diff --git a/src/Arblib.jl b/src/Arblib.jl
index 69813d45..2429830b 100644
--- a/src/Arblib.jl
+++ b/src/Arblib.jl
@@ -76,6 +76,7 @@ include("minmax.jl")
 include("rand.jl")
 include("float.jl")
 include("interval.jl")
+include("multi-argument.jl")
 
 include("ref.jl")
 include("vector.jl")
diff --git a/src/arithmetic.jl b/src/arithmetic.jl
index 8153c4ae..e51f2c70 100644
--- a/src/arithmetic.jl
+++ b/src/arithmetic.jl
@@ -32,31 +32,6 @@ for (jf, af) in [(:+, :add!), (:-, :sub!), (:*, :mul!), (:/, :div!)]
         @eval Base.$jf(x::Union{ArfOrRef,_BitInteger,Irrational}, y::ArbOrRef) = $jf(y, x)
 
         @eval Base.$jf(x::Union{ArbOrRef,_BitInteger,Irrational}, y::AcbOrRef) = $jf(y, x)
-
-        # Define more efficient multi argument versions, similar to BigFloat
-        # TODO: Now precision is determined by first two arguments
-        for T in (MagOrRef, ArfOrRef, ArbOrRef, AcbOrRef)
-            @eval function Base.$jf(a::$T, b::$T, c::$T)
-                z = $jf(a, b)
-                $af(z, z, c)
-                return z
-            end
-
-            @eval function Base.$jf(a::$T, b::$T, c::$T, d::$T)
-                z = $jf(a, b)
-                $af(z, z, c)
-                $af(z, z, d)
-                return z
-            end
-
-            @eval function Base.$jf(a::$T, b::$T, c::$T, d::$T, e::$T)
-                z = $jf(a, b)
-                $af(z, z, c)
-                $af(z, z, d)
-                $af(z, z, e)
-                return z
-            end
-        end
     else
         @eval function Base.$jf(x::Irrational, y::Union{ArbOrRef,AcbOrRef})
             z = zero(y)
diff --git a/src/minmax.jl b/src/minmax.jl
index 003c182b..aec6e5eb 100644
--- a/src/minmax.jl
+++ b/src/minmax.jl
@@ -8,25 +8,6 @@ for T in (ArfOrRef, ArbOrRef)
     @eval Base.max(x::$T, y::$T) =
         Arblib.max!($(_nonreftype(T))(prec = _precision(x, y)), x, y)
     @eval Base.minmax(x::$T, y::$T) = (min(x, y), max(x, y))
-
-    # Define more efficient multi argument versions, similar to + and *
-    # TODO: Now precision is determined by first two arguments
-    for (f, f!) in ((:min, :min!), (:max, :max!))
-        @eval function Base.$f(a::$T, b::$T, c::$T)
-            z = $f(a, b)
-            return $f!(z, z, c)
-        end
-
-        @eval function Base.$f(a::$T, b::$T, c::$T, d::$T)
-            z = $f(a, b)
-            return $f!(z, $f!(z, z, c), d)
-        end
-
-        @eval function Base.$f(a::$T, b::$T, c::$T, d::$T, e::$T)
-            z = $f(a, b)
-            return $f!(z, $f!(z, $f!(z, z, c), d), e)
-        end
-    end
 end
 
 ### minimum and maximum
diff --git a/src/multi-argument.jl b/src/multi-argument.jl
new file mode 100644
index 00000000..d02f858c
--- /dev/null
+++ b/src/multi-argument.jl
@@ -0,0 +1,61 @@
+# Contains implementation of multi-argument versions of +, *, min and max
+
+for (jf, af) in [(:+, :add!), (:*, :mul!), (:min, :min!), (:max, :max!)]
+    @eval function Base.$jf(a::MagOrRef, b::MagOrRef, c::MagOrRef)
+        res = Mag()
+        $af(res, a, b)
+        $af(res, res, c)
+        return res
+    end
+
+    @eval function Base.$jf(a::MagOrRef, b::MagOrRef, c::MagOrRef, d::MagOrRef)
+        res = Mag()
+        $af(res, a, b)
+        $af(res, res, c)
+        $af(res, res, d)
+        return res
+    end
+
+    @eval function Base.$jf(a::MagOrRef, b::MagOrRef, c::MagOrRef, d::MagOrRef, e::MagOrRef)
+        res = Mag()
+        $af(res, a, b)
+        $af(res, res, c)
+        $af(res, res, d)
+        $af(res, res, e)
+        return res
+    end
+end
+
+for T in (ArfOrRef, ArbOrRef, AcbOrRef)
+    @eval @inline _precision(x::$T, y::$T, z::$T, rest::Vararg{S}) where {S<:$T} =
+        max(precision(x), _precision(y, z, rest...))
+
+    for (jf, af) in [(:+, :add!), (:*, :mul!), (:min, :min!), (:max, :max!)]
+        T == AcbOrRef && jf == :min && continue
+        T == AcbOrRef && jf == :max && continue
+
+        @eval function Base.$jf(a::$T, b::$T, c::$T)
+            res = $(_nonreftype(T))(prec = _precision(a, b, c))
+            $af(res, a, b)
+            $af(res, res, c)
+            return res
+        end
+
+        @eval function Base.$jf(a::$T, b::$T, c::$T, d::$T)
+            res = $(_nonreftype(T))(prec = _precision(a, b, c, d))
+            $af(res, a, b)
+            $af(res, res, c)
+            $af(res, res, d)
+            return res
+        end
+
+        @eval function Base.$jf(a::$T, b::$T, c::$T, d::$T, e::$T)
+            res = $(_nonreftype(T))(prec = _precision(a, b, c, d, e))
+            $af(res, a, b)
+            $af(res, res, c)
+            $af(res, res, d)
+            $af(res, res, e)
+            return res
+        end
+    end
+end
diff --git a/test/arithmetic.jl b/test/arithmetic.jl
index 1fc64d01..01f99168 100644
--- a/test/arithmetic.jl
+++ b/test/arithmetic.jl
@@ -13,13 +13,6 @@
 
