Total volume-weighted fraction of neutral gas as a function of time in SPHINX-SN (red) and SPHINX-CR (dark blue). We additionally show with black data points observational estimates from studies indicated in the legend and in the text. The reionisation history is drastically delayed with CRs, and the simulation volume is still composed of 60 per cent of neutral hydrogen at z = 5. The simulation volume of SPHINX-SN is largely ionised by z = 5, which is in much better agreement with the observational estimates.