```python
from pycalphad import Database, Model
from pycalphad.core.utils import make_callable
import pycalphad.variables as v
import numba
import numpy as np
```

```python
dbf = Database('Al-Ni/Al-Ni-Dupin-2001.tdb')
mod = Model(dbf, ['AL', 'NI', 'VA'], 'FCC_L12')
```

```python
from sympy import lambdify
from pycalphad.core.utils import NumPyPrinter
@numba.jit('float64(boolean, float64, float64)', nopython=True, nogil=True)
def where(condition, x, y):
    if condition:
        return x
    else:
        return y
```

```python

x1 = np.random.rand(5, 1, 1)*2000
x2 = np.random.rand(5, 5, 1)
x3 = np.random.rand(5, 5, 1)
x4 = np.random.rand(5, 5, 6000)
x5 = np.random.rand(5, 5, 6000)
x6 = np.random.rand(5, 5, 6000)
#np.testing.assert_allclose(vec_func(x1, x2, x3, x4, x5, x6), pure_func(x1, x2, x3, x4, x5, x6))
#%timeit vec_func(x1, x2, x3, x4, x5, x6)
```

```python
from sympy import lambdify, count_ops
import numba
def make_gradient_from_graph(graph, wrt):
    wrt = tuple(wrt)
    grads = np.empty((len(wrt)), dtype=object)
    hess_indices = []
    namespace = {}
    for i in range(len(wrt)):
        grads[i] = graph.diff(wrt[i])
        #print('------------------------------------')
        #print(grads[i])
        for j in range(i, len(wrt)):
            hess_elem = grads[i].diff(wrt[j])
            hess_elem_func = lambdify(tuple(wrt), hess_elem, dummify=True,\
                                      modules=[{'where': where}, 'numpy'], printer=NumPyPrinter)
            namespace['hess_{0}{1}'.format(i, j)] = numba.jit('float64({})'.format(','.join(['float64'] * len(wrt))),
                                                              nopython=True, nogil=True)(hess_elem_func)
            hess_indices.append((i, j))
        grad_elem_func = lambdify(tuple(wrt), grads[i], dummify=True,\
                                  modules=[{'where': where}, 'numpy'], printer=NumPyPrinter)
        namespace['grad_{0}'.format(i)] = numba.jit('float64({})'.format(','.join(['float64'] * len(wrt))),
                                                    nopython=True, nogil=True)(grad_elem_func)
    # Build the gradient and Hessian using compile() and exec
    # We do this because Numba needs "static" information about the arguments and functions
    call_args = ','.join(['_x{0}'.format(i) for i in range(len(wrt))])
    call_passed_args = ','.join(['_x{0}[0]'.format(i) for i in range(len(wrt))])

    grad_code = 'def grad_func({0}, lengthfix, result):'.format(call_args)
    grad_list = ['    result[..., {0}] = grad_{0}({1})'.format(i, call_passed_args) for i in range(len(wrt))]
    grad_code = grad_code + '\n' + '\n'.join(grad_list)
    #print(grad_code)

    grad_code = compile(grad_code, '<string>', 'exec')
    try:
        exec grad_code in namespace
    except SyntaxError:
        exec(grad_code, namespace)

    # Now construct the Hessian
    hess_code = 'def hess_func({0}, lengthfix, result):'.format(call_args)
    hess_list = ['    result[{0},{1}] = result[{1}, {0}] = hess_{0}{1}({2})'.format(i, j, call_passed_args) \
                 for i, j in hess_indices]
    hess_code = hess_code + '\n' + '\n'.join(hess_list)
    #print(hess_code)

    hess_code = compile(hess_code, '<string>', 'exec')
    try:
        exec hess_code in namespace
    except SyntaxError:
        exec(hess_code, namespace)

    grad_func = numba.guvectorize([','.join(['float64[:]'] * (len(wrt)+2))],
                                   ','.join(['()'] * len(wrt)) + ',(n)->(n)', nopython=True)(namespace['grad_func'])
    hess_func = None
    hess_func = numba.guvectorize([','.join(['float64[:]'] * (len(wrt)+1)) + ',float64[:,:]'],
                                   ','.join(['()'] * len(wrt)) + ',(n)->(n,n)', nopython=True)(namespace['hess_func'])
    return grad_func, hess_func
```

```python
%time grad_func, hess_func = make_gradient_from_graph(mod.ast, mod.variables)
```

    CPU times: user 2min 29s, sys: 634 ms, total: 2min 29s
    Wall time: 2min 29s

```python
%time grad_func(x1, x2, x3, x4, x5, x6, np.empty(6), np.zeros(x6.shape + (6,)))
```

    CPU times: user 339 ms, sys: 1 ms, total: 340 ms
    Wall time: 341 ms

    array([[[[  1.42907095e+03,  -4.99213737e+04,  -7.70312405e+04,
               -2.78291675e+05,  -2.88806916e+05,  -7.14257185e+04],
             [  1.22674823e+03,  -5.85084903e+04,  -5.62875954e+04,
               -2.38297377e+05,  -2.46886197e+05,  -6.59177112e+04],
             [  9.46422288e+02,  -2.05268579e+04,  -2.31703195e+04,
               -1.79064904e+05,  -1.81666961e+05,  -3.24274073e+04],
             ...,
             [  1.31827788e+03,  -4.35055436e+04,  -6.70149392e+04,
               -2.54631661e+05,  -2.63945208e+05,  -6.26772339e+04],
             [  8.60420625e+02,  -1.07536356e+04,  -1.33131716e+04,
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            [[  1.39427932e+03,  -5.92039278e+04,  -3.13226247e+04,
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             ...,
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               -1.66322658e+05,  -1.64949326e+05,  -2.00472078e+04]],

            [[  1.02589252e+03,  -3.34377623e+04,  -1.86008980e+04,
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             ...,
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               -3.15059593e+05,  -3.15606551e+05,  -1.15285599e+05],
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               -2.21826119e+05,  -2.22542477e+05,  -5.81513404e+04]],

            [[  1.20259700e+03,  -3.16640771e+04,  -3.01494662e+04,
               -2.51446914e+05,  -2.48079941e+05,  -5.93767044e+04],
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               -1.23239872e+09,  -1.51515888e+09,  -1.00335116e+09],
             ...,
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               -1.60561944e+05,  -1.57434727e+05,  -2.97838050e+04],
             [  2.64722326e+15,  -8.70944933e+18,  -9.53426881e+18,
               -2.90314978e+18,  -3.17808960e+18,  -1.26773473e+18],
             [  1.29339083e+03,  -3.72609519e+04,  -3.74945779e+04,
               -2.73473917e+05,  -2.70395176e+05,  -7.30246909e+04]],

