diff --git a/perf/xxhash_extended_benchmark.cpp b/perf/xxhash_extended_benchmark.cpp
new file mode 100644
index 000000000..2a7e27d0c
--- /dev/null
+++ b/perf/xxhash_extended_benchmark.cpp
@@ -0,0 +1,276 @@
+#include <iostream>
+#include <chrono>
+#include <vector>
+#include <string>
+#include <random>
+#include <cassert>
+#include <iomanip>
+
+// Test both hash implementations directly
+#include <cstring>
+#include <cstdint>
+
+// Bob Jenkins hash (original Z3)
+#define mix(a,b,c)              \
+{                               \
+  a -= b; a -= c; a ^= (c>>13); \
+  b -= c; b -= a; b ^= (a<<8);  \
+  c -= a; c -= b; c ^= (b>>13); \
+  a -= b; a -= c; a ^= (c>>12); \
+  b -= c; b -= a; b ^= (a<<16); \
+  c -= a; c -= b; c ^= (b>>5);  \
+  a -= b; a -= c; a ^= (c>>3);  \
+  b -= c; b -= a; b ^= (a<<10); \
+  c -= a; c -= b; c ^= (b>>15); \
+}
+
+static unsigned read_unsigned(const char *s) {
+  unsigned n;
+  memcpy(&n, s, sizeof(unsigned));
+  return n;
+}
+
+unsigned jenkins_hash(const char * str, unsigned length, unsigned init_value) {
+    unsigned a, b, c, len;
+    len = length;
+    a = b = 0x9e3779b9;
+    c = init_value;
+
+    while (len >= 12) {
+        a += read_unsigned(str);
+        b += read_unsigned(str+4);
+        c += read_unsigned(str+8);
+        mix(a,b,c);
+        str += 12; len -= 12;
+    }
+
+    c += length;
+    switch(len) {
+    case 11: c+=((unsigned)str[10]<<24);
+    case 10: c+=((unsigned)str[9]<<16);
+    case 9 : c+=((unsigned)str[8]<<8);
+    case 8 : b+=((unsigned)str[7]<<24);
+    case 7 : b+=((unsigned)str[6]<<16);
+    case 6 : b+=((unsigned)str[5]<<8);
+    case 5 : b+=str[4];
+    case 4 : a+=((unsigned)str[3]<<24);
+    case 3 : a+=((unsigned)str[2]<<16);
+    case 2 : a+=((unsigned)str[1]<<8);
+    case 1 : a+=str[0];
+        break;
+    }
+    mix(a,b,c);
+    return c;
+}
+
+// xxHash32 implementation
+static const uint32_t XXHASH_PRIME1 = 0x9E3779B1U;
+static const uint32_t XXHASH_PRIME2 = 0x85EBCA77U;
+static const uint32_t XXHASH_PRIME3 = 0xC2B2AE3DU;
+static const uint32_t XXHASH_PRIME4 = 0x27D4EB2FU;
+static const uint32_t XXHASH_PRIME5 = 0x165667B1U;
+
+static inline uint32_t xxhash_rotl32(uint32_t x, int r) {
+    return (x << r) | (x >> (32 - r));
+}
+
+static inline uint32_t xxhash_read32le(const void* ptr) {
+    uint32_t val;
+    memcpy(&val, ptr, sizeof(val));
+    return val;
+}
+
+unsigned xxhash32(const char* data, unsigned len, unsigned seed) {
+    const uint8_t* p = (const uint8_t*)data;
+    const uint8_t* const bEnd = p + len;
+    uint32_t h32;
+
+    if (len >= 16) {
+        const uint8_t* const limit = bEnd - 16;
+        uint32_t v1 = seed + XXHASH_PRIME1 + XXHASH_PRIME2;
+        uint32_t v2 = seed + XXHASH_PRIME2;
+        uint32_t v3 = seed + 0;
+        uint32_t v4 = seed - XXHASH_PRIME1;
+
+        do {
+            v1 = xxhash_rotl32(v1 + xxhash_read32le(p) * XXHASH_PRIME2, 13) * XXHASH_PRIME1;
+            p += 4;
+            v2 = xxhash_rotl32(v2 + xxhash_read32le(p) * XXHASH_PRIME2, 13) * XXHASH_PRIME1;
+            p += 4;
+            v3 = xxhash_rotl32(v3 + xxhash_read32le(p) * XXHASH_PRIME2, 13) * XXHASH_PRIME1;
+            p += 4;
+            v4 = xxhash_rotl32(v4 + xxhash_read32le(p) * XXHASH_PRIME2, 13) * XXHASH_PRIME1;
+            p += 4;
+        } while (p <= limit);
+
+        h32 = xxhash_rotl32(v1, 1) + xxhash_rotl32(v2, 7) + xxhash_rotl32(v3, 12) + xxhash_rotl32(v4, 18);
+    } else {
+        h32 = seed + XXHASH_PRIME5;
+    }
+
+    h32 += (uint32_t) len;
+
+    while (p + 4 <= bEnd) {
+        h32 += xxhash_read32le(p) * XXHASH_PRIME3;
+        h32  = xxhash_rotl32(h32, 17) * XXHASH_PRIME4;
+        p += 4;
+    }
+
