diff --git a/src/layers/stateless.jl b/src/layers/stateless.jl
index c8e1b793..13e165f0 100644
--- a/src/layers/stateless.jl
+++ b/src/layers/stateless.jl
@@ -264,14 +264,19 @@ function flatten(x::AbstractArray)
 end
 
 """
-    xlogx(x::Real)
+    xlogx(x)
 Return `x * log(x)` for `x ≥ 0`, handling `x = 0` by taking the downward limit.
 """
-xlogx(x::Real) = x > zero(x) ? x * log(x) : zero(log(x))
+function xlogx(x)
+  result = x * log(x)
+  ifelse(x > zero(x), result, zero(result))
+end
 
 """
-    xlogy(x::Real, y::Real)
+    xlogy(x, y)
 Return `x * log(y)` for `y > 0` with correct limit at `x = 0`.
 """
-xlogy(x::T, y::T) where {T<:Real} = x > zero(T) ? x * log(y) : zero(log(x))
-xlogy(x::Real, y::Real) = xlogy(promote(x, y)...)
+function xlogy(x, y)
+  result = x * log(y)
+  ifelse(x > zero(x), result, zero(result))
+end
diff --git a/test/layers/stateless.jl b/test/layers/stateless.jl
index 4e66c39f..bc83d27b 100644
--- a/test/layers/stateless.jl
+++ b/test/layers/stateless.jl
@@ -8,9 +8,12 @@ const ϵ = 1e-7
 @testset "xlogx & xlogy" begin
     @test iszero(xlogx(0))
     @test xlogx(2) ≈ 2.0 * log(2.0)
-
+    @inferred xlogx(2)
+    @inferred xlogx(0)
     @test iszero(xlogy(0, 1))
     @test xlogy(2, 3) ≈ 2.0 * log(3.0)
+    @inferred xlogy(2, 3)
+    @inferred xlogy(0, 1)
 end
 
 @testset "losses" begin