Count "truthy" values in a 2d array

Given the following array $mm

Array
(
    [147] => Array
        (
            [pts_m] => 
            [pts_mreg] => 1
            [pts_cg] => 1
        )    
    [158] => Array
        (
            [pts_m] => 
            [pts_mreg] => 
            [pts_cg] => 0
        )

    [159] => Array
        (
            [pts_m] => 
            [pts_mreg] => 1
            [pts_cg] => 1
        )

)

When I run count(array_filter($mm)) I get 3 as result since it is not recursive.

count(array_filter($mm), COUNT_RECURSIVE) also will not do because I actually need to run the array_filter recursively, and then count its result.

So my question is: how do I recursively run array_filter($mm) in this case? My expected result here would be 4.

Please note that I am not using any callback so I can exclude false, null and empty.