diff --git a/src/AutGroup.jl b/src/AutGroup.jl
index 1c007a7..ceb9edf 100644
--- a/src/AutGroup.jl
+++ b/src/AutGroup.jl
@@ -361,20 +361,11 @@ function simplifyperms!(W::Automorphism{N}) where N
     return reduced
 end
 
-function reduce!(W::Automorphism)
-    if length(W) == 0
-        return W
-    elseif length(W.symbols) == 1
-        deleteids!(W)
-    else
-        reduced = false
-        while !reduced
-            reduced = simplifyperms!(W) && freereduce!(W)
-        end
+function reduce!(w::Automorphism)
+    reduced = false
+    while !reduced
+        reduced = simplifyperms!(Bool, w) && freereduce!(Bool, w)
     end
-
-    W.modified = true
-
     return W
 end
 
diff --git a/src/FPGroups.jl b/src/FPGroups.jl
index 440c6dd..878c4ba 100644
--- a/src/FPGroups.jl
+++ b/src/FPGroups.jl
@@ -134,17 +134,11 @@ end
 (*)(s::FPSymbol, W::FPGroupElem) = l_multiply(W, [s])
 
 function reduce!(W::FPGroupElem)
-    if length(W) < 2
-        deleteat!(W.symbols, findall(x -> x.pow == 0, W.symbols))
-    else
-        reduced = false
-        while !reduced
-            reduced = freereduce!(W) || replace_all!(W, parent(W).rels)
-        end
+    reduced = false
+    while !reduced
+        W = replace(W, parent(W).rels)
+        reduced = freereduce!(Bool, W)
     end
-
-    W.savedhash = hash(W.symbols, hash(typeof(W)))
-    W.modified = false
     return W
 end