GRASP (Global Reliability Analysis & Solver Profiling) is a research-grade framework for analyzing the global behavior of numerical root-finding algorithms.
Basin-of-attraction analysis | Solver benchmarking | Convergence diagnostics | Validation
GRASP is a numerical experimentation and validation framework designed to study solver behavior across large sets of initial conditions.
Unlike traditional tools that evaluate solvers from a single starting point, GRASP analyzes:
- Global convergence behavior
- Basin-of-attraction structure
- Statistical reliability (Monte Carlo)
- Failure regions and instability patterns
- Expected vs observed solver behavior
- Automated validation of results
GRASP is not just a solver.
It is a system for understanding:
Which solver to trust — and why
- 🔍 Global Analysis across thousands of initial conditions
- 📊 Monte Carlo reliability estimation
- ⚙️ Multiple solver support (Newton, Secant, Bisection, Brent, Hybrid, Safeguarded Newton)
- 📈 Statistical metrics
- Success / failure probability
- Confidence intervals
- Mean & median iterations
- Root coverage
- 🧠 Automated interpretation
- Key observations
- Solver recommendations
- ✅ Validation layer (core contribution)
- Checks consistency between expected and observed behavior
Try GRASP interactively:
👉 https://root-finding-reliability-framework.vercel.app
git clone https://github.com/krishnavedula5-code/GRASP.git
cd GRASP