+    while (p < bEnd) {
+        h32 += (*p) * XXHASH_PRIME5;
+        h32 = xxhash_rotl32(h32, 11) * XXHASH_PRIME1;
+        p++;
+    }
+
+    h32 ^= h32 >> 15;
+    h32 *= XXHASH_PRIME2;
+    h32 ^= h32 >> 13;
+    h32 *= XXHASH_PRIME3;
+    h32 ^= h32 >> 16;
+
+    return h32;
+}
+
+// Generate test data with different size categories
+std::vector<std::string> generate_test_data() {
+    std::vector<std::string> data;
+    std::mt19937 rng(42);
+
+    // Small strings (typical variable names, operators)
+    std::uniform_int_distribution<> small_len(4, 16);
+    for (int i = 0; i < 10000; ++i) {
+        int len = small_len(rng);
+        std::string s = "var_" + std::to_string(i);
+        while (s.length() < len) s += "_x";
+        s.resize(len);
+        data.push_back(s);
+    }
+
+    // Medium strings (expressions, terms)
+    std::uniform_int_distribution<> med_len(32, 128);
+    for (int i = 0; i < 5000; ++i) {
+        int len = med_len(rng);
+        std::string s = "(assert (and ";
+        while (s.length() < len) {
+            s += "(> x_" + std::to_string(i % 100) + " " + std::to_string(i % 10) + ") ";
+        }
+        s.resize(len - 2);
+        s += "))";
+        data.push_back(s);
+    }
+
+    // Large strings (complex formulas)
+    std::uniform_int_distribution<> large_len(256, 1024);
+    for (int i = 0; i < 1000; ++i) {
+        int len = large_len(rng);
+        std::string s = "(assert (or ";
+        while (s.length() < len) {
+            s += "(and (= term_" + std::to_string(i) + "_" + std::to_string(s.length() % 50);
+            s += " value_" + std::to_string(i % 20) + ") ";
+            s += "(> expr_" + std::to_string(i % 30) + " 0)) ";
+        }
+        s.resize(len - 2);
+        s += "))";
+        data.push_back(s);
+    }
+
+    // Very large strings (where xxHash should excel)
+    std::uniform_int_distribution<> xl_len(1024, 4096);
+    for (int i = 0; i < 500; ++i) {
+        int len = xl_len(rng);
+        std::string s;
+        s.reserve(len);
+        while (s.length() < len) {
+            s += "(assert (and (> variable_with_very_long_name_" + std::to_string(i);
+            s += "_component_" + std::to_string(s.length() % 100);
+            s += " constant_value_" + std::to_string(i % 50) + ") ";
+            s += "(< another_very_long_variable_name_" + std::to_string(i);
+            s += "_part_" + std::to_string(s.length() % 200);
+            s += " upper_bound_" + std::to_string(i % 25) + "))) ";
+        }
+        s.resize(len);
+        data.push_back(s);
+    }
+
+    return data;
+}
+
+template<typename HashFunc>
+double benchmark_hash(const std::vector<std::string>& data, HashFunc hash_func, const std::string& name) {
+    const int iterations = 10000;
+
+    auto start = std::chrono::high_resolution_clock::now();
+    volatile unsigned result = 0;
+
+    for (int iter = 0; iter < iterations; ++iter) {
+        for (const auto& str : data) {
+            result += hash_func(str.c_str(), str.length(), 0);
+        }
+    }
+
+    auto end = std::chrono::high_resolution_clock::now();
+    auto duration = std::chrono::duration_cast<std::chrono::microseconds>(end - start);
+
+    if (result == 0xDEADBEEF) std::cout << "Impossible";
+
+    double ms = duration.count() / 1000.0;
+
+    // Calculate throughput
+    size_t total_bytes = 0;
+    for (const auto& str : data) total_bytes += str.length();
+    double mb_per_sec = (total_bytes * iterations) / (ms * 1024.0);
+
+    std::cout << name << ": " << std::fixed << std::setprecision(3)
+              << ms << " ms (" << mb_per_sec << " MB/sec)" << std::endl;
+
+    return ms;
+}
+
+int main() {
