  We present a type IIB 4D string model with stabilised moduli which is able to
describe the history of the universe from inflation to quintessence. The
underlying Calabi-Yau volume is controlled by two moduli which are stabilised
by perturbative effects. The lighter of them drives Fibre Inflation at a large
energy scale. The two associated axions are ultra-light since they are lifted
only at the non-perturbative level. The lighter of them can drive quintessence
if its decay constant is large enough to prevent quantum diffusion during
inflation from ruining the initial conditions. The right dark energy scale can
be obtained via a large suppression from poly-instanton effects. The heavier
axion gives a negligible contribution to dark matter since it starts
oscillating after matter-radiation equality. If instead none of the two axions
has a large decay constant, a mild alignment allows the lighter axion to drive
quintessence, while the heavier can be at most a few percent of dark matter due
to isocurvature and UV bounds. In both cases dark matter can also come from
either primordial black holes or the QCD axion.
