diff --git a/test/solvers/test_adaptive_regularization_with_cubics.jl b/test/solvers/test_adaptive_regularization_with_cubics.jl
index 65838aea0e..e48ab9d53e 100644
--- a/test/solvers/test_adaptive_regularization_with_cubics.jl
+++ b/test/solvers/test_adaptive_regularization_with_cubics.jl
@@ -147,7 +147,7 @@ include("../utils/example_tasks.jl")
         p1 = adaptive_regularization_with_cubics(
             M, f, grad_f, Hess_f, p0; θ=0.5, σ=100.0, retraction_method=PolarRetraction()
         )
-        @test abs(f(M, p1) - f_min) < 1e-14
+        @test abs(f(M, p1) - f_min) < 5e-14
         @test isapprox(M, p_min, p1)
         Random.seed!(42)
         p2 = adaptive_regularization_with_cubics(