14.727 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.070 * * * [progress]: [2/2] Setting up program. 0.074 * [progress]: [Phase 2 of 3] Improving. 0.074 * [simplify]: Simplifying: (- (pow x 4.0) (pow y 4.0)) 0.074 * * [simplify]: Extracting # 0 : cost 0 0.074 * * [simplify]: Extracting # 1 : cost 0 0.074 * * [simplify]: Extracting # 2 : cost 0 0.074 * * [simplify]: Extracting # 3 : cost 0 0.074 * * [simplify]: Extracting # 4 : cost 0 0.074 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.077 * * [simplify]: Extracting # 0 : cost 0 0.077 * * [simplify]: Extracting # 1 : cost 0 0.077 * * [simplify]: Extracting # 2 : cost 0 0.077 * * [simplify]: Extracting # 3 : cost 0 0.077 * * [simplify]: Extracting # 4 : cost 0 0.077 * * [simplify]: iteration 1 : 14 enodes (cost 7 ) 0.082 * * [simplify]: Extracting # 0 : cost 0 0.082 * * [simplify]: Extracting # 1 : cost 0 0.082 * * [simplify]: Extracting # 2 : cost 0 0.083 * * [simplify]: Extracting # 3 : cost 0 0.083 * * [simplify]: Extracting # 4 : cost 0 0.083 * * [simplify]: iteration 2 : 29 enodes (cost 7 ) 0.096 * * [simplify]: Extracting # 0 : cost 0 0.096 * * [simplify]: Extracting # 1 : cost 0 0.096 * * [simplify]: Extracting # 2 : cost 0 0.096 * * [simplify]: Extracting # 3 : cost 0 0.097 * * [simplify]: Extracting # 4 : cost 0 0.097 * * [simplify]: Extracting # 5 : cost 0 0.097 * * [simplify]: iteration 3 : 69 enodes (cost 7 ) 0.151 * * [simplify]: Extracting # 0 : cost 0 0.152 * * [simplify]: Extracting # 1 : cost 0 0.152 * * [simplify]: Extracting # 2 : cost 0 0.153 * * [simplify]: Extracting # 3 : cost 0 0.153 * * [simplify]: Extracting # 4 : cost 0 0.154 * * [simplify]: iteration 4 : 200 enodes (cost 7 ) 0.263 * * [simplify]: Extracting # 0 : cost 0 0.263 * * [simplify]: Extracting # 1 : cost 0 0.264 * * [simplify]: Extracting # 2 : cost 0 0.265 * * [simplify]: Extracting # 3 : cost 0 0.265 * * [simplify]: Extracting # 4 : cost 0 0.266 * * [simplify]: Extracting # 5 : cost 0 0.266 * * [simplify]: iteration 5 : 611 enodes (cost 7 ) 0.987 * * [simplify]: Extracting # 0 : cost 0 0.990 * * [simplify]: Extracting # 1 : cost 0 0.992 * * [simplify]: Extracting # 2 : cost 0 1.000 * * [simplify]: Extracting # 3 : cost 0 1.003 * * [simplify]: Extracting # 4 : cost 0 1.006 * * [simplify]: iteration 6 : 2916 enodes (cost 7 ) 2.671 * * [simplify]: Extracting # 0 : cost 0 2.683 * * [simplify]: Extracting # 1 : cost 0 2.694 * * [simplify]: Extracting # 2 : cost 0 2.704 * * [simplify]: Extracting # 3 : cost 0 2.710 * * [simplify]: Extracting # 4 : cost 0 2.715 * * [simplify]: iteration done: 5000 enodes (cost 7 ) 2.716 * [simplify]: Simplified to: (- (pow x 4.0) (pow y 4.0)) 2.716 * * [progress]: iteration 1 / 4 2.716 * * * [progress]: picking best candidate 2.718 * * * * [pick]: Picked # 2.718 * * * [progress]: localizing error 2.734 * * * [progress]: generating rewritten candidates 2.735 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.761 * * * [progress]: generating series expansions 2.761 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.761 * [backup-simplify]: Simplify (- (pow x 4.0) (pow y 4.0)) into (- (pow x 4) (pow y 4)) 2.761 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (x y) around 0 2.761 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 2.761 * [taylor]: Taking taylor expansion of (pow x 4) in y 2.761 * [taylor]: Taking taylor expansion of x in y 2.761 * [backup-simplify]: Simplify x into x 2.761 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.761 * [taylor]: Taking taylor expansion of y in y 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 1 into 1 2.761 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 2.761 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.761 * [taylor]: Taking taylor expansion of x in x 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 1 into 1 2.761 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.761 * [taylor]: Taking taylor expansion of y in x 2.761 * [backup-simplify]: Simplify y into y 2.761 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 2.761 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.761 * [taylor]: Taking taylor expansion of x in x 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 1 into 1 2.761 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.761 * [taylor]: Taking taylor expansion of y in x 2.761 * [backup-simplify]: Simplify y into y 2.761 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.762 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.762 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 2.762 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 2.762 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 2.762 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.762 * [taylor]: Taking taylor expansion of y in y 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify 1 into 1 2.762 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.762 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.763 * [backup-simplify]: Simplify (- 0) into 0 2.763 * [backup-simplify]: Simplify (+ 0 0) into 0 2.763 * [taylor]: Taking taylor expansion of 0 in y 2.763 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.764 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.764 * [backup-simplify]: Simplify (- 0) into 0 2.764 * [backup-simplify]: Simplify (+ 0 0) into 0 2.764 * [taylor]: Taking taylor expansion of 0 in y 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.765 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.766 * [backup-simplify]: Simplify (- 0) into 0 2.766 * [backup-simplify]: Simplify (+ 0 0) into 0 2.766 * [taylor]: Taking taylor expansion of 0 in y 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 2.766 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 2.766 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 2.766 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 2.766 * [taylor]: Taking taylor expansion of (pow x 4) in y 2.766 * [taylor]: Taking taylor expansion of x in y 2.766 * [backup-simplify]: Simplify x into x 2.766 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.767 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.767 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 2.767 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.767 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.767 * [taylor]: Taking taylor expansion of y in y 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify 1 into 1 2.767 * [backup-simplify]: Simplify (* 1 1) into 1 2.767 * [backup-simplify]: Simplify (* 1 1) into 1 2.767 * [backup-simplify]: Simplify (/ 1 1) into 1 2.767 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.768 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.768 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.768 * [taylor]: Taking taylor expansion of x in x 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 1 into 1 2.768 * [backup-simplify]: Simplify (* 1 1) into 1 2.768 * [backup-simplify]: Simplify (* 1 1) into 1 2.768 * [backup-simplify]: Simplify (/ 1 1) into 1 2.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.768 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.768 * [taylor]: Taking taylor expansion of y in x 2.768 * [backup-simplify]: Simplify y into y 2.768 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.769 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.769 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.769 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.769 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.769 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.769 * [taylor]: Taking taylor expansion of x in x 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 1 into 1 2.769 * [backup-simplify]: Simplify (* 1 1) into 1 2.769 * [backup-simplify]: Simplify (* 1 1) into 1 2.769 * [backup-simplify]: Simplify (/ 1 1) into 1 2.769 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.769 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.770 * [taylor]: Taking taylor expansion of y in x 2.770 * [backup-simplify]: Simplify y into y 2.770 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.770 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.770 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.770 * [backup-simplify]: Simplify (+ 1 0) into 1 2.770 * [taylor]: Taking taylor expansion of 1 in y 2.770 * [backup-simplify]: Simplify 1 into 1 2.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.772 * [backup-simplify]: Simplify (+ 0 0) into 0 2.772 * [taylor]: Taking taylor expansion of 0 in y 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.773 * [backup-simplify]: Simplify (+ 0 0) into 0 2.773 * [taylor]: Taking taylor expansion of 0 in y 2.773 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.777 * [backup-simplify]: Simplify (+ 0 0) into 0 2.777 * [taylor]: Taking taylor expansion of 0 in y 2.777 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.780 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 2.780 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 2.780 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 2.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.780 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.780 * [taylor]: Taking taylor expansion of y in y 2.780 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify 1 into 1 2.781 * [backup-simplify]: Simplify (* 1 1) into 1 2.781 * [backup-simplify]: Simplify (* 1 1) into 1 2.782 * [backup-simplify]: Simplify (/ 1 1) into 1 2.782 * [backup-simplify]: Simplify (- 1) into -1 2.782 * [backup-simplify]: Simplify -1 into -1 2.782 * [backup-simplify]: Simplify 1 into 1 2.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.787 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.787 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 2.788 * [backup-simplify]: Simplify (- 0) into 0 2.788 * [backup-simplify]: Simplify (+ 0 0) into 0 2.788 * [taylor]: Taking taylor expansion of 0 in y 2.788 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.791 * [backup-simplify]: Simplify (- 0) into 0 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.796 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.796 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 2.797 * [backup-simplify]: Simplify (- 0) into 0 2.797 * [backup-simplify]: Simplify (+ 0 0) into 0 2.798 * [taylor]: Taking taylor expansion of 0 in y 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.801 * [backup-simplify]: Simplify (- 0) into 0 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 4))) into (- (pow x 4) (pow y 4)) 2.802 * [backup-simplify]: Simplify (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 2.802 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 2.802 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 2.802 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 2.802 * [taylor]: Taking taylor expansion of (pow x 4) in y 2.802 * [taylor]: Taking taylor expansion of x in y 2.802 * [backup-simplify]: Simplify x into x 2.802 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.802 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.802 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 2.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.803 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.803 * [taylor]: Taking taylor expansion of y in y 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 1 into 1 2.803 * [backup-simplify]: Simplify (* 1 1) into 1 2.803 * [backup-simplify]: Simplify (* 1 1) into 1 2.804 * [backup-simplify]: Simplify (/ 1 1) into 1 2.804 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.804 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.804 * [taylor]: Taking taylor expansion of x in x 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 1 into 1 2.804 * [backup-simplify]: Simplify (* 1 1) into 1 2.805 * [backup-simplify]: Simplify (* 1 1) into 1 2.805 * [backup-simplify]: Simplify (/ 1 1) into 1 2.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.805 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.805 * [taylor]: Taking taylor expansion of y in x 2.805 * [backup-simplify]: Simplify y into y 2.805 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.806 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.806 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.806 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.806 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.806 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.806 * [taylor]: Taking taylor expansion of x in x 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify 1 into 1 2.806 * [backup-simplify]: Simplify (* 1 1) into 1 2.807 * [backup-simplify]: Simplify (* 1 1) into 1 2.807 * [backup-simplify]: Simplify (/ 1 1) into 1 2.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.807 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.807 * [taylor]: Taking taylor expansion of y in x 2.807 * [backup-simplify]: Simplify y into y 2.807 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.807 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.808 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.808 * [backup-simplify]: Simplify (+ 1 0) into 1 2.808 * [taylor]: Taking taylor expansion of 1 in y 2.808 * [backup-simplify]: Simplify 1 into 1 2.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.811 * [backup-simplify]: Simplify (+ 0 0) into 0 2.811 * [taylor]: Taking taylor expansion of 0 in y 2.811 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.814 * [backup-simplify]: Simplify (+ 0 0) into 0 2.814 * [taylor]: Taking taylor expansion of 0 in y 2.814 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 2.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.821 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 2.822 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 2.822 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 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 2.823 * [backup-simplify]: Simplify (* 1 1) into 1 2.823 * [backup-simplify]: Simplify (/ 1 1) into 1 2.823 * [backup-simplify]: Simplify (- 1) into -1 2.823 * [backup-simplify]: Simplify -1 into -1 2.823 * [backup-simplify]: Simplify 1 into 1 2.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.827 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.828 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 2.828 * [backup-simplify]: Simplify (- 0) 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 2.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.831 * [backup-simplify]: Simplify (- 0) into 0 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.836 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.836 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 2.837 * [backup-simplify]: Simplify (- 0) into 0 2.838 * [backup-simplify]: Simplify (+ 0 0) into 0 2.838 * [taylor]: Taking taylor expansion of 0 in y 2.838 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.841 * [backup-simplify]: Simplify (- 0) into 0 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 4))) into (- (pow x 4) (pow y 4)) 2.842 * * * [progress]: simplifying candidates 2.843 * [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)) 2.844 * * [simplify]: Extracting # 0 : cost 0 2.844 * * [simplify]: Extracting # 1 : cost 0 2.845 * * [simplify]: Extracting # 2 : cost 0 2.845 * * [simplify]: Extracting # 3 : cost 0 2.845 * * [simplify]: Extracting # 4 : cost 0 2.845 * * [simplify]: Extracting # 5 : cost 0 2.845 * * [simplify]: Extracting # 6 : cost 0 2.845 * * [simplify]: iteration 0 : 61 enodes (cost 356 ) 2.876 * * [simplify]: Extracting # 0 : cost 0 2.876 * * [simplify]: Extracting # 1 : cost 0 2.876 * * [simplify]: Extracting # 2 : cost 0 2.877 * * [simplify]: Extracting # 3 : cost 0 2.877 * * [simplify]: Extracting # 4 : cost 0 2.877 * * [simplify]: iteration 1 : 127 enodes (cost 345 ) 2.932 * * [simplify]: Extracting # 0 : cost 0 2.932 * * [simplify]: Extracting # 1 : cost 0 2.933 * * [simplify]: Extracting # 2 : cost 0 2.933 * * [simplify]: Extracting # 3 : cost 0 2.934 * * [simplify]: Extracting # 4 : cost 0 2.934 * * [simplify]: iteration 2 : 305 enodes (cost 331 ) 3.107 * * [simplify]: Extracting # 0 : cost 0 3.108 * * [simplify]: Extracting # 1 : cost 0 3.110 * * [simplify]: Extracting # 2 : cost 0 3.111 * * [simplify]: Extracting # 3 : cost 0 3.112 * * [simplify]: Extracting # 4 : cost 0 3.113 * * [simplify]: iteration 3 : 995 enodes (cost 331 ) 4.429 * * [simplify]: Extracting # 0 : cost 0 4.441 * * [simplify]: Extracting # 1 : cost 0 4.452 * * [simplify]: Extracting # 2 : cost 0 4.463 * * [simplify]: Extracting # 3 : cost 0 4.472 * * [simplify]: Extracting # 4 : cost 0 4.477 * * [simplify]: iteration 4 : 4931 enodes (cost 331 ) 7.548 * * [simplify]: Extracting # 0 : cost 0 7.559 * * [simplify]: Extracting # 1 : cost 0 7.565 * * [simplify]: Extracting # 2 : cost 0 7.570 * * [simplify]: Extracting # 3 : cost 0 7.581 * * [simplify]: iteration done: 5001 enodes (cost 331 ) 7.581 * [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)) 7.582 * * * [progress]: adding candidates to table 7.668 * * [progress]: iteration 2 / 4 7.668 * * * [progress]: picking best candidate 7.671 * * * * [pick]: Picked # 7.671 * * * [progress]: localizing error 7.682 * * * [progress]: generating rewritten candidates 7.682 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.723 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.751 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 7.930 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 7.984 * * * [progress]: generating series expansions 7.984 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.985 * [backup-simplify]: Simplify (sqrt (- (pow x 4.0) (pow y 4.0))) into (sqrt (- (pow x 4) (pow y 4))) 7.985 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in (x y) around 0 7.985 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in y 7.985 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 7.985 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.985 * [taylor]: Taking taylor expansion of x in y 7.985 * [backup-simplify]: Simplify x into x 7.985 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.985 * [taylor]: Taking taylor expansion of y in y 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 1 into 1 7.985 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.985 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.985 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 7.985 * [backup-simplify]: Simplify (sqrt (pow x 4)) into (pow x 2) 7.985 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.986 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 7.986 * [backup-simplify]: Simplify (+ 0 0) into 0 7.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 4)))) into 0 7.986 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 7.986 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 7.986 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.986 * [taylor]: Taking taylor expansion of x in x 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [backup-simplify]: Simplify 1 into 1 7.986 * [taylor]: Taking taylor expansion of (pow y 4) in x 7.986 * [taylor]: Taking taylor expansion of y in x 7.986 * [backup-simplify]: Simplify y into y 7.986 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.987 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 7.987 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 7.987 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 7.987 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 7.987 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.987 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 7.987 * [backup-simplify]: Simplify (- 0) into 0 7.988 * [backup-simplify]: Simplify (+ 0 0) into 0 7.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 7.988 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 7.988 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 7.988 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.988 * [taylor]: Taking taylor expansion of x in x 7.988 * [backup-simplify]: Simplify 0 into 0 7.988 * [backup-simplify]: Simplify 1 into 1 7.988 * [taylor]: Taking taylor expansion of (pow y 4) in x 7.988 * [taylor]: Taking taylor expansion of y in x 7.988 * [backup-simplify]: Simplify y into y 7.988 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.988 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 7.988 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 7.988 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 7.988 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 7.988 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.989 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 7.989 * [backup-simplify]: Simplify (- 0) into 0 7.989 * [backup-simplify]: Simplify (+ 0 0) into 0 7.