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lines 7-35 of file: example/general/reverse_three.cpp
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{xrst_begin reverse_three.cpp}

Third Order Reverse Mode: Example and Test
##########################################

Taylor Coefficients
*******************

.. math::
   :nowrap:

   \begin{eqnarray}
      X(t) & = & x^{(0)} + x^{(1)} t + x^{(2)} t^2
      \\
      X^{(1)} (t) & = &  x^{(1)} + 2 x^{(2)} t
      \\
      X^{(2)} (t) & = &   2 x^{(2)}
   \end{eqnarray}

Thus, we need to be careful to properly account for the fact that
:math:`X^{(2)} (0) = 2 x^{(2)}`
(and similarly :math:`Y^{(2)} (0) = 2 y^{(2)}`).

{xrst_literal
   // BEGIN C++
   // END C++
}

{xrst_end reverse_three.cpp}