            [[  1.86729554e+03,  -1.87228898e+05,  -8.73737855e+05,
               -2.73334110e+05,  -5.27994178e+05,  -4.88803902e+05],
             [  8.66154753e+03,  -3.38869084e+06,  -8.87904989e+06,
               -1.35477192e+06,  -3.20365052e+06,  -3.64914457e+06],
             [  6.30422775e+07,  -6.39509578e+10,  -9.85082283e+10,
               -2.13172201e+10,  -3.28363163e+10,  -3.09443583e+10],
             ...,
             [  2.45572738e+07,  -9.93180381e+09,  -4.64672209e+10,
               -3.31086154e+09,  -1.54893432e+10,  -9.82863659e+09],
             [  1.41924826e+03,  -8.74021297e+04,  -8.35314275e+04,
               -2.94421202e+05,  -3.38421416e+05,  -2.04643614e+05],
             [  4.70378285e+09,   5.79779325e+11,  -1.43831978e+13,
                1.93259462e+11,  -4.79439960e+12,  -1.51230428e+12]]],

           [[[  3.43733321e+03,  -3.11290366e+04,  -4.01009972e+04,
               -2.02360828e+05,  -1.99276079e+05,  -7.69800096e+04],
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               -1.86610839e+05,  -1.86992331e+05,  -9.06258024e+04],
             ...,
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               -2.31874632e+05,  -2.36142214e+05,  -1.04724485e+05],
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               -2.08265684e+05,  -2.10415873e+05,  -8.84485098e+04]],

            [[  3.85561143e+03,  -6.87284458e+04,  -5.05834683e+04,
               -2.29193733e+05,  -2.25253710e+05,  -8.04585945e+04],
             [  3.68187340e+03,  -5.72874705e+04,  -4.19048066e+04,
               -2.19146948e+05,  -2.13475137e+05,  -6.10863998e+04],
             [  6.07348272e+03,  -1.88256970e+05,  -1.53951142e+05,
               -3.81116335e+05,  -3.77441016e+05,  -2.27846247e+05],
             ...,
             [  3.76578392e+03,  -6.56579937e+04,  -4.87061642e+04,
               -2.21706499e+05,  -2.19112422e+05,  -8.49990337e+04],
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               -2.11868128e+05,  -2.05241797e+05,  -5.59268433e+04]],

            [[  6.28331932e+03,  -9.77465909e+04,  -1.46716358e+05,
               -4.07629866e+05,  -4.33622277e+05,  -2.17534651e+05],
             [  5.60308611e+03,  -9.64040028e+04,  -1.17280951e+05,
               -3.64514149e+05,  -3.78602306e+05,  -1.85087599e+05],
             [  5.02331863e+03,  -9.36904120e+04,  -1.23411014e+05,
               -3.08837096e+05,  -3.29986133e+05,  -2.00834829e+05],
             ...,
             [  5.50001943e+03,  -9.49324490e+04,  -1.15247782e+05,
               -3.56038866e+05,  -3.70075886e+05,  -1.82376693e+05],
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               -2.99263240e+05,  -3.22743439e+05,  -2.13224274e+05],
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               -2.22571312e+05,  -2.29074362e+05,  -8.47209890e+04]],

            [[  5.02367875e+03,  -7.22587149e+04,  -1.28176607e+05,
               -2.99175884e+05,  -3.14378817e+05,  -1.11942035e+05],
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               -2.05468997e+05,  -2.10145726e+05,  -8.00777114e+04],
             ...,
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               -2.88449720e+05,  -3.02575276e+05,  -9.01594963e+04],
             [  3.53440390e+03,  -3.39241345e+04,  -5.23194316e+04,
               -2.02792621e+05,  -2.08134110e+05,  -5.72880400e+04],
             [  3.70021189e+03,  -3.86989079e+04,  -6.38858957e+04,
               -2.13856961e+05,  -2.17601688e+05,  -7.48653540e+04]],

            [[  9.85324318e+29,   2.76841800e+31,  -7.10367060e+33,
                9.22806002e+30,  -2.36789020e+33,  -2.08607020e+34],
             [  1.37453682e+14,  -1.14487923e+17,  -9.26527358e+17,
               -3.81626412e+16,  -3.08842453e+17,  -2.03866290e+17],
             [  6.15747661e+17,  -1.41120343e+21,  -4.60928564e+21,
               -4.70401144e+20,  -1.53642855e+21,  -1.28697915e+21],
             ...,
             [  4.11097909e+18,  -9.84649448e+21,  -3.28889493e+22,
               -3.28216483e+21,  -1.09629831e+22,  -8.88671482e+21],
             [  1.64837928e+24,  -3.90266933e+26,  -1.23752719e+28,
               -1.30088978e+26,  -4.12509065e+27,  -1.21594508e+28],
             [  1.78055369e+30,   1.04291486e+34,  -5.96145285e+34,
                3.47638288e+33,  -1.98715095e+34,  -4.97588772e+33]]],

           [[[  5.28236120e+03,  -1.29076616e+05,  -7.57017138e+04,
               -2.79737478e+05,  -2.66334835e+05,  -1.65945379e+05],
             [  4.20536122e+03,  -6.16521000e+04,  -3.55464896e+04,
               -2.06297969e+05,  -2.05354955e+05,  -8.54714080e+04],
             [  4.63039680e+03,  -8.61545436e+04,  -5.31759557e+04,
               -2.32784320e+05,  -2.28695213e+05,  -1.36686842e+05],
             ...,
             [  6.06647324e+03,  -1.59561320e+05,  -9.69307461e+04,
               -3.36902625e+05,  -3.11368927e+05,  -1.72951235e+05],
             [  6.18313120e+03,  -1.64235697e+05,  -1.13002621e+05,
               -3.38291202e+05,  -3.19028558e+05,  -2.20693177e+05],
             [  6.85967681e+03,  -2.09601182e+05,  -1.15353127e+05,
               -4.00208161e+05,  -3.54876955e+05,  -2.00281331e+05]],

            [[  5.28168911e+03,  -5.86175922e+04,  -8.09933726e+04,
               -2.75608135e+05,  -2.88966424e+05,  -1.54508154e+05],
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               -2.99187502e+05,  -3.15768911e+05,  -2.41173624e+05],
             ...,
             [  8.05525088e+03,  -1.39472574e+05,  -2.19895470e+05,
               -4.45626336e+05,  -4.89596104e+05,  -4.19040875e+05],
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               -2.90270901e+05,  -3.02350741e+05,  -2.15731362e+05],
             [  5.24532380e+03,  -7.22510697e+04,  -9.23486990e+04,
               -2.76521643e+05,  -2.85943630e+05,  -1.98865166e+05]],

            [[  9.53117893e+36,   4.79509445e+41,  -1.08375759e+42,
                1.59836482e+41,  -3.61252530e+41,  -3.35913364e+40],
             [  1.74260594e+20,  -6.19958027e+22,  -1.55823030e+24,
               -2.06652676e+22,  -5.19410101e+23,  -7.09609254e+23],
             [  6.37104439e+26,   6.78604942e+30,  -1.96960470e+31,
                2.26201647e+30,  -6.56534900e+30,  -1.75307035e+30],
             ...,
             [  7.38555797e+24,   1.29259382e+29,  -2.84614561e+29,
                4.30864607e+28,  -9.48715203e+28,  -1.25552882e+28],
             [  1.65716641e+23,  -8.89592279e+25,  -1.22101289e+27,
               -2.96530760e+25,  -4.07004298e+26,  -1.53362132e+27],
             [  5.78515209e+16,   5.79484743e+19,  -6.05443081e+20,
                1.93161581e+19,  -2.01814360e+20,  -1.09680290e+20]],

