplify 0 into 0 6.601 * [backup-simplify]: Simplify 1 into 1 6.602 * [backup-simplify]: Simplify (/ 1 1) into 1 6.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 6.605 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 6.607 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 6.608 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 1)) into 0 6.610 * [backup-simplify]: Simplify (* (pow -1 1/3) 1) into (pow -1 1/3) 6.611 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (pow -1 1/3))) into 0 6.611 * [backup-simplify]: Simplify 0 into 0 6.612 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 6.613 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 6.615 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 6.615 * [backup-simplify]: Simplify 0 into 0 6.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.617 * [backup-simplify]: Simplify (+ 0 0) into 0 6.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.619 * [backup-simplify]: Simplify (- 0) into 0 6.619 * [backup-simplify]: Simplify (+ 0 0) into 0 6.621 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.623 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 1)))) 2) into 0 6.624 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 (log -1)))) into 0 6.627 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (pow -1 1/3) (/ 1 (pow n 2)))) 6.627 * [taylor]: Taking taylor expansion of (* 2/9 (* (pow -1 1/3) (/ 1 (pow n 2)))) in n 6.627 * [taylor]: Taking taylor expansion of 2/9 in n 6.627 * [backup-simplify]: Simplify 2/9 into 2/9 6.627 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ 1 (pow n 2))) in n 6.627 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 6.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 6.627 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 6.627 * [taylor]: Taking taylor expansion of 1/3 in n 6.627 * [backup-simplify]: Simplify 1/3 into 1/3 6.627 * [taylor]: Taking taylor expansion of (log -1) in n 6.627 * [taylor]: Taking taylor expansion of -1 in n 6.627 * [backup-simplify]: Simplify -1 into -1 6.627 * [backup-simplify]: Simplify (log -1) into (log -1) 6.628 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 6.630 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 6.630 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.630 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.630 * [taylor]: Taking taylor expansion of n in n 6.630 * [backup-simplify]: Simplify 0 into 0 6.631 * [backup-simplify]: Simplify 1 into 1 6.631 * [backup-simplify]: Simplify (* 1 1) into 1 6.631 * [backup-simplify]: Simplify (/ 1 1) into 1 6.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.636 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 6.637 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 6.638 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 6.641 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 6.647 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 6.650 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.654 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 6.655 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 1)) into 0 6.657 * [backup-simplify]: Simplify (* (pow -1 1/3) 1) into (pow -1 1/3) 6.658 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 6.659 * [backup-simplify]: Simplify 0 into 0 6.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.662 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 6.664 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 6.666 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.668 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 6.669 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 6.669 * [backup-simplify]: Simplify 0 into 0 6.672 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 6.673 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 6.675 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.675 * [backup-simplify]: Simplify 0 into 0 6.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.677 * [backup-simplify]: Simplify (+ 0 0) into 0 6.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.679 * [backup-simplify]: Simplify (- 0) into 0 6.679 * [backup-simplify]: Simplify (+ 0 0) into 0 6.681 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.684 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow n 3)) 6.686 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow n 3))) 6.689 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (* 22/81 (* (pow -1 1/3) (/ 1 (pow n 3)))) 6.689 * [taylor]: Taking taylor expansion of (* 22/81 (* (pow -1 1/3) (/ 1 (pow n 3)))) in n 6.689 * [taylor]: Taking taylor expansion of 22/81 in n 6.689 * [backup-simplify]: Simplify 22/81 into 22/81 6.689 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ 1 (pow n 3))) in n 6.689 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 6.689 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 6.689 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 6.689 * [taylor]: Taking taylor expansion of 1/3 in n 6.689 * [backup-simplify]: Simplify 1/3 into 1/3 6.689 * [taylor]: Taking taylor expansion of (log -1) in n 6.689 * [taylor]: Taking taylor expansion of -1 in n 6.689 * [backup-simplify]: Simplify -1 into -1 6.690 * [backup-simplify]: Simplify (log -1) into (log -1) 6.691 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 6.692 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 6.692 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.692 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.693 * [taylor]: Taking taylor expansion of n in n 6.693 * [backup-simplify]: Simplify 0 into 0 6.693 * [backup-simplify]: Simplify 1 into 1 6.693 * [backup-simplify]: Simplify (* 1 1) into 1 6.693 * [backup-simplify]: Simplify (* 1 1) into 1 6.694 * [backup-simplify]: Simplify (/ 1 1) into 1 6.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.703 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 6.704 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 6.706 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 6.709 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 6.710 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 6.712 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.718 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 6.719 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 6.722 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.724 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.725 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 6.727 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 1)) into 0 6.728 * [backup-simplify]: Simplify (* (pow -1 1/3) 1) into (pow -1 1/3) 6.729 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 6.730 * [backup-simplify]: Simplify 0 into 0 6.730 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 6.730 * * * [progress]: simplifying candidates 6.742 * [simplify]: Simplifying: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 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cost 0 inf + 289311 10.375 * [simplify]: Simplified to: (expm1 (- (/ (+ n f) (- f n)))) (log1p (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (exp (- (/ (+ n f) (- f n)))) (* (* (- (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n))))) (cbrt (- (/ (+ n f) (- f n)))) (* (* (- (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (sqrt (- (/ (+ n f) (- f n)))) (sqrt (- (/ (+ n f) (- f n)))) (+ n f) (+ n (- f)) 0 (/ (+ n f) (- f n)) (* (/ (cbrt (- (- f) n)) (cbrt (- f n))) (/ (cbrt (- (- f) n)) (cbrt (- f n)))) (/ (cbrt (- (- f) n)) (cbrt (- f n))) (/ (cbrt (- (- f) n)) (/ (sqrt (- f n)) (cbrt (- (- f) n)))) (/ (cbrt (- (- f) n)) (sqrt (- f n))) (* (cbrt (- (- f) n)) (cbrt (- (- f) n))) (/ (cbrt (- (- f) n)) (- f n)) (/ (* (cbrt (- (- f) n)) (cbrt (- (- f) n))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (- f) n)) (- (sqrt f) (sqrt n))) (* (cbrt (- (- f) n)) (cbrt (- (- f) n))) 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(sqrt (+ n f)) (- f n)))) (cbrt (/ (sqrt (+ n f)) (+ (sqrt f) (sqrt n)))) (cbrt (- (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))))) (cbrt (sqrt (+ n f))) (cbrt (- (/ (sqrt (+ n f)) (- f n)))) (cbrt (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (/ (- (- f) n) (cbrt (- f n)))) (cbrt (/ 1 (sqrt (- f n)))) (cbrt (/ (- (- f) n) (sqrt (- f n)))) 1 (cbrt (- (/ (+ n f) (- f n)))) (cbrt (/ 1 (+ (sqrt f) (sqrt n)))) (cbrt (/ (- (- f) n) (- (sqrt f) (sqrt n)))) 1 (cbrt (- (/ (+ n f) (- f n)))) (cbrt (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (/ (- (- f) n) (cbrt (- f n)))) (cbrt (/ 1 (sqrt (- f n)))) (cbrt (/ (- (- f) n) (sqrt (- f n)))) 1 (cbrt (- (/ (+ n f) (- f n)))) (cbrt (/ 1 (+ (sqrt f) (sqrt n)))) (cbrt (/ (- (- f) n) (- (sqrt f) (sqrt n)))) 1 (cbrt (- (/ (+ n f) (- f n)))) 1 (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (- f) n)) (cbrt (/ 1 (- f n))) (cbrt (- (/ (+ n f) (- (* (* f f) f) (* (* n n) n))))) (cbrt (fma n (+ n f) (* f f))) (cbrt (- (/ 1 (- f n)))) (cbrt (+ n f)) (cbrt (- (- f) n)) (cbrt (- f n)) (* (cbrt (cbrt (- (/ (+ n f) (- f n))))) (cbrt (cbrt (- (/ (+ n f) (- f n)))))) (cbrt (cbrt (- (/ (+ n f) (- f n))))) (- (/ (+ n f) (- f n))) (sqrt (cbrt (- (/ (+ n f) (- f n))))) (sqrt (cbrt (- (/ (+ n f) (- f n))))) 1 -1 -1 1 -1 -1 1 -1 -1 (* (cbrt -1) (cbrt -1)) (cbrt -1) (cbrt -1) 10.466 * * * [progress]: adding candidates to table 13.315 * * [progress]: iteration 3 / 4 13.315 * * * [progress]: picking best candidate 13.345 * * * * [pick]: Picked # 13.345 * * * [progress]: localizing error 13.400 * * * [progress]: generating rewritten candidates 13.400 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 13.508 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 13.538 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 13.644 * * * [progress]: generating series expansions 13.644 * * * * [progress]: [ 1 / 3 ] generating series at (2) 13.644 * [backup-simplify]: Simplify (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))) into (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) 13.644 * [approximate]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in (f n) around 0 13.644 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in n 13.645 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in n 13.645 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.645 * [taylor]: Taking taylor expansion of n in n 13.645 * [backup-simplify]: Simplify 0 into 0 13.645 * [backup-simplify]: Simplify 1 into 1 13.645 * [taylor]: Taking taylor expansion of (pow f 2) in n 13.645 * [taylor]: Taking taylor expansion of f in n 13.645 * [backup-simplify]: Simplify f into f 13.645 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 13.645 * [taylor]: Taking taylor expansion of (- f n) in n 13.645 * [taylor]: Taking taylor expansion of f in n 13.645 * [backup-simplify]: Simplify f into f 13.645 * [taylor]: Taking taylor expansion of n in n 13.645 * [backup-simplify]: Simplify 0 into 0 13.645 * [backup-simplify]: Simplify 1 into 1 13.646 * [backup-simplify]: Simplify (- 0) into 0 13.646 * [backup-simplify]: Simplify (+ f 0) into f 13.646 * [backup-simplify]: Simplify (* f f) into (pow f 2) 13.646 * [backup-simplify]: Simplify (- (pow f 2)) into (- (pow f 2)) 13.646 * [backup-simplify]: Simplify (+ 0 (- (pow f 2))) into (- (pow f 2)) 13.646 * [backup-simplify]: Simplify (* f f) into (pow f 2) 13.647 * [backup-simplify]: Simplify (/ (- (pow f 2)) (pow f 2)) into -1 13.647 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in f 13.647 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in f 13.647 * [taylor]: Taking taylor expansion of (pow n 2) in f 13.647 * [taylor]: Taking taylor expansion of n in f 13.647 * [backup-simplify]: Simplify n into n 13.647 * [taylor]: Taking taylor expansion of (pow f 2) in f 13.647 * [taylor]: Taking taylor expansion of f in f 13.647 * [backup-simplify]: Simplify 0 into 0 13.647 * [backup-simplify]: Simplify 1 into 1 13.647 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 13.647 * [taylor]: Taking taylor expansion of (- f n) in f 13.647 * [taylor]: Taking taylor expansion of f in f 13.647 * [backup-simplify]: Simplify 0 into 0 13.647 * [backup-simplify]: Simplify 1 into 1 13.647 * [taylor]: Taking taylor expansion of n in f 13.647 * [backup-simplify]: Simplify n into n 13.647 * [backup-simplify]: Simplify (- n) into (- n) 13.647 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 13.647 * [backup-simplify]: Simplify (* n n) into (pow n 2) 13.647 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 13.647 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 13.648 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 13.648 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in f 13.648 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in f 13.648 * [taylor]: Taking taylor expansion of (pow n 2) in f 13.648 * [taylor]: Taking taylor expansion of n in f 13.648 * [backup-simplify]: Simplify n into n 13.648 * [taylor]: Taking taylor expansion of (pow f 2) in f 13.648 * [taylor]: Taking taylor expansion of f in f 13.648 * [backup-simplify]: Simplify 0 into 0 13.648 * [backup-simplify]: Simplify 1 into 1 13.648 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 13.648 * [taylor]: Taking taylor expansion of (- f n) in f 13.648 * [taylor]: Taking taylor expansion of f in f 13.648 * [backup-simplify]: Simplify 0 into 0 13.648 * [backup-simplify]: Simplify 1 into 1 13.648 * [taylor]: Taking taylor expansion of n in f 13.648 * [backup-simplify]: Simplify n into n 13.648 * [backup-simplify]: Simplify (- n) into (- n) 13.648 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 13.648 * [backup-simplify]: Simplify (* n n) into (pow n 2) 13.649 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 13.649 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 13.649 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 13.649 * [taylor]: Taking taylor expansion of 1 in n 13.649 * [backup-simplify]: Simplify 1 into 1 13.649 * [backup-simplify]: Simplify 1 into 1 13.649 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 13.650 * [backup-simplify]: Simplify (+ 0 0) into 0 13.651 * [backup-simplify]: Simplify (- 0) into 0 13.651 * [backup-simplify]: Simplify (+ 1 0) into 1 13.651 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 13.652 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 n)) 13.652 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 13.652 * [taylor]: Taking taylor expansion of 2 in n 13.652 * [backup-simplify]: Simplify 2 into 2 13.652 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.652 * [taylor]: Taking taylor expansion of n in n 13.652 * [backup-simplify]: Simplify 0 into 0 13.652 * [backup-simplify]: Simplify 1 into 1 13.653 * [backup-simplify]: Simplify (/ 1 1) into 1 13.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.654 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.654 * [backup-simplify]: Simplify 0 into 0 13.654 * [backup-simplify]: Simplify 0 into 0 13.655 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 13.655 * [backup-simplify]: Simplify (* 1 1) into 1 13.656 * [backup-simplify]: Simplify (- 1) into -1 13.656 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.656 * [backup-simplify]: Simplify (- 0) into 0 13.657 * [backup-simplify]: Simplify (+ 0 0) into 0 13.657 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 13.658 * [backup-simplify]: Simplify (- (/ -1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 2 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 (pow n 2))) 13.658 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 13.658 * [taylor]: Taking taylor expansion of 2 in n 13.658 * [backup-simplify]: Simplify 2 into 2 13.658 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.658 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.658 * [taylor]: Taking taylor expansion of n in n 13.658 * [backup-simplify]: Simplify 0 into 0 13.658 * [backup-simplify]: Simplify 1 into 1 13.659 * [backup-simplify]: Simplify (* 1 1) into 1 13.659 * [backup-simplify]: Simplify (/ 1 1) into 1 13.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.664 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.664 * [backup-simplify]: Simplify 0 into 0 13.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.666 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.666 * [backup-simplify]: Simplify 0 into 0 13.666 * [backup-simplify]: Simplify 0 into 0 13.667 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 13.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.668 * [backup-simplify]: Simplify (- 0) into 0 13.669 * [backup-simplify]: Simplify (+ 0 0) into 0 13.669 * [backup-simplify]: Simplify (- 0) into 0 13.669 * [backup-simplify]: Simplify (+ 0 0) into 0 13.670 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 13.671 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 2 (/ 1 n)) (/ 1 (pow n 2))) (* (* 2 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 (pow n 3))) 13.671 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 13.671 * [taylor]: Taking taylor expansion of 2 in n 13.672 * [backup-simplify]: Simplify 2 into 2 13.672 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 13.672 * [taylor]: Taking taylor expansion of (pow n 3) in n 13.672 * [taylor]: Taking taylor expansion of n in n 13.672 * [backup-simplify]: Simplify 0 into 0 13.672 * [backup-simplify]: Simplify 1 into 1 13.672 * [backup-simplify]: Simplify (* 1 1) into 1 13.673 * [backup-simplify]: Simplify (* 1 1) into 1 13.673 * [backup-simplify]: Simplify (/ 1 1) into 1 13.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.683 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.683 * [backup-simplify]: Simplify 0 into 0 13.683 * [backup-simplify]: Simplify 1 into 1 13.684 * [backup-simplify]: Simplify (/ (- (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n)))) (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) into (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) 13.684 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 13.684 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 13.684 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 13.684 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.684 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.684 * [taylor]: Taking taylor expansion of n in n 13.684 * [backup-simplify]: Simplify 0 into 0 13.684 * [backup-simplify]: Simplify 1 into 1 13.684 * [backup-simplify]: Simplify (* 1 1) into 1 13.685 * [backup-simplify]: Simplify (/ 1 1) into 1 13.685 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 13.685 * [taylor]: Taking taylor expansion of (pow f 2) in n 13.685 * [taylor]: Taking taylor expansion of f in n 13.685 * [backup-simplify]: Simplify f into f 13.685 * [backup-simplify]: Simplify (* f f) into (pow f 2) 13.685 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 13.685 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 13.685 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 13.685 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.685 * [taylor]: Taking taylor expansion of f in n 13.685 * [backup-simplify]: Simplify f into f 13.685 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.685 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.685 * [taylor]: Taking taylor expansion of n in n 13.685 * [backup-simplify]: Simplify 0 into 0 13.686 * [backup-simplify]: Simplify 1 into 1 13.686 * [backup-simplify]: Simplify (/ 1 1) into 1 13.686 * [backup-simplify]: Simplify (- 1) into -1 13.687 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.687 * [backup-simplify]: Simplify (+ 1 0) into 1 13.688 * [backup-simplify]: Simplify (* -1 -1) into 1 13.688 * [backup-simplify]: Simplify (/ 1 1) into 1 13.688 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 13.688 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 13.688 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 13.688 * [taylor]: Taking taylor expansion of (pow n 2) in f 13.688 * [taylor]: Taking taylor expansion of n in f 13.688 * [backup-simplify]: Simplify n into n 13.688 * [backup-simplify]: Simplify (* n n) into (pow n 2) 13.689 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 13.689 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 13.689 * [taylor]: Taking taylor expansion of (pow f 2) in f 13.689 * [taylor]: Taking taylor expansion of f in f 13.689 * [backup-simplify]: Simplify 0 into 0 13.689 * [backup-simplify]: Simplify 1 into 1 13.689 * [backup-simplify]: Simplify (* 1 1) into 1 13.690 * [backup-simplify]: Simplify (/ 1 1) into 1 13.690 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 13.690 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 13.690 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.690 * [taylor]: Taking taylor expansion of f in f 13.690 * [backup-simplify]: Simplify 0 into 0 13.690 * [backup-simplify]: Simplify 1 into 1 13.690 * [backup-simplify]: Simplify (/ 1 1) into 1 13.691 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.691 * [taylor]: Taking taylor expansion of n in f 13.691 * [backup-simplify]: Simplify n into n 13.691 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.691 * [backup-simplify]: Simplify (+ 1 0) into 1 13.692 * [backup-simplify]: Simplify (- 1) into -1 13.692 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.693 * [backup-simplify]: Simplify (* 1 1) into 1 13.693 * [backup-simplify]: Simplify (/ -1 1) into -1 13.693 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 13.693 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 13.693 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 13.693 * [taylor]: Taking taylor expansion of (pow n 2) in f 13.693 * [taylor]: Taking taylor expansion of n in f 13.693 * [backup-simplify]: Simplify n into n 13.693 * [backup-simplify]: Simplify (* n n) into (pow n 2) 13.694 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 13.694 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 13.694 * [taylor]: Taking taylor expansion of (pow f 2) in f 13.694 * [taylor]: Taking taylor expansion of f in f 13.694 * [backup-simplify]: Simplify 0 into 0 13.694 * [backup-simplify]: Simplify 1 into 1 13.694 * [backup-simplify]: Simplify (* 1 1) into 1 13.700 * [backup-simplify]: Simplify (/ 1 1) into 1 13.700 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 13.701 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 13.701 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.701 * [taylor]: Taking taylor expansion of f in f 13.701 * [backup-simplify]: Simplify 0 into 0 13.701 * [backup-simplify]: Simplify 1 into 1 13.702 * [backup-simplify]: Simplify (/ 1 1) into 1 13.702 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.702 * [taylor]: Taking taylor expansion of n in f 13.702 * [backup-simplify]: Simplify n into n 13.702 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.703 * [backup-simplify]: Simplify (+ 1 0) into 1 13.704 * [backup-simplify]: Simplify (- 1) into -1 13.704 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.705 * [backup-simplify]: Simplify (* 1 1) into 1 13.705 * [backup-simplify]: Simplify (/ -1 1) into -1 13.705 * [taylor]: Taking taylor expansion of -1 in n 13.706 * [backup-simplify]: Simplify -1 into -1 13.706 * [backup-simplify]: Simplify -1 into -1 13.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.708 * [backup-simplify]: Simplify (- 0) into 0 13.709 * [backup-simplify]: Simplify (+ 0 0) into 0 13.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.710 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 13.710 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 13.710 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 13.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 13.711 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 13.711 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 13.711 * [taylor]: Taking taylor expansion of 2 in n 13.711 * [backup-simplify]: Simplify 2 into 2 13.711 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.711 * [taylor]: Taking taylor expansion of n in n 13.711 * [backup-simplify]: Simplify 0 into 0 13.712 * [backup-simplify]: Simplify 1 into 1 13.712 * [backup-simplify]: Simplify (/ 1 1) into 1 13.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.714 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.715 * [backup-simplify]: Simplify (- 0) into 0 13.715 * [backup-simplify]: Simplify 0 into 0 13.715 * [backup-simplify]: Simplify 0 into 0 13.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.717 * [backup-simplify]: Simplify (- 0) into 0 13.718 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 13.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.720 * [backup-simplify]: Simplify (- 0) into 0 13.720 * [backup-simplify]: Simplify (+ 0 0) into 0 13.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 13.723 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* -1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 13.723 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 13.723 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 13.723 * [taylor]: Taking taylor expansion of 2 in n 13.723 * [backup-simplify]: Simplify 2 into 2 13.723 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.723 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.723 * [taylor]: Taking taylor expansion of n in n 13.723 * [backup-simplify]: Simplify 0 into 0 13.723 * [backup-simplify]: Simplify 1 into 1 13.724 * [backup-simplify]: Simplify (* 1 1) into 1 13.724 * [backup-simplify]: Simplify (/ 1 1) into 1 13.