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 7.989 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 7.989 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 7.989 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.989 * [taylor]: Taking taylor expansion of y in y 7.990 * [backup-simplify]: Simplify 0 into 0 7.990 * [backup-simplify]: Simplify 1 into 1 7.990 * [backup-simplify]: Simplify (* 1 1) into 1 7.990 * [backup-simplify]: Simplify (* 1 1) into 1 7.990 * [backup-simplify]: Simplify (- 1) into -1 7.991 * [backup-simplify]: Simplify (- 1) into -1 7.991 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 7.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.992 * [backup-simplify]: Simplify (- 0) into 0 7.992 * [backup-simplify]: Simplify (- 1) into -1 7.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 7.993 * [taylor]: Taking taylor expansion of 0 in y 7.993 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.994 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 7.994 * [backup-simplify]: Simplify (- 0) into 0 7.994 * [backup-simplify]: Simplify (+ 0 0) into 0 7.995 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (pow y 4))))) into 0 7.995 * [taylor]: Taking taylor expansion of 0 in y 7.995 * [backup-simplify]: Simplify 0 into 0 7.995 * [backup-simplify]: Simplify 0 into 0 7.995 * [backup-simplify]: Simplify 0 into 0 7.995 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 7.996 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.996 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 7.997 * [backup-simplify]: Simplify (- 0) into 0 7.997 * [backup-simplify]: Simplify (+ 0 0) into 0 7.997 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into 0 7.997 * [taylor]: Taking taylor expansion of 0 in y 7.998 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify (* 1 1) into 1 7.998 * [backup-simplify]: Simplify (* 1 1) into 1 7.999 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.000 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 8.000 * [backup-simplify]: Simplify (- 0) into 0 8.000 * [backup-simplify]: Simplify (+ 1 0) into 1 8.001 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into (/ 1/2 (sqrt (- (pow y 4)))) 8.001 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow y 4)))) in y 8.001 * [taylor]: Taking taylor expansion of 1/2 in y 8.001 * [backup-simplify]: Simplify 1/2 into 1/2 8.001 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 8.001 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 8.001 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.001 * [taylor]: Taking taylor expansion of y in y 8.001 * [backup-simplify]: Simplify 0 into 0 8.001 * [backup-simplify]: Simplify 1 into 1 8.001 * [backup-simplify]: Simplify (* 1 1) into 1 8.002 * [backup-simplify]: Simplify (* 1 1) into 1 8.002 * [backup-simplify]: Simplify (- 1) into -1 8.002 * [backup-simplify]: Simplify (- 1) into -1 8.002 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.003 * [backup-simplify]: Simplify (- 0) into 0 8.003 * [backup-simplify]: Simplify (- 1) into -1 8.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.005 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 8.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.011 * [backup-simplify]: Simplify (- 0) into 0 8.011 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.012 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 8.013 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 8.013 * [backup-simplify]: Simplify 0 into 0 8.013 * [backup-simplify]: Simplify 0 into 0 8.014 * [backup-simplify]: Simplify (* (sqrt -1) (pow (* y 1) 2)) into (* (pow y 2) (sqrt -1)) 8.014 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 8.014 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 8.014 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 8.015 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.015 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.015 * [taylor]: Taking taylor expansion of x in y 8.015 * [backup-simplify]: Simplify x into x 8.015 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.015 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.015 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.015 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.015 * [taylor]: Taking taylor expansion of y in y 8.015 * [backup-simplify]: Simplify 0 into 0 8.015 * [backup-simplify]: Simplify 1 into 1 8.015 * [backup-simplify]: Simplify (* 1 1) into 1 8.015 * [backup-simplify]: Simplify (* 1 1) into 1 8.016 * [backup-simplify]: Simplify (/ 1 1) into 1 8.016 * [backup-simplify]: Simplify (- 1) into -1 8.016 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.016 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.018 * [backup-simplify]: Simplify (- 0) into 0 8.018 * [backup-simplify]: Simplify (+ 0 0) into 0 8.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.019 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.019 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.019 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.019 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.019 * [taylor]: Taking taylor expansion of x in x 8.019 * [backup-simplify]: Simplify 0 into 0 8.019 * [backup-simplify]: Simplify 1 into 1 8.019 * [backup-simplify]: Simplify (* 1 1) into 1 8.020 * [backup-simplify]: Simplify (* 1 1) into 1 8.020 * [backup-simplify]: Simplify (/ 1 1) into 1 8.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.020 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.020 * [taylor]: Taking taylor expansion of y in x 8.020 * [backup-simplify]: Simplify y into y 8.020 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.021 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.021 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.021 * [backup-simplify]: Simplify (+ 1 0) into 1 8.022 * [backup-simplify]: Simplify (sqrt 1) into 1 8.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.024 * [backup-simplify]: Simplify (+ 0 0) into 0 8.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.025 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.025 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.025 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.025 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.025 * [taylor]: Taking taylor expansion of x in x 8.025 * [backup-simplify]: Simplify 0 into 0 8.025 * [backup-simplify]: Simplify 1 into 1 8.026 * [backup-simplify]: Simplify (* 1 1) into 1 8.026 * [backup-simplify]: Simplify (* 1 1) into 1 8.027 * [backup-simplify]: Simplify (/ 1 1) into 1 8.027 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.027 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.027 * [taylor]: Taking taylor expansion of y in x 8.027 * [backup-simplify]: Simplify y into y 8.027 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.027 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.027 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.028 * [backup-simplify]: Simplify (+ 1 0) into 1 8.028 * [backup-simplify]: Simplify (sqrt 1) into 1 8.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.031 * [backup-simplify]: Simplify (+ 0 0) into 0 8.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.031 * [taylor]: Taking taylor expansion of 1 in y 8.031 * [backup-simplify]: Simplify 1 into 1 8.031 * [taylor]: Taking taylor expansion of 0 in y 8.032 * [backup-simplify]: Simplify 0 into 0 8.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.035 * [backup-simplify]: Simplify (+ 0 0) into 0 8.036 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 8.036 * [taylor]: Taking taylor expansion of 0 in y 8.036 * [backup-simplify]: Simplify 0 into 0 8.036 * [backup-simplify]: Simplify 1 into 1 8.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.040 * [backup-simplify]: Simplify (+ 0 0) into 0 8.041 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 8.041 * [taylor]: Taking taylor expansion of 0 in y 8.041 * [backup-simplify]: Simplify 0 into 0 8.041 * [backup-simplify]: Simplify 0 into 0 8.041 * [backup-simplify]: Simplify 0 into 0 8.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.045 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.045 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.047 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 8.047 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 8.047 * [taylor]: Taking taylor expansion of -1/2 in y 8.047 * [backup-simplify]: Simplify -1/2 into -1/2 8.047 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.047 * [taylor]: Taking taylor expansion of y in y 8.047 * [backup-simplify]: Simplify 0 into 0 8.048 * [backup-simplify]: Simplify 1 into 1 8.048 * [backup-simplify]: Simplify (* 1 1) into 1 8.048 * [backup-simplify]: Simplify (* 1 1) into 1 8.049 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 8.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.054 * [backup-simplify]: Simplify 0 into 0 8.054 * [backup-simplify]: Simplify 0 into 0 8.054 * [backup-simplify]: Simplify 0 into 0 8.054 * [backup-simplify]: Simplify 0 into 0 8.054 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) into (pow x 2) 8.055 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 8.055 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 8.055 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 8.055 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.055 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.055 * [taylor]: Taking taylor expansion of x in y 8.055 * [backup-simplify]: Simplify x into x 8.055 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.055 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.056 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.056 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.056 * [taylor]: Taking taylor expansion of y in y 8.056 * [backup-simplify]: Simplify 0 into 0 8.056 * [backup-simplify]: Simplify 1 into 1 8.056 * [backup-simplify]: Simplify (* 1 1) into 1 8.057 * [backup-simplify]: Simplify (* 1 1) into 1 8.057 * [backup-simplify]: Simplify (/ 1 1) into 1 8.057 * [backup-simplify]: Simplify (- 1) into -1 8.058 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.058 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.061 * [backup-simplify]: Simplify (- 0) into 0 8.061 * [backup-simplify]: Simplify (+ 0 0) into 0 8.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.062 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.062 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.062 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.062 * [taylor]: Taking taylor expansion of x in x 8.062 * [backup-simplify]: Simplify 0 into 0 8.062 * [backup-simplify]: Simplify 1 into 1 8.062 * [backup-simplify]: Simplify (* 1 1) into 1 8.063 * [backup-simplify]: Simplify (* 1 1) into 1 8.063 * [backup-simplify]: Simplify (/ 1 1) into 1 8.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.063 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.063 * [taylor]: Taking taylor expansion of y in x 8.063 * [backup-simplify]: Simplify y into y 8.063 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.063 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.063 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.063 * [backup-simplify]: Simplify (+ 1 0) into 1 8.064 * [backup-simplify]: Simplify (sqrt 1) into 1 8.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.065 * [backup-simplify]: Simplify (+ 0 0) into 0 8.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.066 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.066 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.066 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.066 * [taylor]: Taking taylor expansion of x in x 8.066 * [backup-simplify]: Simplify 0 into 0 8.066 * [backup-simplify]: Simplify 1 into 1 8.066 * [backup-simplify]: Simplify (* 1 1) into 1 8.066 * [backup-simplify]: Simplify (* 1 1) into 1 8.067 * [backup-simplify]: Simplify (/ 1 1) into 1 8.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.067 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.067 * [taylor]: Taking taylor expansion of y in x 8.067 * [backup-simplify]: Simplify y into y 8.067 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.067 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.067 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.067 * [backup-simplify]: Simplify (+ 1 0) into 1 8.068 * [backup-simplify]: Simplify (sqrt 1) into 1 8.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.069 * [backup-simplify]: Simplify (+ 0 0) into 0 8.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.070 * [taylor]: Taking taylor expansion of 1 in y 8.070 * [backup-simplify]: Simplify 1 into 1 8.070 * [taylor]: Taking taylor expansion of 0 in y 8.070 * [backup-simplify]: Simplify 0 into 0 8.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.071 * [backup-simplify]: Simplify (+ 0 0) into 0 8.072 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 8.072 * [taylor]: Taking taylor expansion of 0 in y 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify 1 into 1 8.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.074 * [backup-simplify]: Simplify (+ 0 0) into 0 8.075 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 8.075 * [taylor]: Taking taylor expansion of 0 in y 8.075 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.077 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.077 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.078 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 8.078 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 8.078 * [taylor]: Taking taylor expansion of -1/2 in y 8.078 * [backup-simplify]: Simplify -1/2 into -1/2 8.078 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.078 * [taylor]: Taking taylor expansion of y in y 8.078 * [backup-simplify]: Simplify 0 into 0 8.078 * [backup-simplify]: Simplify 1 into 1 8.078 * [backup-simplify]: Simplify (* 1 1) into 1 8.079 * [backup-simplify]: Simplify (* 1 1) into 1 8.079 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 8.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.082 * [backup-simplify]: Simplify 0 into 0 8.082 * [backup-simplify]: Simplify 0 into 0 8.082 * [backup-simplify]: Simplify 0 into 0 8.082 * [backup-simplify]: Simplify 0 into 0 8.082 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) into (pow x 2) 8.083 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.083 * [backup-simplify]: Simplify (sqrt (- (pow x 4.0) (pow y 4.0))) into (sqrt (- (pow x 4) (pow y 4))) 8.083 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in (x y) around 0 8.083 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in y 8.083 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 8.083 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.083 * [taylor]: Taking taylor expansion of x in y 8.083 * [backup-simplify]: Simplify x into x 8.083 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.083 * [taylor]: Taking taylor expansion of y in y 8.083 * [backup-simplify]: Simplify 0 into 0 8.083 * [backup-simplify]: Simplify 1 into 1 8.083 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.083 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.083 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 8.083 * [backup-simplify]: Simplify (sqrt (pow x 4)) into (pow x 2) 8.084 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.084 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 8.084 * [backup-simplify]: Simplify (+ 0 0) into 0 8.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 4)))) into 0 8.084 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 8.084 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.084 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.084 * [taylor]: Taking taylor expansion of x in x 8.084 * [backup-simplify]: Simplify 0 into 0 8.084 * [backup-simplify]: Simplify 1 into 1 8.084 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.084 * [taylor]: Taking taylor expansion of y in x 8.084 * [backup-simplify]: Simplify y into y 8.084 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.084 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.084 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 8.085 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 8.085 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 8.085 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.085 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.085 * [backup-simplify]: Simplify (- 0) into 0 8.085 * [backup-simplify]: Simplify (+ 0 0) into 0 8.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 8.086 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 8.086 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.086 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.086 * [taylor]: Taking taylor expansion of x in x 8.086 * [backup-simplify]: Simplify 0 into 0 8.086 * [backup-simplify]: Simplify 1 into 1 8.086 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.086 * [taylor]: Taking taylor expansion of y in x 8.086 * [backup-simplify]: Simplify y into y 8.086 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.086 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.086 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 8.086 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 8.086 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 8.086 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.086 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.087 * [backup-simplify]: Simplify (- 0) into 0 8.087 * [backup-simplify]: Simplify (+ 0 0) into 0 8.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 8.087 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 8.087 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 8.087 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.087 * [taylor]: Taking taylor expansion of y in y 8.087 * [backup-simplify]: Simplify 0 into 0 8.087 * [backup-simplify]: Simplify 1 into 1 8.087 * [backup-simplify]: Simplify (* 1 1) into 1 8.088 * [backup-simplify]: Simplify (* 1 1) into 1 8.088 * [backup-simplify]: Simplify (- 1) into -1 8.088 * [backup-simplify]: Simplify (- 1) into -1 8.088 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.089 * [backup-simplify]: Simplify (- 0) into 0 8.090 * [backup-simplify]: Simplify (- 1) into -1 8.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.090 * [taylor]: Taking taylor expansion of 0 in y 8.090 * [backup-simplify]: Simplify 0 into 0 8.090 * [backup-simplify]: Simplify 0 into 0 8.090 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.091 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.091 * [backup-simplify]: Simplify (- 0) into 0 8.092 * [backup-simplify]: Simplify (+ 0 0) into 0 8.093 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (pow y 4))))) into 0 8.093 * [taylor]: Taking taylor expansion of 0 in y 8.093 * [backup-simplify]: Simplify 0 into 0 8.093 * [backup-simplify]: Simplify 0 into 0 8.093 * [backup-simplify]: Simplify 0 into 0 8.093 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.094 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.095 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.095 * [backup-simplify]: Simplify (- 0) into 0 8.096 * [backup-simplify]: Simplify (+ 0 0) into 0 8.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into 0 8.097 * [taylor]: Taking taylor expansion of 0 in y 8.097 * [backup-simplify]: Simplify 0 into 0 8.097 * [backup-simplify]: Simplify 0 into 0 8.097 * [backup-simplify]: Simplify 0 into 0 8.097 * [backup-simplify]: Simplify 0 into 0 8.097 * [backup-simplify]: Simplify 0 into 0 8.097 * [backup-simplify]: Simplify (* 1 1) into 1 8.098 * [backup-simplify]: Simplify (* 1 1) into 1 8.099 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.100 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 8.100 * [backup-simplify]: Simplify (- 0) into 0 8.101 * [backup-simplify]: Simplify (+ 1 0) into 1 8.102 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into (/ 1/2 (sqrt (- (pow y 4)))) 8.102 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow y 4)))) in y 8.102 * [taylor]: Taking taylor expansion of 1/2 in y 8.102 * [backup-simplify]: Simplify 1/2 into 1/2 8.102 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 8.102 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 8.102 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.102 * [taylor]: Taking taylor expansion of y in y 8.102 * [backup-simplify]: Simplify 0 into 0 8.102 * [backup-simplify]: Simplify 1 into 1 8.103 * [backup-simplify]: Simplify (* 1 1) into 1 8.103 * [backup-simplify]: Simplify (* 1 1) into 1 8.103 * [backup-simplify]: Simplify (- 1) into -1 8.104 * [backup-simplify]: Simplify (- 1) into -1 8.104 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.106 * [backup-simplify]: Simplify (- 0) into 0 8.106 * [backup-simplify]: Simplify (- 1) into -1 8.