diff --git a/src/compiler/nir/nir_opt_algebraic.py b/src/compiler/nir/nir_opt_algebraic.py
index 281b3a61e78..5e586a303de 100644
--- a/src/compiler/nir/nir_opt_algebraic.py
+++ b/src/compiler/nir/nir_opt_algebraic.py
@@ -831,6 +831,13 @@ optimizations.extend([
    (('~f2u32', ('i2f', 'a@32')), a),
    (('~f2u32', ('u2f', 'a@32')), a),
 
+   # Conversions from float16 to float32 and back can always be removed
+   (('f2f16', ('f2f32', 'a@16')), a),
+   (('f2fmp', ('f2f32', 'a@16')), a),
+   # Conversions to float16 would be lossy so they should only be removed if
+   # the instruction was generated by the precision lowering pass.
+   (('f2f32', ('f2fmp', 'a@32')), a),
+
    (('ffloor', 'a(is_integral)'), a),
    (('fceil', 'a(is_integral)'), a),
    (('ftrunc', 'a(is_integral)'), a),