diff --git a/public/dimensional_analysis.py b/public/dimensional_analysis.py
index 5b0c5662..4d6e1254 100644
--- a/public/dimensional_analysis.py
+++ b/public/dimensional_analysis.py
@@ -966,8 +966,8 @@ def ensure_dims_all_compatible(*args):
     if len(args) == 1:
         return first_arg
 
-    first_arg_dims = custom_get_dimensional_dependencies(first_arg)
-    if all(custom_get_dimensional_dependencies(arg) == first_arg_dims for arg in args[1:]):
+    first_arg_dims = normalize_dims_dict(custom_get_dimensional_dependencies(first_arg))
+    if all(normalize_dims_dict(custom_get_dimensional_dependencies(arg)) == first_arg_dims for arg in args[1:]):
         return first_arg
 
     raise TypeError('All input arguments to function need to have compatible units')
@@ -984,13 +984,13 @@ def ensure_dims_all_compatible_piecewise(*args):
     return ensure_dims_all_compatible(*[arg[0] for arg in args])
 
 def ensure_unitless_in_angle_out(arg):
-    if custom_get_dimensional_dependencies(arg) == {}:
+    if normalize_dims_dict(custom_get_dimensional_dependencies(arg)) == {}:
         return angle
     else:
         raise TypeError('Unitless input argument required for function')
 
 def ensure_unitless_in(arg):
-    if custom_get_dimensional_dependencies(arg) == {}:
+    if normalize_dims_dict(custom_get_dimensional_dependencies(arg)) == {}:
         return arg
     else:
         raise TypeError('Unitless input argument required for function')
@@ -1182,8 +1182,8 @@ def IndexMatrix(expression: Expr, i: Expr, j: Expr) -> Expr:
     return expression[i-1, j-1] # type: ignore
 
 def IndexMatrix_dims(dim_values: DimValues, expression: Expr, i: Expr, j: Expr) -> Expr:
-    if custom_get_dimensional_dependencies(i) != {} or \
-       custom_get_dimensional_dependencies(j) != {}:
+    if normalize_dims_dict(custom_get_dimensional_dependencies(i)) != {} or \
+       normalize_dims_dict(custom_get_dimensional_dependencies(j)) != {}:
         raise TypeError('Matrix Index Not Dimensionless')
 
     i_value = dim_values["args"][1]
@@ -1262,7 +1262,7 @@ def custom_pow(base: Expr, exponent: Expr):
         return Pow(base, exponent)
 
 def custom_pow_dims(dim_values: DimValues, base: Expr, exponent: Expr):
-    if custom_get_dimensional_dependencies(exponent) != {}:
+    if normalize_dims_dict(custom_get_dimensional_dependencies(exponent)) != {}:
         raise TypeError('Exponent Not Dimensionless')
     return Pow(base.evalf(PRECISION), (dim_values["args"][1]).evalf(PRECISION))
 
@@ -1726,7 +1726,7 @@ def get_dimensional_analysis_expression(parameter_subs: dict[Symbol, Expr],
 def custom_get_dimensional_dependencies(expression: Expr | None):
     if expression is not None:
         expression = subs_wrapper(expression, {cast(Symbol, symbol): S.One for symbol in (expression.free_symbols - dimension_symbols)})
-    return normalize_dims_dict(dimsys_SI.get_dimensional_dependencies(expression))
+    return dimsys_SI.get_dimensional_dependencies(expression)
 
 def dimensional_analysis(dimensional_analysis_expression: Expr | None, dim_sub_error: Exception | None,
                          custom_base_units: CustomBaseUnits | None = None):