diff --git a/test/src/sigmoid_approx_test.cpp b/test/src/sigmoid_approx_test.cpp
index db16b30..cb647ca 100644
--- a/test/src/sigmoid_approx_test.cpp
+++ b/test/src/sigmoid_approx_test.cpp
@@ -6,7 +6,7 @@
 
 TEST_CASE ("Sigmoid Approx Test")
 {
-    const auto all_floats = test_helpers::all_32_bit_floats (-20.0f, 20.0f, 1.0e-5f);
+    const auto all_floats = test_helpers::all_32_bit_floats (-20.0f, 20.0f, 1.0e-3f);
     const auto y_exact = test_helpers::compute_all (all_floats, [] (auto x)
                                                     { return 1.0f / (1.0f + std::exp (-x)); });
 
diff --git a/test/src/tanh_approx_test.cpp b/test/src/tanh_approx_test.cpp
index 3031eed..f4d1ddb 100644
--- a/test/src/tanh_approx_test.cpp
+++ b/test/src/tanh_approx_test.cpp
@@ -6,7 +6,7 @@
 
 TEST_CASE ("Tanh Approx Test")
 {
-    const auto all_floats = test_helpers::all_32_bit_floats (-10.0f, 10.0f, 1.0e-5f);
+    const auto all_floats = test_helpers::all_32_bit_floats (-10.0f, 10.0f, 1.0e-3f);
     const auto y_exact = test_helpers::compute_all (all_floats, [] (auto x)
                                                     { return std::tanh (x); });