c.cs

using System;
using System.Text;
using BenchmarkDotNet.Attributes;
using BenchmarkDotNet.Running;

        var summary = BenchmarkRunner.Run<StringBenchmark>();

[MemoryDiagnoser]
public class StringBenchmark
{
    private string testVariable = "test";

    public StringBenchmark()
    {
        testVariable += Random.Shared.NextInt64();
    }

    [Benchmark]
    public void BenchmarkStringInterpolation()
    {
        TryCatchMethod(() => RecursiveMethodInterpolation(20));
    }

    [Benchmark]
    public void BenchmarkStringBuilder()
    {
        TryCatchMethod(() => RecursiveMethodStringBuilder(20));
    }
    
    [Benchmark]
    public void BenchmarkStringConc()
    {
        TryCatchMethod(() => RecursiveMethodInterpolationConc(20));
    }

    private void TryCatchMethod(Action action)
    {
        try
        {
            action();
        }
        catch (Exception ex)
        {
            string message = ex.Message;
            string stackTrace = ex.StackTrace;
        }
    }

    private void RecursiveMethodInterpolation(int depth)
    {
        if(depth == 0)
        {
            throw new Exception($"asdsadsad {testVariable} in element {testVariable} is not as my house");
        }

        RecursiveMethodInterpolation(depth - 1);
    }
    
    private void RecursiveMethodInterpolationConc(int depth)
    {
        if(depth == 0)
        {
            throw new Exception("asdsadsad" + testVariable + $"in element {testVariable} is not as my house");
        }

        RecursiveMethodInterpolationConc(depth - 1);
    }


    private void RecursiveMethodStringBuilder(int depth)
    {
        if(depth == 0)
        {
            StringBuilder stringBuilder = new StringBuilder();
            stringBuilder.Append("asdsadsad ");
            stringBuilder.Append(testVariable);
            stringBuilder.Append(" in element ");
            stringBuilder.Append(testVariable);
            stringBuilder.Append(" is not as my house");

            throw new Exception(stringBuilder.ToString());
        }

        RecursiveMethodStringBuilder(depth - 1);
    }
}

Method	Mean	Error	StdDev	Gen0	Allocated
BenchmarkStringInterpolation	138.87 us	2.754 us	5.688 us	2.9297	25.63 KB
BenchmarkStringBuilder	21.43 us	0.426 us	0.747 us	0.4272	3.57 KB
BenchmarkStringConc	20.79 us	0.410 us	1.044 us	0.3662	3.11 KB