Boeing 777 engine data set

import numpy as np
import os


def get_b777_engine():
    this_dir = os.path.split(__file__)[0]

    nt = 12 * 11 * 8
    xt = np.loadtxt(os.path.join(this_dir, "b777_engine_inputs.dat")).reshape((nt, 3))
    yt = np.loadtxt(os.path.join(this_dir, "b777_engine_outputs.dat")).reshape((nt, 2))
    dyt_dxt = np.loadtxt(os.path.join(this_dir, "b777_engine_derivs.dat")).reshape(
        (nt, 2, 3)
    )

    xlimits = np.array([[0, 0.9], [0, 15], [0, 1.0]])

    return xt, yt, dyt_dxt, xlimits


def plot_b777_engine(xt, yt, limits, interp):
    import numpy as np
    import matplotlib

    matplotlib.use("Agg")
    import matplotlib.pyplot as plt

    val_M = np.array(
        [0.0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.75, 0.8, 0.85, 0.9]
    )  # 12
    val_h = np.array(
        [0.0, 0.6096, 1.524, 3.048, 4.572, 6.096, 7.62, 9.144, 10.668, 11.8872, 13.1064]
    )  # 11
    val_t = np.array([0.05, 0.2, 0.3, 0.4, 0.6, 0.8, 0.9, 1.0])  # 8

    def get_pts(xt, yt, iy, ind_M=None, ind_h=None, ind_t=None):
        eps = 1e-5

        if ind_M is not None:
            M = val_M[ind_M]
            keep = abs(xt[:, 0] - M) < eps
            xt = xt[keep, :]
            yt = yt[keep, :]
        if ind_h is not None:
            h = val_h[ind_h]
            keep = abs(xt[:, 1] - h) < eps
            xt = xt[keep, :]
            yt = yt[keep, :]
        if ind_t is not None:
            t = val_t[ind_t]
            keep = abs(xt[:, 2] - t) < eps
            xt = xt[keep, :]
            yt = yt[keep, :]

        if ind_M is None:
            data = xt[:, 0], yt[:, iy]
        elif ind_h is None:
            data = xt[:, 1], yt[:, iy]
        elif ind_t is None:
            data = xt[:, 2], yt[:, iy]

        if iy == 0:
            data = data[0], data[1] / 1e6
        elif iy == 1:
            data = data[0], data[1] / 1e-4

        return data

    num = 100
    x = np.zeros((num, 3))
    lins_M = np.linspace(0.0, 0.9, num)
    lins_h = np.linspace(0.0, 13.1064, num)
    lins_t = np.linspace(0.05, 1.0, num)

    def get_x(ind_M=None, ind_h=None, ind_t=None):
        x = np.zeros((num, 3))
        x[:, 0] = lins_M
        x[:, 1] = lins_h
        x[:, 2] = lins_t
        if ind_M:
            x[:, 0] = val_M[ind_M]
        if ind_h:
            x[:, 1] = val_h[ind_h]
        if ind_t:
            x[:, 2] = val_t[ind_t]
        return x

    nrow = 6
    ncol = 2

    ind_M_1 = -2
    ind_M_2 = -5

    ind_t_1 = 1
    ind_t_2 = -1

    plt.close()

    # --------------------

    fig, axs = plt.subplots(6, 2, gridspec_kw={"hspace": 0.5}, figsize=(15, 25))

    axs[0, 0].set_title("M={}".format(val_M[ind_M_1]))
    axs[0, 0].set(xlabel="throttle", ylabel="thrust (x 1e6 N)")

    axs[0, 1].set_title("M={}".format(val_M[ind_M_1]))
    axs[0, 1].set(xlabel="throttle", ylabel="SFC (x 1e-3 N/N/s)")

    axs[1, 0].set_title("M={}".format(val_M[ind_M_2]))
    axs[1, 0].set(xlabel="throttle", ylabel="thrust (x 1e6 N)")

    axs[1, 1].set_title("M={}".format(val_M[ind_M_2]))
    axs[1, 1].set(xlabel="throttle", ylabel="SFC (x 1e-3 N/N/s)")