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.730 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.730 * [backup-simplify]: Simplify (- 0) into 0 13.730 * [backup-simplify]: Simplify 0 into 0 13.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.733 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.733 * [backup-simplify]: Simplify (- 0) into 0 13.734 * [backup-simplify]: Simplify 0 into 0 13.734 * [backup-simplify]: Simplify 0 into 0 13.734 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 13.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 13.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.738 * [backup-simplify]: Simplify (- 0) into 0 13.738 * [backup-simplify]: Simplify (+ 0 0) into 0 13.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.740 * [backup-simplify]: Simplify (- 0) into 0 13.741 * [backup-simplify]: Simplify (+ 0 0) into 0 13.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 13.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 13.744 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 13.744 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 13.744 * [taylor]: Taking taylor expansion of 2 in n 13.744 * [backup-simplify]: Simplify 2 into 2 13.745 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 13.745 * [taylor]: Taking taylor expansion of (pow n 3) in n 13.745 * [taylor]: Taking taylor expansion of n in n 13.745 * [backup-simplify]: Simplify 0 into 0 13.745 * [backup-simplify]: Simplify 1 into 1 13.745 * [backup-simplify]: Simplify (* 1 1) into 1 13.746 * [backup-simplify]: Simplify (* 1 1) into 1 13.746 * [backup-simplify]: Simplify (/ 1 1) into 1 13.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.760 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.761 * [backup-simplify]: Simplify (- 0) into 0 13.761 * [backup-simplify]: Simplify 0 into 0 13.761 * [backup-simplify]: Simplify -1 into -1 13.762 * [backup-simplify]: Simplify (/ (- (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n))))) (* (- (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) 13.762 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in (f n) around 0 13.762 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 13.762 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 13.762 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.762 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.762 * [taylor]: Taking taylor expansion of n in n 13.763 * [backup-simplify]: Simplify 0 into 0 13.763 * [backup-simplify]: Simplify 1 into 1 13.764 * [backup-simplify]: Simplify (* 1 1) into 1 13.764 * [backup-simplify]: Simplify (/ 1 1) into 1 13.764 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 13.764 * [taylor]: Taking taylor expansion of (pow f 2) in n 13.765 * [taylor]: Taking taylor expansion of f in n 13.765 * [backup-simplify]: Simplify f into f 13.765 * [backup-simplify]: Simplify (* f f) into (pow f 2) 13.765 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 13.765 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 13.765 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 13.765 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.765 * [taylor]: Taking taylor expansion of n in n 13.765 * [backup-simplify]: Simplify 0 into 0 13.765 * [backup-simplify]: Simplify 1 into 1 13.766 * [backup-simplify]: Simplify (/ 1 1) into 1 13.766 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.766 * [taylor]: Taking taylor expansion of f in n 13.766 * [backup-simplify]: Simplify f into f 13.766 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.767 * [backup-simplify]: Simplify (+ 1 0) into 1 13.768 * [backup-simplify]: Simplify (+ 1 0) into 1 13.768 * [backup-simplify]: Simplify (* 1 1) into 1 13.769 * [backup-simplify]: Simplify (/ 1 1) into 1 13.769 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 13.769 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 13.769 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 13.769 * [taylor]: Taking taylor expansion of (pow n 2) in f 13.769 * [taylor]: Taking taylor expansion of n in f 13.769 * [backup-simplify]: Simplify n into n 13.769 * [backup-simplify]: Simplify (* n n) into (pow n 2) 13.769 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 13.769 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 13.770 * [taylor]: Taking taylor expansion of (pow f 2) in f 13.770 * [taylor]: Taking taylor expansion of f in f 13.770 * [backup-simplify]: Simplify 0 into 0 13.770 * [backup-simplify]: Simplify 1 into 1 13.771 * [backup-simplify]: Simplify (* 1 1) into 1 13.771 * [backup-simplify]: Simplify (/ 1 1) into 1 13.771 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 13.771 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 13.771 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.771 * [taylor]: Taking taylor expansion of n in f 13.771 * [backup-simplify]: Simplify n into n 13.772 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.772 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.772 * [taylor]: Taking taylor expansion of f in f 13.772 * [backup-simplify]: Simplify 0 into 0 13.772 * [backup-simplify]: Simplify 1 into 1 13.772 * [backup-simplify]: Simplify (/ 1 1) into 1 13.773 * [backup-simplify]: Simplify (- 1) into -1 13.774 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.774 * [backup-simplify]: Simplify (- 1) into -1 13.775 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.775 * [backup-simplify]: Simplify (* -1 -1) into 1 13.776 * [backup-simplify]: Simplify (/ -1 1) into -1 13.776 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 13.776 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 13.776 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 13.776 * [taylor]: Taking taylor expansion of (pow n 2) in f 13.776 * [taylor]: Taking taylor expansion of n in f 13.776 * [backup-simplify]: Simplify n into n 13.776 * [backup-simplify]: Simplify (* n n) into (pow n 2) 13.776 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 13.777 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 13.777 * [taylor]: Taking taylor expansion of (pow f 2) in f 13.777 * [taylor]: Taking taylor expansion of f in f 13.777 * [backup-simplify]: Simplify 0 into 0 13.777 * [backup-simplify]: Simplify 1 into 1 13.777 * [backup-simplify]: Simplify (* 1 1) into 1 13.778 * [backup-simplify]: Simplify (/ 1 1) into 1 13.778 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 13.778 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 13.778 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.778 * [taylor]: Taking taylor expansion of n in f 13.778 * [backup-simplify]: Simplify n into n 13.778 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.778 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.778 * [taylor]: Taking taylor expansion of f in f 13.778 * [backup-simplify]: Simplify 0 into 0 13.778 * [backup-simplify]: Simplify 1 into 1 13.779 * [backup-simplify]: Simplify (/ 1 1) into 1 13.779 * [backup-simplify]: Simplify (- 1) into -1 13.780 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.780 * [backup-simplify]: Simplify (- 1) into -1 13.781 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.781 * [backup-simplify]: Simplify (* -1 -1) into 1 13.782 * [backup-simplify]: Simplify (/ -1 1) into -1 13.782 * [taylor]: Taking taylor expansion of -1 in n 13.782 * [backup-simplify]: Simplify -1 into -1 13.782 * [backup-simplify]: Simplify -1 into -1 13.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.784 * [backup-simplify]: Simplify (- 0) into 0 13.785 * [backup-simplify]: Simplify (+ 0 0) into 0 13.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.786 * [backup-simplify]: Simplify (- 0) into 0 13.786 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 13.786 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 13.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 13.787 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 13.787 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 13.787 * [taylor]: Taking taylor expansion of 2 in n 13.787 * [backup-simplify]: Simplify 2 into 2 13.788 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.788 * [taylor]: Taking taylor expansion of n in n 13.788 * [backup-simplify]: Simplify 0 into 0 13.788 * [backup-simplify]: Simplify 1 into 1 13.788 * [backup-simplify]: Simplify (/ 1 1) into 1 13.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.790 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.791 * [backup-simplify]: Simplify (- 0) into 0 13.791 * [backup-simplify]: Simplify 0 into 0 13.791 * [backup-simplify]: Simplify 0 into 0 13.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.794 * [backup-simplify]: Simplify (- 0) into 0 13.794 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 13.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.796 * [backup-simplify]: Simplify (- 0) into 0 13.797 * [backup-simplify]: Simplify (+ 0 0) into 0 13.798 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 13.799 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* -1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 13.799 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 13.799 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 13.799 * [taylor]: Taking taylor expansion of 2 in n 13.799 * [backup-simplify]: Simplify 2 into 2 13.799 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.799 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.799 * [taylor]: Taking taylor expansion of n in n 13.799 * [backup-simplify]: Simplify 0 into 0 13.799 * [backup-simplify]: Simplify 1 into 1 13.800 * [backup-simplify]: Simplify (* 1 1) into 1 13.800 * [backup-simplify]: Simplify (/ 1 1) into 1 13.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.806 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.807 * [backup-simplify]: Simplify (- 0) into 0 13.807 * [backup-simplify]: Simplify 0 into 0 13.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.810 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.811 * [backup-simplify]: Simplify (- 0) into 0 13.811 * [backup-simplify]: Simplify 0 into 0 13.811 * [backup-simplify]: Simplify 0 into 0 13.811 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 13.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 13.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.815 * [backup-simplify]: Simplify (- 0) into 0 13.815 * [backup-simplify]: Simplify (+ 0 0) into 0 13.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.817 * [backup-simplify]: Simplify (- 0) into 0 13.817 * [backup-simplify]: Simplify (+ 0 0) into 0 13.819 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 13.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 13.822 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 13.822 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 13.822 * [taylor]: Taking taylor expansion of 2 in n 13.822 * [backup-simplify]: Simplify 2 into 2 13.822 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 13.822 * [taylor]: Taking taylor expansion of (pow n 3) in n 13.822 * [taylor]: Taking taylor expansion of n in n 13.822 * [backup-simplify]: Simplify 0 into 0 13.822 * [backup-simplify]: Simplify 1 into 1 13.823 * [backup-simplify]: Simplify (* 1 1) into 1 13.823 * [backup-simplify]: Simplify (* 1 1) into 1 13.823 * [backup-simplify]: Simplify (/ 1 1) into 1 13.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.834 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.835 * [backup-simplify]: Simplify (- 0) into 0 13.835 * [backup-simplify]: Simplify 0 into 0 13.835 * [backup-simplify]: Simplify -1 into -1 13.835 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 13.835 * [backup-simplify]: Simplify (- (* f f) (* n n)) into (- (pow f 2) (pow n 2)) 13.835 * [approximate]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in (f n) around 0 13.835 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in n 13.835 * [taylor]: Taking taylor expansion of (pow f 2) in n 13.835 * [taylor]: Taking taylor expansion of f in n 13.835 * [backup-simplify]: Simplify f into f 13.835 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.835 * [taylor]: Taking taylor expansion of n in n 13.835 * [backup-simplify]: Simplify 0 into 0 13.835 * [backup-simplify]: Simplify 1 into 1 13.835 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 13.836 * [taylor]: Taking taylor expansion of (pow f 2) in f 13.836 * [taylor]: Taking taylor expansion of f in f 13.836 * [backup-simplify]: Simplify 0 into 0 13.836 * [backup-simplify]: Simplify 1 into 1 13.836 * [taylor]: Taking taylor expansion of (pow n 2) in f 13.836 * [taylor]: Taking taylor expansion of n in f 13.836 * [backup-simplify]: Simplify n into n 13.836 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 13.836 * [taylor]: Taking taylor expansion of (pow f 2) in f 13.836 * [taylor]: Taking taylor expansion of f in f 13.836 * [backup-simplify]: Simplify 0 into 0 13.836 * [backup-simplify]: Simplify 1 into 1 13.836 * [taylor]: Taking taylor expansion of (pow n 2) in f 13.836 * [taylor]: Taking taylor expansion of n in f 13.836 * [backup-simplify]: Simplify n into n 13.836 * [backup-simplify]: Simplify (* n n) into (pow n 2) 13.836 * [backup-simplify]: Simplify (- (pow n 2)) into (- (pow n 2)) 13.836 * [backup-simplify]: Simplify (+ 0 (- (pow n 2))) into (- (pow n 2)) 13.836 * [taylor]: Taking taylor expansion of (- (pow n 2)) in n 13.836 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.837 * [taylor]: Taking taylor expansion of n in n 13.837 * [backup-simplify]: Simplify 0 into 0 13.837 * [backup-simplify]: Simplify 1 into 1 13.837 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 13.837 * [backup-simplify]: Simplify (- 0) into 0 13.838 * [backup-simplify]: Simplify (+ 0 0) into 0 13.838 * [taylor]: Taking taylor expansion of 0 in n 13.838 * [backup-simplify]: Simplify 0 into 0 13.838 * [backup-simplify]: Simplify 0 into 0 13.838 * [backup-simplify]: Simplify (* 1 1) into 1 13.839 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 13.839 * [backup-simplify]: Simplify (- 0) into 0 13.840 * [backup-simplify]: Simplify (+ 1 0) into 1 13.840 * [taylor]: Taking taylor expansion of 1 in n 13.840 * [backup-simplify]: Simplify 1 into 1 13.840 * [backup-simplify]: Simplify 1 into 1 13.840 * [backup-simplify]: Simplify 0 into 0 13.841 * [backup-simplify]: Simplify (* 1 1) into 1 13.841 * [backup-simplify]: Simplify (- 1) into -1 13.841 * [backup-simplify]: Simplify -1 into -1 13.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.843 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 13.844 * [backup-simplify]: Simplify (- 0) into 0 13.845 * [backup-simplify]: Simplify (+ 0 0) into 0 13.845 * [taylor]: Taking taylor expansion of 0 in n 13.845 * [backup-simplify]: Simplify 0 into 0 13.845 * [backup-simplify]: Simplify 0 into 0 13.845 * [backup-simplify]: Simplify 0 into 0 13.845 * [backup-simplify]: Simplify 0 into 0 13.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.846 * [backup-simplify]: Simplify (- 0) into 0 13.846 * [backup-simplify]: Simplify 0 into 0 13.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.849 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 13.849 * [backup-simplify]: Simplify (- 0) into 0 13.849 * [backup-simplify]: Simplify (+ 0 0) into 0 13.849 * [taylor]: Taking taylor expansion of 0 in n 13.849 * [backup-simplify]: Simplify 0 into 0 13.850 * [backup-simplify]: Simplify 0 into 0 13.850 * [backup-simplify]: Simplify 0 into 0 13.850 * [backup-simplify]: Simplify (+ (* -1 (pow (* n 1) 2)) (* 1 (pow (* 1 f) 2))) into (- (pow f 2) (pow n 2)) 13.851 * [backup-simplify]: Simplify (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 13.851 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 13.851 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 13.851 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 13.851 * [taylor]: Taking taylor expansion of (pow f 2) in n 13.851 * [taylor]: Taking taylor expansion of f in n 13.851 * [backup-simplify]: Simplify f into f 13.851 * [backup-simplify]: Simplify (* f f) into (pow f 2) 13.851 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 13.851 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.851 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.851 * [taylor]: Taking taylor expansion of n in n 13.851 * [backup-simplify]: Simplify 0 into 0 13.851 * [backup-simplify]: Simplify 1 into 1 13.852 * [backup-simplify]: Simplify (* 1 1) into 1 13.852 * [backup-simplify]: Simplify (/ 1 1) into 1 13.852 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 13.852 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 13.852 * [taylor]: Taking taylor expansion of (pow f 2) in f 13.852 * [taylor]: Taking taylor expansion of f in f 13.852 * [backup-simplify]: Simplify 0 into 0 13.852 * [backup-simplify]: Simplify 1 into 1 13.853 * [backup-simplify]: Simplify (* 1 1) into 1 13.853 * [backup-simplify]: Simplify (/ 1 1) into 1 13.853 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 13.853 * [taylor]: Taking taylor expansion of (pow n 2) in f 13.853 * [taylor]: Taking taylor expansion of n in f 13.853 * [backup-simplify]: Simplify n into n 13.853 * [backup-simplify]: Simplify (* n n) into (pow n 2) 13.854 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 13.854 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 13.854 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 13.854 * [taylor]: Taking taylor expansion of (pow f 2) in f 13.854 * [taylor]: Taking taylor expansion of f in f 13.854 * [backup-simplify]: Simplify 0 into 0 13.854 * [backup-simplify]: Simplify 1 into 1 13.854 * [backup-simplify]: Simplify (* 1 1) into 1 13.855 * [backup-simplify]: Simplify (/ 1 1) into 1 13.855 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 13.855 * [taylor]: Taking taylor expansion of (pow n 2) in f 13.855 * [taylor]: Taking taylor expansion of n in f 13.855 * [backup-simplify]: Simplify n into n 13.855 * [backup-simplify]: Simplify (* n n) into (pow n 2) 13.856 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 13.857 * [backup-simplify]: Simplify (+ 1 0) into 1 13.857 * [taylor]: Taking taylor expansion of 1 in n 13.857 * [backup-simplify]: Simplify 1 into 1 13.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.861 * [backup-simplify]: Simplify (+ 0 0) into 0 13.861 * [taylor]: Taking taylor expansion of 0 in n 13.861 * [backup-simplify]: Simplify 0 into 0 13.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.863 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 13.864 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 13.864 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 13.864 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.864 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.864 * [taylor]: Taking taylor expansion of n in n 13.864 * [backup-simplify]: Simplify 0 into 0 13.864 * [backup-simplify]: Simplify 1 into 1 13.864 * [backup-simplify]: Simplify (* 1 1) into 1 13.865 * [backup-simplify]: Simplify (/ 1 1) into 1 13.866 * [backup-simplify]: Simplify (- 1) into -1 13.866 * [backup-simplify]: Simplify -1 into -1 13.866 * [backup-simplify]: Simplify 1 into 1 13.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.868 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 13.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 13.870 * [backup-simplify]: Simplify (- 0) into 0 13.871 * [backup-simplify]: Simplify (+ 0 0) into 0 13.871 * [taylor]: Taking taylor expansion of 0 in n 13.871 * [backup-simplify]: Simplify 0 into 0 13.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.874 * [backup-simplify]: Simplify (- 0) into 0 13.874 * [backup-simplify]: Simplify 0 into 0 13.874 * [backup-simplify]: Simplify 0 into 0 13.875 * [backup-simplify]: Simplify 0 into 0 13.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.879 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 13.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 13.880 * [backup-simplify]: Simplify (- 0) into 0 13.880 * [backup-simplify]: Simplify (+ 0 0) into 0 13.880 * [taylor]: Taking taylor expansion of 0 in n 13.880 * [backup-simplify]: Simplify 0 into 0 13.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.883 * [backup-simplify]: Simplify (- 0) into 0 13.883 * [backup-simplify]: Simplify 0 into 0 13.883 * [backup-simplify]: Simplify 0 into 0 13.883 * [backup-simplify]: Simplify 0 into 0 13.884 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 f))) 2)) (* -1 (pow (* (/ 1 (/ 1 n)) 1) 2))) into (- (pow f 2) (pow n 2)) 13.884 * [backup-simplify]: Simplify (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n)))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 13.884 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 13.884 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 13.884 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 13.884 * [taylor]: Taking taylor expansion of (pow f 2) in n 13.884 * [taylor]: Taking taylor expansion of f in n 13.884 * [backup-simplify]: Simplify f into f 13.884 * [backup-simplify]: Simplify (* f f) into (pow f 2) 13.885 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 13.885 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.885 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.885 * [taylor]: Taking taylor expansion of n in n 13.885 * [backup-simplify]: Simplify 0 into 0 13.885 * [backup-simplify]: Simplify 1 into 1 13.885 * [backup-simplify]: Simplify (* 1 1) into 1 13.886 * [backup-simplify]: Simplify (/ 1 1) into 1 13.886 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 13.886 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 13.886 * [taylor]: Taking taylor expansion of (pow f 2) in f 13.886 * [taylor]: Taking taylor expansion of f in f 13.886 * [backup-simplify]: Simplify 0 into 0 13.886 * [backup-simplify]: Simplify 1 into 1 13.887 * [backup-simplify]: Simplify (* 1 1) into 1 13.887 * [backup-simplify]: Simplify (/ 1 1) into 1 13.887 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 13.887 * [taylor]: Taking taylor expansion of (pow n 2) in f 13.887 * [taylor]: Taking taylor expansion of n in f 13.887 * [backup-simplify]: Simplify n into n 13.887 * [backup-simplify]: Simplify (* n n) into (pow n 2) 13.888 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 13.888 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 13.888 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 13.888 * [taylor]: Taking taylor expansion of (pow f 2) in f 13.888 * [taylor]: Taking taylor expansion of f in f 13.888 * [backup-simplify]: Simplify 0 into 0 13.888 * [backup-simplify]: Simplify 1 into 1 13.888 * [backup-simplify]: Simplify (* 1 1) into 1 13.889 * [backup-simplify]: Simplify (/ 1 1) into 1 13.889 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 13.889 * [taylor]: Taking taylor expansion of (pow n 2) in f 13.889 * [taylor]: Taking taylor expansion of n in f 13.889 * [backup-simplify]: Simplify n into n 13.889 * [backup-simplify]: Simplify (* n n) into (pow n 2) 13.889 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 13.890 * [backup-simplify]: Simplify (+ 1 0) into 1 13.890 * [taylor]: Taking taylor expansion of 1 in n 13.890 * [backup-simplify]: Simplify 1 into 1 13.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.892 * [backup-simplify]: Simplify (+ 0 0) into 0 13.892 * [taylor]: Taking taylor expansion of 0 in n 13.892 * [backup-simplify]: Simplify 0 into 0 13.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.895 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 13.895 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 13.895 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 13.895 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.895 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.895 * [taylor]: Taking taylor expansion of n in n 13.895 * [backup-simplify]: Simplify 0 into 0 13.895 * [backup-simplify]: Simplify 1 into 1 13.896 * [backup-simplify]: Simplify (* 1 1) into 1 13.897 * [backup-simplify]: Simplify (/ 1 1) into 1 13.897 * [backup-simplify]: Simplify (- 1) into -1 13.897 * [backup-simplify]: Simplify -1 into -1 13.897 * [backup-simplify]: Simplify 1 into 1 13.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.900 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 13.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 13.901 * [backup-simplify]: Simplify (- 0) into 0 13.902 * [backup-simplify]: Simplify (+ 0 0) into 0 13.902 * [taylor]: Taking taylor expansion of 0 in n 13.902 * [backup-simplify]: Simplify 0 into 0 13.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.904 * [backup-simplify]: Simplify (- 0) into 0 13.904 * [backup-simplify]: Simplify 0 into 0 13.904 * [backup-simplify]: Simplify 0 into 0 13.904 * [backup-simplify]: Simplify 0 into 0 13.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.908 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 13.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 13.909 * [backup-simplify]: Simplify (- 0) into 0 13.914 * [backup-simplify]: Simplify (+ 0 0) into 0 13.914 * [taylor]: Taking taylor expansion of 0 in n 13.915 * [backup-simplify]: Simplify 0 into 0 13.