diff --git a/src/compiler/nir/nir_opt_algebraic.py b/src/compiler/nir/nir_opt_algebraic.py
index 890899a962e..728581db862 100644
--- a/src/compiler/nir/nir_opt_algebraic.py
+++ b/src/compiler/nir/nir_opt_algebraic.py
@@ -693,6 +693,8 @@ optimizations.extend([
 
    (('ieq', ('ineg', 'a(is_not_const)'), '#b'),  ('ieq', a, ('ineg', b))),
    (('ine', ('ineg', 'a(is_not_const)'), '#b'),  ('ine', a, ('ineg', b))),
+   (('ieq', ('inot', 'a(is_not_const)'), '#b'),  ('ieq', a, ('inot', b))),
+   (('ine', ('inot', 'a(is_not_const)'), '#b'),  ('ine', a, ('inot', b))),
    (('ieq', ('iabs', a), 0),  ('ieq', a, 0)),
    (('ine', ('iabs', a), 0),  ('ine', a, 0)),
 
@@ -701,6 +703,8 @@ optimizations.extend([
 
    (('ieq', ('ineg', a), ('ineg', b)), ('ieq', a, b)),
    (('ine', ('ineg', a), ('ineg', b)), ('ine', a, b)),
+   (('ieq', ('inot', a), ('inot', b)), ('ieq', a, b)),
+   (('ine', ('inot', a), ('inot', b)), ('ine', a, b)),
 
    (('fneu', ('fabs', a), 0.0), ('fneu', a, 0.0)),
    (('feq', ('fabs', a), 0.0), ('feq', a, 0.0)),