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.108 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 8.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.110 * [backup-simplify]: Simplify (- 0) into 0 8.112 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.113 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 8.115 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 8.115 * [backup-simplify]: Simplify 0 into 0 8.115 * [backup-simplify]: Simplify 0 into 0 8.115 * [backup-simplify]: Simplify (* (sqrt -1) (pow (* y 1) 2)) into (* (pow y 2) (sqrt -1)) 8.116 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 8.116 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 8.116 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 8.116 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.116 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.116 * [taylor]: Taking taylor expansion of x in y 8.116 * [backup-simplify]: Simplify x into x 8.116 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.116 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.117 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.117 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.117 * [taylor]: Taking taylor expansion of y in y 8.117 * [backup-simplify]: Simplify 0 into 0 8.117 * [backup-simplify]: Simplify 1 into 1 8.117 * [backup-simplify]: Simplify (* 1 1) into 1 8.118 * [backup-simplify]: Simplify (* 1 1) into 1 8.118 * [backup-simplify]: Simplify (/ 1 1) into 1 8.118 * [backup-simplify]: Simplify (- 1) into -1 8.119 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.119 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.121 * [backup-simplify]: Simplify (- 0) into 0 8.122 * [backup-simplify]: Simplify (+ 0 0) into 0 8.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.122 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.123 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.123 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.123 * [taylor]: Taking taylor expansion of x in x 8.123 * [backup-simplify]: Simplify 0 into 0 8.123 * [backup-simplify]: Simplify 1 into 1 8.123 * [backup-simplify]: Simplify (* 1 1) into 1 8.123 * [backup-simplify]: Simplify (* 1 1) into 1 8.123 * [backup-simplify]: Simplify (/ 1 1) into 1 8.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.123 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.123 * [taylor]: Taking taylor expansion of y in x 8.123 * [backup-simplify]: Simplify y into y 8.123 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.124 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.124 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.124 * [backup-simplify]: Simplify (+ 1 0) into 1 8.125 * [backup-simplify]: Simplify (sqrt 1) into 1 8.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.127 * [backup-simplify]: Simplify (+ 0 0) into 0 8.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.128 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.128 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.128 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.128 * [taylor]: Taking taylor expansion of x in x 8.128 * [backup-simplify]: Simplify 0 into 0 8.128 * [backup-simplify]: Simplify 1 into 1 8.128 * [backup-simplify]: Simplify (* 1 1) into 1 8.129 * [backup-simplify]: Simplify (* 1 1) into 1 8.129 * [backup-simplify]: Simplify (/ 1 1) into 1 8.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.129 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.129 * [taylor]: Taking taylor expansion of y in x 8.129 * [backup-simplify]: Simplify y into y 8.129 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.130 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.130 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.130 * [backup-simplify]: Simplify (+ 1 0) into 1 8.130 * [backup-simplify]: Simplify (sqrt 1) into 1 8.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.133 * [backup-simplify]: Simplify (+ 0 0) into 0 8.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.134 * [taylor]: Taking taylor expansion of 1 in y 8.134 * [backup-simplify]: Simplify 1 into 1 8.134 * [taylor]: Taking taylor expansion of 0 in y 8.134 * [backup-simplify]: Simplify 0 into 0 8.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.137 * [backup-simplify]: Simplify (+ 0 0) into 0 8.138 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 8.138 * [taylor]: Taking taylor expansion of 0 in y 8.138 * [backup-simplify]: Simplify 0 into 0 8.138 * [backup-simplify]: Simplify 1 into 1 8.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.146 * [backup-simplify]: Simplify (+ 0 0) into 0 8.147 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 8.147 * [taylor]: Taking taylor expansion of 0 in y 8.147 * [backup-simplify]: Simplify 0 into 0 8.147 * [backup-simplify]: Simplify 0 into 0 8.147 * [backup-simplify]: Simplify 0 into 0 8.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.151 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.151 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.153 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 8.153 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 8.153 * [taylor]: Taking taylor expansion of -1/2 in y 8.153 * [backup-simplify]: Simplify -1/2 into -1/2 8.153 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.153 * [taylor]: Taking taylor expansion of y in y 8.153 * [backup-simplify]: Simplify 0 into 0 8.153 * [backup-simplify]: Simplify 1 into 1 8.153 * [backup-simplify]: Simplify (* 1 1) into 1 8.154 * [backup-simplify]: Simplify (* 1 1) into 1 8.154 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 8.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.157 * [backup-simplify]: Simplify 0 into 0 8.157 * [backup-simplify]: Simplify 0 into 0 8.157 * [backup-simplify]: Simplify 0 into 0 8.157 * [backup-simplify]: Simplify 0 into 0 8.157 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) into (pow x 2) 8.158 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 8.158 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 8.158 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 8.158 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.158 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.158 * [taylor]: Taking taylor expansion of x in y 8.158 * [backup-simplify]: Simplify x into x 8.158 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.158 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.158 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.158 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.158 * [taylor]: Taking taylor expansion of y in y 8.158 * [backup-simplify]: Simplify 0 into 0 8.158 * [backup-simplify]: Simplify 1 into 1 8.159 * [backup-simplify]: Simplify (* 1 1) into 1 8.159 * [backup-simplify]: Simplify (* 1 1) into 1 8.159 * [backup-simplify]: Simplify (/ 1 1) into 1 8.159 * [backup-simplify]: Simplify (- 1) into -1 8.160 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.160 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.161 * [backup-simplify]: Simplify (- 0) into 0 8.162 * [backup-simplify]: Simplify (+ 0 0) into 0 8.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.162 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.162 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.162 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.162 * [taylor]: Taking taylor expansion of x in x 8.162 * [backup-simplify]: Simplify 0 into 0 8.162 * [backup-simplify]: Simplify 1 into 1 8.163 * [backup-simplify]: Simplify (* 1 1) into 1 8.163 * [backup-simplify]: Simplify (* 1 1) into 1 8.163 * [backup-simplify]: Simplify (/ 1 1) into 1 8.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.163 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.163 * [taylor]: Taking taylor expansion of y in x 8.163 * [backup-simplify]: Simplify y into y 8.163 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.163 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.164 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.164 * [backup-simplify]: Simplify (+ 1 0) into 1 8.164 * [backup-simplify]: Simplify (sqrt 1) into 1 8.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.166 * [backup-simplify]: Simplify (+ 0 0) into 0 8.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.166 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.166 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.166 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.166 * [taylor]: Taking taylor expansion of x in x 8.166 * [backup-simplify]: Simplify 0 into 0 8.166 * [backup-simplify]: Simplify 1 into 1 8.166 * [backup-simplify]: Simplify (* 1 1) into 1 8.167 * [backup-simplify]: Simplify (* 1 1) into 1 8.167 * [backup-simplify]: Simplify (/ 1 1) into 1 8.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.167 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.167 * [taylor]: Taking taylor expansion of y in x 8.167 * [backup-simplify]: Simplify y into y 8.167 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.167 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.167 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.168 * [backup-simplify]: Simplify (+ 1 0) into 1 8.168 * [backup-simplify]: Simplify (sqrt 1) into 1 8.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.169 * [backup-simplify]: Simplify (+ 0 0) into 0 8.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.170 * [taylor]: Taking taylor expansion of 1 in y 8.170 * [backup-simplify]: Simplify 1 into 1 8.170 * [taylor]: Taking taylor expansion of 0 in y 8.170 * [backup-simplify]: Simplify 0 into 0 8.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.171 * [backup-simplify]: Simplify (+ 0 0) into 0 8.172 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 8.172 * [taylor]: Taking taylor expansion of 0 in y 8.172 * [backup-simplify]: Simplify 0 into 0 8.172 * [backup-simplify]: Simplify 1 into 1 8.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.174 * [backup-simplify]: Simplify (+ 0 0) into 0 8.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 8.175 * [taylor]: Taking taylor expansion of 0 in y 8.175 * [backup-simplify]: Simplify 0 into 0 8.175 * [backup-simplify]: Simplify 0 into 0 8.175 * [backup-simplify]: Simplify 0 into 0 8.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.177 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.177 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.178 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 8.178 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 8.178 * [taylor]: Taking taylor expansion of -1/2 in y 8.178 * [backup-simplify]: Simplify -1/2 into -1/2 8.178 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.178 * [taylor]: Taking taylor expansion of y in y 8.178 * [backup-simplify]: Simplify 0 into 0 8.178 * [backup-simplify]: Simplify 1 into 1 8.178 * [backup-simplify]: Simplify (* 1 1) into 1 8.178 * [backup-simplify]: Simplify (* 1 1) into 1 8.179 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 8.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.181 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) into (pow x 2) 8.182 * * * * [progress]: [ 3 / 4 ] generating series at (2) 8.182 * [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)) 8.182 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (x y) around 0 8.182 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 8.182 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.182 * [taylor]: Taking taylor expansion of x in y 8.182 * [backup-simplify]: Simplify x into x 8.182 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.182 * [taylor]: Taking taylor expansion of y in y 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify 1 into 1 8.182 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.182 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.182 * [taylor]: Taking taylor expansion of x in x 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify 1 into 1 8.182 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.182 * [taylor]: Taking taylor expansion of y in x 8.182 * [backup-simplify]: Simplify y into y 8.183 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.183 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.183 * [taylor]: Taking taylor expansion of x in x 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 1 into 1 8.183 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.183 * [taylor]: Taking taylor expansion of y in x 8.183 * [backup-simplify]: Simplify y into y 8.183 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.183 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.183 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 8.183 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 8.183 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 8.183 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.183 * [taylor]: Taking taylor expansion of y in y 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 1 into 1 8.183 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.183 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.184 * [backup-simplify]: Simplify (- 0) into 0 8.184 * [backup-simplify]: Simplify (+ 0 0) into 0 8.184 * [taylor]: Taking taylor expansion of 0 in y 8.184 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.185 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.185 * [backup-simplify]: Simplify (- 0) into 0 8.185 * [backup-simplify]: Simplify (+ 0 0) into 0 8.185 * [taylor]: Taking taylor expansion of 0 in y 8.185 * [backup-simplify]: Simplify 0 into 0 8.185 * [backup-simplify]: Simplify 0 into 0 8.185 * [backup-simplify]: Simplify 0 into 0 8.186 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.186 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.186 * [backup-simplify]: Simplify (- 0) into 0 8.187 * [backup-simplify]: Simplify (+ 0 0) into 0 8.187 * [taylor]: Taking taylor expansion of 0 in y 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [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))) 8.187 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 8.187 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.187 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.187 * [taylor]: Taking taylor expansion of x in y 8.187 * [backup-simplify]: Simplify x into x 8.187 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.188 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.188 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.188 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.188 * [taylor]: Taking taylor expansion of y in y 8.188 * [backup-simplify]: Simplify 0 into 0 8.188 * [backup-simplify]: Simplify 1 into 1 8.188 * [backup-simplify]: Simplify (* 1 1) into 1 8.188 * [backup-simplify]: Simplify (* 1 1) into 1 8.189 * [backup-simplify]: Simplify (/ 1 1) into 1 8.189 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.189 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.189 * [taylor]: Taking taylor expansion of x in x 8.189 * [backup-simplify]: Simplify 0 into 0 8.189 * [backup-simplify]: Simplify 1 into 1 8.189 * [backup-simplify]: Simplify (* 1 1) into 1 8.189 * [backup-simplify]: Simplify (* 1 1) into 1 8.189 * [backup-simplify]: Simplify (/ 1 1) into 1 8.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.189 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.189 * [taylor]: Taking taylor expansion of y in x 8.189 * [backup-simplify]: Simplify y into y 8.189 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.190 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.190 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.190 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.190 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.190 * [taylor]: Taking taylor expansion of x in x 8.190 * [backup-simplify]: Simplify 0 into 0 8.190 * [backup-simplify]: Simplify 1 into 1 8.190 * [backup-simplify]: Simplify (* 1 1) into 1 8.190 * [backup-simplify]: Simplify (* 1 1) into 1 8.191 * [backup-simplify]: Simplify (/ 1 1) into 1 8.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.191 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.191 * [taylor]: Taking taylor expansion of y in x 8.191 * [backup-simplify]: Simplify y into y 8.191 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.191 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.191 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.192 * [backup-simplify]: Simplify (+ 1 0) into 1 8.192 * [taylor]: Taking taylor expansion of 1 in y 8.192 * [backup-simplify]: Simplify 1 into 1 8.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.194 * [backup-simplify]: Simplify (+ 0 0) into 0 8.194 * [taylor]: Taking taylor expansion of 0 in y 8.194 * [backup-simplify]: Simplify 0 into 0 8.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.196 * [backup-simplify]: Simplify (+ 0 0) into 0 8.196 * [taylor]: Taking taylor expansion of 0 in y 8.196 * [backup-simplify]: Simplify 0 into 0 8.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.198 * [backup-simplify]: Simplify (+ 0 0) into 0 8.198 * [taylor]: Taking taylor expansion of 0 in y 8.198 * [backup-simplify]: Simplify 0 into 0 8.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.200 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.200 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.200 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 8.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.200 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.200 * [taylor]: Taking taylor expansion of y in y 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify 1 into 1 8.200 * [backup-simplify]: Simplify (* 1 1) into 1 8.201 * [backup-simplify]: Simplify (* 1 1) into 1 8.201 * [backup-simplify]: Simplify (/ 1 1) into 1 8.201 * [backup-simplify]: Simplify (- 1) into -1 8.201 * [backup-simplify]: Simplify -1 into -1 8.201 * [backup-simplify]: Simplify 1 into 1 8.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.203 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.204 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 8.204 * [backup-simplify]: Simplify (- 0) into 0 8.204 * [backup-simplify]: Simplify (+ 0 0) into 0 8.204 * [taylor]: Taking taylor expansion of 0 in y 8.204 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.206 * [backup-simplify]: Simplify (- 0) into 0 8.206 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.208 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.209 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 8.209 * [backup-simplify]: Simplify (- 0) into 0 8.209 * [backup-simplify]: Simplify (+ 0 0) into 0 8.209 * [taylor]: Taking taylor expansion of 0 in y 8.209 * [backup-simplify]: Simplify 0 into 0 8.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.211 * [backup-simplify]: Simplify (- 0) into 0 8.211 * [backup-simplify]: Simplify 0 into 0 8.211 * [backup-simplify]: Simplify 0 into 0 8.211 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 4))) into (- (pow x 4) (pow y 4)) 8.212 * [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))) 8.212 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 8.212 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.212 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.212 * [taylor]: Taking taylor expansion of x in y 8.212 * [backup-simplify]: Simplify x into x 8.212 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.212 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.212 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.212 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.213 * [taylor]: Taking taylor expansion of y in y 8.213 * [backup-simplify]: Simplify 0 into 0 8.213 * [backup-simplify]: Simplify 1 into 1 8.213 * [backup-simplify]: Simplify (* 1 1) into 1 8.213 * [backup-simplify]: Simplify (* 1 1) into 1 8.213 * [backup-simplify]: Simplify (/ 1 1) into 1 8.213 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.213 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.213 * [taylor]: Taking taylor expansion of x in x 8.213 * [backup-simplify]: Simplify 0 into 0 8.213 * [backup-simplify]: Simplify 1 into 1 8.214 * [backup-simplify]: Simplify (* 1 1) into 1 8.214 * [backup-simplify]: Simplify (* 1 1) into 1 8.214 * [backup-simplify]: Simplify (/ 1 1) into 1 8.