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.918 * [backup-simplify]: Simplify (- 0) into 0 13.918 * [backup-simplify]: Simplify 0 into 0 13.918 * [backup-simplify]: Simplify 0 into 0 13.918 * [backup-simplify]: Simplify 0 into 0 13.919 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- f)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- n))) 1) 2))) into (- (pow f 2) (pow n 2)) 13.919 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 13.919 * [backup-simplify]: Simplify (* (- f n) (- f n)) into (pow (- f n) 2) 13.919 * [approximate]: Taking taylor expansion of (pow (- f n) 2) in (f n) around 0 13.919 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 13.919 * [taylor]: Taking taylor expansion of (- f n) in n 13.919 * [taylor]: Taking taylor expansion of f in n 13.919 * [backup-simplify]: Simplify f into f 13.920 * [taylor]: Taking taylor expansion of n in n 13.920 * [backup-simplify]: Simplify 0 into 0 13.920 * [backup-simplify]: Simplify 1 into 1 13.920 * [backup-simplify]: Simplify (- 0) into 0 13.920 * [backup-simplify]: Simplify (+ f 0) into f 13.920 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 13.920 * [taylor]: Taking taylor expansion of (- f n) in f 13.920 * [taylor]: Taking taylor expansion of f in f 13.920 * [backup-simplify]: Simplify 0 into 0 13.920 * [backup-simplify]: Simplify 1 into 1 13.921 * [taylor]: Taking taylor expansion of n in f 13.921 * [backup-simplify]: Simplify n into n 13.921 * [backup-simplify]: Simplify (- n) into (- n) 13.921 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 13.921 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 13.921 * [taylor]: Taking taylor expansion of (- f n) in f 13.921 * [taylor]: Taking taylor expansion of f in f 13.921 * [backup-simplify]: Simplify 0 into 0 13.921 * [backup-simplify]: Simplify 1 into 1 13.921 * [taylor]: Taking taylor expansion of n in f 13.921 * [backup-simplify]: Simplify n into n 13.921 * [backup-simplify]: Simplify (- n) into (- n) 13.921 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 13.921 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 13.921 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.921 * [taylor]: Taking taylor expansion of n in n 13.921 * [backup-simplify]: Simplify 0 into 0 13.921 * [backup-simplify]: Simplify 1 into 1 13.922 * [backup-simplify]: Simplify (- 0) into 0 13.923 * [backup-simplify]: Simplify (+ 1 0) into 1 13.923 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 13.923 * [taylor]: Taking taylor expansion of (- (* 2 n)) in n 13.923 * [taylor]: Taking taylor expansion of (* 2 n) in n 13.923 * [taylor]: Taking taylor expansion of 2 in n 13.923 * [backup-simplify]: Simplify 2 into 2 13.923 * [taylor]: Taking taylor expansion of n in n 13.923 * [backup-simplify]: Simplify 0 into 0 13.923 * [backup-simplify]: Simplify 1 into 1 13.924 * [backup-simplify]: Simplify (* 2 0) into 0 13.924 * [backup-simplify]: Simplify (- 0) into 0 13.924 * [backup-simplify]: Simplify 0 into 0 13.925 * [backup-simplify]: Simplify (- 0) into 0 13.925 * [backup-simplify]: Simplify (+ 0 0) into 0 13.926 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 13.926 * [taylor]: Taking taylor expansion of 1 in n 13.926 * [backup-simplify]: Simplify 1 into 1 13.926 * [backup-simplify]: Simplify 1 into 1 13.927 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 13.927 * [backup-simplify]: Simplify (- 2) into -2 13.927 * [backup-simplify]: Simplify -2 into -2 13.928 * [backup-simplify]: Simplify (* 1 1) into 1 13.928 * [backup-simplify]: Simplify 1 into 1 13.929 * [backup-simplify]: Simplify (+ (* 1 (pow (* n 1) 2)) (+ (* -2 (* n f)) (* 1 (pow (* 1 f) 2)))) into (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 13.929 * [backup-simplify]: Simplify (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) into (pow (- (/ 1 f) (/ 1 n)) 2) 13.929 * [approximate]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in (f n) around 0 13.929 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 13.929 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 13.929 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.929 * [taylor]: Taking taylor expansion of f in n 13.929 * [backup-simplify]: Simplify f into f 13.929 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.929 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.929 * [taylor]: Taking taylor expansion of n in n 13.929 * [backup-simplify]: Simplify 0 into 0 13.929 * [backup-simplify]: Simplify 1 into 1 13.930 * [backup-simplify]: Simplify (/ 1 1) into 1 13.931 * [backup-simplify]: Simplify (- 1) into -1 13.931 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.931 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 13.931 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 13.931 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.931 * [taylor]: Taking taylor expansion of f in f 13.931 * [backup-simplify]: Simplify 0 into 0 13.931 * [backup-simplify]: Simplify 1 into 1 13.932 * [backup-simplify]: Simplify (/ 1 1) into 1 13.932 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.932 * [taylor]: Taking taylor expansion of n in f 13.932 * [backup-simplify]: Simplify n into n 13.932 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.933 * [backup-simplify]: Simplify (+ 1 0) into 1 13.933 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 13.933 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 13.933 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.933 * [taylor]: Taking taylor expansion of f in f 13.933 * [backup-simplify]: Simplify 0 into 0 13.933 * [backup-simplify]: Simplify 1 into 1 13.933 * [backup-simplify]: Simplify (/ 1 1) into 1 13.933 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.933 * [taylor]: Taking taylor expansion of n in f 13.933 * [backup-simplify]: Simplify n into n 13.933 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.934 * [backup-simplify]: Simplify (+ 1 0) into 1 13.934 * [backup-simplify]: Simplify (* 1 1) into 1 13.934 * [taylor]: Taking taylor expansion of 1 in n 13.935 * [backup-simplify]: Simplify 1 into 1 13.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.936 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 13.936 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 13.936 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 13.936 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 13.936 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 13.936 * [taylor]: Taking taylor expansion of 2 in n 13.936 * [backup-simplify]: Simplify 2 into 2 13.936 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.936 * [taylor]: Taking taylor expansion of n in n 13.936 * [backup-simplify]: Simplify 0 into 0 13.936 * [backup-simplify]: Simplify 1 into 1 13.937 * [backup-simplify]: Simplify (/ 1 1) into 1 13.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.939 * [backup-simplify]: Simplify (- 0) into 0 13.940 * [backup-simplify]: Simplify (+ 0 0) into 0 13.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 13.941 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.942 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.942 * [taylor]: Taking taylor expansion of n in n 13.942 * [backup-simplify]: Simplify 0 into 0 13.942 * [backup-simplify]: Simplify 1 into 1 13.942 * [backup-simplify]: Simplify (* 1 1) into 1 13.943 * [backup-simplify]: Simplify (/ 1 1) into 1 13.943 * [backup-simplify]: Simplify 1 into 1 13.944 * [backup-simplify]: Simplify (* 2 1) into 2 13.944 * [backup-simplify]: Simplify (- 2) into -2 13.944 * [backup-simplify]: Simplify -2 into -2 13.944 * [backup-simplify]: Simplify 1 into 1 13.945 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 f))) 2)) (+ (* -2 (* (/ 1 (/ 1 n)) (/ 1 (/ 1 f)))) (* 1 (pow (* (/ 1 (/ 1 n)) 1) 2)))) into (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 13.945 * [backup-simplify]: Simplify (* (- (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) into (pow (- (/ 1 n) (/ 1 f)) 2) 13.945 * [approximate]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in (f n) around 0 13.945 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 13.946 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 13.946 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.946 * [taylor]: Taking taylor expansion of n in n 13.946 * [backup-simplify]: Simplify 0 into 0 13.946 * [backup-simplify]: Simplify 1 into 1 13.946 * [backup-simplify]: Simplify (/ 1 1) into 1 13.946 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.946 * [taylor]: Taking taylor expansion of f in n 13.946 * [backup-simplify]: Simplify f into f 13.946 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.947 * [backup-simplify]: Simplify (+ 1 0) into 1 13.947 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 13.947 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 13.947 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.947 * [taylor]: Taking taylor expansion of n in f 13.947 * [backup-simplify]: Simplify n into n 13.947 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.947 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.947 * [taylor]: Taking taylor expansion of f in f 13.947 * [backup-simplify]: Simplify 0 into 0 13.947 * [backup-simplify]: Simplify 1 into 1 13.948 * [backup-simplify]: Simplify (/ 1 1) into 1 13.948 * [backup-simplify]: Simplify (- 1) into -1 13.949 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.949 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 13.949 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 13.949 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.949 * [taylor]: Taking taylor expansion of n in f 13.949 * [backup-simplify]: Simplify n into n 13.949 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.949 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.949 * [taylor]: Taking taylor expansion of f in f 13.949 * [backup-simplify]: Simplify 0 into 0 13.949 * [backup-simplify]: Simplify 1 into 1 13.950 * [backup-simplify]: Simplify (/ 1 1) into 1 13.950 * [backup-simplify]: Simplify (- 1) into -1 13.951 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.951 * [backup-simplify]: Simplify (* -1 -1) into 1 13.952 * [taylor]: Taking taylor expansion of 1 in n 13.952 * [backup-simplify]: Simplify 1 into 1 13.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.953 * [backup-simplify]: Simplify (- 0) into 0 13.953 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 13.953 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 13.953 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 13.953 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 13.953 * [taylor]: Taking taylor expansion of 2 in n 13.953 * [backup-simplify]: Simplify 2 into 2 13.953 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.953 * [taylor]: Taking taylor expansion of n in n 13.953 * [backup-simplify]: Simplify 0 into 0 13.954 * [backup-simplify]: Simplify 1 into 1 13.954 * [backup-simplify]: Simplify (/ 1 1) into 1 13.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.956 * [backup-simplify]: Simplify (- 0) into 0 13.957 * [backup-simplify]: Simplify (+ 0 0) into 0 13.958 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 13.958 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.958 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.958 * [taylor]: Taking taylor expansion of n in n 13.958 * [backup-simplify]: Simplify 0 into 0 13.958 * [backup-simplify]: Simplify 1 into 1 13.959 * [backup-simplify]: Simplify (* 1 1) into 1 13.959 * [backup-simplify]: Simplify (/ 1 1) into 1 13.959 * [backup-simplify]: Simplify 1 into 1 13.960 * [backup-simplify]: Simplify (* 2 1) into 2 13.960 * [backup-simplify]: Simplify (- 2) into -2 13.960 * [backup-simplify]: Simplify -2 into -2 13.960 * [backup-simplify]: Simplify 1 into 1 13.961 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- f)))) 2)) (+ (* -2 (* (/ 1 (/ 1 (- n))) (/ 1 (/ 1 (- f))))) (* 1 (pow (* (/ 1 (/ 1 (- n))) 1) 2)))) into (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 13.961 * * * [progress]: simplifying candidates 13.966 * [simplify]: Simplifying: (expm1 (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (log1p (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (- (log (- (- (* f f) (* n n)))) (+ (log (- f n)) (log (- f n)))) (- (log (- (- (* f f) (* n n)))) (log (* (- f n) (- f n)))) (log (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (exp (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (/ (* (* (- (- (* f f) (* n n))) (- (- (* f f) (* n n)))) (- (- (* f f) (* n n)))) (* (* (* (- f n) (- f n)) (- f n)) (* (* (- f n) (- f n)) (- f n)))) (/ (* (* (- (- (* f f) (* n n))) (- (- (* f f) (* n n)))) (- (- (* f f) (* n n)))) (* (* (* (- f n) (- f n)) (* (- f n) (- f n))) (* (- f n) (- f n)))) (* (cbrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (cbrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))))) (cbrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (* (* (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))) (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (sqrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (sqrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (- (- (- (* f f) (* n n)))) (- (* (- f n) (- f n))) (/ 0 (* (- f n) (- f n))) (/ (- (* f f) (* n n)) (* (- f n) (- f n))) (/ (* (cbrt (- (- (* f f) (* n n)))) (cbrt (- (- (* f f) (* n n))))) (- f n)) (/ (cbrt (- (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (- (* f f) (* n n)))) (- f n)) (/ 1 (- f n)) (/ (- (- (* f f) (* n n))) (- f n)) (/ -1 (- f n)) (/ (- (* f f) (* n n)) (- f n)) (/ (- (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n))))) (- f n)) (/ (cbrt (- (* f f) (* n n))) (- f n)) (/ (- (sqrt (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (* f f) (* n n))) (- f n)) (/ (- 1) (- f n)) (/ (- (* f f) (* n n)) (- f n)) (/ (- (+ f n)) (- f n)) (/ (- f n) (- f n)) (/ (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (- f n)) (/ (- (cbrt (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (* f f) (* n n))) (- f n)) (/ (- (sqrt (- (* f f) (* n n)))) (- f n)) (/ 1 (- f n)) (/ (- (- (* f f) (* n n))) (- f n)) (/ (+ f n) (- f n)) (/ (- (- f n)) (- f n)) (/ 1 (* (- f n) (- f n))) (/ (* (- f n) (- f n)) (- (- (* f f) (* n n)))) (/ (- (* f f) (* n n)) (* (- f n) (- f n))) (/ (- (- (* f f) (* n n))) (- f n)) (/ (* (- f n) (- f n)) (cbrt (- (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (sqrt (- (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (- (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (- (* f f) (* n n))) (/ (* (- f n) (- f n)) (cbrt (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (sqrt (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (- (* f f) (* n n))) (/ (* (- f n) (- f n)) (- f n)) (/ (* (- f n) (- f n)) (- (cbrt (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (- (sqrt (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (- (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (- (- f n))) (/ (- (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- (pow f 3) (pow n 3)))) (/ (- (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- (* f f) (* n n)))) (/ (- (- (* f f) (* n n))) (* (- (* f f) (* n n)) (- (pow f 3) (pow n 3)))) (/ (- (- (* f f) (* n n))) (* (- (* f f) (* n n)) (- (* f f) (* n n)))) (/ (- (- (* f f) (* n n))) (* (- f n) (- (pow f 3) (pow n 3)))) (/ (- (- (* f f) (* n n))) (* (- f n) (- (* f f) (* n n)))) (/ (- (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- f n))) (/ (- (- (* f f) (* n n))) (* (- (* f f) (* n n)) (- f n))) (* (* (- f n) (- f n)) (+ (* (* f f) (* f f)) (+ (* (* n n) (* n n)) (* (* f f) (* n n))))) (* (* (- f n) (- f n)) (+ (* f f) (* n n))) (fma f f (- (* n n))) (fma (- n) n (* n n)) (expm1 (- (* f f) (* n n))) (log1p (- (* f f) (* n n))) (- (* n n)) (/ (exp (* f f)) (exp (* n n))) (log (- (* f f) (* n n))) (exp (- (* f f) (* n n))) (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (cbrt (- (* f f) (* n n))) (* (* (- (* f f) (* n n)) (- (* f f) (* n n))) (- (* f f) (* n n))) (sqrt (- (* f f) (* n n))) (sqrt (- (* f f) (* n n))) (- (pow (* f f) 3) (pow (* n n) 3)) (+ (* (* f f) (* f f)) (+ (* (* n n) (* n n)) (* (* f f) (* n n)))) (- (* n n)) (- (* (* f f) (* f f)) (* (* n n) (* n n))) (+ (* f f) (* n n)) (+ f n) (- f n) (- (* n n)) (expm1 (* (- f n) (- f n))) (log1p (* (- f n) (- f n))) (+ 1 1) (* (- f n) (- f n)) (+ 1 1) (+ (log (- f n)) (log (- f n))) (log (* (- f n) (- f n))) (exp (* (- f n) (- f n))) (* (* (* (- f n) (- f n)) (- f n)) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (* (- f n) (- f n))) (cbrt (* (- f n) (- f n)))) (cbrt (* (- f n) (- f n))) (* (* (* (- f n) (- f n)) (* (- f n) (- f n))) (* (- f n) (- f n))) (sqrt (* (- f n) (- f n))) (sqrt (* (- f n) (- f n))) (* (- (pow f 3) (pow n 3)) (- (pow f 3) (pow n 3))) (* (+ (* f f) (+ (* n n) (* f n))) (+ (* f f) (+ (* n n) (* f n)))) (* (- (pow f 3) (pow n 3)) (- (* f f) (* n n))) (* (+ (* f f) (+ (* n n) (* f n))) (+ f n)) (* (- (* f f) (* n n)) (- (pow f 3) (pow n 3))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (- (* f f) (* n n)) (- (* f f) (* n n))) (* (+ f n) (+ f n)) (* (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (- f n))) (* (sqrt (- f n)) (sqrt (- f n))) (* (sqrt (- f n)) (sqrt (- f n))) (* 1 1) (* (- f n) (- f n)) (* 1 1) (* (- f n) (- f n)) (* (+ (sqrt f) (sqrt n)) (+ (sqrt f) (sqrt n))) (* (- (sqrt f) (sqrt n)) (- (sqrt f) (sqrt n))) (* 1 1) (* (- f n) (- f n)) (* 1 1) (* (- f n) (- f n)) (* (sqrt (- f n)) (sqrt (- f n))) (* (sqrt (- f n)) (sqrt (- f n))) (* 2 1) (* (- f n) (fma (* (cbrt f) (cbrt f)) (cbrt f) (- (* (cbrt n) (* (cbrt n) (cbrt n)))))) (* (- f n) (fma (- (cbrt n)) (* (cbrt n) (cbrt n)) (* (cbrt n) (* (cbrt n) (cbrt n))))) (* (- f n) (fma (* (cbrt f) (cbrt f)) (cbrt f) (- (* (sqrt n) (sqrt n))))) (* (- f n) (fma (- (sqrt n)) (sqrt n) (* (sqrt n) (sqrt n)))) (* (- f n) (fma (* (cbrt f) (cbrt f)) (cbrt f) (- (* n 1)))) (* (- f n) (fma (- n) 1 (* n 1))) (* (- f n) (fma (sqrt f) (sqrt f) (- (* (cbrt n) (* (cbrt n) (cbrt n)))))) (* (- f n) (fma (- (cbrt n)) (* (cbrt n) (cbrt n)) (* (cbrt n) (* (cbrt n) (cbrt n))))) (* (- f n) (fma (sqrt f) (sqrt f) (- (* (sqrt n) (sqrt n))))) (* (- f n) (fma (- (sqrt n)) (sqrt n) (* (sqrt n) (sqrt n)))) (* (- f n) (fma (sqrt f) (sqrt f) (- (* n 1)))) (* (- f n) (fma (- n) 1 (* n 1))) (* (- f n) (fma 1 f (- (* (cbrt n) (* (cbrt n) (cbrt n)))))) (* (- f n) (fma (- (cbrt n)) (* (cbrt n) (cbrt n)) (* (cbrt n) (* (cbrt n) (cbrt n))))) (* (- f n) (fma 1 f (- (* (sqrt n) (sqrt n))))) (* (- f n) (fma (- (sqrt n)) (sqrt n) (* (sqrt n) (sqrt n)))) (* (- f n) (fma 1 f (- (* n 1)))) (* (- f n) (fma (- n) 1 (* n 1))) (* (- f n) f) (* (- f n) (- n)) (* (- f n) f) (* (- f n) (- n)) (* (fma (* (cbrt f) (cbrt f)) (cbrt f) (- (* (cbrt n) (* (cbrt n) (cbrt n))))) (- f n)) (* (fma (- (cbrt n)) (* (cbrt n) (cbrt n)) (* (cbrt n) (* (cbrt n) (cbrt n)))) (- f n)) (* (fma (* (cbrt f) (cbrt f)) (cbrt f) (- (* (sqrt n) (sqrt n)))) (- f n)) (* (fma (- (sqrt n)) (sqrt n) (* (sqrt n) (sqrt n))) (- f n)) (* (fma (* (cbrt f) (cbrt f)) (cbrt f) (- (* n 1))) (- f n)) (* (fma (- n) 1 (* n 1)) (- f n)) (* (fma (sqrt f) (sqrt f) (- (* (cbrt n) (* (cbrt n) (cbrt n))))) (- f n)) (* (fma (- (cbrt n)) (* (cbrt n) (cbrt n)) (* (cbrt n) (* (cbrt n) (cbrt n)))) (- f n)) (* (fma (sqrt f) (sqrt f) (- (* (sqrt n) (sqrt n)))) (- f n)) (* (fma (- (sqrt n)) (sqrt n) (* (sqrt n) (sqrt n))) (- f n)) (* (fma (sqrt f) (sqrt f) (- (* n 1))) (- f n)) (* (fma (- n) 1 (* n 1)) (- f n)) (* (fma 1 f (- (* (cbrt n) (* (cbrt n) (cbrt n))))) (- f n)) (* (fma (- (cbrt n)) (* (cbrt n) (cbrt n)) (* (cbrt n) (* (cbrt n) (cbrt n)))) (- f n)) (* (fma 1 f (- (* (sqrt n) (sqrt n)))) (- f n)) (* (fma (- (sqrt n)) (sqrt n) (* (sqrt n) (sqrt n))) (- f n)) (* (fma 1 f (- (* n 1))) (- f n)) (* (fma (- n) 1 (* n 1)) (- f n)) (* f (- f n)) (* (- n) (- f n)) (* f (- f n)) (* (- n) (- f n)) (* (- f n) (* (cbrt (- f n)) (cbrt (- f n)))) (* (- f n) (sqrt (- f n))) (* (- f n) 1) (* (- f n) (+ (sqrt f) (sqrt n))) (* (- f n) 1) (* (cbrt (- f n)) (- f n)) (* (sqrt (- f n)) (- f n)) (* (- f n) (- f n)) (* (- (sqrt f) (sqrt n)) (- f n)) (* (- f n) (- f n)) (* (- f n) (- (pow f 3) (pow n 3))) (* (- f n) (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- f n)) (* (- (* f f) (* n n)) (- f n)) 1 -1 -1 (- (pow f 2) (pow n 2)) (- (pow f 2) (pow n 2)) (- (pow f 2) (pow n 2)) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 13.973 * * [simplify]: iteration 0: 219 enodes 14.130 * * [simplify]: iteration 1: 622 enodes 14.746 * * [simplify]: iteration 2: 1979 enodes 15.929 * * [simplify]: iteration complete: 5018 enodes 15.930 * * [simplify]: Extracting #0: cost 94 inf + 0 15.935 * * [simplify]: Extracting #1: cost 967 inf + 4 15.953 * * [simplify]: Extracting #2: cost 1389 inf + 27640 16.018 * * [simplify]: Extracting #3: cost 784 inf + 197742 16.181 * * [simplify]: Extracting #4: cost 44 inf + 387898 16.367 * * [simplify]: Extracting #5: cost 0 inf + 400076 16.562 * * [simplify]: Extracting #6: cost 0 inf + 399976 16.748 * [simplify]: Simplified to: (expm1 (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n)))) (log1p (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n)))) (log (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n)))) (log (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n)))) (log (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n)))) (exp (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n)))) (- (* (* (/ (* (+ n f) (- f n)) (* (- f n) (- f n))) (/ (* (+ n f) (- f n)) (* (- f n) (- f n)))) (/ (* (+ n f) (- f n)) (* (- f n) (- f n))))) (- (* (* (/ (* (+ n f) (- f n)) (* (- f n) (- f n))) (/ (* (+ n f) (- f n)) (* (- f n) (- f n)))) (/ (* (+ n f) (- f n)) (* (- f n) (- f n))))) (* (cbrt (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n)))) (cbrt (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n))))) (cbrt (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n)))) (- (* (* (/ (* (+ n f) (- f n)) (* (- f n) (- f n))) (/ (* (+ n f) (- f n)) (* (- f n) (- f n)))) (/ (* (+ n f) (- f n)) (* (- f n) (- f n))))) (sqrt (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n)))) (sqrt (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n)))) (* (+ n f) (- f n)) (* (- (- f n)) (- f n)) 0 (/ (* (+ n f) (- f n)) (* (- f n) (- f n))) (/ (cbrt (* (+ n f) (- (- f n)))) (/ (- f n) (cbrt (* (+ n f) (- (- f n)))))) (/ (cbrt (* (+ n f) (- (- f n)))) (- f n)) (/ (sqrt (* (+ n f) (- (- f n)))) (- f n)) (/ (sqrt (* (+ n f) (- (- f n)))) (- f n)) (/ 1 (- f n)) (/ (* (+ n f) (- (- f n))) (- f n)) (/ -1 (- f n)) (/ (* (+ n f) (- f n)) (- f n)) (/ (cbrt (* (+ n f) (- f n))) (/ (- f n) (- (cbrt (* (+ n f) (- f n)))))) (/ (cbrt (* (+ n f) (- f n))) (- f n)) (- (/ (sqrt (* (+ n f) (- f n))) (- f n))) (/ (sqrt (* (+ n f) (- f n))) (- f n)) (/ -1 (- f n)) (/ (* (+ n f) (- f n)) (- f n)) (/ (- (+ f n)) (- f n)) 1 (/ (* (cbrt (* (+ n f) (- f n))) (cbrt (* (+ n f) (- f n)))) (- f n)) (- (/ (cbrt (* (+ n f) (- f n))) (- f n))) (/ (sqrt (* (+ n f) (- f n))) (- f n)) (- (/ (sqrt (* (+ n f) (- f n))) (- f n))) (/ 1 (- f n)) (/ (* (+ n f) (- (- f n))) (- f n)) (/ (+ f n) (- f n)) -1 (/ 1 (* (- f n) (- f n))) (/ (- f n) (/ (* (+ n f) (- (- f n))) (- f n))) (/ (* (+ n f) (- f n)) (* (- f n) (- f n))) (/ (* (+ n f) (- (- f n))) (- f n)) (* (/ (- f n) (cbrt (* (+ n f) (- (- f n))))) (- f n)) (/ (- f n) (/ (sqrt (* (+ n f) (- (- f n)))) (- f n))) (/ (- f n) (/ (* (+ n f) (- (- f n))) (- f n))) (* (/ (- f n) (+ n f)) (/ (- f n) (- f n))) (/ (* (- f n) (- f n)) (cbrt (* (+ n f) (- f n)))) (* (/ (- f n) (sqrt (* (+ n f) (- f n)))) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (- f n))) (/ (- f n) 1) (/ (* (- f n) (- f n)) (- (cbrt (* (+ n f) (- f n))))) (/ (* (- f n) (- f n)) (- (sqrt (* (+ n f) (- f n))))) (/ (- f n) (/ (* (+ n f) (- (- f n))) (- f n))) (/ (* (- f n) (- f n)) (- (- f n))) (- (/ (- (/ (* f f) (- (* (* f f) f) (* n (* n n)))) (/ (* n n) (- (* (* f f) f) (* n (* n n))))) (- (* (* f f) f) (* n (* n n))))) (- (/ (/ (* (+ n f) (- f n)) (* (+ n f) (- f n))) (- (* (* f f) f) (* n (* n n))))) (- (/ (/ (* (+ n f) (- f n)) (* (+ n f) (- f n))) (- (* (* f f) f) (* n (* n n))))) (- (/ (/ (* (+ n f) (- f n)) (* (+ n f) (- f n))) (* (+ n f) (- f n)))) (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- (* (* f f) f) (* n (* n n))))) (/ (- (/ (* (+ n f) (- f n)) (* (+ n f) (- f n)))) (- f n)) (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- (* (* f f) f) (* n (* n n))))) (/ (- (/ (* (+ n f) (- f n)) (* (+ n f) (- f n)))) (- f n)) (* (* (fma (* n n) (fma f f (* n n)) (* (* f f) (* f f))) (- f n)) (- f n)) (* (* (- f n) (- f n)) (fma f f (* n n))) (* (+ n f) (- f n)) (fma n (- n) (* n n)) (expm1 (* (+ n f) (- f n))) (log1p (* (+ n f) (- f n))) (- (* n n)) (exp (- (* f f) (* n n))) (log (* (+ n f) (- f n))) (exp (- (* f f) (* n n))) (* (cbrt (* (+ n f) (- f n))) (cbrt (* (+ n f) (- f n)))) (cbrt (* (+ n f) (- f n))) (* (* (* (+ n f) (- f n)) (* (+ n f) (- f n))) (* (+ n f) (- f n))) (sqrt (* (+ n f) (- f n))) (sqrt (* (+ n f) (- f n))) (- (* (* f f) (* (* f f) (* f f))) (* (* (* n n) (* n n)) (* n n))) (fma (* n n) (fma f f (* n n)) (* (* f f) (* f f))) (- (* n n)) (- (* (* f f) (* f f)) (* (* n n) (* n n))) (fma f f (* n n)) (+ f n) (- f n) (- (* n n)) (expm1 (* (- f n) (- f n))) (log1p (* (- f n) (- f n))) 2 (* (- f n) (- f n)) 2 (log (* (- f n) (- f n))) (log (* (- f n) (- f n))) (exp (* (- f n) (- f n))) (* (* (- f n) (* (- f n) (- f n))) (* (- f n) (* (- f n) (- f n)))) (* (cbrt (* (- f n) (- f n))) (cbrt (* (- f n) (- f n)))) (cbrt (* (- f n) (- f n))) (* (* (- f n) (* (- f n) (- f n))) (* (- f n) (* (- f n) (- f n)))) (fabs (- f n)) (fabs (- f n)) (* (- (* (* f f) f) (* n (* n n))) (- (* (* f f) f) (* n (* n n)))) (* (fma n (+ f n) (* f f)) (fma n (+ f n) (* f f))) (fma (- (* (* f f) f) (* n (* n n))) (* f f) (* (- (* (* f f) f) (* n (* n n))) (- (* n n)))) (* (fma n (+ f n) (* f f)) (+ f n)) (fma (- (* (* f f) f) (* n (* n n))) (* f f) (* (- (* (* f f) f) (* n (* n n))) (- (* n n)))) (* (fma n (+ f n) (* f f)) (+ f n)) (* (* (+ n