14.774 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.051 * * * [progress]: [2/2] Setting up program. 0.054 * [progress]: [Phase 2 of 3] Improving. 0.054 * [simplify]: Simplifying: (- (pow x 4.0) (pow y 4.0)) 0.054 * * [simplify]: Extracting # 0 : cost 0 0.054 * * [simplify]: Extracting # 1 : cost 0 0.054 * * [simplify]: Extracting # 2 : cost 0 0.054 * * [simplify]: Extracting # 3 : cost 0 0.054 * * [simplify]: Extracting # 4 : cost 0 0.054 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.056 * * [simplify]: Extracting # 0 : cost 0 0.056 * * [simplify]: Extracting # 1 : cost 0 0.056 * * [simplify]: Extracting # 2 : cost 0 0.057 * * [simplify]: Extracting # 3 : cost 0 0.057 * * [simplify]: Extracting # 4 : cost 0 0.057 * * [simplify]: iteration 1 : 14 enodes (cost 7 ) 0.063 * * [simplify]: Extracting # 0 : cost 0 0.063 * * [simplify]: Extracting # 1 : cost 0 0.063 * * [simplify]: Extracting # 2 : cost 0 0.063 * * [simplify]: Extracting # 3 : cost 0 0.063 * * [simplify]: Extracting # 4 : cost 0 0.063 * * [simplify]: iteration 2 : 29 enodes (cost 7 ) 0.094 * * [simplify]: Extracting # 0 : cost 0 0.094 * * [simplify]: Extracting # 1 : cost 0 0.094 * * [simplify]: Extracting # 2 : cost 0 0.095 * * [simplify]: Extracting # 3 : cost 0 0.095 * * [simplify]: Extracting # 4 : cost 0 0.095 * * [simplify]: Extracting # 5 : cost 0 0.095 * * [simplify]: iteration 3 : 69 enodes (cost 7 ) 0.130 * * [simplify]: Extracting # 0 : cost 0 0.130 * * [simplify]: Extracting # 1 : cost 0 0.130 * * [simplify]: Extracting # 2 : cost 0 0.131 * * [simplify]: Extracting # 3 : cost 0 0.131 * * [simplify]: Extracting # 4 : cost 0 0.131 * * [simplify]: iteration 4 : 200 enodes (cost 7 ) 0.255 * * [simplify]: Extracting # 0 : cost 0 0.256 * * [simplify]: Extracting # 1 : cost 0 0.257 * * [simplify]: Extracting # 2 : cost 0 0.258 * * [simplify]: Extracting # 3 : cost 0 0.259 * * [simplify]: Extracting # 4 : cost 0 0.259 * * [simplify]: Extracting # 5 : cost 0 0.260 * * [simplify]: iteration 5 : 611 enodes (cost 7 ) 0.952 * * [simplify]: Extracting # 0 : cost 0 0.966 * * [simplify]: Extracting # 1 : cost 0 0.972 * * [simplify]: Extracting # 2 : cost 0 0.977 * * [simplify]: Extracting # 3 : cost 0 0.982 * * [simplify]: Extracting # 4 : cost 0 0.987 * * [simplify]: iteration 6 : 2916 enodes (cost 7 ) 2.717 * * [simplify]: Extracting # 0 : cost 0 2.727 * * [simplify]: Extracting # 1 : cost 0 2.738 * * [simplify]: Extracting # 2 : cost 0 2.747 * * [simplify]: Extracting # 3 : cost 0 2.756 * * [simplify]: Extracting # 4 : cost 0 2.771 * * [simplify]: iteration done: 5000 enodes (cost 7 ) 2.772 * [simplify]: Simplified to: (- (pow x 4.0) (pow y 4.0)) 2.772 * * [progress]: iteration 1 / 4 2.772 * * * [progress]: picking best candidate 2.776 * * * * [pick]: Picked # 2.776 * * * [progress]: localizing error 2.789 * * * [progress]: generating rewritten candidates 2.789 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.815 * * * [progress]: generating series expansions 2.816 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.816 * [backup-simplify]: Simplify (- (pow x 4.0) (pow y 4.0)) into (- (pow x 4) (pow y 4)) 2.816 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (x y) around 0 2.816 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 2.816 * [taylor]: Taking taylor expansion of (pow x 4) in y 2.816 * [taylor]: Taking taylor expansion of x in y 2.816 * [backup-simplify]: Simplify x into x 2.816 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.816 * [taylor]: Taking taylor expansion of y in y 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 1 into 1 2.816 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 2.816 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.816 * [taylor]: Taking taylor expansion of x in x 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 1 into 1 2.816 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.816 * [taylor]: Taking taylor expansion of y in x 2.816 * [backup-simplify]: Simplify y into y 2.816 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 2.816 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.816 * [taylor]: Taking taylor expansion of x in x 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 1 into 1 2.816 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.816 * [taylor]: Taking taylor expansion of y in x 2.816 * [backup-simplify]: Simplify y into y 2.816 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.817 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.817 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 2.817 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 2.817 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 2.817 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.817 * [taylor]: Taking taylor expansion of y in y 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 1 into 1 2.817 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.817 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.818 * [backup-simplify]: Simplify (- 0) into 0 2.818 * [backup-simplify]: Simplify (+ 0 0) into 0 2.818 * [taylor]: Taking taylor expansion of 0 in y 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.819 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.819 * [backup-simplify]: Simplify (- 0) into 0 2.819 * [backup-simplify]: Simplify (+ 0 0) into 0 2.819 * [taylor]: Taking taylor expansion of 0 in y 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.821 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.821 * [backup-simplify]: Simplify (- 0) into 0 2.821 * [backup-simplify]: Simplify (+ 0 0) into 0 2.821 * [taylor]: Taking taylor expansion of 0 in y 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 2.821 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 2.821 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 2.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 2.822 * [taylor]: Taking taylor expansion of (pow x 4) in y 2.822 * [taylor]: Taking taylor expansion of x in y 2.822 * [backup-simplify]: Simplify x into x 2.822 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.822 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.822 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 2.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.822 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.822 * [taylor]: Taking taylor expansion of y in y 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify 1 into 1 2.822 * [backup-simplify]: Simplify (* 1 1) into 1 2.822 * [backup-simplify]: Simplify (* 1 1) into 1 2.823 * [backup-simplify]: Simplify (/ 1 1) into 1 2.823 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.823 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.823 * [taylor]: Taking taylor expansion of x in x 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [backup-simplify]: Simplify (* 1 1) into 1 2.824 * [backup-simplify]: Simplify (* 1 1) into 1 2.824 * [backup-simplify]: Simplify (/ 1 1) into 1 2.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.824 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.824 * [taylor]: Taking taylor expansion of y in x 2.824 * [backup-simplify]: Simplify y into y 2.824 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.824 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.825 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.825 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.825 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.825 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.825 * [taylor]: Taking taylor expansion of x in x 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * [backup-simplify]: Simplify (* 1 1) into 1 2.826 * [backup-simplify]: Simplify (* 1 1) into 1 2.826 * [backup-simplify]: Simplify (/ 1 1) into 1 2.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.826 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.826 * [taylor]: Taking taylor expansion of y in x 2.826 * [backup-simplify]: Simplify y into y 2.826 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.826 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.826 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.827 * [backup-simplify]: Simplify (+ 1 0) into 1 2.827 * [taylor]: Taking taylor expansion of 1 in y 2.827 * [backup-simplify]: Simplify 1 into 1 2.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.829 * [backup-simplify]: Simplify (+ 0 0) into 0 2.829 * [taylor]: Taking taylor expansion of 0 in y 2.829 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.833 * [backup-simplify]: Simplify (+ 0 0) into 0 2.833 * [taylor]: Taking taylor expansion of 0 in y 2.833 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.836 * [backup-simplify]: Simplify (+ 0 0) into 0 2.836 * [taylor]: Taking taylor expansion of 0 in y 2.836 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.840 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 2.840 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 2.840 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 2.840 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.840 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.840 * [taylor]: Taking taylor expansion of y in y 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 1 into 1 2.841 * [backup-simplify]: Simplify (* 1 1) into 1 2.841 * [backup-simplify]: Simplify (* 1 1) into 1 2.841 * [backup-simplify]: Simplify (/ 1 1) into 1 2.842 * [backup-simplify]: Simplify (- 1) into -1 2.842 * [backup-simplify]: Simplify -1 into -1 2.842 * [backup-simplify]: Simplify 1 into 1 2.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.846 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 2.847 * [backup-simplify]: Simplify (- 0) into 0 2.847 * [backup-simplify]: Simplify (+ 0 0) into 0 2.847 * [taylor]: Taking taylor expansion of 0 in y 2.847 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.849 * [backup-simplify]: Simplify (- 0) into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.854 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.855 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 2.855 * [backup-simplify]: Simplify (- 0) into 0 2.856 * [backup-simplify]: Simplify (+ 0 0) into 0 2.856 * [taylor]: Taking taylor expansion of 0 in y 2.856 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.859 * [backup-simplify]: Simplify (- 0) into 0 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 4))) into (- (pow x 4) (pow y 4)) 2.860 * [backup-simplify]: Simplify (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 2.860 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 2.861 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 2.861 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 2.861 * [taylor]: Taking taylor expansion of (pow x 4) in y 2.861 * [taylor]: Taking taylor expansion of x in y 2.861 * [backup-simplify]: Simplify x into x 2.861 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.861 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.861 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 2.861 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.861 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.861 * [taylor]: Taking taylor expansion of y in y 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify 1 into 1 2.862 * [backup-simplify]: Simplify (* 1 1) into 1 2.862 * [backup-simplify]: Simplify (* 1 1) into 1 2.862 * [backup-simplify]: Simplify (/ 1 1) into 1 2.862 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.862 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.863 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.863 * [taylor]: Taking taylor expansion of x in x 2.863 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify 1 into 1 2.863 * [backup-simplify]: Simplify (* 1 1) into 1 2.863 * [backup-simplify]: Simplify (* 1 1) into 1 2.864 * [backup-simplify]: Simplify (/ 1 1) into 1 2.864 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.864 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.864 * [taylor]: Taking taylor expansion of y in x 2.864 * [backup-simplify]: Simplify y into y 2.864 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.864 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.864 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.864 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.864 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.864 * [taylor]: Taking taylor expansion of x in x 2.864 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify 1 into 1 2.865 * [backup-simplify]: Simplify (* 1 1) into 1 2.865 * [backup-simplify]: Simplify (* 1 1) into 1 2.866 * [backup-simplify]: Simplify (/ 1 1) into 1 2.866 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.866 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.866 * [taylor]: Taking taylor expansion of y in x 2.866 * [backup-simplify]: Simplify y into y 2.866 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.866 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.866 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.867 * [backup-simplify]: Simplify (+ 1 0) into 1 2.867 * [taylor]: Taking taylor expansion of 1 in y 2.867 * [backup-simplify]: Simplify 1 into 1 2.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.869 * [backup-simplify]: Simplify (+ 0 0) into 0 2.869 * [taylor]: Taking taylor expansion of 0 in y 2.869 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.872 * [backup-simplify]: Simplify (+ 0 0) into 0 2.872 * [taylor]: Taking taylor expansion of 0 in y 2.872 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.875 * [backup-simplify]: Simplify (+ 0 0) into 0 2.875 * [taylor]: Taking taylor expansion of 0 in y 2.875 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.877 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 2.877 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 2.877 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 2.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.877 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.877 * [taylor]: Taking taylor expansion of y in y 2.877 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 1 into 1 2.878 * [backup-simplify]: Simplify (* 1 1) into 1 2.878 * [backup-simplify]: Simplify (* 1 1) into 1 2.878 * [backup-simplify]: Simplify (/ 1 1) into 1 2.878 * [backup-simplify]: Simplify (- 1) into -1 2.878 * [backup-simplify]: Simplify -1 into -1 2.879 * [backup-simplify]: Simplify 1 into 1 2.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.881 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.881 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 2.881 * [backup-simplify]: Simplify (- 0) into 0 2.881 * [backup-simplify]: Simplify (+ 0 0) into 0 2.881 * [taylor]: Taking taylor expansion of 0 in y 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.883 * [backup-simplify]: Simplify (- 0) into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.891 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.892 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 2.892 * [backup-simplify]: Simplify (- 0) into 0 2.893 * [backup-simplify]: Simplify (+ 0 0) into 0 2.893 * [taylor]: Taking taylor expansion of 0 in y 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.895 * [backup-simplify]: Simplify (- 0) into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 4))) into (- (pow x 4) (pow y 4)) 2.895 * * * [progress]: simplifying candidates 2.896 * [simplify]: Simplifying: (/ (exp (pow x 4.0)) (exp (pow y 4.0))) (log (- (pow x 4.0) (pow y 4.0))) (exp (- (pow x 4.0) (pow y 4.0))) (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (- (pow x 4.0) (pow y 4.0))) (* (* (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0))) (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)) (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0)))) (- (pow y 4.0)) (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0))) (+ (pow x 4.0) (pow y 4.0)) (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0)) (- (pow y 4.0)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 2.896 * * [simplify]: Extracting # 0 : cost 0 2.896 * * [simplify]: Extracting # 1 : cost 0 2.897 * * [simplify]: Extracting # 2 : cost 0 2.897 * * [simplify]: Extracting # 3 : cost 0 2.897 * * [simplify]: Extracting # 4 : cost 0 2.897 * * [simplify]: Extracting # 5 : cost 0 2.897 * * [simplify]: Extracting # 6 : cost 0 2.897 * * [simplify]: iteration 0 : 61 enodes (cost 356 ) 2.919 * * [simplify]: Extracting # 0 : cost 0 2.920 * * [simplify]: Extracting # 1 : cost 0 2.920 * * [simplify]: Extracting # 2 : cost 0 2.920 * * [simplify]: Extracting # 3 : cost 0 2.920 * * [simplify]: Extracting # 4 : cost 0 2.920 * * [simplify]: iteration 1 : 127 enodes (cost 345 ) 2.949 * * [simplify]: Extracting # 0 : cost 0 2.949 * * [simplify]: Extracting # 1 : cost 0 2.950 * * [simplify]: Extracting # 2 : cost 0 2.951 * * [simplify]: Extracting # 3 : cost 0 2.951 * * [simplify]: Extracting # 4 : cost 0 2.952 * * [simplify]: iteration 2 : 305 enodes (cost 331 ) 3.084 * * [simplify]: Extracting # 0 : cost 0 3.085 * * [simplify]: Extracting # 1 : cost 0 3.087 * * [simplify]: Extracting # 2 : cost 0 3.088 * * [simplify]: Extracting # 3 : cost 0 3.089 * * [simplify]: Extracting # 4 : cost 0 3.090 * * [simplify]: iteration 3 : 995 enodes (cost 331 ) 4.828 * * [simplify]: Extracting # 0 : cost 0 4.839 * * [simplify]: Extracting # 1 : cost 0 4.849 * * [simplify]: Extracting # 2 : cost 0 4.859 * * [simplify]: Extracting # 3 : cost 0 4.875 * * [simplify]: Extracting # 4 : cost 0 4.885 * * [simplify]: iteration 4 : 4931 enodes (cost 331 ) 7.873 * * [simplify]: Extracting # 0 : cost 0 7.881 * * [simplify]: Extracting # 1 : cost 0 7.887 * * [simplify]: Extracting # 2 : cost 0 7.893 * * [simplify]: Extracting # 3 : cost 0 7.898 * * [simplify]: iteration done: 5001 enodes (cost 331 ) 7.899 * [simplify]: Simplified to: (exp (- (pow x 4.0) (pow y 4.0))) (log (- (pow x 4.0) (pow y 4.0))) (exp (- (pow x 4.0) (pow y 4.0))) (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (- (pow x 4.0) (pow y 4.0))) (pow (- (pow x 4.0) (pow y 4.0)) 3) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)) (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0)))) (- (pow y 4.0)) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0)) (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0)) (- (pow y 4.0)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 7.899 * * * [progress]: adding candidates to table 8.031 * * [progress]: iteration 2 / 4 8.031 * * * [progress]: picking best candidate 8.037 * * * * [pick]: Picked # 8.037 * * * [progress]: localizing error 8.059 * * * [progress]: generating rewritten candidates 8.059 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.110 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.134 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 8.278 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 8.333 * * * [progress]: generating series expansions 8.333 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.334 * [backup-simplify]: Simplify (sqrt (- (pow x 4.0) (pow y 4.0))) into (sqrt (- (pow x 4) (pow y 4))) 8.334 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in (x y) around 0 8.334 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in y 8.334 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 8.334 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.334 * [taylor]: Taking taylor expansion of x in y 8.334 * [backup-simplify]: Simplify x into x 8.334 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.334 * [taylor]: Taking taylor expansion of y in y 8.334 * [backup-simplify]: Simplify 0 into 0 8.334 * [backup-simplify]: Simplify 1 into 1 8.334 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.334 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.334 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 8.334 * [backup-simplify]: Simplify (sqrt (pow x 4)) into (pow x 2) 8.334 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.335 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 8.335 * [backup-simplify]: Simplify (+ 0 0) into 0 8.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 4)))) into 0 8.335 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 8.335 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.335 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.335 * [taylor]: Taking taylor expansion of x in x 8.335 * [backup-simplify]: Simplify 0 into 0 8.335 * [backup-simplify]: Simplify 1 into 1 8.335 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.335 * [taylor]: Taking taylor expansion of y in x 8.335 * [backup-simplify]: Simplify y into y 8.336 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.336 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.336 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 8.336 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 8.336 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 8.336 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.336 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.336 * [backup-simplify]: Simplify (- 0) into 0 8.337 * [backup-simplify]: Simplify (+ 0 0) into 0 8.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 8.337 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 8.337 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.337 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.337 * [taylor]: Taking taylor expansion of x in x 8.337 * [backup-simplify]: Simplify 0 into 0 8.337 * [backup-simplify]: Simplify 1 into 1 8.337 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.337 * [taylor]: Taking taylor expansion of y in x 8.337 * [backup-simplify]: Simplify y into y 8.337 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.337 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.337 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 8.337 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 8.337 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 8.338 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.338 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.338 * [backup-simplify]: Simplify (- 0) into 0 8.338 * [backup-simplify]: Simplify (+ 0 0) into 0 8.