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.214 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.214 * [taylor]: Taking taylor expansion of y in x 8.214 * [backup-simplify]: Simplify y into y 8.214 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.214 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.215 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.215 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.215 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.215 * [taylor]: Taking taylor expansion of x in x 8.215 * [backup-simplify]: Simplify 0 into 0 8.215 * [backup-simplify]: Simplify 1 into 1 8.215 * [backup-simplify]: Simplify (* 1 1) into 1 8.215 * [backup-simplify]: Simplify (* 1 1) into 1 8.215 * [backup-simplify]: Simplify (/ 1 1) into 1 8.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.215 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.215 * [taylor]: Taking taylor expansion of y in x 8.216 * [backup-simplify]: Simplify y into y 8.216 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.216 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.216 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.216 * [backup-simplify]: Simplify (+ 1 0) into 1 8.216 * [taylor]: Taking taylor expansion of 1 in y 8.216 * [backup-simplify]: Simplify 1 into 1 8.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.218 * [backup-simplify]: Simplify (+ 0 0) into 0 8.218 * [taylor]: Taking taylor expansion of 0 in y 8.218 * [backup-simplify]: Simplify 0 into 0 8.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.219 * [backup-simplify]: Simplify (+ 0 0) into 0 8.219 * [taylor]: Taking taylor expansion of 0 in y 8.219 * [backup-simplify]: Simplify 0 into 0 8.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.221 * [backup-simplify]: Simplify (+ 0 0) into 0 8.221 * [taylor]: Taking taylor expansion of 0 in y 8.221 * [backup-simplify]: Simplify 0 into 0 8.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.223 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.223 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.223 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 8.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.224 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.224 * [taylor]: Taking taylor expansion of y in y 8.224 * [backup-simplify]: Simplify 0 into 0 8.224 * [backup-simplify]: Simplify 1 into 1 8.224 * [backup-simplify]: Simplify (* 1 1) into 1 8.224 * [backup-simplify]: Simplify (* 1 1) into 1 8.224 * [backup-simplify]: Simplify (/ 1 1) into 1 8.225 * [backup-simplify]: Simplify (- 1) into -1 8.225 * [backup-simplify]: Simplify -1 into -1 8.225 * [backup-simplify]: Simplify 1 into 1 8.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.227 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.227 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 8.227 * [backup-simplify]: Simplify (- 0) into 0 8.228 * [backup-simplify]: Simplify (+ 0 0) into 0 8.228 * [taylor]: Taking taylor expansion of 0 in y 8.228 * [backup-simplify]: Simplify 0 into 0 8.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.229 * [backup-simplify]: Simplify (- 0) into 0 8.229 * [backup-simplify]: Simplify 0 into 0 8.229 * [backup-simplify]: Simplify 0 into 0 8.229 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.232 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.232 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 8.233 * [backup-simplify]: Simplify (- 0) into 0 8.233 * [backup-simplify]: Simplify (+ 0 0) into 0 8.233 * [taylor]: Taking taylor expansion of 0 in y 8.233 * [backup-simplify]: Simplify 0 into 0 8.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.235 * [backup-simplify]: Simplify (- 0) into 0 8.235 * [backup-simplify]: Simplify 0 into 0 8.235 * [backup-simplify]: Simplify 0 into 0 8.235 * [backup-simplify]: Simplify 0 into 0 8.235 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 4))) into (- (pow x 4) (pow y 4)) 8.235 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.236 * [backup-simplify]: Simplify (- (pow x 4.0) (pow y 4.0)) into (- (pow x 4) (pow y 4)) 8.236 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (x y) around 0 8.236 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 8.236 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.236 * [taylor]: Taking taylor expansion of x in y 8.236 * [backup-simplify]: Simplify x into x 8.236 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.236 * [taylor]: Taking taylor expansion of y in y 8.236 * [backup-simplify]: Simplify 0 into 0 8.236 * [backup-simplify]: Simplify 1 into 1 8.236 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.236 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.236 * [taylor]: Taking taylor expansion of x in x 8.236 * [backup-simplify]: Simplify 0 into 0 8.236 * [backup-simplify]: Simplify 1 into 1 8.236 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.236 * [taylor]: Taking taylor expansion of y in x 8.236 * [backup-simplify]: Simplify y into y 8.236 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.236 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.236 * [taylor]: Taking taylor expansion of x in x 8.236 * [backup-simplify]: Simplify 0 into 0 8.236 * [backup-simplify]: Simplify 1 into 1 8.236 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.236 * [taylor]: Taking taylor expansion of y in x 8.236 * [backup-simplify]: Simplify y into y 8.236 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.236 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.236 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 8.236 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 8.236 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 8.236 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.236 * [taylor]: Taking taylor expansion of y in y 8.236 * [backup-simplify]: Simplify 0 into 0 8.236 * [backup-simplify]: Simplify 1 into 1 8.237 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.237 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.237 * [backup-simplify]: Simplify (- 0) into 0 8.237 * [backup-simplify]: Simplify (+ 0 0) into 0 8.237 * [taylor]: Taking taylor expansion of 0 in y 8.237 * [backup-simplify]: Simplify 0 into 0 8.237 * [backup-simplify]: Simplify 0 into 0 8.237 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.238 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.238 * [backup-simplify]: Simplify (- 0) into 0 8.242 * [backup-simplify]: Simplify (+ 0 0) into 0 8.242 * [taylor]: Taking taylor expansion of 0 in y 8.242 * [backup-simplify]: Simplify 0 into 0 8.243 * [backup-simplify]: Simplify 0 into 0 8.243 * [backup-simplify]: Simplify 0 into 0 8.244 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.245 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.246 * [backup-simplify]: Simplify (- 0) into 0 8.246 * [backup-simplify]: Simplify (+ 0 0) into 0 8.246 * [taylor]: Taking taylor expansion of 0 in y 8.246 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify 0 into 0 8.247 * [backup-simplify]: Simplify (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 8.247 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 8.247 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.247 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.247 * [taylor]: Taking taylor expansion of x in y 8.247 * [backup-simplify]: Simplify x into x 8.247 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.247 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.247 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.247 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.247 * [taylor]: Taking taylor expansion of y in y 8.248 * [backup-simplify]: Simplify 0 into 0 8.248 * [backup-simplify]: Simplify 1 into 1 8.248 * [backup-simplify]: Simplify (* 1 1) into 1 8.248 * [backup-simplify]: Simplify (* 1 1) into 1 8.249 * [backup-simplify]: Simplify (/ 1 1) into 1 8.249 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.249 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.249 * [taylor]: Taking taylor expansion of x in x 8.249 * [backup-simplify]: Simplify 0 into 0 8.249 * [backup-simplify]: Simplify 1 into 1 8.249 * [backup-simplify]: Simplify (* 1 1) into 1 8.250 * [backup-simplify]: Simplify (* 1 1) into 1 8.250 * [backup-simplify]: Simplify (/ 1 1) into 1 8.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.250 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.250 * [taylor]: Taking taylor expansion of y in x 8.250 * [backup-simplify]: Simplify y into y 8.250 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.250 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.251 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.251 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.251 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.251 * [taylor]: Taking taylor expansion of x in x 8.251 * [backup-simplify]: Simplify 0 into 0 8.251 * [backup-simplify]: Simplify 1 into 1 8.251 * [backup-simplify]: Simplify (* 1 1) into 1 8.251 * [backup-simplify]: Simplify (* 1 1) into 1 8.252 * [backup-simplify]: Simplify (/ 1 1) into 1 8.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.252 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.252 * [taylor]: Taking taylor expansion of y in x 8.252 * [backup-simplify]: Simplify y into y 8.252 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.252 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.252 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.253 * [backup-simplify]: Simplify (+ 1 0) into 1 8.253 * [taylor]: Taking taylor expansion of 1 in y 8.253 * [backup-simplify]: Simplify 1 into 1 8.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.255 * [backup-simplify]: Simplify (+ 0 0) into 0 8.255 * [taylor]: Taking taylor expansion of 0 in y 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.259 * [backup-simplify]: Simplify (+ 0 0) into 0 8.259 * [taylor]: Taking taylor expansion of 0 in y 8.259 * [backup-simplify]: Simplify 0 into 0 8.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.262 * [backup-simplify]: Simplify (+ 0 0) into 0 8.262 * [taylor]: Taking taylor expansion of 0 in y 8.262 * [backup-simplify]: Simplify 0 into 0 8.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.266 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.267 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.267 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 8.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.267 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.267 * [taylor]: Taking taylor expansion of y in y 8.267 * [backup-simplify]: Simplify 0 into 0 8.267 * [backup-simplify]: Simplify 1 into 1 8.267 * [backup-simplify]: Simplify (* 1 1) into 1 8.267 * [backup-simplify]: Simplify (* 1 1) into 1 8.268 * [backup-simplify]: Simplify (/ 1 1) into 1 8.268 * [backup-simplify]: Simplify (- 1) into -1 8.268 * [backup-simplify]: Simplify -1 into -1 8.268 * [backup-simplify]: Simplify 1 into 1 8.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.272 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.272 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 8.273 * [backup-simplify]: Simplify (- 0) into 0 8.274 * [backup-simplify]: Simplify (+ 0 0) into 0 8.274 * [taylor]: Taking taylor expansion of 0 in y 8.274 * [backup-simplify]: Simplify 0 into 0 8.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.276 * [backup-simplify]: Simplify (- 0) into 0 8.276 * [backup-simplify]: Simplify 0 into 0 8.276 * [backup-simplify]: Simplify 0 into 0 8.276 * [backup-simplify]: Simplify 0 into 0 8.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.281 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.282 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 8.282 * [backup-simplify]: Simplify (- 0) into 0 8.283 * [backup-simplify]: Simplify (+ 0 0) into 0 8.283 * [taylor]: Taking taylor expansion of 0 in y 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.285 * [backup-simplify]: Simplify (- 0) into 0 8.285 * [backup-simplify]: Simplify 0 into 0 8.285 * [backup-simplify]: Simplify 0 into 0 8.285 * [backup-simplify]: Simplify 0 into 0 8.285 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 4))) into (- (pow x 4) (pow y 4)) 8.285 * [backup-simplify]: Simplify (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 8.285 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 8.285 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.285 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.285 * [taylor]: Taking taylor expansion of x in y 8.285 * [backup-simplify]: Simplify x into x 8.285 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.286 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.286 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.286 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.286 * [taylor]: Taking taylor expansion of y in y 8.286 * [backup-simplify]: Simplify 0 into 0 8.286 * [backup-simplify]: Simplify 1 into 1 8.286 * [backup-simplify]: Simplify (* 1 1) into 1 8.286 * [backup-simplify]: Simplify (* 1 1) into 1 8.286 * [backup-simplify]: Simplify (/ 1 1) into 1 8.287 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.287 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.287 * [taylor]: Taking taylor expansion of x in x 8.287 * [backup-simplify]: Simplify 0 into 0 8.287 * [backup-simplify]: Simplify 1 into 1 8.287 * [backup-simplify]: Simplify (* 1 1) into 1 8.287 * [backup-simplify]: Simplify (* 1 1) into 1 8.287 * [backup-simplify]: Simplify (/ 1 1) into 1 8.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.287 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.287 * [taylor]: Taking taylor expansion of y in x 8.287 * [backup-simplify]: Simplify y into y 8.287 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.288 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.288 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.288 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.288 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.288 * [taylor]: Taking taylor expansion of x in x 8.288 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify 1 into 1 8.288 * [backup-simplify]: Simplify (* 1 1) into 1 8.288 * [backup-simplify]: Simplify (* 1 1) into 1 8.288 * [backup-simplify]: Simplify (/ 1 1) into 1 8.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.288 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.288 * [taylor]: Taking taylor expansion of y in x 8.289 * [backup-simplify]: Simplify y into y 8.289 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.289 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.289 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.289 * [backup-simplify]: Simplify (+ 1 0) into 1 8.289 * [taylor]: Taking taylor expansion of 1 in y 8.289 * [backup-simplify]: Simplify 1 into 1 8.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.291 * [backup-simplify]: Simplify (+ 0 0) into 0 8.291 * [taylor]: Taking taylor expansion of 0 in y 8.291 * [backup-simplify]: Simplify 0 into 0 8.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.292 * [backup-simplify]: Simplify (+ 0 0) into 0 8.292 * [taylor]: Taking taylor expansion of 0 in y 8.292 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.294 * [backup-simplify]: Simplify (+ 0 0) into 0 8.294 * [taylor]: Taking taylor expansion of 0 in y 8.294 * [backup-simplify]: Simplify 0 into 0 8.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.296 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.296 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.296 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 8.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.297 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.297 * [taylor]: Taking taylor expansion of y in y 8.297 * [backup-simplify]: Simplify 0 into 0 8.297 * [backup-simplify]: Simplify 1 into 1 8.297 * [backup-simplify]: Simplify (* 1 1) into 1 8.297 * [backup-simplify]: Simplify (* 1 1) into 1 8.297 * [backup-simplify]: Simplify (/ 1 1) into 1 8.298 * [backup-simplify]: Simplify (- 1) into -1 8.298 * [backup-simplify]: Simplify -1 into -1 8.298 * [backup-simplify]: Simplify 1 into 1 8.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.300 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.300 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 8.300 * [backup-simplify]: Simplify (- 0) into 0 8.301 * [backup-simplify]: Simplify (+ 0 0) into 0 8.301 * [taylor]: Taking taylor expansion of 0 in y 8.301 * [backup-simplify]: Simplify 0 into 0 8.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.302 * [backup-simplify]: Simplify (- 0) into 0 8.302 * [backup-simplify]: Simplify 0 into 0 8.302 * [backup-simplify]: Simplify 0 into 0 8.302 * [backup-simplify]: Simplify 0 into 0 8.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.305 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.305 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 8.305 * [backup-simplify]: Simplify (- 0) into 0 8.306 * [backup-simplify]: Simplify (+ 0 0) into 0 8.306 * [taylor]: Taking taylor expansion of 0 in y 8.306 * [backup-simplify]: Simplify 0 into 0 8.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.308 * [backup-simplify]: Simplify (- 0) into 0 8.308 * [backup-simplify]: Simplify 0 into 0 8.308 * [backup-simplify]: Simplify 0 into 0 8.308 * [backup-simplify]: Simplify 0 into 0 8.308 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 4))) into (- (pow x 4) (pow y 4)) 8.308 * * * [progress]: simplifying candidates 8.312 * [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)))) 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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)) 8.321 * * [simplify]: Extracting # 0 : cost 0 8.321 * * [simplify]: Extracting # 1 : cost 0 8.322 * * [simplify]: Extracting # 2 : cost 0 8.322 * * [simplify]: Extracting # 3 : cost 0 8.322 * * [simplify]: Extracting # 4 : cost 0 8.323 * * [simplify]: Extracting # 5 : cost 0 8.323 * * [simplify]: Extracting # 6 : cost 0 8.324 * * [simplify]: Extracting # 7 : cost 0 8.324 * * [simplify]: iteration 0 : 184 enodes (cost 3514 ) 8.397 * * [simplify]: Extracting # 0 : cost 0 8.397 * * [simplify]: Extracting # 1 : cost 0 8.398 * * [simplify]: Extracting # 2 : cost 0 8.398 * * [simplify]: Extracting # 3 : cost 0 8.398 * * [simplify]: Extracting # 4 : cost 0 8.399 * * [simplify]: Extracting # 5 : cost 0 8.399 * * [simplify]: iteration 1 : 306 enodes (cost 2563 ) 8.558 * * [simplify]: Extracting # 0 : cost 0 8.558 * * [simplify]: Extracting # 1 : cost 0 8.559 * * [simplify]: Extracting # 2 : cost 0 8.560 * * [simplify]: Extracting # 3 : cost 0 8.561 * * [simplify]: Extracting # 4 : cost 0 8.562 * * [simplify]: iteration 2 : 851 enodes (cost 2463 ) 9.237 * * [simplify]: Extracting # 0 : cost 0 9.242 * * [simplify]: Extracting # 1 : cost 0 9.247 * * [simplify]: Extracting # 2 : cost 0 9.252 * * [simplify]: Extracting # 3 : cost 0 9.257 * * [simplify]: Extracting # 4 : cost 0 9.262 * * [simplify]: iteration 3 : 2190 enodes (cost 2424 ) 10.374 * * [simplify]: Extracting # 0 : cost 0 10.380 * * [simplify]: Extracting # 1 : cost 0 10.386 * * [simplify]: Extracting # 2 : cost 0 10.392 * * [simplify]: Extracting # 3 : cost 0 10.403 * * [simplify]: Extracting # 4 : cost 0 10.414 * * [simplify]: iteration done: 5000 enodes (cost 2398 ) 10.417 * [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 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)) 10.419 * * * [progress]: adding candidates to table 11.131 * * [progress]: iteration 3 / 4 11.131 * * * [progress]: picking best candidate 11.136 * * * * [pick]: Picked # 11.137 * * * [progress]: localizing error 11.155 * * * [progress]: generating rewritten candidates 11.155 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 11.183 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 11.231 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 11.284 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 11.327 * * * [progress]: generating series expansions 11.327 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 11.328 * [backup-simplify]: Simplify (sqrt (- (pow x 4.0) (pow y 4.0))) into (sqrt (- (pow x 4) (pow y 4))) 11.328 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in (x y) around 0 11.328 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in y 11.328 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 11.328 * [taylor]: Taking taylor expansion of (pow x 4) in y 11.328 * [taylor]: Taking taylor expansion of x in y 11.328 * [backup-simplify]: Simplify x into x 11.328 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.328 * [taylor]: Taking taylor expansion of y in y 11.328 * [backup-simplify]: Simplify 0 into 0 11.328 * [backup-simplify]: Simplify 1 into 1 11.328 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.328 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 11.328 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 11.328 * [backup-simplify]: Simplify (sqrt (pow x 4)) into (pow x 2) 11.328 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 11.328 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 11.329 * [backup-simplify]: Simplify (+ 0 0) into 0 11.