    # --------------------

    axs[2, 0].set_title("throttle={}".format(val_t[ind_t_1]))
    axs[2, 0].set(xlabel="altitude (km)", ylabel="thrust (x 1e6 N)")

    axs[2, 1].set_title("throttle={}".format(val_t[ind_t_1]))
    axs[2, 1].set(xlabel="altitude (km)", ylabel="SFC (x 1e-3 N/N/s)")

    axs[3, 0].set_title("throttle={}".format(val_t[ind_t_2]))
    axs[3, 0].set(xlabel="altitude (km)", ylabel="thrust (x 1e6 N)")

    axs[3, 1].set_title("throttle={}".format(val_t[ind_t_2]))
    axs[3, 1].set(xlabel="altitude (km)", ylabel="SFC (x 1e-3 N/N/s)")

    # --------------------

    axs[4, 0].set_title("throttle={}".format(val_t[ind_t_1]))
    axs[4, 0].set(xlabel="Mach number", ylabel="thrust (x 1e6 N)")

    axs[4, 1].set_title("throttle={}".format(val_t[ind_t_1]))
    axs[4, 1].set(xlabel="Mach number", ylabel="SFC (x 1e-3 N/N/s)")

    axs[5, 0].set_title("throttle={}".format(val_t[ind_t_2]))
    axs[5, 0].set(xlabel="Mach number", ylabel="thrust (x 1e6 N)")

    axs[5, 1].set_title("throttle={}".format(val_t[ind_t_2]))
    axs[5, 1].set(xlabel="Mach number", ylabel="SFC (x 1e-3 N/N/s)")

    ind_h_list = [0, 4, 7, 10]
    ind_h_list = [4, 7, 10]

    ind_M_list = [0, 3, 6, 11]
    ind_M_list = [3, 6, 11]

    colors = ["b", "r", "g", "c", "m"]

    # -----------------------------------------------------------------------------

    # Throttle slices
    for k, ind_h in enumerate(ind_h_list):
        ind_M = ind_M_1
        x = get_x(ind_M=ind_M, ind_h=ind_h)
        y = interp.predict_values(x)

        xt_, yt_ = get_pts(xt, yt, 0, ind_M=ind_M, ind_h=ind_h)
        axs[0, 0].plot(xt_, yt_, "o" + colors[k])
        axs[0, 0].plot(lins_t, y[:, 0] / 1e6, colors[k])

        xt_, yt_ = get_pts(xt, yt, 1, ind_M=ind_M, ind_h=ind_h)
        axs[0, 1].plot(xt_, yt_, "o" + colors[k])
        axs[0, 1].plot(lins_t, y[:, 1] / 1e-4, colors[k])

        ind_M = ind_M_2
        x = get_x(ind_M=ind_M, ind_h=ind_h)
        y = interp.predict_values(x)

        xt_, yt_ = get_pts(xt, yt, 0, ind_M=ind_M, ind_h=ind_h)
        axs[1, 0].plot(xt_, yt_, "o" + colors[k])
        axs[1, 0].plot(lins_t, y[:, 0] / 1e6, colors[k])

        xt_, yt_ = get_pts(xt, yt, 1, ind_M=ind_M, ind_h=ind_h)
        axs[1, 1].plot(xt_, yt_, "o" + colors[k])
        axs[1, 1].plot(lins_t, y[:, 1] / 1e-4, colors[k])

    # -----------------------------------------------------------------------------

    # Altitude slices
    for k, ind_M in enumerate(ind_M_list):
        ind_t = ind_t_1
        x = get_x(ind_M=ind_M, ind_t=ind_t)
        y = interp.predict_values(x)

        xt_, yt_ = get_pts(xt, yt, 0, ind_M=ind_M, ind_t=ind_t)
        axs[2, 0].plot(xt_, yt_, "o" + colors[k])
        axs[2, 0].plot(lins_h, y[:, 0] / 1e6, colors[k])

        xt_, yt_ = get_pts(xt, yt, 1, ind_M=ind_M, ind_t=ind_t)
        axs[2, 1].plot(xt_, yt_, "o" + colors[k])
        axs[2, 1].plot(lins_h, y[:, 1] / 1e-4, colors[k])