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 8.338 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 8.338 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 8.339 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.339 * [taylor]: Taking taylor expansion of y in y 8.339 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify 1 into 1 8.339 * [backup-simplify]: Simplify (* 1 1) into 1 8.339 * [backup-simplify]: Simplify (* 1 1) into 1 8.339 * [backup-simplify]: Simplify (- 1) into -1 8.340 * [backup-simplify]: Simplify (- 1) into -1 8.340 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.341 * [backup-simplify]: Simplify (- 0) into 0 8.341 * [backup-simplify]: Simplify (- 1) into -1 8.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.342 * [taylor]: Taking taylor expansion of 0 in y 8.342 * [backup-simplify]: Simplify 0 into 0 8.342 * [backup-simplify]: Simplify 0 into 0 8.342 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.343 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.343 * [backup-simplify]: Simplify (- 0) into 0 8.343 * [backup-simplify]: Simplify (+ 0 0) into 0 8.344 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (pow y 4))))) into 0 8.344 * [taylor]: Taking taylor expansion of 0 in y 8.344 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.345 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.345 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.345 * [backup-simplify]: Simplify (- 0) into 0 8.346 * [backup-simplify]: Simplify (+ 0 0) into 0 8.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into 0 8.346 * [taylor]: Taking taylor expansion of 0 in y 8.346 * [backup-simplify]: Simplify 0 into 0 8.346 * [backup-simplify]: Simplify 0 into 0 8.346 * [backup-simplify]: Simplify 0 into 0 8.346 * [backup-simplify]: Simplify 0 into 0 8.346 * [backup-simplify]: Simplify 0 into 0 8.347 * [backup-simplify]: Simplify (* 1 1) into 1 8.347 * [backup-simplify]: Simplify (* 1 1) into 1 8.348 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.349 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 8.349 * [backup-simplify]: Simplify (- 0) into 0 8.349 * [backup-simplify]: Simplify (+ 1 0) into 1 8.350 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into (/ 1/2 (sqrt (- (pow y 4)))) 8.350 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow y 4)))) in y 8.350 * [taylor]: Taking taylor expansion of 1/2 in y 8.350 * [backup-simplify]: Simplify 1/2 into 1/2 8.350 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 8.350 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 8.350 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.350 * [taylor]: Taking taylor expansion of y in y 8.350 * [backup-simplify]: Simplify 0 into 0 8.350 * [backup-simplify]: Simplify 1 into 1 8.350 * [backup-simplify]: Simplify (* 1 1) into 1 8.350 * [backup-simplify]: Simplify (* 1 1) into 1 8.351 * [backup-simplify]: Simplify (- 1) into -1 8.351 * [backup-simplify]: Simplify (- 1) into -1 8.351 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.352 * [backup-simplify]: Simplify (- 0) into 0 8.352 * [backup-simplify]: Simplify (- 1) into -1 8.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.354 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 8.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.355 * [backup-simplify]: Simplify (- 0) into 0 8.355 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.356 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 8.357 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 8.357 * [backup-simplify]: Simplify 0 into 0 8.357 * [backup-simplify]: Simplify 0 into 0 8.357 * [backup-simplify]: Simplify (* (sqrt -1) (pow (* y 1) 2)) into (* (pow y 2) (sqrt -1)) 8.358 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 8.358 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 8.358 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 8.358 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.358 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.358 * [taylor]: Taking taylor expansion of x in y 8.358 * [backup-simplify]: Simplify x into x 8.358 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.358 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.358 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.358 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.358 * [taylor]: Taking taylor expansion of y in y 8.358 * [backup-simplify]: Simplify 0 into 0 8.358 * [backup-simplify]: Simplify 1 into 1 8.359 * [backup-simplify]: Simplify (* 1 1) into 1 8.359 * [backup-simplify]: Simplify (* 1 1) into 1 8.360 * [backup-simplify]: Simplify (/ 1 1) into 1 8.360 * [backup-simplify]: Simplify (- 1) into -1 8.361 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.361 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.364 * [backup-simplify]: Simplify (- 0) into 0 8.364 * [backup-simplify]: Simplify (+ 0 0) into 0 8.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.365 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.365 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.365 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.365 * [taylor]: Taking taylor expansion of x in x 8.365 * [backup-simplify]: Simplify 0 into 0 8.365 * [backup-simplify]: Simplify 1 into 1 8.365 * [backup-simplify]: Simplify (* 1 1) into 1 8.366 * [backup-simplify]: Simplify (* 1 1) into 1 8.366 * [backup-simplify]: Simplify (/ 1 1) into 1 8.366 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.366 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.366 * [taylor]: Taking taylor expansion of y in x 8.366 * [backup-simplify]: Simplify y into y 8.366 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.367 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.367 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.367 * [backup-simplify]: Simplify (+ 1 0) into 1 8.368 * [backup-simplify]: Simplify (sqrt 1) into 1 8.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.370 * [backup-simplify]: Simplify (+ 0 0) into 0 8.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.371 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.371 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.371 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.371 * [taylor]: Taking taylor expansion of x in x 8.371 * [backup-simplify]: Simplify 0 into 0 8.371 * [backup-simplify]: Simplify 1 into 1 8.371 * [backup-simplify]: Simplify (* 1 1) into 1 8.372 * [backup-simplify]: Simplify (* 1 1) into 1 8.372 * [backup-simplify]: Simplify (/ 1 1) into 1 8.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.372 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.372 * [taylor]: Taking taylor expansion of y in x 8.372 * [backup-simplify]: Simplify y into y 8.372 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.373 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.373 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.373 * [backup-simplify]: Simplify (+ 1 0) into 1 8.374 * [backup-simplify]: Simplify (sqrt 1) into 1 8.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.377 * [backup-simplify]: Simplify (+ 0 0) into 0 8.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.377 * [taylor]: Taking taylor expansion of 1 in y 8.377 * [backup-simplify]: Simplify 1 into 1 8.378 * [taylor]: Taking taylor expansion of 0 in y 8.378 * [backup-simplify]: Simplify 0 into 0 8.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.382 * [backup-simplify]: Simplify (+ 0 0) into 0 8.383 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 8.383 * [taylor]: Taking taylor expansion of 0 in y 8.383 * [backup-simplify]: Simplify 0 into 0 8.383 * [backup-simplify]: Simplify 1 into 1 8.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.387 * [backup-simplify]: Simplify (+ 0 0) into 0 8.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 8.388 * [taylor]: Taking taylor expansion of 0 in y 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.391 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.392 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.393 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 8.393 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 8.393 * [taylor]: Taking taylor expansion of -1/2 in y 8.393 * [backup-simplify]: Simplify -1/2 into -1/2 8.393 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.393 * [taylor]: Taking taylor expansion of y in y 8.393 * [backup-simplify]: Simplify 0 into 0 8.393 * [backup-simplify]: Simplify 1 into 1 8.394 * [backup-simplify]: Simplify (* 1 1) into 1 8.394 * [backup-simplify]: Simplify (* 1 1) into 1 8.395 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 8.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify 0 into 0 8.400 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) into (pow x 2) 8.400 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 8.400 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 8.400 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 8.400 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.400 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.400 * [taylor]: Taking taylor expansion of x in y 8.400 * [backup-simplify]: Simplify x into x 8.400 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.401 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.401 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.401 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.401 * [taylor]: Taking taylor expansion of y in y 8.401 * [backup-simplify]: Simplify 0 into 0 8.401 * [backup-simplify]: Simplify 1 into 1 8.401 * [backup-simplify]: Simplify (* 1 1) into 1 8.402 * [backup-simplify]: Simplify (* 1 1) into 1 8.402 * [backup-simplify]: Simplify (/ 1 1) into 1 8.402 * [backup-simplify]: Simplify (- 1) into -1 8.403 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.403 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.406 * [backup-simplify]: Simplify (- 0) into 0 8.406 * [backup-simplify]: Simplify (+ 0 0) into 0 8.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.407 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.407 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.407 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.407 * [taylor]: Taking taylor expansion of x in x 8.407 * [backup-simplify]: Simplify 0 into 0 8.407 * [backup-simplify]: Simplify 1 into 1 8.407 * [backup-simplify]: Simplify (* 1 1) into 1 8.408 * [backup-simplify]: Simplify (* 1 1) into 1 8.408 * [backup-simplify]: Simplify (/ 1 1) into 1 8.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.408 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.408 * [taylor]: Taking taylor expansion of y in x 8.408 * [backup-simplify]: Simplify y into y 8.408 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.408 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.409 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.409 * [backup-simplify]: Simplify (+ 1 0) into 1 8.409 * [backup-simplify]: Simplify (sqrt 1) into 1 8.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.412 * [backup-simplify]: Simplify (+ 0 0) into 0 8.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.412 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.412 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.412 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.413 * [taylor]: Taking taylor expansion of x in x 8.413 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify 1 into 1 8.413 * [backup-simplify]: Simplify (* 1 1) into 1 8.413 * [backup-simplify]: Simplify (* 1 1) into 1 8.414 * [backup-simplify]: Simplify (/ 1 1) into 1 8.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.414 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.414 * [taylor]: Taking taylor expansion of y in x 8.414 * [backup-simplify]: Simplify y into y 8.414 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.414 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.414 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.415 * [backup-simplify]: Simplify (+ 1 0) into 1 8.415 * [backup-simplify]: Simplify (sqrt 1) into 1 8.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.417 * [backup-simplify]: Simplify (+ 0 0) into 0 8.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.418 * [taylor]: Taking taylor expansion of 1 in y 8.418 * [backup-simplify]: Simplify 1 into 1 8.418 * [taylor]: Taking taylor expansion of 0 in y 8.418 * [backup-simplify]: Simplify 0 into 0 8.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.421 * [backup-simplify]: Simplify (+ 0 0) into 0 8.422 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 8.422 * [taylor]: Taking taylor expansion of 0 in y 8.422 * [backup-simplify]: Simplify 0 into 0 8.422 * [backup-simplify]: Simplify 1 into 1 8.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.425 * [backup-simplify]: Simplify (+ 0 0) into 0 8.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 8.426 * [taylor]: Taking taylor expansion of 0 in y 8.426 * [backup-simplify]: Simplify 0 into 0 8.427 * [backup-simplify]: Simplify 0 into 0 8.427 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.430 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.430 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.432 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 8.432 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 8.432 * [taylor]: Taking taylor expansion of -1/2 in y 8.432 * [backup-simplify]: Simplify -1/2 into -1/2 8.432 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.432 * [taylor]: Taking taylor expansion of y in y 8.432 * [backup-simplify]: Simplify 0 into 0 8.432 * [backup-simplify]: Simplify 1 into 1 8.432 * [backup-simplify]: Simplify (* 1 1) into 1 8.433 * [backup-simplify]: Simplify (* 1 1) into 1 8.433 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 8.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.438 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) into (pow x 2) 8.438 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.439 * [backup-simplify]: Simplify (sqrt (- (pow x 4.0) (pow y 4.0))) into (sqrt (- (pow x 4) (pow y 4))) 8.439 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in (x y) around 0 8.439 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in y 8.439 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 8.439 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.439 * [taylor]: Taking taylor expansion of x in y 8.439 * [backup-simplify]: Simplify x into x 8.439 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.439 * [taylor]: Taking taylor expansion of y in y 8.439 * [backup-simplify]: Simplify 0 into 0 8.439 * [backup-simplify]: Simplify 1 into 1 8.439 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.439 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.439 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 8.440 * [backup-simplify]: Simplify (sqrt (pow x 4)) into (pow x 2) 8.440 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.440 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 8.440 * [backup-simplify]: Simplify (+ 0 0) into 0 8.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 4)))) into 0 8.441 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 8.441 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.441 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.441 * [taylor]: Taking taylor expansion of x in x 8.441 * [backup-simplify]: Simplify 0 into 0 8.441 * [backup-simplify]: Simplify 1 into 1 8.441 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.441 * [taylor]: Taking taylor expansion of y in x 8.441 * [backup-simplify]: Simplify y into y 8.441 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.441 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.441 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 8.442 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 8.442 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 8.442 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.442 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.443 * [backup-simplify]: Simplify (- 0) into 0 8.443 * [backup-simplify]: Simplify (+ 0 0) into 0 8.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 8.443 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 8.443 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.443 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.443 * [taylor]: Taking taylor expansion of x in x 8.443 * [backup-simplify]: Simplify 0 into 0 8.443 * [backup-simplify]: Simplify 1 into 1 8.443 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.443 * [taylor]: Taking taylor expansion of y in x 8.443 * [backup-simplify]: Simplify y into y 8.443 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.444 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.444 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 8.444 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 8.444 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 8.444 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.444 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.445 * [backup-simplify]: Simplify (- 0) into 0 8.446 * [backup-simplify]: Simplify (+ 0 0) into 0 8.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 8.446 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 8.446 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 8.446 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.446 * [taylor]: Taking taylor expansion of y in y 8.446 * [backup-simplify]: Simplify 0 into 0 8.446 * [backup-simplify]: Simplify 1 into 1 8.446 * [backup-simplify]: Simplify (* 1 1) into 1 8.447 * [backup-simplify]: Simplify (* 1 1) into 1 8.447 * [backup-simplify]: Simplify (- 1) into -1 8.447 * [backup-simplify]: Simplify (- 1) into -1 8.447 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.448 * [backup-simplify]: Simplify (- 0) into 0 8.449 * [backup-simplify]: Simplify (- 1) into -1 8.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.449 * [taylor]: Taking taylor expansion of 0 in y 8.449 * [backup-simplify]: Simplify 0 into 0 8.449 * [backup-simplify]: Simplify 0 into 0 8.449 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.450 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.450 * [backup-simplify]: Simplify (- 0) into 0 8.450 * [backup-simplify]: Simplify (+ 0 0) into 0 8.451 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (pow y 4))))) into 0 8.451 * [taylor]: Taking taylor expansion of 0 in y 8.451 * [backup-simplify]: Simplify 0 into 0 8.451 * [backup-simplify]: Simplify 0 into 0 8.451 * [backup-simplify]: Simplify 0 into 0 8.451 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.452 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.452 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.453 * [backup-simplify]: Simplify (- 0) into 0 8.453 * [backup-simplify]: Simplify (+ 0 0) into 0 8.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into 0 8.453 * [taylor]: Taking taylor expansion of 0 in y 8.454 * [backup-simplify]: Simplify 0 into 0 8.454 * [backup-simplify]: Simplify 0 into 0 8.454 * [backup-simplify]: Simplify 0 into 0 8.454 * [backup-simplify]: Simplify 0 into 0 8.454 * [backup-simplify]: Simplify 0 into 0 8.454 * [backup-simplify]: Simplify (* 1 1) into 1 8.454 * [backup-simplify]: Simplify (* 1 1) into 1 8.455 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.456 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 8.456 * [backup-simplify]: Simplify (- 0) into 0 8.456 * [backup-simplify]: Simplify (+ 1 0) into 1 8.457 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into (/ 1/2 (sqrt (- (pow y 4)))) 8.457 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow y 4)))) in y 8.457 * [taylor]: Taking taylor expansion of 1/2 in y 8.457 * [backup-simplify]: Simplify 1/2 into 1/2 8.457 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 8.457 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 8.457 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.457 * [taylor]: Taking taylor expansion of y in y 8.457 * [backup-simplify]: Simplify 0 into 0 8.457 * [backup-simplify]: Simplify 1 into 1 8.458 * [backup-simplify]: Simplify (* 1 1) into 1 8.458 * [backup-simplify]: Simplify (* 1 1) into 1 8.458 * [backup-simplify]: Simplify (- 1) into -1 8.458 * [backup-simplify]: Simplify (- 1) into -1 8.458 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.462 * [backup-simplify]: Simplify (- 0) into 0 8.463 * [backup-simplify]: Simplify (- 1) into -1 8.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.464 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 8.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.465 * [backup-simplify]: Simplify (- 0) into 0 8.465 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.466 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 8.467 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 8.467 * [backup-simplify]: Simplify 0 into 0 8.467 * [backup-simplify]: Simplify 0 into 0 8.467 * [backup-simplify]: Simplify (* (sqrt -1) (pow (* y 1) 2)) into (* (pow y 2) (sqrt -1)) 8.468 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 8.468 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 8.468 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 8.468 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.468 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.468 * [taylor]: Taking taylor expansion of x in y 8.468 * [backup-simplify]: Simplify x into x 8.468 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.468 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.468 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.468 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.468 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.468 * [taylor]: Taking taylor expansion of y in y 8.468 * [backup-simplify]: Simplify 0 into 0 8.468 * [backup-simplify]: Simplify 1 into 1 8.468 * [backup-simplify]: Simplify (* 1 1) into 1 8.469 * [backup-simplify]: Simplify (* 1 1) into 1 8.469 * [backup-simplify]: Simplify (/ 1 1) into 1 8.469 * [backup-simplify]: Simplify (- 1) into -1 8.469 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.470 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.471 * [backup-simplify]: Simplify (- 0) into 0 8.471 * [backup-simplify]: Simplify (+ 0 0) into 0 8.