Github user clockfly commented on a diff in the pull request:

    https://github.com/apache/spark/pull/14976#discussion_r77726882
  
    --- Diff: 
sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/util/QuantileSummaries.scala
 ---
    @@ -59,9 +59,14 @@ class QuantileSummaries(
        * @param x the new observation to insert into the summary
        */
       def insert(x: Double): QuantileSummaries = {
    -    headSampled.append(x)
    +    headSampled += x
         if (headSampled.size >= defaultHeadSize) {
    -      this.withHeadBufferInserted
    +      val result = this.withHeadBufferInserted
    +      if (result.sampled.length >= compressThreshold) {
    +        result.compress()
    --- End diff --
    
    @srowen 
    I think the compression decision need to be related with relative error 
setting. (The smaller the relative error is, the less frequent we do 
compression)
    
    When implementing aggregation function percentile_approx, I have 
implemented compression like this:
    
    
https://github.com/apache/spark/blob/master/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/aggregate/ApproximatePercentile.scala#L214
    



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