         @test Mag(1 / 4) <= inv(Mag(4)) <= Mag(1 / 3)
 
-        @test Mag(6) <= +(Mag.((1, 2, 3))...) <= Mag(7)
-        @test Mag(10) <= +(Mag.((1, 2, 3, 4))...) <= Mag(11)
-        @test Mag(15) <= +(Mag.((1, 2, 3, 4, 5))...) <= Mag(16)
-        @test Mag(6) <= *(Mag.((1, 2, 3))...) <= Mag(7)
-        @test Mag(24) <= *(Mag.((1, 2, 3, 4))...) <= Mag(25)
-        @test Mag(120) <= *(Mag.((1, 2, 3, 4, 5))...) <= Mag(121)
-
         # signbit, sign and abs
         @test !signbit(Mag(0))
         @test !signbit(Mag(2))
@@ -63,13 +56,6 @@
               UInt8(6) / Arf(2) ==
               3
 
-        @test +(Arf.((1, 2, 3))...) == 6
-        @test +(Arf.((1, 2, 3, 4))...) == 10
-        @test +(Arf.((1, 2, 3, 4, 5))...) == 15
-        @test *(Arf.((1, 2, 3))...) == 6
-        @test *(Arf.((1, 2, 3, 4))...) == 24
-        @test *(Arf.((1, 2, 3, 4, 5))...) == 120
-
         # fma and muladd
         @test fma(Arf(2), Arf(3), Arf(4)) == muladd(Arf(2), Arf(3), Arf(4)) == 10
 
@@ -100,13 +86,6 @@
         @test T(2) * T(3) == T(2) * 3 == 3 * T(2) == T(2) * UInt(3) == UInt(3) * T(2) == 6
         @test T(6) / T(2) == T(6) / 2 == T(6) / UInt(2) == 3
 
-        @test +(T.((1, 2, 3))...) == 6
-        @test +(T.((1, 2, 3, 4))...) == 10
-        @test +(T.((1, 2, 3, 4, 5))...) == 15
-        @test *(T.((1, 2, 3))...) == 6
-        @test *(T.((1, 2, 3, 4))...) == 24
-        @test *(T.((1, 2, 3, 4, 5))...) == 120
-
         # ^
         @test Base.literal_pow(^, T(2), Val(-2)) ==
               T(2)^-2 ==
diff --git a/test/minmax.jl b/test/minmax.jl
index e392eadc..9e250774 100644
--- a/test/minmax.jl
+++ b/test/minmax.jl
@@ -3,32 +3,6 @@
         @test min(T(1), T(2)) == T(1)
         @test max(T(1), T(2)) == T(2)
         @test minmax(T(1), T(2)) == minmax(T(2), T(1)) == (T(1), T(2))
-
-        @test min(T.((1, 2, 2))...) == T(1)
-        @test min(T.((1, 1, 2))...) == T(1)
-        @test min(T.((2, 2, 1))...) == T(1)
-        @test min(T.((1, 2, 2, 2))...) == T(1)
-        @test min(T.((1, 1, 2, 2))...) == T(1)
-        @test min(T.((2, 2, 1, 2))...) == T(1)
-        @test min(T.((2, 2, 2, 1))...) == T(1)
-        @test min(T.((1, 2, 2, 2, 2))...) == T(1)
-        @test min(T.((1, 1, 2, 2, 2))...) == T(1)
-        @test min(T.((2, 2, 1, 2, 2))...) == T(1)
-        @test min(T.((2, 2, 2, 1, 2))...) == T(1)
-        @test min(T.((2, 2, 2, 2, 1))...) == T(1)
-
-        @test max(T.((2, 1, 1))...) == T(2)
-        @test max(T.((2, 2, 1))...) == T(2)
-        @test max(T.((1, 1, 2))...) == T(2)
-        @test max(T.((2, 1, 1, 1))...) == T(2)
-        @test max(T.((2, 2, 1, 1))...) == T(2)
-        @test max(T.((1, 1, 2, 1))...) == T(2)
-        @test max(T.((1, 1, 1, 2))...) == T(2)
-        @test max(T.((2, 1, 1, 1, 1))...) == T(2)
-        @test max(T.((2, 2, 1, 1, 1))...) == T(2)
-        @test max(T.((1, 1, 2, 1, 1))...) == T(2)
-        @test max(T.((1, 1, 1, 2, 1))...) == T(2)
-        @test max(T.((1, 1, 1, 1, 2))...) == T(2)
     end
 
