The interval result of Evertse and Ferretti (2013) concerns a tuple $L$ of linear forms and one tuple $c$ of weights. It says that the parameters $Q$ for which the twisted height $H_{L,c,Q}$ has a small value outside an exceptional subspace $T(L,c)$ lie in $O(δ^{-2}\logδ^{-1})$ intervals $[Q_i,Q_i^ω)$. We prove this for a whole set $\mathcal{C}$ of weights with the same forms. At most $J$ subspaces $T(L,c)$ occur, where $J$ depends only on the dimension and on the number of places, and one family of $O(δ^{-2}\logδ^{-1})$ intervals serves every $c\in\mathcal{C}$ at once. Neither count depends on $\mathcal{C}$. In applications of Bugeaud-Evertse type the solutions are sorted into about $\varepsilon^{-1}$ classes with the same forms and different weights, and one application now serves all classes. We deduce three complexity bounds. For a real algebraic irrational number $ξ$, the number $p(n,ξ,b)$ of blocks of length $n$ in its base-$b$ expansion satisfies $\limsup p(n,ξ,b)/(n(\log n)^η)=\infty$ for every $η<1/2$; Bugeaud and Evertse proved this for $η<1/11$. The same holds for the continued fraction expansion of an algebraic number of degree at least three, and for the steering word of $(3/2)^n$. We explain why $1/2$ is the limit of the method. All results are machine-verified in Lean 4.