diff --git a/lib/cretonne/meta/cdsl/ast.py b/lib/cretonne/meta/cdsl/ast.py
index 4207253684..0a9b5eece4 100644
--- a/lib/cretonne/meta/cdsl/ast.py
+++ b/lib/cretonne/meta/cdsl/ast.py
@@ -350,8 +350,8 @@ class Apply(Expr):
         on this instruction.
 
         Immediate operands in a source pattern can be either free variables or
-        constants like `Enumerator`. We don't currently support constraints on
-        free variables, but we may in the future.
+        constants like `ConstantInt` and `Enumerator`. We don't currently
+        support constraints on free variables, but we may in the future.
         """
         pred = None  # type: PredNode
         iform = self.inst.format
@@ -415,6 +415,12 @@ class Apply(Expr):
                 else:
                     if (s[self_a] != other_a):
                         return None
+            elif isinstance(self_a, ConstantInt):
+                if not isinstance(other_a, ConstantInt):
+                    return None
+                assert self_a.kind == other_a.kind
+                if (self_a.value != other_a.value):
+                    return None
             else:
                 assert isinstance(self_a, Enumerator)
 
@@ -430,6 +436,32 @@ class Apply(Expr):
         return s
 
 
+class ConstantInt(Expr):
+    """
+    A value of an integer immediate operand.
+
+    Immediate operands like `imm64` or `offset32` can be specified in AST
+    expressions using the call syntax: `imm64(5)` which greates a `ConstantInt`
+    node.
+    """
+
+    def __init__(self, kind, value):
+        # type: (ImmediateKind, int) -> None
+        self.kind = kind
+        self.value = value
+
+    def __str__(self):
+        # type: () -> str
+        """
+        Get the Rust expression form of this constant.
+        """
+        return str(self.value)
+
+    def __repr__(self):
+        # type: () -> str
+        return '{}({})'.format(self.kind, self.value)
+
+
 class Enumerator(Expr):
     """
     A value of an enumerated immediate operand.
diff --git a/lib/cretonne/meta/cdsl/operands.py b/lib/cretonne/meta/cdsl/operands.py
index 44bae5d500..abf409a8c4 100644
--- a/lib/cretonne/meta/cdsl/operands.py
+++ b/lib/cretonne/meta/cdsl/operands.py
@@ -8,7 +8,7 @@ try:
     from typing import Union, Dict, TYPE_CHECKING  # noqa
     OperandSpec = Union['OperandKind', ValueType, TypeVar]
     if TYPE_CHECKING:
-        from .ast import Enumerator  # noqa
+        from .ast import Enumerator, ConstantInt  # noqa
 except ImportError:
     pass
 
@@ -107,6 +107,20 @@ class ImmediateKind(OperandKind):
                         n=self.name, a=value))
         return Enumerator(self, value)
 
+    def __call__(self, value):
+        # type: (int) -> ConstantInt
+        """
+        Create an AST node representing a constant integer:
+
+            iconst(imm64(0))
+        """
+        from .ast import ConstantInt  # noqa
+        if self.values:
+            raise AssertionError(
+                    "{}({}): Can't make a constant numeric value for an enum"
+                    .format(self.name, value))
+        return ConstantInt(self, value)
+
     def rust_enumerator(self, value):
         # type: (str) -> str
         """