diff --git a/src/hashing.jl b/src/hashing.jl
index 48593e9..642c6f2 100644
--- a/src/hashing.jl
+++ b/src/hashing.jl
@@ -37,6 +37,7 @@ function _update_savedhash!(g::AbstractFPGroupElement, data)
 end
 
 function Base.hash(g::AbstractFPGroupElement, h::UInt)
+    g = normalform!(g)
     _isvalidhash(g) || _update_savedhash!(g, equality_data(g))
     return hash(g.savedhash >> count_ones(__BITFLAGS_MASK), h)
 end
diff --git a/src/wl_ball.jl b/src/wl_ball.jl
index 96b5984..5834b58 100644
--- a/src/wl_ball.jl
+++ b/src/wl_ball.jl
@@ -26,8 +26,7 @@ function wlmetric_ball(
                 new = collect(
                     op(o, s) for o in @view(ball[sizes[end-1]:end]) for s in S
                 )
-                append!(ball, new)
-                unique!(ball)
+                ball = union!(ball, new)
                 push!(sizes, length(ball))
             end
         end