diff --git a/unsupported/Eigen/CXX11/src/Tensor/TensorFunctors.h b/unsupported/Eigen/CXX11/src/Tensor/TensorFunctors.h
index c674fcfe1..3dd32e9d1 100644
--- a/unsupported/Eigen/CXX11/src/Tensor/TensorFunctors.h
+++ b/unsupported/Eigen/CXX11/src/Tensor/TensorFunctors.h
@@ -87,7 +87,7 @@ struct functor_traits<scalar_sigmoid_op<T> > {
 // Standard reduction functors
 template <typename T> struct SumReducer
 {
-  static const bool PacketAccess = true;
+  static const bool PacketAccess = packet_traits<T>::HasAdd;
   static const bool IsStateful = false;
 
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void reduce(const T t, T* accum) const {
@@ -121,7 +121,7 @@ template <typename T> struct SumReducer
 
 template <typename T> struct MeanReducer
 {
-  static const bool PacketAccess = !NumTraits<T>::IsInteger;
+  static const bool PacketAccess = packet_traits<T>::HasAdd && !NumTraits<T>::IsInteger;
   static const bool IsStateful = true;
 
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
@@ -164,7 +164,7 @@ template <typename T> struct MeanReducer
 
 template <typename T> struct MaxReducer
 {
-  static const bool PacketAccess = true;
+  static const bool PacketAccess = packet_traits<T>::HasMax;
   static const bool IsStateful = false;
 
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void reduce(const T t, T* accum) const {
@@ -197,7 +197,7 @@ template <typename T> struct MaxReducer
 
 template <typename T> struct MinReducer
 {
-  static const bool PacketAccess = true;
+  static const bool PacketAccess = packet_traits<T>::HasMin;
   static const bool IsStateful = false;
 
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void reduce(const T t, T* accum) const {
@@ -231,7 +231,7 @@ template <typename T> struct MinReducer
 
 template <typename T> struct ProdReducer
 {
-  static const bool PacketAccess = true;
+  static const bool PacketAccess = packet_traits<T>::HasMul;
   static const bool IsStateful = false;
 
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void reduce(const T t, T* accum) const {