Based on U.S. Supreme Court Eighth Amendment jurisprudence, what will be the most likely outcome?

The defendant was convicted under a criminal statute of raping a child under the age of 12. The court sentenced him to death pursuant to the permissible provisions of the criminal statute. The defendant appealed the death sentence, claiming that it violates the Eighth Amendment by imposing a sentence that is cruel and unusual based on the crime committed. Based on U.S. Supreme Court Eighth Amendment jurisprudence, what will be the most likely outcome?