When staring in the face of infinity, computation can only take you so far. You have reached the limit of what floating-point arithmetic can faithfully represent. The Mandelbrot set is infinitely detailed; every boundary you see contains an entire universe of further structure without end.
To go deeper, coordinates must be expressed with ever-increasing precision: numbers whose decimal expansions never terminate, never repeat, and cannot be stored in any finite register.
The set will never simplify. It will only reveal more of itself.