diff --git a/tests/test_sanitizer.py b/tests/test_sanitizer.py
index 3908977..2e7eb3a 100644
--- a/tests/test_sanitizer.py
+++ b/tests/test_sanitizer.py
@@ -394,6 +394,59 @@ def test_atomic_cas():
     # This test verifies that the operation doesn't crash
 
 
+# ======== Reduce Operations (max, min) =========
+def test_reduce_max_expr_eval():
+    """Test that max reduce operation evaluates correctly."""
+    # Test with array of values - create const SymbolicExpr with numpy array
+    input_arr = SymbolicExpr("const", np.array([1, 5, 3, 2]), tl.int32)
+    max_expr = SymbolicExpr("max", input_arr, None, False)
+    result, _ = max_expr.eval()
+    assert result == 5
+
+
+def test_reduce_min_expr_eval():
+    """Test that min reduce operation evaluates correctly."""
+    # Test with array of values - create const SymbolicExpr with numpy array
+    input_arr = SymbolicExpr("const", np.array([1, 5, 3, 2]), tl.int32)
+    min_expr = SymbolicExpr("min", input_arr, None, False)
+    result, _ = min_expr.eval()
+    assert result == 1
+
+
+def test_reduce_max_single_element():
+    """Test that max reduce operation works with single element."""
+    # Test with single element - create const SymbolicExpr with numpy array
+    input_arr = SymbolicExpr("const", np.array([42]), tl.int32)
+    max_expr = SymbolicExpr("max", input_arr, None, False)
+    result, _ = max_expr.eval()
+    assert result == 42
+
+
+def test_reduce_min_single_element():
+    """Test that min reduce operation works with single element."""
+    # Test with single element - create const SymbolicExpr with numpy array
+    input_arr = SymbolicExpr("const", np.array([42]), tl.int32)
+    min_expr = SymbolicExpr("min", input_arr, None, False)
+    result, _ = min_expr.eval()
+    assert result == 42
+
+
+def test_reduce_max_empty_array():
+    """Test that max reduce operation raises ValueError for empty array."""
+    input_arr = SymbolicExpr("const", np.array([]), tl.int32)
+    max_expr = SymbolicExpr("max", input_arr, None, False)
+    with pytest.raises(ValueError, match="Cannot compute max of empty array"):
+        max_expr.eval()
+
+
+def test_reduce_min_empty_array():
+    """Test that min reduce operation raises ValueError for empty array."""
+    input_arr = SymbolicExpr("const", np.array([]), tl.int32)
+    min_expr = SymbolicExpr("min", input_arr, None, False)
+    with pytest.raises(ValueError, match="Cannot compute min of empty array"):
+        min_expr.eval()
+
+
 # ======== Cache Ablation Tests =========
 
 # ---- Symbol Cache Tests ----
diff --git a/triton_viz/clients/sanitizer/sanitizer.py b/triton_viz/clients/sanitizer/sanitizer.py
index 118debc..ff62c5f 100644
--- a/triton_viz/clients/sanitizer/sanitizer.py
+++ b/triton_viz/clients/sanitizer/sanitizer.py
@@ -2,7 +2,7 @@
 from collections import namedtuple
 from collections.abc import Callable
 from dataclasses import dataclass, field
-from functools import cached_property
+from functools import cached_property, reduce
 from typing import Any, Optional, Union
 import re
 
@@ -1194,10 +1194,16 @@ def _to_z3(self) -> tuple[ArithRef, list]:
             self._z3 = Sum(arr)
 
         if self.op == "max":
-            raise NotImplementedError("_to_z3 of max is not implemented yet")
+            arr, self._constraints = self.input._to_z3()
+            if not arr:
+                raise ValueError("Cannot compute max of empty array")
+            self._z3 = reduce(lambda a, b: If(a >= b, a, b), arr)
 
         if self.op == "min":
-            raise NotImplementedError("_to_z3 of min is not implemented yet")
+            arr, self._constraints = self.input._to_z3()
+            if not arr:
+                raise ValueError("Cannot compute min of empty array")
+            self._z3 = reduce(lambda a, b: If(a <= b, a, b), arr)
 
         if self.op == "load" or self.op == "store":
             # Load and store operations