diff --git a/test/external/fuzz_linearizer.py b/test/external/fuzz_linearizer.py
index 87ebd24f4f..fb935ac04b 100644
--- a/test/external/fuzz_linearizer.py
+++ b/test/external/fuzz_linearizer.py
@@ -33,6 +33,8 @@ def get_fuzz_rawbufs(lin):
         data = np.random.randint(-100, 100, size=rawbuf.size, dtype=rawbuf.dtype.np)
       elif rawbuf.dtype == dtypes.bool:
         data = np.random.choice([True, False], size=rawbuf.size)
+      elif rawbuf.dtype == dtypes.half:
+        data = np.random.uniform(-1, 1, size=rawbuf.size).astype(dtype=rawbuf.dtype.np)
       else:
         data = np.random.uniform(-10, 10, size=rawbuf.size).astype(dtype=rawbuf.dtype.np)
       rawbuf.copyin(Tensor(data).realize().lazydata.realized.as_buffer())
@@ -111,7 +113,7 @@ def compare_linearizer(lin: Linearizer, rawbufs=None, var_vals=None, ground_trut
 
   return ("PASS", rawbufs, var_vals, ground_truth,)
 
-def fuzz_linearizer(lin: Linearizer):
+def fuzz_linearizer(lin: Linearizer, rtol=1e-2, atol=1e-2):
   SEED = getenv("SEED", 42)
   random.seed(SEED)
   np.random.seed(SEED)
@@ -153,7 +155,7 @@ def fuzz_linearizer(lin: Linearizer):
 
         if not FUZZ_ALL_ACTIONS: print(test_lin.colored_shape())
 
-        (msg, rawbufs, var_vals, ground_truth) = compare_linearizer(test_lin, rawbufs, var_vals, ground_truth)
+        (msg, rawbufs, var_vals, ground_truth) = compare_linearizer(test_lin, rawbufs, var_vals, ground_truth, rtol=rtol, atol=atol)
         if msg != "PASS":
           print(test_lin.ast)
           print(test_lin.applied_opts)
@@ -178,6 +180,8 @@ if __name__ == "__main__":
   parser.add_argument("--ast", type=str, default=None, help="the ast for the kernel to be optimized")
   parser.add_argument("--file", type=str, default=None, help="a file containing asts to be optimized, one per line")
   parser.add_argument("--expected-failures", type=int, default=0, help="the number of expected failed kernels")
+  parser.add_argument("--rtol", type=float, default=1e-2, help="relative tolerance for numerical comparison")
+  parser.add_argument("--atol", type=float, default=1e-2, help="absolute tolerance for numerical comparison")
   args = parser.parse_args()
 
   if args.ast is not None:
@@ -206,7 +210,7 @@ if __name__ == "__main__":
     tested += 1
     lin = ast_str_to_lin(ast)
 
-    fuzz_failures = fuzz_linearizer(lin)
+    fuzz_failures = fuzz_linearizer(lin, rtol=args.rtol, atol=args.atol)
     if fuzz_failures: failed_ids.append(i)
     for k, v in fuzz_failures.items():
       for f in v: