diff --git a/Project.toml b/Project.toml
index cccf987..348eedb 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,7 +1,7 @@
 name = "NullBroadcasts"
 uuid = "0d71be07-595a-4f89-9529-4065a4ab43a6"
 authors = ["CliMA Contributors <clima-software@caltech.edu>"]
-version = "0.1.0"
+version = "0.1.1"
 
 [compat]
 Aqua = "0.8"
diff --git a/src/NullBroadcasts.jl b/src/NullBroadcasts.jl
index 7946945..496146c 100644
--- a/src/NullBroadcasts.jl
+++ b/src/NullBroadcasts.jl
@@ -46,18 +46,21 @@ broadcasted_sum(args) =
 Base.broadcasted(::NullBroadcasted, ::typeof(+), args...) =
     broadcasted_sum(filter(arg -> !(arg isa NullBroadcasted), args))
 
+#! format: off
+
 Base.broadcasted(op::typeof(-), ::NullBroadcasted, arg) = Base.broadcasted(op, arg)
-Base.broadcasted(op::typeof(-), arg, ::NullBroadcasted) =
-    Base.broadcasted(Base.identity, arg)
 Base.broadcasted(op::typeof(-), a::NullBroadcasted) = NullBroadcasted()
-Base.broadcasted(op::typeof(-), a::NullBroadcasted, ::NullBroadcasted) =
-    Base.broadcasted(op, a)
+Base.broadcasted(op::typeof(-), a::NullBroadcasted, ::NullBroadcasted) = Base.broadcasted(op, a)
+# Specialize on identity cases:
+Base.broadcasted(::typeof(-), a, ::NullBroadcasted) = a
+
+Base.broadcasted(op::typeof(+), ::NullBroadcasted, a, args...) = Base.broadcasted(op, a, args...)
+Base.broadcasted(op::typeof(+), arg, ::NullBroadcasted, a, args...) = Base.broadcasted(op, arg, a, args...)
+Base.broadcasted(op::typeof(+), a::NullBroadcasted, ::NullBroadcasted, args...) = Base.broadcasted(op, a, args...)
 
-Base.broadcasted(op::typeof(+), ::NullBroadcasted, args...) = Base.broadcasted(op, args...)
-Base.broadcasted(op::typeof(+), arg, ::NullBroadcasted, args...) =
-    Base.broadcasted(op, arg, args...)
-Base.broadcasted(op::typeof(+), a::NullBroadcasted, ::NullBroadcasted, args...) =
-    Base.broadcasted(op, a, args...)
+# Specialize on identity cases:
+Base.broadcasted(::typeof(+), ::NullBroadcasted, a) = a
+Base.broadcasted(::typeof(+), a, ::NullBroadcasted) = a
 
 Base.broadcasted(op::typeof(*), ::NullBroadcasted, args...) = NullBroadcasted()
 Base.broadcasted(op::typeof(*), arg, ::NullBroadcasted) = NullBroadcasted()
@@ -68,6 +71,8 @@ Base.broadcasted(op::typeof(/), ::NullBroadcasted, ::NullBroadcasted) = NullBroa
 
 Base.broadcasted(op::typeof(identity), a::NullBroadcasted) = a
 
+#! format: on
+
 function skip_materialize(dest, bc::Base.Broadcast.Broadcasted)
     if typeof(bc.f) <: typeof(+) || typeof(bc.f) <: typeof(-)
         if length(bc.args) == 2 &&
diff --git a/test/runtests.jl b/test/runtests.jl
index 391677a..165576c 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -12,17 +12,16 @@ import Base.Broadcast: instantiate, materialize, Broadcasted, DefaultArrayStyle
 @testset "NullBroadcasted" begin
     x = [1]
     a = NullBroadcasted()
-    @test typeof(lazy.(x .+ a)) <: Broadcasted{
+    @test typeof(lazy.(x .* 1 .+ a)) <: Broadcasted{
         DefaultArrayStyle{1},
         Tuple{Base.OneTo{Int64}},
-        typeof(+),
-        Tuple{Vector{Int64}},
+        typeof(*),
+        Tuple{Vector{Int64}, Int64}
     }
-    @test typeof(lazy.(a .+ x)) <: Broadcasted{
+    @test typeof(lazy.(a .+ x .* 1)) <: Broadcasted{
         DefaultArrayStyle{1},
         Tuple{Base.OneTo{Int64}},
-        typeof(+),
-        Tuple{Vector{Int64}},
+        typeof(*), Tuple{Vector{Int64}, Int64}
     }
     @test lazy.(a .* x) isa NullBroadcasted
     @test lazy.(a ./ x) isa NullBroadcasted