Genshin Artifact Calculator: Optimize Your Builds


Genshin Artifact Calculator

Optimize your character builds by calculating artifact substat potential.

Artifact Stat Probability Calculator



The current level of your artifact.



The star rating of your artifact.



The primary stat of the artifact.



How many substats the artifact started with (1-4).



Estimate the average number of times each substat has been upgraded. Higher values mean more rolls.



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Average Substat Value: —
Potential Total Substat Value: —
Max Possible Value: —

Artifact Substat Value Ranges


Substat Value Ranges by Rarity and Tier
Substat Type Min Roll (3-Star) Max Roll (3-Star) Min Roll (4-Star) Max Roll (4-Star) Min Roll (5-Star) Max Roll (5-Star)

Substat Roll Distribution


What is the Genshin Artifact Calculator?

The Genshin Artifact Calculator is a powerful tool designed for players of the popular action RPG, Genshin Impact. Its primary function is to help players estimate the potential of their artifact substats. Artifacts are crucial for character progression, providing significant stat boosts, and obtaining good substats is a major grind. This calculator helps you understand how many rolls a substat might have received and what its potential total value could be, based on its rarity, level, and initial substat count. It’s an indispensable tool for endgame players looking to min-max their character builds and understand the probability behind artifact farming.

Who should use it:

  • Endgame players aiming for optimal character builds.
  • Players who want to quantify the strength of their current artifacts.
  • Anyone curious about the statistical distribution of artifact substats in Genshin Impact.
  • Players looking to decide whether to invest further in an artifact based on its potential.

Common Misconceptions:

  • Misconception: This calculator guarantees perfect artifacts. Reality: It estimates potential based on averages and known roll ranges; RNG is still a major factor.
  • Misconception: All substats roll the same value. Reality: Substats have distinct minimum and maximum roll ranges that vary by rarity and the specific substat.
  • Misconception: The calculator predicts the future. Reality: It analyzes existing artifacts and their potential, it doesn’t predict new drops.

Genshin Artifact Calculator Formula and Mathematical Explanation

The Genshin Artifact Calculator estimates the total value of a substat by considering its rarity, the number of times it has been upgraded (rolls), and the statistical range of values for each roll. The core idea is to multiply the average roll value by the estimated number of rolls.

Formula Derivation:

  1. Determine Substat Roll Ranges: Based on the artifact’s rarity (3-star, 4-star, 5-star), identify the minimum and maximum possible value for each individual substat roll. For example, a 5-star CRIT Rate substat might roll between 2.7% and 3.9% per roll.
  2. Estimate Number of Rolls: The artifact level dictates how many times a substat can be upgraded. A level 0 artifact starts with its initial substats. A level 20 artifact has received 4 upgrades (rolls), distributed among its initial substats. We approximate the total number of rolls an artifact has received by:

    Total Rolls = (Artifact Level / 4) + Initial Substat Count - 1

    A simpler, more direct approach for the calculator is to use the provided `rollsPerSubstat` and `initialSubstatCount`. The total number of rolls for a specific substat is often approximated by assuming an even distribution or focusing on the average. For this calculator, we’ll use:

    Estimated Total Rolls for Substat = Initial Substat Count + floor((Artifact Level - Initial Substat Count * 4) / 4) — *This is complex due to uneven distribution. A simpler heuristic is often used:*

    Simplified Total Rolls = Initial Substat Count + (Artifact Level / 4) (assuming each initial substat received some rolls)

    The calculator uses a more direct `rollsPerSubstat` input for simplicity and user control.
  3. Calculate Average Roll Value: For each substat, the average roll value is calculated as:

    Average Roll Value = (Minimum Roll Value + Maximum Roll Value) / 2
  4. Calculate Average Substat Value: This represents the expected total value a specific substat has accumulated.

    Average Substat Value = Average Roll Value * rollsPerSubstat
  5. Calculate Potential Total Substat Value: This is the sum of the average values of all initial substats.