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.472 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.472 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.472 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.472 * [taylor]: Taking taylor expansion of x in x 8.472 * [backup-simplify]: Simplify 0 into 0 8.472 * [backup-simplify]: Simplify 1 into 1 8.472 * [backup-simplify]: Simplify (* 1 1) into 1 8.472 * [backup-simplify]: Simplify (* 1 1) into 1 8.472 * [backup-simplify]: Simplify (/ 1 1) into 1 8.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.472 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.472 * [taylor]: Taking taylor expansion of y in x 8.472 * [backup-simplify]: Simplify y into y 8.473 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.473 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.473 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.473 * [backup-simplify]: Simplify (+ 1 0) into 1 8.473 * [backup-simplify]: Simplify (sqrt 1) into 1 8.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.475 * [backup-simplify]: Simplify (+ 0 0) into 0 8.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.475 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.475 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.475 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.475 * [taylor]: Taking taylor expansion of x in x 8.475 * [backup-simplify]: Simplify 0 into 0 8.475 * [backup-simplify]: Simplify 1 into 1 8.475 * [backup-simplify]: Simplify (* 1 1) into 1 8.476 * [backup-simplify]: Simplify (* 1 1) into 1 8.476 * [backup-simplify]: Simplify (/ 1 1) into 1 8.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.476 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.476 * [taylor]: Taking taylor expansion of y in x 8.476 * [backup-simplify]: Simplify y into y 8.476 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.476 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.476 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.476 * [backup-simplify]: Simplify (+ 1 0) into 1 8.477 * [backup-simplify]: Simplify (sqrt 1) into 1 8.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.478 * [backup-simplify]: Simplify (+ 0 0) into 0 8.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.479 * [taylor]: Taking taylor expansion of 1 in y 8.479 * [backup-simplify]: Simplify 1 into 1 8.479 * [taylor]: Taking taylor expansion of 0 in y 8.479 * [backup-simplify]: Simplify 0 into 0 8.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.480 * [backup-simplify]: Simplify (+ 0 0) into 0 8.481 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 8.481 * [taylor]: Taking taylor expansion of 0 in y 8.481 * [backup-simplify]: Simplify 0 into 0 8.481 * [backup-simplify]: Simplify 1 into 1 8.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.483 * [backup-simplify]: Simplify (+ 0 0) into 0 8.484 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 8.484 * [taylor]: Taking taylor expansion of 0 in y 8.484 * [backup-simplify]: Simplify 0 into 0 8.484 * [backup-simplify]: Simplify 0 into 0 8.484 * [backup-simplify]: Simplify 0 into 0 8.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.488 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.488 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.489 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 8.489 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 8.490 * [taylor]: Taking taylor expansion of -1/2 in y 8.490 * [backup-simplify]: Simplify -1/2 into -1/2 8.490 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.490 * [taylor]: Taking taylor expansion of y in y 8.490 * [backup-simplify]: Simplify 0 into 0 8.490 * [backup-simplify]: Simplify 1 into 1 8.490 * [backup-simplify]: Simplify (* 1 1) into 1 8.490 * [backup-simplify]: Simplify (* 1 1) into 1 8.491 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 8.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.495 * [backup-simplify]: Simplify 0 into 0 8.495 * [backup-simplify]: Simplify 0 into 0 8.496 * [backup-simplify]: Simplify 0 into 0 8.496 * [backup-simplify]: Simplify 0 into 0 8.496 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) into (pow x 2) 8.497 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 8.497 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 8.497 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 8.497 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.497 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.497 * [taylor]: Taking taylor expansion of x in y 8.497 * [backup-simplify]: Simplify x into x 8.497 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.497 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.497 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.497 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.497 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.497 * [taylor]: Taking taylor expansion of y in y 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify 1 into 1 8.498 * [backup-simplify]: Simplify (* 1 1) into 1 8.498 * [backup-simplify]: Simplify (* 1 1) into 1 8.499 * [backup-simplify]: Simplify (/ 1 1) into 1 8.499 * [backup-simplify]: Simplify (- 1) into -1 8.499 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.500 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.502 * [backup-simplify]: Simplify (- 0) into 0 8.502 * [backup-simplify]: Simplify (+ 0 0) into 0 8.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.503 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.503 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.503 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.503 * [taylor]: Taking taylor expansion of x in x 8.503 * [backup-simplify]: Simplify 0 into 0 8.503 * [backup-simplify]: Simplify 1 into 1 8.504 * [backup-simplify]: Simplify (* 1 1) into 1 8.504 * [backup-simplify]: Simplify (* 1 1) into 1 8.505 * [backup-simplify]: Simplify (/ 1 1) into 1 8.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.505 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.505 * [taylor]: Taking taylor expansion of y in x 8.505 * [backup-simplify]: Simplify y into y 8.505 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.505 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.505 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.506 * [backup-simplify]: Simplify (+ 1 0) into 1 8.506 * [backup-simplify]: Simplify (sqrt 1) into 1 8.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.508 * [backup-simplify]: Simplify (+ 0 0) into 0 8.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.509 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.509 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.509 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.509 * [taylor]: Taking taylor expansion of x in x 8.509 * [backup-simplify]: Simplify 0 into 0 8.509 * [backup-simplify]: Simplify 1 into 1 8.510 * [backup-simplify]: Simplify (* 1 1) into 1 8.510 * [backup-simplify]: Simplify (* 1 1) into 1 8.510 * [backup-simplify]: Simplify (/ 1 1) into 1 8.510 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.510 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.510 * [taylor]: Taking taylor expansion of y in x 8.510 * [backup-simplify]: Simplify y into y 8.510 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.511 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.511 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.511 * [backup-simplify]: Simplify (+ 1 0) into 1 8.512 * [backup-simplify]: Simplify (sqrt 1) into 1 8.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.514 * [backup-simplify]: Simplify (+ 0 0) into 0 8.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.515 * [taylor]: Taking taylor expansion of 1 in y 8.515 * [backup-simplify]: Simplify 1 into 1 8.515 * [taylor]: Taking taylor expansion of 0 in y 8.515 * [backup-simplify]: Simplify 0 into 0 8.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.518 * [backup-simplify]: Simplify (+ 0 0) into 0 8.519 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 8.519 * [taylor]: Taking taylor expansion of 0 in y 8.519 * [backup-simplify]: Simplify 0 into 0 8.519 * [backup-simplify]: Simplify 1 into 1 8.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.523 * [backup-simplify]: Simplify (+ 0 0) into 0 8.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 8.524 * [taylor]: Taking taylor expansion of 0 in y 8.524 * [backup-simplify]: Simplify 0 into 0 8.524 * [backup-simplify]: Simplify 0 into 0 8.524 * [backup-simplify]: Simplify 0 into 0 8.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.527 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.527 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.529 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 8.529 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 8.529 * [taylor]: Taking taylor expansion of -1/2 in y 8.529 * [backup-simplify]: Simplify -1/2 into -1/2 8.529 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.529 * [taylor]: Taking taylor expansion of y in y 8.529 * [backup-simplify]: Simplify 0 into 0 8.529 * [backup-simplify]: Simplify 1 into 1 8.529 * [backup-simplify]: Simplify (* 1 1) into 1 8.530 * [backup-simplify]: Simplify (* 1 1) into 1 8.530 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 8.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.535 * [backup-simplify]: Simplify 0 into 0 8.535 * [backup-simplify]: Simplify 0 into 0 8.535 * [backup-simplify]: Simplify 0 into 0 8.535 * [backup-simplify]: Simplify 0 into 0 8.536 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) into (pow x 2) 8.536 * * * * [progress]: [ 3 / 4 ] generating series at (2) 8.536 * [backup-simplify]: Simplify (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) into (- (pow x 4) (pow y 4)) 8.536 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (x y) around 0 8.536 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 8.536 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.536 * [taylor]: Taking taylor expansion of x in y 8.536 * [backup-simplify]: Simplify x into x 8.537 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.537 * [taylor]: Taking taylor expansion of y in y 8.537 * [backup-simplify]: Simplify 0 into 0 8.537 * [backup-simplify]: Simplify 1 into 1 8.537 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.537 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.537 * [taylor]: Taking taylor expansion of x in x 8.537 * [backup-simplify]: Simplify 0 into 0 8.537 * [backup-simplify]: Simplify 1 into 1 8.537 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.537 * [taylor]: Taking taylor expansion of y in x 8.537 * [backup-simplify]: Simplify y into y 8.537 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.537 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.537 * [taylor]: Taking taylor expansion of x in x 8.537 * [backup-simplify]: Simplify 0 into 0 8.537 * [backup-simplify]: Simplify 1 into 1 8.537 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.537 * [taylor]: Taking taylor expansion of y in x 8.537 * [backup-simplify]: Simplify y into y 8.537 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.537 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.538 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 8.538 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 8.538 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 8.538 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.538 * [taylor]: Taking taylor expansion of y in y 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify 1 into 1 8.538 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.538 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.539 * [backup-simplify]: Simplify (- 0) into 0 8.539 * [backup-simplify]: Simplify (+ 0 0) into 0 8.539 * [taylor]: Taking taylor expansion of 0 in y 8.539 * [backup-simplify]: Simplify 0 into 0 8.539 * [backup-simplify]: Simplify 0 into 0 8.539 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.540 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.540 * [backup-simplify]: Simplify (- 0) into 0 8.540 * [backup-simplify]: Simplify (+ 0 0) into 0 8.540 * [taylor]: Taking taylor expansion of 0 in y 8.540 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify 0 into 0 8.541 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.541 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.542 * [backup-simplify]: Simplify (- 0) into 0 8.542 * [backup-simplify]: Simplify (+ 0 0) into 0 8.542 * [taylor]: Taking taylor expansion of 0 in y 8.542 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify (* (sqrt (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0))) (sqrt (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0)))) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 8.543 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 8.543 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.543 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.543 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.543 * [taylor]: Taking taylor expansion of x in y 8.543 * [backup-simplify]: Simplify x into x 8.543 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.543 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.543 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.543 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.543 * [taylor]: Taking taylor expansion of y in y 8.543 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify 1 into 1 8.543 * [backup-simplify]: Simplify (* 1 1) into 1 8.543 * [backup-simplify]: Simplify (* 1 1) into 1 8.544 * [backup-simplify]: Simplify (/ 1 1) into 1 8.544 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.544 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.544 * [taylor]: Taking taylor expansion of x in x 8.544 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify 1 into 1 8.544 * [backup-simplify]: Simplify (* 1 1) into 1 8.544 * [backup-simplify]: Simplify (* 1 1) into 1 8.544 * [backup-simplify]: Simplify (/ 1 1) into 1 8.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.544 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.545 * [taylor]: Taking taylor expansion of y in x 8.545 * [backup-simplify]: Simplify y into y 8.545 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.545 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.545 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.545 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.545 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.545 * [taylor]: Taking taylor expansion of x in x 8.545 * [backup-simplify]: Simplify 0 into 0 8.545 * [backup-simplify]: Simplify 1 into 1 8.545 * [backup-simplify]: Simplify (* 1 1) into 1 8.545 * [backup-simplify]: Simplify (* 1 1) into 1 8.546 * [backup-simplify]: Simplify (/ 1 1) into 1 8.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.546 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.546 * [taylor]: Taking taylor expansion of y in x 8.546 * [backup-simplify]: Simplify y into y 8.546 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.546 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.546 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.546 * [backup-simplify]: Simplify (+ 1 0) into 1 8.547 * [taylor]: Taking taylor expansion of 1 in y 8.547 * [backup-simplify]: Simplify 1 into 1 8.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.548 * [backup-simplify]: Simplify (+ 0 0) into 0 8.548 * [taylor]: Taking taylor expansion of 0 in y 8.548 * [backup-simplify]: Simplify 0 into 0 8.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.550 * [backup-simplify]: Simplify (+ 0 0) into 0 8.550 * [taylor]: Taking taylor expansion of 0 in y 8.550 * [backup-simplify]: Simplify 0 into 0 8.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.552 * [backup-simplify]: Simplify (+ 0 0) into 0 8.552 * [taylor]: Taking taylor expansion of 0 in y 8.552 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.554 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.554 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.554 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 8.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.554 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.554 * [taylor]: Taking taylor expansion of y in y 8.554 * [backup-simplify]: Simplify 0 into 0 8.554 * [backup-simplify]: Simplify 1 into 1 8.554 * [backup-simplify]: Simplify (* 1 1) into 1 8.554 * [backup-simplify]: Simplify (* 1 1) into 1 8.555 * [backup-simplify]: Simplify (/ 1 1) into 1 8.555 * [backup-simplify]: Simplify (- 1) into -1 8.555 * [backup-simplify]: Simplify -1 into -1 8.555 * [backup-simplify]: Simplify 1 into 1 8.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.557 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.557 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 8.558 * [backup-simplify]: Simplify (- 0) into 0 8.558 * [backup-simplify]: Simplify (+ 0 0) into 0 8.558 * [taylor]: Taking taylor expansion of 0 in y 8.558 * [backup-simplify]: Simplify 0 into 0 8.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.559 * [backup-simplify]: Simplify (- 0) into 0 8.559 * [backup-simplify]: Simplify 0 into 0 8.559 * [backup-simplify]: Simplify 0 into 0 8.559 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.562 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.562 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 8.563 * [backup-simplify]: Simplify (- 0) into 0 8.563 * [backup-simplify]: Simplify (+ 0 0) into 0 8.563 * [taylor]: Taking taylor expansion of 0 in y 8.563 * [backup-simplify]: Simplify 0 into 0 8.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.565 * [backup-simplify]: Simplify (- 0) into 0 8.565 * [backup-simplify]: Simplify 0 into 0 8.565 * [backup-simplify]: Simplify 0 into 0 8.565 * [backup-simplify]: Simplify 0 into 0 8.565 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 4))) into (- (pow x 4) (pow y 4)) 8.566 * [backup-simplify]: Simplify (* (sqrt (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0))) (sqrt (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0)))) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 8.566 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 8.566 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.566 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.566 * [taylor]: Taking taylor expansion of x in y 8.566 * [backup-simplify]: Simplify x into x 8.566 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.566 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.566 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.566 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.566 * [taylor]: Taking taylor expansion of y in y 8.566 * [backup-simplify]: Simplify 0 into 0 8.566 * [backup-simplify]: Simplify 1 into 1 8.567 * [backup-simplify]: Simplify (* 1 1) into 1 8.567 * [backup-simplify]: Simplify (* 1 1) into 1 8.568 * [backup-simplify]: Simplify (/ 1 1) into 1 8.568 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.568 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.568 * [taylor]: Taking taylor expansion of x in x 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 1 into 1 8.568 * [backup-simplify]: Simplify (* 1 1) into 1 8.569 * [backup-simplify]: Simplify (* 1 1) into 1 8.569 * [backup-simplify]: Simplify (/ 1 1) into 1 8.569 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.569 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.569 * [taylor]: Taking taylor expansion of y in x 8.569 * [backup-simplify]: Simplify y into y 8.569 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.569 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.570 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.570 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.570 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.570 * [taylor]: Taking taylor expansion of x in x 8.570 * [backup-simplify]: Simplify 0 into 0 8.570 * [backup-simplify]: Simplify 1 into 1 8.570 * [backup-simplify]: Simplify (* 1 1) into 1 8.571 * [backup-simplify]: Simplify (* 1 1) into 1 8.571 * [backup-simplify]: Simplify (/ 1 1) into 1 8.571 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.571 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.571 * [taylor]: Taking taylor expansion of y in x 8.571 * [backup-simplify]: Simplify y into y 8.571 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.571 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.572 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.572 * [backup-simplify]: Simplify (+ 1 0) into 1 8.572 * [taylor]: Taking taylor expansion of 1 in y 8.572 * [backup-simplify]: Simplify 1 into 1 8.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.575 * [backup-simplify]: Simplify (+ 0 0) into 0 8.575 * [taylor]: Taking taylor expansion of 0 in y 8.575 * [backup-simplify]: Simplify 0 into 0 8.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.583 * [backup-simplify]: Simplify (+ 0 0) into 0 8.583 * [taylor]: Taking taylor expansion of 0 in y 8.583 * [backup-simplify]: Simplify 0 into 0 8.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.587 * [backup-simplify]: Simplify (+ 0 0) into 0 8.587 * [taylor]: Taking taylor expansion of 0 in y 8.587 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.590 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.591 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.591 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 8.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.591 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.591 * [taylor]: Taking taylor expansion of y in y 8.591 * [backup-simplify]: Simplify 0 into 0 8.591 * [backup-simplify]: Simplify 1 into 1 8.591 * [backup-simplify]: Simplify (* 1 1) into 1 8.592 * [backup-simplify]: Simplify (* 1 1) into 1 8.592 * [backup-simplify]: Simplify (/ 1 1) into 1 8.592 * [backup-simplify]: Simplify (- 1) into -1 8.592 * [backup-simplify]: Simplify -1 into -1 8.593 * [backup-simplify]: Simplify 1 into 1 8.