Costs for foreign queries are either obtained from the foreign server using EXPLAIN (if use_remote_estimate is ON) otherwise they are cooked up locally based on the statistics available. For joins as well, we have to do the same. If use_remote_estimates [1] is ON, we can get the costs from the foreign server. Rest of the mail discusses approaches for estimating the costs when use_remote_estimates is OFF.
1. Unlike base relations where the table data "has to be" fetched from the foreign server, a join doesn't "have to be" fetched from the foreign server. So, even if use_remote_estimate is OFF for a base relation, we do try to estimate something locally. But for a join that's not compulsory, so we can choose not to estimate anything and not push down the join if use_remote_estimate is OFF. Whether we do that depends upon how well we can estimate the join cost when use_remote_estimate is OFF.
2. Locally estimating the cost of join that will be performed on the foreign server is difficult because we do not know which join strategy the foreign server is going to use, which in turn depends upon the availability of indexes, work memory, statistics about joining expressions etc. One way to do this is to use the cost of cheapest local join path built upon foreign outer and inner paths, to estimate the cost of executing the join at the foreign server The startup and run time costs for sending, parsing and planning query at the foreign server as well as the cost to fetch the tuples need to be adjusted, so that it doesn't get counted twice. We may assume that the cost for the foreign join will be some factor of the adjusted cost, like we have done for estimating cost of sort pushdown. The reason we choose cheapest path with foreign inner and outer paths is because that's likely to be a closer to the real estimate than the path which does not have foreign inner and outer paths. In the absence of such path, we should probably not push the join down since no local path has found pushing inner and outer to be cheaper and it's likely (certainly not a rule) that pushing the join in question down is not going to be cheaper than the local paths.
1st option is easy but it sounds too restrictive. 2nd option liberal but is complex.
Any other ideas as to how we can estimate cost of foreign join when use_remote_estimate is OFF?