f) (- f n)) (* (+ n f) (- f n))) (* (+ f n) (+ f n)) (* (cbrt (- f n)) (- f n)) (* (cbrt (- f n)) (cbrt (- f n))) (- f n) (- f n) 1 (* (- f n) (- f n)) 1 (* (- f n) (- f n)) (* (+ (sqrt f) (sqrt n)) (+ (sqrt f) (sqrt n))) (* (- (sqrt f) (sqrt n)) (- (sqrt f) (sqrt n))) 1 (* (- f n) (- f n)) 1 (* (- f n) (- f n)) (- f n) (- f n) 2 (* (- (* (cbrt f) (* (cbrt f) (cbrt f))) n) (- f n)) (* (fma n -1 n) (- f n)) (* (- (* (cbrt f) (* (cbrt f) (cbrt f))) n) (- f n)) (* (fma n -1 n) (- f n)) (* (- (* (cbrt f) (* (cbrt f) (cbrt f))) n) (- f n)) (* (fma n -1 n) (- f n)) (* (- f n) (- f n)) (* (fma n -1 n) (- f n)) (* (- f n) (- f n)) (* (fma n -1 n) (- f n)) (* (- f n) (- f n)) (* (fma n -1 n) (- f n)) (* (- f n) (- f n)) (* (fma n -1 n) (- f n)) (* (- f n) (- f n)) (* (fma n -1 n) (- f n)) (* (- f n) (- f n)) (* (fma n -1 n) (- f n)) (* f (- f n)) (* (- (- f n)) n) (* f (- f n)) (* (- (- f n)) n) (* (- (* (cbrt f) (* (cbrt f) (cbrt f))) n) (- f n)) (* (fma n -1 n) (- f n)) (* (- (* (cbrt f) (* (cbrt f) (cbrt f))) n) (- f n)) (* (fma n -1 n) (- f n)) (* (- (* (cbrt f) (* (cbrt f) (cbrt f))) n) (- f n)) (* (fma n -1 n) (- f n)) (* (- f n) (- f n)) (* (fma n -1 n) (- f n)) (* (- f n) (- f n)) (* (fma n -1 n) (- f n)) (* (- f n) (- f n)) (* (fma n -1 n) (- f n)) (* (- f n) (- f n)) (* (fma n -1 n) (- f n)) (* (- f n) (- f n)) (* (fma n -1 n) (- f n)) (* (- f n) (- f n)) (* (fma n -1 n) (- f n)) (* f (- f n)) (* (- (- f n)) n) (* f (- f n)) (* (- (- f n)) n) (* (cbrt (- f n)) (* (cbrt (- f n)) (- f n))) (* (- f n) (sqrt (- f n))) (- f n) (* (- f n) (+ (sqrt f) (sqrt n))) (- f n) (* (cbrt (- f n)) (- f n)) (* (- f n) (sqrt (- f n))) (* (- f n) (- f n)) (* (- (sqrt f) (sqrt n)) (- f n)) (* (- f n) (- f n)) (* (- f n) (- (* (* f f) f) (* n (* n n)))) (* (* (- f n) (+ n f)) (- f n)) (* (- f n) (- (* (* f f) f) (* n (* n n)))) (* (* (- f n) (+ n f)) (- f n)) 1 -1 -1 (* (+ n f) (- f n)) (* (+ n f) (- f n)) (* (+ n f) (- f n)) (fma n n (fma f f (* -2 (* f n)))) (fma n n (fma f f (* -2 (* f n)))) (fma n n (fma f f (* -2 (* f n)))) 16.769 * * * [progress]: adding candidates to table 17.584 * * [progress]: iteration 4 / 4 17.584 * * * [progress]: picking best candidate 17.607 * * * * [pick]: Picked # 17.607 * * * [progress]: localizing error 17.669 * * * [progress]: generating rewritten candidates 17.669 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 17.729 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 17.730 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 3) 17.730 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 17.753 * * * [progress]: generating series expansions 17.753 * * * * [progress]: [ 1 / 4 ] generating series at (2) 17.754 * [backup-simplify]: Simplify (/ (- (- (* f f) (* n n))) (fma n n (fma f f (* -2 (* f n))))) into (/ (- (pow n 2) (pow f 2)) (fma n n (fma f f (* -2 (* n f))))) 17.754 * [approximate]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (fma n n (fma f f (* -2 (* n f))))) in (f n) around 0 17.754 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (fma n n (fma f f (* -2 (* n f))))) in n 17.754 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in n 17.754 * [taylor]: Taking taylor expansion of (pow n 2) in n 17.754 * [taylor]: Taking taylor expansion of n in n 17.754 * [backup-simplify]: Simplify 0 into 0 17.754 * [backup-simplify]: Simplify 1 into 1 17.754 * [taylor]: Taking taylor expansion of (pow f 2) in n 17.754 * [taylor]: Taking taylor expansion of f in n 17.754 * [backup-simplify]: Simplify f into f 17.754 * [taylor]: Taking taylor expansion of (fma n n (fma f f (* -2 (* n f)))) in n 17.758 * [taylor]: Rewrote expression to (+ (* n n) (fma f f (* -2 (* n f)))) 17.758 * [taylor]: Taking taylor expansion of (* n n) in n 17.758 * [taylor]: Taking taylor expansion of n in n 17.758 * [backup-simplify]: Simplify 0 into 0 17.758 * [backup-simplify]: Simplify 1 into 1 17.758 * [taylor]: Taking taylor expansion of n in n 17.758 * [backup-simplify]: Simplify 0 into 0 17.758 * [backup-simplify]: Simplify 1 into 1 17.758 * [taylor]: Taking taylor expansion of (fma f f (* -2 (* n f))) in n 17.758 * [taylor]: Rewrote expression to (+ (* f f) (* -2 (* n f))) 17.758 * [taylor]: Taking taylor expansion of (* f f) in n 17.758 * [taylor]: Taking taylor expansion of f in n 17.758 * [backup-simplify]: Simplify f into f 17.758 * [taylor]: Taking taylor expansion of f in n 17.758 * [backup-simplify]: Simplify f into f 17.758 * [taylor]: Taking taylor expansion of (* -2 (* n f)) in n 17.758 * [taylor]: Taking taylor expansion of -2 in n 17.758 * [backup-simplify]: Simplify -2 into -2 17.758 * [taylor]: Taking taylor expansion of (* n f) in n 17.759 * [taylor]: Taking taylor expansion of n in n 17.759 * [backup-simplify]: Simplify 0 into 0 17.759 * [backup-simplify]: Simplify 1 into 1 17.759 * [taylor]: Taking taylor expansion of f in n 17.759 * [backup-simplify]: Simplify f into f 17.759 * [backup-simplify]: Simplify (* f f) into (pow f 2) 17.759 * [backup-simplify]: Simplify (- (pow f 2)) into (- (pow f 2)) 17.759 * [backup-simplify]: Simplify (+ 0 (- (pow f 2))) into (- (pow f 2)) 17.760 * [backup-simplify]: Simplify (* 0 0) into 0 17.760 * [backup-simplify]: Simplify (* f f) into (pow f 2) 17.760 * [backup-simplify]: Simplify (* 0 f) into 0 17.761 * [backup-simplify]: Simplify (* -2 0) into 0 17.761 * [backup-simplify]: Simplify (+ (pow f 2) 0) into (pow f 2) 17.761 * [backup-simplify]: Simplify (+ 0 (pow f 2)) into (pow f 2) 17.762 * [backup-simplify]: Simplify (/ (- (pow f 2)) (pow f 2)) into -1 17.762 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (fma n n (fma f f (* -2 (* n f))))) in f 17.762 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in f 17.762 * [taylor]: Taking taylor expansion of (pow n 2) in f 17.762 * [taylor]: Taking taylor expansion of n in f 17.762 * [backup-simplify]: Simplify n into n 17.762 * [taylor]: Taking taylor expansion of (pow f 2) in f 17.762 * [taylor]: Taking taylor expansion of f in f 17.762 * [backup-simplify]: Simplify 0 into 0 17.762 * [backup-simplify]: Simplify 1 into 1 17.762 * [taylor]: Taking taylor expansion of (fma n n (fma f f (* -2 (* n f)))) in f 17.762 * [taylor]: Rewrote expression to (+ (* n n) (fma f f (* -2 (* n f)))) 17.762 * [taylor]: Taking taylor expansion of (* n n) in f 17.762 * [taylor]: Taking taylor expansion of n in f 17.762 * [backup-simplify]: Simplify n into n 17.762 * [taylor]: Taking taylor expansion of n in f 17.762 * [backup-simplify]: Simplify n into n 17.762 * [taylor]: Taking taylor expansion of (fma f f (* -2 (* n f))) in f 17.762 * [taylor]: Rewrote expression to (+ (* f f) (* -2 (* n f))) 17.763 * [taylor]: Taking taylor expansion of (* f f) in f 17.763 * [taylor]: Taking taylor expansion of f in f 17.763 * [backup-simplify]: Simplify 0 into 0 17.763 * [backup-simplify]: Simplify 1 into 1 17.763 * [taylor]: Taking taylor expansion of f in f 17.763 * [backup-simplify]: Simplify 0 into 0 17.763 * [backup-simplify]: Simplify 1 into 1 17.763 * [taylor]: Taking taylor expansion of (* -2 (* n f)) in f 17.763 * [taylor]: Taking taylor expansion of -2 in f 17.763 * [backup-simplify]: Simplify -2 into -2 17.763 * [taylor]: Taking taylor expansion of (* n f) in f 17.763 * [taylor]: Taking taylor expansion of n in f 17.763 * [backup-simplify]: Simplify n into n 17.763 * [taylor]: Taking taylor expansion of f in f 17.763 * [backup-simplify]: Simplify 0 into 0 17.763 * [backup-simplify]: Simplify 1 into 1 17.763 * [backup-simplify]: Simplify (* n n) into (pow n 2) 17.763 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 17.763 * [backup-simplify]: Simplify (* n n) into (pow n 2) 17.764 * [backup-simplify]: Simplify (* 0 0) into 0 17.764 * [backup-simplify]: Simplify (* n 0) into 0 17.765 * [backup-simplify]: Simplify (* -2 0) into 0 17.765 * [backup-simplify]: Simplify (+ 0 0) into 0 17.765 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 17.766 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 17.766 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (fma n n (fma f f (* -2 (* n f))))) in f 17.766 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in f 17.766 * [taylor]: Taking taylor expansion of (pow n 2) in f 17.766 * [taylor]: Taking taylor expansion of n in f 17.766 * [backup-simplify]: Simplify n into n 17.766 * [taylor]: Taking taylor expansion of (pow f 2) in f 17.766 * [taylor]: Taking taylor expansion of f in f 17.766 * [backup-simplify]: Simplify 0 into 0 17.766 * [backup-simplify]: Simplify 1 into 1 17.766 * [taylor]: Taking taylor expansion of (fma n n (fma f f (* -2 (* n f)))) in f 17.766 * [taylor]: Rewrote expression to (+ (* n n) (fma f f (* -2 (* n f)))) 17.766 * [taylor]: Taking taylor expansion of (* n n) in f 17.766 * [taylor]: Taking taylor expansion of n in f 17.766 * [backup-simplify]: Simplify n into n 17.766 * [taylor]: Taking taylor expansion of n in f 17.766 * [backup-simplify]: Simplify n into n 17.766 * [taylor]: Taking taylor expansion of (fma f f (* -2 (* n f))) in f 17.767 * [taylor]: Rewrote expression to (+ (* f f) (* -2 (* n f))) 17.767 * [taylor]: Taking taylor expansion of (* f f) in f 17.767 * [taylor]: Taking taylor expansion of f in f 17.767 * [backup-simplify]: Simplify 0 into 0 17.767 * [backup-simplify]: Simplify 1 into 1 17.767 * [taylor]: Taking taylor expansion of f in f 17.767 * [backup-simplify]: Simplify 0 into 0 17.767 * [backup-simplify]: Simplify 1 into 1 17.767 * [taylor]: Taking taylor expansion of (* -2 (* n f)) in f 17.767 * [taylor]: Taking taylor expansion of -2 in f 17.767 * [backup-simplify]: Simplify -2 into -2 17.767 * [taylor]: Taking taylor expansion of (* n f) in f 17.767 * [taylor]: Taking taylor expansion of n in f 17.767 * [backup-simplify]: Simplify n into n 17.767 * [taylor]: Taking taylor expansion of f in f 17.767 * [backup-simplify]: Simplify 0 into 0 17.767 * [backup-simplify]: Simplify 1 into 1 17.767 * [backup-simplify]: Simplify (* n n) into (pow n 2) 17.767 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 17.767 * [backup-simplify]: Simplify (* n n) into (pow n 2) 17.768 * [backup-simplify]: Simplify (* 0 0) into 0 17.768 * [backup-simplify]: Simplify (* n 0) into 0 17.769 * [backup-simplify]: Simplify (* -2 0) into 0 17.769 * [backup-simplify]: Simplify (+ 0 0) into 0 17.769 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 17.769 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 17.770 * [taylor]: Taking taylor expansion of 1 in n 17.770 * [backup-simplify]: Simplify 1 into 1 17.770 * [backup-simplify]: Simplify 1 into 1 17.770 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 17.770 * [backup-simplify]: Simplify (+ 0 0) into 0 17.771 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 17.771 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 17.772 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 17.781 * [backup-simplify]: Simplify (+ (* -2 n) (* 0 0)) into (- (* 2 n)) 17.782 * [backup-simplify]: Simplify (+ 0 (- (* 2 n))) into (- (* 2 n)) 17.782 * [backup-simplify]: Simplify (+ 0 (- (* 2 n))) into (- (* 2 n)) 17.782 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 n)) 17.783 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 17.783 * [taylor]: Taking taylor expansion of 2 in n 17.783 * [backup-simplify]: Simplify 2 into 2 17.783 * [taylor]: Taking taylor expansion of (/ 1 n) in n 17.783 * [taylor]: Taking taylor expansion of n in n 17.783 * [backup-simplify]: Simplify 0 into 0 17.783 * [backup-simplify]: Simplify 1 into 1 17.784 * [backup-simplify]: Simplify (/ 1 1) into 1 17.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.785 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 17.785 * [backup-simplify]: Simplify 0 into 0 17.785 * [backup-simplify]: Simplify 0 into 0 17.786 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 17.787 * [backup-simplify]: Simplify (* 1 1) into 1 17.787 * [backup-simplify]: Simplify (- 1) into -1 17.787 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.788 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 17.789 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 17.789 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 1) (* 0 0))) into 0 17.791 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 n) (* 0 0))) into 0 17.791 * [backup-simplify]: Simplify (+ 1 0) into 1 17.791 * [backup-simplify]: Simplify (+ 0 1) into 1 17.792 * [backup-simplify]: Simplify (- (/ -1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 2 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 (pow n 2))) 17.792 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 17.792 * [taylor]: Taking taylor expansion of 2 in n 17.792 * [backup-simplify]: Simplify 2 into 2 17.793 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 17.793 * [taylor]: Taking taylor expansion of (pow n 2) in n 17.793 * [taylor]: Taking taylor expansion of n in n 17.793 * [backup-simplify]: Simplify 0 into 0 17.793 * [backup-simplify]: Simplify 1 into 1 17.793 * [backup-simplify]: Simplify (* 1 1) into 1 17.794 * [backup-simplify]: Simplify (/ 1 1) into 1 17.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.799 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 17.799 * [backup-simplify]: Simplify 0 into 0 17.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.801 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 17.801 * [backup-simplify]: Simplify 0 into 0 17.801 * [backup-simplify]: Simplify 0 into 0 17.802 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 17.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.803 * [backup-simplify]: Simplify (- 0) into 0 17.804 * [backup-simplify]: Simplify (+ 0 0) into 0 17.805 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 17.806 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 17.807 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 17.808 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 n) (* 0 0)))) into 0 17.809 * [backup-simplify]: Simplify (+ 0 0) into 0 17.809 * [backup-simplify]: Simplify (+ 0 0) into 0 17.811 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 2 (/ 1 n)) (/ 1 (pow n 2))) (* (* 2 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 (pow n 3))) 17.811 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 17.811 * [taylor]: Taking taylor expansion of 2 in n 17.811 * [backup-simplify]: Simplify 2 into 2 17.811 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 17.811 * [taylor]: Taking taylor expansion of (pow n 3) in n 17.811 * [taylor]: Taking taylor expansion of n in n 17.811 * [backup-simplify]: Simplify 0 into 0 17.811 * [backup-simplify]: Simplify 1 into 1 17.811 * [backup-simplify]: Simplify (* 1 1) into 1 17.812 * [backup-simplify]: Simplify (* 1 1) into 1 17.812 * [backup-simplify]: Simplify (/ 1 1) into 1 17.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.823 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.823 * [backup-simplify]: Simplify 0 into 0 17.823 * [backup-simplify]: Simplify 1 into 1 17.824 * [backup-simplify]: Simplify (/ (- (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n)))) (fma (/ 1 n) (/ 1 n) (fma (/ 1 f) (/ 1 f) (* -2 (* (/ 1 f) (/ 1 n)))))) into (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (fma (/ 1 n) (/ 1 n) (fma (/ 1 f) (/ 1 f) (/ -2 (* n f))))) 17.824 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (fma (/ 1 n) (/ 1 n) (fma (/ 1 f) (/ 1 f) (/ -2 (* n f))))) in (f n) around 0 17.824 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (fma (/ 1 n) (/ 1 n) (fma (/ 1 f) (/ 1 f) (/ -2 (* n f))))) in n 17.824 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 17.824 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 17.824 * [taylor]: Taking taylor expansion of (pow n 2) in n 17.824 * [taylor]: Taking taylor expansion of n in n 17.824 * [backup-simplify]: Simplify 0 into 0 17.824 * [backup-simplify]: Simplify 1 into 1 17.825 * [backup-simplify]: Simplify (* 1 1) into 1 17.825 * [backup-simplify]: Simplify (/ 1 1) into 1 17.825 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 17.825 * [taylor]: Taking taylor expansion of (pow f 2) in n 17.825 * [taylor]: Taking taylor expansion of f in n 17.825 * [backup-simplify]: Simplify f into f 17.825 * [backup-simplify]: Simplify (* f f) into (pow f 2) 17.826 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 17.826 * [taylor]: Taking taylor expansion of (fma (/ 1 n) (/ 1 n) (fma (/ 1 f) (/ 1 f) (/ -2 (* n f)))) in n 17.826 * [taylor]: Rewrote expression to (+ (* (/ 1 n) (/ 1 n)) (fma (/ 1 f) (/ 1 f) (/ -2 (* n f)))) 17.826 * [taylor]: Taking taylor expansion of (* (/ 1 n) (/ 1 n)) in n 17.826 * [taylor]: Taking taylor expansion of (/ 1 n) in n 17.826 * [taylor]: Taking taylor expansion of n in n 17.826 * [backup-simplify]: Simplify 0 into 0 17.826 * [backup-simplify]: Simplify 1 into 1 17.827 * [backup-simplify]: Simplify (/ 1 1) into 1 17.827 * [taylor]: Taking taylor expansion of (/ 1 n) in n 17.827 * [taylor]: Taking taylor expansion of n in n 17.827 * [backup-simplify]: Simplify 0 into 0 17.827 * [backup-simplify]: Simplify 1 into 1 17.827 * [backup-simplify]: Simplify (/ 1 1) into 1 17.827 * [taylor]: Taking taylor expansion of (fma (/ 1 f) (/ 1 f) (/ -2 (* n f))) in n 17.828 * [taylor]: Rewrote expression to (+ (* (/ 1 f) (/ 1 f)) (/ -2 (* n f))) 17.828 * [taylor]: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in n 17.828 * [taylor]: Taking taylor expansion of (/ 1 f) in n 17.828 * [taylor]: Taking taylor expansion of f in n 17.828 * [backup-simplify]: Simplify f into f 17.828 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 17.828 * [taylor]: Taking taylor expansion of (/ 1 f) in n 17.828 * [taylor]: Taking taylor expansion of f in n 17.828 * [backup-simplify]: Simplify f into f 17.828 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 17.828 * [taylor]: Taking taylor expansion of (/ -2 (* n f)) in n 17.828 * [taylor]: Taking taylor expansion of -2 in n 17.828 * [backup-simplify]: Simplify -2 into -2 17.828 * [taylor]: Taking taylor expansion of (* n f) in n 17.828 * [taylor]: Taking taylor expansion of n in n 17.828 * [backup-simplify]: Simplify 0 into 0 17.828 * [backup-simplify]: Simplify 1 into 1 17.828 * [taylor]: Taking taylor expansion of f in n 17.828 * [backup-simplify]: Simplify f into f 17.828 * [backup-simplify]: Simplify (* 0 f) into 0 17.829 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 f)) into f 17.829 * [backup-simplify]: Simplify (/ -2 f) into (/ -2 f) 17.829 * [backup-simplify]: Simplify (+ 1 0) into 1 17.830 * [backup-simplify]: Simplify (* 1 1) into 1 17.830 * [backup-simplify]: Simplify (+ 1 0) into 1 17.831 * [backup-simplify]: Simplify (/ 1 1) into 1 17.831 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (fma (/ 1 n) (/ 1 n) (fma (/ 1 f) (/ 1 f) (/ -2 (* n f))))) in f 17.831 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 17.831 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 17.831 * [taylor]: Taking taylor expansion of (pow n 2) in f 17.831 * [taylor]: Taking taylor expansion of n in f 17.831 * [backup-simplify]: Simplify n into n 17.831 * [backup-simplify]: Simplify (* n n) into (pow n 2) 17.831 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 17.831 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 17.831 * [taylor]: Taking taylor expansion of (pow f 2) in f 17.832 * [taylor]: Taking taylor expansion of f in f 17.832 * [backup-simplify]: Simplify 0 into 0 17.832 * [backup-simplify]: Simplify 1 into 1 17.832 * [backup-simplify]: Simplify (* 1 1) into 1 17.832 * [backup-simplify]: Simplify (/ 1 1) into 1 17.833 * [taylor]: Taking taylor expansion of (fma (/ 1 n) (/ 1 n) (fma (/ 1 f) (/ 1 f) (/ -2 (* n f)))) in f 17.833 * [taylor]: Rewrote expression to (+ (* (/ 1 n) (/ 1 n)) (fma (/ 1 f) (/ 1 f) (/ -2 (* n f)))) 17.833 * [taylor]: Taking taylor expansion of (* (/ 1 n) (/ 1 n)) in f 17.833 * [taylor]: Taking taylor expansion of (/ 1 n) in f 17.833 * [taylor]: Taking taylor expansion of n in f 17.833 * [backup-simplify]: Simplify n into n 17.833 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 17.833 * [taylor]: Taking taylor expansion of (/ 1 n) in f 17.833 * [taylor]: Taking taylor expansion of n in f 17.833 * [backup-simplify]: Simplify n into n 17.833 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 17.833 * [taylor]: Taking taylor expansion of (fma (/ 1 f) (/ 1 f) (/ -2 (* n f))) in f 17.833 * [taylor]: Rewrote expression to (+ (* (/ 1 f) (/ 1 f)) (/ -2 (* n f))) 17.833 * [taylor]: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f 17.833 * [taylor]: Taking taylor expansion of (/ 1 f) in f 17.833 * [taylor]: Taking taylor expansion of f in f 17.833 * [backup-simplify]: Simplify 0 into 0 17.833 * [backup-simplify]: Simplify 1 into 1 17.834 * [backup-simplify]: Simplify (/ 1 1) into 1 17.834 * [taylor]: Taking taylor expansion of (/ 1 f) in f 17.834 * [taylor]: Taking taylor expansion of f in f 17.834 * [backup-simplify]: Simplify 0 into 0 17.834 * [backup-simplify]: Simplify 1 into 1 17.835 * [backup-simplify]: Simplify (/ 1 1) into 1 17.835 * [taylor]: Taking taylor expansion of (/ -2 (* n f)) in f 17.835 * [taylor]: Taking taylor expansion of -2 in f 17.835 * [backup-simplify]: Simplify -2 into -2 17.835 * [taylor]: Taking taylor expansion of (* n f) in f 17.835 * [taylor]: Taking taylor expansion of n in f 17.835 * [backup-simplify]: Simplify n into n 17.835 * [taylor]: Taking taylor expansion of f in f 17.835 * [backup-simplify]: Simplify 0 into 0 17.835 * [backup-simplify]: Simplify 1 into 1 17.835 * [backup-simplify]: Simplify (* n 0) into 0 17.835 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 17.836 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 17.836 * [backup-simplify]: Simplify (- 1) into -1 17.836 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.837 * [backup-simplify]: Simplify (* 1 1) into 1 17.837 * [backup-simplify]: Simplify (+ 1 0) into 1 17.838 * [backup-simplify]: Simplify (+ 0 1) into 1 17.838 * [backup-simplify]: Simplify (/ -1 1) into -1 17.839 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (fma (/ 1 n) (/ 1 n) (fma (/ 1 f) (/ 1 f) (/ -2 (* n f))))) in f 17.839 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 17.839 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 17.839 * [taylor]: Taking taylor expansion of (pow n 2) in f 17.839 * [taylor]: Taking taylor expansion of n in f 17.839 * [backup-simplify]: Simplify n into n 17.839 * [backup-simplify]: Simplify (* n n) into (pow n 2) 17.839 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 17.839 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 17.839 * [taylor]: Taking taylor expansion of (pow f 2) in f 17.839 * [taylor]: Taking taylor expansion of f in f 17.839 * [backup-simplify]: Simplify 0 into 0 17.839 * [backup-simplify]: Simplify 1 into 1 17.840 * [backup-simplify]: Simplify (* 1 1) into 1 17.840 * [backup-simplify]: Simplify (/ 1 1) into 1 17.840 * [taylor]: Taking taylor expansion of (fma (/ 1 n) (/ 1 n) (fma (/ 1 f) (/ 1 f) (/ -2 (* n f)))) in f 17.840 * [taylor]: Rewrote expression to (+ (* (/ 1 n) (/ 1 n)) (fma (/ 1 f) (/ 1 f) (/ -2 (* n f)))) 17.840 * [taylor]: Taking taylor expansion of (* (/ 1 n) (/ 1 n)) in f 17.840 * [taylor]: Taking taylor expansion of (/ 1 n) in f 17.840 * [taylor]: Taking taylor expansion of n in f 17.840 * [backup-simplify]: Simplify n into n 17.841 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 17.841 * [taylor]: Taking taylor expansion of (/ 1 n) in f 17.841 * [taylor]: Taking taylor expansion of n in f 17.841 * [backup-simplify]: Simplify n into n 17.841 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 17.841 * [taylor]: Taking taylor expansion of (fma (/ 1 f) (/ 1 f) (/ -2 (* n f))) in f 17.841 * [taylor]: Rewrote expression to (+ (* (/ 1 f) (/ 1 f)) (/ -2 (* n f))) 17.841 * [taylor]: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f 17.841 * [taylor]: Taking taylor expansion of (/ 1 f) in f 17.841 * [taylor]: Taking taylor expansion of f in f 17.841 * [backup-simplify]: Simplify 0 into 0 17.841 * [backup-simplify]: Simplify 1 into 1 17.842 * [backup-simplify]: Simplify (/ 1 1) into 1 17.842 * [taylor]: Taking taylor expansion of (/ 1 f) in f 17.842 * [taylor]: Taking taylor expansion of f in f 17.842 * [backup-simplify]: Simplify 0 into 0 17.842 * [backup-simplify]: Simplify 1 into 1 17.842 * [backup-simplify]: Simplify (/ 1 1) into 1 17.842 * [taylor]: Taking taylor expansion of (/ -2 (* n f)) in f 17.842 * [taylor]: Taking taylor expansion of -2 in f 17.842 * [backup-simplify]: Simplify -2 into -2 17.842 * [taylor]: Taking taylor expansion of (* n f) in f 17.842 * [taylor]: Taking taylor expansion of n in f 17.842 * [backup-simplify]: Simplify n into n 17.842 * [taylor]: Taking taylor expansion of f in f 17.843 * [backup-simplify]: Simplify 0 into 0 17.843 * [backup-simplify]: Simplify 1 into 1 17.843 * [backup-simplify]: Simplify (* n 0) into 0 17.843 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 17.843 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 17.844 * [backup-simplify]: Simplify (- 1) into -1 17.844 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.845 * [backup-simplify]: Simplify (* 1 1) into 1 17.845 * [backup-simplify]: Simplify (+ 1 0) into 1 17.846 * [backup-simplify]: Simplify (+ 0 1) into 1 17.846 * [backup-simplify]: Simplify (/ -1 1) into -1 17.846 * [taylor]: Taking taylor expansion of -1 in n 17.846 * [backup-simplify]: Simplify -1 into -1 17.846 * [backup-simplify]: Simplify -1 into -1 17.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.848 * [backup-simplify]: Simplify (- 0) into 0 17.849 * [backup-simplify]: Simplify (+ 0 0) into 0 17.