    Potential Total Substat Value = Sum of (Average Substat Value for each initial substat)
  6. Calculate Max Possible Value: This is the sum of the maximum possible values for each initial substat, assuming every roll hit the maximum.

    Max Possible Value = Sum of (Maximum Roll Value for each initial substat * rollsPerSubstat)

Variable Explanations:

Variable Meaning Unit Typical Range (Example: CRIT Rate on 5-Star)
Artifact Level The current upgrade level of the artifact. Level (0-20) 0 – 20
Rarity The star rating of the artifact. Affects substat roll value ranges. Stars (3, 4, 5) 3, 4, 5
Main Stat Type The primary stat of the artifact (e.g., CRIT Rate). Stat Name N/A
Initial Substat Count The number of substats the artifact possessed at level 0. Count 1 – 4
Rolls Per Substat (Estimated) An estimation of how many times each initial substat has been upgraded. Count 1+
Minimum Roll Value The smallest possible increase a substat can gain per upgrade roll. %, Flat Value 2.7% (CRIT Rate, 5-Star)
Maximum Roll Value The largest possible increase a substat can gain per upgrade roll. %, Flat Value 3.9% (CRIT Rate, 5-Star)
Average Roll Value The mean value of a single substat roll. %, Flat Value 3.3% (CRIT Rate, 5-Star)
Average Substat Value The estimated total value accumulated by a single substat over all its rolls. %, Flat Value ~13.2% (If rollsPerSubstat=4, CRIT Rate, 5-Star)
Potential Total Substat Value The sum of the average values of all initial substats. %, Flat Value Sum of Average Substat Values for all initial substats.
Max Possible Value The sum of the maximum possible values for each initial substat, assuming every roll hit the maximum. %, Flat Value Sum of (Max Roll Value * rollsPerSubstat) for all initial substats.

Practical Examples (Real-World Use Cases)

Example 1: Optimizing a CRIT Rate Circlet

Scenario: A player has a 5-star CRIT Rate circlet with CRIT Rate as its main stat. It started with 4 substats: CRIT DMG, ATK%, HP%, and DEF%. The artifact is currently level 16.

Inputs:

  • Artifact Level: 16
  • Rarity: 5-Star
  • Main Stat Type: CRIT Rate
  • Initial Substat Count: 4
  • Estimated Rolls Per Substat: Let’s assume each substat received 1 roll, so `rollsPerSubstat` = 1.

Calculations:

  • 5-Star CRIT Rate Min Roll: 2.7%
  • 5-Star CRIT Rate Max Roll: 3.9%
  • Average CRIT Rate Roll: (2.7% + 3.9%) / 2 = 3.3%
  • Average Substat Value (CRIT Rate): 3.3% * 1 roll = 3.3%
  • Max Possible Value (CRIT Rate): 3.9% * 1 roll = 3.9%

Interpretation: This level 16 artifact has had 4 rolls distributed among its 4 substats (16/4 = 4 total rolls). If we assume each of the 4 initial substats received exactly one roll, the calculator would show an Average Substat Value of 3.3% CRIT Rate and a Max Possible Value of 3.9% CRIT Rate for the CRIT Rate substat itself. This indicates a fairly average roll. If the player were to upgrade it to level 20, the total rolls would be 5. If the CRIT Rate substat received another roll, its total value would increase.

Example 2: Evaluating a 4-Star ATK% Sands

Scenario: A player has a 4-star ATK% Sands artifact. It started with 3 substats: CRIT DMG, ATK Flat, and Energy Recharge%. The artifact is currently level 12.

Inputs:

  • Artifact Level: 12
  • Rarity: 4-Star
  • Main Stat Type: ATK%
  • Initial Substat Count: 3
  • Estimated Rolls Per Substat: Assume 1 roll per substat, so `rollsPerSubstat` = 1.

