human
Complete the below
def checkpoint_memory():

    ''''This test is meant to be run manually, since it depends on
    memory_profiler and its behavior may vary.'
    '''
assistant
#Here is the Python code you requested.
    try:
        from memory_profiler import memory_usage
    except ImportError:
        return
    def f(a):
        for _ in range(10):
            a = np.sin(((a ** 2) + 1))
        return a
    checkpointed_f = checkpoint(f)
    def testfun(f, x):
        for _ in range(5):
            x = f(x)
        return np.sum(x)
    gradfun = grad(testfun, 1)
    A = npr.RandomState(0).randn(100000)
    max_usage = max(memory_usage((gradfun, (f, A))))
    max_checkpointed_usage = max(memory_usage((gradfun, (checkpointed_f, A))))
    assert (max_checkpointed_usage < (max_usage / 2.0))