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result.getValue({
         name: "internalid",
         summary: "COUNT",
         label: "Internal ID"
      });


Assuming saved search is
var salesorderSearchObj = search.create({
   type: "salesorder",
   filters:
   [
      ["type","anyof","SalesOrd"]
   ],
   columns:
   [
      search.createColumn({
         name: "internalid",
         summary: "COUNT",
         label: "Internal ID"
      })
   ]
});
var searchResultCount = salesorderSearchObj.runPaged().count;
log.debug("salesorderSearchObj result count",searchResultCount);