  We present a phenomological model of the Cosmic Spectral Energy Distribution
(CSED) and the integrated galactic light (IGL) over all cosmic time. This
model, based on an earlier model by Driver et al. (2013), attributes the cosmic
star formation history to two processes -- firstly, chaotic clump accretion and
major mergers, resulting in the early-time formation of bulges and secondly,
cold gas accretion, resulting in late-time disc formation. Under the assumption
of a Universal Chabrier initial mass function, we combine the Bruzual & Charlot
(2003) stellar libraries, the Charlot & Fall (2000) dust attenuation
prescription and template spectra for emission by dust and active galactic
nuclei to predict the CSED -- pre- and post-dust attenuation -- and the IGL
throughout cosmic time. The phenomological model, as constructed, adopts a
number of basic axioms and empirical results and has minimal free parameters.
We compare the model output, as well as predictions from the semi-analytic
model GALFORM to recent estimates of the CSED out to $z=1$. By construction,
our empirical model reproduces the full energy output of the Universe from the
ultraviolet to the far-infrared extremely well. We use the model to derive
predictions of the stellar and dust mass densities, again finding good
agreement. We find that GALFORM predicts the CSED for $z < 0.3$ in good
agreement with the observations. This agreement becomes increasingly poor
towards $z = 1$, when the model CSED is $\sim$50 per cent fainter. The latter
is consistent with the model underpredicting the cosmic star formation history.
As a consequence, GALFORM predicts a $\sim$30 per cent fainter IGL.
