PostgreSQL fast random rows for tables with integer id with uniform distribution

query.sql

WITH RECURSIVE results(id, i, picked, roll) AS (
  WITH bounds AS (SELECT min(id), max(id) - min(id) AS delta FROM table)
  (
    SELECT NULL::integer
    ,      0
    ,      ARRAY[]::integer[]
    ,      min + round(delta * random())
      FROM bounds
  )
  UNION ALL
  (
    SELECT target.id
    ,      i + 1
    ,      picked || target.id
    ,      min + round(delta * random())
      FROM bounds, results, table AS target
     WHERE target.id >= roll -- why `min + round(delta * random())` here would get weird result?
       AND NOT target.id = ANY (picked)
       AND i < 8
  ORDER BY target.id
     LIMIT 1
  )
)
SELECT target.id FROM table AS target INNER JOIN results USING (id);