            [[  1.19349674e+18,  -2.72624966e+21,  -7.77538507e+21,
               -9.08749888e+20,  -2.59179502e+21,  -4.86041233e+21],
             [  1.09212522e+18,  -4.74643436e+21,  -7.89434487e+21,
               -1.58214479e+21,  -2.63144829e+21,  -3.23217464e+21],
             [  4.14514718e+17,  -3.84230338e+21,  -3.27173486e+21,
               -1.28076779e+21,  -1.09057829e+21,  -8.22423495e+20],
             ...,
             [  1.74111152e+15,  -7.67771211e+18,  -9.15845214e+18,
               -2.55923737e+18,  -3.05281738e+18,  -5.28870454e+18],
             [  1.73624920e+23,  -1.16629977e+27,  -2.10899367e+27,
               -3.88766589e+26,  -7.02997890e+26,  -5.39977020e+26],
             [  2.43867790e+13,  -1.09249925e+17,  -1.28332395e+17,
               -3.64166417e+16,  -4.27774649e+16,  -5.32414304e+16]],

            [[  5.81007704e+03,  -1.00999050e+05,  -1.33612135e+05,
               -2.99187159e+05,  -3.16702372e+05,  -2.16690353e+05],
             [  7.82431296e+03,  -1.75695461e+05,  -2.13248733e+05,
               -4.34048767e+05,  -4.57860965e+05,  -3.43880734e+05],
             [  6.80129317e+03,  -1.42098045e+05,  -1.65506278e+05,
               -3.73703039e+05,  -3.86107235e+05,  -2.67912940e+05],
             ...,
             [  4.41803953e+03,  -4.55018600e+04,  -5.35981817e+04,
               -2.17671391e+05,  -2.19912266e+05,  -1.13562131e+05],
             [  6.35771255e+03,  -9.51955971e+04,  -1.30766178e+05,
               -3.37808936e+05,  -3.56276918e+05,  -1.82337569e+05],
             [  4.27798122e+03,  -4.09769300e+04,  -4.67236736e+04,
               -2.09910487e+05,  -2.09844117e+05,  -1.10187022e+05]]],

           [[[  3.08404535e+26,  -1.38312853e+30,  -5.21716285e+30,
               -4.61042844e+29,  -1.73905428e+30,  -1.19733042e+30],
             [  6.40378773e+30,  -4.38383860e+34,  -9.19998332e+34,
               -1.46127953e+34,  -3.06666111e+34,  -5.97055919e+34],
             [  3.47367280e+20,  -6.51170618e+23,  -2.13531592e+24,
               -2.17056873e+23,  -7.11771973e+23,  -2.61284404e+24],
             ...,
             [  2.99269714e+23,   5.35896137e+26,  -4.45687671e+27,
                1.78632046e+26,  -1.48562557e+27,  -1.09666703e+27],
             [  3.44940640e+24,  -6.87178512e+26,  -6.98156527e+28,
               -2.29059504e+26,  -2.32718842e+28,  -8.51482039e+27],
             [  5.29152560e+25,  -5.59207883e+26,  -7.96128555e+29,
               -1.86402628e+26,  -2.65376185e+29,  -2.51668501e+29]],

            [[  6.45750260e+03,  -1.21418277e+05,  -1.10153752e+05,
               -3.51305940e+05,  -3.41894562e+05,  -1.98607792e+05],
             [  4.63197502e+03,  -6.26379593e+04,  -4.61144092e+04,
               -2.30966271e+05,  -2.23606266e+05,  -1.22800211e+05],
             [  1.19019222e+22,  -3.83174830e+26,  -1.49955710e+26,
               -1.27724943e+26,  -4.99852367e+25,  -2.25680430e+25],
             ...,
             [  4.44460513e+03,  -4.98808845e+04,  -4.05084315e+04,
               -2.15679967e+05,  -2.13877602e+05,  -1.05044323e+05],
             [  8.26747974e+03,  -1.86298718e+05,  -1.88219434e+05,
               -4.64284486e+05,  -4.54196880e+05,  -3.68668955e+05],
             [  4.48969994e+03,  -5.06844260e+04,  -4.18993567e+04,
               -2.19473838e+05,  -2.18247066e+05,  -9.76418382e+04]],

            [[  4.37914804e+03,  -4.63043151e+04,  -3.90873039e+04,
               -2.09495892e+05,  -2.15212803e+05,  -9.81782582e+04],
             [  4.54172648e+36,  -1.35586793e+41,  -1.05445632e+41,
               -4.51955976e+40,  -3.51485439e+40,  -5.00661178e+40],
             [  7.88590998e+03,  -1.77029639e+05,  -1.49025663e+05,
               -4.65675050e+05,  -4.27099097e+05,  -2.49132062e+05],
             ...,
             [  1.18678643e+21,  -1.98188736e+25,  -1.22423271e+25,
               -6.60629121e+24,  -4.08077571e+24,  -2.75604360e+24],
             [  3.25749055e+17,  -3.78220758e+21,  -2.60098244e+21,
               -1.26073586e+21,  -8.66994148e+20,  -6.20795241e+20],
             [  5.79295584e+03,  -9.58459367e+04,  -8.55759181e+04,
               -3.07685339e+05,  -3.00815764e+05,  -1.43340059e+05]],

            [[  5.98568323e+03,  -9.27482064e+04,  -1.26820082e+05,
               -2.97117052e+05,  -3.09492993e+05,  -1.01075790e+05],
             [  5.88431341e+03,  -9.39373776e+04,  -1.10257918e+05,
               -2.98227626e+05,  -3.00213311e+05,  -9.14230215e+04],
             [  4.53298401e+03,  -4.95417034e+04,  -5.89423929e+04,
               -2.21804365e+05,  -2.18317273e+05,  -6.12594135e+04],
             ...,
             [  7.50068457e+03,  -1.58203963e+05,  -2.00657555e+05,
               -3.81817399e+05,  -3.95806969e+05,  -1.85746395e+05],
             [  4.34871724e+03,  -4.32063710e+04,  -5.26177458e+04,
               -2.06082860e+05,  -2.06381868e+05,  -7.43750029e+04],
             [  7.09900271e+03,  -1.36714708e+05,  -1.94576706e+05,
               -3.55051518e+05,  -3.70490255e+05,  -1.74351856e+05]],

            [[  5.06284990e+03,  -7.85870208e+04,  -6.62883140e+04,
               -2.54503682e+05,  -2.51580905e+05,  -1.29199800e+05],
             [  5.20079980e+03,  -9.31670857e+04,  -7.39672577e+04,
               -2.62363174e+05,  -2.59849105e+05,  -1.57421517e+05],
             [  6.07702188e+03,  -1.24389013e+05,  -1.05212042e+05,
               -3.18580805e+05,  -3.15140305e+05,  -1.84612394e+05],
             ...,
             [  4.48953792e+03,  -4.88486330e+04,  -4.49140945e+04,
               -2.16717289e+05,  -2.22969380e+05,  -8.78170133e+04],
             [  4.67578442e+03,  -5.61892217e+04,  -5.30571845e+04,
               -2.27149092e+05,  -2.30328336e+05,  -1.07692158e+05],
             [  5.08102047e+03,  -7.02333981e+04,  -6.93949793e+04,
               -2.52346257e+05,  -2.55923528e+05,  -1.25291650e+05]]],