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 4)))) into 0 11.329 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 11.329 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 11.329 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.329 * [taylor]: Taking taylor expansion of x in x 11.329 * [backup-simplify]: Simplify 0 into 0 11.329 * [backup-simplify]: Simplify 1 into 1 11.329 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.329 * [taylor]: Taking taylor expansion of y in x 11.329 * [backup-simplify]: Simplify y into y 11.329 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.329 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.329 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 11.329 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 11.329 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 11.330 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 11.330 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 11.330 * [backup-simplify]: Simplify (- 0) into 0 11.330 * [backup-simplify]: Simplify (+ 0 0) into 0 11.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 11.330 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 11.330 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 11.330 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.330 * [taylor]: Taking taylor expansion of x in x 11.330 * [backup-simplify]: Simplify 0 into 0 11.330 * [backup-simplify]: Simplify 1 into 1 11.330 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.331 * [taylor]: Taking taylor expansion of y in x 11.331 * [backup-simplify]: Simplify y into y 11.331 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.331 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.331 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 11.331 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 11.331 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 11.331 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 11.331 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 11.331 * [backup-simplify]: Simplify (- 0) into 0 11.332 * [backup-simplify]: Simplify (+ 0 0) into 0 11.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 11.332 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 11.332 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 11.332 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.332 * [taylor]: Taking taylor expansion of y in y 11.332 * [backup-simplify]: Simplify 0 into 0 11.332 * [backup-simplify]: Simplify 1 into 1 11.332 * [backup-simplify]: Simplify (* 1 1) into 1 11.332 * [backup-simplify]: Simplify (* 1 1) into 1 11.333 * [backup-simplify]: Simplify (- 1) into -1 11.333 * [backup-simplify]: Simplify (- 1) into -1 11.333 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 11.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.334 * [backup-simplify]: Simplify (- 0) into 0 11.334 * [backup-simplify]: Simplify (- 1) into -1 11.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 11.335 * [taylor]: Taking taylor expansion of 0 in y 11.335 * [backup-simplify]: Simplify 0 into 0 11.335 * [backup-simplify]: Simplify 0 into 0 11.336 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 11.337 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 11.337 * [backup-simplify]: Simplify (- 0) into 0 11.337 * [backup-simplify]: Simplify (+ 0 0) into 0 11.338 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (pow y 4))))) into 0 11.338 * [taylor]: Taking taylor expansion of 0 in y 11.338 * [backup-simplify]: Simplify 0 into 0 11.338 * [backup-simplify]: Simplify 0 into 0 11.338 * [backup-simplify]: Simplify 0 into 0 11.339 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 11.340 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 11.341 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 11.341 * [backup-simplify]: Simplify (- 0) into 0 11.341 * [backup-simplify]: Simplify (+ 0 0) into 0 11.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into 0 11.342 * [taylor]: Taking taylor expansion of 0 in y 11.343 * [backup-simplify]: Simplify 0 into 0 11.343 * [backup-simplify]: Simplify 0 into 0 11.343 * [backup-simplify]: Simplify 0 into 0 11.343 * [backup-simplify]: Simplify 0 into 0 11.343 * [backup-simplify]: Simplify 0 into 0 11.343 * [backup-simplify]: Simplify (* 1 1) into 1 11.343 * [backup-simplify]: Simplify (* 1 1) into 1 11.345 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 11.346 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 11.346 * [backup-simplify]: Simplify (- 0) into 0 11.347 * [backup-simplify]: Simplify (+ 1 0) into 1 11.348 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into (/ 1/2 (sqrt (- (pow y 4)))) 11.348 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow y 4)))) in y 11.348 * [taylor]: Taking taylor expansion of 1/2 in y 11.348 * [backup-simplify]: Simplify 1/2 into 1/2 11.348 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 11.348 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 11.348 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.348 * [taylor]: Taking taylor expansion of y in y 11.348 * [backup-simplify]: Simplify 0 into 0 11.348 * [backup-simplify]: Simplify 1 into 1 11.349 * [backup-simplify]: Simplify (* 1 1) into 1 11.349 * [backup-simplify]: Simplify (* 1 1) into 1 11.350 * [backup-simplify]: Simplify (- 1) into -1 11.350 * [backup-simplify]: Simplify (- 1) into -1 11.350 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 11.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.352 * [backup-simplify]: Simplify (- 0) into 0 11.352 * [backup-simplify]: Simplify (- 1) into -1 11.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 11.355 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 11.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.357 * [backup-simplify]: Simplify (- 0) into 0 11.358 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 11.364 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 11.366 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 11.366 * [backup-simplify]: Simplify 0 into 0 11.366 * [backup-simplify]: Simplify 0 into 0 11.366 * [backup-simplify]: Simplify (* (sqrt -1) (pow (* y 1) 2)) into (* (pow y 2) (sqrt -1)) 11.367 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 11.367 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 11.367 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 11.367 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 11.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 11.367 * [taylor]: Taking taylor expansion of (pow x 4) in y 11.367 * [taylor]: Taking taylor expansion of x in y 11.367 * [backup-simplify]: Simplify x into x 11.367 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.367 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 11.367 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 11.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 11.367 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.367 * [taylor]: Taking taylor expansion of y in y 11.367 * [backup-simplify]: Simplify 0 into 0 11.367 * [backup-simplify]: Simplify 1 into 1 11.367 * [backup-simplify]: Simplify (* 1 1) into 1 11.368 * [backup-simplify]: Simplify (* 1 1) into 1 11.368 * [backup-simplify]: Simplify (/ 1 1) into 1 11.368 * [backup-simplify]: Simplify (- 1) into -1 11.368 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.369 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 11.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.370 * [backup-simplify]: Simplify (- 0) into 0 11.370 * [backup-simplify]: Simplify (+ 0 0) into 0 11.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 11.371 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 11.371 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 11.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 11.371 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.371 * [taylor]: Taking taylor expansion of x in x 11.371 * [backup-simplify]: Simplify 0 into 0 11.371 * [backup-simplify]: Simplify 1 into 1 11.371 * [backup-simplify]: Simplify (* 1 1) into 1 11.371 * [backup-simplify]: Simplify (* 1 1) into 1 11.372 * [backup-simplify]: Simplify (/ 1 1) into 1 11.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 11.372 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.372 * [taylor]: Taking taylor expansion of y in x 11.372 * [backup-simplify]: Simplify y into y 11.372 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.372 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.372 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 11.372 * [backup-simplify]: Simplify (+ 1 0) into 1 11.373 * [backup-simplify]: Simplify (sqrt 1) into 1 11.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.374 * [backup-simplify]: Simplify (+ 0 0) into 0 11.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.375 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 11.375 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 11.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 11.375 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.375 * [taylor]: Taking taylor expansion of x in x 11.375 * [backup-simplify]: Simplify 0 into 0 11.375 * [backup-simplify]: Simplify 1 into 1 11.375 * [backup-simplify]: Simplify (* 1 1) into 1 11.375 * [backup-simplify]: Simplify (* 1 1) into 1 11.375 * [backup-simplify]: Simplify (/ 1 1) into 1 11.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 11.375 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.375 * [taylor]: Taking taylor expansion of y in x 11.375 * [backup-simplify]: Simplify y into y 11.375 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.376 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.376 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 11.376 * [backup-simplify]: Simplify (+ 1 0) into 1 11.376 * [backup-simplify]: Simplify (sqrt 1) into 1 11.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.378 * [backup-simplify]: Simplify (+ 0 0) into 0 11.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.378 * [taylor]: Taking taylor expansion of 1 in y 11.378 * [backup-simplify]: Simplify 1 into 1 11.378 * [taylor]: Taking taylor expansion of 0 in y 11.378 * [backup-simplify]: Simplify 0 into 0 11.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.380 * [backup-simplify]: Simplify (+ 0 0) into 0 11.381 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 11.381 * [taylor]: Taking taylor expansion of 0 in y 11.381 * [backup-simplify]: Simplify 0 into 0 11.381 * [backup-simplify]: Simplify 1 into 1 11.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.383 * [backup-simplify]: Simplify (+ 0 0) into 0 11.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 11.383 * [taylor]: Taking taylor expansion of 0 in y 11.383 * [backup-simplify]: Simplify 0 into 0 11.383 * [backup-simplify]: Simplify 0 into 0 11.383 * [backup-simplify]: Simplify 0 into 0 11.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.386 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 11.386 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 11.387 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 11.387 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 11.387 * [taylor]: Taking taylor expansion of -1/2 in y 11.387 * [backup-simplify]: Simplify -1/2 into -1/2 11.387 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.387 * [taylor]: Taking taylor expansion of y in y 11.387 * [backup-simplify]: Simplify 0 into 0 11.387 * [backup-simplify]: Simplify 1 into 1 11.387 * [backup-simplify]: Simplify (* 1 1) into 1 11.387 * [backup-simplify]: Simplify (* 1 1) into 1 11.388 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 11.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.390 * [backup-simplify]: Simplify 0 into 0 11.391 * [backup-simplify]: Simplify 0 into 0 11.391 * [backup-simplify]: Simplify 0 into 0 11.391 * [backup-simplify]: Simplify 0 into 0 11.391 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) into (pow x 2) 11.391 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 11.391 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 11.391 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 11.391 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 11.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 11.391 * [taylor]: Taking taylor expansion of (pow x 4) in y 11.391 * [taylor]: Taking taylor expansion of x in y 11.391 * [backup-simplify]: Simplify x into x 11.391 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.391 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 11.391 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 11.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 11.392 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.392 * [taylor]: Taking taylor expansion of y in y 11.392 * [backup-simplify]: Simplify 0 into 0 11.392 * [backup-simplify]: Simplify 1 into 1 11.392 * [backup-simplify]: Simplify (* 1 1) into 1 11.392 * [backup-simplify]: Simplify (* 1 1) into 1 11.392 * [backup-simplify]: Simplify (/ 1 1) into 1 11.393 * [backup-simplify]: Simplify (- 1) into -1 11.393 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.393 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 11.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.394 * [backup-simplify]: Simplify (- 0) into 0 11.395 * [backup-simplify]: Simplify (+ 0 0) into 0 11.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 11.395 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 11.395 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 11.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 11.395 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.395 * [taylor]: Taking taylor expansion of x in x 11.395 * [backup-simplify]: Simplify 0 into 0 11.395 * [backup-simplify]: Simplify 1 into 1 11.395 * [backup-simplify]: Simplify (* 1 1) into 1 11.396 * [backup-simplify]: Simplify (* 1 1) into 1 11.396 * [backup-simplify]: Simplify (/ 1 1) into 1 11.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 11.396 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.396 * [taylor]: Taking taylor expansion of y in x 11.396 * [backup-simplify]: Simplify y into y 11.396 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.396 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.396 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 11.397 * [backup-simplify]: Simplify (+ 1 0) into 1 11.397 * [backup-simplify]: Simplify (sqrt 1) into 1 11.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.398 * [backup-simplify]: Simplify (+ 0 0) into 0 11.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.399 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 11.399 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 11.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 11.399 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.399 * [taylor]: Taking taylor expansion of x in x 11.399 * [backup-simplify]: Simplify 0 into 0 11.399 * [backup-simplify]: Simplify 1 into 1 11.400 * [backup-simplify]: Simplify (* 1 1) into 1 11.400 * [backup-simplify]: Simplify (* 1 1) into 1 11.400 * [backup-simplify]: Simplify (/ 1 1) into 1 11.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 11.400 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.400 * [taylor]: Taking taylor expansion of y in x 11.400 * [backup-simplify]: Simplify y into y 11.400 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.401 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.401 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 11.401 * [backup-simplify]: Simplify (+ 1 0) into 1 11.402 * [backup-simplify]: Simplify (sqrt 1) into 1 11.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.404 * [backup-simplify]: Simplify (+ 0 0) into 0 11.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.405 * [taylor]: Taking taylor expansion of 1 in y 11.405 * [backup-simplify]: Simplify 1 into 1 11.405 * [taylor]: Taking taylor expansion of 0 in y 11.405 * [backup-simplify]: Simplify 0 into 0 11.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.408 * [backup-simplify]: Simplify (+ 0 0) into 0 11.409 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 11.409 * [taylor]: Taking taylor expansion of 0 in y 11.409 * [backup-simplify]: Simplify 0 into 0 11.409 * [backup-simplify]: Simplify 1 into 1 11.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.413 * [backup-simplify]: Simplify (+ 0 0) into 0 11.414 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 11.414 * [taylor]: Taking taylor expansion of 0 in y 11.414 * [backup-simplify]: Simplify 0 into 0 11.414 * [backup-simplify]: Simplify 0 into 0 11.414 * [backup-simplify]: Simplify 0 into 0 11.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.418 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 11.418 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 11.420 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 11.421 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 11.421 * [taylor]: Taking taylor expansion of -1/2 in y 11.421 * [backup-simplify]: Simplify -1/2 into -1/2 11.421 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.421 * [taylor]: Taking taylor expansion of y in y 11.421 * [backup-simplify]: Simplify 0 into 0 11.421 * [backup-simplify]: Simplify 1 into 1 11.421 * [backup-simplify]: Simplify (* 1 1) into 1 11.422 * [backup-simplify]: Simplify (* 1 1) into 1 11.422 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 11.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.428 * [backup-simplify]: Simplify 0 into 0 11.428 * [backup-simplify]: Simplify 0 into 0 11.428 * [backup-simplify]: Simplify 0 into 0 11.428 * [backup-simplify]: Simplify 0 into 0 11.428 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) into (pow x 2) 11.428 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 11.429 * [backup-simplify]: Simplify (sqrt (- (pow x 4.0) (pow y 4.0))) into (sqrt (- (pow x 4) (pow y 4))) 11.429 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in (x y) around 0 11.429 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in y 11.429 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 11.429 * [taylor]: Taking taylor expansion of (pow x 4) in y 11.429 * [taylor]: Taking taylor expansion of x in y 11.429 * [backup-simplify]: Simplify x into x 11.429 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.429 * [taylor]: Taking taylor expansion of y in y 11.429 * [backup-simplify]: Simplify 0 into 0 11.429 * [backup-simplify]: Simplify 1 into 1 11.429 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.429 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 11.429 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 11.430 * [backup-simplify]: Simplify (sqrt (pow x 4)) into (pow x 2) 11.430 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 11.430 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 11.430 * [backup-simplify]: Simplify (+ 0 0) into 0 11.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 4)))) into 0 11.431 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 11.431 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 11.431 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.431 * [taylor]: Taking taylor expansion of x in x 11.431 * [backup-simplify]: Simplify 0 into 0 11.431 * [backup-simplify]: Simplify 1 into 1 11.431 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.431 * [taylor]: Taking taylor expansion of y in x 11.431 * [backup-simplify]: Simplify y into y 11.431 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.431 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.431 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 11.432 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 11.432 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 11.432 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 11.432 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 11.433 * [backup-simplify]: Simplify (- 0) into 0 11.433 * [backup-simplify]: Simplify (+ 0 0) into 0 11.