`Series::gather()` stages x as f32 relative to `x0()` -- the start of the *retained window* -- so the value's ULP was a fraction of data the view need not even hold: 1.9 us over a 20 s ring. A readout quotes `x_at()` in exact f64, so at a 10 us view across 700 px that put more than a hundred pixels between where a sample is drawn and the x reported for it. The origin is now a parameter, placed before `out_xy` so every call site is a type error rather than a silent change of behaviour. `Renderer::draw_traces` passes the visible range's minimum, which makes the error a fixed 2^-24 of the span on screen -- 4e-5 of a pixel over a 700 px axis -- at every zoom. `stage_xy()` loses its second origin as a consequence: the gather origin and the draw origin are now always the same value, so the linear case hands the gathered buffer straight to `add_polyline_xy()` with no per-point copy. `Plot::crosshair_point()` names the query itself, the one origin that cannot lose precision for a caller that might. Guarded by `a_gather_origin_at_the_view_keeps_a_deep_zoom_on_the_sample_it_quotes`, which measures the error in pixels both ways: under 0.05 px with the view's minimum, over 10 px with `x0()`.