I have two multiindexed dataframes, one with two levels and one with three. The first two levels match in both dataframes. I would like to find all values from the first dataframe where the first two index levels match in the second dataframe. The second data frame does not have a third level.
The closest answer I have found is this: How to slice one MultiIndex DataFrame with the MultiIndex of another -- however the setup is slightly different and doesn't seem to translate to this case.
Consider the setup below
array_1 = [np.array(['bar', 'bar', 'baz', 'baz', 'foo', 'foo', 'qux', 'qux']),
np.array(['one', 'two', 'one', 'two', 'one', 'two', 'one', 'two']),
np.array(['a', 'a','a', 'a','b','b','b','b' ])]
array_2 = [np.array(['bar', 'bar', 'baz', 'baz', 'foo', 'foo', 'qux', 'qux']),
      np.array(['one', 'two', 'three', 'one', 'two', 'two', 'one', 'two'])]
df_1 = pd.DataFrame(np.random.randn(8,4), index=array_1).sort_index()
print df_1
                  0         1         2         3
bar one a  1.092651 -0.325324  1.200960 -0.790002
    two a -0.415263  1.006325 -0.077898  0.642134
baz one a -0.343707  0.474817  0.396702 -0.379066
    two a  0.315192 -1.548431 -0.214253 -1.790330
foo one b  1.022050 -2.791862  0.172165  0.924701
    two b  0.622062 -0.193056 -0.145019  0.763185
qux one b -1.241954 -1.270390  0.147623 -0.301092
    two b  0.778022  1.450522  0.683487 -0.950528
df_2 = pd.DataFrame(np.random.randn(8,4), index=array_2).sort_index()
print df_2
                  0         1         2         3
bar one   -0.354889 -1.283470 -0.977933 -0.601868
    two   -0.849186 -2.455453  0.790439  1.134282
baz one   -0.143299  2.372440 -0.161744  0.919658
    three -1.008426 -0.116167 -0.268608  0.840669
foo two   -0.644028  0.447836 -0.576127 -0.891606
    two   -0.163497 -1.255801 -1.066442  0.624713
qux one   -1.545989 -0.422028 -0.489222 -0.357954
    two   -1.202655  0.736047 -1.084002  0.732150
Now I query the second, dataframe, returning a subset of the original indexes
df_2_selection = df_2[(df_2 > 1).any(axis=1)]
print df_2_selection
                0         1         2         3
bar two -0.849186 -2.455453  0.790439  1.134282
baz one -0.143299  2.372440 -0.161744  0.919658
I would like to find all the values in df_1 that match the indices found in df_2. The first two levels line up, but the third does not.
This problem is easy when the indices line up, and would be solved by something like df_1.loc[df_2_selection.index] #this works if indexes are the same
Also I can find thhe values which match one of the levels with something like 
    df_1[df_1.index.isin(df_2_selection.index.get_level_values(0),level = 0)] but this does not solve the problem. 
Chaining these statements together does not provide the desired functionality
df_1[(df_1.index.isin(df_2_selection.index.get_level_values(0),level = 0)) & (df_1.index.isin(df_2_selection.index.get_level_values(1),level = 1))]
I envision something along the lines of:
df_1_select = df_1[(df_1.index.isin(
    df_2_selection.index.get_level_values([0,1]),level = [0,1])) #Doesnt Work
print df_1_select
                  0         1         2         3
bar two a -0.415263  1.006325 -0.077898  0.642134
baz one a -0.343707  0.474817  0.396702 -0.379066
I have tried many other methods, all of which have not worked exactly how I wanted. Thank you for your consideration.
EDIT:
This 
df_1.loc[pd_idx[df_2_selection.index.get_level_values(0),df_2_selection.index.get_level_values(1),:],:] Also does not work
I want only the rows where both levels match. Not where either level match.
EDIT 2: This solution was posted by someone who has since deleted it
id=[x+([x for x in df_1.index.levels[-1]]) for x in df_2_selection.index.values]
pd.concat([df_1.loc[x] for x in id])
Which indeed does work! However on large dataframes it is prohibitively slow. Any help with new methods / speedup is greatly appreciated.
 
     
    