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 11.433 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 11.433 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 11.433 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.433 * [taylor]: Taking taylor expansion of x in x 11.433 * [backup-simplify]: Simplify 0 into 0 11.433 * [backup-simplify]: Simplify 1 into 1 11.433 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.434 * [taylor]: Taking taylor expansion of y in x 11.434 * [backup-simplify]: Simplify y into y 11.434 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.434 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.434 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 11.434 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 11.434 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 11.434 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 11.435 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 11.435 * [backup-simplify]: Simplify (- 0) into 0 11.436 * [backup-simplify]: Simplify (+ 0 0) into 0 11.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 11.436 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 11.436 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 11.436 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.436 * [taylor]: Taking taylor expansion of y in y 11.436 * [backup-simplify]: Simplify 0 into 0 11.436 * [backup-simplify]: Simplify 1 into 1 11.437 * [backup-simplify]: Simplify (* 1 1) into 1 11.437 * [backup-simplify]: Simplify (* 1 1) into 1 11.437 * [backup-simplify]: Simplify (- 1) into -1 11.438 * [backup-simplify]: Simplify (- 1) into -1 11.438 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 11.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.441 * [backup-simplify]: Simplify (- 0) into 0 11.441 * [backup-simplify]: Simplify (- 1) into -1 11.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 11.442 * [taylor]: Taking taylor expansion of 0 in y 11.442 * [backup-simplify]: Simplify 0 into 0 11.442 * [backup-simplify]: Simplify 0 into 0 11.442 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 11.443 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 11.444 * [backup-simplify]: Simplify (- 0) into 0 11.444 * [backup-simplify]: Simplify (+ 0 0) into 0 11.445 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (pow y 4))))) into 0 11.445 * [taylor]: Taking taylor expansion of 0 in y 11.445 * [backup-simplify]: Simplify 0 into 0 11.445 * [backup-simplify]: Simplify 0 into 0 11.445 * [backup-simplify]: Simplify 0 into 0 11.445 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 11.446 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 11.448 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 11.448 * [backup-simplify]: Simplify (- 0) into 0 11.448 * [backup-simplify]: Simplify (+ 0 0) into 0 11.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into 0 11.449 * [taylor]: Taking taylor expansion of 0 in y 11.449 * [backup-simplify]: Simplify 0 into 0 11.449 * [backup-simplify]: Simplify 0 into 0 11.450 * [backup-simplify]: Simplify 0 into 0 11.450 * [backup-simplify]: Simplify 0 into 0 11.450 * [backup-simplify]: Simplify 0 into 0 11.450 * [backup-simplify]: Simplify (* 1 1) into 1 11.450 * [backup-simplify]: Simplify (* 1 1) into 1 11.452 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 11.453 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 11.453 * [backup-simplify]: Simplify (- 0) into 0 11.454 * [backup-simplify]: Simplify (+ 1 0) into 1 11.455 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into (/ 1/2 (sqrt (- (pow y 4)))) 11.456 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow y 4)))) in y 11.456 * [taylor]: Taking taylor expansion of 1/2 in y 11.456 * [backup-simplify]: Simplify 1/2 into 1/2 11.456 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 11.456 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 11.456 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.456 * [taylor]: Taking taylor expansion of y in y 11.456 * [backup-simplify]: Simplify 0 into 0 11.456 * [backup-simplify]: Simplify 1 into 1 11.456 * [backup-simplify]: Simplify (* 1 1) into 1 11.456 * [backup-simplify]: Simplify (* 1 1) into 1 11.457 * [backup-simplify]: Simplify (- 1) into -1 11.457 * [backup-simplify]: Simplify (- 1) into -1 11.458 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 11.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.459 * [backup-simplify]: Simplify (- 0) into 0 11.460 * [backup-simplify]: Simplify (- 1) into -1 11.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 11.461 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 11.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.463 * [backup-simplify]: Simplify (- 0) into 0 11.465 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 11.466 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 11.467 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 11.467 * [backup-simplify]: Simplify 0 into 0 11.467 * [backup-simplify]: Simplify 0 into 0 11.468 * [backup-simplify]: Simplify (* (sqrt -1) (pow (* y 1) 2)) into (* (pow y 2) (sqrt -1)) 11.468 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 11.468 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 11.469 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 11.469 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 11.469 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 11.469 * [taylor]: Taking taylor expansion of (pow x 4) in y 11.469 * [taylor]: Taking taylor expansion of x in y 11.469 * [backup-simplify]: Simplify x into x 11.469 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.469 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 11.469 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 11.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 11.469 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.469 * [taylor]: Taking taylor expansion of y in y 11.469 * [backup-simplify]: Simplify 0 into 0 11.469 * [backup-simplify]: Simplify 1 into 1 11.470 * [backup-simplify]: Simplify (* 1 1) into 1 11.470 * [backup-simplify]: Simplify (* 1 1) into 1 11.470 * [backup-simplify]: Simplify (/ 1 1) into 1 11.471 * [backup-simplify]: Simplify (- 1) into -1 11.471 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.472 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 11.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.474 * [backup-simplify]: Simplify (- 0) into 0 11.474 * [backup-simplify]: Simplify (+ 0 0) into 0 11.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 11.475 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 11.475 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 11.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 11.475 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.475 * [taylor]: Taking taylor expansion of x in x 11.475 * [backup-simplify]: Simplify 0 into 0 11.475 * [backup-simplify]: Simplify 1 into 1 11.476 * [backup-simplify]: Simplify (* 1 1) into 1 11.476 * [backup-simplify]: Simplify (* 1 1) into 1 11.477 * [backup-simplify]: Simplify (/ 1 1) into 1 11.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 11.477 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.477 * [taylor]: Taking taylor expansion of y in x 11.477 * [backup-simplify]: Simplify y into y 11.477 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.477 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.477 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 11.478 * [backup-simplify]: Simplify (+ 1 0) into 1 11.478 * [backup-simplify]: Simplify (sqrt 1) into 1 11.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.481 * [backup-simplify]: Simplify (+ 0 0) into 0 11.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.481 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 11.481 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 11.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 11.481 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.481 * [taylor]: Taking taylor expansion of x in x 11.482 * [backup-simplify]: Simplify 0 into 0 11.482 * [backup-simplify]: Simplify 1 into 1 11.482 * [backup-simplify]: Simplify (* 1 1) into 1 11.482 * [backup-simplify]: Simplify (* 1 1) into 1 11.483 * [backup-simplify]: Simplify (/ 1 1) into 1 11.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 11.483 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.483 * [taylor]: Taking taylor expansion of y in x 11.483 * [backup-simplify]: Simplify y into y 11.483 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.483 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.483 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 11.484 * [backup-simplify]: Simplify (+ 1 0) into 1 11.484 * [backup-simplify]: Simplify (sqrt 1) into 1 11.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.487 * [backup-simplify]: Simplify (+ 0 0) into 0 11.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.488 * [taylor]: Taking taylor expansion of 1 in y 11.488 * [backup-simplify]: Simplify 1 into 1 11.488 * [taylor]: Taking taylor expansion of 0 in y 11.488 * [backup-simplify]: Simplify 0 into 0 11.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.491 * [backup-simplify]: Simplify (+ 0 0) into 0 11.492 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 11.492 * [taylor]: Taking taylor expansion of 0 in y 11.492 * [backup-simplify]: Simplify 0 into 0 11.492 * [backup-simplify]: Simplify 1 into 1 11.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.496 * [backup-simplify]: Simplify (+ 0 0) into 0 11.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 11.501 * [taylor]: Taking taylor expansion of 0 in y 11.501 * [backup-simplify]: Simplify 0 into 0 11.501 * [backup-simplify]: Simplify 0 into 0 11.501 * [backup-simplify]: Simplify 0 into 0 11.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.506 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 11.506 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 11.507 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 11.507 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 11.507 * [taylor]: Taking taylor expansion of -1/2 in y 11.507 * [backup-simplify]: Simplify -1/2 into -1/2 11.507 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.507 * [taylor]: Taking taylor expansion of y in y 11.507 * [backup-simplify]: Simplify 0 into 0 11.507 * [backup-simplify]: Simplify 1 into 1 11.507 * [backup-simplify]: Simplify (* 1 1) into 1 11.508 * [backup-simplify]: Simplify (* 1 1) into 1 11.508 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 11.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.511 * [backup-simplify]: Simplify 0 into 0 11.511 * [backup-simplify]: Simplify 0 into 0 11.511 * [backup-simplify]: Simplify 0 into 0 11.511 * [backup-simplify]: Simplify 0 into 0 11.511 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) into (pow x 2) 11.511 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 11.511 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 11.511 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 11.511 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 11.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 11.511 * [taylor]: Taking taylor expansion of (pow x 4) in y 11.512 * [taylor]: Taking taylor expansion of x in y 11.512 * [backup-simplify]: Simplify x into x 11.512 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.512 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 11.512 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 11.512 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 11.512 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.512 * [taylor]: Taking taylor expansion of y in y 11.512 * [backup-simplify]: Simplify 0 into 0 11.512 * [backup-simplify]: Simplify 1 into 1 11.512 * [backup-simplify]: Simplify (* 1 1) into 1 11.512 * [backup-simplify]: Simplify (* 1 1) into 1 11.513 * [backup-simplify]: Simplify (/ 1 1) into 1 11.513 * [backup-simplify]: Simplify (- 1) into -1 11.513 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.513 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 11.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.515 * [backup-simplify]: Simplify (- 0) into 0 11.515 * [backup-simplify]: Simplify (+ 0 0) into 0 11.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 11.515 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 11.515 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 11.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 11.515 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.515 * [taylor]: Taking taylor expansion of x in x 11.515 * [backup-simplify]: Simplify 0 into 0 11.515 * [backup-simplify]: Simplify 1 into 1 11.516 * [backup-simplify]: Simplify (* 1 1) into 1 11.516 * [backup-simplify]: Simplify (* 1 1) into 1 11.516 * [backup-simplify]: Simplify (/ 1 1) into 1 11.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 11.516 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.516 * [taylor]: Taking taylor expansion of y in x 11.516 * [backup-simplify]: Simplify y into y 11.516 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.516 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.517 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 11.517 * [backup-simplify]: Simplify (+ 1 0) into 1 11.517 * [backup-simplify]: Simplify (sqrt 1) into 1 11.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.518 * [backup-simplify]: Simplify (+ 0 0) into 0 11.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.519 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 11.519 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 11.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 11.519 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.519 * [taylor]: Taking taylor expansion of x in x 11.519 * [backup-simplify]: Simplify 0 into 0 11.519 * [backup-simplify]: Simplify 1 into 1 11.519 * [backup-simplify]: Simplify (* 1 1) into 1 11.520 * [backup-simplify]: Simplify (* 1 1) into 1 11.520 * [backup-simplify]: Simplify (/ 1 1) into 1 11.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 11.520 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.520 * [taylor]: Taking taylor expansion of y in x 11.520 * [backup-simplify]: Simplify y into y 11.520 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.520 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.520 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 11.520 * [backup-simplify]: Simplify (+ 1 0) into 1 11.521 * [backup-simplify]: Simplify (sqrt 1) into 1 11.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.522 * [backup-simplify]: Simplify (+ 0 0) into 0 11.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.523 * [taylor]: Taking taylor expansion of 1 in y 11.523 * [backup-simplify]: Simplify 1 into 1 11.523 * [taylor]: Taking taylor expansion of 0 in y 11.523 * [backup-simplify]: Simplify 0 into 0 11.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.524 * [backup-simplify]: Simplify (+ 0 0) into 0 11.525 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 11.525 * [taylor]: Taking taylor expansion of 0 in y 11.525 * [backup-simplify]: Simplify 0 into 0 11.525 * [backup-simplify]: Simplify 1 into 1 11.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.527 * [backup-simplify]: Simplify (+ 0 0) into 0 11.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 11.528 * [taylor]: Taking taylor expansion of 0 in y 11.528 * [backup-simplify]: Simplify 0 into 0 11.528 * [backup-simplify]: Simplify 0 into 0 11.528 * [backup-simplify]: Simplify 0 into 0 11.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.530 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 11.530 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 11.531 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 11.531 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 11.531 * [taylor]: Taking taylor expansion of -1/2 in y 11.531 * [backup-simplify]: Simplify -1/2 into -1/2 11.531 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.531 * [taylor]: Taking taylor expansion of y in y 11.531 * [backup-simplify]: Simplify 0 into 0 11.532 * [backup-simplify]: Simplify 1 into 1 11.532 * [backup-simplify]: Simplify (* 1 1) into 1 11.532 * [backup-simplify]: Simplify (* 1 1) into 1 11.532 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 11.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.536 * [backup-simplify]: Simplify 0 into 0 11.536 * [backup-simplify]: Simplify 0 into 0 11.536 * [backup-simplify]: Simplify 0 into 0 11.536 * [backup-simplify]: Simplify 0 into 0 11.536 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) into (pow x 2) 11.536 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 11.537 * [backup-simplify]: Simplify (sqrt (- (pow x 4.0) (pow y 4.0))) into (sqrt (- (pow x 4) (pow y 4))) 11.537 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in (x y) around 0 11.537 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in y 11.537 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 11.537 * [taylor]: Taking taylor expansion of (pow x 4) in y 11.537 * [taylor]: Taking taylor expansion of x in y 11.537 * [backup-simplify]: Simplify x into x 11.537 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.537 * [taylor]: Taking taylor expansion of y in y 11.537 * [backup-simplify]: Simplify 0 into 0 11.537 * [backup-simplify]: Simplify 1 into 1 11.537 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.537 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 11.537 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 11.537 * [backup-simplify]: Simplify (sqrt (pow x 4)) into (pow x 2) 11.537 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 11.538 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 11.538 * [backup-simplify]: Simplify (+ 0 0) into 0 11.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 4)))) into 0 11.538 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 11.538 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 11.538 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.538 * [taylor]: Taking taylor expansion of x in x 11.538 * [backup-simplify]: Simplify 0 into 0 11.538 * [backup-simplify]: Simplify 1 into 1 11.539 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.539 * [taylor]: Taking taylor expansion of y in x 11.539 * [backup-simplify]: Simplify y into y 11.539 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.539 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.539 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 11.539 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 11.539 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 11.539 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 11.540 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 11.540 * [backup-simplify]: Simplify (- 0) into 0 11.540 * [backup-simplify]: Simplify (+ 0 0) into 0 11.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 11.541 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 11.541 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 11.541 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.541 * [taylor]: Taking taylor expansion of x in x 11.541 * [backup-simplify]: Simplify 0 into 0 11.541 * [backup-simplify]: Simplify 1 into 1 11.541 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.541 * [taylor]: Taking taylor expansion of y in x 11.541 * [backup-simplify]: Simplify y into y 11.541 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.541 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.541 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 11.541 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 11.542 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 11.542 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 11.542 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 11.542 * [backup-simplify]: Simplify (- 0) into 0 11.543 * [backup-simplify]: Simplify (+ 0 0) into 0 11.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 11.543 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 11.543 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 11.543 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.543 * [taylor]: Taking taylor expansion of y in y 11.543 * [backup-simplify]: Simplify 0 into 0 11.543 * [backup-simplify]: Simplify 1 into 1 11.543 * [backup-simplify]: Simplify (* 1 1) into 1 11.544 * [backup-simplify]: Simplify (* 1 1) into 1 11.544 * [backup-simplify]: Simplify (- 1) into -1 11.544 * [backup-simplify]: Simplify (- 1) into -1 11.545 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 11.