diff --git a/src/module-elasticsuite-core/Search/Request/Query/Fulltext/QueryBuilder.php b/src/module-elasticsuite-core/Search/Request/Query/Fulltext/QueryBuilder.php
index 21bb3ed7c..ef8954843 100644
--- a/src/module-elasticsuite-core/Search/Request/Query/Fulltext/QueryBuilder.php
+++ b/src/module-elasticsuite-core/Search/Request/Query/Fulltext/QueryBuilder.php
@@ -100,8 +100,8 @@ public function create(ContainerConfigurationInterface $containerConfig, $queryT
             $relevanceConfig = $containerConfig->getRelevanceConfig();
             if ($relevanceConfig->getSpanMatchBoost()) {
                 $spanQuery = $this->getSpanQuery($containerConfig, $queryText, $relevanceConfig->getSpanMatchBoost());
-                $spanQuery->setName('SPAN');
                 if ($spanQuery !== null) {
+                    $spanQuery->setName('SPAN');
                     $queryParams = [
                         'must'      => [$query],
                         'should'    => [$spanQuery],
diff --git a/src/module-elasticsuite-thesaurus/Model/Index.php b/src/module-elasticsuite-thesaurus/Model/Index.php
index 1613a315b..028842063 100644
--- a/src/module-elasticsuite-thesaurus/Model/Index.php
+++ b/src/module-elasticsuite-thesaurus/Model/Index.php
@@ -173,8 +173,9 @@ private function getCacheKey(ContainerConfigurationInterface $containerConfig, $
     private function getCacheTags(ContainerConfigurationInterface $containerConfig)
     {
         $storeId = $containerConfig->getStoreId();
+        $containerName = $containerConfig->getName();
 
-        return [$this->getIndexAlias($storeId)];
+        return [$this->getIndexAlias($storeId), $containerName];
     }
 
     /**
@@ -217,7 +218,7 @@ private function getConfig(ContainerConfigurationInterface $containerConfig)
     private function getSynonymRewrites($storeId, $queryText, $type, $maxRewrites)
     {
         $indexName        = $this->getIndexAlias($storeId);
-        $analyzedQueries  = $this->getQueryCombinations($storeId, $queryText);
+        $analyzedQueries  = $this->getQueryCombinations($storeId, str_replace('-', ' ', $queryText));
         $synonyms         = [];
 
         foreach ($analyzedQueries as $query) {
diff --git a/src/module-elasticsuite-virtual-category/Model/Rule.php b/src/module-elasticsuite-virtual-category/Model/Rule.php
index f515f243c..1dc3845cc 100644
--- a/src/module-elasticsuite-virtual-category/Model/Rule.php
+++ b/src/module-elasticsuite-virtual-category/Model/Rule.php
@@ -424,7 +424,16 @@ private function getVirtualCategoryQuery(
         $excludedCategories = []
     ): ?QueryInterface {
         $rootCategory = $this->getVirtualRootCategory($category);
-        if ($rootCategory && in_array($rootCategory->getId(), $excludedCategories)) {
+        // If the root category of the current virtual category has already been computed (exist in $excludedCategories)
+        // or if a parent of the root category of the current category has already been computed we don't need
+        // to compute the rule. All the product will already been present.
+        // For example, if you have the following category tree:
+        // - Category A (static)
+        // -   - Category B (static)
+        // -       - Category C (virtual with category B as root)
+        // When you compute the rule of the category A you do not need to compute the rule of the category C
+        // as all the product will be there.
+        if ($rootCategory && array_intersect(explode('/', $rootCategory->getPath()), $excludedCategories)) {
             return null;
         }