using System;

using System.Threading.Tasks;

public class Program

{

    public static void Main()

    {

        var task = WriteToLogAsync();

        Console.WriteLine("The exception goes unnoticed");

        Task.Delay(500);

        var message = task.Exception.InnerExceptions[0].Message;

        Console.WriteLine(message); // This exception  is lost.

    }

    public static async Task WriteToLogAsync()

    {

        System.Console.WriteLine("Trying to write to the log");

        await Task.Yield();

        throw new Exception("This exception is lost");

    }

}