        ind_t = ind_t_2
        x = get_x(ind_M=ind_M, ind_t=ind_t)
        y = interp.predict_values(x)

        xt_, yt_ = get_pts(xt, yt, 0, ind_M=ind_M, ind_t=ind_t)
        axs[3, 0].plot(xt_, yt_, "o" + colors[k])
        axs[3, 0].plot(lins_h, y[:, 0] / 1e6, colors[k])

        xt_, yt_ = get_pts(xt, yt, 1, ind_M=ind_M, ind_t=ind_t)
        axs[3, 1].plot(xt_, yt_, "o" + colors[k])
        axs[3, 1].plot(lins_h, y[:, 1] / 1e-4, colors[k])

    # -----------------------------------------------------------------------------

    # Mach number slices
    for k, ind_h in enumerate(ind_h_list):
        ind_t = ind_t_1
        x = get_x(ind_t=ind_t, ind_h=ind_h)
        y = interp.predict_values(x)

        xt_, yt_ = get_pts(xt, yt, 0, ind_h=ind_h, ind_t=ind_t)
        axs[4, 0].plot(xt_, yt_, "o" + colors[k])
        axs[4, 0].plot(lins_M, y[:, 0] / 1e6, colors[k])

        xt_, yt_ = get_pts(xt, yt, 1, ind_h=ind_h, ind_t=ind_t)
        axs[4, 1].plot(xt_, yt_, "o" + colors[k])
        axs[4, 1].plot(lins_M, y[:, 1] / 1e-4, colors[k])

        ind_t = ind_t_2
        x = get_x(ind_t=ind_t, ind_h=ind_h)
        y = interp.predict_values(x)

        xt_, yt_ = get_pts(xt, yt, 0, ind_h=ind_h, ind_t=ind_t)
        axs[5, 0].plot(xt_, yt_, "o" + colors[k])
        axs[5, 0].plot(lins_M, y[:, 0] / 1e6, colors[k])

        xt_, yt_ = get_pts(xt, yt, 1, ind_h=ind_h, ind_t=ind_t)
        axs[5, 1].plot(xt_, yt_, "o" + colors[k])
        axs[5, 1].plot(lins_M, y[:, 1] / 1e-4, colors[k])

    # -----------------------------------------------------------------------------

    for k in range(2):
        legend_entries = []
        for ind_h in ind_h_list:
            legend_entries.append("h={}".format(val_h[ind_h]))
            legend_entries.append("")

        axs[k, 0].legend(legend_entries)
        axs[k, 1].legend(legend_entries)

        axs[k + 4, 0].legend(legend_entries)
        axs[k + 4, 1].legend(legend_entries)

        legend_entries = []
        for ind_M in ind_M_list:
            legend_entries.append("M={}".format(val_M[ind_M]))
            legend_entries.append("")

        axs[k + 2, 0].legend(legend_entries)
        axs[k + 2, 1].legend(legend_entries)

    plt.show()

RMTB

from smt.surrogate_models import RMTB
from smt.examples.b777_engine.b777_engine import get_b777_engine, plot_b777_engine

xt, yt, dyt_dxt, xlimits = get_b777_engine()

interp = RMTB(
    num_ctrl_pts=15,
    xlimits=xlimits,
    nonlinear_maxiter=20,
    approx_order=2,
    energy_weight=0e-14,
    regularization_weight=0e-18,
    extrapolate=True,
)
interp.set_training_values(xt, yt)
interp.set_training_derivatives(xt, dyt_dxt[:, :, 0], 0)
interp.set_training_derivatives(xt, dyt_dxt[:, :, 1], 1)
interp.set_training_derivatives(xt, dyt_dxt[:, :, 2], 2)
interp.train()

plot_b777_engine(xt, yt, xlimits, interp)
___________________________________________________________________________

