diff --git a/engine-proto/gram-test/Engine.jl b/engine-proto/gram-test/Engine.jl
index 01ca9a2..0a4303b 100644
--- a/engine-proto/gram-test/Engine.jl
+++ b/engine-proto/gram-test/Engine.jl
@@ -312,7 +312,7 @@ end
 function realize_gram(
   gram::SparseMatrixCSC{T, <:Any},
   guess::Matrix{T};
-  scaled_tol = 1e-16,
+  scaled_tol = 1e-30,
   min_efficiency = 0.5,
   init_rate = 1.0,
   backoff = 0.9,
diff --git a/engine-proto/gram-test/circles-in-triangle.jl b/engine-proto/gram-test/circles-in-triangle.jl
index aa24c0f..12975c2 100644
--- a/engine-proto/gram-test/circles-in-triangle.jl
+++ b/engine-proto/gram-test/circles-in-triangle.jl
@@ -86,7 +86,7 @@ L, history = Engine.realize_gram_gradient(gram, guess, scaled_tol = 0.01)
 L_pol, history_pol = Engine.realize_gram_newton(gram, L, rate = 0.3, scaled_tol = 1e-9)
 L_pol2, history_pol2 = Engine.realize_gram_newton(gram, L_pol)
 =#
-L, success, history = Engine.realize_gram(Engine.convertnz(Float64, gram), Float64.(guess))
+L, success, history = Engine.realize_gram(gram, guess)
 completed_gram = L'*Engine.Q*L
 println("Completed Gram matrix:\n")
 display(completed_gram)
diff --git a/engine-proto/gram-test/overlapping-pyramids.jl b/engine-proto/gram-test/overlapping-pyramids.jl
index 3c16e35..ee4c1fc 100644
--- a/engine-proto/gram-test/overlapping-pyramids.jl
+++ b/engine-proto/gram-test/overlapping-pyramids.jl
@@ -52,7 +52,7 @@ guess = hcat(
 L, history = Engine.realize_gram_gradient(gram, guess, scaled_tol = 0.01)
 L_pol, history_pol = Engine.realize_gram_newton(gram, L)
 =#
-L, success, history = Engine.realize_gram(Float64.(gram), Float64.(guess))
+L, success, history = Engine.realize_gram(gram, guess)
 completed_gram = L'*Engine.Q*L
 println("Completed Gram matrix:\n")
 display(completed_gram)