           [[[  7.69682357e+02,  -8.38898923e+03,  -3.51918635e+04,
               -1.76466334e+05,  -1.84708703e+05,  -2.17295533e+04],
             [  6.48277604e+02,  -6.37644381e+03,  -1.14452462e+04,
               -1.49848321e+05,  -1.51051898e+05,  -2.05221803e+04],
             [  8.75835285e+02,  -9.59403528e+03,  -4.88355741e+04,
               -2.01454554e+05,  -2.13907837e+05,  -2.34617368e+04],
             ...,
             [  8.00615531e+02,  -7.05880649e+03,  -2.94644033e+04,
               -1.85989085e+05,  -1.92231547e+05,  -1.29951367e+04],
             [  8.98399188e+02,  -1.41274066e+04,  -3.95873607e+04,
               -2.09666940e+05,  -2.23320388e+05,  -3.13678805e+04],
             [  8.50978814e+02,  -1.14210881e+04,  -4.34050178e+04,
               -1.96269577e+05,  -2.08829992e+05,  -2.79010272e+04]],

            [[  7.29226322e+02,  -1.53552096e+04,  -1.57701202e+04,
               -1.68518904e+05,  -1.68718742e+05,  -7.30576732e+03],
             [  1.21190214e+03,  -2.08548328e+04,  -5.82659161e+04,
               -2.82009841e+05,  -2.84493432e+05,  -1.47751035e+04],
             [  6.43483707e+02,  -9.22593307e+03,  -9.27472679e+03,
               -1.48219408e+05,  -1.48534088e+05,  -5.88275259e+03],
             ...,
             [  8.31332876e+02,  -1.93529661e+04,  -1.28100619e+04,
               -1.94155738e+05,  -1.92630935e+05,  -6.02945605e+03],
             [  7.05180975e+02,  -1.56613063e+04,  -1.42254741e+04,
               -1.62777614e+05,  -1.62906567e+05,  -7.55569304e+03],
             [  6.89430905e+02,  -1.27126437e+04,  -1.17419945e+04,
               -1.59400989e+05,  -1.59368579e+05,  -6.21657106e+03]],

            [[  1.01145807e+03,  -9.68617009e+03,  -6.39559514e+04,
               -2.32574180e+05,  -2.40873763e+05,  -6.96446290e+03],
             [  1.12109192e+03,  -2.50072028e+04,  -7.05463102e+04,
               -2.55853250e+05,  -2.73421447e+05,  -2.57139343e+04],
             [  7.90321962e+02,  -8.07068294e+03,  -1.71480979e+04,
               -1.83021527e+05,  -1.88102718e+05,  -5.54351947e+03],
             ...,
             [  6.47796571e+02,  -6.19163313e+03,  -1.37923177e+04,
               -1.49318911e+05,  -1.50452794e+05,  -4.68479785e+03],
             [  8.93095776e+02,  -9.00053371e+03,  -3.12993077e+04,
               -2.06032414e+05,  -2.14439726e+05,  -6.35522138e+03],
             [  8.77258388e+02,  -8.28996123e+03,  -2.26954140e+04,
               -2.02810954e+05,  -2.11635010e+05,  -5.30387894e+03]],

            [[  9.77566821e+02,  -9.43123747e+04,  -1.35772267e+05,
               -2.18504970e+05,  -2.47823521e+05,  -1.59481730e+05],
             [  2.69557993e+04,  -2.04793698e+07,  -2.90519056e+07,
               -7.07013147e+06,  -9.93500984e+06,  -8.45805567e+06],
             [  8.29031306e+12,  -3.98479034e+15,  -1.23724523e+16,
               -1.32826345e+15,  -4.12415078e+15,  -8.24135477e+15],
             ...,
             [  6.14726049e+14,  -3.16029873e+18,  -2.16250659e+18,
               -1.05343291e+18,  -7.20835529e+17,  -1.88366076e+17],
             [  6.62846603e+07,  -2.29738947e+10,  -6.58586625e+10,
               -7.65813278e+09,  -2.19530597e+10,  -5.61747531e+10],
             [  1.26531942e+03,  -1.37795774e+05,  -1.11016030e+05,
               -3.37351566e+05,  -3.47134759e+05,  -1.40395227e+05]],

            [[  9.60691579e+02,  -2.98612085e+04,  -2.85754477e+04,
               -2.30349682e+05,  -2.31844968e+05,  -2.46059521e+04],
             [  6.61045932e+02,  -8.42816640e+03,  -7.36312834e+03,
               -1.54844812e+05,  -1.53989896e+05,  -7.85407716e+03],
             [  8.75419830e+02,  -3.21453661e+04,  -3.58734702e+04,
               -2.04971166e+05,  -2.09648097e+05,  -3.22177235e+04],
             ...,
             [  9.32664251e+02,  -4.59715396e+04,  -2.14984462e+04,
               -2.26935173e+05,  -2.23860393e+05,  -2.69236749e+04],
             [  8.71145707e+02,  -2.15092095e+04,  -2.36258428e+04,
               -2.07158570e+05,  -2.08543664e+05,  -2.01236343e+04],
             [  6.33501181e+02,  -7.32837591e+03,  -7.51521195e+03,
               -1.46430389e+05,  -1.46713895e+05,  -1.52345415e+04]]]])

```python
result = np.zeros(x6.shape + (6,6))
%time hess_func(x1, x2, x3, x4, x5, x6, np.empty(6), result)
print(result)
```

    CPU times: user 1.02 s, sys: 10 ms, total: 1.03 s
    Wall time: 1.03 s
    [[[[[  1.45361401e+03  -2.29986420e+01  -1.73589195e+01  -1.02005939e+04
          -1.01999411e+04   2.74441554e+03]
        [ -2.29986420e+01  -4.74392218e+04  -6.93471628e+04  -1.77374376e+05
          -4.11677105e+05  -9.88653984e+04]
        [ -1.73589195e+01  -6.93471628e+04  -5.72915605e+04  -3.96437720e+05
          -2.04358468e+05  -1.53607366e+05]
        [ -1.02005939e+04  -1.77374376e+05  -3.96437720e+05  -2.46217342e+05
          -5.19359773e+05  -5.35529146e+05]
        [ -1.01999411e+04  -4.11677105e+05  -2.04358468e+05  -5.19359773e+05
          -2.68361172e+05  -5.56156449e+05]
        [  2.74441554e+03  -9.88653984e+04  -1.53607366e+05  -5.35529146e+05
          -5.56156449e+05  -1.31204415e+05]]

       [[  1.24397101e+03  -1.36274063e+01  -1.09969754e+01  -8.72771452e+03
          -8.72540495e+03   2.18926887e+03]
        [ -1.36274063e+01  -3.68949488e+04  -7.54660758e+04  -1.48501843e+05
          -3.56051190e+05  -1.21523230e+05]
        [ -1.09969754e+01  -7.54660758e+04  -4.58780485e+04  -3.43304270e+05
          -1.73638770e+05  -1.16823966e+05]
        [ -8.72771452e+03  -1.48501843e+05  -3.43304270e+05  -2.07171698e+05
          -4.51677800e+05  -4.29167244e+05]
        [ -8.72540495e+03  -3.56051190e+05  -1.73638770e+05  -4.51677800e+05
          -2.27397349e+05  -4.48037086e+05]
        [  2.18926887e+03  -1.21523230e+05  -1.16823966e+05  -4.29167244e+05
          -4.48037086e+05  -1.03622666e+05]]

