Magento: Look up for 2 simple products associated to the same configurable but with same values for super attributes

gistfile1.php

<?php
require "app/Mage.php";

$debug = false;

Mage::app();

// Looking for 2 simple products associated to the same configurable but with same values for super attributes

$collectionConfigurable = Mage::getResourceModel('catalog/product_collection')
                ->addAttributeToFilter('type_id', array('eq' => 'configurable'));

foreach($collectionConfigurable as $product) {
    $attributes = array();

    if ($debug) {
        echo $product->getId();
        echo "\n";
    }

    $configurable_class = Mage::getModel('catalog/product_type_configurable');

    foreach($configurable_class->getConfigurableAttributes($product) as $attribute) {
        $attribute_code = $attribute->getProductAttribute()->getAttributeCode();
        $configurable_attributes[] = $attribute_code;

        $attributes[] = $attribute_code;
        if ($debug) echo "$attribute_code\n";
    }

    $children = $configurable_class->getChildrenIds($product->getId());

    $simples = array();

    if (!empty($children) && !empty($children[0])) {
        foreach($children[0] as $childId) {
            $arr_id = array();

            $child = Mage::getModel('catalog/product')->load($childId);
            foreach($attributes as $attribute) {
                $arr_id[] = $child->getData($attribute);
            }

            $id = implode('_',$arr_id);

            if (!isset($simples[$id])) {
                $simples[$id] = $child->getId();
            } else {
                echo "Conflict between {$child->getId()} and {$simples[$id]} in configurable {$product->getId()}\n";
            }
        }
    }
}