diff --git a/src/auxiliary/deprecate.jl b/src/auxiliary/deprecate.jl
index 5853cad01..a37c40531 100644
--- a/src/auxiliary/deprecate.jl
+++ b/src/auxiliary/deprecate.jl
@@ -56,7 +56,8 @@ Base.@deprecate insertunit(P::ProductSpace, args...; kwargs...) insertleftunit(a
 # truncations
 const TruncationScheme = MatrixAlgebraKit.TruncationStrategy
 @deprecate truncdim(d::Int) truncrank(d)
-@deprecate truncbelow(ϵ::Real) trunctol(ϵ)
+@deprecate truncbelow(ϵ::Real) trunctol(; atol = ϵ)
+@deprecate truncerr(ϵ::Real) truncerror(ϵ)
 
 # factorizations
 # --------------
@@ -131,7 +132,7 @@ function rightnull(t::AbstractTensorMap, p::Index2Tuple; kwargs...)
     return rightnull!(permutedcopy_oftype(t, factorisation_scalartype(rightnull, t), p); kwargs...)
 end
 function leftnull!(t::AbstractTensorMap; kwargs...)
-    Base.depwarn("`left_null!` is deprecated, use `left_null!` instead", :leftnull!)
+    Base.depwarn("`leftnull!` is deprecated, use `left_null!` instead", :leftnull!)
     haskey(kwargs, :alg) || return left_null!(t; kwargs...)
     alg = kwargs[:alg]
     kind = _kindof(alg)
diff --git a/src/factorizations/truncation.jl b/src/factorizations/truncation.jl
index a2faaf50a..5799ff3c6 100644
--- a/src/factorizations/truncation.jl
+++ b/src/factorizations/truncation.jl
@@ -165,14 +165,13 @@ function MAK.findtruncated_svd(values::SectorDict, strategy::TruncationByOrder)
     I = keytype(values)
     truncdim = SectorDict{I, Int}(c => length(d) for (c, d) in values)
     totaldim = sum(dim(c) * d for (c, d) in truncdim; init = 0)
-    while true
+    while totaldim > strategy.howmany
         next = _findnexttruncvalue(values, truncdim; strategy.by, strategy.rev)
         isnothing(next) && break
         _, cmin = next
         truncdim[cmin] -= 1
         totaldim -= dim(cmin)
         truncdim[cmin] == 0 && delete!(truncdim, cmin)
-        totaldim <= strategy.howmany && break
     end
     return SectorDict(c => Base.OneTo(d) for (c, d) in truncdim)
 end