diff --git a/.github/workflows/CI.yml b/.github/workflows/CI.yml
index d2cd299..a435a82 100644
--- a/.github/workflows/CI.yml
+++ b/.github/workflows/CI.yml
@@ -20,7 +20,7 @@ jobs:
           - macOS-latest
           - windows-latest
         arch:
-          - x64
+          - default
           - x86
         exclude:
           # Test 32-bit only on Linux
@@ -28,18 +28,24 @@ jobs:
             arch: x86
           - os: windows-latest
             arch: x86
+          # No native Apple Silicon binaries for Julia 1.0, test it on an Intel runner instead
+          - os: macOS-latest
+            version: "1.0"
         include:
           # Add a 1.5 job because that's what Invenia actually uses
           - os: ubuntu-latest
             version: "1.5"
-            arch: x64
+            arch: default
+          - os: macos-15-intel
+            version: "1.0"
+            arch: default
     steps:
-      - uses: actions/checkout@v2
-      - uses: julia-actions/setup-julia@v1
+      - uses: actions/checkout@v7
+      - uses: julia-actions/setup-julia@v3
         with:
           version: ${{ matrix.version }}
           arch: ${{ matrix.arch }}
-      - uses: actions/cache@v2
+      - uses: actions/cache@v6
         env:
           cache-name: cache-artifacts
         with:
@@ -50,19 +56,19 @@ jobs:
             ${{ runner.os }}-${{ matrix.arch }}-test-
             ${{ runner.os }}-${{ matrix.arch }}-
             ${{ runner.os }}-
-      - uses: julia-actions/julia-buildpkg@latest
-      - uses: julia-actions/julia-runtest@latest
+      - uses: julia-actions/julia-buildpkg@v1
+      - uses: julia-actions/julia-runtest@v1
       - uses: julia-actions/julia-processcoverage@v1
-      - uses: codecov/codecov-action@v1
+      - uses: codecov/codecov-action@v7
         with:
-          file: lcov.info
+          files: lcov.info
 
   docs:
     name: Documentation
     runs-on: ubuntu-latest
     steps:
-      - uses: actions/checkout@v2
-      - uses: julia-actions/setup-julia@v1
+      - uses: actions/checkout@v7
+      - uses: julia-actions/setup-julia@v3
         with:
           version: '1.6'
       - run: |
diff --git a/.github/workflows/IntegrationTest.yml b/.github/workflows/IntegrationTest.yml
index 139a131..fbf1372 100644
--- a/.github/workflows/IntegrationTest.yml
+++ b/.github/workflows/IntegrationTest.yml
@@ -18,14 +18,13 @@ jobs:
           # - {user: Invenia, repo: Nabla.jl}
 
     steps:
-      - uses: actions/checkout@v2
-      - uses: julia-actions/setup-julia@v1
+      - uses: actions/checkout@v7
+      - uses: julia-actions/setup-julia@v3
         with:
           version: ${{ matrix.julia-version }}
-          arch: x64
-      - uses: julia-actions/julia-buildpkg@latest
+      - uses: julia-actions/julia-buildpkg@v1
       - name: Clone Downstream
-        uses: actions/checkout@v2
+        uses: actions/checkout@v7
         with:
           repository: ${{ matrix.package.user }}/${{ matrix.package.repo }}
           path: downstream
diff --git a/.github/workflows/JuliaNightly.yml b/.github/workflows/JuliaNightly.yml
index 951a1a2..d5af79a 100644
--- a/.github/workflows/JuliaNightly.yml
+++ b/.github/workflows/JuliaNightly.yml
@@ -12,12 +12,11 @@ jobs:
     name: Julia Nightly - Ubuntu - x64
     runs-on: ubuntu-latest
     steps:
-      - uses: actions/checkout@v2
-      - uses: julia-actions/setup-julia@v1
+      - uses: actions/checkout@v7
+      - uses: julia-actions/setup-julia@v3
         with:
           version: nightly
-          arch: x64
-      - uses: actions/cache@v2
+      - uses: actions/cache@v6
         env:
           cache-name: julia-nightly-cache-artifacts
         with:
@@ -25,9 +24,9 @@ jobs:
           key: ${{ env.cache-name }}-${{ hashFiles('**/Project.toml') }}
           restore-keys: |
             ${{ env.cache-name }}-
-      - uses: julia-actions/julia-buildpkg@latest
-      - uses: julia-actions/julia-runtest@latest
+      - uses: julia-actions/julia-buildpkg@v1
+      - uses: julia-actions/julia-runtest@v1
       - uses: julia-actions/julia-processcoverage@v1
-      - uses: codecov/codecov-action@v1
+      - uses: codecov/codecov-action@v7
         with:
-          file: lcov.info
+          files: lcov.info
diff --git a/docs/src/index.md b/docs/src/index.md
index d29896f..3b60327 100644
--- a/docs/src/index.md
+++ b/docs/src/index.md
@@ -48,6 +48,12 @@ Packages like [ExprTools.jl](https://github.com/invenia/ExprTools.jl) can be hel
 Its generally fairly simple, though can become complex if you need to handle complicated type-constraints.
 Examples are shown below.
 
