log actions in Laravel and execution time

You can use a Terminable Middleware to log the HTTP response after it has already been sent to the browser.

To get the total time you can compare the result of microtime(true) with the laravel constant LARAVEL_START. That constant is defined at bootstrap/autoload.php, the entry point of the framework

For instance, here is a middleware that will log in both HTTP headers and system log the response time. Since you have access to the current request in the $request variable you could leverage that to also log any parameters you want

<?php // File: app/Http/Middleware/MeasureResponseTime.php

namespace App\Http\Middleware;

use Symfony\Component\HttpFoundation\Request;
use Symfony\Component\HttpFoundation\Response;

class MeasureResponseTime
{
    /**
     * Handle an incoming HTTP request.
     *
     * @param  \Symfony\Component\HttpFoundation\Request $request
     * @param  \Closure $next
     * @return \Symfony\Component\HttpFoundation\Response
     */
    public function handle($request, \Closure $next)
    {
        $response = $next($request);

        // Add response time as an HTTP header. For better accuracy ensure this middleware
        // is added at the end of the list of global middlewares in the Kernel.php file
        if (defined('LARAVEL_START') and $response instanceof Response) {
            $response->headers->add(['X-RESPONSE-TIME' => microtime(true) - LARAVEL_START]);
        }

        return $response;
    }

    /**
     * Perform any final actions for the request lifecycle.
     *
     * @param  \Symfony\Component\HttpFoundation\Request $request
     * @param  \Symfony\Component\HttpFoundation\Response $response
     * @return void
     */
    public function terminate($request, $response)
    {
        // At this point the response has already been sent to the browser so any
        // modification to the response (such adding HTTP headers) will have no effect
        if (defined('LARAVEL_START') and $request instanceof Request) {
            app('log')->debug('Response time', [
                'method' => $request->getMethod(),
                'uri' => $request->getRequestUri(),
                'seconds' => microtime(true) - LARAVEL_START,
            ]);
        }
    }
}