llm-srbench/phys_osc/PO4/formula.py

# ===== GROUND TRUTH REFERENCE =====
# NOTE: This ground truth serves as a reference answer for symbolic regression tasks
# This expression is NOT the original function used to generate the training data
# It is provided solely for evaluation and comparison of large model outputs
# DO NOT use this expression as the basis for data generation

def dv_dt(x, t, v):
    F0 = 0.4465879557417327
    alpha = 0.3254156367450257
    omega0 = 0.3333333333333333
    gamma = 0.4465879557417327
    return F0 * np.sin(t) - alpha * v**3 - omega0**2 * (gamma * np.abs(v)**(1/3) + 1) * x - omega0**2 * x