     @testset "Arb - specific" begin
diff --git a/test/multi-argument.jl b/test/multi-argument.jl
new file mode 100644
index 00000000..6429093b
--- /dev/null
+++ b/test/multi-argument.jl
@@ -0,0 +1,49 @@
+@testset "Multi-argument" begin
+    @testset "Mag + and *" begin
+        @test Mag(6) <= +(Mag.((1, 2, 3))...) <= Mag(7)
+        @test Mag(10) <= +(Mag.((1, 2, 3, 4))...) <= Mag(11)
+        @test Mag(15) <= +(Mag.((1, 2, 3, 4, 5))...) <= Mag(16)
+
+        @test Mag(6) <= *(Mag.((1, 2, 3))...) <= Mag(7)
+        @test Mag(24) <= *(Mag.((1, 2, 3, 4))...) <= Mag(25)
+        @test Mag(120) <= *(Mag.((1, 2, 3, 4, 5))...) <= Mag(121)
+    end
+
+    @testset "$T + and *" for T in [Arf, Arb, Acb]
+        @test +(T.((1, 2, 3))...) == 6
+        @test +(T.((1, 2, 3, 4))...) == 10
+        @test +(T.((1, 2, 3, 4, 5))...) == 15
+
+        @test *(T.((1, 2, 3))...) == 6
+        @test *(T.((1, 2, 3, 4))...) == 24
+        @test *(T.((1, 2, 3, 4, 5))...) == 120
+    end
+
+    @testset "$T min and max" for T in [Mag, Arf, Arb]
+        @test min(T.((1, 2, 2))...) == T(1)
+        @test min(T.((1, 1, 2))...) == T(1)
+        @test min(T.((2, 2, 1))...) == T(1)
+        @test min(T.((1, 2, 2, 2))...) == T(1)
+        @test min(T.((1, 1, 2, 2))...) == T(1)
+        @test min(T.((2, 2, 1, 2))...) == T(1)
+        @test min(T.((2, 2, 2, 1))...) == T(1)
+        @test min(T.((1, 2, 2, 2, 2))...) == T(1)
+        @test min(T.((1, 1, 2, 2, 2))...) == T(1)
+        @test min(T.((2, 2, 1, 2, 2))...) == T(1)
+        @test min(T.((2, 2, 2, 1, 2))...) == T(1)
+        @test min(T.((2, 2, 2, 2, 1))...) == T(1)
+
+        @test max(T.((2, 1, 1))...) == T(2)
+        @test max(T.((2, 2, 1))...) == T(2)
+        @test max(T.((1, 1, 2))...) == T(2)
+        @test max(T.((2, 1, 1, 1))...) == T(2)
+        @test max(T.((2, 2, 1, 1))...) == T(2)
+        @test max(T.((1, 1, 2, 1))...) == T(2)
+        @test max(T.((1, 1, 1, 2))...) == T(2)
+        @test max(T.((2, 1, 1, 1, 1))...) == T(2)
+        @test max(T.((2, 2, 1, 1, 1))...) == T(2)
+        @test max(T.((1, 1, 2, 1, 1))...) == T(2)
+        @test max(T.((1, 1, 1, 2, 1))...) == T(2)
+        @test max(T.((1, 1, 1, 1, 2))...) == T(2)
+    end
+end
diff --git a/test/runtests.jl b/test/runtests.jl
index c1d91b13..151d9273 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -23,6 +23,7 @@ using Arblib, Test, LinearAlgebra, Random, Serialization, SpecialFunctions
     include("rand.jl")
     include("float.jl")
     include("interval.jl")
+    include("multi-argument.jl")
     include("vector.jl")
     include("matrix.jl")
     include("eigen.jl")