Clicking the "Play Simulation" button will refresh the query continuously, and add the result to the histogram. The "Step" button allows the query to be run once, as might occur in practice, and shows how uninformative the answer may be. As expected, we can see that each histogram has a Laplace distribution.*
This shows how multiple query runs will divulge the true value of the query. Of course this is not possible in practice, due to composition.
* I removed outliers at the tails of the distribution for clarity. This has no effect on the shape of the histogram shown.