In more detail, Alchemidus is a speed puzzle, with players trying to be the fastest to find the cheapest way to convert clay to gold.
The game has four pairs of d6 dice, in gold, lead, clay and white to show the process. The 2 gold and clay dice, and 1 of the lead dice are rolled and placed on their respective marker cards. The players must figure how to progress from the two clay numbers, to the one lead number, and then back to the two gold numbers.
To do this, there are three rows of five cards dealt out from three small decks. One row has spells to remove a die, so you need that to go from clay to lead. Likewise, another row is spells to add a die, so you need that to go from lead to gold. The third row is to modify dice values. The spells are varied and often symmetrical, so you might have one spell saying "If the total is >=7, do..." and another saying "If the total is <=7, do...", or a spell for odd numbered dice, and another for even numbers.
Each spell card has a number on it, the cost of using that spell. The numbers go from 0 to 5 with five cards being 10 and one being 20 (Get any value die). Players must read the spells and quickly figure out the lowest cost method of going from clay to gold. It should always be possible, the spells have sufficient variety and there's enough of them.
When one player declares a cost, the others have a little time to declare a lower cost. The player that proves the lowest formula wins the round.
The game is well made, the dice and card stock are good quality. The game comes with Japanese rules only but the spell cards are all in English mainly, with notes in Japanese. The spells are sufficiently obvious, gamers will not have trouble figuring them out.