                                   RMTB
___________________________________________________________________________

 Problem size

      # training points.        : 1056

___________________________________________________________________________

 Training

   Training ...
      Pre-computing matrices ...
         Computing dof2coeff ...
         Computing dof2coeff - done. Time (sec):  0.0000029
         Initializing Hessian ...
         Initializing Hessian - done. Time (sec):  0.0005333
         Computing energy terms ...
         Computing energy terms - done. Time (sec):  0.2833576
         Computing approximation terms ...
         Computing approximation terms - done. Time (sec):  0.0102527
      Pre-computing matrices - done. Time (sec):  0.2942176
      Solving for degrees of freedom ...
         Solving initial startup problem (n=3375) ...
            Solving for output 0 ...
               Iteration (num., iy, grad. norm, func.) :   0   0 4.857178281e+07 2.642628384e+13
               Iteration (num., iy, grad. norm, func.) :   0   0 1.364349733e+05 7.002441710e+09
            Solving for output 0 - done. Time (sec):  0.0885880
            Solving for output 1 ...
               Iteration (num., iy, grad. norm, func.) :   0   1 3.711896708e-01 7.697335516e-04
               Iteration (num., iy, grad. norm, func.) :   0   1 1.384257034e-03 3.512467641e-07
            Solving for output 1 - done. Time (sec):  0.0884008
         Solving initial startup problem (n=3375) - done. Time (sec):  0.1770794
         Solving nonlinear problem (n=3375) ...
            Solving for output 0 ...
               Iteration (num., iy, grad. norm, func.) :   0   0 1.364349733e+05 7.002441710e+09
               Iteration (num., iy, grad. norm, func.) :   0   0 7.401682427e+04 1.956585489e+09
               Iteration (num., iy, grad. norm, func.) :   1   0 4.640761309e+04 5.653768085e+08
               Iteration (num., iy, grad. norm, func.) :   2   0 3.726949662e+04 3.860194807e+08
               Iteration (num., iy, grad. norm, func.) :   3   0 3.244331543e+04 3.735217325e+08
               Iteration (num., iy, grad. norm, func.) :   4   0 2.356309977e+04 3.232040667e+08
               Iteration (num., iy, grad. norm, func.) :   5   0 1.896770441e+04 2.970854602e+08
               Iteration (num., iy, grad. norm, func.) :   6   0 1.168979712e+04 2.643923864e+08
               Iteration (num., iy, grad. norm, func.) :   7   0 1.199133401e+04 2.223771115e+08
               Iteration (num., iy, grad. norm, func.) :   8   0 9.363877631e+03 2.013234589e+08
               Iteration (num., iy, grad. norm, func.) :   9   0 9.544160641e+03 1.861724031e+08
               Iteration (num., iy, grad. norm, func.) :  10   0 9.458916793e+03 1.762819815e+08
               Iteration (num., iy, grad. norm, func.) :  11   0 4.152198214e+03 1.661887141e+08
               Iteration (num., iy, grad. norm, func.) :  12   0 8.359804107e+03 1.619868009e+08
               Iteration (num., iy, grad. norm, func.) :  13   0 2.678073894e+03 1.599839425e+08
               Iteration (num., iy, grad. norm, func.) :  14   0 2.301049932e+03 1.583627245e+08
               Iteration (num., iy, grad. norm, func.) :  15   0 3.127472449e+03 1.554361115e+08
               Iteration (num., iy, grad. norm, func.) :  16   0 2.879195835e+03 1.516054749e+08
               Iteration (num., iy, grad. norm, func.) :  17   0 1.583184160e+03 1.493412967e+08
               Iteration (num., iy, grad. norm, func.) :  18   0 2.202973513e+03 1.492035778e+08
               Iteration (num., iy, grad. norm, func.) :  19   0 1.397841194e+03 1.489828558e+08
            Solving for output 0 - done. Time (sec):  1.7724838
            Solving for output 1 ...
               Iteration (num., iy, grad. norm, func.) :   0   1 1.384257034e-03 3.512467641e-07
               Iteration (num., iy, grad. norm, func.) :   0   1 3.575138262e-04 6.166597300e-08
               Iteration (num., iy, grad. norm, func.) :   1   1 3.156992731e-04 1.817140551e-08
               Iteration (num., iy, grad. norm, func.) :   2   1 2.070220585e-04 8.504635606e-09
               Iteration (num., iy, grad. norm, func.) :   3   1 1.711558893e-04 7.824284644e-09
               Iteration (num., iy, grad. norm, func.) :   4   1 1.147466159e-04 6.729973912e-09
               Iteration (num., iy, grad. norm, func.) :   5   1 1.033293877e-04 5.063463186e-09
               Iteration (num., iy, grad. norm, func.) :   6   1 5.272698157e-05 2.929839938e-09
               Iteration (num., iy, grad. norm, func.) :   7   1 4.894442104e-05 2.071717930e-09
               Iteration (num., iy, grad. norm, func.) :   8   1 2.850823295e-05 1.797321609e-09
               Iteration (num., iy, grad. norm, func.) :   9   1 2.566163204e-05 1.713105879e-09
               Iteration (num., iy, grad. norm, func.) :  10   1 2.728118053e-05 1.606498899e-09
               Iteration (num., iy, grad. norm, func.) :  11   1 2.407731298e-05 1.439553327e-09
               Iteration (num., iy, grad. norm, func.) :  12   1 1.588414550e-05 1.302254672e-09
               Iteration (num., iy, grad. norm, func.) :  13   1 1.941516089e-05 1.258276496e-09
               Iteration (num., iy, grad. norm, func.) :  14   1 1.159190980e-05 1.239434907e-09
               Iteration (num., iy, grad. norm, func.) :  15   1 1.872674427e-05 1.235569556e-09
               Iteration (num., iy, grad. norm, func.) :  16   1 1.169536710e-05 1.206341167e-09
               Iteration (num., iy, grad. norm, func.) :  17   1 1.005666171e-05 1.172498758e-09
               Iteration (num., iy, grad. norm, func.) :  18   1 4.240888944e-06 1.143928197e-09
               Iteration (num., iy, grad. norm, func.) :  19   1 4.653082813e-06 1.142989811e-09
            Solving for output 1 - done. Time (sec):  1.7775493
         Solving nonlinear problem (n=3375) - done. Time (sec):  3.5501003
      Solving for degrees of freedom - done. Time (sec):  3.7272718
   Training - done. Time (sec):  4.0223479
___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0012805

