  We derive a new non-singular tree-level KLT relation for the $n=5$-point
amplitudes, with manifest $2(n-2)!$ symmetry, using information from one-loop
amplitudes and IR divergences, and speculate how one might extend it to higher
n-point functions. We show that the subleading-color ${\cal N}=4$ SYM 5-point
amplitude has leading IR divergence of $1/\epsilon$, which is essential for the
applications of this paper. We also propose a relation between the
subleading-color ${\cal N}=4$ SYM and ${\cal N}=8$ supergravity 1-loop 5-point
amplitudes, valid for the IR divergences and possibly for the whole amplitudes,
using techniques similar to those used in our derivation of the new KLT
relation.
