diff --git a/compiler/builtins/src/unique.rs b/compiler/builtins/src/unique.rs
index 86b0b416f8..8e974e248c 100644
--- a/compiler/builtins/src/unique.rs
+++ b/compiler/builtins/src/unique.rs
@@ -1210,36 +1210,34 @@ fn lift(u: VarId, a: SolvedType) -> SolvedType {
 
 #[inline(always)]
 fn float_type(u: VarId) -> SolvedType {
+    let b_64 = builtin_aliases::binary64_type();
+    let attr_b_64 = lift(u, b_64);
+    let fp = builtin_aliases::floatingpoint_type(attr_b_64);
+    let attr_fb = lift(u, fp);
+    let num = builtin_aliases::num_type(attr_fb);
+
     SolvedType::Apply(
         Symbol::ATTR_ATTR,
         vec![
             flex(u),
-            SolvedType::Alias(
-                Symbol::NUM_F64,
-                Vec::new(),
-                Box::new(builtin_aliases::num_type(SolvedType::Apply(
-                    Symbol::ATTR_ATTR,
-                    vec![flex(u), builtin_aliases::float_type()],
-                ))),
-            ),
+            SolvedType::Alias(Symbol::NUM_F64, Vec::new(), Box::new(num)),
         ],
     )
 }
 
 #[inline(always)]
 fn int_type(u: VarId) -> SolvedType {
+    let signed_64 = builtin_aliases::signed64_type();
+    let attr_signed_64 = lift(u, signed_64);
+    let integer = builtin_aliases::integer_type(attr_signed_64);
+    let attr_fb = lift(u, integer);
+    let num = builtin_aliases::num_type(attr_fb);
+
     SolvedType::Apply(
         Symbol::ATTR_ATTR,
         vec![
             flex(u),
-            SolvedType::Alias(
-                Symbol::NUM_I64,
-                Vec::new(),
-                Box::new(builtin_aliases::num_type(SolvedType::Apply(
-                    Symbol::ATTR_ATTR,
-                    vec![flex(u), builtin_aliases::int_type()],
-                ))),
-            ),
+            SolvedType::Alias(Symbol::NUM_I64, Vec::new(), Box::new(num)),
         ],
     )
 }
diff --git a/compiler/constrain/src/uniq.rs b/compiler/constrain/src/uniq.rs
index b4872b6a49..c48b6bbca8 100644
--- a/compiler/constrain/src/uniq.rs
+++ b/compiler/constrain/src/uniq.rs
@@ -174,17 +174,17 @@ fn constrain_pattern(
         }
 
         IntLiteral(_) => {
-            let (var1, var2, num_uvar, int_uvar, num_type) = unique_int(var_store);
+            let (num_uvar, num_type) = unique_int(var_store);
             state.constraints.push(exists(
-                vec![num_uvar, int_uvar, var1, var2],
+                vec![num_uvar],
                 Constraint::Pattern(pattern.region, PatternCategory::Int, num_type, expected),
             ));
         }
         FloatLiteral(_) => {
-            let (var1, var2, num_uvar, float_uvar, num_type) = unique_float(var_store);
+            let (num_uvar, num_type) = unique_float(var_store);
 
             state.constraints.push(exists(
-                vec![num_uvar, float_uvar, var1, var2],
+                vec![num_uvar],
                 Constraint::Pattern(pattern.region, PatternCategory::Float, num_type, expected),
             ));
         }
@@ -423,54 +423,49 @@ fn unique_unbound_num(
     (num_uvar, val_uvar, num_type, num_var)
 }
 
-fn unique_num(var_store: &mut VarStore, val_type: Type) -> (Variable, Variable, Type) {
-    let num_uvar = var_store.fresh();
-    let val_uvar = var_store.fresh();
-
-    let val_utype = attr_type(Bool::variable(val_uvar), val_type);
+fn unique_num(val_type: Type, uvar: Variable) -> Type {
+    let val_utype = attr_type(Bool::variable(uvar), val_type);
 
     let num_utype = num_num(val_utype);
-    let num_type = attr_type(Bool::variable(num_uvar), num_utype);
+    let num_type = attr_type(Bool::variable(uvar), num_utype);
 
-    (num_uvar, val_uvar, num_type)
+    num_type
 }
 
-fn unique_integer(var_store: &mut VarStore, val_type: Type) -> (Variable, Variable, Type) {
+fn unique_integer(var_store: &mut VarStore, val_type: Type) -> (Variable, Type) {
     let num_uvar = var_store.fresh();
-    let val_uvar = var_store.fresh();
 
-    let val_utype = attr_type(Bool::variable(val_uvar), val_type);
+    let val_utype = attr_type(Bool::variable(num_uvar), val_type);
 
     let num_type = num_integer(val_utype);
 
-    (num_uvar, val_uvar, num_type)
+    (num_uvar, num_type)
 }
 
-fn unique_int(var_store: &mut VarStore) -> (Variable, Variable, Variable, Variable, Type) {
-    let (var1, var2, typ) = unique_integer(var_store, num_signed64());
+fn unique_int(var_store: &mut VarStore) -> (Variable, Type) {
+    let (var1, typ) = unique_integer(var_store, num_signed64());
 
-    let (var3, var4, typ) = unique_num(var_store, typ);
+    let typ = unique_num(typ, var1);
 
-    (var1, var2, var3, var4, typ)
+    (var1, typ)
 }
 
-fn unique_floatingpoint(var_store: &mut VarStore, val_type: Type) -> (Variable, Variable, Type) {
+fn unique_floatingpoint(var_store: &mut VarStore, val_type: Type) -> (Variable, Type) {
     let num_uvar = var_store.fresh();
-    let val_uvar = var_store.fresh();
 
-    let val_utype = attr_type(Bool::variable(val_uvar), val_type);
+    let val_utype = attr_type(Bool::variable(num_uvar), val_type);
 
     let num_type = num_floatingpoint(val_utype);
 
-    (num_uvar, val_uvar, num_type)
+    (num_uvar, num_type)
 }
 
-fn unique_float(var_store: &mut VarStore) -> (Variable, Variable, Variable, Variable, Type) {
-    let (var1, var2, typ) = unique_floatingpoint(var_store, num_binary64());
+fn unique_float(var_store: &mut VarStore) -> (Variable, Type) {
+    let (var1, typ) = unique_floatingpoint(var_store, num_binary64());
 
-    let (var3, var4, typ) = unique_num(var_store, typ);
+    let typ = unique_num(typ, var1);
 
-    (var1, var2, var3, var4, typ)
+    (var1, typ)
 }
 
 pub fn constrain_expr(
@@ -503,10 +498,10 @@ pub fn constrain_expr(
             )
         }
         Int(var, _) => {
-            let (var1, var2, num_uvar, int_uvar, num_type) = unique_int(var_store);
+            let (num_uvar, num_type) = unique_int(var_store);
 
             exists(
-                vec![*var, num_uvar, int_uvar, var1, var2],
+                vec![*var, num_uvar],
                 And(vec![
                     Eq(
                         Type::Variable(*var),
@@ -519,10 +514,10 @@ pub fn constrain_expr(
             )
         }
         Float(var, _) => {
-            let (var1, var2, num_uvar, float_uvar, num_type) = unique_float(var_store);
+            let (num_uvar, num_type) = unique_float(var_store);
 
             exists(
-                vec![*var, num_uvar, float_uvar, var1, var2],
+                vec![*var, num_uvar],
                 And(vec![
                     Eq(
                         Type::Variable(*var),
diff --git a/compiler/mono/src/ir.rs b/compiler/mono/src/ir.rs
index ace1798114..dc08c98176 100644
--- a/compiler/mono/src/ir.rs
+++ b/compiler/mono/src/ir.rs
@@ -5853,6 +5853,11 @@ pub fn num_argument_to_int_or_float(subs: &Subs, var: Variable) -> IntOrFloat {
             // Recurse on the second argument
             num_argument_to_int_or_float(subs, attr_args[1])
         }
+        Content::Alias(Symbol::NUM_F64, args, _) | Content::Alias(Symbol::NUM_F32, args, _) => {
+            debug_assert!(args.is_empty());
+
+            IntOrFloat::FloatType
+        }
         other => {
             panic!(
                 "Unrecognized Num type argument for var {:?} with Content: {:?}",
diff --git a/compiler/types/src/builtin_aliases.rs b/compiler/types/src/builtin_aliases.rs
index 6355941922..8e734fe99a 100644
--- a/compiler/types/src/builtin_aliases.rs
+++ b/compiler/types/src/builtin_aliases.rs
@@ -367,7 +367,7 @@ pub fn binary64_type() -> SolvedType {
 }
 
 #[inline(always)]
-fn binary64_alias_content() -> SolvedType {
+pub fn binary64_alias_content() -> SolvedType {
     single_private_tag(Symbol::NUM_AT_BINARY64, vec![])
 }
 
@@ -597,7 +597,7 @@ pub fn dict_type(key: SolvedType, value: SolvedType) -> SolvedType {
     SolvedType::Apply(Symbol::DICT_DICT, vec![key, value])
 }
 
-fn single_private_tag(symbol: Symbol, type_arguments: Vec<SolvedType>) -> SolvedType {
+pub fn single_private_tag(symbol: Symbol, type_arguments: Vec<SolvedType>) -> SolvedType {
     SolvedType::TagUnion(
         vec![(TagName::Private(symbol), type_arguments)],
         Box::new(SolvedType::EmptyTagUnion),