37.011 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.023 * * [simplify]: iteration 0 : 9 enodes (cost 15 ) 0.025 * * [simplify]: iteration 1 : 22 enodes (cost 15 ) 0.027 * * [simplify]: iteration 2 : 47 enodes (cost 15 ) 0.034 * * [simplify]: iteration 3 : 86 enodes (cost 15 ) 0.050 * * [simplify]: iteration 4 : 166 enodes (cost 15 ) 0.076 * * [simplify]: iteration 5 : 291 enodes (cost 15 ) 0.131 * * [simplify]: iteration 6 : 520 enodes (cost 15 ) 0.304 * * [simplify]: iteration 7 : 1010 enodes (cost 15 ) 0.798 * * [simplify]: iteration done : 5001 enodes (cost 15 ) 0.798 * [simplify]: Simplified to: (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) 0.806 * * [progress]: iteration 1 / 4 0.806 * * * [progress]: picking best candidate 0.809 * * * * [pick]: Picked # 0.809 * * * [progress]: localizing error 0.817 * * * [progress]: generating rewritten candidates 0.818 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.828 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.858 * * * [progress]: generating series expansions 0.858 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.858 * [approximate]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.858 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in y 0.858 * [taylor]: Taking taylor expansion of (+ x y) in y 0.858 * [taylor]: Taking taylor expansion of x in y 0.858 * [taylor]: Taking taylor expansion of y in y 0.858 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.858 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.858 * [taylor]: Taking taylor expansion of x in y 0.858 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.858 * [taylor]: Taking taylor expansion of y in y 0.858 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in x 0.858 * [taylor]: Taking taylor expansion of (+ x y) in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of y in x 0.858 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.858 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.858 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in x 0.859 * [taylor]: Taking taylor expansion of (+ x y) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.859 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.861 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.861 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.861 * [taylor]: Taking taylor expansion of y in y 0.865 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.865 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.865 * [taylor]: Taking taylor expansion of y in y 0.872 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.872 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.872 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.872 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.872 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.872 * [taylor]: Taking taylor expansion of x in y 0.872 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.872 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.872 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.872 * [taylor]: Taking taylor expansion of x in y 0.872 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.872 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.874 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.874 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.874 * [taylor]: Taking taylor expansion of y in x 0.874 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.874 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.874 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.875 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.875 * [taylor]: Taking taylor expansion of y in x 0.876 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.876 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.876 * [taylor]: Taking taylor expansion of y in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.876 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of 1 in y 0.879 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.879 * [taylor]: Taking taylor expansion of y in y 0.887 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.887 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.887 * [taylor]: Taking taylor expansion of y in y 0.891 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.891 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.891 * [taylor]: Taking taylor expansion of -1 in y 0.891 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.891 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.891 * [taylor]: Taking taylor expansion of x in y 0.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.892 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.892 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.892 * [taylor]: Taking taylor expansion of x in y 0.892 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.892 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.892 * [taylor]: Taking taylor expansion of y in y 0.893 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.893 * [taylor]: Taking taylor expansion of -1 in x 0.893 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.893 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.893 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.893 * [taylor]: Taking taylor expansion of y in x 0.893 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.893 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.893 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.894 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.894 * [taylor]: Taking taylor expansion of y in x 0.895 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.895 * [taylor]: Taking taylor expansion of -1 in x 0.895 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.895 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.895 * [taylor]: Taking taylor expansion of y in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.895 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.896 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.896 * [taylor]: Taking taylor expansion of y in x 0.897 * [taylor]: Taking taylor expansion of -1 in y 0.899 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.903 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.903 * [taylor]: Taking taylor expansion of y in y 0.907 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.908 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.908 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.908 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.908 * [taylor]: Taking taylor expansion of (+ x y) in y 0.908 * [taylor]: Taking taylor expansion of x in y 0.908 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of (- x y) in y 0.908 * [taylor]: Taking taylor expansion of x in y 0.908 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.908 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.908 * [taylor]: Taking taylor expansion of x in y 0.908 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.908 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.908 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.908 * [taylor]: Taking taylor expansion of (+ x y) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of y in x 0.908 * [taylor]: Taking taylor expansion of (- x y) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of y in x 0.908 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.908 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.909 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.909 * [taylor]: Taking taylor expansion of (+ x y) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of (- x y) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.909 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.910 * [taylor]: Taking taylor expansion of -1 in y 0.911 * [taylor]: Taking taylor expansion of 0 in y 0.913 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.913 * [taylor]: Taking taylor expansion of 2 in y 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of 0 in y 0.919 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.919 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.919 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.919 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.919 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.919 * [taylor]: Taking taylor expansion of x in y 0.919 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.919 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.919 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.920 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.920 * [taylor]: Taking taylor expansion of x in y 0.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.920 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.920 * [taylor]: Taking taylor expansion of x in y 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.920 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.920 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.922 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.922 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.922 * [taylor]: Taking taylor expansion of y in x 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.922 * [taylor]: Taking taylor expansion of y in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.923 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.923 * [taylor]: Taking taylor expansion of y in x 0.924 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.925 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.925 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.925 * [taylor]: Taking taylor expansion of y in x 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.925 * [taylor]: Taking taylor expansion of y in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.925 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.926 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.926 * [taylor]: Taking taylor expansion of y in x 0.927 * [taylor]: Taking taylor expansion of 1 in y 0.930 * [taylor]: Taking taylor expansion of 0 in y 0.934 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.934 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.934 * [taylor]: Taking taylor expansion of 2 in y 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.934 * [taylor]: Taking taylor expansion of y in y 0.942 * [taylor]: Taking taylor expansion of 0 in y 0.943 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.943 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.943 * [taylor]: Taking taylor expansion of -1 in y 0.943 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.943 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.943 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.943 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.943 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.943 * [taylor]: Taking taylor expansion of x in y 0.943 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.943 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.943 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.943 * [taylor]: Taking taylor expansion of x in y 0.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.943 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.943 * [taylor]: Taking taylor expansion of x in y 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.944 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.944 * [taylor]: Taking taylor expansion of y in y 0.945 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.945 * [taylor]: Taking taylor expansion of -1 in x 0.945 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.945 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.945 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.945 * [taylor]: Taking taylor expansion of y in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.946 * [taylor]: Taking taylor expansion of y in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.946 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.947 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.947 * [taylor]: Taking taylor expansion of y in x 0.948 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.948 * [taylor]: Taking taylor expansion of -1 in x 0.948 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.948 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.948 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.948 * [taylor]: Taking taylor expansion of y in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.949 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.949 * [taylor]: Taking taylor expansion of y in x 0.949 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.949 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.950 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.950 * [taylor]: Taking taylor expansion of y in x 0.951 * [taylor]: Taking taylor expansion of 1 in y 0.954 * [taylor]: Taking taylor expansion of 0 in y 0.959 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.959 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.959 * [taylor]: Taking taylor expansion of 2 in y 0.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.959 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.959 * [taylor]: Taking taylor expansion of y in y 0.968 * [taylor]: Taking taylor expansion of 0 in y 0.968 * * * [progress]: simplifying candidates 0.973 * [simplify]: Simplifying using # : (- (log (+ x y)) (log (+ (* x x) (* y y)))) (log (/ (+ x y) (+ (* x x) (* y y)))) (exp (/ (+ x y) (+ (* x x) (* y y)))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (cbrt (/ (+ x y) (+ (* x x) (* y y))))) (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (* (* (/ (+ x y) (+ (* x x) (* y y))) (/ (+ x y) (+ (* x x) (* y y)))) (/ (+ x y) (+ (* x x) (* y y)))) (sqrt (/ (+ x y) (+ (* x x) (* y y)))) (sqrt (/ (+ x y) (+ (* x x) (* y y)))) (- (+ x y)) (- (+ (* x x) (* y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (cbrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (* x x) (* y y)))) (/ (cbrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ (* x x) (* y y))) (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ 1 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ 1 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) 1) (/ (+ (* x x) (* y y)) (cbrt (+ x y))) (/ (+ (* x x) (* y y)) (sqrt (+ x