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.597 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.597 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 8.598 * [backup-simplify]: Simplify (- 0) into 0 8.598 * [backup-simplify]: Simplify (+ 0 0) into 0 8.598 * [taylor]: Taking taylor expansion of 0 in y 8.598 * [backup-simplify]: Simplify 0 into 0 8.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.601 * [backup-simplify]: Simplify (- 0) into 0 8.601 * [backup-simplify]: Simplify 0 into 0 8.601 * [backup-simplify]: Simplify 0 into 0 8.601 * [backup-simplify]: Simplify 0 into 0 8.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.605 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.606 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 8.607 * [backup-simplify]: Simplify (- 0) into 0 8.607 * [backup-simplify]: Simplify (+ 0 0) into 0 8.607 * [taylor]: Taking taylor expansion of 0 in y 8.607 * [backup-simplify]: Simplify 0 into 0 8.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.610 * [backup-simplify]: Simplify (- 0) into 0 8.610 * [backup-simplify]: Simplify 0 into 0 8.610 * [backup-simplify]: Simplify 0 into 0 8.610 * [backup-simplify]: Simplify 0 into 0 8.611 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 4))) into (- (pow x 4) (pow y 4)) 8.611 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.611 * [backup-simplify]: Simplify (- (pow x 4.0) (pow y 4.0)) into (- (pow x 4) (pow y 4)) 8.612 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (x y) around 0 8.612 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 8.612 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.612 * [taylor]: Taking taylor expansion of x in y 8.612 * [backup-simplify]: Simplify x into x 8.612 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.612 * [taylor]: Taking taylor expansion of y in y 8.612 * [backup-simplify]: Simplify 0 into 0 8.612 * [backup-simplify]: Simplify 1 into 1 8.612 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.612 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.612 * [taylor]: Taking taylor expansion of x in x 8.612 * [backup-simplify]: Simplify 0 into 0 8.612 * [backup-simplify]: Simplify 1 into 1 8.612 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.612 * [taylor]: Taking taylor expansion of y in x 8.612 * [backup-simplify]: Simplify y into y 8.612 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.612 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.612 * [taylor]: Taking taylor expansion of x in x 8.612 * [backup-simplify]: Simplify 0 into 0 8.612 * [backup-simplify]: Simplify 1 into 1 8.612 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.612 * [taylor]: Taking taylor expansion of y in x 8.612 * [backup-simplify]: Simplify y into y 8.612 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.613 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.613 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 8.613 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 8.613 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 8.613 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.613 * [taylor]: Taking taylor expansion of y in y 8.613 * [backup-simplify]: Simplify 0 into 0 8.613 * [backup-simplify]: Simplify 1 into 1 8.613 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.613 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.614 * [backup-simplify]: Simplify (- 0) into 0 8.614 * [backup-simplify]: Simplify (+ 0 0) into 0 8.614 * [taylor]: Taking taylor expansion of 0 in y 8.614 * [backup-simplify]: Simplify 0 into 0 8.614 * [backup-simplify]: Simplify 0 into 0 8.615 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.615 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.616 * [backup-simplify]: Simplify (- 0) into 0 8.616 * [backup-simplify]: Simplify (+ 0 0) into 0 8.616 * [taylor]: Taking taylor expansion of 0 in y 8.616 * [backup-simplify]: Simplify 0 into 0 8.616 * [backup-simplify]: Simplify 0 into 0 8.616 * [backup-simplify]: Simplify 0 into 0 8.617 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.618 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.618 * [backup-simplify]: Simplify (- 0) into 0 8.619 * [backup-simplify]: Simplify (+ 0 0) into 0 8.619 * [taylor]: Taking taylor expansion of 0 in y 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 8.620 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 8.620 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.620 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.620 * [taylor]: Taking taylor expansion of x in y 8.620 * [backup-simplify]: Simplify x into x 8.620 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.620 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.620 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.620 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.620 * [taylor]: Taking taylor expansion of y in y 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify 1 into 1 8.621 * [backup-simplify]: Simplify (* 1 1) into 1 8.621 * [backup-simplify]: Simplify (* 1 1) into 1 8.621 * [backup-simplify]: Simplify (/ 1 1) into 1 8.622 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.622 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.622 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.622 * [taylor]: Taking taylor expansion of x in x 8.622 * [backup-simplify]: Simplify 0 into 0 8.622 * [backup-simplify]: Simplify 1 into 1 8.622 * [backup-simplify]: Simplify (* 1 1) into 1 8.622 * [backup-simplify]: Simplify (* 1 1) into 1 8.623 * [backup-simplify]: Simplify (/ 1 1) into 1 8.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.623 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.623 * [taylor]: Taking taylor expansion of y in x 8.623 * [backup-simplify]: Simplify y into y 8.623 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.623 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.623 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.623 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.623 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.623 * [taylor]: Taking taylor expansion of x in x 8.624 * [backup-simplify]: Simplify 0 into 0 8.624 * [backup-simplify]: Simplify 1 into 1 8.624 * [backup-simplify]: Simplify (* 1 1) into 1 8.624 * [backup-simplify]: Simplify (* 1 1) into 1 8.625 * [backup-simplify]: Simplify (/ 1 1) into 1 8.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.625 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.625 * [taylor]: Taking taylor expansion of y in x 8.625 * [backup-simplify]: Simplify y into y 8.625 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.625 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.625 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.626 * [backup-simplify]: Simplify (+ 1 0) into 1 8.626 * [taylor]: Taking taylor expansion of 1 in y 8.626 * [backup-simplify]: Simplify 1 into 1 8.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.628 * [backup-simplify]: Simplify (+ 0 0) into 0 8.628 * [taylor]: Taking taylor expansion of 0 in y 8.628 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.631 * [backup-simplify]: Simplify (+ 0 0) into 0 8.631 * [taylor]: Taking taylor expansion of 0 in y 8.631 * [backup-simplify]: Simplify 0 into 0 8.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.634 * [backup-simplify]: Simplify (+ 0 0) into 0 8.634 * [taylor]: Taking taylor expansion of 0 in y 8.634 * [backup-simplify]: Simplify 0 into 0 8.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.638 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.638 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.638 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 8.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.638 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.638 * [taylor]: Taking taylor expansion of y in y 8.638 * [backup-simplify]: Simplify 0 into 0 8.638 * [backup-simplify]: Simplify 1 into 1 8.639 * [backup-simplify]: Simplify (* 1 1) into 1 8.639 * [backup-simplify]: Simplify (* 1 1) into 1 8.639 * [backup-simplify]: Simplify (/ 1 1) into 1 8.640 * [backup-simplify]: Simplify (- 1) into -1 8.640 * [backup-simplify]: Simplify -1 into -1 8.640 * [backup-simplify]: Simplify 1 into 1 8.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.644 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.644 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 8.645 * [backup-simplify]: Simplify (- 0) into 0 8.645 * [backup-simplify]: Simplify (+ 0 0) into 0 8.645 * [taylor]: Taking taylor expansion of 0 in y 8.645 * [backup-simplify]: Simplify 0 into 0 8.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.648 * [backup-simplify]: Simplify (- 0) into 0 8.648 * [backup-simplify]: Simplify 0 into 0 8.648 * [backup-simplify]: Simplify 0 into 0 8.648 * [backup-simplify]: Simplify 0 into 0 8.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.653 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.654 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 8.655 * [backup-simplify]: Simplify (- 0) into 0 8.655 * [backup-simplify]: Simplify (+ 0 0) into 0 8.655 * [taylor]: Taking taylor expansion of 0 in y 8.655 * [backup-simplify]: Simplify 0 into 0 8.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.658 * [backup-simplify]: Simplify (- 0) into 0 8.658 * [backup-simplify]: Simplify 0 into 0 8.659 * [backup-simplify]: Simplify 0 into 0 8.659 * [backup-simplify]: Simplify 0 into 0 8.659 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 4))) into (- (pow x 4) (pow y 4)) 8.660 * [backup-simplify]: Simplify (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 8.660 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 8.660 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.660 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.660 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.660 * [taylor]: Taking taylor expansion of x in y 8.660 * [backup-simplify]: Simplify x into x 8.660 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.660 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.660 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.660 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.660 * [taylor]: Taking taylor expansion of y in y 8.660 * [backup-simplify]: Simplify 0 into 0 8.660 * [backup-simplify]: Simplify 1 into 1 8.661 * [backup-simplify]: Simplify (* 1 1) into 1 8.661 * [backup-simplify]: Simplify (* 1 1) into 1 8.661 * [backup-simplify]: Simplify (/ 1 1) into 1 8.662 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.662 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.662 * [taylor]: Taking taylor expansion of x in x 8.662 * [backup-simplify]: Simplify 0 into 0 8.662 * [backup-simplify]: Simplify 1 into 1 8.662 * [backup-simplify]: Simplify (* 1 1) into 1 8.662 * [backup-simplify]: Simplify (* 1 1) into 1 8.663 * [backup-simplify]: Simplify (/ 1 1) into 1 8.663 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.663 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.663 * [taylor]: Taking taylor expansion of y in x 8.663 * [backup-simplify]: Simplify y into y 8.663 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.663 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.663 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.663 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.663 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.663 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.663 * [taylor]: Taking taylor expansion of x in x 8.663 * [backup-simplify]: Simplify 0 into 0 8.663 * [backup-simplify]: Simplify 1 into 1 8.664 * [backup-simplify]: Simplify (* 1 1) into 1 8.664 * [backup-simplify]: Simplify (* 1 1) into 1 8.665 * [backup-simplify]: Simplify (/ 1 1) into 1 8.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.665 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.665 * [taylor]: Taking taylor expansion of y in x 8.665 * [backup-simplify]: Simplify y into y 8.665 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.665 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.665 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.666 * [backup-simplify]: Simplify (+ 1 0) into 1 8.666 * [taylor]: Taking taylor expansion of 1 in y 8.666 * [backup-simplify]: Simplify 1 into 1 8.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.668 * [backup-simplify]: Simplify (+ 0 0) into 0 8.668 * [taylor]: Taking taylor expansion of 0 in y 8.668 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.671 * [backup-simplify]: Simplify (+ 0 0) into 0 8.671 * [taylor]: Taking taylor expansion of 0 in y 8.671 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.675 * [backup-simplify]: Simplify (+ 0 0) into 0 8.675 * [taylor]: Taking taylor expansion of 0 in y 8.675 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.678 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.678 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.678 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 8.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.678 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.678 * [taylor]: Taking taylor expansion of y in y 8.679 * [backup-simplify]: Simplify 0 into 0 8.679 * [backup-simplify]: Simplify 1 into 1 8.679 * [backup-simplify]: Simplify (* 1 1) into 1 8.679 * [backup-simplify]: Simplify (* 1 1) into 1 8.680 * [backup-simplify]: Simplify (/ 1 1) into 1 8.680 * [backup-simplify]: Simplify (- 1) into -1 8.680 * [backup-simplify]: Simplify -1 into -1 8.680 * [backup-simplify]: Simplify 1 into 1 8.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.684 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.684 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 8.685 * [backup-simplify]: Simplify (- 0) into 0 8.685 * [backup-simplify]: Simplify (+ 0 0) into 0 8.685 * [taylor]: Taking taylor expansion of 0 in y 8.685 * [backup-simplify]: Simplify 0 into 0 8.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.688 * [backup-simplify]: Simplify (- 0) into 0 8.688 * [backup-simplify]: Simplify 0 into 0 8.688 * [backup-simplify]: Simplify 0 into 0 8.688 * [backup-simplify]: Simplify 0 into 0 8.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.692 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.693 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 8.694 * [backup-simplify]: Simplify (- 0) into 0 8.694 * [backup-simplify]: Simplify (+ 0 0) into 0 8.694 * [taylor]: Taking taylor expansion of 0 in y 8.694 * [backup-simplify]: Simplify 0 into 0 8.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.697 * [backup-simplify]: Simplify (- 0) into 0 8.698 * [backup-simplify]: Simplify 0 into 0 8.698 * [backup-simplify]: Simplify 0 into 0 8.698 * [backup-simplify]: Simplify 0 into 0 8.698 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 4))) into (- (pow x 4) (pow y 4)) 8.698 * * * [progress]: simplifying candidates 8.704 * [simplify]: Simplifying: (log (sqrt (- (pow x 4.0) (pow y 4.0)))) (exp (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt 1) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (pow 1 4.0)) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt 1) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0))))) (sqrt (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0))) (/ 1 2) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (log (sqrt (- (pow x 4.0) (pow y 4.0)))) (exp (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt 1) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (pow 1 4.0)) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt 1) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0))))) (sqrt (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0))) (/ 1 2) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0))) (+ 1 1) (+ (log (sqrt (- (pow x 4.0) (pow y 4.0)))) (log (sqrt (- (pow x 4.0) (pow y 4.0))))) (log (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))) (exp (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))) (* (* (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0))))) (* (cbrt (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))))) (cbrt (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))) (* (* (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))) (* (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0))) (sqrt (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))) (* (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)))) (* (sqrt (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0))))) (sqrt (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0)))))) (* (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0))))) (* (sqrt (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0))))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow 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4.0))) (log (- (pow x 4.0) (pow y 4.0))) (exp (- (pow x 4.0) (pow y 4.0))) (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (- (pow x 4.0) (pow y 4.0))) (* (* (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0))) (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)) (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0)))) (- (pow y 4.0)) (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0))) (+ (pow x 4.0) (pow y 4.0)) (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0)) (- (pow y 4.0)) (* (pow y 2) (sqrt -1)) (pow x 2) (pow x 2) (* (pow y 2) (sqrt -1)) (pow x 2) (pow x 2) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 8.713 * * [simplify]: Extracting # 0 : cost 0 8.714 * * [simplify]: Extracting # 1 : cost 0 8.714 * * [simplify]: Extracting # 2 : cost 0 8.714 * * [simplify]: Extracting # 3 : cost 0 8.715 * * [simplify]: Extracting # 4 : cost 0 8.715 * * [simplify]: Extracting # 5 : cost 0 8.716 * * [simplify]: Extracting # 6 : cost 0 8.716 * * [simplify]: Extracting # 7 : cost 0 8.717 * * [simplify]: iteration 0 : 184 enodes (cost 3514 ) 8.804 * * [simplify]: Extracting # 0 : cost 0 8.805 * * [simplify]: Extracting # 1 : cost 0 8.806 * * [simplify]: Extracting # 2 : cost 0 8.806 * * [simplify]: Extracting # 3 : cost 0 8.807 * * [simplify]: Extracting # 4 : cost 0 8.808 * * [simplify]: Extracting # 5 : cost 0 8.808 * * [simplify]: iteration 1 : 306 enodes (cost 2563 ) 8.990 * * [simplify]: Extracting # 0 : cost 0 8.992 * * [simplify]: Extracting # 1 : cost 0 8.994 * * [simplify]: Extracting # 2 : cost 0 8.996 * * [simplify]: Extracting # 3 : cost 0 8.997 * * [simplify]: Extracting # 4 : cost 0 8.999 * * [simplify]: iteration 2 : 851 enodes (cost 2463 ) 9.682 * * [simplify]: Extracting # 0 : cost 0 9.684 * * [simplify]: Extracting # 1 : cost 0 9.687 * * [simplify]: Extracting # 2 : cost 0 9.689 * * [simplify]: Extracting # 3 : cost 0 9.691 * * [simplify]: Extracting # 4 : cost 0 9.693 * * [simplify]: iteration 3 : 2190 enodes (cost 2424 ) 10.983 * * [simplify]: Extracting # 0 : cost 0 10.989 * * [simplify]: Extracting # 1 : cost 0 10.995 * * [simplify]: Extracting # 2 : cost 0 11.006 * * [simplify]: Extracting # 3 : cost 0 11.012 * * [simplify]: Extracting # 4 : cost 0 11.018 * * [simplify]: iteration done: 5000 enodes (cost 2398 ) 11.019 * [simplify]: Simplified to: (log (sqrt (- (pow x 4.0) (pow y 4.0)))) (exp (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (pow (sqrt (- (pow x 4.0) (pow y 4.0))) 3) (fabs (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow (sqrt 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(pow y 4.0)))) (exp (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (pow (sqrt (- (pow x 4.0) (pow y 4.0))) 3) (fabs (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0))))) (sqrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0))) 1/2 (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 1 1 2 1 1 (pow (sqrt (- (pow x 4.0) (pow y 4.0))) 4) (- (pow x 4.0) (pow y 4.0)) (pow (sqrt (- (pow x 4.0) (pow y 4.0))) 4) 2 (log (- (pow x 4.0) (pow y 4.0))) (log (- (pow x 4.0) (pow y 4.0))) (exp (- (pow x 4.0) (pow y 4.0))) (pow (- (pow x 4.0) (pow y 4.0)) 3) (pow (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) 4) (cbrt (- (pow x 4.0) (pow y 4.0))) (pow (- (pow x 4.0) (pow y 4.0)) 3) (pow (sqrt (- (pow x 4.0) (pow y 4.0))) 4) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)) (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0))))) (* (sqrt (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0))))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0))))) (* (sqrt (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0))))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow y 4.0) (pow x 4.0)) (pow (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 4) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (pow (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) 4) (cbrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) 1 (- (pow x 4.0) (pow y 4.0)) 1 (- (pow x 4.0) (pow y 4.0)) (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (+ (pow y (/ 4.0 2)) (pow x (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) 1 (- (pow x 4.0) (pow y 4.0)) 1 (- (pow x 4.0) (pow y 4.0)) 1 (- (pow x 4.0) (pow y 4.0)) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) 1 (- (pow x 4.0) (pow y 4.0)) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) 1 2 1 (pow (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (+ 4 1)) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (fabs (cbrt (- (pow x 4.0) (pow y 4.0))))) (pow (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 3) (sqrt (- (pow x 4.0) (pow y 4.0))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (pow (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 3) (sqrt (- (pow x 4.0) (pow y 4.0))) (pow (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 4) (* (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (pow (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 3) (- (pow x 4.0) (pow y 4.0)) (* (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0)) (pow (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 3) (- (pow x 4.0) (pow y 4.0)) (* (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (exp (- (pow x 4.0) (pow y 4.0))) (log (- (pow x 4.0) (pow y 4.0))) (exp (- (pow x 4.0) (pow y 4.0))) (pow (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) 4) (cbrt (- (pow x 4.0) (pow y 4.0))) (pow (- (pow x 4.0) (pow y 4.0)) 3) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)) (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0)))) (- (pow y 4.0)) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow y 4.0) (pow x 4.0)) (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (+ (pow y (/ 4.0 2)) (pow x (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0)) (- (pow y 4.0)) (* (pow y 2) (sqrt -1)) (pow x 2) (pow x 2) (* (pow y 2) (sqrt -1)) (pow x 2) (pow x 2) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 11.021 * * * [progress]: adding candidates to table 11.781 * * [progress]: iteration 3 / 4 11.781 * * * [progress]: picking best candidate 11.787 * * * * [pick]: Picked # 11.787 * * * [progress]: localizing error 11.810 * * * [progress]: generating rewritten candidates 11.810 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 11.837 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 11.890 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 11.937 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 11.996 * * * [progress]: generating series expansions 11.996 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 11.996 * [backup-simplify]: Simplify (sqrt (- (pow x 4.0) (pow y 4.0))) into (sqrt (- (pow x 4) (pow y 4))) 11.996 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in (x y) around 0 12.000 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in y 12.000 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 12.000 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.000 * [taylor]: Taking taylor expansion of x in y 12.000 * [backup-simplify]: Simplify x into x 12.000 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.000 * [taylor]: Taking taylor expansion of y in y 12.000 * [backup-simplify]: Simplify 0 into 0 12.000 * [backup-simplify]: Simplify 1 into 1 12.000 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.001 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.001 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 12.001 * [backup-simplify]: Simplify (sqrt (pow x 4)) into (pow x 2) 12.001 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 12.001 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 12.002 * [backup-simplify]: Simplify (+ 0 0) into 0 12.