       [[  9.53279161e+02  -5.66636813e+00  -4.55636513e+00  -6.68638714e+03
          -6.68600689e+03   1.50980181e+03]
        [ -5.66636813e+00  -4.42902651e+04  -2.16535591e+04  -1.17707253e+05
          -2.53816749e+05  -5.45086612e+04]
        [ -4.55636513e+00  -2.16535591e+04  -4.85660333e+04  -2.49732928e+05
          -1.24734292e+05  -6.40426305e+04]
        [ -6.68638714e+03  -1.17707253e+05  -2.49732928e+05  -1.65582623e+05
          -3.45019555e+05  -2.93230374e+05]
        [ -6.68600689e+03  -2.53816749e+05  -1.24734292e+05  -3.45019555e+05
          -1.72310900e+05  -3.02308698e+05]
        [  1.50980181e+03  -5.45086612e+04  -6.40426305e+04  -2.93230374e+05
          -3.02308698e+05  -3.90631733e+04]]

       ...,
       [[  1.33916110e+03  -1.93165092e+01  -1.43190028e+01  -9.39670012e+03
          -9.39611170e+03   2.43400559e+03]
        [ -1.93165092e+01  -4.74069910e+04  -5.83454104e+04  -1.62707000e+05
          -3.75368799e+05  -8.67296845e+04]
        [ -1.43190028e+01  -5.83454104e+04  -5.41685540e+04  -3.62411821e+05
          -1.86403969e+05  -1.35450058e+05]
        [ -9.39670012e+03  -1.62707000e+05  -3.62411821e+05  -2.27430021e+05
          -4.78569219e+05  -4.72420101e+05]
        [ -9.39611170e+03  -3.75368799e+05  -1.86403969e+05  -4.78569219e+05
          -2.47416819e+05  -4.91101667e+05]
        [  2.43400559e+03  -8.67296845e+04  -1.35450058e+05  -4.72420101e+05
          -4.91101667e+05  -1.06068419e+05]]

       [[  8.63977313e+02  -2.93790967e+00  -2.47910185e+00  -6.05923245e+03
          -6.06064497e+03   1.32329718e+03]
        [ -2.93790967e+00  -4.60651234e+04  -1.01162842e+04  -1.08268606e+05
          -2.21637200e+05  -2.80272973e+04]
        [ -2.47910185e+00  -1.01162842e+04  -4.86080159e+04  -2.20342392e+05
          -1.09823206e+05  -4.49433550e+04]
        [ -6.05923245e+03  -1.08268606e+05  -2.20342392e+05  -1.52874894e+05
          -3.12984322e+05  -2.57911700e+05]
        [ -6.06064497e+03  -2.21637200e+05  -1.09823206e+05  -3.12984322e+05
          -1.53302543e+05  -2.61747105e+05]
        [  1.32329718e+03  -2.80272973e+04  -4.49433550e+04  -2.57911700e+05
          -2.61747105e+05  -2.14238783e+04]]

       [[  8.57888782e+02  -2.76938475e+00  -2.11818965e+00  -6.01621185e+03
          -6.01634254e+03   1.30797317e+03]
        [ -2.76938475e+00  -4.54946493e+04  -1.42457633e+04  -1.06216644e+05
          -2.19590218e+05  -4.38408921e+04]
        [ -2.11818965e+00  -1.42457633e+04  -4.68582729e+04  -2.17834780e+05
          -1.09392627e+05  -5.72508900e+04]
        [ -6.01621185e+03  -1.06216644e+05  -2.17834780e+05  -1.51139413e+05
          -3.10955847e+05  -2.51576276e+05]
        [ -6.01634254e+03  -2.19590218e+05  -1.09392627e+05  -3.10955847e+05
          -1.54201818e+05  -2.60064563e+05]
        [  1.30797317e+03  -4.38408921e+04  -5.72508900e+04  -2.51576276e+05
          -2.60064563e+05  -3.00202859e+04]]]

      [[[  1.41225594e+03  -1.80861453e+01  -1.81222589e+01  -9.91174043e+03
          -9.90994740e+03   2.64111220e+03]
        [ -1.80861453e+01  -3.52331549e+04  -5.53069797e+04  -1.82576286e+05
          -4.20165913e+05  -1.16941998e+05]
        [ -1.81222589e+01  -5.53069797e+04  -7.33803526e+04  -3.99926223e+05
          -1.84519759e+05  -6.19822401e+04]
        [ -9.91174043e+03  -1.82576286e+05  -3.99926223e+05  -2.32406680e+05
          -5.17557101e+05  -5.42273171e+05]
        [ -9.90994740e+03  -4.20165913e+05  -1.84519759e+05  -5.17557101e+05
          -2.52150816e+05  -5.25998194e+05]
        [  2.64111220e+03  -1.16941998e+05  -6.19822401e+04  -5.42273171e+05
          -5.25998194e+05  -7.17655026e+04]]

       [[  1.40248893e+03  -2.16742114e+01  -1.50453821e+01  -9.84037473e+03
          -9.84437160e+03   2.60894632e+03]
        [ -2.16742114e+01  -5.18568738e+04  -3.67954005e+04  -1.76955137e+05
          -3.98348171e+05  -7.59276604e+04]
        [ -1.50453821e+01  -3.67954005e+04  -7.33672074e+04  -3.80405188e+05
          -1.82745165e+05  -1.25624196e+05]
        [ -9.84037473e+03  -1.76955137e+05  -3.80405188e+05  -2.41142390e+05
          -5.00572988e+05  -5.18082697e+05]
        [ -9.84437160e+03  -3.98348171e+05  -1.82745165e+05  -5.00572988e+05
          -2.54819689e+05  -5.14375931e+05]
        [  2.60894632e+03  -7.59276604e+04  -1.25624196e+05  -5.18082697e+05
          -5.14375931e+05  -1.09022690e+05]]

