NAG Library Manual, Mark 27.2
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NAG AD Library Introduction
Example description

 E04FC_A1W_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: First order adjoints
  Computational mode    : algorithmic

  Derivatives:

   sum of squares w.r.t y:
     1.2E-02     5.3E-04    -5.5E-04
    -1.3E-02     1.6E-03     2.6E-03
     8.9E-03     4.0E-02    -1.6E-01
     3.6E-02     3.0E-02     2.9E-02
     2.2E-02     8.4E-03    -1.4E-02

   dx(1)/dy:
     6.6E-02    -1.9E-02    -5.0E-02
    -4.2E-02    -5.9E-03     5.0E-02
     1.2E-01     2.0E-01     1.9E-01
     1.8E-01     1.7E-01     1.5E-01
     1.1E-01     4.4E-02    -1.6E-01

   dx(2)/dy:
    -1.0E+00    -3.8E+00    -4.7E+00
    -4.4E+00    -3.2E+00    -1.3E+00
     1.1E+00     3.8E+00     3.6E+00
     3.5E+00     3.2E+00     2.8E+00
     2.2E+00     9.7E-01    -2.8E+00

   dx(3)/dy:
     1.1E+00     3.8E+00     4.7E+00
     4.4E+00     3.2E+00     1.3E+00
    -9.4E-01    -3.5E+00    -3.4E+00
    -3.3E+00    -3.1E+00    -2.8E+00
    -2.2E+00    -1.2E+00     2.0E+00