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 4)))) into 0 12.003 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 12.003 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 12.003 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.003 * [taylor]: Taking taylor expansion of x in x 12.003 * [backup-simplify]: Simplify 0 into 0 12.003 * [backup-simplify]: Simplify 1 into 1 12.003 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.003 * [taylor]: Taking taylor expansion of y in x 12.003 * [backup-simplify]: Simplify y into y 12.003 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.003 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.003 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 12.004 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 12.004 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 12.004 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.004 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 12.004 * [backup-simplify]: Simplify (- 0) into 0 12.005 * [backup-simplify]: Simplify (+ 0 0) into 0 12.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 12.005 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 12.005 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 12.005 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.005 * [taylor]: Taking taylor expansion of x in x 12.005 * [backup-simplify]: Simplify 0 into 0 12.005 * [backup-simplify]: Simplify 1 into 1 12.005 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.005 * [taylor]: Taking taylor expansion of y in x 12.005 * [backup-simplify]: Simplify y into y 12.005 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.006 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.006 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 12.006 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 12.006 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 12.006 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.007 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 12.007 * [backup-simplify]: Simplify (- 0) into 0 12.007 * [backup-simplify]: Simplify (+ 0 0) into 0 12.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 12.008 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 12.008 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 12.008 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.008 * [taylor]: Taking taylor expansion of y in y 12.008 * [backup-simplify]: Simplify 0 into 0 12.008 * [backup-simplify]: Simplify 1 into 1 12.008 * [backup-simplify]: Simplify (* 1 1) into 1 12.009 * [backup-simplify]: Simplify (* 1 1) into 1 12.009 * [backup-simplify]: Simplify (- 1) into -1 12.009 * [backup-simplify]: Simplify (- 1) into -1 12.010 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.011 * [backup-simplify]: Simplify (- 0) into 0 12.012 * [backup-simplify]: Simplify (- 1) into -1 12.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.013 * [taylor]: Taking taylor expansion of 0 in y 12.013 * [backup-simplify]: Simplify 0 into 0 12.013 * [backup-simplify]: Simplify 0 into 0 12.013 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.014 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 12.014 * [backup-simplify]: Simplify (- 0) into 0 12.014 * [backup-simplify]: Simplify (+ 0 0) into 0 12.015 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (pow y 4))))) into 0 12.015 * [taylor]: Taking taylor expansion of 0 in y 12.015 * [backup-simplify]: Simplify 0 into 0 12.015 * [backup-simplify]: Simplify 0 into 0 12.016 * [backup-simplify]: Simplify 0 into 0 12.016 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.017 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 12.018 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 12.018 * [backup-simplify]: Simplify (- 0) into 0 12.018 * [backup-simplify]: Simplify (+ 0 0) into 0 12.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into 0 12.019 * [taylor]: Taking taylor expansion of 0 in y 12.019 * [backup-simplify]: Simplify 0 into 0 12.019 * [backup-simplify]: Simplify 0 into 0 12.019 * [backup-simplify]: Simplify 0 into 0 12.019 * [backup-simplify]: Simplify 0 into 0 12.020 * [backup-simplify]: Simplify 0 into 0 12.020 * [backup-simplify]: Simplify (* 1 1) into 1 12.020 * [backup-simplify]: Simplify (* 1 1) into 1 12.021 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 12.023 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 12.023 * [backup-simplify]: Simplify (- 0) into 0 12.023 * [backup-simplify]: Simplify (+ 1 0) into 1 12.025 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into (/ 1/2 (sqrt (- (pow y 4)))) 12.025 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow y 4)))) in y 12.025 * [taylor]: Taking taylor expansion of 1/2 in y 12.025 * [backup-simplify]: Simplify 1/2 into 1/2 12.025 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 12.025 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 12.025 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.025 * [taylor]: Taking taylor expansion of y in y 12.025 * [backup-simplify]: Simplify 0 into 0 12.025 * [backup-simplify]: Simplify 1 into 1 12.025 * [backup-simplify]: Simplify (* 1 1) into 1 12.026 * [backup-simplify]: Simplify (* 1 1) into 1 12.026 * [backup-simplify]: Simplify (- 1) into -1 12.026 * [backup-simplify]: Simplify (- 1) into -1 12.027 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.028 * [backup-simplify]: Simplify (- 0) into 0 12.029 * [backup-simplify]: Simplify (- 1) into -1 12.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.030 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 12.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.033 * [backup-simplify]: Simplify (- 0) into 0 12.034 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 12.035 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 12.036 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 12.037 * [backup-simplify]: Simplify 0 into 0 12.037 * [backup-simplify]: Simplify 0 into 0 12.037 * [backup-simplify]: Simplify (* (sqrt -1) (pow (* y 1) 2)) into (* (pow y 2) (sqrt -1)) 12.038 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 12.038 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 12.038 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 12.038 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 12.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 12.038 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.038 * [taylor]: Taking taylor expansion of x in y 12.038 * [backup-simplify]: Simplify x into x 12.038 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.038 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.038 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 12.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 12.038 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.038 * [taylor]: Taking taylor expansion of y in y 12.038 * [backup-simplify]: Simplify 0 into 0 12.039 * [backup-simplify]: Simplify 1 into 1 12.039 * [backup-simplify]: Simplify (* 1 1) into 1 12.039 * [backup-simplify]: Simplify (* 1 1) into 1 12.040 * [backup-simplify]: Simplify (/ 1 1) into 1 12.040 * [backup-simplify]: Simplify (- 1) into -1 12.041 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.041 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.043 * [backup-simplify]: Simplify (- 0) into 0 12.044 * [backup-simplify]: Simplify (+ 0 0) into 0 12.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.044 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.044 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.044 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.044 * [taylor]: Taking taylor expansion of x in x 12.044 * [backup-simplify]: Simplify 0 into 0 12.045 * [backup-simplify]: Simplify 1 into 1 12.045 * [backup-simplify]: Simplify (* 1 1) into 1 12.045 * [backup-simplify]: Simplify (* 1 1) into 1 12.046 * [backup-simplify]: Simplify (/ 1 1) into 1 12.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.046 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.046 * [taylor]: Taking taylor expansion of y in x 12.046 * [backup-simplify]: Simplify y into y 12.046 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.046 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.047 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.047 * [backup-simplify]: Simplify (+ 1 0) into 1 12.048 * [backup-simplify]: Simplify (sqrt 1) into 1 12.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.050 * [backup-simplify]: Simplify (+ 0 0) into 0 12.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.051 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.051 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.051 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.051 * [taylor]: Taking taylor expansion of x in x 12.051 * [backup-simplify]: Simplify 0 into 0 12.051 * [backup-simplify]: Simplify 1 into 1 12.051 * [backup-simplify]: Simplify (* 1 1) into 1 12.052 * [backup-simplify]: Simplify (* 1 1) into 1 12.052 * [backup-simplify]: Simplify (/ 1 1) into 1 12.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.052 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.052 * [taylor]: Taking taylor expansion of y in x 12.052 * [backup-simplify]: Simplify y into y 12.052 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.053 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.053 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.053 * [backup-simplify]: Simplify (+ 1 0) into 1 12.054 * [backup-simplify]: Simplify (sqrt 1) into 1 12.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.056 * [backup-simplify]: Simplify (+ 0 0) into 0 12.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.057 * [taylor]: Taking taylor expansion of 1 in y 12.057 * [backup-simplify]: Simplify 1 into 1 12.057 * [taylor]: Taking taylor expansion of 0 in y 12.057 * [backup-simplify]: Simplify 0 into 0 12.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.060 * [backup-simplify]: Simplify (+ 0 0) into 0 12.060 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 12.061 * [taylor]: Taking taylor expansion of 0 in y 12.061 * [backup-simplify]: Simplify 0 into 0 12.061 * [backup-simplify]: Simplify 1 into 1 12.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.064 * [backup-simplify]: Simplify (+ 0 0) into 0 12.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 12.065 * [taylor]: Taking taylor expansion of 0 in y 12.065 * [backup-simplify]: Simplify 0 into 0 12.065 * [backup-simplify]: Simplify 0 into 0 12.065 * [backup-simplify]: Simplify 0 into 0 12.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.069 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 12.069 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 12.071 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 12.071 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 12.071 * [taylor]: Taking taylor expansion of -1/2 in y 12.071 * [backup-simplify]: Simplify -1/2 into -1/2 12.071 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.071 * [taylor]: Taking taylor expansion of y in y 12.071 * [backup-simplify]: Simplify 0 into 0 12.071 * [backup-simplify]: Simplify 1 into 1 12.071 * [backup-simplify]: Simplify (* 1 1) into 1 12.072 * [backup-simplify]: Simplify (* 1 1) into 1 12.072 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.077 * [backup-simplify]: Simplify 0 into 0 12.077 * [backup-simplify]: Simplify 0 into 0 12.077 * [backup-simplify]: Simplify 0 into 0 12.077 * [backup-simplify]: Simplify 0 into 0 12.077 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) into (pow x 2) 12.078 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 12.078 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 12.078 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 12.078 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 12.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 12.078 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.078 * [taylor]: Taking taylor expansion of x in y 12.078 * [backup-simplify]: Simplify x into x 12.078 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.079 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.079 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 12.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 12.079 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.079 * [taylor]: Taking taylor expansion of y in y 12.079 * [backup-simplify]: Simplify 0 into 0 12.079 * [backup-simplify]: Simplify 1 into 1 12.079 * [backup-simplify]: Simplify (* 1 1) into 1 12.080 * [backup-simplify]: Simplify (* 1 1) into 1 12.080 * [backup-simplify]: Simplify (/ 1 1) into 1 12.080 * [backup-simplify]: Simplify (- 1) into -1 12.081 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.081 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.083 * [backup-simplify]: Simplify (- 0) into 0 12.084 * [backup-simplify]: Simplify (+ 0 0) into 0 12.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.085 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.085 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.085 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.085 * [taylor]: Taking taylor expansion of x in x 12.085 * [backup-simplify]: Simplify 0 into 0 12.085 * [backup-simplify]: Simplify 1 into 1 12.085 * [backup-simplify]: Simplify (* 1 1) into 1 12.086 * [backup-simplify]: Simplify (* 1 1) into 1 12.086 * [backup-simplify]: Simplify (/ 1 1) into 1 12.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.086 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.086 * [taylor]: Taking taylor expansion of y in x 12.086 * [backup-simplify]: Simplify y into y 12.086 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.087 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.087 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.087 * [backup-simplify]: Simplify (+ 1 0) into 1 12.088 * [backup-simplify]: Simplify (sqrt 1) into 1 12.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.090 * [backup-simplify]: Simplify (+ 0 0) into 0 12.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.091 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.091 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.091 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.091 * [taylor]: Taking taylor expansion of x in x 12.091 * [backup-simplify]: Simplify 0 into 0 12.091 * [backup-simplify]: Simplify 1 into 1 12.091 * [backup-simplify]: Simplify (* 1 1) into 1 12.092 * [backup-simplify]: Simplify (* 1 1) into 1 12.092 * [backup-simplify]: Simplify (/ 1 1) into 1 12.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.092 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.092 * [taylor]: Taking taylor expansion of y in x 12.092 * [backup-simplify]: Simplify y into y 12.092 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.093 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.093 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.093 * [backup-simplify]: Simplify (+ 1 0) into 1 12.094 * [backup-simplify]: Simplify (sqrt 1) into 1 12.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.096 * [backup-simplify]: Simplify (+ 0 0) into 0 12.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.097 * [taylor]: Taking taylor expansion of 1 in y 12.097 * [backup-simplify]: Simplify 1 into 1 12.097 * [taylor]: Taking taylor expansion of 0 in y 12.097 * [backup-simplify]: Simplify 0 into 0 12.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.100 * [backup-simplify]: Simplify (+ 0 0) into 0 12.101 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 12.101 * [taylor]: Taking taylor expansion of 0 in y 12.101 * [backup-simplify]: Simplify 0 into 0 12.101 * [backup-simplify]: Simplify 1 into 1 12.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.104 * [backup-simplify]: Simplify (+ 0 0) into 0 12.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 12.106 * [taylor]: Taking taylor expansion of 0 in y 12.106 * [backup-simplify]: Simplify 0 into 0 12.106 * [backup-simplify]: Simplify 0 into 0 12.106 * [backup-simplify]: Simplify 0 into 0 12.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.109 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 12.110 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 12.111 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 12.111 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 12.111 * [taylor]: Taking taylor expansion of -1/2 in y 12.111 * [backup-simplify]: Simplify -1/2 into -1/2 12.111 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.111 * [taylor]: Taking taylor expansion of y in y 12.111 * [backup-simplify]: Simplify 0 into 0 12.111 * [backup-simplify]: Simplify 1 into 1 12.112 * [backup-simplify]: Simplify (* 1 1) into 1 12.112 * [backup-simplify]: Simplify (* 1 1) into 1 12.113 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.118 * [backup-simplify]: Simplify 0 into 0 12.118 * [backup-simplify]: Simplify 0 into 0 12.118 * [backup-simplify]: Simplify 0 into 0 12.118 * [backup-simplify]: Simplify 0 into 0 12.118 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) into (pow x 2) 12.118 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 12.119 * [backup-simplify]: Simplify (sqrt (- (pow x 4.0) (pow y 4.0))) into (sqrt (- (pow x 4) (pow y 4))) 12.119 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in (x y) around 0 12.119 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in y 12.119 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 12.119 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.119 * [taylor]: Taking taylor expansion of x in y 12.119 * [backup-simplify]: Simplify x into x 12.119 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.119 * [taylor]: Taking taylor expansion of y in y 12.119 * [backup-simplify]: Simplify 0 into 0 12.119 * [backup-simplify]: Simplify 1 into 1 12.119 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.119 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.119 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 12.120 * [backup-simplify]: Simplify (sqrt (pow x 4)) into (pow x 2) 12.120 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 12.120 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 12.120 * [backup-simplify]: Simplify (+ 0 0) into 0 12.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 4)))) into 0 12.121 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 12.121 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 12.121 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.121 * [taylor]: Taking taylor expansion of x in x 12.121 * [backup-simplify]: Simplify 0 into 0 12.121 * [backup-simplify]: Simplify 1 into 1 12.121 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.121 * [taylor]: Taking taylor expansion of y in x 12.121 * [backup-simplify]: Simplify y into y 12.121 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.121 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.121 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 12.121 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 12.122 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 12.122 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.122 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 12.122 * [backup-simplify]: Simplify (- 0) into 0 12.123 * [backup-simplify]: Simplify (+ 0 0) into 0 12.