diff --git a/thunder/core/proxies.py b/thunder/core/proxies.py
index 25fc08b775..99a99a27ab 100644
--- a/thunder/core/proxies.py
+++ b/thunder/core/proxies.py
@@ -1160,6 +1160,9 @@ def replace(self, **changes):
     def type_string(self):
         value_str = f"{self.value}" if self.value is not None else "?"
         type_str = "int" if self.python_type is int else "bool"
+        if not self.is_static_constrained():
+            # For non-static values, only show the type
+            return f"symbolic {type_str}"
         return f"{type_str} {value_str}"
 
     def __repr__(self):
@@ -1209,6 +1212,9 @@ def replace(self, **changes):
 
     def type_string(self):
         value_str = f"{self.value}" if self.value is not None else "?"
+        if not self.is_static_constrained():
+            # For non-static values, only show the type
+            return "symbolic float"
         return f"float {value_str}"
 
     def __repr__(self):
diff --git a/thunder/tests/test_jit_general.py b/thunder/tests/test_jit_general.py
index 3db72a1ec3..5f78d2c491 100644
--- a/thunder/tests/test_jit_general.py
+++ b/thunder/tests/test_jit_general.py
@@ -1630,6 +1630,44 @@ def test_cache_symbolic_values_nn_parameter_static_shape():
             assert isinstance(bsym.output.shape[1], thunder.core.proxies.IntegerProxy)
 
 
+def test_cache_symbolic_values_int_float_inputs():
+    def foo(a, b):
+        return a + b
+
+    jfoo = thunder_jit(foo, cache="symbolic values")
+
+    a = 1
+    b = 2.0
+    actual = jfoo(a, b)
+    expected = foo(a, b)
+
+    assert_close(actual, expected)
+    assert thunder.cache_misses(jfoo) == 1
+    assert thunder.cache_hits(jfoo) == 0
+
+    a = 2
+    b = 3.0
+    actual = jfoo(a, b)
+    expected = foo(a, b)
+
+    assert_close(actual, expected)
+    assert thunder.cache_misses(jfoo) == 1
+    assert thunder.cache_hits(jfoo) == 1
+
+    trc = thunder.last_traces(jfoo)[-1]
+    for bsym in trc.bound_symbols:
+        if bsym.sym.name == prims.PrimIDs.UNPACK_TRIVIAL:
+            assert isinstance(bsym.output, (IntegerProxy, FloatProxy))
+
+    trc_str = str(trc)
+    # Verify that symbolic inputs are not baked in as constants in the trace string
+    assert 'a: "int 1"' not in trc_str
+    assert 'b: "float 2.0"' not in trc_str
+
+    assert 'a: "symbolic int"' in trc_str
+    assert 'b: "symbolic float"' in trc_str
+
+
 def test_specific_dataclass_returns():
     import transformers