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.546 * [backup-simplify]: Simplify (- 0) into 0 11.547 * [backup-simplify]: Simplify (- 1) into -1 11.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 11.548 * [taylor]: Taking taylor expansion of 0 in y 11.548 * [backup-simplify]: Simplify 0 into 0 11.548 * [backup-simplify]: Simplify 0 into 0 11.548 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 11.549 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 11.549 * [backup-simplify]: Simplify (- 0) into 0 11.549 * [backup-simplify]: Simplify (+ 0 0) into 0 11.550 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (pow y 4))))) into 0 11.550 * [taylor]: Taking taylor expansion of 0 in y 11.550 * [backup-simplify]: Simplify 0 into 0 11.550 * [backup-simplify]: Simplify 0 into 0 11.550 * [backup-simplify]: Simplify 0 into 0 11.551 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 11.552 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 11.553 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 11.553 * [backup-simplify]: Simplify (- 0) into 0 11.553 * [backup-simplify]: Simplify (+ 0 0) into 0 11.554 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into 0 11.554 * [taylor]: Taking taylor expansion of 0 in y 11.554 * [backup-simplify]: Simplify 0 into 0 11.554 * [backup-simplify]: Simplify 0 into 0 11.554 * [backup-simplify]: Simplify 0 into 0 11.554 * [backup-simplify]: Simplify 0 into 0 11.554 * [backup-simplify]: Simplify 0 into 0 11.555 * [backup-simplify]: Simplify (* 1 1) into 1 11.555 * [backup-simplify]: Simplify (* 1 1) into 1 11.556 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 11.558 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 11.558 * [backup-simplify]: Simplify (- 0) into 0 11.558 * [backup-simplify]: Simplify (+ 1 0) into 1 11.560 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into (/ 1/2 (sqrt (- (pow y 4)))) 11.560 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow y 4)))) in y 11.560 * [taylor]: Taking taylor expansion of 1/2 in y 11.560 * [backup-simplify]: Simplify 1/2 into 1/2 11.560 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 11.560 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 11.560 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.560 * [taylor]: Taking taylor expansion of y in y 11.560 * [backup-simplify]: Simplify 0 into 0 11.560 * [backup-simplify]: Simplify 1 into 1 11.560 * [backup-simplify]: Simplify (* 1 1) into 1 11.561 * [backup-simplify]: Simplify (* 1 1) into 1 11.561 * [backup-simplify]: Simplify (- 1) into -1 11.561 * [backup-simplify]: Simplify (- 1) into -1 11.562 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 11.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.563 * [backup-simplify]: Simplify (- 0) into 0 11.564 * [backup-simplify]: Simplify (- 1) into -1 11.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 11.566 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 11.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.567 * [backup-simplify]: Simplify (- 0) into 0 11.568 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 11.568 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 11.569 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 11.569 * [backup-simplify]: Simplify 0 into 0 11.569 * [backup-simplify]: Simplify 0 into 0 11.570 * [backup-simplify]: Simplify (* (sqrt -1) (pow (* y 1) 2)) into (* (pow y 2) (sqrt -1)) 11.570 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 11.570 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 11.570 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 11.570 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 11.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 11.570 * [taylor]: Taking taylor expansion of (pow x 4) in y 11.570 * [taylor]: Taking taylor expansion of x in y 11.570 * [backup-simplify]: Simplify x into x 11.570 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.570 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 11.570 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 11.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 11.570 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.570 * [taylor]: Taking taylor expansion of y in y 11.571 * [backup-simplify]: Simplify 0 into 0 11.571 * [backup-simplify]: Simplify 1 into 1 11.571 * [backup-simplify]: Simplify (* 1 1) into 1 11.571 * [backup-simplify]: Simplify (* 1 1) into 1 11.571 * [backup-simplify]: Simplify (/ 1 1) into 1 11.571 * [backup-simplify]: Simplify (- 1) into -1 11.572 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.572 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 11.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.573 * [backup-simplify]: Simplify (- 0) into 0 11.574 * [backup-simplify]: Simplify (+ 0 0) into 0 11.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 11.574 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 11.574 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 11.574 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 11.574 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.574 * [taylor]: Taking taylor expansion of x in x 11.574 * [backup-simplify]: Simplify 0 into 0 11.574 * [backup-simplify]: Simplify 1 into 1 11.574 * [backup-simplify]: Simplify (* 1 1) into 1 11.575 * [backup-simplify]: Simplify (* 1 1) into 1 11.575 * [backup-simplify]: Simplify (/ 1 1) into 1 11.575 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 11.575 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.575 * [taylor]: Taking taylor expansion of y in x 11.575 * [backup-simplify]: Simplify y into y 11.575 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.575 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.575 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 11.575 * [backup-simplify]: Simplify (+ 1 0) into 1 11.576 * [backup-simplify]: Simplify (sqrt 1) into 1 11.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.577 * [backup-simplify]: Simplify (+ 0 0) into 0 11.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.578 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 11.578 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 11.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 11.578 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.578 * [taylor]: Taking taylor expansion of x in x 11.578 * [backup-simplify]: Simplify 0 into 0 11.578 * [backup-simplify]: Simplify 1 into 1 11.578 * [backup-simplify]: Simplify (* 1 1) into 1 11.578 * [backup-simplify]: Simplify (* 1 1) into 1 11.578 * [backup-simplify]: Simplify (/ 1 1) into 1 11.578 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 11.578 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.578 * [taylor]: Taking taylor expansion of y in x 11.578 * [backup-simplify]: Simplify y into y 11.579 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.579 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.579 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 11.579 * [backup-simplify]: Simplify (+ 1 0) into 1 11.579 * [backup-simplify]: Simplify (sqrt 1) into 1 11.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.581 * [backup-simplify]: Simplify (+ 0 0) into 0 11.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.581 * [taylor]: Taking taylor expansion of 1 in y 11.581 * [backup-simplify]: Simplify 1 into 1 11.581 * [taylor]: Taking taylor expansion of 0 in y 11.581 * [backup-simplify]: Simplify 0 into 0 11.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.583 * [backup-simplify]: Simplify (+ 0 0) into 0 11.584 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 11.584 * [taylor]: Taking taylor expansion of 0 in y 11.584 * [backup-simplify]: Simplify 0 into 0 11.584 * [backup-simplify]: Simplify 1 into 1 11.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.586 * [backup-simplify]: Simplify (+ 0 0) into 0 11.586 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 11.586 * [taylor]: Taking taylor expansion of 0 in y 11.587 * [backup-simplify]: Simplify 0 into 0 11.587 * [backup-simplify]: Simplify 0 into 0 11.587 * [backup-simplify]: Simplify 0 into 0 11.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.589 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 11.589 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 11.590 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 11.590 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 11.590 * [taylor]: Taking taylor expansion of -1/2 in y 11.590 * [backup-simplify]: Simplify -1/2 into -1/2 11.590 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.590 * [taylor]: Taking taylor expansion of y in y 11.590 * [backup-simplify]: Simplify 0 into 0 11.590 * [backup-simplify]: Simplify 1 into 1 11.590 * [backup-simplify]: Simplify (* 1 1) into 1 11.590 * [backup-simplify]: Simplify (* 1 1) into 1 11.591 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 11.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.594 * [backup-simplify]: Simplify 0 into 0 11.594 * [backup-simplify]: Simplify 0 into 0 11.594 * [backup-simplify]: Simplify 0 into 0 11.594 * [backup-simplify]: Simplify 0 into 0 11.594 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) into (pow x 2) 11.594 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 11.594 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 11.594 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 11.594 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 11.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 11.594 * [taylor]: Taking taylor expansion of (pow x 4) in y 11.594 * [taylor]: Taking taylor expansion of x in y 11.594 * [backup-simplify]: Simplify x into x 11.594 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.595 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 11.595 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 11.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 11.595 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.595 * [taylor]: Taking taylor expansion of y in y 11.595 * [backup-simplify]: Simplify 0 into 0 11.595 * [backup-simplify]: Simplify 1 into 1 11.595 * [backup-simplify]: Simplify (* 1 1) into 1 11.596 * [backup-simplify]: Simplify (* 1 1) into 1 11.596 * [backup-simplify]: Simplify (/ 1 1) into 1 11.596 * [backup-simplify]: Simplify (- 1) into -1 11.597 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.597 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 11.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.600 * [backup-simplify]: Simplify (- 0) into 0 11.600 * [backup-simplify]: Simplify (+ 0 0) into 0 11.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 11.601 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 11.601 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 11.601 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 11.601 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.601 * [taylor]: Taking taylor expansion of x in x 11.601 * [backup-simplify]: Simplify 0 into 0 11.601 * [backup-simplify]: Simplify 1 into 1 11.601 * [backup-simplify]: Simplify (* 1 1) into 1 11.602 * [backup-simplify]: Simplify (* 1 1) into 1 11.602 * [backup-simplify]: Simplify (/ 1 1) into 1 11.602 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 11.602 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.602 * [taylor]: Taking taylor expansion of y in x 11.602 * [backup-simplify]: Simplify y into y 11.602 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.603 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.603 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 11.603 * [backup-simplify]: Simplify (+ 1 0) into 1 11.604 * [backup-simplify]: Simplify (sqrt 1) into 1 11.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.606 * [backup-simplify]: Simplify (+ 0 0) into 0 11.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.607 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 11.607 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 11.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 11.607 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.607 * [taylor]: Taking taylor expansion of x in x 11.607 * [backup-simplify]: Simplify 0 into 0 11.607 * [backup-simplify]: Simplify 1 into 1 11.608 * [backup-simplify]: Simplify (* 1 1) into 1 11.608 * [backup-simplify]: Simplify (* 1 1) into 1 11.608 * [backup-simplify]: Simplify (/ 1 1) into 1 11.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 11.608 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.608 * [taylor]: Taking taylor expansion of y in x 11.608 * [backup-simplify]: Simplify y into y 11.609 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.609 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.609 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 11.609 * [backup-simplify]: Simplify (+ 1 0) into 1 11.610 * [backup-simplify]: Simplify (sqrt 1) into 1 11.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.618 * [backup-simplify]: Simplify (+ 0 0) into 0 11.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.619 * [taylor]: Taking taylor expansion of 1 in y 11.619 * [backup-simplify]: Simplify 1 into 1 11.619 * [taylor]: Taking taylor expansion of 0 in y 11.619 * [backup-simplify]: Simplify 0 into 0 11.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.622 * [backup-simplify]: Simplify (+ 0 0) into 0 11.623 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 11.623 * [taylor]: Taking taylor expansion of 0 in y 11.623 * [backup-simplify]: Simplify 0 into 0 11.624 * [backup-simplify]: Simplify 1 into 1 11.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.628 * [backup-simplify]: Simplify (+ 0 0) into 0 11.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 11.629 * [taylor]: Taking taylor expansion of 0 in y 11.629 * [backup-simplify]: Simplify 0 into 0 11.629 * [backup-simplify]: Simplify 0 into 0 11.629 * [backup-simplify]: Simplify 0 into 0 11.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.633 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 11.633 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 11.635 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 11.635 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 11.635 * [taylor]: Taking taylor expansion of -1/2 in y 11.635 * [backup-simplify]: Simplify -1/2 into -1/2 11.635 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.635 * [taylor]: Taking taylor expansion of y in y 11.635 * [backup-simplify]: Simplify 0 into 0 11.635 * [backup-simplify]: Simplify 1 into 1 11.636 * [backup-simplify]: Simplify (* 1 1) into 1 11.636 * [backup-simplify]: Simplify (* 1 1) into 1 11.636 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 11.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.642 * [backup-simplify]: Simplify 0 into 0 11.642 * [backup-simplify]: Simplify 0 into 0 11.643 * [backup-simplify]: Simplify 0 into 0 11.643 * [backup-simplify]: Simplify 0 into 0 11.643 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) into (pow x 2) 11.643 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 11.644 * [backup-simplify]: Simplify (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) into (pow (- (pow x 4) (pow y 4)) 1/4) 11.644 * [approximate]: Taking taylor expansion of (pow (- (pow x 4) (pow y 4)) 1/4) in (x y) around 0 11.644 * [taylor]: Taking taylor expansion of (pow (- (pow x 4) (pow y 4)) 1/4) in y 11.644 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (pow x 4) (pow y 4))))) in y 11.644 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (pow x 4) (pow y 4)))) in y 11.644 * [taylor]: Taking taylor expansion of 1/4 in y 11.644 * [backup-simplify]: Simplify 1/4 into 1/4 11.644 * [taylor]: Taking taylor expansion of (log (- (pow x 4) (pow y 4))) in y 11.644 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 11.644 * [taylor]: Taking taylor expansion of (pow x 4) in y 11.644 * [taylor]: Taking taylor expansion of x in y 11.644 * [backup-simplify]: Simplify x into x 11.644 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.644 * [taylor]: Taking taylor expansion of y in y 11.644 * [backup-simplify]: Simplify 0 into 0 11.644 * [backup-simplify]: Simplify 1 into 1 11.644 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.644 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 11.645 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 11.645 * [backup-simplify]: Simplify (log (pow x 4)) into (log (pow x 4)) 11.645 * [backup-simplify]: Simplify (* 1/4 (log (pow x 4))) into (* 1/4 (log (pow x 4))) 11.645 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow x 4)))) into (pow (pow x 4) 1/4) 11.645 * [taylor]: Taking taylor expansion of (pow (- (pow x 4) (pow y 4)) 1/4) in x 11.645 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (pow x 4) (pow y 4))))) in x 11.645 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (pow x 4) (pow y 4)))) in x 11.645 * [taylor]: Taking taylor expansion of 1/4 in x 11.645 * [backup-simplify]: Simplify 1/4 into 1/4 11.645 * [taylor]: Taking taylor expansion of (log (- (pow x 4) (pow y 4))) in x 11.645 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 11.645 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.645 * [taylor]: Taking taylor expansion of x in x 11.645 * [backup-simplify]: Simplify 0 into 0 11.645 * [backup-simplify]: Simplify 1 into 1 11.646 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.646 * [taylor]: Taking taylor expansion of y in x 11.646 * [backup-simplify]: Simplify y into y 11.646 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.646 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.646 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 11.646 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 11.646 * [backup-simplify]: Simplify (log (- (pow y 4))) into (log (- (pow y 4))) 11.647 * [backup-simplify]: Simplify (* 1/4 (log (- (pow y 4)))) into (* 1/4 (log (- (pow y 4)))) 11.647 * [backup-simplify]: Simplify (exp (* 1/4 (log (- (pow y 4))))) into (pow (- (pow y 4)) 1/4) 11.647 * [taylor]: Taking taylor expansion of (pow (- (pow x 4) (pow y 4)) 1/4) in x 11.647 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (pow x 4) (pow y 4))))) in x 11.647 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (pow x 4) (pow y 4)))) in x 11.647 * [taylor]: Taking taylor expansion of 1/4 in x 11.647 * [backup-simplify]: Simplify 1/4 into 1/4 11.647 * [taylor]: Taking taylor expansion of (log (- (pow x 4) (pow y 4))) in x 11.647 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 11.647 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.647 * [taylor]: Taking taylor expansion of x in x 11.647 * [backup-simplify]: Simplify 0 into 0 11.647 * [backup-simplify]: Simplify 1 into 1 11.647 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.647 * [taylor]: Taking taylor expansion of y in x 11.647 * [backup-simplify]: Simplify y into y 11.647 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.648 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.648 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 11.648 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 11.648 * [backup-simplify]: Simplify (log (- (pow y 4))) into (log (- (pow y 4))) 11.648 * [backup-simplify]: Simplify (* 1/4 (log (- (pow y 4)))) into (* 1/4 (log (- (pow y 4)))) 11.648 * [backup-simplify]: Simplify (exp (* 1/4 (log (- (pow y 4))))) into (pow (- (pow y 4)) 1/4) 11.649 * [taylor]: Taking taylor expansion of (pow (- (pow y 4)) 1/4) in y 11.649 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (pow y 4))))) in y 11.649 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (pow y 4)))) in y 11.649 * [taylor]: Taking taylor expansion of 1/4 in y 11.649 * [backup-simplify]: Simplify 1/4 into 1/4 11.649 * [taylor]: Taking taylor expansion of (log (- (pow y 4))) in y 11.649 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 11.649 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.649 * [taylor]: Taking taylor expansion of y in y 11.649 * [backup-simplify]: Simplify 0 into 0 11.649 * [backup-simplify]: Simplify 1 into 1 11.649 * [backup-simplify]: Simplify (* 1 1) into 1 11.650 * [backup-simplify]: Simplify (* 1 1) into 1 11.650 * [backup-simplify]: Simplify (- 1) into -1 11.651 * [backup-simplify]: Simplify (- 1) into -1 11.651 * [backup-simplify]: Simplify (log -1) into (log -1) 11.652 * [backup-simplify]: Simplify (+ (* (- -4) (log y)) (log -1)) into (+ (log -1) (* 4 (log y))) 11.652 * [backup-simplify]: Simplify (* 1/4 (+ (log -1) (* 4 (log y)))) into (* 1/4 (+ (log -1) (* 4 (log y)))) 11.653 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log -1) (* 4 (log y))))) into (exp (* 1/4 (+ (log -1) (* 4 (log y))))) 11.653 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log -1) (* 4 (log y))))) into (exp (* 1/4 (+ (log -1) (* 4 (log y))))) 11.654 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 11.654 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 11.654 * [backup-simplify]: Simplify (- 0) into 0 11.655 * [backup-simplify]: Simplify (+ 0 0) into 0 11.656 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (pow y 4)) 1)))) 1) into 0 11.656 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (- (pow y 4))))) into 0 11.657 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (- (pow y 4))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.657 * [taylor]: Taking taylor expansion of 0 in y 11.657 * [backup-simplify]: Simplify 0 into 0 11.657 * [backup-simplify]: Simplify 0 into 0 11.