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 12.123 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 12.123 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 12.123 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.123 * [taylor]: Taking taylor expansion of x in x 12.123 * [backup-simplify]: Simplify 0 into 0 12.123 * [backup-simplify]: Simplify 1 into 1 12.123 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.123 * [taylor]: Taking taylor expansion of y in x 12.123 * [backup-simplify]: Simplify y into y 12.123 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.124 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.124 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 12.124 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 12.124 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 12.124 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.124 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 12.125 * [backup-simplify]: Simplify (- 0) into 0 12.125 * [backup-simplify]: Simplify (+ 0 0) into 0 12.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 12.125 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 12.126 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 12.126 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.126 * [taylor]: Taking taylor expansion of y in y 12.126 * [backup-simplify]: Simplify 0 into 0 12.126 * [backup-simplify]: Simplify 1 into 1 12.126 * [backup-simplify]: Simplify (* 1 1) into 1 12.126 * [backup-simplify]: Simplify (* 1 1) into 1 12.127 * [backup-simplify]: Simplify (- 1) into -1 12.127 * [backup-simplify]: Simplify (- 1) into -1 12.128 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.129 * [backup-simplify]: Simplify (- 0) into 0 12.130 * [backup-simplify]: Simplify (- 1) into -1 12.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.130 * [taylor]: Taking taylor expansion of 0 in y 12.130 * [backup-simplify]: Simplify 0 into 0 12.130 * [backup-simplify]: Simplify 0 into 0 12.131 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.132 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 12.132 * [backup-simplify]: Simplify (- 0) into 0 12.132 * [backup-simplify]: Simplify (+ 0 0) into 0 12.133 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (pow y 4))))) into 0 12.133 * [taylor]: Taking taylor expansion of 0 in y 12.133 * [backup-simplify]: Simplify 0 into 0 12.133 * [backup-simplify]: Simplify 0 into 0 12.133 * [backup-simplify]: Simplify 0 into 0 12.134 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.135 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 12.136 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 12.136 * [backup-simplify]: Simplify (- 0) into 0 12.136 * [backup-simplify]: Simplify (+ 0 0) into 0 12.137 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into 0 12.137 * [taylor]: Taking taylor expansion of 0 in y 12.137 * [backup-simplify]: Simplify 0 into 0 12.137 * [backup-simplify]: Simplify 0 into 0 12.137 * [backup-simplify]: Simplify 0 into 0 12.137 * [backup-simplify]: Simplify 0 into 0 12.138 * [backup-simplify]: Simplify 0 into 0 12.138 * [backup-simplify]: Simplify (* 1 1) into 1 12.138 * [backup-simplify]: Simplify (* 1 1) into 1 12.139 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 12.141 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 12.141 * [backup-simplify]: Simplify (- 0) into 0 12.142 * [backup-simplify]: Simplify (+ 1 0) into 1 12.143 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into (/ 1/2 (sqrt (- (pow y 4)))) 12.143 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow y 4)))) in y 12.143 * [taylor]: Taking taylor expansion of 1/2 in y 12.143 * [backup-simplify]: Simplify 1/2 into 1/2 12.143 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 12.143 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 12.143 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.143 * [taylor]: Taking taylor expansion of y in y 12.143 * [backup-simplify]: Simplify 0 into 0 12.143 * [backup-simplify]: Simplify 1 into 1 12.144 * [backup-simplify]: Simplify (* 1 1) into 1 12.144 * [backup-simplify]: Simplify (* 1 1) into 1 12.144 * [backup-simplify]: Simplify (- 1) into -1 12.145 * [backup-simplify]: Simplify (- 1) into -1 12.145 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.147 * [backup-simplify]: Simplify (- 0) into 0 12.147 * [backup-simplify]: Simplify (- 1) into -1 12.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.149 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 12.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.154 * [backup-simplify]: Simplify (- 0) into 0 12.156 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 12.157 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 12.158 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 12.158 * [backup-simplify]: Simplify 0 into 0 12.158 * [backup-simplify]: Simplify 0 into 0 12.159 * [backup-simplify]: Simplify (* (sqrt -1) (pow (* y 1) 2)) into (* (pow y 2) (sqrt -1)) 12.159 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 12.159 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 12.159 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 12.159 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 12.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 12.159 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.159 * [taylor]: Taking taylor expansion of x in y 12.159 * [backup-simplify]: Simplify x into x 12.160 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.160 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.160 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 12.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 12.160 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.160 * [taylor]: Taking taylor expansion of y in y 12.160 * [backup-simplify]: Simplify 0 into 0 12.160 * [backup-simplify]: Simplify 1 into 1 12.160 * [backup-simplify]: Simplify (* 1 1) into 1 12.161 * [backup-simplify]: Simplify (* 1 1) into 1 12.161 * [backup-simplify]: Simplify (/ 1 1) into 1 12.161 * [backup-simplify]: Simplify (- 1) into -1 12.162 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.162 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.164 * [backup-simplify]: Simplify (- 0) into 0 12.164 * [backup-simplify]: Simplify (+ 0 0) into 0 12.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.165 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.165 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.165 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.165 * [taylor]: Taking taylor expansion of x in x 12.165 * [backup-simplify]: Simplify 0 into 0 12.165 * [backup-simplify]: Simplify 1 into 1 12.165 * [backup-simplify]: Simplify (* 1 1) into 1 12.165 * [backup-simplify]: Simplify (* 1 1) into 1 12.166 * [backup-simplify]: Simplify (/ 1 1) into 1 12.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.166 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.166 * [taylor]: Taking taylor expansion of y in x 12.166 * [backup-simplify]: Simplify y into y 12.166 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.166 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.166 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.166 * [backup-simplify]: Simplify (+ 1 0) into 1 12.166 * [backup-simplify]: Simplify (sqrt 1) into 1 12.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.168 * [backup-simplify]: Simplify (+ 0 0) into 0 12.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.168 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.168 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.168 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.168 * [taylor]: Taking taylor expansion of x in x 12.168 * [backup-simplify]: Simplify 0 into 0 12.168 * [backup-simplify]: Simplify 1 into 1 12.169 * [backup-simplify]: Simplify (* 1 1) into 1 12.169 * [backup-simplify]: Simplify (* 1 1) into 1 12.169 * [backup-simplify]: Simplify (/ 1 1) into 1 12.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.169 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.169 * [taylor]: Taking taylor expansion of y in x 12.169 * [backup-simplify]: Simplify y into y 12.169 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.169 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.170 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.170 * [backup-simplify]: Simplify (+ 1 0) into 1 12.170 * [backup-simplify]: Simplify (sqrt 1) into 1 12.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.171 * [backup-simplify]: Simplify (+ 0 0) into 0 12.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.172 * [taylor]: Taking taylor expansion of 1 in y 12.172 * [backup-simplify]: Simplify 1 into 1 12.172 * [taylor]: Taking taylor expansion of 0 in y 12.172 * [backup-simplify]: Simplify 0 into 0 12.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.174 * [backup-simplify]: Simplify (+ 0 0) into 0 12.174 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 12.174 * [taylor]: Taking taylor expansion of 0 in y 12.174 * [backup-simplify]: Simplify 0 into 0 12.174 * [backup-simplify]: Simplify 1 into 1 12.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.176 * [backup-simplify]: Simplify (+ 0 0) into 0 12.177 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 12.177 * [taylor]: Taking taylor expansion of 0 in y 12.177 * [backup-simplify]: Simplify 0 into 0 12.177 * [backup-simplify]: Simplify 0 into 0 12.177 * [backup-simplify]: Simplify 0 into 0 12.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.179 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 12.179 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 12.180 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 12.180 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 12.180 * [taylor]: Taking taylor expansion of -1/2 in y 12.180 * [backup-simplify]: Simplify -1/2 into -1/2 12.180 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.180 * [taylor]: Taking taylor expansion of y in y 12.180 * [backup-simplify]: Simplify 0 into 0 12.180 * [backup-simplify]: Simplify 1 into 1 12.181 * [backup-simplify]: Simplify (* 1 1) into 1 12.181 * [backup-simplify]: Simplify (* 1 1) into 1 12.181 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.184 * [backup-simplify]: Simplify 0 into 0 12.184 * [backup-simplify]: Simplify 0 into 0 12.184 * [backup-simplify]: Simplify 0 into 0 12.184 * [backup-simplify]: Simplify 0 into 0 12.184 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) into (pow x 2) 12.184 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 12.184 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 12.184 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 12.184 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 12.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 12.185 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.185 * [taylor]: Taking taylor expansion of x in y 12.185 * [backup-simplify]: Simplify x into x 12.185 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.185 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.185 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 12.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 12.185 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.185 * [taylor]: Taking taylor expansion of y in y 12.185 * [backup-simplify]: Simplify 0 into 0 12.185 * [backup-simplify]: Simplify 1 into 1 12.185 * [backup-simplify]: Simplify (* 1 1) into 1 12.185 * [backup-simplify]: Simplify (* 1 1) into 1 12.186 * [backup-simplify]: Simplify (/ 1 1) into 1 12.186 * [backup-simplify]: Simplify (- 1) into -1 12.186 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.186 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.188 * [backup-simplify]: Simplify (- 0) into 0 12.188 * [backup-simplify]: Simplify (+ 0 0) into 0 12.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.188 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.188 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.188 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.188 * [taylor]: Taking taylor expansion of x in x 12.189 * [backup-simplify]: Simplify 0 into 0 12.189 * [backup-simplify]: Simplify 1 into 1 12.189 * [backup-simplify]: Simplify (* 1 1) into 1 12.189 * [backup-simplify]: Simplify (* 1 1) into 1 12.189 * [backup-simplify]: Simplify (/ 1 1) into 1 12.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.189 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.189 * [taylor]: Taking taylor expansion of y in x 12.189 * [backup-simplify]: Simplify y into y 12.189 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.189 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.190 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.190 * [backup-simplify]: Simplify (+ 1 0) into 1 12.190 * [backup-simplify]: Simplify (sqrt 1) into 1 12.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.191 * [backup-simplify]: Simplify (+ 0 0) into 0 12.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.192 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.192 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.192 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.192 * [taylor]: Taking taylor expansion of x in x 12.192 * [backup-simplify]: Simplify 0 into 0 12.192 * [backup-simplify]: Simplify 1 into 1 12.192 * [backup-simplify]: Simplify (* 1 1) into 1 12.193 * [backup-simplify]: Simplify (* 1 1) into 1 12.193 * [backup-simplify]: Simplify (/ 1 1) into 1 12.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.193 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.193 * [taylor]: Taking taylor expansion of y in x 12.193 * [backup-simplify]: Simplify y into y 12.193 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.193 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.193 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.193 * [backup-simplify]: Simplify (+ 1 0) into 1 12.194 * [backup-simplify]: Simplify (sqrt 1) into 1 12.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.195 * [backup-simplify]: Simplify (+ 0 0) into 0 12.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.196 * [taylor]: Taking taylor expansion of 1 in y 12.196 * [backup-simplify]: Simplify 1 into 1 12.196 * [taylor]: Taking taylor expansion of 0 in y 12.196 * [backup-simplify]: Simplify 0 into 0 12.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.200 * [backup-simplify]: Simplify (+ 0 0) into 0 12.201 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 12.201 * [taylor]: Taking taylor expansion of 0 in y 12.201 * [backup-simplify]: Simplify 0 into 0 12.201 * [backup-simplify]: Simplify 1 into 1 12.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.204 * [backup-simplify]: Simplify (+ 0 0) into 0 12.205 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 12.205 * [taylor]: Taking taylor expansion of 0 in y 12.205 * [backup-simplify]: Simplify 0 into 0 12.205 * [backup-simplify]: Simplify 0 into 0 12.205 * [backup-simplify]: Simplify 0 into 0 12.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.209 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 12.209 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 12.211 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 12.211 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 12.211 * [taylor]: Taking taylor expansion of -1/2 in y 12.211 * [backup-simplify]: Simplify -1/2 into -1/2 12.211 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.211 * [taylor]: Taking taylor expansion of y in y 12.211 * [backup-simplify]: Simplify 0 into 0 12.211 * [backup-simplify]: Simplify 1 into 1 12.212 * [backup-simplify]: Simplify (* 1 1) into 1 12.212 * [backup-simplify]: Simplify (* 1 1) into 1 12.212 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.217 * [backup-simplify]: Simplify 0 into 0 12.218 * [backup-simplify]: Simplify 0 into 0 12.218 * [backup-simplify]: Simplify 0 into 0 12.218 * [backup-simplify]: Simplify 0 into 0 12.218 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) into (pow x 2) 12.218 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 12.218 * [backup-simplify]: Simplify (sqrt (- (pow x 4.0) (pow y 4.0))) into (sqrt (- (pow x 4) (pow y 4))) 12.218 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in (x y) around 0 12.218 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in y 12.218 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 12.219 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.219 * [taylor]: Taking taylor expansion of x in y 12.219 * [backup-simplify]: Simplify x into x 12.219 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.219 * [taylor]: Taking taylor expansion of y in y 12.219 * [backup-simplify]: Simplify 0 into 0 12.219 * [backup-simplify]: Simplify 1 into 1 12.219 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.219 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.219 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 12.219 * [backup-simplify]: Simplify (sqrt (pow x 4)) into (pow x 2) 12.219 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 12.220 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 12.220 * [backup-simplify]: Simplify (+ 0 0) into 0 12.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 4)))) into 0 12.220 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 12.220 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 12.220 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.220 * [taylor]: Taking taylor expansion of x in x 12.220 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify 1 into 1 12.220 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.221 * [taylor]: Taking taylor expansion of y in x 12.221 * [backup-simplify]: Simplify y into y 12.221 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.221 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.221 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 12.221 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 12.221 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 12.221 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.222 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 12.222 * [backup-simplify]: Simplify (- 0) into 0 12.222 * [backup-simplify]: Simplify (+ 0 0) into 0 12.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 12.223 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 12.223 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 12.223 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.223 * [taylor]: Taking taylor expansion of x in x 12.223 * [backup-simplify]: Simplify 0 into 0 12.223 * [backup-simplify]: Simplify 1 into 1 12.223 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.223 * [taylor]: Taking taylor expansion of y in x 12.223 * [backup-simplify]: Simplify y into y 12.223 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.223 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.223 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 12.224 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 12.224 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 12.224 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.224 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 12.225 * [backup-simplify]: Simplify (- 0) into 0 12.225 * [backup-simplify]: Simplify (+ 0 0) into 0 12.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 12.225 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 12.225 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 12.225 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.225 * [taylor]: Taking taylor expansion of y in y 12.225 * [backup-simplify]: Simplify 0 into 0 12.225 * [backup-simplify]: Simplify 1 into 1 12.226 * [backup-simplify]: Simplify (* 1 1) into 1 12.226 * [backup-simplify]: Simplify (* 1 1) into 1 12.227 * [backup-simplify]: Simplify (- 1) into -1 12.227 * [backup-simplify]: Simplify (- 1) into -1 12.227 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.229 * [backup-simplify]: Simplify (- 0) into 0 12.229 * [backup-simplify]: Simplify (- 1) into -1 12.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.230 * [taylor]: Taking taylor expansion of 0 in y 12.230 * [backup-simplify]: Simplify 0 into 0 12.230 * [backup-simplify]: Simplify 0 into 0 12.231 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.232 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 12.232 * [backup-simplify]: Simplify (- 0) into 0 12.232 * [backup-simplify]: Simplify (+ 0 0) into 0 12.233 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (pow y 4))))) into 0 12.233 * [taylor]: Taking taylor expansion of 0 in y 12.233 * [backup-simplify]: Simplify 0 into 0 12.233 * [backup-simplify]: Simplify 0 into 0 12.233 * [backup-simplify]: Simplify 0 into 0 12.234 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.235 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 12.236 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 12.236 * [backup-simplify]: Simplify (- 0) into 0 12.237 * [backup-simplify]: Simplify (+ 0 0) into 0 12.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into 0 12.238 * [taylor]: Taking taylor expansion of 0 in y 12.238 * [backup-simplify]: Simplify 0 into 0 12.238 * [backup-simplify]: Simplify 0 into 0 12.238 * [backup-simplify]: Simplify 0 into 0 12.238 * [backup-simplify]: Simplify 0 into 0 12.238 * [backup-simplify]: Simplify 0 into 0 12.238 * [backup-simplify]: Simplify (* 1 1) into 1 12.239 * [backup-simplify]: Simplify (* 1 1) into 1 12.240 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 12.241 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 12.241 * [backup-simplify]: Simplify (- 0) into 0 12.242 * [backup-simplify]: Simplify (+ 1 0) into 1 12.243 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into (/ 1/2 (sqrt (- (pow y 4)))) 12.243 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow y 4)))) in y 12.243 * [taylor]: Taking taylor expansion of 1/2 in y 12.243 * [backup-simplify]: Simplify 1/2 into 1/2 12.243 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 12.243 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 12.243 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.243 * [taylor]: Taking taylor expansion of y in y 12.243 * [backup-simplify]: Simplify 0 into 0 12.243 * [backup-simplify]: Simplify 1 into 1 12.244 * [backup-simplify]: Simplify (* 1 1) into 1 12.244 * [backup-simplify]: Simplify (* 1 1) into 1 12.245 * [backup-simplify]: Simplify (- 1) into -1 12.245 * [backup-simplify]: Simplify (- 1) into -1 12.245 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.247 * [backup-simplify]: Simplify (- 0) into 0 12.248 * [backup-simplify]: Simplify (- 1) into -1 12.