Calculations:

  • 4-Star CRIT DMG Min Roll: 5.4%
  • 4-Star CRIT DMG Max Roll: 7.3%
  • Average CRIT DMG Roll: (5.4% + 7.3%) / 2 = 6.35%
  • Average Substat Value (CRIT DMG): 6.35% * 1 roll = 6.35%
  • Max Possible Value (CRIT DMG): 7.3% * 1 roll = 7.3%

  • 4-Star ATK Flat Min Roll: 16.08
  • 4-Star ATK Flat Max Roll: 22.01
  • Average ATK Flat Roll: (16.08 + 22.01) / 2 = 19.045
  • Average Substat Value (ATK Flat): 19.045 * 1 roll = 19.045
  • Max Possible Value (ATK Flat): 22.01 * 1 roll = 22.01

  • 4-Star Energy Recharge Min Roll: 4.5%
  • 4-Star Energy Recharge Max Roll: 6.5%
  • Average ER Roll: (4.5% + 6.5%) / 2 = 5.5%
  • Average Substat Value (ER): 5.5% * 1 roll = 5.5%
  • Max Possible Value (ER): 6.5% * 1 roll = 6.5%

Interpretation: This level 12 artifact has had 3 rolls (12/4 = 3). With `rollsPerSubstat` = 1, the calculator shows the average potential values for CRIT DMG, ATK Flat, and ER. The Potential Total Substat Value would be the sum of these averages. The Max Possible Value indicates the ceiling for these substats. If the player upgrades this artifact to level 20, all 4 substats will have received at least one roll, and some will have received two. The calculator helps visualize the potential gain.

How to Use This Genshin Artifact Calculator

Using the Genshin Artifact Calculator is straightforward. Follow these steps to assess your artifacts:

  1. Input Artifact Details:
    • Artifact Level: Enter the current level of your artifact (e.g., 0, 4, 8, 12, 16, 20).
    • Rarity: Select the star rating (3, 4, or 5 stars) from the dropdown.
    • Main Stat Type: Choose the primary stat of the artifact. This primarily affects the context and data displayed for substats.
    • Initial Substat Count: Enter how many substats the artifact had when it was at level 0 (1, 2, 3, or 4).
    • Avg. Rolls Per Substat: This is an estimation. A common approach is to assume each initial substat has received roughly the same number of rolls. For a level 20 artifact with 4 initial substats, each substat has received 1 roll on average (4 rolls total / 4 substats). For a level 16 artifact with 3 initial substats, each has received 1.33 rolls on average. Enter your best estimate.
  2. Calculate: Click the “Calculate Potential” button.
  3. Read the Results:
    • Primary Result (Highlighted): This shows the estimated total value of the main stat, calculated using the average roll value multiplied by the number of rolls the main stat has received.
    • Intermediate Values:
      • Average Substat Value: The estimated total value of ONE specific substat, based on your `rollsPerSubstat` input.
      • Potential Total Substat Value: The sum of the average values of ALL your initial substats. This is a good indicator of an artifact’s overall potential.
      • Max Possible Value: The sum of the maximum possible values of ALL your initial substats, assuming every single roll hit the highest possible increment. This represents the absolute best-case scenario.
    • Formula Explanation: A brief description of how the results were calculated.
  4. Interpret and Decide: Use the results to make informed decisions. An artifact with a high Potential Total Substat Value and a good Main Stat value is worth investing in. The Max Possible Value gives you a target to aim for.
  5. Reset: Use the “Reset” button to clear all inputs and start over with default values.
  6. Copy Results: Click “Copy Results” to copy the main result, intermediate values, and key assumptions to your clipboard for easy sharing or note-taking.

