diff --git a/src/compiler/nir/nir_opt_algebraic.py b/src/compiler/nir/nir_opt_algebraic.py
index e7957f730c6..d6919950dd5 100644
--- a/src/compiler/nir/nir_opt_algebraic.py
+++ b/src/compiler/nir/nir_opt_algebraic.py
@@ -608,6 +608,12 @@ optimizations.extend([
    (('fge', -1.0, ('fneg', a)), ('fge', a, 1.0)),
    (('fneu', ('fneg', a), -1.0), ('fneu', 1.0, a)),
    (('feq', -1.0, ('fneg', a)), ('feq', a, 1.0)),
+   (('flt', a, '#b(is_negative_zero)'), ('flt', a, 0.0)),
+   (('flt', '#b(is_negative_zero)', a), ('flt', 0.0, a)),
+   (('fge', a, '#b(is_negative_zero)'), ('fge', a, 0.0)),
+   (('fge', '#b(is_negative_zero)', a), ('fge', 0.0, a)),
+   (('fneu', a, '#b(is_negative_zero)'), ('fneu', 0.0, a)),
+   (('feq', '#b(is_negative_zero)', a), ('feq', a, 0.0)),
 
    (('ieq', ('ineg', a), 0),  ('ieq', a, 0)),
    (('ine', ('ineg', a), 0),  ('ine', a, 0)),
diff --git a/src/compiler/nir/nir_search_helpers.h b/src/compiler/nir/nir_search_helpers.h
index 6a1740fbae8..44ede8b3ee6 100644
--- a/src/compiler/nir/nir_search_helpers.h
+++ b/src/compiler/nir/nir_search_helpers.h
@@ -29,6 +29,7 @@
 
 #include <math.h>
 #include "util/bitscan.h"
+#include "util/u_math.h"
 #include "nir.h"
 #include "nir_range_analysis.h"
 
@@ -127,6 +128,24 @@ is_nan(UNUSED struct hash_table *ht, const nir_alu_instr *instr,
    return true;
 }
 
+static inline bool
+is_negative_zero(UNUSED struct hash_table *ht, const nir_alu_instr *instr,
+       unsigned src, unsigned num_components, const uint8_t *swizzle)
+{
+   /* only constant srcs: */
+   if (!nir_src_is_const(instr->src[src].src))
+      return false;
+
+   for (unsigned i = 0; i < num_components; i++) {
+      union di tmp;
+      tmp.d = nir_src_comp_as_float(instr->src[src].src, swizzle[i]);
+      if (tmp.ui != 0x8000000000000000ull)
+         return false;
+   }
+
+   return true;
+}
+
 static inline bool
 is_any_comp_nan(UNUSED struct hash_table *ht, const nir_alu_instr *instr,
                 unsigned src, unsigned num_components, const uint8_t *swizzle)