  We prove that arbitrary (nonpolynomial) scalar evolution equations of order
$m\ge 7$, that are integrable in the sense of admitting the canonical conserved
densities $\ro^{(1)}$, $\ro^{(2)}$, and $\ro^{(3)}$ introduced in [MSS,1991],
are polynomial in the derivatives $u_{m-i}$ for $i=0,1,2.$ We also introduce a
grading in the algebra of polynomials in $u_k$ with $k\ge m-2$ over the ring of
functions in $x,t,u,...,u_{m-3}$ and show that integrable equations are scale
homogeneous with respect to this grading.
