Precision and accuracy

Precision: floating-point numbers always have \(d\) binary digits, resolution bounded by machine epsilon

Absolute accuracy: \(| \text{approx}(x) - x |\)

Relative accuracy: \(\frac{| \text{approx}(x) - x |}{|x|}\)

Number of accurate digits: \(-\log_{10} \left\vert \frac{\text{approx}(x) - x}{x} \right\vert\)