diff --git a/examples/crhmc_cooling_gaussians/volume_example.cpp b/examples/crhmc_cooling_gaussians/volume_example.cpp
index 22e1ccd56..d28fba051 100644
--- a/examples/crhmc_cooling_gaussians/volume_example.cpp
+++ b/examples/crhmc_cooling_gaussians/volume_example.cpp
@@ -16,25 +16,41 @@
 typedef double NT;
 typedef Cartesian<NT> Kernel;
 typedef typename Kernel::Point Point;
-typedef BoostRandomNumberGenerator<boost::mt19937, NT, 3> RNGType;
+typedef BoostRandomNumberGenerator<boost::mt11213b, double> RandomNumberGenerator;
 typedef HPolytope<Point> HPOLYTOPE;
 
-template <int simdLen>
 void calculateAndVerifyVolume(HPOLYTOPE& polytope) {
     int walk_len = 100;
     NT e = 0.1;
 
-    NT volume = volume_cooling_gaussians<CRHMCWalk, RNGType, HPOLYTOPE, 4>(polytope, e, walk_len);
+    RandomNumberGenerator rng(polytope.dimension());
+
+    NT volume = volume_cooling_gaussians<HPOLYTOPE, RandomNumberGenerator>(polytope, rng, e, walk_len);
 
     std::cout << "Volume " << volume << std::endl;
 }
 
 int main() {
     
-    HPOLYTOPE HP = generate_simplex<HPOLYTOPE>(2,false);
-    std::cout << "HPoly: " << std::endl;
-    HP.print();
-    calculateAndVerifyVolume<4>(HP);
-
+    HPOLYTOPE simplex = generate_simplex<HPOLYTOPE>(2, false);
+    std::cout << std::endl << "Simplex: " << std::endl;
+    simplex.print();
+    calculateAndVerifyVolume(simplex);
+    
+    HPOLYTOPE cube = generate_cube<HPOLYTOPE>(3, false);
+    std::cout << std::endl << "Cube: " << std::endl;
+    cube.print();
+    calculateAndVerifyVolume(cube);
+
+    HPOLYTOPE cross = generate_cross<HPOLYTOPE>(3, false);
+    std::cout << std::endl << "Cross: " << std::endl;
+    cross.print();
+    calculateAndVerifyVolume(cross);
+ 
+    HPOLYTOPE birkhoff = generate_birkhoff<HPOLYTOPE>(3);
+    std::cout << std::endl << "Birkhoff: " << std::endl;
+    birkhoff.print();
+    calculateAndVerifyVolume(birkhoff);
+    
     return 0;
 }
\ No newline at end of file
diff --git a/include/volume/volume_cooling_gaussians_crhmc.hpp b/include/volume/volume_cooling_gaussians_crhmc.hpp
index 6a48f49fa..7c0984a48 100644
--- a/include/volume/volume_cooling_gaussians_crhmc.hpp
+++ b/include/volume/volume_cooling_gaussians_crhmc.hpp
@@ -15,6 +15,7 @@
 #include "random_walks/gaussian_cdhr_walk.hpp"
 #include "sampling/random_point_generators.hpp"
 #include "volume/math_helpers.hpp"
+#include "random_walks/random_walks.hpp"
 
 //new include for crhmc
 #include "Eigen/Eigen"
@@ -53,28 +54,6 @@ using RNG = BoostRandomNumberGenerator<boost::mt19937, NT>;
 using Input = crhmc_input<MT, Point, Func, Grad, Hess>;
 using CrhmcProblem = crhmc_problem<Point, Input>;
 
-
-/////////////////// Helpers for random walks
-
-template <typename WalkType>
-struct update_delta
-{
-    template <typename NT>
-    static void apply(WalkType& walk, NT delta) {}
-};
-
-template <typename Polytope, typename RandomNumberGenerator>
-struct update_delta<GaussianBallWalk::Walk<Polytope, RandomNumberGenerator>>
-{
-    template <typename NT>
-    static void apply(GaussianBallWalk::Walk<Polytope, RandomNumberGenerator> walk,
-                      NT delta)
-    {
-        walk.update_delta(delta);
-    }
-};
-
-
 ////////////////////////////// Algorithms
 
 // Gaussian Anealling
@@ -298,11 +277,6 @@ void compute_annealing_schedule(Polytope& P,
         //create the walk object for this problem
         WalkType walk = WalkType(problem, p, input.df, input.f, params);
 
-        //TODO: test update delta here?
-        update_delta<WalkType>
-                ::apply(walk, 4.0 * chebychev_radius
-                        / std::sqrt(std::max(NT(1.0), a_vals[it]) * NT(n)));
-
         // Compute the next gaussian
         NT next_a = get_next_gaussian<WalkType, walk_params, RandomPointGenerator, simdLen>
                       (P, p, a_vals[it], N, ratio, C, walk_length, rng, g, f, params, problem, walk);
@@ -369,10 +343,10 @@ struct gaussian_annealing_parameters
 
 template
 <
-    typename WalkTypePolicy,
     typename Polytope,
     typename RandomNumberGenerator,
-    int simdLen
+    typename WalkTypePolicy = CRHMCWalk,
+    int simdLen = 8
 >
 double volume_cooling_gaussians(Polytope& Pin,
                                 RandomNumberGenerator& rng,
@@ -515,11 +489,6 @@ double volume_cooling_gaussians(Polytope& Pin,
 
         WalkType walk = WalkType(problem, p, input.df, input.f, params);
 
-
-        update_delta<WalkType>
-                ::apply(walk, 4.0 * radius
-                         / std::sqrt(std::max(NT(1.0), *avalsIt) * NT(n)));
-
         while (!done || (*itsIt)<min_steps)
         {
             walk.template apply(rng, walk_length);
@@ -578,39 +547,4 @@ double volume_cooling_gaussians(Polytope& Pin,
     return vol;
 }
 
-
-template
-<
-    typename WalkTypePolicy = GaussianCDHRWalk,
-    typename RandomNumberGenerator = BoostRandomNumberGenerator<boost::mt11213b, double>,
-    typename Polytope,
-    int simdLen
->
-double volume_cooling_gaussians(Polytope &Pin,
-                                 double const& error = 0.1,
-                                 unsigned int const& walk_length = 1)
-{
-    RandomNumberGenerator rng(Pin.dimension());
-    return volume_cooling_gaussians<WalkTypePolicy, Polytope, RandomNumberGenerator, simdLen>(Pin, rng, error, walk_length);
-}
-
-
-template
-<
-    typename WalkTypePolicy = GaussianCDHRWalk,
-    typename RandomNumberGenerator = BoostRandomNumberGenerator<boost::mt11213b, double>,
-    typename Polytope,
-    int simdLen
->
-double volume_cooling_gaussians(Polytope &Pin,
-                                Cartesian<double>::Point const& interior_point,
-                                unsigned int const& walk_length = 1,
-                                double const& error = 0.1)
-{
-    RandomNumberGenerator rng(Pin.dimension());
-    Pin.set_interior_point(interior_point);
-
-    return volume_cooling_gaussians<WalkTypePolicy, Polytope, RandomNumberGenerator, simdLen>(Pin, rng, error, walk_length);
-}
-
 #endif // VOLUME_COOLING_GAUSSIANS_HPP
\ No newline at end of file