       [[  1.08272662e+03  -1.05089176e+01  -7.52239316e+00  -7.59545627e+03
          -7.59624381e+03   1.80384564e+03]
        [ -1.05089176e+01  -4.26271920e+04  -2.17090274e+04  -1.36103867e+05
          -3.01329673e+05  -5.74308664e+04]
        [ -7.52239316e+00  -2.17090274e+04  -5.92779624e+04  -2.90872194e+05
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       ...,
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       ...,
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       ...,
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       ...,
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     [[[[  5.30883530e+03  -2.14263740e+01  -1.50561959e+01  -3.71790731e+04
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       ...,
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       ...,
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       ...,
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       [[  1.32073646e+21  -7.56257642e+23  -1.03800399e+25  -2.52085881e+23
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       [[  4.61067806e+14   4.92629881e+17  -5.14697508e+18   1.64209960e+17
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      [[[  9.51198770e+15  -2.31763153e+19  -6.60998802e+19  -7.72543844e+18
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       [[  3.30361926e+15  -3.26640786e+19  -2.78135780e+19  -1.08880262e+19
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       ...,
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       [[  1.38376425e+21  -9.91491419e+24  -1.79289166e+25  -3.30497140e+24
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       [[  1.94358633e+11  -9.28751049e+14  -1.09097418e+15  -3.09583683e+14
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      [[[  5.84985853e+03  -2.50102782e+01  -2.29514539e+01  -4.09721367e+04
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       [[  7.90153234e+03  -5.47653482e+01  -5.16323759e+01  -5.53496039e+04
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       [[  6.85738466e+03  -3.87623493e+01  -3.74694759e+01  -4.80329488e+04
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       ...,
       [[  4.42532232e+03  -2.66014138e+00  -4.19512677e+00  -3.09894022e+04
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       [[  6.40149657e+03  -3.29982092e+01  -3.28826725e+01  -4.48376295e+04
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       ...,
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       ...,
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       ...,
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       ...,
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       [[  8.93453740e+02   2.74959223e-01  -2.47623390e+01  -6.26888828e+03
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       [[  8.77337315e+02   3.05938577e-01  -2.41604615e+01  -6.15694415e+03
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      [[[  8.31844268e+02  -2.92016961e+03  -6.00736586e+03  -6.75808634e+03
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       [[  2.35493016e+03  -1.14978238e+06  -1.63225203e+06  -3.90186423e+05
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       [[  4.39509094e+11  -2.25336316e+14  -6.99651077e+14  -7.51121054e+13
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       ...,
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       [[  3.51420376e+06  -1.29896892e+09  -3.72372728e+09  -4.32994741e+08
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       [[  1.17929519e+03  -3.23327532e+03  -3.63990032e+03  -9.32596505e+03
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      [[[  9.62114852e+02  -1.18720447e+00   1.55897411e+00  -6.75035498e+03
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       [[  6.62220380e+02  -1.44844696e+00  -7.88584886e-01  -4.64931063e+03
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       [[  8.75890783e+02  -1.61798689e+00   2.06307643e+00  -6.14467667e+03
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       ...,
       [[  9.33123802e+02   3.98040474e-01   9.75233947e-01  -6.54855690e+03
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       [[  8.72624890e+02  -1.50269384e+00   9.03747512e-01  -6.12239271e+03
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        [ -6.12239271e+03  -1.36101992e+05  -2.96116444e+05  -1.90463781e+05
          -3.95862420e+05  -3.56888159e+05]
        [ -6.12200120e+03  -3.01857810e+05  -1.42992384e+05  -3.95862420e+05
          -1.97153342e+05  -3.60156312e+05]
        [  1.48684963e+03  -4.53517875e+04  -5.09129440e+04  -3.56888159e+05
          -3.60156312e+05  -2.82386421e+04]]

       [[  6.34699533e+02  -1.55485312e+00  -8.33509484e-01  -4.45255242e+03
          -4.45287761e+03   9.60398830e+02]
        [ -1.55485312e+00  -4.45631790e+04  -8.83722777e+03  -9.83249321e+04
          -1.97614082e+05  -3.16130478e+04]
        [ -8.33509484e-01  -8.83722777e+03  -4.56050894e+04  -1.97243361e+05
          -9.89426638e+04  -4.03873598e+04]
        [ -4.45255242e+03  -9.83249321e+04  -1.97243361e+05  -1.41943778e+05
          -2.88855794e+05  -2.25910528e+05]
        [ -4.45287761e+03  -1.97614082e+05  -9.89426638e+04  -2.88855794e+05
          -1.42414169e+05  -2.30327773e+05]
        [  9.60398830e+02  -3.16130478e+04  -4.03873598e+04  -2.25910528e+05
          -2.30327773e+05  -1.55491039e+04]]]]]

```python
from pycalphad.core.autograd_utils import build_functions

%time obj, ag_grad_func, ag_hess_func = build_functions(mod.ast, tuple(mod.variables))

%time ag_grad_func(x1, x2, x3, x4, x5, x6)
```

    CPU times: user 284 ms, sys: 7 ms, total: 291 ms
    Wall time: 269 ms
    CPU times: user 977 ms, sys: 335 ms, total: 1.31 s
    Wall time: 1.31 s

    array([[[[ -4.14694549e+01,  -3.61785980e+04,  -6.32884649e+04,
               -9.55165965e+03,  -2.00669003e+04,  -6.68322263e+04],
             [ -3.26658020e+01,  -4.67477798e+04,  -4.45268849e+04,
               -8.31665009e+03,  -1.69054706e+04,  -6.19867199e+04],
             [ -1.74967683e+01,  -1.15145430e+04,  -1.41580047e+04,
               -2.82906340e+03,  -5.43112025e+03,  -2.94150612e+04],
             ...,
             [ -3.63379166e+01,  -3.08448636e+04,  -5.43542592e+04,
               -7.05203000e+03,  -1.63655766e+04,  -5.84454298e+04],
             [ -1.28675825e+01,  -2.58563846e+03,  -5.14517446e+03,
               -1.49273430e+03,  -2.56764327e+03,  -1.68927837e+04],
             [ -1.29359535e+01,  -4.69783075e+03,  -6.57130781e+03,
               -6.89665189e+02,  -2.03709073e+03,  -2.49809141e+04]],

            [[ -3.44059708e+01,  -4.58522834e+04,  -1.79709803e+04,
               -2.43457044e+04,  -1.56161621e+04,  -3.57461558e+04],
             [ -3.65948937e+01,  -2.57143586e+04,  -4.93606774e+04,
               -1.39085729e+04,  -1.28388560e+04,  -5.70821543e+04],
             [ -2.21779038e+01,  -1.64865230e+04,  -1.69327459e+04,
               -8.30744375e+03,  -7.54813833e+03,  -2.84513249e+04],
             ...,
             [ -2.08193215e+01,  -2.34057071e+04,  -1.59231847e+04,
               -6.34638202e+03,  -6.38305869e+03,  -3.36409288e+04],
             [ -3.00301196e+01,  -5.07907727e+04,  -1.32772963e+04,
               -2.29001868e+04,  -1.19045972e+04,  -3.36228914e+04],
             [ -1.35131595e+01,  -8.33381237e+03,  -3.36767463e+03,
               -3.52413941e+03,  -2.15080724e+03,  -1.72645418e+04]],

            [[ -2.14275417e+01,  -2.36501001e+04,  -8.81323575e+03,
               -1.16881147e+04,  -7.25587647e+03,  -2.92675052e+04],
             [ -9.94348763e+00,  -1.90216231e+03,  -1.55195969e+02,
               -2.76030936e+02,   2.23911035e+01,  -2.73812124e+04],
             [ -1.09435449e+01,  -5.14516036e+03,  -4.53181657e+02,
               -4.41065725e+03,  -7.30295895e+02,  -1.74449184e+04],
             ...,
             [ -5.26454551e+01,  -9.89537556e+04,  -5.70643434e+04,
               -2.62047209e+04,  -2.67516792e+04,  -1.10348289e+05],
             [ -4.14000900e+01,  -6.07726755e+04,  -4.97077102e+04,
               -1.27134861e+04,  -1.82400924e+04,  -8.78784665e+04],
             [ -2.86091185e+01,  -3.14222600e+04,  -2.71828094e+04,
               -1.00826161e+04,  -1.07989744e+04,  -5.45320724e+04]],