+Make sure every generated overload requires at least one argument of your AD's type.
+An overload such as `(op::typeof(+))(::Vararg{Union{Dual,Float64},2})` also matches
+`+(::Float64, ::Float64)`, which is type piracy and is ambiguous with Base's methods.
+One way to avoid this is to define one method per position of the first argument of your
+AD's type, as the examples do.
+
 The hook is automatically triggered whenever a package is loaded.
 It can also be triggers manually using `refresh_rules`(@ref).
 This is useful for example if new rules are define in the REPL, or if a package defining rules is modified.
diff --git a/test/demos/forwarddiffzero.jl b/test/demos/forwarddiffzero.jl
index ae93459..362f37d 100644
--- a/test/demos/forwarddiffzero.jl
+++ b/test/demos/forwarddiffzero.jl
@@ -40,17 +40,25 @@ function define_dual_overload(sig)
     all(argT isa Type && Float64 <: argT for argT in argTs) || return  # only handling purely Float64 ops.
 
     N = length(sig.parameters) - 1  # skip the op
-    fdef = quote
-        # we use the function call overloading form as it lets us avoid namespacing issues
-        # as we can directly interpolate the function type into to the AST.
-        function (op::$opT)(dual_args::Vararg{Union{Dual, Float64}, $N}; kwargs...)
-            ȧrgs = (NoTangent(),  partial.(dual_args)...)
-            args = (op, primal.(dual_args)...)
-            y, ẏ = frule(ȧrgs, args...; kwargs...)
-            return Dual(y, ẏ)  # if y, ẏ are not `Float64` this will error.
+    names = [Symbol(:x, j) for j in 1:N]
+    # Define one method per position of the first `Dual` argument, so that every method
+    # requires at least one `Dual` and we never overload `op` for purely `Float64` arguments
+    # (which would be type piracy). In particular, nothing is defined if `op` takes no arguments.
+    for i in 1:N
+        Ts = [fill(Float64, i - 1); Dual; fill(Union{Dual, Float64}, N - i)]
+        fdef = quote
+            # we use the function call overloading form as it lets us avoid namespacing issues
+            # as we can directly interpolate the function type into the AST.
+            function (op::$opT)($(map((x, T) -> :($x::$T), names, Ts)...); kwargs...)
+                dual_args = ($(names...),)
+                ȧrgs = (NoTangent(),  partial.(dual_args)...)
+                args = (op, primal.(dual_args)...)
+                y, ẏ = frule(ȧrgs, args...; kwargs...)
+                return Dual(y, ẏ)  # if y, ẏ are not `Float64` this will error.
+            end
         end
+        eval(fdef)
     end
-    eval(fdef)
 end
 
 # !Important!: Attach the define function to the `on_new_rule` hook
diff --git a/test/demos/reversediffzero.jl b/test/demos/reversediffzero.jl
index 578c6e0..b291783 100644
--- a/test/demos/reversediffzero.jl
+++ b/test/demos/reversediffzero.jl
@@ -69,22 +69,30 @@ function define_tracked_overload(sig)
     all(argT isa Type && Float64 <: argT for argT in argTs) || return # only handling purely Float64 ops.
 
     N = length(sig.parameters) - 1  # skip the op
-    fdef = quote
-        # we use the function call overloading form as it lets us avoid namespacing issues
-        # as we can directly interpolate the function type into to the AST.
-        function (op::$opT)(tracked_args::Vararg{Union{Tracked, Float64}, $N}; kwargs...)
-            args = (op, primal.(tracked_args)...)
-            y, y_pullback = rrule(args...; kwargs...)
-            the_tape = get_tape(tracked_args)
-            y_tracked = Tracked(y, the_tape) do ȳ
-                # pull this partial back and propagate it to the input's partial store
-                _, ārgs = Iterators.peel(y_pullback(ȳ))
-                accum!.(tracked_args, ārgs)
+    names = [Symbol(:x, j) for j in 1:N]
+    # Define one method per position of the first `Tracked` argument, so that every method
+    # requires at least one `Tracked` and we never overload `op` for purely `Float64` arguments
+    # (which would be type piracy). In particular, nothing is defined if `op` takes no arguments.
+    for i in 1:N
+        Ts = [fill(Float64, i - 1); Tracked; fill(Union{Tracked, Float64}, N - i)]
+        fdef = quote
+            # we use the function call overloading form as it lets us avoid namespacing issues
+            # as we can directly interpolate the function type into the AST.
+            function (op::$opT)($(map((x, T) -> :($x::$T), names, Ts)...); kwargs...)
+                tracked_args = ($(names...),)
+                args = (op, primal.(tracked_args)...)
+                y, y_pullback = rrule(args...; kwargs...)
+                the_tape = get_tape(tracked_args)
+                y_tracked = Tracked(y, the_tape) do ȳ
+                    # pull this partial back and propagate it to the input's partial store
+                    _, ārgs = Iterators.peel(y_pullback(ȳ))
+                    accum!.(tracked_args, ārgs)
+                end
+                return y_tracked
             end
-            return y_tracked
         end
+        eval(fdef)
     end
-    eval(fdef)
 end
 
 # !Important!: Attach the define function to the `on_new_rule` hook