Comparison of the σ level detection of planetary injected signals at the periods of detected planets. Panel (a): Injection-recovery of HD 176986 b. The 1D GP is slightly better. The orbital period of the planet is lower than half the rotation period. In this regime, the tendency of the 1D GP model to overfit is less pronounced. Panel (b): Injection-recovery of HD 176986 c. The orbital period of the planet is close to half the rotation period. At this period, the multidimensional GP outperforms the 1D GP. Panel (c): Injection-recovery of HD 176986 d. At a longer orbital period, the multidimensional GP framework outperforms the 1D GP.