diff --git a/src/primitive.jl b/src/primitive.jl
index b5b2e6b..caff022 100644
--- a/src/primitive.jl
+++ b/src/primitive.jl
@@ -123,12 +123,6 @@ end
     ex = :($ex; TaylorScalar($([Symbol('v', i) for i in 1:N]...)))
     return :(@inbounds $ex)
 end
-@inline function *(a::TaylorScalar{T1, N}, b::TaylorScalar{T2, N}) where {T1, T2, N}
-    *(promote(a, b)...)
-end
-@inline function /(a::TaylorScalar{T1, N}, b::TaylorScalar{T2, N}) where {T1, T2, N}
-    *(promote(a, b)...)
-end
 
 for R in (Integer, Real)
     @eval @generated function ^(t::TaylorScalar{T, N}, n::S) where {S <: $R, T, N}
diff --git a/src/scalar.jl b/src/scalar.jl
index 1f3413a..ca523fb 100644
--- a/src/scalar.jl
+++ b/src/scalar.jl
@@ -89,10 +89,6 @@ function promote_rule(::Type{TaylorScalar{T, N}},
         ::Type{S}) where {T, S, N}
     TaylorScalar{promote_type(T, S), N}
 end
-function promote_rule(::Type{TaylorScalar{T1, N}},
-                      ::Type{TaylorScalar{T2, N}}) where {T1, T2, N}
-    TaylorScalar{promote_type(T1, T2), N}
-end
 
 function (::Type{F})(x::TaylorScalar{T, N}) where {T, N, F <: AbstractFloat}
     F(primal(x))