diff --git a/verif/generator/tosa_arg_gen.py b/verif/generator/tosa_arg_gen.py
index 504bfa9..41ef4df 100644
--- a/verif/generator/tosa_arg_gen.py
+++ b/verif/generator/tosa_arg_gen.py
@@ -1979,7 +1979,7 @@
         return sparsity
 
     # Maximum number of error_if variants to produce
-    MAX_CONV_ERROR_IFS = 3
+    MAX_TESTS_ERROR_IFS = 3
 
     @staticmethod
     def agConv(testGen, rng, opName, shapeList, dtypes, error_name=None):
@@ -2252,7 +2252,7 @@
                                 )
                                 if (
                                     error_name
-                                    and len(arg_list) >= TosaArgGen.MAX_CONV_ERROR_IFS
+                                    and len(arg_list) >= TosaArgGen.MAX_TESTS_ERROR_IFS
                                 ):
                                     # Found enough errors
                                     logger.debug(
@@ -2691,12 +2691,15 @@
                         {x for x in itertools.product(*([[startPad, bigPadding]] * 4))}
                     )
 
-            # There are too many parameter combinations, so generate them sparsely,
-            # very sparse for negative tests
-            sparsity_factor = 2 if error_name else 500
-            sparsity = (
-                len(paddings) * len(strides) * len(kernels) // sparsity_factor + 1
-            )
+            if error_name:
+                # Cycle through all error_if tests but we only keep the first few
+                sparsity = 1
+            else:
+                # There are too many parameter combinations, so generate them sparsely
+                sparsity_factor = 500
+                sparsity = (
+                    len(paddings) * len(strides) * len(kernels) // sparsity_factor + 1
+                )
         else:
             # We have already limited test output combinations for 8k tests
             sparsity = 1
@@ -2732,6 +2735,7 @@
                 args_dict["acc_type"] = accum
             return (arg_str.format(*arg_str_elems), args_dict)
 
+        more_tests = True
         n = 0
         for a in accum_dtypes:
             for s in sorted(list(strides)):
@@ -2751,7 +2755,8 @@
                                     get_arg_list_element(a, sNew, pNew, kNew, shape)
                                 )
                         elif (
-                            n % sparsity == 0
+                            more_tests
+                            and n % sparsity == 0
                             # padding must not exceed the kernel size
                             and p[0] < k[0]
                             and p[1] < k[0]
@@ -2792,6 +2797,16 @@
                                 arg_list.append(
                                     get_arg_list_element(a, s, p, k, dp, shape)
                                 )
+                                if (
+                                    error_name
+                                    and len(arg_list) >= TosaArgGen.MAX_TESTS_ERROR_IFS
+                                ):
+                                    # Found enough errors
+                                    logger.debug(
+                                        f"Skipping creating more pooling error tests for {error_name}"
+                                    )
+                                    more_tests = False
+
                         n += 1
 
         # Now add data generator types