In this study, we demonstrate that for the simultaneous hydrodeoxygenation (HDO) of 1,4-anhydroerythritol a comparable yield of tetrahydrofuran is obtained at half the previously reported H-2 pressure. The simultaneous hydrodeoxygenation was conducted using a heterogeneous ReOx-Pd/CeO2 catalyst. An L9 Taguchi design of experiment was enacted to elucidate the temperature, pressure, and catalyst loading effects on the yield of the HDO reaction by testing pressures ranging from 40 to 80 bar H-2, temperatures of 100-180 degrees C, and Re loadings of 2-4 wt %. Our design showed that the yield of this reaction is significantly affected by the reaction temperature only. An L9 Taguchi design was conducted for xylitol simultaneous hydrodeoxygenation with pressures ranging from 5 to 10 bar H-2, temperatures of 140-180 degrees C, and Re loadings of 2-4 wt %. The xylitol design elucidated the direct relation of pressure, and the inverse relation of temperature and catalyst loading, to yield with the optimal reaction condition being 140 degrees C and 10 bar H-2.