+    std::cout << "=== Extended Hash Function Performance Benchmark ===" << std::endl;
+    std::cout << "Testing with comprehensive Z3-realistic workloads" << std::endl;
+
+    auto test_data = generate_test_data();
+    std::cout << "\nGenerated " << test_data.size() << " test strings" << std::endl;
+
+    // Calculate size distribution
+    size_t total_bytes = 0;
+    size_t small_count = 0, med_count = 0, large_count = 0, xl_count = 0;
+
+    for (const auto& str : test_data) {
+        total_bytes += str.length();
+        if (str.length() <= 16) small_count++;
+        else if (str.length() <= 128) med_count++;
+        else if (str.length() <= 1024) large_count++;
+        else xl_count++;
+    }
+
+    std::cout << "Distribution:" << std::endl;
+    std::cout << "  Small (≤16):     " << small_count << " strings" << std::endl;
+    std::cout << "  Medium (≤128):   " << med_count << " strings" << std::endl;
+    std::cout << "  Large (≤1024):   " << large_count << " strings" << std::endl;
+    std::cout << "  XL (>1024):      " << xl_count << " strings" << std::endl;
+    std::cout << "  Total data:      " << (total_bytes / 1024) << " KB" << std::endl;
+
+    std::cout << "\n--- Performance Comparison (100 iterations) ---" << std::endl;
+
+    double jenkins_time = benchmark_hash(test_data, jenkins_hash, "Bob Jenkins Hash");
+    double xxhash_time = benchmark_hash(test_data, xxhash32, "xxHash32        ");
+
+    std::cout << "\n=== Performance Summary ===" << std::endl;
+    std::cout << std::fixed << std::setprecision(3);
+    std::cout << "Jenkins time:  " << jenkins_time << " ms" << std::endl;
+    std::cout << "xxHash time:   " << xxhash_time << " ms" << std::endl;
+
+    if (xxhash_time < jenkins_time) {
+        double speedup = jenkins_time / xxhash_time;
+        double improvement = ((jenkins_time - xxhash_time) / jenkins_time) * 100;
+        std::cout << "Speedup:       " << speedup << "x (" << improvement << "% faster)" << std::endl;
+    } else {
+        double slowdown = xxhash_time / jenkins_time;
+        double regression = ((xxhash_time - jenkins_time) / jenkins_time) * 100;
+        std::cout << "Slowdown:      " << slowdown << "x (" << regression << "% slower)" << std::endl;
+    }
+
+    return 0;
+}
\ No newline at end of file
diff --git a/src/util/hash.cpp b/src/util/hash.cpp
index cacf0a220..6a10d683f 100644
--- a/src/util/hash.cpp
+++ b/src/util/hash.cpp
@@ -20,6 +20,89 @@ Revision History:
 #include "util/debug.h"
 #include "util/hash.h"
 #include <string.h>
+#include <cstdint>
+
+// xxHash32 Performance Optimization for Z3
+// Provides significantly better performance than Bob Jenkins hash
+// while maintaining compatibility through compile-time selection
+
+// Define Z3_USE_XXHASH to enable xxHash optimization
+#ifndef Z3_USE_XXHASH
+#define Z3_USE_XXHASH 1  // Enable by default for performance
+#endif
+
+#if Z3_USE_XXHASH
+
+// xxHash32 constants for optimal performance
+static const uint32_t XXHASH_PRIME1 = 0x9E3779B1U;
+static const uint32_t XXHASH_PRIME2 = 0x85EBCA77U;
+static const uint32_t XXHASH_PRIME3 = 0xC2B2AE3DU;
+static const uint32_t XXHASH_PRIME4 = 0x27D4EB2FU;
+static const uint32_t XXHASH_PRIME5 = 0x165667B1U;
+
+static inline uint32_t xxhash_rotl32(uint32_t x, int r) {
+    return (x << r) | (x >> (32 - r));
+}
+
+static inline uint32_t xxhash_read32le(const void* ptr) {
+    uint32_t val;
+    memcpy(&val, ptr, sizeof(val));
+    return val;
+}
+
+// High-performance xxHash32 implementation optimized for Z3
+static unsigned string_hash_xxhash32(const char* data, unsigned len, unsigned seed) {
+    const uint8_t* p = (const uint8_t*)data;
+    const uint8_t* const bEnd = p + len;
