""" Daugherty Engine - SAT & Ising Solver Demo API-only interface for testing constraint satisfaction and optimization. This demo calls the public API at https://1millionspins.originneural.ai No proprietary code is exposed - only API interactions. """ import gradio as gr import requests import time # Public API endpoint API_BASE = "https://1millionspins.originneural.ai/api" # Hardware specs (public information from DigitalOcean pricing) HARDWARE_INFO = { "name": "NVIDIA RTX 6000 Ada", "vram": 48, # GB "architecture": "Ada Lovelace", "cuda_cores": 18176, "tensor_cores": 568, "tdp": 300, # Watts "typical_power": 195, # Watts at ~65% utilization "cost_per_hour": 1.57, # USD (DigitalOcean GPU Droplet) "source": "DigitalOcean GPU Droplet pricing, January 2026" } # Competitor reference data (all from public sources) COMPETITORS = { "D-Wave Advantage": { "qubits": 5000, "power": 25000, # Watts (system + cooling) "cost_per_hour": 13.20, # AWS Braket pricing "type": "Quantum Annealer", "source": "AWS Braket pricing, D-Wave documentation" }, "IBM Quantum (127Q)": { "qubits": 127, "power": 15000, # Watts (dilution refrigerator) "cost_per_hour": 1.60, # IBM Quantum Network "type": "Gate-based Quantum", "source": "IBM Quantum pricing documentation" } } def check_api_health(): """Check if the API is online.""" try: response = requests.get(f"{API_BASE}/health", timeout=10) if response.status_code == 200: data = response.json() gpu = data.get('gpu', 'Unknown') return f"Online ({gpu})" return "Offline" except Exception as e: return f"Error: {str(e)}" def calculate_search_space(n): """Calculate and format the search space size.""" space = 2 ** n if space > 1e100: return f"2^{n} (astronomical)" elif space > 1e30: return f"2^{n} ({space:.2e})" else: return f"2^{n} = {space:,.0f}" def get_sat_difficulty(num_vars): """Analyze SAT problem difficulty.""" clauses = int(num_vars * 4.27) if num_vars <= 50: difficulty, desc = "Easy", "Solvable in milliseconds" elif num_vars <= 150: difficulty, desc = "Medium", "Requires seconds" elif num_vars <= 300: difficulty, desc = "Hard", "May require minutes" else: difficulty, desc = "Very Hard", "Exponential blowup region" return f""" ### Problem Preview | Parameter | Value | |-----------|-------| | Variables | {num_vars} | | Clauses | {clauses} | | Ratio (α) | 4.27 | | Search Space | {calculate_search_space(num_vars)} | | Difficulty | **{difficulty}** | *{desc}* """ def get_ising_difficulty(size): """Analyze Ising problem difficulty.""" interactions = size * (size - 1) // 2 if size <= 30: difficulty, desc = "Easy", "Small spin glass" elif size <= 100: difficulty, desc = "Medium", "Moderate complexity" elif size <= 300: difficulty, desc = "Hard", "Large spin system" else: difficulty, desc = "Very Hard", "Massive optimization landscape" return f""" ### Problem Preview | Parameter | Value | |-----------|-------| | Spins | {size} | | Interactions | ~{interactions:,} | | Configuration Space | {calculate_search_space(size)} | | Difficulty | **{difficulty}** | *{desc}* """ def run_sat_verification(num_variables: int, num_trials: int): """Run SAT verification through the public API.""" num_variables = max(20, min(500, int(num_variables))) num_trials = max(1, min(20, int(num_trials))) num_clauses = int(num_variables * 4.27) start_time = time.time() try: response = requests.post( f"{API_BASE}/verify/sat", json={"size": num_variables, "trials": num_trials}, timeout=120, headers={"Content-Type": "application/json"} ) elapsed_time = time.time() - start_time if response.status_code != 200: return f"## Error\n\nAPI Error: {response.status_code}" data = response.json() if not data.get("success"): return f"## Error\n\n{data.get('error', 'Unknown error')}" results = data.get("data", {}).get("results", {}) mean_sat = results.get("mean_satisfaction", 0) std_sat = results.get("std_satisfaction", 0) max_sat = results.get("max_satisfaction", 0) min_sat = results.get("min_satisfaction", 0) # Quality tier if mean_sat >= 95: tier = "EXCELLENT" elif mean_sat >= 85: tier = "GOOD" elif mean_sat >= 70: tier = "ACCEPTABLE" else: tier = "LOW" # Resource calculations energy_j = HARDWARE_INFO["typical_power"] * elapsed_time cost_usd = (HARDWARE_INFO["cost_per_hour"] / 3600) * elapsed_time dwave = COMPETITORS["D-Wave Advantage"] dwave_energy = dwave["power"] * elapsed_time power_ratio = round(dwave_energy / energy_j) if energy_j > 