実行時に外部 Java クラスを動的にコンパイルしてロードするにはどうすればよいですか?

import javax.tools.*;
import java.io.File;
import java.io.IOException;
import java.io.Writer;
import java.net.URL;
import java.net.URLClassLoader;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;

public class DynamicCompiler {

    public static void main(String[] args) {
        // Create the source code
        String sourceCode = ...;

        // Compile the source code
        compile(sourceCode);

        // Load and execute the compiled class
        loadAndExecute();
    }

    private static void compile(String sourceCode) {
        // Create a diagnostic collector
        DiagnosticCollector<JavaFileObject> diagnostics = new DiagnosticCollector<>();

        // Create a file for the source code
        File sourceFile = ...;

        // Write the source code to the file
        try (Writer writer = new FileWriter(sourceFile)) {
            writer.write(sourceCode);
        } catch (IOException e) {
            e.printStackTrace();
        }

        // Create the compilation task
        JavaCompiler compiler = ToolProvider.getSystemJavaCompiler();
        StandardJavaFileManager fileManager = compiler.getStandardFileManager(diagnostics, null, null);
        CompilationUnit task = compiler.getTask(null, fileManager, diagnostics, null, 
             null, fileManager.getJavaFileObjectsFromFiles(Arrays.asList(sourceFile)));

        // Compile the source code
        task.call();

        // Check for errors
        for (Diagnostic<? extends JavaFileObject> diagnostic : diagnostics.getDiagnostics()) {
            System.out.println(diagnostic.getMessage(null));
        }
    }

    private static void loadAndExecute() {
        // Create a custom class loader
        URLClassLoader classLoader = new URLClassLoader(new URL[] {new File(".").toURI().toURL()});

        // Load the compiled class
        Class<?> loadedClass = classLoader.loadClass("...");

        // Create an instance of the loaded class
        Object instance = loadedClass.newInstance();

        // Execute the desired method
        ...
    }
}