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.851 * [backup-simplify]: Simplify (+ 0 (/ -2 n)) into (- (* 2 (/ 1 n))) 17.851 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 17.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 17.852 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 17.852 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 17.852 * [taylor]: Taking taylor expansion of 2 in n 17.852 * [backup-simplify]: Simplify 2 into 2 17.852 * [taylor]: Taking taylor expansion of (/ 1 n) in n 17.852 * [taylor]: Taking taylor expansion of n in n 17.852 * [backup-simplify]: Simplify 0 into 0 17.852 * [backup-simplify]: Simplify 1 into 1 17.853 * [backup-simplify]: Simplify (/ 1 1) into 1 17.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.854 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 17.855 * [backup-simplify]: Simplify (- 0) into 0 17.855 * [backup-simplify]: Simplify 0 into 0 17.855 * [backup-simplify]: Simplify 0 into 0 17.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.858 * [backup-simplify]: Simplify (- 0) into 0 17.858 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 17.858 * [backup-simplify]: Simplify (* (/ 1 n) (/ 1 n)) into (/ 1 (pow n 2)) 17.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.863 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 1) (* 0 0))) into 0 17.863 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 17.864 * [backup-simplify]: Simplify (+ 0 0) into 0 17.864 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 17.865 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* -1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 17.865 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 17.865 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 17.865 * [taylor]: Taking taylor expansion of 2 in n 17.865 * [backup-simplify]: Simplify 2 into 2 17.865 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 17.865 * [taylor]: Taking taylor expansion of (pow n 2) in n 17.865 * [taylor]: Taking taylor expansion of n in n 17.865 * [backup-simplify]: Simplify 0 into 0 17.865 * [backup-simplify]: Simplify 1 into 1 17.866 * [backup-simplify]: Simplify (* 1 1) into 1 17.867 * [backup-simplify]: Simplify (/ 1 1) into 1 17.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.872 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 17.872 * [backup-simplify]: Simplify (- 0) into 0 17.872 * [backup-simplify]: Simplify 0 into 0 17.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.874 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 17.875 * [backup-simplify]: Simplify (- 0) into 0 17.875 * [backup-simplify]: Simplify 0 into 0 17.875 * [backup-simplify]: Simplify 0 into 0 17.875 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 17.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 17.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.878 * [backup-simplify]: Simplify (- 0) into 0 17.879 * [backup-simplify]: Simplify (+ 0 0) into 0 17.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 17.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 17.879 * [backup-simplify]: Simplify (+ (* (/ 1 n) 0) (* 0 (/ 1 n))) into 0 17.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.884 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 17.884 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 17.884 * [backup-simplify]: Simplify (+ 0 0) into 0 17.885 * [backup-simplify]: Simplify (+ 0 0) into 0 17.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 17.887 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 17.887 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 17.887 * [taylor]: Taking taylor expansion of 2 in n 17.887 * [backup-simplify]: Simplify 2 into 2 17.887 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 17.887 * [taylor]: Taking taylor expansion of (pow n 3) in n 17.887 * [taylor]: Taking taylor expansion of n in n 17.887 * [backup-simplify]: Simplify 0 into 0 17.887 * [backup-simplify]: Simplify 1 into 1 17.888 * [backup-simplify]: Simplify (* 1 1) into 1 17.889 * [backup-simplify]: Simplify (* 1 1) into 1 17.889 * [backup-simplify]: Simplify (/ 1 1) into 1 17.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.899 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.900 * [backup-simplify]: Simplify (- 0) into 0 17.900 * [backup-simplify]: Simplify 0 into 0 17.900 * [backup-simplify]: Simplify -1 into -1 17.901 * [backup-simplify]: Simplify (/ (- (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n))))) (fma (/ 1 (- n)) (/ 1 (- n)) (fma (/ 1 (- f)) (/ 1 (- f)) (* -2 (* (/ 1 (- f)) (/ 1 (- n))))))) into (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (fma (/ -1 n) (/ -1 n) (fma (/ -1 f) (/ -1 f) (/ -2 (* n f))))) 17.901 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (fma (/ -1 n) (/ -1 n) (fma (/ -1 f) (/ -1 f) (/ -2 (* n f))))) in (f n) around 0 17.901 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (fma (/ -1 n) (/ -1 n) (fma (/ -1 f) (/ -1 f) (/ -2 (* n f))))) in n 17.901 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 17.901 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 17.901 * [taylor]: Taking taylor expansion of (pow n 2) in n 17.901 * [taylor]: Taking taylor expansion of n in n 17.901 * [backup-simplify]: Simplify 0 into 0 17.901 * [backup-simplify]: Simplify 1 into 1 17.902 * [backup-simplify]: Simplify (* 1 1) into 1 17.902 * [backup-simplify]: Simplify (/ 1 1) into 1 17.902 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 17.902 * [taylor]: Taking taylor expansion of (pow f 2) in n 17.903 * [taylor]: Taking taylor expansion of f in n 17.903 * [backup-simplify]: Simplify f into f 17.903 * [backup-simplify]: Simplify (* f f) into (pow f 2) 17.903 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 17.903 * [taylor]: Taking taylor expansion of (fma (/ -1 n) (/ -1 n) (fma (/ -1 f) (/ -1 f) (/ -2 (* n f)))) in n 17.903 * [taylor]: Rewrote expression to (+ (* (/ -1 n) (/ -1 n)) (fma (/ -1 f) (/ -1 f) (/ -2 (* n f)))) 17.903 * [taylor]: Taking taylor expansion of (* (/ -1 n) (/ -1 n)) in n 17.903 * [taylor]: Taking taylor expansion of (/ -1 n) in n 17.903 * [taylor]: Taking taylor expansion of -1 in n 17.903 * [backup-simplify]: Simplify -1 into -1 17.903 * [taylor]: Taking taylor expansion of n in n 17.903 * [backup-simplify]: Simplify 0 into 0 17.903 * [backup-simplify]: Simplify 1 into 1 17.904 * [backup-simplify]: Simplify (/ -1 1) into -1 17.904 * [taylor]: Taking taylor expansion of (/ -1 n) in n 17.904 * [taylor]: Taking taylor expansion of -1 in n 17.904 * [backup-simplify]: Simplify -1 into -1 17.904 * [taylor]: Taking taylor expansion of n in n 17.904 * [backup-simplify]: Simplify 0 into 0 17.904 * [backup-simplify]: Simplify 1 into 1 17.905 * [backup-simplify]: Simplify (/ -1 1) into -1 17.905 * [taylor]: Taking taylor expansion of (fma (/ -1 f) (/ -1 f) (/ -2 (* n f))) in n 17.905 * [taylor]: Rewrote expression to (+ (* (/ -1 f) (/ -1 f)) (/ -2 (* n f))) 17.905 * [taylor]: Taking taylor expansion of (* (/ -1 f) (/ -1 f)) in n 17.905 * [taylor]: Taking taylor expansion of (/ -1 f) in n 17.905 * [taylor]: Taking taylor expansion of -1 in n 17.905 * [backup-simplify]: Simplify -1 into -1 17.905 * [taylor]: Taking taylor expansion of f in n 17.905 * [backup-simplify]: Simplify f into f 17.905 * [backup-simplify]: Simplify (/ -1 f) into (/ -1 f) 17.905 * [taylor]: Taking taylor expansion of (/ -1 f) in n 17.905 * [taylor]: Taking taylor expansion of -1 in n 17.905 * [backup-simplify]: Simplify -1 into -1 17.905 * [taylor]: Taking taylor expansion of f in n 17.905 * [backup-simplify]: Simplify f into f 17.905 * [backup-simplify]: Simplify (/ -1 f) into (/ -1 f) 17.905 * [taylor]: Taking taylor expansion of (/ -2 (* n f)) in n 17.906 * [taylor]: Taking taylor expansion of -2 in n 17.906 * [backup-simplify]: Simplify -2 into -2 17.906 * [taylor]: Taking taylor expansion of (* n f) in n 17.906 * [taylor]: Taking taylor expansion of n in n 17.906 * [backup-simplify]: Simplify 0 into 0 17.906 * [backup-simplify]: Simplify 1 into 1 17.906 * [taylor]: Taking taylor expansion of f in n 17.906 * [backup-simplify]: Simplify f into f 17.906 * [backup-simplify]: Simplify (* 0 f) into 0 17.907 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 f)) into f 17.907 * [backup-simplify]: Simplify (/ -2 f) into (/ -2 f) 17.907 * [backup-simplify]: Simplify (+ 1 0) into 1 17.908 * [backup-simplify]: Simplify (* -1 -1) into 1 17.908 * [backup-simplify]: Simplify (+ 1 0) into 1 17.909 * [backup-simplify]: Simplify (/ 1 1) into 1 17.909 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (fma (/ -1 n) (/ -1 n) (fma (/ -1 f) (/ -1 f) (/ -2 (* n f))))) in f 17.909 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 17.909 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 17.909 * [taylor]: Taking taylor expansion of (pow n 2) in f 17.909 * [taylor]: Taking taylor expansion of n in f 17.909 * [backup-simplify]: Simplify n into n 17.909 * [backup-simplify]: Simplify (* n n) into (pow n 2) 17.909 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 17.909 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 17.909 * [taylor]: Taking taylor expansion of (pow f 2) in f 17.909 * [taylor]: Taking taylor expansion of f in f 17.909 * [backup-simplify]: Simplify 0 into 0 17.909 * [backup-simplify]: Simplify 1 into 1 17.910 * [backup-simplify]: Simplify (* 1 1) into 1 17.910 * [backup-simplify]: Simplify (/ 1 1) into 1 17.910 * [taylor]: Taking taylor expansion of (fma (/ -1 n) (/ -1 n) (fma (/ -1 f) (/ -1 f) (/ -2 (* n f)))) in f 17.911 * [taylor]: Rewrote expression to (+ (* (/ -1 n) (/ -1 n)) (fma (/ -1 f) (/ -1 f) (/ -2 (* n f)))) 17.911 * [taylor]: Taking taylor expansion of (* (/ -1 n) (/ -1 n)) in f 17.911 * [taylor]: Taking taylor expansion of (/ -1 n) in f 17.911 * [taylor]: Taking taylor expansion of -1 in f 17.911 * [backup-simplify]: Simplify -1 into -1 17.911 * [taylor]: Taking taylor expansion of n in f 17.911 * [backup-simplify]: Simplify n into n 17.911 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 17.911 * [taylor]: Taking taylor expansion of (/ -1 n) in f 17.911 * [taylor]: Taking taylor expansion of -1 in f 17.911 * [backup-simplify]: Simplify -1 into -1 17.911 * [taylor]: Taking taylor expansion of n in f 17.911 * [backup-simplify]: Simplify n into n 17.911 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 17.911 * [taylor]: Taking taylor expansion of (fma (/ -1 f) (/ -1 f) (/ -2 (* n f))) in f 17.911 * [taylor]: Rewrote expression to (+ (* (/ -1 f) (/ -1 f)) (/ -2 (* n f))) 17.911 * [taylor]: Taking taylor expansion of (* (/ -1 f) (/ -1 f)) in f 17.911 * [taylor]: Taking taylor expansion of (/ -1 f) in f 17.911 * [taylor]: Taking taylor expansion of -1 in f 17.911 * [backup-simplify]: Simplify -1 into -1 17.911 * [taylor]: Taking taylor expansion of f in f 17.911 * [backup-simplify]: Simplify 0 into 0 17.911 * [backup-simplify]: Simplify 1 into 1 17.912 * [backup-simplify]: Simplify (/ -1 1) into -1 17.912 * [taylor]: Taking taylor expansion of (/ -1 f) in f 17.912 * [taylor]: Taking taylor expansion of -1 in f 17.912 * [backup-simplify]: Simplify -1 into -1 17.912 * [taylor]: Taking taylor expansion of f in f 17.912 * [backup-simplify]: Simplify 0 into 0 17.912 * [backup-simplify]: Simplify 1 into 1 17.913 * [backup-simplify]: Simplify (/ -1 1) into -1 17.913 * [taylor]: Taking taylor expansion of (/ -2 (* n f)) in f 17.913 * [taylor]: Taking taylor expansion of -2 in f 17.913 * [backup-simplify]: Simplify -2 into -2 17.913 * [taylor]: Taking taylor expansion of (* n f) in f 17.913 * [taylor]: Taking taylor expansion of n in f 17.913 * [backup-simplify]: Simplify n into n 17.913 * [taylor]: Taking taylor expansion of f in f 17.913 * [backup-simplify]: Simplify 0 into 0 17.913 * [backup-simplify]: Simplify 1 into 1 17.913 * [backup-simplify]: Simplify (* n 0) into 0 17.913 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 17.913 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 17.914 * [backup-simplify]: Simplify (- 1) into -1 17.914 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.915 * [backup-simplify]: Simplify (* -1 -1) into 1 17.915 * [backup-simplify]: Simplify (+ 1 0) into 1 17.916 * [backup-simplify]: Simplify (+ 0 1) into 1 17.916 * [backup-simplify]: Simplify (/ -1 1) into -1 17.916 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (fma (/ -1 n) (/ -1 n) (fma (/ -1 f) (/ -1 f) (/ -2 (* n f))))) in f 17.916 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 17.916 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 17.916 * [taylor]: Taking taylor expansion of (pow n 2) in f 17.916 * [taylor]: Taking taylor expansion of n in f 17.916 * [backup-simplify]: Simplify n into n 17.916 * [backup-simplify]: Simplify (* n n) into (pow n 2) 17.917 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 17.917 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 17.917 * [taylor]: Taking taylor expansion of (pow f 2) in f 17.917 * [taylor]: Taking taylor expansion of f in f 17.917 * [backup-simplify]: Simplify 0 into 0 17.917 * [backup-simplify]: Simplify 1 into 1 17.917 * [backup-simplify]: Simplify (* 1 1) into 1 17.918 * [backup-simplify]: Simplify (/ 1 1) into 1 17.918 * [taylor]: Taking taylor expansion of (fma (/ -1 n) (/ -1 n) (fma (/ -1 f) (/ -1 f) (/ -2 (* n f)))) in f 17.918 * [taylor]: Rewrote expression to (+ (* (/ -1 n) (/ -1 n)) (fma (/ -1 f) (/ -1 f) (/ -2 (* n f)))) 17.918 * [taylor]: Taking taylor expansion of (* (/ -1 n) (/ -1 n)) in f 17.918 * [taylor]: Taking taylor expansion of (/ -1 n) in f 17.918 * [taylor]: Taking taylor expansion of -1 in f 17.918 * [backup-simplify]: Simplify -1 into -1 17.918 * [taylor]: Taking taylor expansion of n in f 17.918 * [backup-simplify]: Simplify n into n 17.918 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 17.918 * [taylor]: Taking taylor expansion of (/ -1 n) in f 17.918 * [taylor]: Taking taylor expansion of -1 in f 17.918 * [backup-simplify]: Simplify -1 into -1 17.918 * [taylor]: Taking taylor expansion of n in f 17.919 * [backup-simplify]: Simplify n into n 17.919 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 17.919 * [taylor]: Taking taylor expansion of (fma (/ -1 f) (/ -1 f) (/ -2 (* n f))) in f 17.919 * [taylor]: Rewrote expression to (+ (* (/ -1 f) (/ -1 f)) (/ -2 (* n f))) 17.919 * [taylor]: Taking taylor expansion of (* (/ -1 f) (/ -1 f)) in f 17.919 * [taylor]: Taking taylor expansion of (/ -1 f) in f 17.919 * [taylor]: Taking taylor expansion of -1 in f 17.919 * [backup-simplify]: Simplify -1 into -1 17.919 * [taylor]: Taking taylor expansion of f in f 17.919 * [backup-simplify]: Simplify 0 into 0 17.919 * [backup-simplify]: Simplify 1 into 1 17.920 * [backup-simplify]: Simplify (/ -1 1) into -1 17.920 * [taylor]: Taking taylor expansion of (/ -1 f) in f 17.920 * [taylor]: Taking taylor expansion of -1 in f 17.920 * [backup-simplify]: Simplify -1 into -1 17.920 * [taylor]: Taking taylor expansion of f in f 17.920 * [backup-simplify]: Simplify 0 into 0 17.920 * [backup-simplify]: Simplify 1 into 1 17.921 * [backup-simplify]: Simplify (/ -1 1) into -1 17.921 * [taylor]: Taking taylor expansion of (/ -2 (* n f)) in f 17.921 * [taylor]: Taking taylor expansion of -2 in f 17.921 * [backup-simplify]: Simplify -2 into -2 17.921 * [taylor]: Taking taylor expansion of (* n f) in f 17.921 * [taylor]: Taking taylor expansion of n in f 17.921 * [backup-simplify]: Simplify n into n 17.921 * [taylor]: Taking taylor expansion of f in f 17.921 * [backup-simplify]: Simplify 0 into 0 17.921 * [backup-simplify]: Simplify 1 into 1 17.921 * [backup-simplify]: Simplify (* n 0) into 0 17.922 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 17.922 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 17.922 * [backup-simplify]: Simplify (- 1) into -1 17.923 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.923 * [backup-simplify]: Simplify (* -1 -1) into 1 17.924 * [backup-simplify]: Simplify (+ 1 0) into 1 17.924 * [backup-simplify]: Simplify (+ 0 1) into 1 17.925 * [backup-simplify]: Simplify (/ -1 1) into -1 17.925 * [taylor]: Taking taylor expansion of -1 in n 17.925 * [backup-simplify]: Simplify -1 into -1 17.925 * [backup-simplify]: Simplify -1 into -1 17.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.927 * [backup-simplify]: Simplify (- 0) into 0 17.927 * [backup-simplify]: Simplify (+ 0 0) into 0 17.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 17.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 17.930 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 17.930 * [backup-simplify]: Simplify (+ 0 (/ -2 n)) into (- (* 2 (/ 1 n))) 17.930 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 17.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 17.931 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 17.931 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 17.931 * [taylor]: Taking taylor expansion of 2 in n 17.931 * [backup-simplify]: Simplify 2 into 2 17.931 * [taylor]: Taking taylor expansion of (/ 1 n) in n 17.931 * [taylor]: Taking taylor expansion of n in n 17.931 * [backup-simplify]: Simplify 0 into 0 17.931 * [backup-simplify]: Simplify 1 into 1 17.931 * [backup-simplify]: Simplify (/ 1 1) into 1 17.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.933 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 17.934 * [backup-simplify]: Simplify (- 0) into 0 17.934 * [backup-simplify]: Simplify 0 into 0 17.934 * [backup-simplify]: Simplify 0 into 0 17.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.936 * [backup-simplify]: Simplify (- 0) into 0 17.936 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 17.937 * [backup-simplify]: Simplify (* (/ -1 n) (/ -1 n)) into (/ 1 (pow n 2)) 17.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.940 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 17.941 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 1) (* 0 0))) into 0 17.941 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 17.942 * [backup-simplify]: Simplify (+ 0 0) into 0 17.942 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 17.943 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* -1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 17.943 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 17.943 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 17.943 * [taylor]: Taking taylor expansion of 2 in n 17.943 * [backup-simplify]: Simplify 2 into 2 17.943 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 17.943 * [taylor]: Taking taylor expansion of (pow n 2) in n 17.943 * [taylor]: Taking taylor expansion of n in n 17.943 * [backup-simplify]: Simplify 0 into 0 17.943 * [backup-simplify]: Simplify 1 into 1 17.944 * [backup-simplify]: Simplify (* 1 1) into 1 17.945 * [backup-simplify]: Simplify (/ 1 1) into 1 17.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.950 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 17.951 * [backup-simplify]: Simplify (- 0) into 0 17.951 * [backup-simplify]: Simplify 0 into 0 17.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.953 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 17.953 * [backup-simplify]: Simplify (- 0) into 0 17.953 * [backup-simplify]: Simplify 0 into 0 17.954 * [backup-simplify]: Simplify 0 into 0 17.954 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 17.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 17.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.957 * [backup-simplify]: Simplify (- 0) into 0 17.958 * [backup-simplify]: Simplify (+ 0 0) into 0 17.958 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0 17.958 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0 17.959 * [backup-simplify]: Simplify (+ (* (/ -1 n) 0) (* 0 (/ -1 n))) into 0 17.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.968 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 17.969 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 17.969 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 17.970 * [backup-simplify]: Simplify (+ 0 0) into 0 17.970 * [backup-simplify]: Simplify (+ 0 0) into 0 17.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 17.972 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 17.973 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 17.973 * [taylor]: Taking taylor expansion of 2 in n 17.973 * [backup-simplify]: Simplify 2 into 2 17.973 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 17.973 * [taylor]: Taking taylor expansion of (pow n 3) in n 17.973 * [taylor]: Taking taylor expansion of n in n 17.973 * [backup-simplify]: Simplify 0 into 0 17.973 * [backup-simplify]: Simplify 1 into 1 17.973 * [backup-simplify]: Simplify (* 1 1) into 1 17.974 * [backup-simplify]: Simplify (* 1 1) into 1 17.974 * [backup-simplify]: Simplify (/ 1 1) into 1 17.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.982 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.982 * [backup-simplify]: Simplify (- 0) into 0 17.983 * [backup-simplify]: Simplify 0 into 0 17.983 * [backup-simplify]: Simplify -1 into -1 17.983 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 17.983 * [backup-simplify]: Simplify (fma n n (fma f f (* -2 (* f n)))) into (fma n n (fma f f (* -2 (* n f)))) 17.983 * [approximate]: Taking taylor expansion of (fma n n (fma f f (* -2 (* n f)))) in (n f) around 0 17.983 * [taylor]: Taking taylor expansion of (fma n n (fma f f (* -2 (* n f)))) in f 17.983 * [taylor]: Rewrote expression to (+ (* n n) (fma f f (* -2 (* n f)))) 17.983 * [taylor]: Taking taylor expansion of (* n n) in f 17.984 * [taylor]: Taking taylor expansion of n in f 17.984 * [backup-simplify]: Simplify n into n 17.984 * [taylor]: Taking taylor expansion of n in f 17.984 * [backup-simplify]: Simplify n into n 17.984 * [taylor]: Taking taylor expansion of (fma f f (* -2 (* n f))) in f 17.984 * [taylor]: Rewrote expression to (+ (* f f) (* -2 (* n f))) 17.984 * [taylor]: Taking taylor expansion of (* f f) in f 17.984 * [taylor]: Taking taylor expansion of f in f 17.984 * [backup-simplify]: Simplify 0 into 0 17.984 * [backup-simplify]: Simplify 1 into 1 17.984 * [taylor]: Taking taylor expansion of f in f 17.984 * [backup-simplify]: Simplify 0 into 0 17.984 * [backup-simplify]: Simplify 1 into 1 17.984 * [taylor]: Taking taylor expansion of (* -2 (* n f)) in f 17.984 * [taylor]: Taking taylor expansion of -2 in f 17.984 * [backup-simplify]: Simplify -2 into -2 17.984 * [taylor]: Taking taylor expansion of (* n f) in f 17.984 * [taylor]: Taking taylor expansion of n in f 17.984 * [backup-simplify]: Simplify n into n 17.984 * [taylor]: Taking taylor expansion of f in f 17.984 * [backup-simplify]: Simplify 0 into 0 17.984 * [backup-simplify]: Simplify 1 into 1 17.984 * [taylor]: Taking taylor expansion of (fma n n (fma f f (* -2 (* n f)))) in n 17.984 * [taylor]: Rewrote expression to (+ (* n n) (fma f f (* -2 (* n f)))) 17.984 * [taylor]: Taking taylor expansion of (* n n) in n 17.984 * [taylor]: Taking taylor expansion of n in n 17.985 * [backup-simplify]: Simplify 0 into 0 17.985 * [backup-simplify]: Simplify 1 into 1 17.985 * [taylor]: Taking taylor expansion of n in n 17.985 * [backup-simplify]: Simplify 0 into 0 17.985 * [backup-simplify]: Simplify 1 into 1 17.985 * [taylor]: Taking taylor expansion of (fma f f (* -2 (* n f))) in n 17.985 * [taylor]: Rewrote expression to (+ (* f f) (* -2 (* n f))) 17.985 * [taylor]: Taking taylor expansion of (* f f) in n 17.985 * [taylor]: Taking taylor expansion of f in n 17.985 * [backup-simplify]: Simplify f into f 17.985 * [taylor]: Taking taylor expansion of f in n 17.985 * [backup-simplify]: Simplify f into f 17.985 * [taylor]: Taking taylor expansion of (* -2 (* n f)) in n 17.985 * [taylor]: Taking taylor expansion of -2 in n 17.985 * [backup-simplify]: Simplify -2 into -2 17.985 * [taylor]: Taking taylor expansion of (* n f) in n 17.985 * [taylor]: Taking taylor expansion of n in n 17.985 * [backup-simplify]: Simplify 0 into 0 17.985 * [backup-simplify]: Simplify 1 into 1 17.985 * [taylor]: Taking taylor expansion of f in n 17.985 * [backup-simplify]: Simplify f into f 17.985 * [taylor]: Taking taylor expansion of (fma n n (fma f f (* -2 (* n f)))) in n 17.985 * [taylor]: Rewrote expression to (+ (* n n) (fma f f (* -2 (* n f)))) 17.985 * [taylor]: Taking taylor expansion of (* n n) in n 17.985 * [taylor]: Taking taylor expansion of n in n 17.985 * [backup-simplify]: Simplify 0 into 0 17.985 * [backup-simplify]: Simplify 1 into 1 17.985 * [taylor]: Taking taylor expansion of n in n 17.985 * [backup-simplify]: Simplify 0 into 0 17.986 * [backup-simplify]: Simplify 1 into 1 17.986 * [taylor]: Taking taylor expansion of (fma f f (* -2 (* n f))) in n 17.986 * [taylor]: Rewrote expression to (+ (* f f) (* -2 (* n f))) 17.986 * [taylor]: Taking taylor expansion of (* f f) in n 17.986 * [taylor]: Taking taylor expansion of f in n 17.986 * [backup-simplify]: Simplify f into f 17.986 * [taylor]: Taking taylor expansion of f in n 17.986 * [backup-simplify]: Simplify f into f 17.986 * [taylor]: Taking taylor expansion of (* -2 (* n f)) in n 17.986 * [taylor]: Taking taylor expansion of -2 in n 17.986 * [backup-simplify]: Simplify -2 into -2 17.986 * [taylor]: Taking taylor expansion of (* n f) in n 17.986 * [taylor]: Taking taylor expansion of n in n 17.986 * [backup-simplify]: Simplify 0 into 0 17.986 * [backup-simplify]: Simplify 1 into 1 17.986 * [taylor]: Taking taylor expansion of f in n 17.986 * [backup-simplify]: Simplify f into f 17.989 * [backup-simplify]: Simplify (* 0 0) into 0 17.989 * [backup-simplify]: Simplify (* f f) into (pow f 2) 17.989 * [backup-simplify]: Simplify (* 0 f) into 0 17.990 * [backup-simplify]: Simplify (* -2 0) into 0 17.991 * [backup-simplify]: Simplify (+ (pow f 2) 0) into (pow f 2) 17.992 * [backup-simplify]: Simplify (+ 0 (pow f 2)) into (pow f 2) 17.992 * [taylor]: Taking taylor expansion of (pow f 2) in f 17.992 * [taylor]: Taking taylor expansion of f in f 17.992 * [backup-simplify]: Simplify 0 into 0 17.992 * [backup-simplify]: Simplify 1 into 1 17.993 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 17.993 * [backup-simplify]: Simplify (+ (* f 0) (* 0 f)) into 0 17.994 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 f)) into f 17.994 * [backup-simplify]: Simplify (+ (* -2 f) (* 0 0)) into (- (* 2 f)) 17.995 * [backup-simplify]: Simplify (+ 0 (- (* 2 f))) into (- (* 2 f)) 17.995 * [backup-simplify]: Simplify (+ 0 (- (* 2 f))) into (- (* 2 f)) 17.995 * [taylor]: Taking taylor expansion of (- (* 2 f)) in f 17.995 * [taylor]: Taking taylor expansion of (* 2 f) in f 17.995 * [taylor]: Taking taylor expansion of 2 in f 17.995 * [backup-simplify]: Simplify 2 into 2 17.995 * [taylor]: Taking taylor expansion of f in f 17.995 * [backup-simplify]: Simplify 0 into 0 17.995 * [backup-simplify]: Simplify 1 into 1 17.996 * [backup-simplify]: Simplify (* 2 0) into 0 17.996 * [backup-simplify]: Simplify (- 0) into 0 17.996 * [backup-simplify]: Simplify 0 into 0 17.997 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 17.998 * [backup-simplify]: Simplify (+ (* f 0) (+ (* 0 0) (* 0 f))) into 0 17.999 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 f))) into 0 18.000 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 f) (* 0 0))) into 0 18.000 * [backup-simplify]: Simplify (+ 0 0) into 0 18.001 * [backup-simplify]: Simplify (+ 1 0) into 1 18.001 * [taylor]: Taking taylor expansion of 1 in f 18.001 * [backup-simplify]: Simplify 1 into 1 18.001 * [backup-simplify]: Simplify 1 into 1 18.002 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 18.002 * [backup-simplify]: Simplify (- 2) into -2 18.002 * [backup-simplify]: Simplify -2 into -2 18.003 * [backup-simplify]: Simplify (* 1 1) into 1 18.003 * [backup-simplify]: Simplify 1 into 1 18.003 * [backup-simplify]: Simplify (+ (* 1 (pow (* f 1) 2)) (+ (* -2 (* f n)) (* 1 (pow (* 1 n) 2)))) into (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 18.004 * [backup-simplify]: Simplify (fma (/ 1 n) (/ 1 n) (fma (/ 1 f) (/ 1 f) (* -2 (* (/ 1 f) (/ 1 n))))) into (fma (/ 1 n) (/ 1 n) (fma (/ 1 f) (/ 1 f) (/ -2 (* n f)))) 18.004 * [approximate]: Taking taylor expansion of (fma (/ 1 n) (/ 1 n) (fma (/ 1 f) (/ 1 f) (/ -2 (* n f)))) in (n f) around 0 18.004 * [taylor]: Taking taylor expansion of (fma (/ 1 n) (/ 1 n) (fma (/ 1 f) (/ 1 f) (/ -2 (* n f)))) in f 18.004 * [taylor]: Rewrote expression to (+ (* (/ 1 n) (/ 1 n)) (fma (/ 1 f) (/ 1 f) (/ -2 (* n f)))) 18.004 * [taylor]: Taking taylor expansion of (* (/ 1 n) (/ 1 n)) in f 18.004 * [taylor]: Taking taylor expansion of (/ 1 n) in f 18.004 * [taylor]: Taking taylor expansion of n in f 18.004 * [backup-simplify]: Simplify n into n 18.004 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 18.004 * [taylor]: Taking taylor expansion of (/ 1 n) in f 18.004 * [taylor]: Taking taylor expansion of n in f 18.004 * [backup-simplify]: Simplify n into n 18.004 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 18.004 * [taylor]: Taking taylor expansion of (fma (/ 1 f) (/ 1 f) (/ -2 (* n f))) in f 18.004 * [taylor]: Rewrote expression to (+ (* (/ 1 f) (/ 1 f)) (/ -2 (* n f))) 18.004 * [taylor]: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f 18.004 * [taylor]: Taking taylor expansion of (/ 1 f) in f 18.004 * [taylor]: Taking taylor expansion of f in f 18.005 * [backup-simplify]: Simplify 0 into 0 18.005 * [backup-simplify]: Simplify 1 into 1 18.005 * [backup-simplify]: Simplify (/ 1 1) into 1 18.005 * [taylor]: Taking taylor expansion of (/ 1 f) in f 18.005 * [taylor]: Taking taylor expansion of f in f 18.005 * [backup-simplify]: Simplify 0 into 0 18.005 * [backup-simplify]: Simplify 1 into 1 18.006 * [backup-simplify]: Simplify (/ 1 1) into 1 18.006 * [taylor]: Taking taylor expansion of (/ -2 (* n f)) in f 18.006 * [taylor]: Taking taylor expansion of -2 in f 18.006 * [backup-simplify]: Simplify -2 into -2 18.006 * [taylor]: Taking taylor expansion of (* n f) in f 18.006 * [taylor]: Taking taylor expansion of n in f 18.006 * [backup-simplify]: Simplify n into n 18.006 * [taylor]: Taking taylor expansion of f in f 18.006 * [backup-simplify]: Simplify 0 into 0 18.006 * [backup-simplify]: Simplify 1 into 1 18.006 * [backup-simplify]: Simplify (* n 0) into 0 18.007 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 18.007 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 18.007 * [taylor]: Taking taylor expansion of (fma (/ 1 n) (/ 1 n) (fma (/ 1 f) (/ 1 f) (/ -2 (* n f)))) in n 18.008 * [taylor]: Rewrote expression to (+ (* (/ 1 n) (/ 1 n)) (fma (/ 1 f) (/ 1 f) (/ -2 (* n f)))) 18.008 * [taylor]: Taking taylor expansion of (* (/ 1 n) (/ 1 n)) in n 18.008 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.008 * [taylor]: Taking taylor expansion of n in n 18.008 * [backup-simplify]: Simplify 0 into 0 18.008 * [backup-simplify]: Simplify 1 into 1 18.009 * [backup-simplify]: Simplify (/ 1 1) into 1 18.009 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.009 * [taylor]: Taking taylor expansion of n in n 18.009 * [backup-simplify]: Simplify 0 into 0 18.009 * [backup-simplify]: Simplify 1 into 1 18.010 * [backup-simplify]: Simplify (/ 1 1) into 1 18.010 * [taylor]: Taking taylor expansion of (fma (/ 1 f) (/ 1 f) (/ -2 (* n f))) in n 18.010 * [taylor]: Rewrote expression to (+ (* (/ 1 f) (/ 1 f)) (/ -2 (* n f))) 18.010 * [taylor]: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in n 18.010 * [taylor]: Taking taylor expansion of (/ 1 f) in n 18.010 * [taylor]: Taking taylor expansion of f in n 18.010 * [backup-simplify]: Simplify f into f 18.010 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 18.010 * [taylor]: Taking taylor expansion of (/ 1 f) in n 18.010 * [taylor]: Taking taylor expansion of f in n 18.011 * [backup-simplify]: Simplify f into f 18.011 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 18.011 * [taylor]: Taking taylor expansion of (/ -2 (* n f)) in n 18.011 * [taylor]: Taking taylor expansion of -2 in n 18.011 * [backup-simplify]: Simplify -2 into -2 18.011 * [taylor]: Taking taylor expansion of (* n f) in n 18.011 * [taylor]: Taking taylor expansion of n in n 18.011 * [backup-simplify]: Simplify 0 into 0 18.011 * [backup-simplify]: Simplify 1 into 1 18.011 * [taylor]: Taking taylor expansion of f in n 18.011 * [backup-simplify]: Simplify f into f 18.011 * [backup-simplify]: Simplify (* 0 f) into 0 18.011 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 f)) into f 18.012 * [backup-simplify]: Simplify (/ -2 f) into (/ -2 f) 18.012 * [taylor]: Taking taylor expansion of (fma (/ 1 n) (/ 1 n) (fma (/ 1 f) (/ 1 f) (/ -2 (* n f)))) in n 18.012 * [taylor]: Rewrote expression to (+ (* (/ 1 n) (/ 1 n)) (fma (/ 1 f) (/ 1 f) (/ -2 (* n f)))) 18.012 * [taylor]: Taking taylor expansion of (* (/ 1 n) (/ 1 n)) in n 18.012 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.012 * [taylor]: Taking taylor expansion of n in n 18.012 * [backup-simplify]: Simplify 0 into 0 18.012 * [backup-simplify]: Simplify 1 into 1 18.013 * [backup-simplify]: Simplify (/ 1 1) into 1 18.013 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.013 * [taylor]: Taking taylor expansion of n in n 18.013 * [backup-simplify]: Simplify 0 into 0 18.013 * [backup-simplify]: Simplify 1 into 1 18.013 * [backup-simplify]: Simplify (/ 1 1) into 1 18.013 * [taylor]: Taking taylor expansion of (fma (/ 1 f) (/ 1 f) (/ -2 (* n f))) in n 18.013 * [taylor]: Rewrote expression to (+ (* (/ 1 f) (/ 1 f)) (/ -2 (* n f))) 18.013 * [taylor]: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in n 18.013 * [taylor]: Taking taylor expansion of (/ 1 f) in n 18.013 * [taylor]: Taking taylor expansion of f in n 18.013 * [backup-simplify]: Simplify f into f 18.014 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 18.014 * [taylor]: Taking taylor expansion of (/ 1 f) in n 18.014 * [taylor]: Taking taylor expansion of f in n 18.014 * [backup-simplify]: Simplify f into f 18.014 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 18.014 * [taylor]: Taking taylor expansion of (/ -2 (* n f)) in n 18.014 * [taylor]: Taking taylor expansion of -2 in n 18.014 * [backup-simplify]: Simplify -2 into -2 18.014 * [taylor]: Taking taylor expansion of (* n f) in n 18.014 * [taylor]: Taking taylor expansion of n in n 18.014 * [backup-simplify]: Simplify 0 into 0 18.014 * [backup-simplify]: Simplify 1 into 1 18.014 * [taylor]: Taking taylor expansion of f in n 18.014 * [backup-simplify]: Simplify f into f 18.014 * [backup-simplify]: Simplify (* 0 f) into 0 18.015 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 f)) into f 18.015 * [backup-simplify]: Simplify (/ -2 f) into (/ -2 f) 18.015 * [backup-simplify]: Simplify (* 1 1) into 1 18.016 * [backup-simplify]: Simplify (+ 1 0) into 1 18.016 * [taylor]: Taking taylor expansion of 1 in f 18.016 * [backup-simplify]: Simplify 1 into 1 18.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.019 * [backup-simplify]: Simplify (+ 0 (/ -2 f)) into (- (* 2 (/ 1 f))) 18.019 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 f)))) into (- (* 2 (/ 1 f))) 18.019 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 18.020 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 18.020 * [taylor]: Taking taylor expansion of 2 in f 18.020 * [backup-simplify]: Simplify 2 into 2 18.020 * [taylor]: Taking taylor expansion of (/ 1 f) in f 18.020 * [taylor]: Taking taylor expansion of f in f 18.020 * [backup-simplify]: Simplify 0 into 0 18.020 * [backup-simplify]: Simplify 1 into 1 18.020 * [backup-simplify]: Simplify (/ 1 1) into 1 18.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.024 * [backup-simplify]: Simplify (* (/ 1 f) (/ 1 f)) into (/ 1 (pow f 2)) 18.025 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 f))) into 0 18.025 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ -2 f) (/ 0 f)))) into 0 18.025 * [backup-simplify]: Simplify (+ (/ 1 (pow f 2)) 0) into (/ 1 (pow f 2)) 18.025 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow f 2))) into (/ 1 (pow f 2)) 18.025 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 18.025 * [taylor]: Taking taylor expansion of (pow f 2) in f 18.025 * [taylor]: Taking taylor expansion of f in f 18.025 * [backup-simplify]: Simplify 0 into 0 18.026 * [backup-simplify]: Simplify 1 into 1 18.026 * [backup-simplify]: Simplify (* 1 1) into 1 18.027 * [backup-simplify]: Simplify (/ 1 1) into 1 18.027 * [backup-simplify]: Simplify 1 into 1 18.028 * [backup-simplify]: Simplify (* 2 1) into 2 18.028 * [backup-simplify]: Simplify (- 2) into -2 18.028 * [backup-simplify]: Simplify -2 into -2 18.028 * [backup-simplify]: Simplify 1 into 1 18.029 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 n))) 2)) (+ (* -2 (* (/ 1 (/ 1 f)) (/ 1 (/ 1 n)))) (* 1 (pow (* (/ 1 (/ 1 f)) 1) 2)))) into (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 18.029 * [backup-simplify]: Simplify (fma (/ 1 (- n)) (/ 1 (- n)) (fma (/ 1 (- f)) (/ 1 (- f)) (* -2 (* (/ 1 (- f)) (/ 1 (- n)))))) into (fma (/ -1 n) (/ -1 n) (fma (/ -1 f) (/ -1 f) (/ -2 (* n f)))) 18.029 * [approximate]: Taking taylor expansion of (fma (/ -1 n) (/ -1 n) (fma (/ -1 f) (/ -1 f) (/ -2 (* n f)))) in (n f) around 0 18.029 * [taylor]: Taking taylor expansion of (fma (/ -1 n) (/ -1 n) (fma (/ -1 f) (/ -1 f) (/ -2 (* n f)))) in f 18.029 * [taylor]: Rewrote expression to (+ (* (/ -1 n) (/ -1 n)) (fma (/ -1 f) (/ -1 f) (/ -2 (* n f)))) 18.029 * [taylor]: Taking taylor expansion of (* (/ -1 n) (/ -1 n)) in f 18.029 * [taylor]: Taking taylor expansion of (/ -1 n) in f 18.030 * [taylor]: Taking taylor expansion of -1 in f 18.030 * [backup-simplify]: Simplify -1 into -1 18.030 * [taylor]: Taking taylor expansion of n in f 18.030 * [backup-simplify]: Simplify n into n 18.030 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 18.030 * [taylor]: Taking taylor expansion of (/ -1 n) in f 18.030 * [taylor]: Taking taylor expansion of -1 in f 18.030 * [backup-simplify]: Simplify -1 into -1 18.030 * [taylor]: Taking taylor expansion of n in f 18.030 * [backup-simplify]: Simplify n into n 18.030 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 18.030 * [taylor]: Taking taylor expansion of (fma (/ -1 f) (/ -1 f) (/ -2 (* n f))) in f 18.030 * [taylor]: Rewrote expression to (+ (* (/ -1 f) (/ -1 f)) (/ -2 (* n f))) 18.030 * [taylor]: Taking taylor expansion of (* (/ -1 f) (/ -1 f)) in f 18.030 * [taylor]: Taking taylor expansion of (/ -1 f) in f 18.030 * [taylor]: Taking taylor expansion of -1 in f 18.030 * [backup-simplify]: Simplify -1 into -1 18.030 * [taylor]: Taking taylor expansion of f in f 18.030 * [backup-simplify]: Simplify 0 into 0 18.030 * [backup-simplify]: Simplify 1 into 1 18.031 * [backup-simplify]: Simplify (/ -1 1) into -1 18.031 * [taylor]: Taking taylor expansion of (/ -1 f) in f 18.031 * [taylor]: Taking taylor expansion of -1 in f 18.031 * [backup-simplify]: Simplify -1 into -1 18.031 * [taylor]: Taking taylor expansion of f in f 18.031 * [backup-simplify]: Simplify 0 into 0 18.031 * [backup-simplify]: Simplify 1 into 1 18.031 * [backup-simplify]: Simplify (/ -1 1) into -1 18.031 * [taylor]: Taking taylor expansion of (/ -2 (* n f)) in f 18.031 * [taylor]: Taking taylor expansion of -2 in f 18.031 * [backup-simplify]: Simplify -2 into -2 18.031 * [taylor]: Taking taylor expansion of (* n f) in f 18.031 * [taylor]: Taking taylor expansion of n in f 18.031 * [backup-simplify]: Simplify n into n 18.031 * [taylor]: Taking taylor expansion of f in f 18.031 * [backup-simplify]: Simplify 0 into 0 18.031 * [backup-simplify]: Simplify 1 into 1 18.031 * [backup-simplify]: Simplify (* n 0) into 0 18.032 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 18.032 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 18.032 * [taylor]: Taking taylor expansion of (fma (/ -1 n) (/ -1 n) (fma (/ -1 f) (/ -1 f) (/ -2 (* n f)))) in n 18.032 * [taylor]: Rewrote expression to (+ (* (/ -1 n) (/ -1 n)) (fma (/ -1 f) (/ -1 f) (/ -2 (* n f)))) 18.032 * [taylor]: Taking taylor expansion of (* (/ -1 n) (/ -1 n)) in n 18.032 * [taylor]: Taking taylor expansion of (/ -1 n) in n 18.032 * [taylor]: Taking taylor expansion of -1 in n 18.032 * [backup-simplify]: Simplify -1 into -1 18.032 * [taylor]: Taking taylor expansion of n in n 18.032 * [backup-simplify]: Simplify 0 into 0 18.032 * [backup-simplify]: Simplify 1 into 1 18.032 * [backup-simplify]: Simplify (/ -1 1) into -1 18.032 * [taylor]: Taking taylor expansion of (/ -1 n) in n 18.032 * [taylor]: Taking taylor expansion of -1 in n 18.032 * [backup-simplify]: Simplify -1 into -1 18.032 * [taylor]: Taking taylor expansion of n in n 18.032 * [backup-simplify]: Simplify 0 into 0 18.033 * [backup-simplify]: Simplify 1 into 1 18.033 * [backup-simplify]: Simplify (/ -1 1) into -1 18.033 * [taylor]: Taking taylor expansion of (fma (/ -1 f) (/ -1 f) (/ -2 (* n f))) in n 18.033 * [taylor]: Rewrote expression to (+ (* (/ -1 f) (/ -1 f)) (/ -2 (* n f))) 18.033 * [taylor]: Taking taylor expansion of (* (/ -1 f) (/ -1 f)) in n 18.033 * [taylor]: Taking taylor expansion of (/ -1 f) in n 18.033 * [taylor]: Taking taylor expansion of -1 in n 18.033 * [backup-simplify]: Simplify -1 into -1 18.033 * [taylor]: Taking taylor expansion of f in n 18.033 * [backup-simplify]: Simplify f into f 18.034 * [backup-simplify]: Simplify (/ -1 f) into (/ -1 f) 18.034 * [taylor]: Taking taylor expansion of (/ -1 f) in n 18.034 * [taylor]: Taking taylor expansion of -1 in n 18.034 * [backup-simplify]: Simplify -1 into -1 18.034 * [taylor]: Taking taylor expansion of f in n 18.034 * [backup-simplify]: Simplify f into f 18.034 * [backup-simplify]: Simplify (/ -1 f) into (/ -1 f) 18.034 * [taylor]: Taking taylor expansion of (/ -2 (* n f)) in n 18.034 * [taylor]: Taking taylor expansion of -2 in n 18.034 * [backup-simplify]: Simplify -2 into -2 18.034 * [taylor]: Taking taylor expansion of (* n f) in n 18.034 * [taylor]: Taking taylor expansion of n in n 18.034 * [backup-simplify]: Simplify 0 into 0 18.034 * [backup-simplify]: Simplify 1 into 1 18.034 * [taylor]: Taking taylor expansion of f in n 18.034 * [backup-simplify]: Simplify f into f 18.034 * [backup-simplify]: Simplify (* 0 f) into 0 18.035 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 f)) into f 18.035 * [backup-simplify]: Simplify (/ -2 f) into (/ -2 f) 18.035 * [taylor]: Taking taylor expansion of (fma (/ -1 n) (/ -1 n) (fma (/ -1 f) (/ -1 f) (/ -2 (* n f)))) in n 18.035 * [taylor]: Rewrote expression to (+ (* (/ -1 n) (/ -1 n)) (fma (/ -1 f) (/ -1 f) (/ -2 (* n f)))) 18.035 * [taylor]: Taking taylor expansion of (* (/ -1 n) (/ -1 n)) in n 18.035 * [taylor]: Taking taylor expansion of (/ -1 n) in n 18.035 * [taylor]: Taking taylor expansion of -1 in n 18.035 * [backup-simplify]: Simplify -1 into -1 18.035 * [taylor]: Taking taylor expansion of n in n 18.035 * [backup-simplify]: Simplify 0 into 0 18.035 * [backup-simplify]: Simplify 1 into 1 18.036 * [backup-simplify]: Simplify (/ -1 1) into -1 18.036 * [taylor]: Taking taylor expansion of (/ -1 n) in n 18.036 * [taylor]: Taking taylor expansion of -1 in n 18.036 * [backup-simplify]: Simplify -1 into -1 18.036 * [taylor]: Taking taylor expansion of n in n 18.036 * [backup-simplify]: Simplify 0 into 0 18.036 * [backup-simplify]: Simplify 1 into 1 18.037 * [backup-simplify]: Simplify (/ -1 1) into -1 18.037 * [taylor]: Taking taylor expansion of (fma (/ -1 f) (/ -1 f) (/ -2 (* n f))) in n 18.037 * [taylor]: Rewrote expression to (+ (* (/ -1 f) (/ -1 f)) (/ -2 (* n f))) 18.037 * [taylor]: Taking taylor expansion of (* (/ -1 f) (/ -1 f)) in n 18.037 * [taylor]: Taking taylor expansion of (/ -1 f) in n 18.037 * [taylor]: Taking taylor expansion of -1 in n 18.037 * [backup-simplify]: Simplify -1 into -1 18.037 * [taylor]: Taking taylor expansion of f in n 18.037 * [backup-simplify]: Simplify f into f 18.037 * [backup-simplify]: Simplify (/ -1 f) into (/ -1 f) 18.037 * [taylor]: Taking taylor expansion of (/ -1 f) in n 18.037 * [taylor]: Taking taylor expansion of -1 in n 18.037 * [backup-simplify]: Simplify -1 into -1 18.037 * [taylor]: Taking taylor expansion of f in n 18.037 * [backup-simplify]: Simplify f into f 18.037 * [backup-simplify]: Simplify (/ -1 f) into (/ -1 f) 18.038 * [taylor]: Taking taylor expansion of (/ -2 (* n f)) in n 18.038 * [taylor]: Taking taylor expansion of -2 in n 18.038 * [backup-simplify]: Simplify -2 into -2 18.038 * [taylor]: Taking taylor expansion of (* n f) in n 18.038 * [taylor]: Taking taylor expansion of n in n 18.038 * [backup-simplify]: Simplify 0 into 0 18.038 * [backup-simplify]: Simplify 1 into 1 18.038 * [taylor]: Taking taylor expansion of f in n 18.038 * [backup-simplify]: Simplify f into f 18.038 * [backup-simplify]: Simplify (* 0 f) into 0 18.039 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 f)) into f 18.039 * [backup-simplify]: Simplify (/ -2 f) into (/ -2 f) 18.039 * [backup-simplify]: Simplify (* -1 -1) into 1 18.040 * [backup-simplify]: Simplify (+ 1 0) into 1 18.040 * [taylor]: Taking taylor expansion of 1 in f 18.040 * [backup-simplify]: Simplify 1 into 1 18.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.043 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 18.043 * [backup-simplify]: Simplify (+ 0 (/ -2 f)) into (- (* 2 (/ 1 f))) 18.043 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 f)))) into (- (* 2 (/ 1 f))) 18.043 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 18.043 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 18.043 * [taylor]: Taking taylor expansion of 2 in f 18.043 * [backup-simplify]: Simplify 2 into 2 18.043 * [taylor]: Taking taylor expansion of (/ 1 f) in f 18.043 * [taylor]: Taking taylor expansion of f in f 18.043 * [backup-simplify]: Simplify 0 into 0 18.043 * [backup-simplify]: Simplify 1 into 1 18.044 * [backup-simplify]: Simplify (/ 1 1) into 1 18.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.047 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 18.048 * [backup-simplify]: Simplify (* (/ -1 f) (/ -1 f)) into (/ 1 (pow f 2)) 18.049 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 f))) into 0 18.049 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ -2 f) (/ 0 f)))) into 0 18.049 * [backup-simplify]: Simplify (+ (/ 1 (pow f 2)) 0) into (/ 1 (pow f 2)) 18.050 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow f 2))) into (/ 1 (pow f 2)) 18.050 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 18.050 * [taylor]: Taking taylor expansion of (pow f 2) in f 18.050 * [taylor]: Taking taylor expansion of f in f 18.050 * [backup-simplify]: Simplify 0 into 0 18.050 * [backup-simplify]: Simplify 1 into 1 18.050 * [backup-simplify]: Simplify (* 1 1) into 1 18.051 * [backup-simplify]: Simplify (/ 1 1) into 1 18.051 * [backup-simplify]: Simplify 1 into 1 18.052 * [backup-simplify]: Simplify (* 2 1) into 2 18.052 * [backup-simplify]: Simplify (- 2) into -2 18.052 * [backup-simplify]: Simplify -2 into -2 18.052 * [backup-simplify]: Simplify 1 into 1 18.053 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- n)))) 2)) (+ (* -2 (* (/ 1 (/ 1 (- f))) (/ 1 (/ 1 (- n))))) (* 1 (pow (* (/ 1 (/ 1 (- f))) 1) 2)))) into (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 18.053 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 3) 18.053 * [backup-simplify]: Simplify (fma f f (* -2 (* f n))) into (fma f f (* -2 (* n f))) 18.053 * [approximate]: Taking taylor expansion of (fma f f (* -2 (* n f))) in (f n) around 0 18.054 * [taylor]: Taking taylor expansion of (fma f f (* -2 (* n f))) in n 18.054 * [taylor]: Rewrote expression to (+ (* f f) (* -2 (* n f))) 18.054 * [taylor]: Taking taylor expansion of (* f f) in n 18.054 * [taylor]: Taking taylor expansion of f in n 18.054 * [backup-simplify]: Simplify f into f 18.054 * [taylor]: Taking taylor expansion of f in n 18.054 * [backup-simplify]: Simplify f into f 18.054 * [taylor]: Taking taylor expansion of (* -2 (* n f)) in n 18.054 * [taylor]: Taking taylor expansion of -2 in n 18.054 * [backup-simplify]: Simplify -2 into -2 18.054 * [taylor]: Taking taylor expansion of (* n f) in n 18.054 * [taylor]: Taking taylor expansion of n in n 18.054 * [backup-simplify]: Simplify 0 into 0 18.054 * [backup-simplify]: Simplify 1 into 1 18.054 * [taylor]: Taking taylor expansion of f in n 18.054 * [backup-simplify]: Simplify f into f 18.054 * [taylor]: Taking taylor expansion of (fma f f (* -2 (* n f))) in f 18.055 * [taylor]: Rewrote expression to (+ (* f f) (* -2 (* n f))) 18.055 * [taylor]: Taking taylor expansion of (* f f) in f 18.055 * [taylor]: Taking taylor expansion of f in f 18.055 * [backup-simplify]: Simplify 0 into 0 18.055 * [backup-simplify]: Simplify 1 into 1 18.055 * [taylor]: Taking taylor expansion of f in f 18.055 * [backup-simplify]: Simplify 0 into 0 18.055 * [backup-simplify]: Simplify 1 into 1 18.055 * [taylor]: Taking taylor expansion of (* -2 (* n f)) in f 18.055 * [taylor]: Taking taylor expansion of -2 in f 18.055 * [backup-simplify]: Simplify -2 into -2 18.055 * [taylor]: Taking taylor expansion of (* n f) in f 18.055 * [taylor]: Taking taylor expansion of n in f 18.055 * [backup-simplify]: Simplify n into n 18.055 * [taylor]: Taking taylor expansion of f in f 18.055 * [backup-simplify]: Simplify 0 into 0 18.055 * [backup-simplify]: Simplify 1 into 1 18.055 * [taylor]: Taking taylor expansion of (fma f f (* -2 (* n f))) in f 18.055 * [taylor]: Rewrote expression to (+ (* f f) (* -2 (* n f))) 18.055 * [taylor]: Taking taylor expansion of (* f f) in f 18.055 * [taylor]: Taking taylor expansion of f in f 18.055 * [backup-simplify]: Simplify 0 into 0 18.055 * [backup-simplify]: Simplify 1 into 1 18.055 * [taylor]: Taking taylor expansion of f in f 18.055 * [backup-simplify]: Simplify 0 into 0 18.055 * [backup-simplify]: Simplify 1 into 1 18.055 * [taylor]: Taking taylor expansion of (* -2 (* n f)) in f 18.055 * [taylor]: Taking taylor expansion of -2 in f 18.055 * [backup-simplify]: Simplify -2 into -2 18.056 * [taylor]: Taking taylor expansion of (* n f) in f 18.056 * [taylor]: Taking taylor expansion of n in f 18.056 * [backup-simplify]: Simplify n into n 18.056 * [taylor]: Taking taylor expansion of f in f 18.056 * [backup-simplify]: Simplify 0 into 0 18.056 * [backup-simplify]: Simplify 1 into 1 18.056 * [backup-simplify]: Simplify (* 0 0) into 0 18.057 * [backup-simplify]: Simplify (* n 0) into 0 18.057 * [backup-simplify]: Simplify (* -2 0) into 0 18.058 * [backup-simplify]: Simplify (+ 0 0) into 0 18.058 * [taylor]: Taking taylor expansion of 0 in n 18.058 * [backup-simplify]: Simplify 0 into 0 18.058 * [backup-simplify]: Simplify 0 into 0 18.058 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 18.059 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 18.059 * [backup-simplify]: Simplify (+ (* -2 n) (* 0 0)) into (- (* 2 n)) 18.060 * [backup-simplify]: Simplify (+ 0 (- (* 2 n))) into (- (* 2 n)) 18.060 * [taylor]: Taking taylor expansion of (- (* 2 n)) in n 18.060 * [taylor]: Taking taylor expansion of (* 2 n) in n 18.060 * [taylor]: Taking taylor expansion of 2 in n 18.060 * [backup-simplify]: Simplify 2 into 2 18.060 * [taylor]: Taking taylor expansion of n in n 18.060 * [backup-simplify]: Simplify 0 into 0 18.060 * [backup-simplify]: Simplify 1 into 1 18.060 * [backup-simplify]: Simplify (* 2 0) into 0 18.061 * [backup-simplify]: Simplify (- 0) into 0 18.061 * [backup-simplify]: Simplify 0 into 0 18.061 * [backup-simplify]: Simplify 0 into 0 18.