Cheapest way to combine Minecraft enchantment books

A small example that disproves “always combine books first”

Use a fresh sword, a fresh Unbreaking III book and a fresh Mending I book. The book contributions are 3 and 2 levels. All inputs begin with work count 0.

Plan	Steps in levels	Total
Books directly onto sword	Unbreaking: 3; Mending: 2 + 1 prior work	6
Combine books first	Unbreaking left, Mending right: 2; combined book onto sword: 3 + 2 + 1	8
Reverse the book pair	Mending left, Unbreaking right: 3; combined book onto sword: 3 + 2 + 1	9

These totals are arithmetic examples under the stated model, not a recorded game session. Swapping the two direct applications also totals 6. The right-hand input supplies the enchantment charge, so the direction of a book pair matters.

Why longer plans need comparison

Each modeled combine gives the result a work count one above the larger input count. A book assembled through several merges carries that history onto the final application. Applying a “super book” once does not make the resulting item’s history equal to one.

With more books, some balanced groups can reduce repeated penalties. Their enchantment charges can offset that saving. Sorting by the cheapest multiplier, highest level or rarest enchantment alone cannot establish the best full plan.

Reproduce a plan with your inputs

1. Select the actual item and add each single-enchantment book separately, including duplicates.
2. Enter each input’s work count. A book obtained as loot is not automatically count 2; previous anvil use is the relevant fact.
3. Choose total experience levels or remaining work count. The planner considers both book orientations and all supported merge trees for up to eight books.
4. Read every step. A low total with an individual 40-level step is not a Survival plan.
5. Follow the listed left and right slots exactly. Recalculate if your real anvil displays a different result.

Know what “cheapest” measures

The objective is the sum of level charges, not raw experience points or time spent collecting them. Experience needed for the next level grows as your level rises. The planner does not model farms, purchases, repair materials, existing enchantments on the target, or books that already contain several different enchantments.