y))) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ x y) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (+ x y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (+ (log (- x y)) (- (log (+ x y)) (log (+ (* x x) (* y y))))) (+ (log (- x y)) (log (/ (+ x y) (+ (* x x) (* y y))))) (log (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (exp (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (* (* (* (- x y) (- x y)) (- x y)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))) (* (* (* (- x y) (- x y)) (- x y)) (* (* (/ (+ x y) (+ (* x x) (* y y))) (/ (+ x y) (+ (* x x) (* y y)))) (/ (+ x y) (+ (* x x) (* y y))))) (* (cbrt (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (cbrt (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))))) (cbrt (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (* (* (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (sqrt (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (sqrt (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (* (- (pow x 3) (pow y 3)) (+ x y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (* y y))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (* x x) (* y y))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (- x y) (* (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (cbrt (/ (+ x y) (+ (* x x) (* y y)))))) (* (- x y) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (* x x) (* y y))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (- x y) (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (- x y) (/ (sqrt (+ x y)) 1)) (* (- x y) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ 1 (sqrt (+ (* x x) (* y y))))) (* (- x y) (/ 1 1)) (* (- x y) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ 1 (sqrt (+ (* x x) (* y y))))) (* (- x y) (/ 1 1)) (* (- x y) 1) (* (- x y) (+ x y)) (* (- x y) (/ (+ x y) (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (- x y) (/ (+ x y) (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (cbrt (- x y)) (/ (+ x y) (+ (* x x) (* y y)))) (* (sqrt (- x y)) (/ (+ x y) (+ (* x x) (* y y)))) (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (* (- (sqrt x) (sqrt y)) (/ (+ x y) (+ (* x x) (* y y)))) (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (* (- x y) (+ x y)) (* (- (pow x 3) (pow y 3)) (/ (+ x y) (+ (* x x) (* y y)))) (* (- (* x x) (* y y)) (/ (+ x y) (+ (* x x) (* y y)))) 0 0 0 -1 1 1 0.977 * * [simplify]: iteration 0 : 122 enodes (cost 1519 ) 1.001 * * [simplify]: iteration 1 : 344 enodes (cost 1471 ) 1.081 * * [simplify]: iteration 2 : 1371 enodes (cost 1321 ) 1.602 * * [simplify]: iteration done : 5001 enodes (cost 1321 ) 1.603 * [simplify]: Simplified to: (log (/ (+ x y) (+ (* x x) (* y y)))) (log (/ (+ x y) (+ (* x x) (* y y)))) (exp (/ (+ x y) (+ (* x x) (* y y)))) (pow (/ (+ x y) (+ (* x x) (* y y))) 3) (* (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (cbrt (/ (+ x y) (+ (* x x) (* y y))))) (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (pow (/ (+ x y) (+ (* x x) (* y y))) 3) (sqrt (/ (+ x y) (+ (* x x) (* y y)))) (sqrt (/ (+ x y) (+ (* x x) (* y y)))) (- (+ x y)) (- (+ (* x x) (* y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (cbrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (* x x) (* y y)))) (/ (cbrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ (* x x) (* y y))) (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) 1 (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) 1 (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (+ x y) (/ (+ (* x x) (* y y)) (cbrt (+ x y))) (/ (+ (* x x) (* y y)) (sqrt (+ x y))) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ x y) (+ (pow x 6) (pow y 6))) (/ (+ x y) (- (pow x 4) (pow y 4))) (* (+ (* x x) (* y y)) (+ (* x x) (* y (- y x)))) (* (+ (* x x) (* y y)) (- x y)) (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (log (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (log (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (log (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (exp (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (pow (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) 3) (pow (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) 3) (* (cbrt (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (cbrt (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))))) (cbrt (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (pow (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) 3) (sqrt (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (sqrt (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (* (- (pow x 3) (pow y 3)) (+ x y)) (* (+ (* x x) (* y y)) (+ (* y (+ x y)) (* x x))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (* x x) (* y y))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (- x y) (* (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (cbrt (/ (+ x y) (+ (* x x) (* y y)))))) (* (- x y) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (* x x) (* y y))))) (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- x y) (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (- x y) (sqrt (+ x y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (- x y) (- x y) (* (- x y) (+ x y)) (/ (- x y) (/ (+ (pow x 6) (pow y 6)) (+ x y))) (/ (+ x y) (/ (- (pow x 4) (pow y 4)) (- x y))) (* (cbrt (- x y)) (/ (+ x y) (+ (* x x) (* y y)))) (* (sqrt (- x y)) (/ (+ x y) (+ (* x x) (* y y)))) (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (* (- (sqrt x) (sqrt y)) (/ (+ x y) (+ (* x x) (* y y)))) (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (* (- x y) (+ x y)) (* (- (pow x 3) (pow y 3)) (/ (+ x y) (+ (* x x) (* y y)))) (* (- (* x x) (* y y)) (/ (+ x y) (+ (* x x) (* y y)))) 0 0 0 -1 1 1 1.604 * * * [progress]: adding candidates to table 1.761 * * [progress]: iteration 2 / 4 1.761 * * * [progress]: picking best candidate 1.763 * * * * [pick]: Picked # 1.763 * * * [progress]: localizing error 1.763 * * * [progress]: generating rewritten candidates 1.763 * * * [progress]: generating series expansions 1.763 * * * [progress]: simplifying candidates 1.763 * [simplify]: Simplifying using # : 1.764 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.764 * * [simplify]: iteration done : 0 enodes (cost 0 ) 1.764 * [simplify]: Simplified to: 1.764 * * * [progress]: adding candidates to table 1.764 * * [progress]: iteration 3 / 4 1.764 * * * [progress]: picking best candidate 1.765 * * * * [pick]: Picked # 1.765 * * * [progress]: localizing error 1.766 * * * [progress]: generating rewritten candidates 1.766 * * * [progress]: generating series expansions 1.766 * * * [progress]: simplifying candidates 1.766 * [simplify]: Simplifying using # : 1.767 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.767 * * [simplify]: iteration done : 0 enodes (cost 0 ) 1.767 * [simplify]: Simplified to: 1.767 * * * [progress]: adding candidates to table 1.767 * [progress]: [Phase 3 of 3] Extracting. 1.767 * * [regime]: Finding splitpoints for: (# #) 1.767 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.767 * * * * [regimes]: Trying to branch on y from (# #) 1.791 * * * * [regimes]: Trying to branch on x from (# #) 1.809 * * * [regime]: Found split indices: #