You can have the result of * not be the actual multiplication, but a MultiplicationExpression. Then, the result of MultiplicationExpression + Matrix is a Multip

You can have the result of * not be the actual multiplication, but a MultiplicationExpression. Then, the result of MultiplicationExpression + Matrix is a MultiplyAddExpression. Finally you overload the dereference operator of MultiplyAddExpression to actually run std::fma. With some template magic, this can all even be done at compile time. You can look at boost::phoenix and boost::qi to see this taken to a huge extreme, overriding all of the C++ operators to write parsers using regex-like syntax (e.g. `parser = *a | +b;` generates a parser which recognizes "" or "aaa" or "bb", equivalent to the regex "a*|b+").