Key Factors That Affect Genshin Artifact Calculator Results

Several factors significantly influence the outcome of the Genshin Artifact Calculator and the interpretation of its results:

  1. Artifact Rarity: This is fundamental. 5-star artifacts have higher minimum and maximum roll values for substats compared to 4-star or 3-star artifacts, leading to much higher potential totals. A 5-star artifact’s rolls are generally 1.5x to 2x better than a 4-star’s.
  2. Substat Distribution (RNG): The calculator relies on estimations of how many rolls each substat received. In reality, artifact upgrades are randomized. An artifact might receive 4 rolls, but they could all go into one substat, or be split unevenly. Our calculator simplifies this, but actual results vary wildly.
  3. Roll Value Variance: Even within the same rarity, substat rolls can land anywhere between the minimum and maximum values. The calculator uses an average, but a specific artifact might have consistently low rolls or high rolls.
  4. Initial Substat Choices: The substats an artifact starts with are critical. An artifact with desirable substats (like CRIT Rate, CRIT DMG, ATK%) has a much higher potential than one with undesirable ones (like DEF% on an ATK-scaling character). The calculator assumes you’ve input the correct initial substats.
  5. Artifact Level: Higher artifact levels mean more potential rolls. A level 20 artifact has had 5 rolls (at levels 4, 8, 12, 16, 20), whereas a level 4 artifact has had only 1 roll. This directly impacts the total value accumulated.
  6. Main Stat Type Influence: While the calculator primarily focuses on substats, the main stat itself is a huge factor in a character’s build. A strong main stat (like CRIT Rate circlet) combined with good substats creates a powerful artifact. The calculator provides the main stat value as a reference.
  7. Calculation Method Approximation: The “Avg. Rolls Per Substat” is an approximation. The actual distribution of rolls is complex and depends on when the artifact was leveled. The calculator’s simplified approach provides a good estimate but isn’t a perfect replica of the game’s internal roll distribution mechanics.

Frequently Asked Questions (FAQ)

  • Q: What is the best Genshin artifact substat?

    A: The “best” substat depends heavily on the character. Generally, CRIT Rate and CRIT DMG are highly valued for damage dealers. ATK%, Elemental DMG Bonuses, and Energy Recharge are also crucial for many builds. Elemental Mastery is key for reaction-based characters.

  • Q: How many substats can an artifact have?

    A: Artifacts can start with 1, 2, 3, or 4 substats. 5-star artifacts always start with 4 substats if they roll 4 substats initially. 4-star artifacts can start with 1-4, and 3-star artifacts can start with 1-3.

  • Q: When do new substats appear on artifacts?

    A: New substats appear at levels 4, 8, 12, and 16. If an artifact has fewer than 4 substats at level 0, a new one is added at each of these upgrade intervals until it reaches 4 substats.

  • Q: What is the average value of a substat roll?

    A: The average value varies by substat type and rarity. For a 5-star CRIT Rate substat, the average roll is around 3.3%. For CRIT DMG, it’s about 6.6%. Using the calculator’s “Average Roll Value” will give you specific figures.

  • Q: How do I determine the ‘Avg. Rolls Per Substat’?

    A: Divide the total number of rolls by the number of initial substats. For example, a level 20 artifact (5 rolls total) with 4 initial substats has averaged 1.25 rolls per substat (5/4). A level 16 artifact (4 rolls total) with 3 initial substats has averaged 1.33 rolls per substat (4/3). Rounding to the nearest whole number or using a decimal is acceptable.

  • Q: Can this calculator predict future artifact drops?

    A: No, this calculator analyzes existing artifacts and their statistical potential. It cannot predict the stats or rolls of artifacts you haven’t found yet.

  • Q: Should I keep an artifact if its ‘Potential Total Substat Value’ is low?

    A: It depends on your needs. If you are early in the game, any decent artifact might be useful. However, for endgame players aiming for perfection, artifacts with low potential totals or undesirable substats are often fodder for stronger pieces.

  • Q: How does the calculator handle flat stats (like ATK Flat)?

    A: The calculator treats flat stats similarly to percentage stats. It uses the defined minimum and maximum roll values for flat stats within their respective rarities to calculate averages and potentials.

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