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.249 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 12.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.252 * [backup-simplify]: Simplify (- 0) into 0 12.253 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 12.254 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 12.255 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 12.255 * [backup-simplify]: Simplify 0 into 0 12.256 * [backup-simplify]: Simplify 0 into 0 12.256 * [backup-simplify]: Simplify (* (sqrt -1) (pow (* y 1) 2)) into (* (pow y 2) (sqrt -1)) 12.257 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 12.257 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 12.257 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 12.257 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 12.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 12.257 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.257 * [taylor]: Taking taylor expansion of x in y 12.257 * [backup-simplify]: Simplify x into x 12.257 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.257 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.257 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 12.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 12.257 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.257 * [taylor]: Taking taylor expansion of y in y 12.257 * [backup-simplify]: Simplify 0 into 0 12.257 * [backup-simplify]: Simplify 1 into 1 12.258 * [backup-simplify]: Simplify (* 1 1) into 1 12.258 * [backup-simplify]: Simplify (* 1 1) into 1 12.259 * [backup-simplify]: Simplify (/ 1 1) into 1 12.259 * [backup-simplify]: Simplify (- 1) into -1 12.259 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.260 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.262 * [backup-simplify]: Simplify (- 0) into 0 12.262 * [backup-simplify]: Simplify (+ 0 0) into 0 12.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.263 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.263 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.263 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.263 * [taylor]: Taking taylor expansion of x in x 12.263 * [backup-simplify]: Simplify 0 into 0 12.263 * [backup-simplify]: Simplify 1 into 1 12.264 * [backup-simplify]: Simplify (* 1 1) into 1 12.264 * [backup-simplify]: Simplify (* 1 1) into 1 12.264 * [backup-simplify]: Simplify (/ 1 1) into 1 12.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.265 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.265 * [taylor]: Taking taylor expansion of y in x 12.265 * [backup-simplify]: Simplify y into y 12.265 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.265 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.265 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.265 * [backup-simplify]: Simplify (+ 1 0) into 1 12.266 * [backup-simplify]: Simplify (sqrt 1) into 1 12.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.268 * [backup-simplify]: Simplify (+ 0 0) into 0 12.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.269 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.269 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.269 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.269 * [taylor]: Taking taylor expansion of x in x 12.269 * [backup-simplify]: Simplify 0 into 0 12.269 * [backup-simplify]: Simplify 1 into 1 12.270 * [backup-simplify]: Simplify (* 1 1) into 1 12.270 * [backup-simplify]: Simplify (* 1 1) into 1 12.270 * [backup-simplify]: Simplify (/ 1 1) into 1 12.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.270 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.270 * [taylor]: Taking taylor expansion of y in x 12.270 * [backup-simplify]: Simplify y into y 12.271 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.271 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.271 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.271 * [backup-simplify]: Simplify (+ 1 0) into 1 12.272 * [backup-simplify]: Simplify (sqrt 1) into 1 12.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.274 * [backup-simplify]: Simplify (+ 0 0) into 0 12.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.275 * [taylor]: Taking taylor expansion of 1 in y 12.275 * [backup-simplify]: Simplify 1 into 1 12.275 * [taylor]: Taking taylor expansion of 0 in y 12.275 * [backup-simplify]: Simplify 0 into 0 12.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.278 * [backup-simplify]: Simplify (+ 0 0) into 0 12.279 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 12.279 * [taylor]: Taking taylor expansion of 0 in y 12.279 * [backup-simplify]: Simplify 0 into 0 12.279 * [backup-simplify]: Simplify 1 into 1 12.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.287 * [backup-simplify]: Simplify (+ 0 0) into 0 12.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 12.289 * [taylor]: Taking taylor expansion of 0 in y 12.289 * [backup-simplify]: Simplify 0 into 0 12.289 * [backup-simplify]: Simplify 0 into 0 12.289 * [backup-simplify]: Simplify 0 into 0 12.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.293 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 12.293 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 12.294 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 12.295 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 12.295 * [taylor]: Taking taylor expansion of -1/2 in y 12.295 * [backup-simplify]: Simplify -1/2 into -1/2 12.295 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.295 * [taylor]: Taking taylor expansion of y in y 12.295 * [backup-simplify]: Simplify 0 into 0 12.295 * [backup-simplify]: Simplify 1 into 1 12.295 * [backup-simplify]: Simplify (* 1 1) into 1 12.295 * [backup-simplify]: Simplify (* 1 1) into 1 12.296 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.301 * [backup-simplify]: Simplify 0 into 0 12.301 * [backup-simplify]: Simplify 0 into 0 12.301 * [backup-simplify]: Simplify 0 into 0 12.302 * [backup-simplify]: Simplify 0 into 0 12.302 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) into (pow x 2) 12.302 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 12.302 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 12.302 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 12.303 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 12.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 12.303 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.303 * [taylor]: Taking taylor expansion of x in y 12.303 * [backup-simplify]: Simplify x into x 12.303 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.303 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.303 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 12.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 12.303 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.303 * [taylor]: Taking taylor expansion of y in y 12.303 * [backup-simplify]: Simplify 0 into 0 12.303 * [backup-simplify]: Simplify 1 into 1 12.304 * [backup-simplify]: Simplify (* 1 1) into 1 12.304 * [backup-simplify]: Simplify (* 1 1) into 1 12.304 * [backup-simplify]: Simplify (/ 1 1) into 1 12.305 * [backup-simplify]: Simplify (- 1) into -1 12.305 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.306 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.307 * [backup-simplify]: Simplify (- 0) into 0 12.308 * [backup-simplify]: Simplify (+ 0 0) into 0 12.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.308 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.308 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.308 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.308 * [taylor]: Taking taylor expansion of x in x 12.308 * [backup-simplify]: Simplify 0 into 0 12.308 * [backup-simplify]: Simplify 1 into 1 12.308 * [backup-simplify]: Simplify (* 1 1) into 1 12.309 * [backup-simplify]: Simplify (* 1 1) into 1 12.309 * [backup-simplify]: Simplify (/ 1 1) into 1 12.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.309 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.309 * [taylor]: Taking taylor expansion of y in x 12.309 * [backup-simplify]: Simplify y into y 12.309 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.309 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.309 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.309 * [backup-simplify]: Simplify (+ 1 0) into 1 12.310 * [backup-simplify]: Simplify (sqrt 1) into 1 12.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.311 * [backup-simplify]: Simplify (+ 0 0) into 0 12.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.312 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.312 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.312 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.312 * [taylor]: Taking taylor expansion of x in x 12.312 * [backup-simplify]: Simplify 0 into 0 12.312 * [backup-simplify]: Simplify 1 into 1 12.312 * [backup-simplify]: Simplify (* 1 1) into 1 12.312 * [backup-simplify]: Simplify (* 1 1) into 1 12.312 * [backup-simplify]: Simplify (/ 1 1) into 1 12.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.312 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.312 * [taylor]: Taking taylor expansion of y in x 12.312 * [backup-simplify]: Simplify y into y 12.312 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.313 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.313 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.313 * [backup-simplify]: Simplify (+ 1 0) into 1 12.313 * [backup-simplify]: Simplify (sqrt 1) into 1 12.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.315 * [backup-simplify]: Simplify (+ 0 0) into 0 12.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.315 * [taylor]: Taking taylor expansion of 1 in y 12.315 * [backup-simplify]: Simplify 1 into 1 12.315 * [taylor]: Taking taylor expansion of 0 in y 12.315 * [backup-simplify]: Simplify 0 into 0 12.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.317 * [backup-simplify]: Simplify (+ 0 0) into 0 12.317 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 12.318 * [taylor]: Taking taylor expansion of 0 in y 12.318 * [backup-simplify]: Simplify 0 into 0 12.318 * [backup-simplify]: Simplify 1 into 1 12.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.319 * [backup-simplify]: Simplify (+ 0 0) into 0 12.320 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 12.320 * [taylor]: Taking taylor expansion of 0 in y 12.320 * [backup-simplify]: Simplify 0 into 0 12.320 * [backup-simplify]: Simplify 0 into 0 12.320 * [backup-simplify]: Simplify 0 into 0 12.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.322 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 12.322 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 12.323 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 12.323 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 12.323 * [taylor]: Taking taylor expansion of -1/2 in y 12.323 * [backup-simplify]: Simplify -1/2 into -1/2 12.323 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.323 * [taylor]: Taking taylor expansion of y in y 12.323 * [backup-simplify]: Simplify 0 into 0 12.323 * [backup-simplify]: Simplify 1 into 1 12.324 * [backup-simplify]: Simplify (* 1 1) into 1 12.324 * [backup-simplify]: Simplify (* 1 1) into 1 12.324 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.327 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) into (pow x 2) 12.327 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 12.328 * [backup-simplify]: Simplify (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) into (pow (- (pow x 4) (pow y 4)) 1/4) 12.328 * [approximate]: Taking taylor expansion of (pow (- (pow x 4) (pow y 4)) 1/4) in (x y) around 0 12.328 * [taylor]: Taking taylor expansion of (pow (- (pow x 4) (pow y 4)) 1/4) in y 12.328 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (pow x 4) (pow y 4))))) in y 12.328 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (pow x 4) (pow y 4)))) in y 12.328 * [taylor]: Taking taylor expansion of 1/4 in y 12.328 * [backup-simplify]: Simplify 1/4 into 1/4 12.328 * [taylor]: Taking taylor expansion of (log (- (pow x 4) (pow y 4))) in y 12.328 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 12.328 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.328 * [taylor]: Taking taylor expansion of x in y 12.328 * [backup-simplify]: Simplify x into x 12.328 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.328 * [taylor]: Taking taylor expansion of y in y 12.328 * [backup-simplify]: Simplify 0 into 0 12.328 * [backup-simplify]: Simplify 1 into 1 12.328 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.328 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.328 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 12.328 * [backup-simplify]: Simplify (log (pow x 4)) into (log (pow x 4)) 12.328 * [backup-simplify]: Simplify (* 1/4 (log (pow x 4))) into (* 1/4 (log (pow x 4))) 12.328 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow x 4)))) into (pow (pow x 4) 1/4) 12.328 * [taylor]: Taking taylor expansion of (pow (- (pow x 4) (pow y 4)) 1/4) in x 12.328 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (pow x 4) (pow y 4))))) in x 12.328 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (pow x 4) (pow y 4)))) in x 12.328 * [taylor]: Taking taylor expansion of 1/4 in x 12.328 * [backup-simplify]: Simplify 1/4 into 1/4 12.329 * [taylor]: Taking taylor expansion of (log (- (pow x 4) (pow y 4))) in x 12.329 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 12.329 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.329 * [taylor]: Taking taylor expansion of x in x 12.329 * [backup-simplify]: Simplify 0 into 0 12.329 * [backup-simplify]: Simplify 1 into 1 12.329 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.329 * [taylor]: Taking taylor expansion of y in x 12.329 * [backup-simplify]: Simplify y into y 12.329 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.329 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.329 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 12.329 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 12.329 * [backup-simplify]: Simplify (log (- (pow y 4))) into (log (- (pow y 4))) 12.329 * [backup-simplify]: Simplify (* 1/4 (log (- (pow y 4)))) into (* 1/4 (log (- (pow y 4)))) 12.329 * [backup-simplify]: Simplify (exp (* 1/4 (log (- (pow y 4))))) into (pow (- (pow y 4)) 1/4) 12.329 * [taylor]: Taking taylor expansion of (pow (- (pow x 4) (pow y 4)) 1/4) in x 12.329 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (pow x 4) (pow y 4))))) in x 12.329 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (pow x 4) (pow y 4)))) in x 12.329 * [taylor]: Taking taylor expansion of 1/4 in x 12.329 * [backup-simplify]: Simplify 1/4 into 1/4 12.329 * [taylor]: Taking taylor expansion of (log (- (pow x 4) (pow y 4))) in x 12.329 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 12.329 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.330 * [taylor]: Taking taylor expansion of x in x 12.330 * [backup-simplify]: Simplify 0 into 0 12.330 * [backup-simplify]: Simplify 1 into 1 12.330 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.330 * [taylor]: Taking taylor expansion of y in x 12.330 * [backup-simplify]: Simplify y into y 12.330 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.330 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.330 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 12.330 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 12.330 * [backup-simplify]: Simplify (log (- (pow y 4))) into (log (- (pow y 4))) 12.330 * [backup-simplify]: Simplify (* 1/4 (log (- (pow y 4)))) into (* 1/4 (log (- (pow y 4)))) 12.330 * [backup-simplify]: Simplify (exp (* 1/4 (log (- (pow y 4))))) into (pow (- (pow y 4)) 1/4) 12.330 * [taylor]: Taking taylor expansion of (pow (- (pow y 4)) 1/4) in y 12.330 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (pow y 4))))) in y 12.330 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (pow y 4)))) in y 12.330 * [taylor]: Taking taylor expansion of 1/4 in y 12.330 * [backup-simplify]: Simplify 1/4 into 1/4 12.330 * [taylor]: Taking taylor expansion of (log (- (pow y 4))) in y 12.330 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 12.331 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.331 * [taylor]: Taking taylor expansion of y in y 12.331 * [backup-simplify]: Simplify 0 into 0 12.331 * [backup-simplify]: Simplify 1 into 1 12.331 * [backup-simplify]: Simplify (* 1 1) into 1 12.331 * [backup-simplify]: Simplify (* 1 1) into 1 12.331 * [backup-simplify]: Simplify (- 1) into -1 12.332 * [backup-simplify]: Simplify (- 1) into -1 12.332 * [backup-simplify]: Simplify (log -1) into (log -1) 12.332 * [backup-simplify]: Simplify (+ (* (- -4) (log y)) (log -1)) into (+ (log -1) (* 4 (log y))) 12.333 * [backup-simplify]: Simplify (* 1/4 (+ (log -1) (* 4 (log y)))) into (* 1/4 (+ (log -1) (* 4 (log y)))) 12.333 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log -1) (* 4 (log y))))) into (exp (* 1/4 (+ (log -1) (* 4 (log y))))) 12.333 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log -1) (* 4 (log y))))) into (exp (* 1/4 (+ (log -1) (* 4 (log y))))) 12.334 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.334 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 12.334 * [backup-simplify]: Simplify (- 0) into 0 12.334 * [backup-simplify]: Simplify (+ 0 0) into 0 12.335 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (pow y 4)) 1)))) 1) into 0 12.335 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (- (pow y 4))))) into 0 12.336 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (- (pow y 4))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.336 * [taylor]: Taking taylor expansion of 0 in y 12.336 * [backup-simplify]: Simplify 0 into 0 12.336 * [backup-simplify]: Simplify 0 into 0 12.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.337 * [backup-simplify]: Simplify (- 0) into 0 12.337 * [backup-simplify]: Simplify (- 1) into -1 12.338 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 12.338 * [backup-simplify]: Simplify (+ (* (- -4) (log y)) (log -1)) into (+ (log -1) (* 4 (log y))) 12.339 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (log -1) (* 4 (log y))))) into 0 12.340 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log -1) (* 4 (log y))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.341 * [backup-simplify]: Simplify 0 into 0 12.341 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.342 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 12.342 * [backup-simplify]: Simplify (- 0) into 0 12.342 * [backup-simplify]: Simplify (+ 0 0) into 0 12.344 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (pow y 4)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (pow y 4)) 1)))) 2) into 0 12.345 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (- (pow y 4)))))) into 0 12.347 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (- (pow y 4))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.347 * [taylor]: Taking taylor expansion of 0 in y 12.347 * [backup-simplify]: Simplify 0 into 0 12.347 * [backup-simplify]: Simplify 0 into 0 12.347 * [backup-simplify]: Simplify 0 into 0 12.348 * [backup-simplify]: Simplify (- 0) into 0 12.348 * [backup-simplify]: Simplify (- 1) into -1 12.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.351 * [backup-simplify]: Simplify (- 0) into 0 12.351 * [backup-simplify]: Simplify (- 1) into -1 12.354 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 12.355 * [backup-simplify]: Simplify (+ (* (- -4) (log y)) (log -1)) into (+ (log -1) (* 4 (log y))) 12.356 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (log -1) (* 4 (log y)))))) into 0 12.358 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log -1) (* 4 (log y))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.358 * [backup-simplify]: Simplify 0 into 0 12.359 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 12.360 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 12.361 * [backup-simplify]: Simplify (- 0) into 0 12.361 * [backup-simplify]: Simplify (+ 0 0) into 0 12.364 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (pow y 4)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (pow y 4)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (pow y 4)) 1)))) 6) into 0 12.366 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (pow y 4))))))) into 0 12.367 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (- (pow y 4))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.368 * [taylor]: Taking taylor expansion of 0 in y 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log -1) (* 4 (log y))))) into (exp (* 1/4 (+ (log -1) (* 4 (log y))))) 12.369 * [backup-simplify]: Simplify (sqrt (sqrt (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0)))) into (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) 12.369 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in (x y) around 0 12.369 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in y 12.369 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))))) in y 12.369 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4))))) in y 12.369 * [taylor]: Taking taylor expansion of 1/4 in y 12.369 * [backup-simplify]: Simplify 1/4 into 1/4 12.369 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 12.369 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 12.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 12.369 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.369 * [taylor]: Taking taylor expansion of x in y 12.369 * [backup-simplify]: Simplify x into x 12.369 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.369 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.370 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 12.