Are judges required to make a statement on each warrant justifying their decision to grant a warrant given the information presented, or is it basically just a

Are judges required to make a statement on each warrant justifying their decision to grant a warrant given the information presented, or is it basically just a signature. I would hope that signing off on a warrant requires more rigor than a mere signature. How adversarial is the warrant granting process. Is it common for warrants asked for to be granted by default, or is there an adversarial process in place that forces the police/detectives to go back and do more investigative work if they don't provide enough substantive evidence to justify a warrant being granted. Furthermore, is warrant-granting by judges a matter of the public record. i.e. Can I go somewhere to lookup how many warrants a particular judge has granted, how many they have denied, and how many that were denied were eventually granted and the average number of resubmissions required to get those that were initially denied approved?