diff --git a/src/storm/modelchecker/prctl/helper/SparseMdpPrctlHelper.cpp b/src/storm/modelchecker/prctl/helper/SparseMdpPrctlHelper.cpp
index 1e53cf314..2acc4f299 100644
--- a/src/storm/modelchecker/prctl/helper/SparseMdpPrctlHelper.cpp
+++ b/src/storm/modelchecker/prctl/helper/SparseMdpPrctlHelper.cpp
@@ -548,9 +548,10 @@ namespace storm {
 #ifndef NDEBUG
                 // As a sanity check, make sure our local upper bounds were in fact correct.
                 if (solver->hasUpperBound(storm::solver::AbstractEquationSolver<ValueType>::BoundType::Local)) {
+                    auto precision = storm::utility::convertNumber<ValueType>(storm::settings::getModule<storm::settings::modules::MinMaxEquationSolverSettings>().getPrecision());
                     auto resultIt = x.begin();
                     for (auto const& entry : solver->getUpperBounds()) {
-                        STORM_LOG_ASSERT(*resultIt <= entry, "Expecting result value for state " << std::distance(x.begin(), resultIt) << " to be <= " << entry << ", but got " << *resultIt << ".");
+                        STORM_LOG_ASSERT(*resultIt <= entry + precision, "Expecting result value for state " << std::distance(x.begin(), resultIt) << " to be <= " << entry << ", but got " << *resultIt << ".");
                         ++resultIt;
                     }
                 }
diff --git a/src/storm/solver/IterativeMinMaxLinearEquationSolver.cpp b/src/storm/solver/IterativeMinMaxLinearEquationSolver.cpp
index 8da065298..406dd46bb 100644
--- a/src/storm/solver/IterativeMinMaxLinearEquationSolver.cpp
+++ b/src/storm/solver/IterativeMinMaxLinearEquationSolver.cpp
@@ -1383,8 +1383,8 @@ namespace storm {
         template<typename ValueType>
         void IterativeMinMaxLinearEquationSolver<ValueType>::reportStatus(SolverStatus status, uint64_t iterations) {
             switch (status) {
-                case SolverStatus::Converged: STORM_LOG_INFO("Iterative solver converged after " << iterations << " iterations."); break;
-                case SolverStatus::TerminatedEarly: STORM_LOG_INFO("Iterative solver terminated early after " << iterations << " iterations."); break;
+                case SolverStatus::Converged: STORM_LOG_TRACE("Iterative solver converged after " << iterations << " iterations."); break;
+                case SolverStatus::TerminatedEarly: STORM_LOG_TRACE("Iterative solver terminated early after " << iterations << " iterations."); break;
                 case SolverStatus::MaximalIterationsExceeded: STORM_LOG_WARN("Iterative solver did not converge after " << iterations << " iterations."); break;
                 default:
                     STORM_LOG_THROW(false, storm::exceptions::InvalidStateException, "Iterative solver terminated unexpectedly.");