   Prediction time/pt. (sec) :  0.0000128

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0011656

   Prediction time/pt. (sec) :  0.0000117

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0011556

   Prediction time/pt. (sec) :  0.0000116

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0011547

   Prediction time/pt. (sec) :  0.0000115

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0011721

   Prediction time/pt. (sec) :  0.0000117

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0011621

   Prediction time/pt. (sec) :  0.0000116

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0011656

   Prediction time/pt. (sec) :  0.0000117

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0011466

   Prediction time/pt. (sec) :  0.0000115

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0012228

   Prediction time/pt. (sec) :  0.0000122

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0012078

   Prediction time/pt. (sec) :  0.0000121

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0012228

   Prediction time/pt. (sec) :  0.0000122

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0012078

   Prediction time/pt. (sec) :  0.0000121

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0012197

   Prediction time/pt. (sec) :  0.0000122

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0012212

   Prediction time/pt. (sec) :  0.0000122

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0012045

   Prediction time/pt. (sec) :  0.0000120

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0012193

   Prediction time/pt. (sec) :  0.0000122

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0012119

   Prediction time/pt. (sec) :  0.0000121

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0012147

   Prediction time/pt. (sec) :  0.0000121
../../../_images/b777_engine.png

RMTC

from smt.surrogate_models import RMTC
from smt.examples.b777_engine.b777_engine import get_b777_engine, plot_b777_engine

xt, yt, dyt_dxt, xlimits = get_b777_engine()

interp = RMTC(
    num_elements=6,
    xlimits=xlimits,
    nonlinear_maxiter=20,
    approx_order=2,
    energy_weight=0.0,
    regularization_weight=0.0,
    extrapolate=True,
)
interp.set_training_values(xt, yt)
interp.set_training_derivatives(xt, dyt_dxt[:, :, 0], 0)
interp.set_training_derivatives(xt, dyt_dxt[:, :, 1], 1)
interp.set_training_derivatives(xt, dyt_dxt[:, :, 2], 2)
interp.train()

plot_b777_engine(xt, yt, xlimits, interp)
___________________________________________________________________________

