  The Hubble constant problem is that the values of Hubble constant from the
observation of cosmic microwave background assuming the LambdaCDM model
disagrees with the values from direct measurements. This problem suggests some
new physics beyond the LambdaCDM model. Typically there are two ways of
reconciliation: one is the realization of smaller value of sound horizon at
recombination, and the other is the modification of the way of expansion of the
universe after recombination. In this letter we examine the latter possibility
by comparing two typical phenomenological dark energy models with the
distance-redshift relation provided by Pantheon catalogue of supernova
observations and galaxy surveys by BOSS and eBOSS collaborations. Though these
phenomenological dark energy models globally fit observations better than the
LambdaCDM model, they are strongly disfavored by the distance-redshift relation
as almost the same level as the LambdaCDM model defined by cosmic microwave
background observations. The distance-redshift relation strongly suggests some
new physics which realize smaller value of sound horizon at recombination.
