diff --git a/src/compiler/nir/nir_opt_algebraic.py b/src/compiler/nir/nir_opt_algebraic.py
index cd52925972a..f70d29101b4 100644
--- a/src/compiler/nir/nir_opt_algebraic.py
+++ b/src/compiler/nir/nir_opt_algebraic.py
@@ -102,10 +102,17 @@ optimizations = [
    (('idiv', a, 1), a),
    (('umod', a, 1), 0),
    (('imod', a, 1), 0),
+   (('imod', a, -1), 0),
+   (('irem', a, 1), 0),
+   (('irem', a, -1), 0),
    (('udiv', a, '#b(is_pos_power_of_two)'), ('ushr', a, ('find_lsb', b)), '!options->lower_bitops'),
    (('idiv', a, '#b(is_pos_power_of_two)'), ('imul', ('isign', a), ('ushr', ('iabs', a), ('find_lsb', b))), '!options->lower_bitops'),
    (('idiv', a, '#b(is_neg_power_of_two)'), ('ineg', ('imul', ('isign', a), ('ushr', ('iabs', a), ('find_lsb', ('iabs', b))))), '!options->lower_bitops'),
    (('umod', a, '#b(is_pos_power_of_two)'),    ('iand', a, ('isub', b, 1))),
+   (('imod', a, '#b(is_pos_power_of_two)'),    ('iand', a, ('isub', b, 1))),
+   (('imod', a, '#b(is_neg_power_of_two)'),    ('ior', a, b)),
+   (('irem', a, '#b(is_pos_power_of_two)'),    ('bcsel', ('ige', a, 0), ('iand', a, ('isub', b, 1)), ('ior', a, ('ineg', b)))),
+   (('irem', a, '#b(is_neg_power_of_two)'),    ('bcsel', ('ige', a, 0), ('iand', a, ('inot', b)), ('ior', a, b))),
 
    (('~fneg', ('fneg', a)), a),
    (('ineg', ('ineg', a)), a),