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 18.063 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 1) (* 0 0))) into 0 18.064 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 n) (* 0 0))) into 0 18.064 * [backup-simplify]: Simplify (+ 1 0) into 1 18.064 * [taylor]: Taking taylor expansion of 1 in n 18.064 * [backup-simplify]: Simplify 1 into 1 18.064 * [backup-simplify]: Simplify 1 into 1 18.065 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 18.066 * [backup-simplify]: Simplify (- 2) into -2 18.066 * [backup-simplify]: Simplify -2 into -2 18.066 * [backup-simplify]: Simplify 0 into 0 18.067 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 18.068 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 18.070 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 n) (* 0 0)))) into 0 18.071 * [backup-simplify]: Simplify (+ 0 0) into 0 18.071 * [taylor]: Taking taylor expansion of 0 in n 18.071 * [backup-simplify]: Simplify 0 into 0 18.071 * [backup-simplify]: Simplify 0 into 0 18.071 * [backup-simplify]: Simplify 0 into 0 18.072 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 18.073 * [backup-simplify]: Simplify (- 0) into 0 18.073 * [backup-simplify]: Simplify 0 into 0 18.073 * [backup-simplify]: Simplify 0 into 0 18.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 18.075 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 18.077 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 n) (* 0 0))))) into 0 18.078 * [backup-simplify]: Simplify (+ 0 0) into 0 18.078 * [taylor]: Taking taylor expansion of 0 in n 18.078 * [backup-simplify]: Simplify 0 into 0 18.078 * [backup-simplify]: Simplify 0 into 0 18.079 * [backup-simplify]: Simplify (+ (* -2 (* n f)) (* 1 (pow (* 1 f) 2))) into (- (pow f 2) (* 2 (* n f))) 18.079 * [backup-simplify]: Simplify (fma (/ 1 f) (/ 1 f) (* -2 (* (/ 1 f) (/ 1 n)))) into (fma (/ 1 f) (/ 1 f) (/ -2 (* n f))) 18.079 * [approximate]: Taking taylor expansion of (fma (/ 1 f) (/ 1 f) (/ -2 (* n f))) in (f n) around 0 18.079 * [taylor]: Taking taylor expansion of (fma (/ 1 f) (/ 1 f) (/ -2 (* n f))) in n 18.079 * [taylor]: Rewrote expression to (+ (* (/ 1 f) (/ 1 f)) (/ -2 (* n f))) 18.079 * [taylor]: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in n 18.079 * [taylor]: Taking taylor expansion of (/ 1 f) in n 18.080 * [taylor]: Taking taylor expansion of f in n 18.080 * [backup-simplify]: Simplify f into f 18.080 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 18.080 * [taylor]: Taking taylor expansion of (/ 1 f) in n 18.080 * [taylor]: Taking taylor expansion of f in n 18.080 * [backup-simplify]: Simplify f into f 18.080 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 18.080 * [taylor]: Taking taylor expansion of (/ -2 (* n f)) in n 18.080 * [taylor]: Taking taylor expansion of -2 in n 18.080 * [backup-simplify]: Simplify -2 into -2 18.080 * [taylor]: Taking taylor expansion of (* n f) in n 18.080 * [taylor]: Taking taylor expansion of n in n 18.080 * [backup-simplify]: Simplify 0 into 0 18.080 * [backup-simplify]: Simplify 1 into 1 18.080 * [taylor]: Taking taylor expansion of f in n 18.080 * [backup-simplify]: Simplify f into f 18.080 * [backup-simplify]: Simplify (* 0 f) into 0 18.081 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 f)) into f 18.081 * [backup-simplify]: Simplify (/ -2 f) into (/ -2 f) 18.081 * [taylor]: Taking taylor expansion of (fma (/ 1 f) (/ 1 f) (/ -2 (* n f))) in f 18.081 * [taylor]: Rewrote expression to (+ (* (/ 1 f) (/ 1 f)) (/ -2 (* n f))) 18.082 * [taylor]: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f 18.082 * [taylor]: Taking taylor expansion of (/ 1 f) in f 18.082 * [taylor]: Taking taylor expansion of f in f 18.082 * [backup-simplify]: Simplify 0 into 0 18.082 * [backup-simplify]: Simplify 1 into 1 18.083 * [backup-simplify]: Simplify (/ 1 1) into 1 18.083 * [taylor]: Taking taylor expansion of (/ 1 f) in f 18.083 * [taylor]: Taking taylor expansion of f in f 18.083 * [backup-simplify]: Simplify 0 into 0 18.083 * [backup-simplify]: Simplify 1 into 1 18.084 * [backup-simplify]: Simplify (/ 1 1) into 1 18.084 * [taylor]: Taking taylor expansion of (/ -2 (* n f)) in f 18.084 * [taylor]: Taking taylor expansion of -2 in f 18.084 * [backup-simplify]: Simplify -2 into -2 18.084 * [taylor]: Taking taylor expansion of (* n f) in f 18.084 * [taylor]: Taking taylor expansion of n in f 18.084 * [backup-simplify]: Simplify n into n 18.084 * [taylor]: Taking taylor expansion of f in f 18.084 * [backup-simplify]: Simplify 0 into 0 18.084 * [backup-simplify]: Simplify 1 into 1 18.084 * [backup-simplify]: Simplify (* n 0) into 0 18.085 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 18.085 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 18.085 * [taylor]: Taking taylor expansion of (fma (/ 1 f) (/ 1 f) (/ -2 (* n f))) in f 18.086 * [taylor]: Rewrote expression to (+ (* (/ 1 f) (/ 1 f)) (/ -2 (* n f))) 18.086 * [taylor]: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f 18.086 * [taylor]: Taking taylor expansion of (/ 1 f) in f 18.086 * [taylor]: Taking taylor expansion of f in f 18.086 * [backup-simplify]: Simplify 0 into 0 18.086 * [backup-simplify]: Simplify 1 into 1 18.086 * [backup-simplify]: Simplify (/ 1 1) into 1 18.086 * [taylor]: Taking taylor expansion of (/ 1 f) in f 18.086 * [taylor]: Taking taylor expansion of f in f 18.087 * [backup-simplify]: Simplify 0 into 0 18.087 * [backup-simplify]: Simplify 1 into 1 18.087 * [backup-simplify]: Simplify (/ 1 1) into 1 18.087 * [taylor]: Taking taylor expansion of (/ -2 (* n f)) in f 18.087 * [taylor]: Taking taylor expansion of -2 in f 18.087 * [backup-simplify]: Simplify -2 into -2 18.087 * [taylor]: Taking taylor expansion of (* n f) in f 18.087 * [taylor]: Taking taylor expansion of n in f 18.087 * [backup-simplify]: Simplify n into n 18.087 * [taylor]: Taking taylor expansion of f in f 18.087 * [backup-simplify]: Simplify 0 into 0 18.087 * [backup-simplify]: Simplify 1 into 1 18.087 * [backup-simplify]: Simplify (* n 0) into 0 18.088 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 18.088 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 18.089 * [backup-simplify]: Simplify (* 1 1) into 1 18.089 * [backup-simplify]: Simplify (+ 1 0) into 1 18.089 * [taylor]: Taking taylor expansion of 1 in n 18.089 * [backup-simplify]: Simplify 1 into 1 18.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.092 * [backup-simplify]: Simplify (+ 0 (/ -2 n)) into (- (* 2 (/ 1 n))) 18.092 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 18.092 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 18.092 * [taylor]: Taking taylor expansion of 2 in n 18.092 * [backup-simplify]: Simplify 2 into 2 18.092 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.092 * [taylor]: Taking taylor expansion of n in n 18.093 * [backup-simplify]: Simplify 0 into 0 18.093 * [backup-simplify]: Simplify 1 into 1 18.093 * [backup-simplify]: Simplify (/ 1 1) into 1 18.094 * [backup-simplify]: Simplify (* 2 1) into 2 18.094 * [backup-simplify]: Simplify (- 2) into -2 18.094 * [backup-simplify]: Simplify -2 into -2 18.094 * [backup-simplify]: Simplify 1 into 1 18.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.099 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 1) (* 0 0))) into 0 18.099 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 18.099 * [backup-simplify]: Simplify (+ 0 0) into 0 18.099 * [taylor]: Taking taylor expansion of 0 in n 18.099 * [backup-simplify]: Simplify 0 into 0 18.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.101 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 18.102 * [backup-simplify]: Simplify (- 0) into 0 18.102 * [backup-simplify]: Simplify 0 into 0 18.102 * [backup-simplify]: Simplify 0 into 0 18.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.107 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 18.107 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 18.107 * [backup-simplify]: Simplify (+ 0 0) into 0 18.107 * [taylor]: Taking taylor expansion of 0 in n 18.107 * [backup-simplify]: Simplify 0 into 0 18.108 * [backup-simplify]: Simplify 0 into 0 18.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.110 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 18.110 * [backup-simplify]: Simplify (- 0) into 0 18.110 * [backup-simplify]: Simplify 0 into 0 18.110 * [backup-simplify]: Simplify 0 into 0 18.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.115 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 18.116 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 18.116 * [backup-simplify]: Simplify (+ 0 0) into 0 18.116 * [taylor]: Taking taylor expansion of 0 in n 18.116 * [backup-simplify]: Simplify 0 into 0 18.116 * [backup-simplify]: Simplify 0 into 0 18.117 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 f))) 2)) (* -2 (* (/ 1 (/ 1 n)) (/ 1 (/ 1 f))))) into (- (pow f 2) (* 2 (* n f))) 18.117 * [backup-simplify]: Simplify (fma (/ 1 (- f)) (/ 1 (- f)) (* -2 (* (/ 1 (- f)) (/ 1 (- n))))) into (fma (/ -1 f) (/ -1 f) (/ -2 (* n f))) 18.117 * [approximate]: Taking taylor expansion of (fma (/ -1 f) (/ -1 f) (/ -2 (* n f))) in (f n) around 0 18.117 * [taylor]: Taking taylor expansion of (fma (/ -1 f) (/ -1 f) (/ -2 (* n f))) in n 18.118 * [taylor]: Rewrote expression to (+ (* (/ -1 f) (/ -1 f)) (/ -2 (* n f))) 18.118 * [taylor]: Taking taylor expansion of (* (/ -1 f) (/ -1 f)) in n 18.118 * [taylor]: Taking taylor expansion of (/ -1 f) in n 18.118 * [taylor]: Taking taylor expansion of -1 in n 18.118 * [backup-simplify]: Simplify -1 into -1 18.118 * [taylor]: Taking taylor expansion of f in n 18.118 * [backup-simplify]: Simplify f into f 18.118 * [backup-simplify]: Simplify (/ -1 f) into (/ -1 f) 18.118 * [taylor]: Taking taylor expansion of (/ -1 f) in n 18.118 * [taylor]: Taking taylor expansion of -1 in n 18.118 * [backup-simplify]: Simplify -1 into -1 18.118 * [taylor]: Taking taylor expansion of f in n 18.118 * [backup-simplify]: Simplify f into f 18.118 * [backup-simplify]: Simplify (/ -1 f) into (/ -1 f) 18.118 * [taylor]: Taking taylor expansion of (/ -2 (* n f)) in n 18.118 * [taylor]: Taking taylor expansion of -2 in n 18.118 * [backup-simplify]: Simplify -2 into -2 18.118 * [taylor]: Taking taylor expansion of (* n f) in n 18.118 * [taylor]: Taking taylor expansion of n in n 18.118 * [backup-simplify]: Simplify 0 into 0 18.118 * [backup-simplify]: Simplify 1 into 1 18.118 * [taylor]: Taking taylor expansion of f in n 18.118 * [backup-simplify]: Simplify f into f 18.118 * [backup-simplify]: Simplify (* 0 f) into 0 18.119 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 f)) into f 18.119 * [backup-simplify]: Simplify (/ -2 f) into (/ -2 f) 18.119 * [taylor]: Taking taylor expansion of (fma (/ -1 f) (/ -1 f) (/ -2 (* n f))) in f 18.120 * [taylor]: Rewrote expression to (+ (* (/ -1 f) (/ -1 f)) (/ -2 (* n f))) 18.120 * [taylor]: Taking taylor expansion of (* (/ -1 f) (/ -1 f)) in f 18.120 * [taylor]: Taking taylor expansion of (/ -1 f) in f 18.120 * [taylor]: Taking taylor expansion of -1 in f 18.120 * [backup-simplify]: Simplify -1 into -1 18.120 * [taylor]: Taking taylor expansion of f in f 18.120 * [backup-simplify]: Simplify 0 into 0 18.120 * [backup-simplify]: Simplify 1 into 1 18.120 * [backup-simplify]: Simplify (/ -1 1) into -1 18.120 * [taylor]: Taking taylor expansion of (/ -1 f) in f 18.121 * [taylor]: Taking taylor expansion of -1 in f 18.121 * [backup-simplify]: Simplify -1 into -1 18.121 * [taylor]: Taking taylor expansion of f in f 18.121 * [backup-simplify]: Simplify 0 into 0 18.121 * [backup-simplify]: Simplify 1 into 1 18.121 * [backup-simplify]: Simplify (/ -1 1) into -1 18.121 * [taylor]: Taking taylor expansion of (/ -2 (* n f)) in f 18.121 * [taylor]: Taking taylor expansion of -2 in f 18.121 * [backup-simplify]: Simplify -2 into -2 18.121 * [taylor]: Taking taylor expansion of (* n f) in f 18.121 * [taylor]: Taking taylor expansion of n in f 18.121 * [backup-simplify]: Simplify n into n 18.121 * [taylor]: Taking taylor expansion of f in f 18.121 * [backup-simplify]: Simplify 0 into 0 18.121 * [backup-simplify]: Simplify 1 into 1 18.122 * [backup-simplify]: Simplify (* n 0) into 0 18.122 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 18.122 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 18.122 * [taylor]: Taking taylor expansion of (fma (/ -1 f) (/ -1 f) (/ -2 (* n f))) in f 18.122 * [taylor]: Rewrote expression to (+ (* (/ -1 f) (/ -1 f)) (/ -2 (* n f))) 18.123 * [taylor]: Taking taylor expansion of (* (/ -1 f) (/ -1 f)) in f 18.123 * [taylor]: Taking taylor expansion of (/ -1 f) in f 18.123 * [taylor]: Taking taylor expansion of -1 in f 18.123 * [backup-simplify]: Simplify -1 into -1 18.123 * [taylor]: Taking taylor expansion of f in f 18.123 * [backup-simplify]: Simplify 0 into 0 18.123 * [backup-simplify]: Simplify 1 into 1 18.123 * [backup-simplify]: Simplify (/ -1 1) into -1 18.123 * [taylor]: Taking taylor expansion of (/ -1 f) in f 18.123 * [taylor]: Taking taylor expansion of -1 in f 18.123 * [backup-simplify]: Simplify -1 into -1 18.123 * [taylor]: Taking taylor expansion of f in f 18.123 * [backup-simplify]: Simplify 0 into 0 18.123 * [backup-simplify]: Simplify 1 into 1 18.124 * [backup-simplify]: Simplify (/ -1 1) into -1 18.124 * [taylor]: Taking taylor expansion of (/ -2 (* n f)) in f 18.124 * [taylor]: Taking taylor expansion of -2 in f 18.124 * [backup-simplify]: Simplify -2 into -2 18.124 * [taylor]: Taking taylor expansion of (* n f) in f 18.124 * [taylor]: Taking taylor expansion of n in f 18.124 * [backup-simplify]: Simplify n into n 18.124 * [taylor]: Taking taylor expansion of f in f 18.124 * [backup-simplify]: Simplify 0 into 0 18.124 * [backup-simplify]: Simplify 1 into 1 18.124 * [backup-simplify]: Simplify (* n 0) into 0 18.125 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 18.125 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 18.125 * [backup-simplify]: Simplify (* -1 -1) into 1 18.126 * [backup-simplify]: Simplify (+ 1 0) into 1 18.126 * [taylor]: Taking taylor expansion of 1 in n 18.126 * [backup-simplify]: Simplify 1 into 1 18.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.129 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 18.129 * [backup-simplify]: Simplify (+ 0 (/ -2 n)) into (- (* 2 (/ 1 n))) 18.129 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 18.129 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 18.129 * [taylor]: Taking taylor expansion of 2 in n 18.129 * [backup-simplify]: Simplify 2 into 2 18.129 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.129 * [taylor]: Taking taylor expansion of n in n 18.129 * [backup-simplify]: Simplify 0 into 0 18.129 * [backup-simplify]: Simplify 1 into 1 18.130 * [backup-simplify]: Simplify (/ 1 1) into 1 18.130 * [backup-simplify]: Simplify (* 2 1) into 2 18.131 * [backup-simplify]: Simplify (- 2) into -2 18.131 * [backup-simplify]: Simplify -2 into -2 18.131 * [backup-simplify]: Simplify 1 into 1 18.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.135 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 18.136 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 1) (* 0 0))) into 0 18.136 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 18.136 * [backup-simplify]: Simplify (+ 0 0) into 0 18.137 * [taylor]: Taking taylor expansion of 0 in n 18.137 * [backup-simplify]: Simplify 0 into 0 18.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.138 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 18.139 * [backup-simplify]: Simplify (- 0) into 0 18.139 * [backup-simplify]: Simplify 0 into 0 18.139 * [backup-simplify]: Simplify 0 into 0 18.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.142 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 18.143 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 18.144 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 18.144 * [backup-simplify]: Simplify (+ 0 0) into 0 18.144 * [taylor]: Taking taylor expansion of 0 in n 18.144 * [backup-simplify]: Simplify 0 into 0 18.144 * [backup-simplify]: Simplify 0 into 0 18.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.146 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 18.147 * [backup-simplify]: Simplify (- 0) into 0 18.147 * [backup-simplify]: Simplify 0 into 0 18.147 * [backup-simplify]: Simplify 0 into 0 18.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.151 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 18.152 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 18.152 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 18.152 * [backup-simplify]: Simplify (+ 0 0) into 0 18.153 * [taylor]: Taking taylor expansion of 0 in n 18.153 * [backup-simplify]: Simplify 0 into 0 18.153 * [backup-simplify]: Simplify 0 into 0 18.153 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- f)))) 2)) (* -2 (* (/ 1 (/ 1 (- n))) (/ 1 (/ 1 (- f)))))) into (- (pow f 2) (* 2 (* n f))) 18.153 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 18.154 * [backup-simplify]: Simplify (- (* f f) (* n n)) into (- (pow f 2) (pow n 2)) 18.154 * [approximate]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in (f n) around 0 18.154 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in n 18.154 * [taylor]: Taking taylor expansion of (pow f 2) in n 18.154 * [taylor]: Taking taylor expansion of f in n 18.154 * [backup-simplify]: Simplify f into f 18.154 * [taylor]: Taking taylor expansion of (pow n 2) in n 18.154 * [taylor]: Taking taylor expansion of n in n 18.154 * [backup-simplify]: Simplify 0 into 0 18.154 * [backup-simplify]: Simplify 1 into 1 18.154 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 18.154 * [taylor]: Taking taylor expansion of (pow f 2) in f 18.154 * [taylor]: Taking taylor expansion of f in f 18.154 * [backup-simplify]: Simplify 0 into 0 18.154 * [backup-simplify]: Simplify 1 into 1 18.154 * [taylor]: Taking taylor expansion of (pow n 2) in f 18.154 * [taylor]: Taking taylor expansion of n in f 18.154 * [backup-simplify]: Simplify n into n 18.154 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 18.154 * [taylor]: Taking taylor expansion of (pow f 2) in f 18.154 * [taylor]: Taking taylor expansion of f in f 18.154 * [backup-simplify]: Simplify 0 into 0 18.154 * [backup-simplify]: Simplify 1 into 1 18.154 * [taylor]: Taking taylor expansion of (pow n 2) in f 18.154 * [taylor]: Taking taylor expansion of n in f 18.154 * [backup-simplify]: Simplify n into n 18.154 * [backup-simplify]: Simplify (* n n) into (pow n 2) 18.155 * [backup-simplify]: Simplify (- (pow n 2)) into (- (pow n 2)) 18.155 * [backup-simplify]: Simplify (+ 0 (- (pow n 2))) into (- (pow n 2)) 18.155 * [taylor]: Taking taylor expansion of (- (pow n 2)) in n 18.155 * [taylor]: Taking taylor expansion of (pow n 2) in n 18.155 * [taylor]: Taking taylor expansion of n in n 18.155 * [backup-simplify]: Simplify 0 into 0 18.155 * [backup-simplify]: Simplify 1 into 1 18.155 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 18.156 * [backup-simplify]: Simplify (- 0) into 0 18.156 * [backup-simplify]: Simplify (+ 0 0) into 0 18.156 * [taylor]: Taking taylor expansion of 0 in n 18.156 * [backup-simplify]: Simplify 0 into 0 18.156 * [backup-simplify]: Simplify 0 into 0 18.157 * [backup-simplify]: Simplify (* 1 1) into 1 18.157 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 18.158 * [backup-simplify]: Simplify (- 0) into 0 18.158 * [backup-simplify]: Simplify (+ 1 0) into 1 18.158 * [taylor]: Taking taylor expansion of 1 in n 18.158 * [backup-simplify]: Simplify 1 into 1 18.158 * [backup-simplify]: Simplify 1 into 1 18.158 * [backup-simplify]: Simplify 0 into 0 18.159 * [backup-simplify]: Simplify (* 1 1) into 1 18.159 * [backup-simplify]: Simplify (- 1) into -1 18.159 * [backup-simplify]: Simplify -1 into -1 18.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.164 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 18.165 * [backup-simplify]: Simplify (- 0) into 0 18.165 * [backup-simplify]: Simplify (+ 0 0) into 0 18.165 * [taylor]: Taking taylor expansion of 0 in n 18.166 * [backup-simplify]: Simplify 0 into 0 18.166 * [backup-simplify]: Simplify 0 into 0 18.166 * [backup-simplify]: Simplify 0 into 0 18.166 * [backup-simplify]: Simplify 0 into 0 18.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.167 * [backup-simplify]: Simplify (- 0) into 0 18.167 * [backup-simplify]: Simplify 0 into 0 18.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.169 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 18.169 * [backup-simplify]: Simplify (- 0) into 0 18.170 * [backup-simplify]: Simplify (+ 0 0) into 0 18.170 * [taylor]: Taking taylor expansion of 0 in n 18.170 * [backup-simplify]: Simplify 0 into 0 18.170 * [backup-simplify]: Simplify 0 into 0 18.170 * [backup-simplify]: Simplify 0 into 0 18.170 * [backup-simplify]: Simplify (+ (* -1 (pow (* n 1) 2)) (* 1 (pow (* 1 f) 2))) into (- (pow f 2) (pow n 2)) 18.171 * [backup-simplify]: Simplify (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 18.171 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 18.171 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 18.171 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 18.171 * [taylor]: Taking taylor expansion of (pow f 2) in n 18.172 * [taylor]: Taking taylor expansion of f in n 18.172 * [backup-simplify]: Simplify f into f 18.172 * [backup-simplify]: Simplify (* f f) into (pow f 2) 18.172 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 18.172 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 18.172 * [taylor]: Taking taylor expansion of (pow n 2) in n 18.172 * [taylor]: Taking taylor expansion of n in n 18.172 * [backup-simplify]: Simplify 0 into 0 18.172 * [backup-simplify]: Simplify 1 into 1 18.173 * [backup-simplify]: Simplify (* 1 1) into 1 18.173 * [backup-simplify]: Simplify (/ 1 1) into 1 18.173 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 18.173 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 18.173 * [taylor]: Taking taylor expansion of (pow f 2) in f 18.173 * [taylor]: Taking taylor expansion of f in f 18.174 * [backup-simplify]: Simplify 0 into 0 18.174 * [backup-simplify]: Simplify 1 into 1 18.174 * [backup-simplify]: Simplify (* 1 1) into 1 18.174 * [backup-simplify]: Simplify (/ 1 1) into 1 18.175 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 18.175 * [taylor]: Taking taylor expansion of (pow n 2) in f 18.175 * [taylor]: Taking taylor expansion of n in f 18.175 * [backup-simplify]: Simplify n into n 18.175 * [backup-simplify]: Simplify (* n n) into (pow n 2) 18.175 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 18.175 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 18.175 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 18.175 * [taylor]: Taking taylor expansion of (pow f 2) in f 18.175 * [taylor]: Taking taylor expansion of f in f 18.175 * [backup-simplify]: Simplify 0 into 0 18.175 * [backup-simplify]: Simplify 1 into 1 18.176 * [backup-simplify]: Simplify (* 1 1) into 1 18.176 * [backup-simplify]: Simplify (/ 1 1) into 1 18.176 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 18.176 * [taylor]: Taking taylor expansion of (pow n 2) in f 18.176 * [taylor]: Taking taylor expansion of n in f 18.176 * [backup-simplify]: Simplify n into n 18.176 * [backup-simplify]: Simplify (* n n) into (pow n 2) 18.177 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 18.177 * [backup-simplify]: Simplify (+ 1 0) into 1 18.177 * [taylor]: Taking taylor expansion of 1 in n 18.177 * [backup-simplify]: Simplify 1 into 1 18.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.179 * [backup-simplify]: Simplify (+ 0 0) into 0 18.179 * [taylor]: Taking taylor expansion of 0 in n 18.179 * [backup-simplify]: Simplify 0 into 0 18.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.182 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 18.182 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 18.182 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 18.182 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 18.182 * [taylor]: Taking taylor expansion of (pow n 2) in n 18.182 * [taylor]: Taking taylor expansion of n in n 18.182 * [backup-simplify]: Simplify 0 into 0 18.182 * [backup-simplify]: Simplify 1 into 1 18.183 * [backup-simplify]: Simplify (* 1 1) into 1 18.183 * [backup-simplify]: Simplify (/ 1 1) into 1 18.184 * [backup-simplify]: Simplify (- 1) into -1 18.184 * [backup-simplify]: Simplify -1 into -1 18.184 * [backup-simplify]: Simplify 1 into 1 18.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.186 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 18.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 18.187 * [backup-simplify]: Simplify (- 0) into 0 18.187 * [backup-simplify]: Simplify (+ 0 0) into 0 18.187 * [taylor]: Taking taylor expansion of 0 in n 18.187 * [backup-simplify]: Simplify 0 into 0 18.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.189 * [backup-simplify]: Simplify (- 0) into 0 18.189 * [backup-simplify]: Simplify 0 into 0 18.189 * [backup-simplify]: Simplify 0 into 0 18.190 * [backup-simplify]: Simplify 0 into 0 18.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.192 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 18.