diff --git a/src/Php/Parser/StdContainerParser.php b/src/Php/Parser/StdContainerParser.php
index ce41926b..99f1f1d8 100644
--- a/src/Php/Parser/StdContainerParser.php
+++ b/src/Php/Parser/StdContainerParser.php
@@ -103,7 +103,7 @@ trait StdContainerParser
     protected function getStdArrayDecl(string $type, array $sizes): string
     {
         $decl = str_repeat(self::TYPE_STD_ARRAY . '<', count($sizes));
-        $decl .= $type;
+        $decl .= $this->getStdContainerElementType($type);
         for ($i = count($sizes) - 1; $i >= 0; $i--) {
             $decl .= ', ' . $sizes[$i] . '>';
         }
@@ -454,6 +454,14 @@ trait StdContainerParser
         return $this->convertIntExpr($index);
     }
 
+    protected function getStdContainerElementType(string $type): string
+    {
+        return match ($type) {
+            self::TYPE_BIGINT, self::TYPE_BIGFLOAT, self::TYPE_DECIMAL, self::TYPE_STREAM => self::TYPE_VAR,
+            default => $type,
+        };
+    }
+
     protected function parseStdNativeType(NodeAbstract $expr, string $owner): string
     {
         if (!$this->isClassConstFetch($expr)) {
@@ -466,6 +474,9 @@ trait StdContainerParser
             'type_int' => self::TYPE_INT,
             'type_float' => self::TYPE_FLOAT,
             'type_bool' => self::TYPE_BOOL,
+            'type_bigint' => self::TYPE_BIGINT,
+            'type_bigfloat' => self::TYPE_BIGFLOAT,
+            'type_decimal' => self::TYPE_DECIMAL,
             default => $this->fatalError($expr, "An incorrect `{$owner}` definition"),
         };
     }
@@ -488,6 +499,7 @@ trait StdContainerParser
                     'type_array' => self::TYPE_ARRAY,
                     'type_object' => self::TYPE_OBJECT,
                     'type_any', 'type_var', 'type_variant' => self::TYPE_VAR,
+                    'type_stream' => self::TYPE_STREAM,
                     default => $this->fatalError($expr, "An incorrect `{$owner}` definition"),
                 },
                 'class' => null,
@@ -538,7 +550,11 @@ trait StdContainerParser
         $valueExpr = $this->parseExpr($expr);
         $class = $info['class'] ?? null;
         if ($class === null) {
-            return $this->convertExprFromType($info['type'], $valueExpr);
+            $targetType = $info['type'];
+            if ($targetType === self::TYPE_BIGINT || $targetType === self::TYPE_BIGFLOAT || $targetType === self::TYPE_DECIMAL || $targetType === self::TYPE_STREAM) {
+                return $this->convertStdVarBackedExpr($targetType, $valueExpr, $expr);
+            }
+            return $this->convertExprFromType($targetType, $valueExpr);
         }
         $rightClass = $this->detectClassOfExpr($expr);
         if ($rightClass !== '') {
@@ -550,6 +566,27 @@ trait StdContainerParser
         return 'php::toObject(' . $valueExpr . ', ' . $this->getClassEntryPtr($class) . ', true)';
     }
 
+    protected function convertStdVarBackedExpr(string $targetType, string $valueExpr, NodeAbstract $expr): string
+    {
+        $sourceType = $this->detectTypeOfExpr($expr);
+        if ($sourceType === $targetType) {
+            return $valueExpr;
+        }
+        if ($targetType === self::TYPE_STREAM) {
+            return $valueExpr;
+        }
+        if ($targetType === self::TYPE_BIGINT) {
+            return $this->convertBigIntExpr($valueExpr, $sourceType);
+        }
+        if ($targetType === self::TYPE_BIGFLOAT) {
+            return $this->convertBigFloatExpr($valueExpr, $sourceType);
+        }
+        if ($targetType === self::TYPE_DECIMAL) {
+            return $this->convertDecimalExpr($valueExpr, $sourceType, $expr);
+        }
+        return $valueExpr;
+    }
+
     protected function parseStdUnsafeCastAssign(string $var, Expr\StaticCall $expr): string
     {
         if (count($expr->args) !== 2) {
@@ -608,7 +645,7 @@ trait StdContainerParser
 
     protected function getStdMapDecl(string $containerType, string $keyType, string $valueType): string
     {
-        return $containerType . '<' . $keyType . ', ' . $valueType . '>';
+        return $containerType . '<' . $keyType . ', ' . $this->getStdContainerElementType($valueType) . '>';
     }
 
