NAG Library Manual, Mark 30.2
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NAG AD Library Introduction
Example description

 E04FC_T2W_F Example Program Results

 Sum of squares =       0.0082
 Solution point =       0.0824      1.1330      2.3437
 Estim gradient =   -1.607E-09  -7.436E-11   6.130E-10
                     (machine dependent)
 Residuals:
    -5.9E-03    -2.7E-04     2.7E-04
     6.5E-03    -8.2E-04    -1.3E-03
    -4.5E-03    -2.0E-02     8.2E-02
    -1.8E-02    -1.5E-02    -1.5E-02
    -1.1E-02    -4.2E-03     6.8E-03

  Derivatives calculated: Second order tangents
  Computational mode    : algorithmic

  Derivatives:

   sum of squares w.r.t., d^2f/dy(j)^2
     1.8E+00     1.6E+00     1.5E+00
     1.5E+00     1.7E+00     1.8E+00
     1.8E+00     1.6E+00     1.7E+00
     1.7E+00     1.7E+00     1.7E+00
     1.8E+00     1.7E+00     3.2E-01

   d^2x(1)/dy(j)^2:
    -2.0E-01    -5.9E-01    -2.1E-01
     3.1E-01     4.5E-01     2.0E-01
    -1.1E-01     4.3E-02     4.1E-02
     3.8E-02     3.5E-02     2.9E-02
     2.2E-02     8.6E-03    -9.4E-03

   d^2x(2)/dy(j)^2:
    -6.1E+00    -8.2E+00     1.2E+01
     2.6E+01     2.3E+01     8.1E+00
    -2.6E+00     1.4E+01     1.3E+01
     1.1E+01     9.8E+00     7.7E+00
     4.7E+00     9.2E-01     7.2E+00

   d^2x(3)/dy(j)^2:
     5.8E+00     7.5E+00    -1.2E+01
    -2.6E+01    -2.3E+01    -7.9E+00
     2.4E+00    -1.3E+01    -1.3E+01
    -1.1E+01    -9.8E+00    -7.7E+00
    -4.7E+00    -8.9E-01    -6.8E+00