some changes

Author: sivasathyaseeelan

benchmarks/Jumps/VR_Aggregator_Benchmark.jmd

@@ -15,21 +15,21 @@ rng = StableRNG(12345)
 
 # Introduction
 
-This document benchmarks the performance of variable rate jumps in `JumpProcesses.jl` and visualizes example solution trajectories for the test cases from `variable_rate_test.jl`. The benchmark compares `VR_Direct` and `VR_FRM` aggregators, while the visualization shows state variables vs. time to verify simulation behavior.
-
-**Note**: If you encounter a precompilation error due to method overwriting in `JumpProcesses.jl`, add `__precompile__(false)` to `/home/siva/Desktop/julia/JumpProcesses.jl/src/JumpProcesses.jl` and clear the compilation cache (`rm -rf ~/.julia/compiled`).
+This document benchmarks the performance of variable rate jumps in `JumpProcesses.jl` and 
+visualizes example solution trajectories for the test cases from `variable_rate_test.jl`. 
+The benchmark compares `VR_Direct` and `VR_FRM` aggregators, while the visualization shows 
+state variables vs. time to verify simulation behavior.
 
 The test cases are:
 1. **Scalar ODE with Variable Rate Jumps**: Solved with `Tsit5` and `Rosenbrock23` (with/without autodiff).
 2. **Scalar SDE with Variable Rate Jumps**: Solved with `SRIW1`.
-3. **SDE with Parameter-Switching Jump**: Solved with `SRA1`.
-4. **ODE with Constant Rate Jump**: Solved with `Tsit5`.
-5. **ODE with Variable Rate Jumps (Alternative Rate)**: Solved with `Tsit5`.
-6. **SDE with Variable Rate Jumps (Alternative Rate)**: Solved with `SRIW1`.
-7. **Matrix ODE with Variable Rate Jump**: Solved with `Tsit5`.
-8. **Complex ODE with Variable Rate Jump**: Solved with `Tsit5`.
+3. **ODE with Constant Rate Jump**: Solved with `Tsit5`.
+4. **ODE with Variable Rate Jumps (Alternative Rate)**: Solved with `Tsit5`.
+5. **SDE with Variable Rate Jumps (Alternative Rate)**: Solved with `SRIW1`.
+6. **Complex ODE with Variable Rate Jump**: Solved with `Tsit5`.
 
-For visualization, we solve one trajectory per test case with 2 jumps. For benchmarking, we vary jumps from 1 to 20, running 100 trajectories per configuration.
+For visualization, we solve one trajectory per test case with 2 jumps. For benchmarking, 
+we vary jumps from 1 to 20, running 100 trajectories per configuration.
 
 # Benchmark and Visualization Setup