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.659 * [backup-simplify]: Simplify (- 0) into 0 11.659 * [backup-simplify]: Simplify (- 1) into -1 11.661 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 11.662 * [backup-simplify]: Simplify (+ (* (- -4) (log y)) (log -1)) into (+ (log -1) (* 4 (log y))) 11.663 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (log -1) (* 4 (log y))))) into 0 11.664 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log -1) (* 4 (log y))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.664 * [backup-simplify]: Simplify 0 into 0 11.665 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 11.665 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 11.666 * [backup-simplify]: Simplify (- 0) into 0 11.666 * [backup-simplify]: Simplify (+ 0 0) into 0 11.668 * [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 11.669 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (- (pow y 4)))))) into 0 11.671 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (- (pow y 4))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.671 * [taylor]: Taking taylor expansion of 0 in y 11.671 * [backup-simplify]: Simplify 0 into 0 11.671 * [backup-simplify]: Simplify 0 into 0 11.671 * [backup-simplify]: Simplify 0 into 0 11.671 * [backup-simplify]: Simplify (- 0) into 0 11.672 * [backup-simplify]: Simplify (- 1) into -1 11.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.674 * [backup-simplify]: Simplify (- 0) into 0 11.674 * [backup-simplify]: Simplify (- 1) into -1 11.678 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 11.678 * [backup-simplify]: Simplify (+ (* (- -4) (log y)) (log -1)) into (+ (log -1) (* 4 (log y))) 11.680 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (log -1) (* 4 (log y)))))) into 0 11.682 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log -1) (* 4 (log y))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.682 * [backup-simplify]: Simplify 0 into 0 11.683 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 11.684 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 11.684 * [backup-simplify]: Simplify (- 0) into 0 11.684 * [backup-simplify]: Simplify (+ 0 0) into 0 11.688 * [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 11.689 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (pow y 4))))))) into 0 11.691 * [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 11.691 * [taylor]: Taking taylor expansion of 0 in y 11.691 * [backup-simplify]: Simplify 0 into 0 11.691 * [backup-simplify]: Simplify 0 into 0 11.692 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log -1) (* 4 (log y))))) into (exp (* 1/4 (+ (log -1) (* 4 (log y))))) 11.693 * [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) 11.693 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in (x y) around 0 11.693 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in y 11.693 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))))) in y 11.693 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4))))) in y 11.693 * [taylor]: Taking taylor expansion of 1/4 in y 11.693 * [backup-simplify]: Simplify 1/4 into 1/4 11.693 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 11.693 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 11.693 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 11.693 * [taylor]: Taking taylor expansion of (pow x 4) in y 11.693 * [taylor]: Taking taylor expansion of x in y 11.693 * [backup-simplify]: Simplify x into x 11.693 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.693 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 11.693 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 11.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 11.694 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.694 * [taylor]: Taking taylor expansion of y in y 11.694 * [backup-simplify]: Simplify 0 into 0 11.694 * [backup-simplify]: Simplify 1 into 1 11.694 * [backup-simplify]: Simplify (* 1 1) into 1 11.695 * [backup-simplify]: Simplify (* 1 1) into 1 11.695 * [backup-simplify]: Simplify (/ 1 1) into 1 11.695 * [backup-simplify]: Simplify (- 1) into -1 11.696 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.696 * [backup-simplify]: Simplify (log -1) into (log -1) 11.697 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) (log -1)) into (- (log -1) (* 4 (log y))) 11.698 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (* 4 (log y)))) into (* 1/4 (- (log -1) (* 4 (log y)))) 11.698 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (* 4 (log y))))) into (exp (* 1/4 (- (log -1) (* 4 (log y))))) 11.698 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in x 11.698 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))))) in x 11.698 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4))))) in x 11.698 * [taylor]: Taking taylor expansion of 1/4 in x 11.698 * [backup-simplify]: Simplify 1/4 into 1/4 11.698 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 11.698 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 11.698 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 11.698 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.698 * [taylor]: Taking taylor expansion of x in x 11.698 * [backup-simplify]: Simplify 0 into 0 11.698 * [backup-simplify]: Simplify 1 into 1 11.699 * [backup-simplify]: Simplify (* 1 1) into 1 11.699 * [backup-simplify]: Simplify (* 1 1) into 1 11.699 * [backup-simplify]: Simplify (/ 1 1) into 1 11.699 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 11.699 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.699 * [taylor]: Taking taylor expansion of y in x 11.699 * [backup-simplify]: Simplify y into y 11.699 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.699 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.699 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 11.700 * [backup-simplify]: Simplify (+ 1 0) into 1 11.700 * [backup-simplify]: Simplify (log 1) into 0 11.700 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 11.700 * [backup-simplify]: Simplify (* 1/4 (- (* 4 (log x)))) into (* -1 (log x)) 11.700 * [backup-simplify]: Simplify (exp (* -1 (log x))) into (pow x -1) 11.700 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in x 11.700 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))))) in x 11.700 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4))))) in x 11.701 * [taylor]: Taking taylor expansion of 1/4 in x 11.701 * [backup-simplify]: Simplify 1/4 into 1/4 11.701 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 11.701 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 11.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 11.701 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.701 * [taylor]: Taking taylor expansion of x in x 11.701 * [backup-simplify]: Simplify 0 into 0 11.701 * [backup-simplify]: Simplify 1 into 1 11.701 * [backup-simplify]: Simplify (* 1 1) into 1 11.701 * [backup-simplify]: Simplify (* 1 1) into 1 11.701 * [backup-simplify]: Simplify (/ 1 1) into 1 11.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 11.701 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.701 * [taylor]: Taking taylor expansion of y in x 11.701 * [backup-simplify]: Simplify y into y 11.701 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.702 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.702 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 11.702 * [backup-simplify]: Simplify (+ 1 0) into 1 11.702 * [backup-simplify]: Simplify (log 1) into 0 11.702 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 11.703 * [backup-simplify]: Simplify (* 1/4 (- (* 4 (log x)))) into (* -1 (log x)) 11.703 * [backup-simplify]: Simplify (exp (* -1 (log x))) into (pow x -1) 11.703 * [taylor]: Taking taylor expansion of (pow x -1) in y 11.703 * [taylor]: Taking taylor expansion of x in y 11.703 * [backup-simplify]: Simplify x into x 11.703 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 11.703 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 11.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.704 * [backup-simplify]: Simplify (+ 0 0) into 0 11.705 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.705 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 11.706 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 4 (log x))))) into 0 11.706 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 11.706 * [taylor]: Taking taylor expansion of 0 in y 11.706 * [backup-simplify]: Simplify 0 into 0 11.706 * [backup-simplify]: Simplify 0 into 0 11.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 11.706 * [backup-simplify]: Simplify 0 into 0 11.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.708 * [backup-simplify]: Simplify (+ 0 0) into 0 11.710 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.710 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 11.711 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (* 4 (log x)))))) into 0 11.711 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.711 * [taylor]: Taking taylor expansion of 0 in y 11.711 * [backup-simplify]: Simplify 0 into 0 11.711 * [backup-simplify]: Simplify 0 into 0 11.712 * [backup-simplify]: Simplify 0 into 0 11.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 11.712 * [backup-simplify]: Simplify 0 into 0 11.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.714 * [backup-simplify]: Simplify (+ 0 0) into 0 11.716 * [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 11.717 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 11.718 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 4 (log x))))))) into 0 11.719 * [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 11.719 * [taylor]: Taking taylor expansion of 0 in y 11.719 * [backup-simplify]: Simplify 0 into 0 11.719 * [backup-simplify]: Simplify 0 into 0 11.719 * [backup-simplify]: Simplify (/ 1 (/ 1 x)) into x 11.719 * [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) 11.719 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in (x y) around 0 11.719 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in y 11.719 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))))) in y 11.719 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4))))) in y 11.719 * [taylor]: Taking taylor expansion of 1/4 in y 11.719 * [backup-simplify]: Simplify 1/4 into 1/4 11.719 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 11.719 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 11.719 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 11.719 * [taylor]: Taking taylor expansion of (pow x 4) in y 11.719 * [taylor]: Taking taylor expansion of x in y 11.719 * [backup-simplify]: Simplify x into x 11.719 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.719 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 11.720 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 11.720 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 11.720 * [taylor]: Taking taylor expansion of (pow y 4) in y 11.720 * [taylor]: Taking taylor expansion of y in y 11.720 * [backup-simplify]: Simplify 0 into 0 11.720 * [backup-simplify]: Simplify 1 into 1 11.720 * [backup-simplify]: Simplify (* 1 1) into 1 11.720 * [backup-simplify]: Simplify (* 1 1) into 1 11.720 * [backup-simplify]: Simplify (/ 1 1) into 1 11.721 * [backup-simplify]: Simplify (- 1) into -1 11.721 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.721 * [backup-simplify]: Simplify (log -1) into (log -1) 11.722 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) (log -1)) into (- (log -1) (* 4 (log y))) 11.722 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (* 4 (log y)))) into (* 1/4 (- (log -1) (* 4 (log y)))) 11.722 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (* 4 (log y))))) into (exp (* 1/4 (- (log -1) (* 4 (log y))))) 11.722 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in x 11.722 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))))) in x 11.722 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4))))) in x 11.722 * [taylor]: Taking taylor expansion of 1/4 in x 11.722 * [backup-simplify]: Simplify 1/4 into 1/4 11.722 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 11.722 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 11.722 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 11.722 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.722 * [taylor]: Taking taylor expansion of x in x 11.722 * [backup-simplify]: Simplify 0 into 0 11.722 * [backup-simplify]: Simplify 1 into 1 11.723 * [backup-simplify]: Simplify (* 1 1) into 1 11.723 * [backup-simplify]: Simplify (* 1 1) into 1 11.723 * [backup-simplify]: Simplify (/ 1 1) into 1 11.723 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 11.723 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.723 * [taylor]: Taking taylor expansion of y in x 11.723 * [backup-simplify]: Simplify y into y 11.723 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.723 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.723 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 11.724 * [backup-simplify]: Simplify (+ 1 0) into 1 11.724 * [backup-simplify]: Simplify (log 1) into 0 11.724 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 11.724 * [backup-simplify]: Simplify (* 1/4 (- (* 4 (log x)))) into (* -1 (log x)) 11.724 * [backup-simplify]: Simplify (exp (* -1 (log x))) into (pow x -1) 11.724 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in x 11.724 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))))) in x 11.724 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4))))) in x 11.724 * [taylor]: Taking taylor expansion of 1/4 in x 11.725 * [backup-simplify]: Simplify 1/4 into 1/4 11.725 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 11.725 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 11.725 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 11.725 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.725 * [taylor]: Taking taylor expansion of x in x 11.725 * [backup-simplify]: Simplify 0 into 0 11.725 * [backup-simplify]: Simplify 1 into 1 11.725 * [backup-simplify]: Simplify (* 1 1) into 1 11.725 * [backup-simplify]: Simplify (* 1 1) into 1 11.725 * [backup-simplify]: Simplify (/ 1 1) into 1 11.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 11.725 * [taylor]: Taking taylor expansion of (pow y 4) in x 11.725 * [taylor]: Taking taylor expansion of y in x 11.725 * [backup-simplify]: Simplify y into y 11.725 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.726 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 11.726 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 11.726 * [backup-simplify]: Simplify (+ 1 0) into 1 11.726 * [backup-simplify]: Simplify (log 1) into 0 11.727 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 11.727 * [backup-simplify]: Simplify (* 1/4 (- (* 4 (log x)))) into (* -1 (log x)) 11.727 * [backup-simplify]: Simplify (exp (* -1 (log x))) into (pow x -1) 11.727 * [taylor]: Taking taylor expansion of (pow x -1) in y 11.727 * [taylor]: Taking taylor expansion of x in y 11.727 * [backup-simplify]: Simplify x into x 11.727 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 11.727 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 11.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.730 * [backup-simplify]: Simplify (+ 0 0) into 0 11.731 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.731 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 11.732 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 4 (log x))))) into 0 11.733 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 11.733 * [taylor]: Taking taylor expansion of 0 in y 11.733 * [backup-simplify]: Simplify 0 into 0 11.733 * [backup-simplify]: Simplify 0 into 0 11.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 11.733 * [backup-simplify]: Simplify 0 into 0 11.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.737 * [backup-simplify]: Simplify (+ 0 0) into 0 11.740 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.740 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 11.741 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (* 4 (log x)))))) into 0 11.743 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.743 * [taylor]: Taking taylor expansion of 0 in y 11.743 * [backup-simplify]: Simplify 0 into 0 11.743 * [backup-simplify]: Simplify 0 into 0 11.743 * [backup-simplify]: Simplify 0 into 0 11.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 11.743 * [backup-simplify]: Simplify 0 into 0 11.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.747 * [backup-simplify]: Simplify (+ 0 0) into 0 11.752 * [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 11.753 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 11.758 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 4 (log x))))))) into 0 11.760 * [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 11.760 * [taylor]: Taking taylor expansion of 0 in y 11.760 * [backup-simplify]: Simplify 0 into 0 11.760 * [backup-simplify]: Simplify 0 into 0 11.761 * [backup-simplify]: Simplify (/ 1 (/ 1 (- x))) into (* -1 x) 11.761 * * * [progress]: simplifying candidates 11.765 * [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) 11.770 * * [simplify]: Extracting # 0 : cost 0 11.770 * * [simplify]: Extracting # 1 : cost 0 11.770 * * [simplify]: Extracting # 2 : cost 0 11.771 * * [simplify]: Extracting # 3 : cost 0 11.771 * * [simplify]: Extracting # 4 : cost 0 11.771 * * [simplify]: Extracting # 5 : cost 0 11.772 * * [simplify]: Extracting # 6 : cost 0 11.772 * * [simplify]: Extracting # 7 : cost 0 11.772 * * [simplify]: Extracting # 8 : cost 0 11.773 * * [simplify]: iteration 0 : 136 enodes (cost 1849 ) 11.803 * * [simplify]: Extracting # 0 : cost 0 11.803 * * [simplify]: Extracting # 1 : cost 0 11.804 * * [simplify]: Extracting # 2 : cost 0 11.804 * * [simplify]: Extracting # 3 : cost 0 11.804 * * [simplify]: Extracting # 4 : cost 0 11.804 * * [simplify]: Extracting # 5 : cost 0 11.805 * * [simplify]: iteration 1 : 226 enodes (cost 1683 ) 11.890 * * [simplify]: Extracting # 0 : cost 0 11.891 * * [simplify]: Extracting # 1 : cost 0 11.892 * * [simplify]: Extracting # 2 : cost 0 11.893 * * [simplify]: Extracting # 3 : cost 0 11.894 * * [simplify]: Extracting # 4 : cost 0 11.895 * * [simplify]: iteration 2 : 422 enodes (cost 1658 ) 12.085 * * [simplify]: Extracting # 0 : cost 0 12.088 * * [simplify]: Extracting # 1 : cost 0 12.090 * * [simplify]: Extracting # 2 : cost 0 12.092 * * [simplify]: Extracting # 3 : cost 0 12.093 * * [simplify]: Extracting # 4 : cost 0 12.094 * * [simplify]: Extracting # 5 : cost 0 12.096 * * [simplify]: iteration 3 : 1053 enodes (cost 1653 ) 13.171 * * [simplify]: Extracting # 0 : cost 0 13.181 * * [simplify]: Extracting # 1 : cost 0 13.190 * * [simplify]: Extracting # 2 : cost 0 13.197 * * [simplify]: Extracting # 3 : cost 0 13.205 * * [simplify]: Extracting # 4 : cost 0 13.213 * * [simplify]: iteration 4 : 4103 enodes (cost 1653 ) 15.370 * * [simplify]: Extracting # 0 : cost 0 15.376 * * [simplify]: Extracting # 1 : cost 0 15.381 * * [simplify]: Extracting # 2 : cost 0 15.386 * * [simplify]: Extracting # 3 : cost 0 15.391 * * [simplify]: Extracting # 4 : cost 0 15.396 * * [simplify]: iteration done: 5001 enodes (cost 1653 ) 15.397 * [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) 15.398 * * * [progress]: adding candidates to table 16.079 * [progress]: [Phase 3 of 3] Extracting. 16.079 * * [regime]: Finding splitpoints for: (# #)