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 18.193 * [backup-simplify]: Simplify (- 0) into 0 18.194 * [backup-simplify]: Simplify (+ 0 0) into 0 18.194 * [taylor]: Taking taylor expansion of 0 in n 18.194 * [backup-simplify]: Simplify 0 into 0 18.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.197 * [backup-simplify]: Simplify (- 0) into 0 18.197 * [backup-simplify]: Simplify 0 into 0 18.197 * [backup-simplify]: Simplify 0 into 0 18.197 * [backup-simplify]: Simplify 0 into 0 18.198 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 f))) 2)) (* -1 (pow (* (/ 1 (/ 1 n)) 1) 2))) into (- (pow f 2) (pow n 2)) 18.198 * [backup-simplify]: Simplify (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n)))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 18.198 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 18.198 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 18.198 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 18.198 * [taylor]: Taking taylor expansion of (pow f 2) in n 18.198 * [taylor]: Taking taylor expansion of f in n 18.198 * [backup-simplify]: Simplify f into f 18.198 * [backup-simplify]: Simplify (* f f) into (pow f 2) 18.199 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 18.199 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 18.199 * [taylor]: Taking taylor expansion of (pow n 2) in n 18.199 * [taylor]: Taking taylor expansion of n in n 18.199 * [backup-simplify]: Simplify 0 into 0 18.199 * [backup-simplify]: Simplify 1 into 1 18.199 * [backup-simplify]: Simplify (* 1 1) into 1 18.200 * [backup-simplify]: Simplify (/ 1 1) into 1 18.200 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 18.200 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 18.200 * [taylor]: Taking taylor expansion of (pow f 2) in f 18.200 * [taylor]: Taking taylor expansion of f in f 18.200 * [backup-simplify]: Simplify 0 into 0 18.200 * [backup-simplify]: Simplify 1 into 1 18.200 * [backup-simplify]: Simplify (* 1 1) into 1 18.201 * [backup-simplify]: Simplify (/ 1 1) into 1 18.201 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 18.201 * [taylor]: Taking taylor expansion of (pow n 2) in f 18.201 * [taylor]: Taking taylor expansion of n in f 18.201 * [backup-simplify]: Simplify n into n 18.201 * [backup-simplify]: Simplify (* n n) into (pow n 2) 18.201 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 18.201 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 18.201 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 18.202 * [taylor]: Taking taylor expansion of (pow f 2) in f 18.202 * [taylor]: Taking taylor expansion of f in f 18.202 * [backup-simplify]: Simplify 0 into 0 18.202 * [backup-simplify]: Simplify 1 into 1 18.202 * [backup-simplify]: Simplify (* 1 1) into 1 18.203 * [backup-simplify]: Simplify (/ 1 1) into 1 18.203 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 18.203 * [taylor]: Taking taylor expansion of (pow n 2) in f 18.203 * [taylor]: Taking taylor expansion of n in f 18.203 * [backup-simplify]: Simplify n into n 18.203 * [backup-simplify]: Simplify (* n n) into (pow n 2) 18.203 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 18.204 * [backup-simplify]: Simplify (+ 1 0) into 1 18.204 * [taylor]: Taking taylor expansion of 1 in n 18.204 * [backup-simplify]: Simplify 1 into 1 18.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.206 * [backup-simplify]: Simplify (+ 0 0) into 0 18.206 * [taylor]: Taking taylor expansion of 0 in n 18.206 * [backup-simplify]: Simplify 0 into 0 18.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.208 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 18.209 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 18.209 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 18.209 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 18.209 * [taylor]: Taking taylor expansion of (pow n 2) in n 18.209 * [taylor]: Taking taylor expansion of n in n 18.209 * [backup-simplify]: Simplify 0 into 0 18.209 * [backup-simplify]: Simplify 1 into 1 18.209 * [backup-simplify]: Simplify (* 1 1) into 1 18.210 * [backup-simplify]: Simplify (/ 1 1) into 1 18.210 * [backup-simplify]: Simplify (- 1) into -1 18.211 * [backup-simplify]: Simplify -1 into -1 18.211 * [backup-simplify]: Simplify 1 into 1 18.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.213 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 18.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 18.215 * [backup-simplify]: Simplify (- 0) into 0 18.215 * [backup-simplify]: Simplify (+ 0 0) into 0 18.215 * [taylor]: Taking taylor expansion of 0 in n 18.215 * [backup-simplify]: Simplify 0 into 0 18.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.217 * [backup-simplify]: Simplify (- 0) into 0 18.218 * [backup-simplify]: Simplify 0 into 0 18.218 * [backup-simplify]: Simplify 0 into 0 18.218 * [backup-simplify]: Simplify 0 into 0 18.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.221 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 18.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 18.222 * [backup-simplify]: Simplify (- 0) into 0 18.222 * [backup-simplify]: Simplify (+ 0 0) into 0 18.223 * [taylor]: Taking taylor expansion of 0 in n 18.223 * [backup-simplify]: Simplify 0 into 0 18.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.225 * [backup-simplify]: Simplify (- 0) into 0 18.225 * [backup-simplify]: Simplify 0 into 0 18.225 * [backup-simplify]: Simplify 0 into 0 18.225 * [backup-simplify]: Simplify 0 into 0 18.226 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- f)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- n))) 1) 2))) into (- (pow f 2) (pow n 2)) 18.226 * * * [progress]: simplifying candidates 18.230 * [simplify]: Simplifying: (expm1 (/ (- (- (* f f) (* n n))) (fma n n (fma f f (* -2 (* f n)))))) (log1p (/ (- (- (* f f) (* n n))) (fma n n (fma f f (* -2 (* f n)))))) (- (log (- (- (* f f) (* n n)))) (log (fma n n (fma f f (* -2 (* f n)))))) (log (/ (- (- (* f f) (* n n))) (fma n n (fma f f (* -2 (* f n)))))) (exp (/ (- (- (* f f) (* n n))) (fma n n (fma f f (* -2 (* f n)))))) (/ (* (* (- (- (* f f) (* n n))) (- (- (* f f) (* n n)))) (- (- (* f f) (* n n)))) (* (* (fma n n (fma f f (* -2 (* f n)))) (fma n n (fma f f (* -2 (* f n))))) (fma n n (fma f f (* -2 (* f n)))))) (* (cbrt (/ (- (- (* f f) (* n n))) (fma n n (fma f f (* -2 (* f n)))))) (cbrt (/ (- (- (* f f) (* n n))) (fma n n (fma f f (* -2 (* f n))))))) (cbrt (/ (- (- (* f f) (* n n))) (fma n n (fma f f (* -2 (* f n)))))) (* (* (/ (- (- (* f f) (* n n))) (fma n n (fma f f (* -2 (* f n))))) (/ (- (- (* f f) (* n n))) (fma n n (fma f f (* -2 (* f n)))))) (/ (- (- (* f f) (* n n))) (fma n n (fma f f (* -2 (* f n)))))) (sqrt (/ (- (- (* f f) (* n n))) (fma n n (fma f f (* -2 (* f n)))))) (sqrt (/ (- (- (* f f) (* n n))) (fma n n (fma f f (* -2 (* f n)))))) (- (- (- (* f f) (* n n)))) (- (fma n n (fma f f (* -2 (* f n))))) (/ 0 (fma n n (fma f f (* -2 (* f n))))) (/ (- (* f f) (* n n)) (fma n n (fma f f (* -2 (* f n))))) (/ (* (cbrt (- (- (* f f) (* n n)))) (cbrt (- (- (* f f) (* n n))))) (* (cbrt (fma n n (fma f f (* -2 (* f n))))) (cbrt (fma n n (fma f f (* -2 (* f n))))))) (/ (cbrt (- (- (* f f) (* n n)))) (cbrt (fma n n (fma f f (* -2 (* f n)))))) (/ (* (cbrt (- (- (* f f) (* n n)))) (cbrt (- (- (* f f) (* n n))))) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (cbrt (- (- (* f f) (* n n)))) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (* (cbrt (- (- (* f f) (* n n)))) (cbrt (- (- (* f f) (* n n))))) 1) (/ (cbrt (- (- (* f f) (* n n)))) (fma n n (fma f f (* -2 (* f n))))) (/ (sqrt (- (- (* f f) (* n n)))) (* (cbrt (fma n n (fma f f (* -2 (* f n))))) (cbrt (fma n n (fma f f (* -2 (* f n))))))) (/ (sqrt (- (- (* f f) (* n n)))) (cbrt (fma n n (fma f f (* -2 (* f n)))))) (/ (sqrt (- (- (* f f) (* n n)))) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (sqrt (- (- (* f f) (* n n)))) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (sqrt (- (- (* f f) (* n n)))) 1) (/ (sqrt (- (- (* f f) (* n n)))) (fma n n (fma f f (* -2 (* f n))))) (/ 1 (* (cbrt (fma n n (fma f f (* -2 (* f n))))) (cbrt (fma n n (fma f f (* -2 (* f n))))))) (/ (- (- (* f f) (* n n))) (cbrt (fma n n (fma f f (* -2 (* f n)))))) (/ 1 (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (- (- (* f f) (* n n))) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ 1 1) (/ (- (- (* f f) (* n n))) (fma n n (fma f f (* -2 (* f n))))) (/ -1 (* (cbrt (fma n n (fma f f (* -2 (* f n))))) (cbrt (fma n n (fma f f (* -2 (* f n))))))) (/ (- (* f f) (* n n)) (cbrt (fma n n (fma f f (* -2 (* f n)))))) (/ -1 (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (- (* f f) (* n n)) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ -1 1) (/ (- (* f f) (* n n)) (fma n n (fma f f (* -2 (* f n))))) (/ (- (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n))))) (* (cbrt (fma n n (fma f f (* -2 (* f n))))) (cbrt (fma n n (fma f f (* -2 (* f n))))))) (/ (cbrt (- (* f f) (* n n))) (cbrt (fma n n (fma f f (* -2 (* f n)))))) (/ (- (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n))))) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (cbrt (- (* f f) (* n n))) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (- (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n))))) 1) (/ (cbrt (- (* f f) (* n n))) (fma n n (fma f f (* -2 (* f n))))) (/ (- (sqrt (- (* f f) (* n n)))) (* (cbrt (fma n n (fma f f (* -2 (* f n))))) (cbrt (fma n n (fma f f (* -2 (* f n))))))) (/ (sqrt (- (* f f) (* n n))) (cbrt (fma n n (fma f f (* -2 (* f n)))))) (/ (- (sqrt (- (* f f) (* n n)))) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (sqrt (- (* f f) (* n n))) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (- (sqrt (- (* f f) (* n n)))) 1) (/ (sqrt (- (* f f) (* n n))) (fma n n (fma f f (* -2 (* f n))))) (/ (- 1) (* (cbrt (fma n n (fma f f (* -2 (* f n))))) (cbrt (fma n n (fma f f (* -2 (* f n))))))) (/ (- (* f f) (* n n)) (cbrt (fma n n (fma f f (* -2 (* f n)))))) (/ (- 1) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (- (* f f) (* n n)) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (- 1) 1) (/ (- (* f f) (* n n)) (fma n n (fma f f (* -2 (* f n))))) (/ (- (+ f n)) (* (cbrt (fma n n (fma f f (* -2 (* f n))))) (cbrt (fma n n (fma f f (* -2 (* f n))))))) (/ (- f n) (cbrt (fma n n (fma f f (* -2 (* f n)))))) (/ (- (+ f n)) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (- f n) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (- (+ f n)) 1) (/ (- f n) (fma n n (fma f f (* -2 (* f n))))) (/ (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (* (cbrt (fma n n (fma f f (* -2 (* f n))))) (cbrt (fma n n (fma f f (* -2 (* f n))))))) (/ (- (cbrt (- (* f f) (* n n)))) (cbrt (fma n n (fma f f (* -2 (* f n)))))) (/ (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (- (cbrt (- (* f f) (* n n)))) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) 1) (/ (- (cbrt (- (* f f) (* n n)))) (fma n n (fma f f (* -2 (* f n))))) (/ (sqrt (- (* f f) (* n n))) (* (cbrt (fma n n (fma f f (* -2 (* f n))))) (cbrt (fma n n (fma f f (* -2 (* f n))))))) (/ (- (sqrt (- (* f f) (* n n)))) (cbrt (fma n n (fma f f (* -2 (* f n)))))) (/ (sqrt (- (* f f) (* n n))) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (- (sqrt (- (* f f) (* n n)))) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (sqrt (- (* f f) (* n n))) 1) (/ (- (sqrt (- (* f f) (* n n)))) (fma n n (fma f f (* -2 (* f n))))) (/ 1 (* (cbrt (fma n n (fma f f (* -2 (* f n))))) (cbrt (fma n n (fma f f (* -2 (* f n))))))) (/ (- (- (* f f) (* n n))) (cbrt (fma n n (fma f f (* -2 (* f n)))))) (/ 1 (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (- (- (* f f) (* n n))) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ 1 1) (/ (- (- (* f f) (* n n))) (fma n n (fma f f (* -2 (* f n))))) (/ (+ f n) (* (cbrt (fma n n (fma f f (* -2 (* f n))))) (cbrt (fma n n (fma f f (* -2 (* f n))))))) (/ (- (- f n)) (cbrt (fma n n (fma f f (* -2 (* f n)))))) (/ (+ f n) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (- (- f n)) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (+ f n) 1) (/ (- (- f n)) (fma n n (fma f f (* -2 (* f n))))) (/ 1 (fma n n (fma f f (* -2 (* f n))))) (/ (fma n n (fma f f (* -2 (* f n)))) (- (- (* f f) (* n n)))) (/ (- (* f f) (* n n)) (fma n n (fma f f (* -2 (* f n))))) (/ (- (- (* f f) (* n n))) (* (cbrt (fma n n (fma f f (* -2 (* f n))))) (cbrt (fma n n (fma f f (* -2 (* f n))))))) (/ (- (- (* f f) (* n n))) (sqrt (fma n n (fma f f (* -2 (* f n)))))) (/ (- (- (* f f) (* n n))) 1) (/ (fma n n (fma f f (* -2 (* f n)))) (cbrt (- (- (* f f) (* n n))))) (/ (fma n n (fma f f (* -2 (* f n)))) (sqrt (- (- (* f f) (* n n))))) (/ (fma n n (fma f f (* -2 (* f n)))) (- (- (* f f) (* n n)))) (/ (fma n n (fma f f (* -2 (* f n)))) (- (* f f) (* n n))) (/ (fma n n (fma f f (* -2 (* f n)))) (cbrt (- (* f f) (* n n)))) (/ (fma n n (fma f f (* -2 (* f n)))) (sqrt (- (* f f) (* n n)))) (/ (fma n n (fma f f (* -2 (* f n)))) (- (* f f) (* n n))) (/ (fma n n (fma f f (* -2 (* f n)))) (- f n)) (/ (fma n n (fma f f (* -2 (* f n)))) (- (cbrt (- (* f f) (* n n))))) (/ (fma n n (fma f f (* -2 (* f n)))) (- (sqrt (- (* f f) (* n n))))) (/ (fma n n (fma f f (* -2 (* f n)))) (- (- (* f f) (* n n)))) (/ (fma n n (fma f f (* -2 (* f n)))) (- (- f n))) (* (fma n n (fma f f (* -2 (* f n)))) (+ (* (* f f) (* f f)) (+ (* (* n n) (* n n)) (* (* f f) (* n n))))) (* (fma n n (fma f f (* -2 (* f n)))) (+ (* f f) (* n n))) (expm1 (fma n n (fma f f (* -2 (* f n))))) (log1p (fma n n (fma f f (* -2 (* f n))))) (* n n) (log (fma n n (fma f f (* -2 (* f n))))) (exp (fma n n (fma f f (* -2 (* f n))))) (* (cbrt (fma n n (fma f f (* -2 (* f n))))) (cbrt (fma n n (fma f f (* -2 (* f n)))))) (cbrt (fma n n (fma f f (* -2 (* f n))))) (* (* (fma n n (fma f f (* -2 (* f n)))) (fma n n (fma f f (* -2 (* f n))))) (fma n n (fma f f (* -2 (* f n))))) (sqrt (fma n n (fma f f (* -2 (* f n))))) (sqrt (fma n n (fma f f (* -2 (* f n))))) (expm1 (fma f f (* -2 (* f n)))) (log1p (fma f f (* -2 (* f n)))) (* f f) (log (fma f f (* -2 (* f n)))) (exp (fma f f (* -2 (* f n)))) (* (cbrt (fma f f (* -2 (* f n)))) (cbrt (fma f f (* -2 (* f n))))) (cbrt (fma f f (* -2 (* f n)))) (* (* (fma f f (* -2 (* f n))) (fma f f (* -2 (* f n)))) (fma f f (* -2 (* f n)))) (sqrt (fma f f (* -2 (* f n)))) (sqrt (fma f f (* -2 (* f n)))) (fma f f (- (* n n))) (fma (- n) n (* n n)) (expm1 (- (* f f) (* n n))) (log1p (- (* f f) (* n n))) (- (* n n)) (/ (exp (* f f)) (exp (* n n))) (log (- (* f f) (* n n))) (exp (- (* f f) (* n n))) (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (cbrt (- (* f f) (* n n))) (* (* (- (* f f) (* n n)) (- (* f f) (* n n))) (- (* f f) (* n n))) (sqrt (- (* f f) (* n n))) (sqrt (- (* f f) (* n n))) (- (pow (* f f) 3) (pow (* n n) 3)) (+ (* (* f f) (* f f)) (+ (* (* n n) (* n n)) (* (* f f) (* n n)))) (- (* n n)) (- (* (* f f) (* f f)) (* (* n n) (* n n))) (+ (* f f) (* n n)) (+ f n) (- f n) (- (* n n)) 1 -1 -1 (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) (- (pow f 2) (* 2 (* n f))) (- (pow f 2) (* 2 (* n f))) (- (pow f 2) (* 2 (* n f))) (- (pow f 2) (pow n 2)) (- (pow f 2) (pow n 2)) (- (pow f 2) (pow n 2)) 18.237 * * [simplify]: iteration 0: 171 enodes 18.328 * * [simplify]: iteration 1: 385 enodes 18.615 * * [simplify]: iteration 2: 894 enodes 19.632 * * [simplify]: iteration 3: 4140 enodes 22.327 * * [simplify]: iteration complete: 5000 enodes 22.327 * * [simplify]: Extracting #0: cost 116 inf + 0 22.331 * * [simplify]: Extracting #1: cost 750 inf + 3 22.341 * * [simplify]: Extracting #2: cost 1547 inf + 1779 22.365 * * [simplify]: Extracting #3: cost 1239 inf + 50469 22.464 * * [simplify]: Extracting #4: cost 449 inf + 259868 22.631 * * [simplify]: Extracting #5: cost 49 inf + 422073 22.811 * * [simplify]: Extracting #6: cost 5 inf + 442470 23.012 * * [simplify]: Extracting #7: cost 0 inf + 445168 23.204 * [simplify]: Simplified to: (expm1 (/ (fma f (- f) (* n n)) (fma (* -2 n) f (fma n n (* f f))))) (log1p (/ (fma f (- f) (* n n)) (fma (* -2 n) f (fma n n (* f f))))) (log (/ (fma f (- f) (* n n)) (fma (* -2 n) f (fma n n (* f f))))) (log (/ (fma f (- f) (* n n)) (fma (* -2 n) f (fma n n (* f f))))) (exp (/ (fma f (- f) (* n n)) (fma (* -2 n) f (fma n n (* f f))))) (* (* (/ (+ f n) (fma (* -2 n) f (fma n n (* f f)))) (- f n)) (- (* (* (/ (+ f n) (fma (* -2 n) f (fma n n (* f f)))) (- f n)) (* (/ (+ f n) (fma (* -2 n) f (fma n n (* f f)))) (- f n))))) (* (cbrt (/ (fma f (- f) (* n n)) (fma (* -2 n) f (fma n n (* f f))))) (cbrt (/ (fma f (- f) (* n n)) (fma (* -2 n) f (fma n n (* f f)))))) (cbrt (/ (fma f (- f) (* n n)) (fma (* -2 n) f (fma n n (* f f))))) (* (* (/ (+ f n) (fma (* -2 n) f (fma n n (* f f)))) (- f n)) (- (* (* (/ (+ f n) (fma (* -2 n) f (fma n n (* f f)))) (- f n)) (* (/ (+ f n) (fma (* -2 n) f (fma n n (* f f)))) (- f n))))) (sqrt (/ (fma f (- f) (* n n)) (fma (* -2 n) f (fma n n (* f f))))) (sqrt (/ (fma f (- f) (* n n)) (fma (* -2 n) f (fma n n (* f f))))) (* (+ f n) (- f n)) (- (fma (* -2 n) f (fma n n (* f f)))) 0 (* (/ (+ f n) (fma (* -2 n) f (fma n n (* f f)))) (- f n)) (* (/ (cbrt (fma f (- f) (* n n))) (cbrt (fma (* -2 n) f (fma n n (* f f))))) (/ (cbrt (fma f (- f) (* n n))) (cbrt (fma (* -2 n) f (fma n n (* f f)))))) (/ (cbrt (fma f (- f) (* n n))) (cbrt (fma (* -2 n) f (fma n n (* f f))))) (/ (cbrt (fma f (- f) (* n n))) (/ (sqrt (fma (* -2 n) f (fma n n (* f f)))) (cbrt (fma f (- f) (* n n))))) (/ (cbrt (fma f (- f) (* n n))) (sqrt (fma (* -2 n) f (fma n n (* f f))))) (* (cbrt (fma f (- f) (* n n))) (cbrt (fma f (- f) (* n n)))) (/ (cbrt (fma f (- f) (* n n))) (fma (* -2 n) f (fma n n (* f f)))) (/ (/ (sqrt (fma f (- f) (* n n))) (cbrt (fma (* -2 n) f (fma n n (* f f))))) (cbrt (fma (* -2 n) f (fma n n (* f f))))) (/ (sqrt (fma f (- f) (* n n))) (cbrt (fma (* -2 n) f (fma n n (* f f))))) (/ (sqrt (fma f (- f) (* n n))) (sqrt (fma (* -2 n) f (fma n n (* f f))))) (/ (sqrt (fma f (- f) (* n n))) (sqrt (fma (* -2 n) f (fma n n (* f f))))) (sqrt (fma f (- f) (* n n))) (/ (sqrt (fma f (- f) (* n n))) (fma (* -2 n) f (fma n n (* f f)))) (/ 1 (* (cbrt (fma (* -2 n) f (fma n n (* f f)))) (cbrt (fma (* -2 n) f (fma n n (* f f)))))) (/ (fma f (- f) (* n n)) (cbrt (fma (* -2 n) f (fma n n (* f f))))) (/ 1 (sqrt (fma (* -2 n) f (fma n n (* f f))))) (/ (fma f (- f) (* n n)) (sqrt (fma (* -2 n) f (fma n n (* f f))))) 1 (/ (fma f (- f) (* n n)) (fma (* -2 n) f (fma n n (* f f)))) (/ -1 (* (cbrt (fma (* -2 n) f (fma n n (* f f)))) (cbrt (fma (* -2 n) f (fma n n (* f f)))))) (/ (+ f n) (/ (cbrt (fma (* -2 n) f (fma n n (* f f)))) (- f n))) (/ -1 (sqrt (fma (* -2 n) f (fma n n (* f f))))) (/ (+ f n) (/ (sqrt (fma (* -2 n) f (fma n n (* f f)))) (- f n))) -1 (* (/ (+ f n) (fma (* -2 n) f (fma n n (* f f)))) (- f n)) (* (/ (cbrt (* (+ f n) (- f n))) (cbrt (fma (* -2 n) f (fma n n (* f f))))) (- (/ (cbrt (* (+ f n) (- f n))) (cbrt (fma (* -2 n) f (fma n n (* f f))))))) (/ (cbrt (* (+ f n) (- f n))) (cbrt (fma (* -2 n) f (fma n n (* f f))))) (- (/ (cbrt (* (+ f n) (- f n))) (/ (sqrt (fma (* -2 n) f (fma n n (* f f)))) (cbrt (* (+ f n) (- f n)))))) (/ (cbrt (* (+ f n) (- f n))) (sqrt (fma (* -2 n) f (fma n n (* f f))))) (* (- (cbrt (* (+ f n) (- f n)))) (cbrt (* (+ f n) (- f n)))) (/ (cbrt (* (+ f n) (- f n))) (fma (* -2 n) f (fma n n (* f f)))) (- (/ (/ (sqrt (* (+ f n) (- f n))) (cbrt (fma (* -2 n) f (fma n n (* f f))))) (cbrt (fma (* -2 n) f (fma n n (* f f)))))) (/ (sqrt (* (+ f n) (- f n))) (cbrt (fma (* -2 n) f (fma n n (* f f))))) (- (/ (sqrt (* (+ f n) (- f n))) (sqrt (fma (* -2 n) f (fma n n (* f f)))))) (/ (sqrt (* (+ f n) (- f n))) (sqrt (fma (* -2 n) f (fma n n (* f f))))) (- (sqrt (* (+ f n) (- f n)))) (/ (sqrt (* (+ f n) (- f n))) (fma (* -2 n) f (fma n n (* f f)))) (/ -1 (* (cbrt (fma (* -2 n) f (fma n n (* f f)))) (cbrt (fma (* -2 n) f (fma n n (* f f)))))) (/ (+ f n) (/ (cbrt (fma (* -2 n) f (fma n n (* f f)))) (- f n))) (/ -1 (sqrt (fma (* -2 n) f (fma n n (* f f))))) (/ (+ f n) (/ (sqrt (fma (* -2 n) f (fma n n (* f f)))) (- f n))) -1 (* (/ (+ f n) (fma (* -2 n) f (fma n n (* f f)))) (- f n)) (/ (- (- n) f) (* (cbrt (fma (* -2 n) f (fma n n (* f f)))) (cbrt (fma (* -2 n) f (fma n n (* f f)))))) (/ (- f n) (cbrt (fma (* -2 n) f (fma n n (* f f))))) (/ (- (- n) f) (sqrt (fma (* -2 n) f (fma n n (* f f))))) (/ (- f n) (sqrt (fma (* -2 n) f (fma n n (* f f))))) (- (- n) f) (/ (- f n) (fma (* -2 n) f (fma n n (* f f)))) (* (/ (cbrt (* (+ f n) (- f n))) (cbrt (fma (* -2 n) f (fma n n (* f f))))) (/ (cbrt (* (+ f n) (- f n))) (cbrt (fma (* -2 n) f (fma n n (* f f)))))) (- (/ (cbrt (* (+ f n) (- f n))) (cbrt (fma (* -2 n) f (fma n n (* f f)))))) (* (/ (cbrt (* (+ f n) (- f n))) (sqrt (fma (* -2 n) f (fma n n (* f f))))) (cbrt (* (+ f n) (- f n)))) (- (/ (cbrt (* (+ f n) (- f n))) (sqrt (fma (* -2 n) f (fma n n (* f f)))))) (* (cbrt (* (+ f n) (- f n))) (cbrt (* (+ f n) (- f n)))) (- (/ (cbrt (* (+ f n) (- f n))) (fma (* -2 n) f (fma n n (* f f))))) (/ (/ (sqrt (* (+ f n) (- f n))) (cbrt (fma (* -2 n) f (fma n n (* f f))))) (cbrt (fma (* -2 n) f (fma n n (* f f))))) (- (/ (sqrt (* (+ f n) (- f n))) (cbrt (fma (* -2 n) f (fma n n (* f f)))))) (/ (sqrt (* (+ f n) (- f n))) (sqrt (fma (* -2 n) f (fma n n (* f f))))) (- (/ (sqrt (* (+ f n) (- f n))) (sqrt (fma (* -2 n) f (fma n n (* f f)))))) (sqrt (* (+ f n) (- f n))) (/ (- (sqrt (* (+ f n) (- f n)))) (fma (* -2 n) f (fma n n (* f f)))) (/ 1 (* (cbrt (fma (* -2 n) f (fma n n (* f f)))) (cbrt (fma (* -2 n) f (fma n n (* f f)))))) (/ (fma f (- f) (* n n)) (cbrt (fma (* -2 n) f (fma n n (* f f))))) (/ 1 (sqrt (fma (* -2 n) f (fma n n (* f f))))) (/ (fma f (- f) (* n n)) (sqrt (fma (* -2 n) f (fma n n (* f f))))) 1 (/ (fma f (- f) (* n n)) (fma (* -2 n) f (fma n n (* f f)))) (/ (/ (+ f n) (cbrt (fma (* -2 n) f (fma n n (* f f))))) (cbrt (fma (* -2 n) f (fma n n (* f f))))) (- (/ (- f n) (cbrt (fma (* -2 n) f (fma n n (* f f)))))) (/ (+ f n) (sqrt (fma (* -2 n) f (fma n n (* f f))))) (/ (+ n (- f)) (sqrt (fma (* -2 n) f (fma n n (* f f))))) (+ f n) (/ (+ n (- f)) (fma (* -2 n) f (fma n n (* f f)))) (/ 1 (fma (* -2 n) f (fma n n (* f f)))) (/ (fma (* -2 n) f (fma n n (* f f))) (fma f (- f) (* n n))) (* (/ (+ f n) (fma (* -2 n) f (fma n n (* f f)))) (- f n)) (/ (fma f (- f) (* n n)) (* (cbrt (fma (* -2 n) f (fma n n (* f f)))) (cbrt (fma (* -2 n) f (fma n n (* f f)))))) (/ (fma f (- f) (* n n)) (sqrt (fma (* -2 n) f (fma n n (* f f))))) (fma f (- f) (* n n)) (/ (fma (* -2 n) f (fma n n (* f f))) (cbrt (fma f (- f) (* n n)))) (/ (fma (* -2 n) f (fma n n (* f f))) (sqrt (fma f (- f) (* n n)))) (/ (fma (* -2 n) f (fma n n (* f f))) (fma f (- f) (* n n))) (/ (fma (* -2 n) f (fma n n (* f f))) (* (+ f n) (- f n))) (/ (fma (* -2 n) f (fma n n (* f f))) (cbrt (* (+ f n) (- f n)))) (/ (fma (* -2 n) f (fma n n (* f f))) (sqrt (* (+ f n) (- f n)))) (/ (fma (* -2 n) f (fma n n (* f f))) (* (+ f n) (- f n))) (/ (fma (* -2 n) f (fma n n (* f f))) (- f n)) (/ (fma (* -2 n) f (fma n n (* f f))) (- (cbrt (* (+ f n) (- f n))))) (/ (fma (* -2 n) f (fma n n (* f f))) (- (sqrt (* (+ f n) (- f n))))) (/ (fma (* -2 n) f (fma n n (* f f))) (fma f (- f) (* n n))) (/ (fma (* -2 n) f (fma n n (* f f))) (+ n (- f))) (fma (* n n) (fma (* f f) (* n n) (fma (* n n) (* n n) (* (* f f) (* f f)))) (* (fma -2 (* f n) (* f f)) (fma (* f f) (* n n) (fma (* n n) (* n n) (* (* f f) (* f f)))))) (* (fma (* -2 n) f (fma n n (* f f))) (fma n n (* f f))) (expm1 (fma (* -2 n) f (fma n n (* f f)))) (log1p (fma (* -2 n) f (fma n n (* f f)))) (* n n) (log (fma (* -2 n) f (fma n n (* f f)))) (exp (fma (* -2 n) f (fma n n (* f f)))) (* (cbrt (fma (* -2 n) f (fma n n (* f f)))) (cbrt (fma (* -2 n) f (fma n n (* f f))))) (cbrt (fma (* -2 n) f (fma n n (* f f)))) (* (* (fma (* -2 n) f (fma n n (* f f))) (fma (* -2 n) f (fma n n (* f f)))) (fma (* -2 n) f (fma n n (* f f)))) (sqrt (fma (* -2 n) f (fma n n (* f f)))) (sqrt (fma (* -2 n) f (fma n n (* f f)))) (expm1 (fma -2 (* f n) (* f f))) (log1p (fma -2 (* f n) (* f f))) (* f f) (log (fma -2 (* f n) (* f f))) (exp (fma -2 (* f n) (* f f))) (* (cbrt (fma -2 (* f n) (* f f))) (cbrt (fma -2 (* f n) (* f f)))) (cbrt (fma -2 (* f n) (* f f))) (* (fma -2 (* f n) (* f f)) (* (fma -2 (* f n) (* f f)) (fma -2 (* f n) (* f f)))) (sqrt (fma -2 (* f n) (* f f))) (sqrt (fma -2 (* f n) (* f f))) (* (+ f n) (- f n)) (fma n n (* (- n) n)) (expm1 (* (+ f n) (- f n))) (log1p (* (+ f n) (- f n))) (* (- n) n) (exp (* (+ f n) (- f n))) (log (* (+ f n) (- f n))) (exp (* (+ f n) (- f n))) (* (cbrt (* (+ f n) (- f n))) (cbrt (* (+ f n) (- f n)))) (cbrt (* (+ f n) (- f n))) (* (* (* (+ f n) (- f n)) (* (+ f n) (- f n))) (* (+ f n) (- f n))) (sqrt (* (+ f n) (- f n))) (sqrt (* (+ f n) (- f n))) (- (* (* (* f f) (* f f)) (* f f)) (* (* (* n n) n) (* (* n n) n))) (fma (* f f) (* n n) (fma (* n n) (* n n) (* (* f f) (* f f)))) (* (- n) n) (- (* (* f f) (* f f)) (* (* n n) (* n n))) (fma n n (* f f)) (+ f n) (- f n) (* (- n) n) 1 -1 -1 (fma (* -2 n) f (fma n n (* f f))) (fma (* -2 n) f (fma n n (* f f))) (fma (* -2 n) f (fma n n (* f f))) (fma -2 (* f n) (* f f)) (fma -2 (* f n) (* f f)) (fma -2 (* f n) (* f f)) (* (+ f n) (- f n)) (* (+ f n) (- f n)) (* (+ f n) (- f n)) 23.229 * * * [progress]: adding candidates to table 24.286 * [progress]: [Phase 3 of 3] Extracting. 24.287 * * [regime]: Finding splitpoints for: (# # # # #) 24.290 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 24.290 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # # # #) 24.366 * * * * [regimes]: Trying to branch on n from (# # # # #) 24.456 * * * * [regimes]: Trying to branch on f from (# # # # #) 24.546 * * * [regime]: Found split indices: #