diff --git a/src/copapy/_math.py b/src/copapy/_math.py
index 4f4d2a8..2fe33d8 100644
--- a/src/copapy/_math.py
+++ b/src/copapy/_math.py
@@ -16,6 +16,22 @@ def sqrt(x: NumLike) -> variable[float] | float:
     return float(x ** 0.5)
 
 
+@overload
+def sqrt2(x: float | int) -> float: ...
+@overload
+def sqrt2(x: variable[Any]) -> variable[float]: ...
+def sqrt2(x: NumLike) -> variable[float] | float:
+    """Square root function"""
+    if isinstance(x, variable):
+        return add_op('sqrt2', [x, x])  # TODO: fix 2. dummy argument
+    return float(x ** 0.5)
+
+
+def get_42() -> variable[float]:
+    """Returns the variable representing the constant 42"""
+    return add_op('get_42', [0.0, 0.0])
+
+
 def abs(x: T) -> T:
     """Absolute value function"""
     ret = (x < 0) * -x + (x >= 0) * x
diff --git a/stencils/aux_functions.c b/stencils/aux_functions.c
index c166acf..97b28eb 100644
--- a/stencils/aux_functions.c
+++ b/stencils/aux_functions.c
@@ -12,7 +12,7 @@ __attribute__((noinline)) int floor_div(float arg1, float arg2) {
     return i;
 }
 
-__attribute__((noinline)) float fast_sqrt2(float n) {
+__attribute__((noinline)) float sqrt(float n) {
     if (n < 0) return -1;
 
     float x = n;             // initial guess
@@ -25,8 +25,12 @@ __attribute__((noinline)) float fast_sqrt2(float n) {
     return x;
 }
 
-__attribute__((noinline)) float fast_sqrt(float n) {
-    return n * 3.5 + 4.5;
+__attribute__((noinline)) float sqrt2(float n) {
+    return n * 20.5 + 4.5;
+}
+
+__attribute__((noinline)) float get_42(float n) {
+    return n * + 42.0;
 }
 
 float fast_pow_float(float base, float exponent) {
diff --git a/stencils/generate_stencils.py b/stencils/generate_stencils.py
index 81fbbd7..d26ee88 100644
--- a/stencils/generate_stencils.py
+++ b/stencils/generate_stencils.py
@@ -79,10 +79,10 @@ def get_cast(type1: str, type2: str, type_out: str) -> str:
 
 
 @norm_indent
-def get_sqrt(type1: str, type2: str) -> str:
+def get_func2(func_name: str, type1: str, type2: str) -> str:
     return f"""
-    {stencil_func_prefix}void sqrt_{type1}_{type2}({type1} arg1, {type2} arg2) {{
-        result_float_{type2}(fast_sqrt((float)arg1), arg2);
+    {stencil_func_prefix}void {func_name}_{type1}_{type2}({type1} arg1, {type2} arg2) {{
+        result_float_{type2}({func_name}((float)arg1), arg2);
     }}
     """
 
@@ -213,7 +213,9 @@ if __name__ == "__main__":
         code += get_cast(t1, t2, t_out)
 
     for t1, t2 in permutate(types, types):
-        code += get_sqrt(t1, t2)
+        code += get_func2('sqrt', t1, t2)
+        code += get_func2('sqrt2', t1, t2)
+        code += get_func2('get_42', t1, t2)
 
     for op, t1, t2 in permutate(ops, types, types):
         t_out = t1 if t1 == t2 else 'float'
diff --git a/tests/test_vector.py b/tests/test_vector.py
index 51ba3a9..cbae5a2 100644
--- a/tests/test_vector.py
+++ b/tests/test_vector.py
@@ -15,17 +15,19 @@ def test_compiled_vectors():
     t2 = t1.sum()
 
     t3 = cp.vector(cp.variable(1 / (v + 1)) for v in range(3))
-    t4 = ((t3 * t1) * 2).magnitude()
-    #t4 = ((t3 * t1) * 2).sum()
-    t5 = cp.sqrt(cp.variable(8.0))
+    #t4 = ((t3 * t1) * 2).magnitude()
+    t4 = ((t3 * t1) * 2).sum()
+    t5 = cp._math.sqrt2(cp.variable(8.0))
+    t6 = cp._math.get_42()
 
     tg = cp.Target()
-    tg.compile(t2, t4, t5)
+    tg.compile(t2, t4, t5, t6)
     tg.run()
 
     assert isinstance(t2, cp.variable) and tg.read_value(t2) == 10 + 11 + 12 + 0 + 1 + 2
     #assert isinstance(t4, cp.variable) and tg.read_value(t4) == ((1/1*10 + 1/2*11 + 1/3*12) * 2)**0.5
-    assert isinstance(t5, cp.variable) and tg.read_value(t5) == 8.0 * 3.5 + 4.5
+    assert isinstance(t5, cp.variable) and tg.read_value(t5) == 8.0 * 20.5 + 4.5
+    assert tg.read_value(t6) == 42.0
 
 if __name__ == "__main__":
     test_compiled_vectors()