                                   RMTC
___________________________________________________________________________

 Problem size

      # training points.        : 1056

___________________________________________________________________________

 Training

   Training ...
      Pre-computing matrices ...
         Computing dof2coeff ...
         Computing dof2coeff - done. Time (sec):  0.0221884
         Initializing Hessian ...
         Initializing Hessian - done. Time (sec):  0.0005217
         Computing energy terms ...
         Computing energy terms - done. Time (sec):  0.1968417
         Computing approximation terms ...
         Computing approximation terms - done. Time (sec):  0.0910423
      Pre-computing matrices - done. Time (sec):  0.3106997
      Solving for degrees of freedom ...
         Solving initial startup problem (n=2744) ...
            Solving for output 0 ...
               Iteration (num., iy, grad. norm, func.) :   0   0 7.864862172e+07 2.642628384e+13
               Iteration (num., iy, grad. norm, func.) :   0   0 2.020804204e+05 2.067017787e+09
            Solving for output 0 - done. Time (sec):  0.1912801
            Solving for output 1 ...
               Iteration (num., iy, grad. norm, func.) :   0   1 8.095040141e-01 7.697335516e-04
               Iteration (num., iy, grad. norm, func.) :   0   1 1.242052177e-03 1.322622537e-07
            Solving for output 1 - done. Time (sec):  0.1920962
         Solving initial startup problem (n=2744) - done. Time (sec):  0.3834834
         Solving nonlinear problem (n=2744) ...
            Solving for output 0 ...
               Iteration (num., iy, grad. norm, func.) :   0   0 2.020804204e+05 2.067017787e+09
               Iteration (num., iy, grad. norm, func.) :   0   0 3.795378678e+04 4.209003076e+08
               Iteration (num., iy, grad. norm, func.) :   1   0 1.691388107e+04 3.530609622e+08
               Iteration (num., iy, grad. norm, func.) :   2   0 2.424674299e+04 3.502442863e+08
               Iteration (num., iy, grad. norm, func.) :   3   0 1.058301522e+04 3.371492582e+08
               Iteration (num., iy, grad. norm, func.) :   4   0 4.312724954e+03 3.326822270e+08
               Iteration (num., iy, grad. norm, func.) :   5   0 5.977501584e+03 3.320622264e+08
               Iteration (num., iy, grad. norm, func.) :   6   0 2.564093348e+03 3.312761931e+08
               Iteration (num., iy, grad. norm, func.) :   7   0 2.633911637e+03 3.307130145e+08
               Iteration (num., iy, grad. norm, func.) :   8   0 1.496166349e+03 3.304586905e+08
               Iteration (num., iy, grad. norm, func.) :   9   0 1.842768951e+03 3.303544335e+08
               Iteration (num., iy, grad. norm, func.) :  10   0 1.051264756e+03 3.302209836e+08
               Iteration (num., iy, grad. norm, func.) :  11   0 1.324634199e+03 3.301346076e+08
               Iteration (num., iy, grad. norm, func.) :  12   0 9.434603444e+02 3.299980929e+08
               Iteration (num., iy, grad. norm, func.) :  13   0 8.313796402e+02 3.299030047e+08
               Iteration (num., iy, grad. norm, func.) :  14   0 5.486546277e+02 3.298453756e+08
               Iteration (num., iy, grad. norm, func.) :  15   0 6.551215009e+02 3.298396348e+08
               Iteration (num., iy, grad. norm, func.) :  16   0 4.500885038e+02 3.298378066e+08
               Iteration (num., iy, grad. norm, func.) :  17   0 1.028007688e+03 3.298282370e+08
               Iteration (num., iy, grad. norm, func.) :  18   0 3.399838938e+02 3.298087400e+08
               Iteration (num., iy, grad. norm, func.) :  19   0 2.053750868e+02 3.298071682e+08
            Solving for output 0 - done. Time (sec):  3.7802360
            Solving for output 1 ...
               Iteration (num., iy, grad. norm, func.) :   0   1 1.242052177e-03 1.322622537e-07
               Iteration (num., iy, grad. norm, func.) :   0   1 3.336667748e-04 9.461988364e-09
               Iteration (num., iy, grad. norm, func.) :   1   1 3.413078795e-04 7.888237722e-09
               Iteration (num., iy, grad. norm, func.) :   2   1 2.136195000e-04 6.077625043e-09
               Iteration (num., iy, grad. norm, func.) :   3   1 8.542812525e-05 4.320340731e-09
               Iteration (num., iy, grad. norm, func.) :   4   1 8.048002545e-05 4.069045408e-09
               Iteration (num., iy, grad. norm, func.) :   5   1 5.885314829e-05 3.747906307e-09
               Iteration (num., iy, grad. norm, func.) :   6   1 4.591463641e-05 3.368137289e-09
               Iteration (num., iy, grad. norm, func.) :   7   1 3.900587215e-05 3.208417254e-09
               Iteration (num., iy, grad. norm, func.) :   8   1 4.559233031e-05 3.125987804e-09
               Iteration (num., iy, grad. norm, func.) :   9   1 2.617598725e-05 3.067238678e-09
               Iteration (num., iy, grad. norm, func.) :  10   1 3.747446115e-05 3.046046092e-09
               Iteration (num., iy, grad. norm, func.) :  11   1 2.361552341e-05 3.036950106e-09
               Iteration (num., iy, grad. norm, func.) :  12   1 2.753651777e-05 3.019194609e-09
               Iteration (num., iy, grad. norm, func.) :  13   1 2.186673375e-05 2.992432238e-09
               Iteration (num., iy, grad. norm, func.) :  14   1 1.772397035e-05 2.960899015e-09
               Iteration (num., iy, grad. norm, func.) :  15   1 1.070987545e-05 2.936477461e-09
               Iteration (num., iy, grad. norm, func.) :  16   1 9.065950919e-06 2.926874777e-09
               Iteration (num., iy, grad. norm, func.) :  17   1 7.400482695e-06 2.924517350e-09
               Iteration (num., iy, grad. norm, func.) :  18   1 6.317494830e-06 2.922681890e-09
               Iteration (num., iy, grad. norm, func.) :  19   1 1.047966941e-05 2.918951548e-09
            Solving for output 1 - done. Time (sec):  3.7826016
         Solving nonlinear problem (n=2744) - done. Time (sec):  7.5629272
      Solving for degrees of freedom - done. Time (sec):  7.9465067
   Training - done. Time (sec):  8.2599399
___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0029576

