diff --git a/src/compiler/nir/nir_opt_algebraic.py b/src/compiler/nir/nir_opt_algebraic.py
index 73447441b27..6add5f1423e 100644
--- a/src/compiler/nir/nir_opt_algebraic.py
+++ b/src/compiler/nir/nir_opt_algebraic.py
@@ -2155,7 +2155,9 @@ optimizations.extend([
    (('~bcsel', ('flt', a, 0.0), ('fneg', a), a), ('fabs', a)),
 
    (('bcsel', a, ('bcsel(is_used_once)', b, c, d), d), ('bcsel', ('iand', a, b), c, d)),
+   (('bcsel', a, ('bcsel(is_used_once)', b, d, c), d), ('bcsel', ('iand', a, ('inot', b)), c, d)),
    (('bcsel', a, b, ('bcsel(is_used_once)', c, b, d)), ('bcsel', ('ior', a, c), b, d)),
+   (('bcsel', a, b, ('bcsel(is_used_once)', c, d, b)), ('bcsel', ('iand', c, ('inot', a)), d, b)),
 
    # Misc. lowering
    (('fmod', a, b), ('fsub', a, ('fmul', b, ('ffloor', ('fdiv', a, b)))), 'options->lower_fmod'),