Following "Intensify", "Mindcircus" was released as the third single from Intensify. In 2002, Black Hole released Mindcircus (Remixes) which reached #6 on Billboard's US Dance Club Songs chart. A music video for the song was also filmed.
BBC Music's 2002 review of Intensify described the song positively, praising Trisha Lee Kelshall's vocal performance. Christian Hopwood wrote "Trisha Lee Kelshall provides a firm tie to their house moorings as her vocals chisel a melancholy edge to the lush arrangements of "Mindcircus"".