            [[ -3.47823907e+01,  -2.01195731e+04,  -1.86049622e+04,
               -2.56941075e+04,  -2.23271344e+04,  -5.55179796e+04],
             [ -5.19258613e+01,  -6.95510315e+04,  -2.02038508e+04,
               -5.15590359e+04,  -3.63704834e+04,  -8.54753442e+04],
             [  2.85150741e+06,  -3.69642621e+09,  -4.54465115e+09,
               -1.23214291e+09,  -1.51490307e+09,  -1.00334679e+09],
             ...,
             [ -1.18263176e+01,  -5.66750475e+03,  -2.93004612e+02,
               -5.29874385e+03,  -2.17152747e+03,  -2.71299379e+04],
             [  2.64722326e+15,  -8.70944933e+18,  -9.53426881e+18,
               -2.90314978e+18,  -3.17808960e+18,  -1.26773473e+18],
             [ -4.07493356e+01,  -2.48194616e+04,  -2.50530877e+04,
               -3.01805418e+04,  -2.71018007e+04,  -6.88661505e+04]],

            [[  6.98114803e+02,  -1.76348298e+05,  -8.62857255e+05,
               -6.05639340e+04,  -3.15224001e+05,  -4.85167085e+05],
             [  7.47144618e+03,  -3.37761172e+06,  -8.86797077e+06,
               -1.13811972e+06,  -2.98699832e+06,  -3.64544140e+06],
             [  6.30411096e+07,  -6.39509469e+10,  -9.85082174e+10,
               -2.13170072e+10,  -3.28361034e+10,  -3.09443547e+10],
             ...,
             [  2.45559793e+07,  -9.93179175e+09,  -4.64672088e+10,
               -3.31062573e+09,  -1.54891074e+10,  -9.82863256e+09],
             [ -4.35430600e+01,  -7.38186839e+04,  -6.99479816e+04,
               -2.87968812e+04,  -7.27970955e+04,  -2.00103378e+05],
             [  4.70378135e+09,   5.79779339e+11,  -1.43831978e+13,
                1.93259735e+11,  -4.79439932e+12,  -1.51230428e+12]]],

           [[[ -1.29249942e+01,   1.40550008e+03,  -7.56646052e+03,
               -5.95441834e+03,  -2.86966944e+03,  -6.61054131e+04],
             [ -2.43472757e+01,  -5.05901130e+03,  -2.66141812e+04,
               -4.50671645e+03,  -1.11087225e+04,  -8.99548972e+04],
             [ -8.99537435e+00,   3.78507398e+03,  -3.10531753e+03,
                1.40459306e+03,   1.02310090e+03,  -8.02157962e+04],
             ...,
             [ -2.56409052e+01,  -7.09865501e+03,  -2.66467592e+04,
               -9.16761895e+03,  -1.34352011e+04,  -9.23936815e+04],
             [ -8.33572688e+01,  -4.20367981e+04,  -1.16830076e+05,
               -2.69746831e+04,  -5.99222278e+04,  -2.17431922e+05],
             [ -1.72217860e+01,  -1.10714220e+03,  -1.44286675e+04,
               -3.84809994e+03,  -5.99828960e+03,  -7.71303520e+04]],

            [[ -2.18689393e+01,  -3.21700129e+04,  -1.40250354e+04,
               -8.49562999e+03,  -4.55560701e+03,  -6.82390197e+04],
             [ -1.69620428e+01,  -2.24104630e+04,  -7.02779915e+03,
               -8.59937267e+03,  -2.92756160e+03,  -4.94288377e+04],
             [ -7.78369416e+01,  -1.30284561e+05,  -9.59787339e+04,
               -3.11450812e+04,  -2.74697617e+04,  -2.08469098e+05],
             ...,
             [ -2.06099894e+01,  -2.99589286e+04,  -1.30070990e+04,
               -6.19627769e+03,  -3.60220059e+03,  -7.30667006e+04],
             [ -9.81103736e+00,  -6.85079994e+03,   7.25430442e+02,
                4.90631263e+02,  -3.22193808e+03,  -4.53285221e+04],
             [ -1.44845884e+01,  -1.77962698e+04,  -4.04057399e+03,
               -8.27807603e+03,  -1.65174588e+03,  -4.46545042e+04]],

            [[ -8.64477080e+01,  -3.76954398e+04,  -8.66652066e+04,
               -4.51095363e+04,  -7.11019471e+04,  -1.97462687e+05],
             [ -6.88800240e+01,  -4.29380290e+04,  -6.38149766e+04,
               -4.17476054e+04,  -5.58357624e+04,  -1.67216716e+05],
             [ -6.22214872e+01,  -4.57517590e+04,  -7.54723608e+04,
               -1.94382083e+04,  -4.05872453e+04,  -1.84811441e+05],
             ...,
             [ -6.68211921e+01,  -4.24573383e+04,  -6.27726710e+04,
               -3.92540228e+04,  -5.32910432e+04,  -1.64837004e+05],
             [ -6.20358363e+01,  -5.00554962e+04,  -8.11700919e+04,
               -1.52271334e+04,  -3.87073331e+04,  -1.97497811e+05],
             [ -2.23358770e+01,  -4.35609175e+03,  -1.43317428e+04,
               -6.63937404e+03,  -1.31424244e+04,  -7.27653064e+04]],

            [[ -4.71449591e+01,  -2.44399590e+04,  -8.03578510e+04,
               -1.05007987e+04,  -2.57037319e+04,  -9.59587220e+04],
             [ -2.00451766e+01,  -4.69965423e+03,  -2.96681038e+04,
               -2.48076207e+03,  -8.78616166e+03,  -5.49361799e+04],
             [ -1.77121024e+01,  -1.17278123e+03,  -3.36385022e+04,
                1.50127847e+03,  -3.17545120e+03,  -6.86182166e+04],
             ...,
             [ -3.73732577e+01,  -1.99094573e+04,  -4.44048632e+04,
               -1.31950065e+04,  -2.73205625e+04,  -7.49192404e+04],
             [ -1.39951650e+01,  -4.63396539e+02,  -1.88586936e+04,
               -7.94865401e+02,  -6.13635428e+03,  -4.61038628e+04],
             [ -1.84781170e+01,  -3.63314680e+03,  -2.88201346e+04,
               -2.16990737e+03,  -5.91463377e+03,  -6.31447014e+04]],

            [[  9.85324318e+29,   2.76841800e+31,  -7.10367060e+33,
                9.22806002e+30,  -2.36789020e+33,  -2.08607020e+34],
             [  1.37453682e+14,  -1.14487923e+17,  -9.26527358e+17,
               -3.81626412e+16,  -3.08842453e+17,  -2.03866290e+17],
             [  6.15747661e+17,  -1.41120343e+21,  -4.60928564e+21,
               -4.70401144e+20,  -1.53642855e+21,  -1.28697915e+21],
             ...,
             [  4.11097909e+18,  -9.84649448e+21,  -3.28889493e+22,
               -3.28216483e+21,  -1.09629831e+22,  -8.88671482e+21],
             [  1.64837928e+24,  -3.90266933e+26,  -1.23752719e+28,
               -1.30088978e+26,  -4.12509065e+27,  -1.21594508e+28],
             [  1.78055369e+30,   1.04291486e+34,  -5.96145285e+34,
                3.47638288e+33,  -1.98715095e+34,  -4.97588772e+33]]],

           [[[ -3.83974639e+01,  -7.88873441e+04,  -2.55124422e+04,
               -2.13388811e+04,  -7.93623852e+03,  -1.49169727e+05],
             [ -9.41884413e+00,  -2.18871267e+04,   4.21848372e+03,
               -1.56869232e+03,  -6.25677828e+02,  -7.21800542e+04],
             [ -2.09243033e+01,  -4.22755710e+04,  -9.29698320e+03,
               -6.87418953e+03,  -2.78508259e+03,  -1.22020393e+05],
             ...,
             [ -5.19355107e+01,  -1.01843872e+05,  -3.92132984e+04,
               -3.97453441e+04,  -1.42116462e+04,  -1.53659306e+05],
             [ -5.95177636e+01,  -1.05355001e+05,  -5.41219248e+04,
               -3.51449558e+04,  -1.58823115e+04,  -2.01012435e+05],
             [ -6.92661272e+01,  -1.44233276e+05,  -4.99852208e+04,
               -6.36626285e+04,  -1.83314224e+04,  -1.78432254e+05]],

            [[ -4.00849694e+01,  -8.41072646e+03,  -3.07865069e+04,
               -1.71189562e+04,  -3.04772449e+04,  -1.37726621e+05],
             [ -1.91441592e+01,  -1.10318286e+03,  -1.17626860e+04,
               -2.19023748e+03,  -7.81274440e+03,  -1.23411445e+05],
             [ -5.38553965e+01,  -3.46926589e+04,  -6.32354503e+04,
               -2.33959553e+04,  -3.99773645e+04,  -2.23268793e+05],
             ...,
             [ -1.25172042e+02,  -6.22948323e+04,  -1.42717729e+05,
               -4.82780706e+04,  -9.22478385e+04,  -3.93244387e+05],
             [ -4.76508420e+01,  -2.77723995e+04,  -5.12272091e+04,
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             [ -4.13702656e+01,  -2.23834915e+04,  -4.24811208e+04,
               -1.97792798e+04,  -2.92012666e+04,  -1.82197039e+05]],

            [[  9.53117893e+36,   4.79509445e+41,  -1.08375759e+42,
                1.59836482e+41,  -3.61252530e+41,  -3.35913364e+40],
             [  1.74260594e+20,  -6.19958027e+22,  -1.55823030e+24,
               -2.06652676e+22,  -5.19410101e+23,  -7.09609254e+23],
             [  6.37104439e+26,   6.78604942e+30,  -1.96960470e+31,
                2.26201647e+30,  -6.56534900e+30,  -1.75307035e+30],
             ...,
             [  7.38555797e+24,   1.29259382e+29,  -2.84614561e+29,
                4.30864607e+28,  -9.48715203e+28,  -1.25552882e+28],
             [  1.65716641e+23,  -8.89592279e+25,  -1.22101289e+27,
               -2.96530760e+25,  -4.07004298e+26,  -1.53362132e+27],
             [  5.78515209e+16,   5.79484743e+19,  -6.05443081e+20,
                1.93161581e+19,  -2.01814360e+20,  -1.09680290e+20]],

            [[  1.19349674e+18,  -2.72624966e+21,  -7.77538507e+21,
               -9.08749888e+20,  -2.59179502e+21,  -4.86041233e+21],
             [  1.09212522e+18,  -4.74643436e+21,  -7.89434487e+21,
               -1.58214479e+21,  -2.63144829e+21,  -3.23217464e+21],
             [  4.14514718e+17,  -3.84230338e+21,  -3.27173486e+21,
               -1.28076779e+21,  -1.09057829e+21,  -8.22423495e+20],
             ...,
             [  1.74111152e+15,  -7.67771211e+18,  -9.15845214e+18,
               -2.55923737e+18,  -3.05281738e+18,  -5.28870454e+18],
             [  1.73624920e+23,  -1.16629977e+27,  -2.10899367e+27,
               -3.88766589e+26,  -7.02997890e+26,  -5.39977020e+26],
             [  2.43867790e+13,  -1.09249925e+17,  -1.28332395e+17,
               -3.64166417e+16,  -4.27774649e+16,  -5.32414304e+16]],

            [[ -5.30049118e+01,  -4.56949796e+04,  -7.83080649e+04,
               -1.44551104e+04,  -3.19703240e+04,  -1.98205090e+05],
             [ -9.62108097e+01,  -1.00994986e+05,  -1.38548258e+05,
               -4.94546668e+04,  -7.32668644e+04,  -3.18912267e+05],
             [ -7.23030487e+01,  -7.72688843e+04,  -1.00677117e+05,
               -3.99312270e+04,  -5.23354229e+04,  -2.46243937e+05],
             ...,
             [ -1.64329986e+01,  -3.66528572e+03,  -1.17616074e+04,
               -2.27651241e+03,  -4.51738712e+03,  -9.95783495e+04],
             [ -5.71637700e+01,  -3.46763913e+04,  -7.02469718e+04,
               -2.62268527e+04,  -4.46948343e+04,  -1.62109159e+05],
             [ -1.29933302e+01,  -4.93788737e+02,  -6.24053231e+03,
               -1.48373425e+03,  -1.41736473e+03,  -9.66556220e+04]]],

           [[[  3.08404535e+26,  -1.38312853e+30,  -5.21716285e+30,
               -4.61042844e+29,  -1.73905428e+30,  -1.19733042e+30],
             [  6.40378773e+30,  -4.38383860e+34,  -9.19998332e+34,
               -1.46127953e+34,  -3.06666111e+34,  -5.97055919e+34],
             [  3.47367280e+20,  -6.51170618e+23,  -2.13531592e+24,
               -2.17056873e+23,  -7.11771973e+23,  -2.61284404e+24],
             ...,
             [  2.99269714e+23,   5.35896137e+26,  -4.45687671e+27,
                1.78632046e+26,  -1.48562557e+27,  -1.09666703e+27],
             [  3.44940640e+24,  -6.87178512e+26,  -6.98156527e+28,
               -2.29059504e+26,  -2.32718842e+28,  -8.51482039e+27],
             [  5.29152560e+25,  -5.59207883e+26,  -7.96128555e+29,
               -1.86402628e+26,  -2.65376185e+29,  -2.51668501e+29]],

            [[ -5.81532801e+01,  -5.99639176e+04,  -4.86993927e+04,
               -4.19572180e+04,  -3.25458397e+04,  -1.78066809e+05],
             [ -1.78061671e+01,  -1.87704268e+04,  -2.24687671e+03,
               -1.01460498e+04,  -2.78604454e+03,  -1.08137586e+05],
             [  1.19019222e+22,  -3.83174830e+26,  -1.49955710e+26,
               -1.27724943e+26,  -4.99852367e+25,  -2.25680430e+25],
             ...,
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