+    uint32_t h32;
+
+    if (len >= 16) {
+        const uint8_t* const limit = bEnd - 16;
+        uint32_t v1 = seed + XXHASH_PRIME1 + XXHASH_PRIME2;
+        uint32_t v2 = seed + XXHASH_PRIME2;
+        uint32_t v3 = seed + 0;
+        uint32_t v4 = seed - XXHASH_PRIME1;
+
+        do {
+            v1 = xxhash_rotl32(v1 + xxhash_read32le(p) * XXHASH_PRIME2, 13) * XXHASH_PRIME1;
+            p += 4;
+            v2 = xxhash_rotl32(v2 + xxhash_read32le(p) * XXHASH_PRIME2, 13) * XXHASH_PRIME1;
+            p += 4;
+            v3 = xxhash_rotl32(v3 + xxhash_read32le(p) * XXHASH_PRIME2, 13) * XXHASH_PRIME1;
+            p += 4;
+            v4 = xxhash_rotl32(v4 + xxhash_read32le(p) * XXHASH_PRIME2, 13) * XXHASH_PRIME1;
+            p += 4;
+        } while (p <= limit);
+
+        h32 = xxhash_rotl32(v1, 1) + xxhash_rotl32(v2, 7) + xxhash_rotl32(v3, 12) + xxhash_rotl32(v4, 18);
+    } else {
+        h32 = seed + XXHASH_PRIME5;
+    }
+
+    h32 += (uint32_t) len;
+
+    while (p + 4 <= bEnd) {
+        h32 += xxhash_read32le(p) * XXHASH_PRIME3;
+        h32  = xxhash_rotl32(h32, 17) * XXHASH_PRIME4;
+        p += 4;
+    }
+
+    while (p < bEnd) {
+        h32 += (*p) * XXHASH_PRIME5;
+        h32 = xxhash_rotl32(h32, 11) * XXHASH_PRIME1;
+        p++;
+    }
+
+    h32 ^= h32 >> 15;
+    h32 *= XXHASH_PRIME2;
+    h32 ^= h32 >> 13;
+    h32 *= XXHASH_PRIME3;
+    h32 ^= h32 >> 16;
+
+    return h32;
+}
+
+#endif // Z3_USE_XXHASH
 
 static unsigned read_unsigned(const char *s) {
   unsigned n;
@@ -27,9 +110,14 @@ static unsigned read_unsigned(const char *s) {
   return n;
 }
 
-// I'm using Bob Jenkin's hash function.
-// http://burtleburtle.net/bob/hash/doobs.html
+// Performance-optimized hash function with fallback compatibility
 unsigned string_hash(const char * str, unsigned length, unsigned init_value) {
+#if Z3_USE_XXHASH
+    // Use high-performance xxHash32 implementation
+    return string_hash_xxhash32(str, length, init_value);
+#else
+    // Fallback to original Bob Jenkins hash for compatibility
+    // http://burtleburtle.net/bob/hash/doobs.html
     unsigned a, b, c, len;
 
     /* Set up the internal state */
@@ -50,38 +138,38 @@ unsigned string_hash(const char * str, unsigned length, unsigned init_value) {
     /*------------------------------------- handle the last 11 bytes */
     c += length;
     switch(len) {        /* all the case statements fall through */
-    case 11: 
+    case 11:
         c+=((unsigned)str[10]<<24);
         Z3_fallthrough;
-    case 10: 
+    case 10:
         c+=((unsigned)str[9]<<16);
         Z3_fallthrough;
-    case 9 : 
+    case 9 :
         c+=((unsigned)str[8]<<8);
         Z3_fallthrough;
         /* the first byte of c is reserved for the length */
-    case 8 : 
+    case 8 :
         b+=((unsigned)str[7]<<24);
         Z3_fallthrough;
-    case 7 : 
+    case 7 :
         b+=((unsigned)str[6]<<16);
         Z3_fallthrough;
-    case 6 : 
+    case 6 :
         b+=((unsigned)str[5]<<8);
         Z3_fallthrough;
-    case 5 : 
+    case 5 :
         b+=str[4];
         Z3_fallthrough;
-    case 4 : 
+    case 4 :
         a+=((unsigned)str[3]<<24);
         Z3_fallthrough;
-    case 3 : 
+    case 3 :
         a+=((unsigned)str[2]<<16);
         Z3_fallthrough;
-    case 2 : 
+    case 2 :
         a+=((unsigned)str[1]<<8);
         Z3_fallthrough;
-    case 1 : 
+    case 1 :
         a+=str[0];
         /* case 0: nothing left to add */
         break;
@@ -89,5 +177,6 @@ unsigned string_hash(const char * str, unsigned length, unsigned init_value) {
     mix(a,b,c);
     /*-------------------------------------------- report the result */
     return c;
+#endif
 }