diff --git a/src/shogun/machine/gp/MultiLaplacianInferenceMethod.cpp b/src/shogun/machine/gp/MultiLaplacianInferenceMethod.cpp
index feccaecf2ee..be1e76a69f9 100644
--- a/src/shogun/machine/gp/MultiLaplacianInferenceMethod.cpp
+++ b/src/shogun/machine/gp/MultiLaplacianInferenceMethod.cpp
@@ -363,7 +363,9 @@ void CMultiLaplacianInferenceMethod::update_alpha()
 	}
 
 	if (Psi_Old-Psi_New>m_tolerance && iter>=m_iter)
-		SG_WARNING("Max iterations attained but the optimizer is not converged\n");
+	{
+		SG_WARNING("Max iterations (%d) reached, but convergence level (%f) is not yet below tolerance (%f)\n", m_iter, Psi_Old-Psi_New, m_tolerance);
+	}
 }
 
 void CMultiLaplacianInferenceMethod::update_deriv()
diff --git a/src/shogun/machine/gp/SingleFITCLaplacianInferenceMethod.cpp b/src/shogun/machine/gp/SingleFITCLaplacianInferenceMethod.cpp
index 5eb5be74c18..05a22908f6d 100644
--- a/src/shogun/machine/gp/SingleFITCLaplacianInferenceMethod.cpp
+++ b/src/shogun/machine/gp/SingleFITCLaplacianInferenceMethod.cpp
@@ -425,8 +425,11 @@ void CSingleFITCLaplacianInferenceMethod::update_alpha()
 		float64_t x;
 		Psi_New=local_min(0, m_opt_max, m_opt_tolerance, func, x);
 	}
+
 	if (Psi_Old-Psi_New>m_tolerance && iter>=m_iter)
-		SG_WARNING("Max iterations attained but the optimizer is not converged\n");
+	{
+		SG_WARNING("Max iterations (%d) reached, but convergence level (%f) is not yet below tolerance (%f)\n", m_iter, Psi_Old-Psi_New, m_tolerance);
+	}
 
 	// compute f = K * alpha + m
 	SGVector<float64_t> tmp=compute_mvmK(m_al);
diff --git a/src/shogun/machine/gp/SingleLaplacianInferenceMethod.cpp b/src/shogun/machine/gp/SingleLaplacianInferenceMethod.cpp
index 269769dca96..d3e0f9b4b62 100644
--- a/src/shogun/machine/gp/SingleLaplacianInferenceMethod.cpp
+++ b/src/shogun/machine/gp/SingleLaplacianInferenceMethod.cpp
@@ -382,8 +382,11 @@ void CSingleLaplacianInferenceMethod::update_alpha()
 		float64_t x;
 		Psi_New=local_min(0, m_opt_max, m_opt_tolerance, func, x);
 	}
+
 	if (Psi_Old-Psi_New>m_tolerance && iter>=m_iter)
-		SG_WARNING("Max iterations attained but the optimizer is not converged\n");
+	{
+		SG_WARNING("Max iterations (%d) reached, but convergence level (%f) is not yet below tolerance (%f)\n", m_iter, Psi_Old-Psi_New, m_tolerance);
+	}
 
 	// compute f = K * alpha + m
 	eigen_mu=eigen_ktrtr*CMath::sq(m_scale)*eigen_alpha+eigen_mean;