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 12.370 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.370 * [taylor]: Taking taylor expansion of y in y 12.370 * [backup-simplify]: Simplify 0 into 0 12.370 * [backup-simplify]: Simplify 1 into 1 12.370 * [backup-simplify]: Simplify (* 1 1) into 1 12.371 * [backup-simplify]: Simplify (* 1 1) into 1 12.371 * [backup-simplify]: Simplify (/ 1 1) into 1 12.371 * [backup-simplify]: Simplify (- 1) into -1 12.372 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.372 * [backup-simplify]: Simplify (log -1) into (log -1) 12.373 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) (log -1)) into (- (log -1) (* 4 (log y))) 12.374 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (* 4 (log y)))) into (* 1/4 (- (log -1) (* 4 (log y)))) 12.374 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (* 4 (log y))))) into (exp (* 1/4 (- (log -1) (* 4 (log y))))) 12.374 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in x 12.374 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))))) in x 12.374 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4))))) in x 12.374 * [taylor]: Taking taylor expansion of 1/4 in x 12.374 * [backup-simplify]: Simplify 1/4 into 1/4 12.375 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.375 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.375 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.375 * [taylor]: Taking taylor expansion of x in x 12.375 * [backup-simplify]: Simplify 0 into 0 12.375 * [backup-simplify]: Simplify 1 into 1 12.375 * [backup-simplify]: Simplify (* 1 1) into 1 12.375 * [backup-simplify]: Simplify (* 1 1) into 1 12.376 * [backup-simplify]: Simplify (/ 1 1) into 1 12.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.376 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.376 * [taylor]: Taking taylor expansion of y in x 12.376 * [backup-simplify]: Simplify y into y 12.376 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.376 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.376 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.377 * [backup-simplify]: Simplify (+ 1 0) into 1 12.377 * [backup-simplify]: Simplify (log 1) into 0 12.378 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.378 * [backup-simplify]: Simplify (* 1/4 (- (* 4 (log x)))) into (* -1 (log x)) 12.378 * [backup-simplify]: Simplify (exp (* -1 (log x))) into (pow x -1) 12.378 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in x 12.378 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))))) in x 12.378 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4))))) in x 12.378 * [taylor]: Taking taylor expansion of 1/4 in x 12.378 * [backup-simplify]: Simplify 1/4 into 1/4 12.378 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.378 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.378 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.378 * [taylor]: Taking taylor expansion of x in x 12.378 * [backup-simplify]: Simplify 0 into 0 12.378 * [backup-simplify]: Simplify 1 into 1 12.379 * [backup-simplify]: Simplify (* 1 1) into 1 12.379 * [backup-simplify]: Simplify (* 1 1) into 1 12.379 * [backup-simplify]: Simplify (/ 1 1) into 1 12.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.380 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.380 * [taylor]: Taking taylor expansion of y in x 12.380 * [backup-simplify]: Simplify y into y 12.380 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.380 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.380 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.380 * [backup-simplify]: Simplify (+ 1 0) into 1 12.381 * [backup-simplify]: Simplify (log 1) into 0 12.381 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.381 * [backup-simplify]: Simplify (* 1/4 (- (* 4 (log x)))) into (* -1 (log x)) 12.382 * [backup-simplify]: Simplify (exp (* -1 (log x))) into (pow x -1) 12.382 * [taylor]: Taking taylor expansion of (pow x -1) in y 12.382 * [taylor]: Taking taylor expansion of x in y 12.382 * [backup-simplify]: Simplify x into x 12.382 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.382 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.384 * [backup-simplify]: Simplify (+ 0 0) into 0 12.386 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.386 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.387 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 4 (log x))))) into 0 12.388 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 12.388 * [taylor]: Taking taylor expansion of 0 in y 12.388 * [backup-simplify]: Simplify 0 into 0 12.388 * [backup-simplify]: Simplify 0 into 0 12.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 12.388 * [backup-simplify]: Simplify 0 into 0 12.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.391 * [backup-simplify]: Simplify (+ 0 0) into 0 12.394 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.394 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.395 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (* 4 (log x)))))) into 0 12.397 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.397 * [taylor]: Taking taylor expansion of 0 in y 12.397 * [backup-simplify]: Simplify 0 into 0 12.397 * [backup-simplify]: Simplify 0 into 0 12.397 * [backup-simplify]: Simplify 0 into 0 12.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 12.397 * [backup-simplify]: Simplify 0 into 0 12.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.400 * [backup-simplify]: Simplify (+ 0 0) into 0 12.402 * [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 12.403 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.404 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 4 (log x))))))) into 0 12.404 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.405 * [taylor]: Taking taylor expansion of 0 in y 12.405 * [backup-simplify]: Simplify 0 into 0 12.405 * [backup-simplify]: Simplify 0 into 0 12.405 * [backup-simplify]: Simplify (/ 1 (/ 1 x)) into x 12.405 * [backup-simplify]: Simplify (sqrt (sqrt (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0)))) into (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) 12.405 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in (x y) around 0 12.405 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in y 12.405 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))))) in y 12.405 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4))))) in y 12.405 * [taylor]: Taking taylor expansion of 1/4 in y 12.405 * [backup-simplify]: Simplify 1/4 into 1/4 12.405 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 12.405 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 12.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 12.405 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.405 * [taylor]: Taking taylor expansion of x in y 12.405 * [backup-simplify]: Simplify x into x 12.405 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.405 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.405 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 12.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 12.406 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.406 * [taylor]: Taking taylor expansion of y in y 12.406 * [backup-simplify]: Simplify 0 into 0 12.406 * [backup-simplify]: Simplify 1 into 1 12.406 * [backup-simplify]: Simplify (* 1 1) into 1 12.406 * [backup-simplify]: Simplify (* 1 1) into 1 12.406 * [backup-simplify]: Simplify (/ 1 1) into 1 12.407 * [backup-simplify]: Simplify (- 1) into -1 12.407 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.407 * [backup-simplify]: Simplify (log -1) into (log -1) 12.408 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) (log -1)) into (- (log -1) (* 4 (log y))) 12.408 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (* 4 (log y)))) into (* 1/4 (- (log -1) (* 4 (log y)))) 12.408 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (* 4 (log y))))) into (exp (* 1/4 (- (log -1) (* 4 (log y))))) 12.408 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in x 12.408 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))))) in x 12.408 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4))))) in x 12.408 * [taylor]: Taking taylor expansion of 1/4 in x 12.408 * [backup-simplify]: Simplify 1/4 into 1/4 12.409 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.409 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.409 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.409 * [taylor]: Taking taylor expansion of x in x 12.409 * [backup-simplify]: Simplify 0 into 0 12.409 * [backup-simplify]: Simplify 1 into 1 12.409 * [backup-simplify]: Simplify (* 1 1) into 1 12.409 * [backup-simplify]: Simplify (* 1 1) into 1 12.409 * [backup-simplify]: Simplify (/ 1 1) into 1 12.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.409 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.409 * [taylor]: Taking taylor expansion of y in x 12.409 * [backup-simplify]: Simplify y into y 12.409 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.410 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.410 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.412 * [backup-simplify]: Simplify (+ 1 0) into 1 12.413 * [backup-simplify]: Simplify (log 1) into 0 12.413 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.413 * [backup-simplify]: Simplify (* 1/4 (- (* 4 (log x)))) into (* -1 (log x)) 12.413 * [backup-simplify]: Simplify (exp (* -1 (log x))) into (pow x -1) 12.413 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in x 12.413 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))))) in x 12.413 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4))))) in x 12.413 * [taylor]: Taking taylor expansion of 1/4 in x 12.413 * [backup-simplify]: Simplify 1/4 into 1/4 12.413 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.413 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.413 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.413 * [taylor]: Taking taylor expansion of x in x 12.414 * [backup-simplify]: Simplify 0 into 0 12.414 * [backup-simplify]: Simplify 1 into 1 12.414 * [backup-simplify]: Simplify (* 1 1) into 1 12.414 * [backup-simplify]: Simplify (* 1 1) into 1 12.414 * [backup-simplify]: Simplify (/ 1 1) into 1 12.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.414 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.414 * [taylor]: Taking taylor expansion of y in x 12.414 * [backup-simplify]: Simplify y into y 12.414 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.415 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.415 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.415 * [backup-simplify]: Simplify (+ 1 0) into 1 12.415 * [backup-simplify]: Simplify (log 1) into 0 12.415 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.415 * [backup-simplify]: Simplify (* 1/4 (- (* 4 (log x)))) into (* -1 (log x)) 12.416 * [backup-simplify]: Simplify (exp (* -1 (log x))) into (pow x -1) 12.416 * [taylor]: Taking taylor expansion of (pow x -1) in y 12.416 * [taylor]: Taking taylor expansion of x in y 12.416 * [backup-simplify]: Simplify x into x 12.416 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.416 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.417 * [backup-simplify]: Simplify (+ 0 0) into 0 12.418 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.418 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.419 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 4 (log x))))) into 0 12.419 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 12.419 * [taylor]: Taking taylor expansion of 0 in y 12.419 * [backup-simplify]: Simplify 0 into 0 12.419 * [backup-simplify]: Simplify 0 into 0 12.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 12.419 * [backup-simplify]: Simplify 0 into 0 12.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.421 * [backup-simplify]: Simplify (+ 0 0) into 0 12.423 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.423 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.423 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (* 4 (log x)))))) into 0 12.424 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.424 * [taylor]: Taking taylor expansion of 0 in y 12.424 * [backup-simplify]: Simplify 0 into 0 12.424 * [backup-simplify]: Simplify 0 into 0 12.424 * [backup-simplify]: Simplify 0 into 0 12.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 12.424 * [backup-simplify]: Simplify 0 into 0 12.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.426 * [backup-simplify]: Simplify (+ 0 0) into 0 12.429 * [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 12.429 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.430 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 4 (log x))))))) into 0 12.431 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.431 * [taylor]: Taking taylor expansion of 0 in y 12.431 * [backup-simplify]: Simplify 0 into 0 12.431 * [backup-simplify]: Simplify 0 into 0 12.431 * [backup-simplify]: Simplify (/ 1 (/ 1 (- x))) into (* -1 x) 12.431 * * * [progress]: simplifying candidates 12.433 * [simplify]: Simplifying: (log (sqrt (- (pow x 4.0) (pow y 4.0)))) (exp (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt 1) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (pow 1 4.0)) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt 1) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0))))) (sqrt (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0))) (/ 1 2) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (log (sqrt (- (pow x 4.0) (pow y 4.0)))) (exp (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt 1) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (pow 1 4.0)) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt 1) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0))))) (sqrt (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0))) (/ 1 2) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (log (sqrt (- (pow x 4.0) (pow y 4.0)))) (exp (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt 1) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (pow 1 4.0)) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt 1) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0))))) (sqrt (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0))) (/ 1 2) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (log (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (exp (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (* (cbrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))))) (cbrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (* (* (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))))) (sqrt (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0)))))) (sqrt (sqrt (cbrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt 1)) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)))) (sqrt (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)))) (sqrt (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))))) (sqrt (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))))) (sqrt (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))))) (sqrt (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))))) (sqrt (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)))) (sqrt (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)))) (sqrt (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))))) (sqrt (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))))) (sqrt (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))))) (sqrt (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))))) (sqrt (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)))) (sqrt (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)))) (sqrt (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))))) (sqrt (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))))) (sqrt (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (sqrt (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (sqrt (sqrt (pow 1 4.0))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt 1)) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt 1) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)))) (sqrt (sqrt (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0)))))) (sqrt (sqrt (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0))))) (sqrt (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (* (pow y 2) (sqrt -1)) (pow x 2) (pow x 2) (* (pow y 2) (sqrt -1)) (pow x 2) (pow x 2) (* (pow y 2) (sqrt -1)) (pow x 2) (pow x 2) (exp (* 1/4 (+ (log -1) (* 4 (log y))))) x (* -1 x) 12.437 * * [simplify]: Extracting # 0 : cost 0 12.437 * * [simplify]: Extracting # 1 : cost 0 12.438 * * [simplify]: Extracting # 2 : cost 0 12.438 * * [simplify]: Extracting # 3 : cost 0 12.438 * * [simplify]: Extracting # 4 : cost 0 12.438 * * [simplify]: Extracting # 5 : cost 0 12.439 * * [simplify]: Extracting # 6 : cost 0 12.439 * * [simplify]: Extracting # 7 : cost 0 12.439 * * [simplify]: Extracting # 8 : cost 0 12.440 * * [simplify]: iteration 0 : 136 enodes (cost 1849 ) 12.483 * * [simplify]: Extracting # 0 : cost 0 12.484 * * [simplify]: Extracting # 1 : cost 0 12.484 * * [simplify]: Extracting # 2 : cost 0 12.484 * * [simplify]: Extracting # 3 : cost 0 12.484 * * [simplify]: Extracting # 4 : cost 0 12.484 * * [simplify]: Extracting # 5 : cost 0 12.485 * * [simplify]: iteration 1 : 226 enodes (cost 1683 ) 12.538 * * [simplify]: Extracting # 0 : cost 0 12.538 * * [simplify]: Extracting # 1 : cost 0 12.539 * * [simplify]: Extracting # 2 : cost 0 12.540 * * [simplify]: Extracting # 3 : cost 0 12.541 * * [simplify]: Extracting # 4 : cost 0 12.542 * * [simplify]: iteration 2 : 422 enodes (cost 1658 ) 12.732 * * [simplify]: Extracting # 0 : cost 0 12.734 * * [simplify]: Extracting # 1 : cost 0 12.743 * * [simplify]: Extracting # 2 : cost 0 12.746 * * [simplify]: Extracting # 3 : cost 0 12.747 * * [simplify]: Extracting # 4 : cost 0 12.748 * * [simplify]: Extracting # 5 : cost 0 12.749 * * [simplify]: iteration 3 : 1053 enodes (cost 1653 ) 13.964 * * [simplify]: Extracting # 0 : cost 0 13.970 * * [simplify]: Extracting # 1 : cost 0 13.975 * * [simplify]: Extracting # 2 : cost 0 13.979 * * [simplify]: Extracting # 3 : cost 0 13.983 * * [simplify]: Extracting # 4 : cost 0 13.988 * * [simplify]: iteration 4 : 4103 enodes (cost 1653 ) 16.133 * * [simplify]: Extracting # 0 : cost 0 16.139 * * [simplify]: Extracting # 1 : cost 0 16.145 * * [simplify]: Extracting # 2 : cost 0 16.154 * * [simplify]: Extracting # 3 : cost 0 16.159 * * [simplify]: Extracting # 4 : cost 0 16.164 * * [simplify]: iteration done: 5001 enodes (cost 1653 ) 16.165 * [simplify]: Simplified to: (log (sqrt (- (pow x 4.0) (pow y 4.0)))) (exp (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (pow (sqrt (- (pow x 4.0) (pow y 4.0))) 3) (fabs (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0))))) (sqrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0))) 1/2 (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (log (sqrt (- (pow x 4.0) (pow y 4.0)))) (exp (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (pow (sqrt (- (pow x 4.0) (pow y 4.0))) 3) (fabs (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0))))) (sqrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0))) 1/2 (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (log (sqrt (- (pow x 4.0) (pow y 4.0)))) (exp (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (pow (sqrt (- (pow x 4.0) (pow y 4.0))) 3) (fabs (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0))))) (sqrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0))) 1/2 (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (log (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (exp (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (* (cbrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))))) (cbrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (pow (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 3) (fabs (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (fabs (cbrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (cbrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) 1 (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)))) (sqrt (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)))) (sqrt (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))))) (sqrt (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))))) (sqrt (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))))) (sqrt (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))))) (sqrt (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)))) (sqrt (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)))) (sqrt (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))))) (sqrt (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))))) (sqrt (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))))) (sqrt (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))))) (sqrt (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)))) (sqrt (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)))) (sqrt (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))))) (sqrt (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))))) (sqrt (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (sqrt (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) 1 (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 1 (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) 1 (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)))) (sqrt (sqrt (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0)))))) (sqrt (sqrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0))))) (sqrt (sqrt (+ (pow x 4.0) (pow y 4.0)))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (* (pow y 2) (sqrt -1)) (pow x 2) (pow x 2) (* (pow y 2) (sqrt -1)) (pow x 2) (pow x 2) (* (pow y 2) (sqrt -1)) (pow x 2) (pow x 2) (* (pow -1 1/4) y) x (- x) 16.166 * * * [progress]: adding candidates to table 16.795 * [progress]: [Phase 3 of 3] Extracting. 16.796 * * [regime]: Finding splitpoints for: (# #) 16.797 * * * [regime-changes]: Trying 5 branch expressions: ((pow y 4.0) (pow x 4.0) (- (pow x 4.0) (pow y 4.0)) y x) 16.797 * * * * [regimes]: Trying to branch on (pow y 4.0) from (# #) 16.831 * * * * [regimes]: Trying to branch on (pow x 4.0) from (# #) 16.862 * * * * [regimes]: Trying to branch on (- (pow x 4.0) (pow y 4.0)) from (# #) 16.884 * * * * [regimes]: Trying to branch on y from (# #) 16.900 * * * * [regimes]: Trying to branch on x from (# #) 16.913 * * * [regime]: Found split indices: #