```typescript
/** Work stretches of a shift: span-long, rest-separated, short tails dropped. */
export function carveShift(
  start: number,
  end: number,
  span: number,
  rest: number,
  least: number,
): number[][] {
  for (const value of [start, end, span, rest, least]) {
    if (!Number.isInteger(value)) {
      throw new Error("every argument must be an integer");
    }
  }
  if (start >= end) {
    throw new Error("shift start must precede its end");
  }
  if (span < 1 || rest < 1) {
    throw new Error("span and rest must be at least 1");
  }
  if (least < 1 || least > span) {
    throw new Error("least must be between 1 and span");
  }

  const stretches: number[][] = [];
  let currentStretchStart = start;
  let remainingTime = end - start;

  while (remainingTime >= least) {
    const stretchLength = Math.min(span, remainingTime);
    stretches.push([currentStretchStart, currentStretchStart + stretchLength]);
    currentStretchStart += stretchLength + rest;
    remainingTime -= stretchLength + rest;
  }

  return stretches;
}
```