diff --git a/source/adios2/common/ADIOSTypes.h b/source/adios2/common/ADIOSTypes.h
index d93acad679..bfc0ef6df0 100644
--- a/source/adios2/common/ADIOSTypes.h
+++ b/source/adios2/common/ADIOSTypes.h
@@ -427,6 +427,8 @@ constexpr char MDR[] = "mdr";
 
 namespace mdr
 {
+constexpr double DOUBLE_ROUNDING_ERROR_LIMIT = 5.0e-16;
+constexpr double FLOAT_ROUNDING_ERROR_LIMIT = 3.0e-7;
 namespace key
 {}
 }
diff --git a/source/adios2/operator/refactor/RefactorMDR.cpp b/source/adios2/operator/refactor/RefactorMDR.cpp
index a78c2e012c..b2a5518bfa 100644
--- a/source/adios2/operator/refactor/RefactorMDR.cpp
+++ b/source/adios2/operator/refactor/RefactorMDR.cpp
@@ -462,7 +462,16 @@ size_t RefactorMDR::ReconstructV1(const char *bufferIn, const size_t sizeIn, cha
         std::cout << ")\n";
     }*/
 
-    m_AccuracyProvided.error = m_AccuracyRequested.error;
+    if (type == DataType::FloatComplex || type == DataType::Float)
+    {
+        m_AccuracyProvided.error =
+            std::max(m_AccuracyRequested.error, adios2::ops::mdr::FLOAT_ROUNDING_ERROR_LIMIT);
+    }
+    else
+    {
+        m_AccuracyProvided.error =
+            std::max(m_AccuracyRequested.error, adios2::ops::mdr::DOUBLE_ROUNDING_ERROR_LIMIT);
+    }
     m_AccuracyProvided.norm = m_AccuracyRequested.norm;
     m_AccuracyProvided.relative = false; // should be m_AccuracyRequested.relative
 
diff --git a/testing/adios2/engine/bp/operations/TestBPWriteReadMGARDMDR.cpp b/testing/adios2/engine/bp/operations/TestBPWriteReadMGARDMDR.cpp
index f99042b67c..084e21631b 100644
--- a/testing/adios2/engine/bp/operations/TestBPWriteReadMGARDMDR.cpp
+++ b/testing/adios2/engine/bp/operations/TestBPWriteReadMGARDMDR.cpp
@@ -24,9 +24,6 @@ class BPWriteReadMGARDMDR : public ::testing::TestWithParam<std::string>
     virtual void TearDown(){};
 };
 
-constexpr double DOUBLE_ERROR_TOLERANCE = 5.0e-16;
-constexpr float FLOAT_ERROR_TOLERANCE = 3.0e-7;
-
 TEST_F(BPWriteReadMGARDMDR, BPWRMGARD1D)
 {
     // Refactor a dataset with MDR, then
@@ -141,15 +138,19 @@ TEST_F(BPWriteReadMGARDMDR, BPWRMGARD1D)
                 bpReader.Get(var_r32, read32s, adios2::Mode::Sync);
                 bpReader.Get(var_r64, read64s, adios2::Mode::Sync);
 
-                auto accuracyGot = var_r32.GetAccuracy();
-                assert(accuracyGot.error == accuracyRequested.error);
-                assert(accuracyGot.norm == accuracyRequested.norm);
-                assert(accuracyGot.relative == accuracyRequested.relative);
+                auto accuracyGot32 = var_r32.GetAccuracy();
+                assert(accuracyGot32.error <=
+                       std::max(accuracyRequested.error,
+                                adios2::ops::mdr::FLOAT_ROUNDING_ERROR_LIMIT));
+                assert(accuracyGot32.norm == accuracyRequested.norm);
+                assert(accuracyGot32.relative == accuracyRequested.relative);
 
-                accuracyGot = var_r64.GetAccuracy();
-                assert(accuracyGot.error == accuracyRequested.error);
-                assert(accuracyGot.norm == accuracyRequested.norm);
-                assert(accuracyGot.relative == accuracyRequested.relative);
+                auto accuracyGot64 = var_r64.GetAccuracy();
+                assert(accuracyGot64.error <=
+                       std::max(accuracyRequested.error,
+                                adios2::ops::mdr::DOUBLE_ROUNDING_ERROR_LIMIT));
+                assert(accuracyGot64.norm == accuracyRequested.norm);
+                assert(accuracyGot64.relative == accuracyRequested.relative);
 
                 double maxDiff = 0.0, relativeMaxDiff = 0.0;
                 size_t maxDiffPos = 0;
@@ -167,10 +168,10 @@ TEST_F(BPWriteReadMGARDMDR, BPWRMGARD1D)
                 auto r64s_Max = std::max_element(r64s.begin(), r64s.end());
                 relativeMaxDiff = maxDiff / *r64s_Max;
                 std::cout << "double array: Relative Max Diff " << relativeMaxDiff << " Max Diff "
-                          << maxDiff << " requested error " << error << " max diff pos "
-                          << maxDiffPos << " orig value " << r64s[maxDiffPos] << " read value "
-                          << read64s[maxDiffPos] << "\n";
-                ASSERT_LE(maxDiff, error + DOUBLE_ERROR_TOLERANCE);
+                          << maxDiff << " requested error " << error << " result error "
+                          << accuracyGot64.error << " max diff pos " << maxDiffPos << " orig value "
+                          << r64s[maxDiffPos] << " read value " << read64s[maxDiffPos] << "\n";
+                ASSERT_LE(maxDiff, accuracyGot64.error);
 
                 for (size_t i = 0; i < Nx; ++i)
                 {
@@ -178,6 +179,7 @@ TEST_F(BPWriteReadMGARDMDR, BPWRMGARD1D)
                     if (diff > maxDiff)
                     {
                         maxDiff = diff;
+                        maxDiffPos = i;
                     }
                 }
 
@@ -185,8 +187,10 @@ TEST_F(BPWriteReadMGARDMDR, BPWRMGARD1D)
                 relativeMaxDiff = maxDiff / *r32s_Max;
 
                 std::cout << "float array: Relative Max Diff " << relativeMaxDiff << " Max Diff "
-                          << maxDiff << " requested error " << error << "\n";
-                ASSERT_LE(maxDiff, error + FLOAT_ERROR_TOLERANCE);
+                          << maxDiff << " requested error " << error << " result error "
+                          << accuracyGot32.error << " max diff pos " << maxDiffPos << " orig value "
+                          << r32s[maxDiffPos] << " read value " << read32s[maxDiffPos] << "\n";
+                ASSERT_LE(maxDiff, accuracyGot32.error);
             }
             bpReader.EndStep();
             ++t;