diff --git a/src/compiler/nir/nir_opt_algebraic.py b/src/compiler/nir/nir_opt_algebraic.py
index 10b2773d8c5..8e46d3c94ba 100644
--- a/src/compiler/nir/nir_opt_algebraic.py
+++ b/src/compiler/nir/nir_opt_algebraic.py
@@ -233,6 +233,10 @@ optimizations = [
    (('iand', ('iand', a, b), ('ior', a, c)), ('iand', a, b)),
    (('ieq', ('iand', a, '#b(is_pos_power_of_two)'), b), ('ine', ('iand', a, b), 0)),
    (('ine', ('iand', a, '#b(is_pos_power_of_two)'), b), ('ieq', ('iand', a, b), 0)),
+   (('uge', ('iand', a, '#b(is_pos_power_of_two)'), b), ('ine', ('iand', a, b), 0)),
+   (('ult', ('iand', a, '#b(is_pos_power_of_two)'), b), ('ieq', ('iand', a, b), 0)),
+   (('ige', ('iand', a, b), '#b(is_pos_power_of_two)'), ('ine', ('iand', a, b), 0)),
+   (('ilt', ('iand', a, b), '#b(is_pos_power_of_two)'), ('ieq', ('iand', a, b), 0)),
    (('ieq', ('ushr(is_used_once)', a, '#b'), 0), ('ult', a, ('ishl', 1, b))),
    (('ine', ('ushr(is_used_once)', a, '#b'), 0), ('uge', a, ('ishl', 1, b))),
    (('~fadd', ('fneg', a), a), 0.0),