     protected function parseStdArray(string $var, Expr\StaticCall $expr): string
@@ -671,7 +708,7 @@ trait StdContainerParser
             }
             $size = $expr->args[1]->value->value;
         }
-        $decl = self::TYPE_STD_VECTOR . '<' . $type . '>';
+        $decl = self::TYPE_STD_VECTOR . '<' . $this->getStdContainerElementType($type) . '>';
         $this->context->stdContainers[$var] = $this->addStdTypeId([
             'kind' => 'vector',
             'decl' => $decl,
diff --git a/tests/aot/std-bigfloat/001.phpt b/tests/aot/std-bigfloat/001.phpt
new file mode 100644
index 00000000..704816a1
--- /dev/null
+++ b/tests/aot/std-bigfloat/001.phpt
@@ -0,0 +1,22 @@
+--TEST--
+std bigfloat: vector push_back and read
+--FILE--
+<?php
+
+function main() {
+    $v = std::vector(native_types::type_bigfloat);
+    $v[] = 3.14;
+    $v[] = 2.71;
+    $v[] = 100;
+
+    var_dump($v[0]->toString());
+    var_dump($v[1]->toString());
+    var_dump($v[2]->toString());
+    var_dump(count($v));
+}
+?>
+--EXPECT--
+string(18) "3.1400000000000001"
+string(4) "2.71"
+string(3) "100"
+int(3)
diff --git a/tests/aot/std-bigint/001.phpt b/tests/aot/std-bigint/001.phpt
new file mode 100644
index 00000000..8b329a68
--- /dev/null
+++ b/tests/aot/std-bigint/001.phpt
@@ -0,0 +1,22 @@
+--TEST--
+std bigint: vector push_back and read
+--FILE--
+<?php
+
+function main() {
+    $v = std::vector(native_types::type_bigint);
+    $v[] = 99;
+    $v[] = 88;
+    $v[] = 77;
+
+    var_dump($v[0]->toString());
+    var_dump($v[1]->toString());
+    var_dump($v[2]->toString());
+    var_dump(count($v));
+}
+?>
+--EXPECT--
+string(2) "99"
+string(2) "88"
+string(2) "77"
+int(3)
diff --git a/tests/aot/std-bigint/002.phpt b/tests/aot/std-bigint/002.phpt
new file mode 100644
index 00000000..03af679a
--- /dev/null
+++ b/tests/aot/std-bigint/002.phpt
@@ -0,0 +1,22 @@
+--TEST--
+std bigint: map set/get
+--FILE--
+<?php
+
+function main() {
+    $m = std::map(native_types::type_int, native_types::type_bigint);
+    $m[1] = 100;
+    $m[2] = 200;
+    $m[3] = 300;
+
+    var_dump($m[1]->toString());
+    var_dump($m[2]->toString());
+    var_dump($m[3]->toString());
+    var_dump(count($m));
+}
+?>
+--EXPECT--
+string(3) "100"
+string(3) "200"
+string(3) "300"
+int(3)
diff --git a/tests/aot/std-bigint/003.phpt b/tests/aot/std-bigint/003.phpt
new file mode 100644
index 00000000..3b51f0df
--- /dev/null
+++ b/tests/aot/std-bigint/003.phpt
@@ -0,0 +1,20 @@
+--TEST--
+std bigint: array write/read
+--FILE--
+<?php
+
+function main() {
+    $a = std::array(native_types::type_bigint, 5);
+    $a[0] = 42;
+    $a[1] = 84;
+    $a[2] = 126;
+
+    var_dump($a[0]->toString());
+    var_dump($a[1]->toString());
+    var_dump($a[2]->toString());
+}
+?>
+--EXPECT--
+string(2) "42"
+string(2) "84"
+string(3) "126"
diff --git a/tests/aot/std-bigint/004.phpt b/tests/aot/std-bigint/004.phpt
new file mode 100644
index 00000000..aa525a5b
--- /dev/null
+++ b/tests/aot/std-bigint/004.phpt
@@ -0,0 +1,20 @@
+--TEST--
+std bigint: foreach
+--FILE--
+<?php
+
+function main() {
+    $v = std::vector(native_types::type_bigint);
+    $v[] = 10;
+    $v[] = 20;
+    $v[] = 30;
+
+    $sum = 0;
+    foreach ($v as $k => $val) {
+        $sum = $sum + $val->toInt();
+    }
+    var_dump($sum);
+}
+?>
+--EXPECT--
+int(60)
diff --git a/tests/aot/std-decimal/001.phpt b/tests/aot/std-decimal/001.phpt
new file mode 100644
index 00000000..06584dc0
--- /dev/null
+++ b/tests/aot/std-decimal/001.phpt
@@ -0,0 +1,22 @@
+--TEST--
+std decimal: vector push_back and read
+--FILE--
+<?php
+
+function main() {
+    $v = std::vector(native_types::type_decimal);
+    $v[] = 3.14;
+    $v[] = 2.5;
+    $v[] = 100;
+
+    var_dump($v[0]->toString());
+    var_dump($v[1]->toString());
+    var_dump($v[2]->toString());
+    var_dump(count($v));
+}
+?>
+--EXPECT--
+string(4) "3.14"
+string(3) "2.5"
+string(3) "100"
+int(3)
diff --git a/tests/aot/std-stream/001.phpt b/tests/aot/std-stream/001.phpt
new file mode 100644
index 00000000..69476aea
--- /dev/null
+++ b/tests/aot/std-stream/001.phpt
@@ -0,0 +1,34 @@
+--TEST--
+std stream: vector push_back and use
+--FILE--
+<?php
+
+function main() {
+    $v = std::vector(complex_types::type_stream);
+    $tmpfile = tempnam(sys_get_temp_dir(), 'aot');
+
+    $fp = fopen($tmpfile, 'w+');
+    $fp->write("hello");
+    $v[] = $fp;
+
+    $fp2 = fopen($tmpfile, 'r');
+    $v[] = $fp2;
+
+    var_dump(count($v));
+
+    $r = $v[0];
+    $r->seek(0);
+    var_dump($r->read(5));
+
+    $r2 = $v[1];
+    var_dump($r2->read(5));
+
+    $v[0]->close();
+    $v[1]->close();
+    unlink($tmpfile);
+}
+?>
+--EXPECT--
+int(2)
+string(5) "hello"
+string(5) "hello"