diff --git a/pkg/fixedpoint/reduce.go b/pkg/fixedpoint/reduce.go
index fc8db575c..0b8edbf7f 100644
--- a/pkg/fixedpoint/reduce.go
+++ b/pkg/fixedpoint/reduce.go
@@ -2,7 +2,16 @@ package fixedpoint
 
 type Reducer func(prev, curr Value) Value
 
-func Reduce(values []Value, init Value, reducer Reducer) Value {
+func SumReducer(prev, curr Value) Value {
+	return prev.Add(curr)
+}
+
+func Reduce(values []Value, reducer Reducer, a ...Value) Value {
+	init := Zero
+	if len(a) > 0 {
+		init = a[0]
+	}
+
 	if len(values) == 0 {
 		return init
 	}
diff --git a/pkg/fixedpoint/reduce_test.go b/pkg/fixedpoint/reduce_test.go
index 704e1d590..58000623b 100644
--- a/pkg/fixedpoint/reduce_test.go
+++ b/pkg/fixedpoint/reduce_test.go
@@ -31,7 +31,7 @@ func TestReduce(t *testing.T) {
 	}
 	for _, tt := range tests {
 		t.Run(tt.name, func(t *testing.T) {
-			assert.Equalf(t, tt.want, Reduce(tt.args.values, tt.args.init, tt.args.reducer), "Reduce(%v, %v, %v)", tt.args.values, tt.args.init, tt.args.reducer)
+			assert.Equalf(t, tt.want, Reduce(tt.args.values, tt.args.reducer, tt.args.init), "Reduce(%v, %v, %v)", tt.args.values, tt.args.init, tt.args.reducer)
 		})
 	}
 }
diff --git a/pkg/fixedpoint/slice.go b/pkg/fixedpoint/slice.go
index a59542787..c5a7db173 100644
--- a/pkg/fixedpoint/slice.go
+++ b/pkg/fixedpoint/slice.go
@@ -2,8 +2,8 @@ package fixedpoint
 
 type Slice []Value
 
-func (s Slice) Reduce(init Value, reducer Reducer) Value {
-	return Reduce(s, init, reducer)
+func (s Slice) Reduce(reducer Reducer, a ...Value) Value {
+	return Reduce(s, reducer, a...)
 }
 
 // Defaults to ascending sort