fix_readme

Author: linhaowei1

examples/symbolic_regression/README.md

@@ -202,14 +202,14 @@ def func(x, params):
     return restoring + forcing + interaction + bias
 ```
 
-The ground truth for this PO10 task is represented by the equation:
-$$
-F_0sin(t)−ω_0^2(γt+1)x(t)−ω_0^2x(t)^3−ω_0^2x(t).
-$$
+The ground truth for this PO10 task is represented by the equation: 
+
+$F_0sin(t)−ω_0^2(γt+1)x(t)−ω_0^2x(t)^3−ω_0^2x(t).$
+
 This can be expanded and simplified to:
-$$
-F_0sin(t)−ω_0^2γtx(t)−2ω_0^2x(t)−ω_0^2x(t)^3.
-$$
+
+$F_0sin(t)−ω_0^2γtx(t)−2ω_0^2x(t)−ω_0^2x(t)^3.$
+
 Notably, the core functional forms present in this ground truth equation are captured by the evolved symbolic expression:
 
 - The $sin(t)$ component can be represented by `params[4] * np.sin(params[5] * t_val)`.
@@ -243,18 +243,18 @@ For benchmark-wide comparisons and results from other methods, please refer to t
 
 *Note: Below we extract the approximate results of baselines in Fig.5 from LLMSR-Bench paper.*
 
-**Median NMSE – in-domain (Test)**
+**Median NMSE (Test Set)**
 
-| **Domain**       | **DirectLLM** | **LLMSR**       | **LaSRS**   | **GA**      | **OpenEvolve** |
+| **Domain**       | **Direct** | **LLMSR**       | **LaSR**   | **SGA**      | **OpenEvolve** |
 | ---------------- | ------------- | --------------- | ----------- | ----------- | -------------- |
 | Chemistry        | ~6.0 × 10⁻¹   | **~1.5 × 10⁻⁶** | ~1.0 × 10⁻⁴ | ~1.0 × 10⁻² | 2.34 × 10⁻⁶    |
 | Biology          | ~2.0 × 10⁻²   | ~1.0 × 10⁻⁵     | ~1.0 × 10⁻⁴ | ~2.0 × 10⁻⁴ | –              |
 | Physics          | ~3.0 × 10⁻¹   | **~2.0 × 10⁻⁷** | ~1.0 × 10⁻³ | ~4.0 × 10⁻³ | 1.85 × 10⁻⁵    |
 | Material Science | ~3.0 × 10⁻¹   | ~1.0 × 10⁻⁴     | ~7.0 × 10⁻⁴ | ~3.0 × 10⁻² | –              |
 
-**Median NMSE – out-of-domain (OOD Test)**
+**Median NMSE (OOD Test Set)**
 
-| **Domain**       | **DirectLLM** | **LLMSR**   | **LaSRS**   | **GA**     | **OpenEvolve**  |
+| **Domain**       | **Direct** | **LLMSR**   | **LaSR**   | **SGA**     | **OpenEvolve**  |
 | ---------------- | ------------- | ----------- | ----------- | ---------- | --------------- |
 | Chemistry        | ~3.0 × 10²    | ~5.0 × 10⁻² | ~1.0 × 10⁰  | ~1.5 × 10⁰ | **3.14 × 10⁻²** |
 | Biology          | ~1.2 × 10²    | ~4.0 × 10⁰  | ~3.0 × 10¹  | ~4.0 × 10¹ | –               |