0 else 0 return f""" ## SAT Verification Results ### Performance | Metric | Value | |--------|-------| | Mean Satisfaction | **{mean_sat:.2f}%** | | Std Deviation | ±{std_sat:.2f}% | | Best/Worst Trial | {max_sat:.2f}% / {min_sat:.2f}% | | Quality Tier | **{tier}** | ### Resources | Metric | Daugherty | D-Wave Equivalent | |--------|-----------|-------------------| | Time | {elapsed_time:.3f}s | {elapsed_time:.3f}s | | Energy | {energy_j:.1f} J | {dwave_energy:.1f} J | | Cost | ${cost_usd:.6f} | ${(dwave["cost_per_hour"]/3600)*elapsed_time:.6f} | **Efficiency: {power_ratio}x less power than D-Wave** --- *{num_variables} variables, {num_clauses} clauses, {num_trials} trials* """ except requests.exceptions.Timeout: return "## Error\n\nRequest timed out. Try smaller problem." except Exception as e: return f"## Error\n\n{str(e)}" def run_ising_verification(size: int, trials: int): """Run Ising model verification through the public API.""" size = max(10, min(500, int(size))) trials = max(1, min(20, int(trials))) start_time = time.time() try: response = requests.post( f"{API_BASE}/verify/ising", json={"size": size, "trials": trials}, timeout=120, headers={"Content-Type": "application/json"} ) elapsed_time = time.time() - start_time if response.status_code != 200: return f"## Error\n\nAPI Error: {response.status_code}" data = response.json() if not data.get("success"): return f"## Error\n\n{data.get('error', 'Unknown error')}" results = data.get("data", {}).get("results", {}) quality_score = results.get("quality_score", 0) quality_tier = results.get("quality_tier", "UNKNOWN") solution_hash = results.get("solution_hash", "N/A") accelerator = data.get("data", {}).get("accelerator", "Unknown") # Resource calculations energy_j = HARDWARE_INFO["typical_power"] * elapsed_time cost_usd = (HARDWARE_INFO["cost_per_hour"] / 3600) * elapsed_time dwave = COMPETITORS["D-Wave Advantage"] dwave_energy = dwave["power"] * elapsed_time power_ratio = round(dwave_energy / energy_j) if energy_j > 0 else 0 return f""" ## Ising Model Results ### Optimization Performance | Metric | Value | |--------|-------| | Quality Score | **{quality_score:.1f}** | | Quality Tier | **{quality_tier}** | | Solution Hash | `{solution_hash}` | | Accelerator | {accelerator} | ### Resources | Metric | Daugherty | D-Wave Equivalent | |--------|-----------|-------------------| | Time | {elapsed_time:.3f}s | {elapsed_time:.3f}s | | Energy | {energy_j:.1f} J | {dwave_energy:.1f} J | | Cost | ${cost_usd:.6f} | ${(dwave["cost_per_hour"]/3600)*elapsed_time:.6f} | **Efficiency: {power_ratio}x less power than D-Wave** --- *{size} spins, {trials} trials* """ except requests.exceptions.Timeout: return "## Error\n\nRequest timed out. Try smaller problem." except Exception as e: return f"## Error\n\n{str(e)}" # Educational content INTRO_MD = """ # Daugherty Engine GPU-accelerated constraint satisfaction and combinatorial optimization. Achieving quantum-competitive results on classical hardware. ## Available Tests | Problem | Description | Quantum Equivalent | |---------|-------------|-------------------| | **3-SAT** | Boolean satisfiability at phase transition | Gate-based QC | | **Ising** | Spin glass energy minimization | Quantum Annealing | """ ABOUT_SAT_MD = """ ## Boolean Satisfiability (SAT) ### The Problem Given a boolean formula in CNF (Conjunctive Normal Form): ``` (x₁ OR ¬x₂ OR x₃) AND (¬x₁ OR x₂ OR ¬x₄) AND ... ``` Find an assignment of TRUE/FALSE to each variable that satisfies ALL clauses. ### Why It Matters - **First NP-Complete problem** (Cook-Levin theorem, 1971) - **Universal reducer**: Most combinatorial problems can be encoded as SAT - **Applications**: Circuit verification, AI planning, cryptanalysis, scheduling ### The Phase Transition At α = 4.27 (clauses/variables ratio): - **Below 4.27**: Almost always satisfiable - **Above 4.27**: Almost always unsatisfiable - **At 4.27**: Maximum uncertainty — **hardest instances** We test at this critical threshold. """ ABOUT_ISING_MD = """ ## Ising Model Optimization ### The Problem The Ising model represents a system of interacting spins (±1): ``` H(s) = -Σᵢⱼ Jᵢⱼ sᵢ sⱼ - Σᵢ hᵢ sᵢ ``` Goal: Find spin configuration that minimizes total energy H. ### Why It Matters - **Native to quantum annealers**: D-Wave's fundamental problem type - **QUBO mapping**: Most optimization problems encode to Ising/QUBO - **Applications**: Portfolio optimization, logistics, machine learning ### Connection to Quantum Computing Quantum annealers (D-Wave) physically simulate the Ising model using superconducting qubits. Our approach achieves competitive results using GPU parallelism instead of quantum effects. """ HARDWARE_MD = f""" ## Hardware Comparison ### Daugherty Engine | Spec | Value | |------|-------| | GPU | {HARDWARE_INFO["name"]} | | VRAM | {HARDWARE_INFO["vram"]} GB | | Architecture | {HARDWARE_INFO["architecture"]} | | CUDA Cores | {HARDWARE_INFO["cuda_cores"]:,} | | Power | {HARDWARE_INFO["typical_power"]}W typical | | Cost | ${HARDWARE_INFO["cost_per_hour"]}/hour | ### Quantum Systems | System | Qubits | Power | Cost/Hour | |--------|--------|-------|-----------| | D-Wave Advantage | 5,000 | ~25 kW | $13.20 | | IBM Quantum | 127 | ~15 kW | $1.60 | | Google Sycamore | 70 | ~25 kW | N/A | ### Key Insight Quantum computers require: - **Dilution refrigerators** (10-15 millikelvin) - **Electromagnetic shielding** - **Error correction overhead** Our GPU approach avoids these requirements entirely. """ METHODOLOGY_MD = """ ## Methodology ### SAT Verification We measure **satisfaction rate** — percentage of clauses satisfied. | Tier | Satisfaction | Meaning | |------|-------------|---------| | EXCELLENT | ≥95% | Near-optimal | | GOOD | ≥85% | High quality | | ACCEPTABLE | ≥70% | Reasonable | | LOW | <70% | Very hard instance | ### Ising Verification We measure **quality score** — normalized energy minimization quality. | Tier | Meaning | |------|---------| | EXCELLENT | Ground state or near | | GOOD | Low energy solution | | ACCEPTABLE | Local minimum | | POOR | High energy state | ### Why These Metrics? At the phase transition, problems may be unsatisfiable. Satisfaction percentage captures solution quality even for UNSAT instances (MAX-SAT interpretation). """ LINKS_MD = """ ## Resources ### Live Demos - [Full Interactive Demo](https://1millionspins.originneural.ai) — Animated visualizations - [Origin Neural](https://originneural.ai) — Company site ### Academic References - Cook (1971) — "The Complexity of Theorem-Proving Procedures" - Mézard et al. (2002) — "Random Satisfiability Problems" - Kirkpatrick & Selman (1994) — "Critical Behavior in SAT" - Barahona (1982) — "On the computational complexity of Ising spin glass models" ### Contact **Shawn@smartledger.solutions** """ # Build Interface with gr.Blocks( title="Daugherty Engine", theme=gr.themes.Soft(primary_hue="emerald"), css=".gradio-container { max-width: 1100px !important; }" ) as demo: gr.Markdown(INTRO_MD) with gr.Row(): api_status = gr.Textbox( label="API Status", value=check_api_health(), interactive=False, scale=3 ) refresh_btn = gr.Button("Refresh", size="sm", scale=1) refresh_btn.click(fn=check_api_health, outputs=api_status) with gr.Tabs(): # SAT Tab with gr.TabItem("3-SAT Solver"): with gr.Row(): with gr.Column(scale=1): sat_vars = gr.Slider(20, 500, 100, step=10, label="Variables") sat_trials = gr.Slider(1, 20, 5, step=1, label="Trials") sat_info = gr.Markdown(get_sat_difficulty(100)) sat_vars.change(get_sat_difficulty, sat_vars, sat_info) sat_btn = gr.Button("Run SAT Verification", variant="primary") with gr.Column(scale=2): sat_results = gr.Markdown("*Click 'Run SAT Verification' to test*") sat_btn.click(run_sat_verification, [sat_vars, sat_trials], sat_results) # Ising Tab with gr.TabItem("Ising Model"): with gr.Row(): with gr.Column(scale=1): ising_size = gr.Slider(10, 500, 50, step=10, label="Spins") ising_trials = gr.Slider(1, 20, 5, step=1, label="Trials") ising_info = gr.Markdown(get_ising_difficulty(50)) ising_size.change(get_ising_difficulty, ising_size, ising_info) ising_btn = gr.Button("Run Ising Verification", variant="primary") with gr.Column(scale=2): ising_results = gr.Markdown("*Click 'Run Ising Verification' to test*") ising_btn.click(run_ising_verification, [ising_size, ising_trials], ising_results) # Info Tabs with gr.TabItem("About SAT"): gr.Markdown(ABOUT_SAT_MD) with gr.TabItem("About Ising"): gr.Markdown(ABOUT_ISING_MD) with gr.TabItem("Hardware"): gr.Markdown(HARDWARE_MD) with gr.TabItem("Methodology"): gr.Markdown(METHODOLOGY_MD) with gr.TabItem("Links"): gr.Markdown(LINKS_MD) gr.Markdown("---") gr.Markdown( "*API-only demo — no proprietary code exposed. " "Built with [Gradio](https://gradio.app).*" ) if __name__ == "__main__": demo.launch()