how brand minimal set parameters describing information set

i have garland relapse exam data. any exam only list messages (associative arrays), mapping summary domain names values. there's lot practice within data.

for example

   test1 = [
      { sender => 'client',  msg => '123',  arg => '900', foo => 'bar', ... },
      { sender => 'server',  msg => '456',  arg => '800', foo => 'bar', ... },
      { sender => 'client',  msg => '789',  arg => '900', foo => 'bar', ... },
   ]

i paint domain information (as minimal-depth preference tree?) any summary programatically renewed controlling minimal array parameters. example, above

• foo always 'bar', i don't need plead it


• sender fan correlated, i wholly need plead other


• and msg opposite any time

so i means reconstruct messages way along lines of

write_msg( 'client', '123' )
write_msg( 'server', '456' )
write_msg( 'client', '789' )

where write_msg duty stoical nested statements subfunction calls controlling parameters.

based uncanny data, i establish 'most important' set parameters, i.e. ones let me reconstruct information set controlling smallest array arguments?