   Prediction time/pt. (sec) :  0.0000296

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0028090

   Prediction time/pt. (sec) :  0.0000281

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0028059

   Prediction time/pt. (sec) :  0.0000281

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0027966

   Prediction time/pt. (sec) :  0.0000280

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0029519

   Prediction time/pt. (sec) :  0.0000295

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0029473

   Prediction time/pt. (sec) :  0.0000295

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0027869

   Prediction time/pt. (sec) :  0.0000279

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0025973

   Prediction time/pt. (sec) :  0.0000260

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0028708

   Prediction time/pt. (sec) :  0.0000287

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0027230

   Prediction time/pt. (sec) :  0.0000272

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0027533

   Prediction time/pt. (sec) :  0.0000275

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0026200

   Prediction time/pt. (sec) :  0.0000262

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0028691

   Prediction time/pt. (sec) :  0.0000287

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0027015

   Prediction time/pt. (sec) :  0.0000270

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0028729

   Prediction time/pt. (sec) :  0.0000287

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0027158

   Prediction time/pt. (sec) :  0.0000272

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0030129

   Prediction time/pt. (sec) :  0.0000301

___________________________________________________________________________

 Evaluation

      # eval points. : 100

   Predicting ...
   Predicting - done. Time (sec):  0.0028460

   Prediction time/pt. (sec) :  0.0000285
../../../_images/b777_engine.png