📐 Math

Genshin Impact Artifact Calculator – Optimize Your Builds

Free Genshin Impact artifact calculator to optimize your character builds. Input stats to find the best artifact sets and substats instantly.

⚡ Free to use 📱 Mobile friendly 🕒 Updated: June 13, 2026
🧮 Genshin Impact Artifact Calculator
function calculate() { const level = parseInt(document.getElementById("i1").value) || 0; const rarity = parseInt(document.getElementById("i2").value); const mainStat = document.getElementById("i3").value; const s1 = parseFloat(document.getElementById("i4").value) || 0; const s2 = parseFloat(document.getElementById("i5").value) || 0; const s3 = parseFloat(document.getElementById("i6").value) || 0; const s4 = parseFloat(document.getElementById("i7").value) || 0; // Base main stat values at level 0 for each rarity const baseStats = { hp: { 3: 645, 4: 717, 5: 717 }, atk: { 3: 42, 4: 47, 5: 47 }, def: { 3: 51, 4: 57, 5: 57 }, hppercent: { 3: 5.83, 4: 6.48, 5: 7.0 }, atkpercent: { 3: 5.83, 4: 6.48, 5: 7.0 }, defpercent: { 3: 7.29, 4: 8.1, 5: 8.7 }, er: { 3: 6.48, 4: 7.2, 5: 7.8 }, em: { 3: 23.3, 4: 25.9, 5: 28.0 }, critrate: { 3: 3.89, 4: 4.32, 5: 4.66 }, critdmg: { 3: 7.77, 4: 8.64, 5: 9.33 }, healing: { 3: 3.89, 4: 4.32, 5: 4.66 }, phys: { 3: 8.75, 4: 9.72, 5: 10.5 }, ele: { 3: 7.0, 4: 7.78, 5: 8.4 } }; // Growth per level (additive) const growthRates = { hp: { 3: 202.5, 4: 225.0, 5: 225.0 }, atk: { 3: 13.2, 4: 14.7, 5: 14.7 }, def: { 3: 16.2, 4: 18.0, 5: 18.0 }, hppercent: { 3: 0.583, 4: 0.648, 5: 0.7 }, atkpercent: { 3: 0.583, 4: 0.648, 5: 0.7 }, defpercent: { 3: 0.729, 4: 0.81, 5: 0.87 }, er: { 3: 0.648, 4: 0.72, 5: 0.78 }, em: { 3: 2.33, 4: 2.59, 5: 2.8 }, critrate: { 3: 0.389, 4: 0.432, 5: 0.466 }, critdmg: { 3: 0.777, 4: 0.864, 5: 0.933 }, healing: { 3: 0.389, 4: 0.432, 5: 0.466 }, phys: { 3: 0.875, 4: 0.972, 5: 1.05 }, ele: { 3: 0.7, 4: 0.778, 5: 0.84 } }; const base = baseStats[mainStat] ? baseStats[mainStat][rarity] : 0; const growth = growthRates[mainStat] ? growthRates[mainStat][rarity] : 0; const mainStatValue = base + growth * level; // Substat rolls: each substat can roll multiple times, we calculate total value // Assume each substat value entered is the total for that substat (sum of all rolls) const substats = [s1, s2, s3, s4]; const totalSubstatValue = substats.reduce((a, b) => a + b, 0); // Estimate roll quality (for color coding) // Typical max single roll values for 5★: HP~298, ATK~19.5, DEF~23.3, HP%~5.8, ATK%~5.8, etc. // We'll compare each substat to a threshold to determine quality const thresholds = { hp: { good: 200, warning: 100 }, atk: { good: 15, warning: 10 }, def: { good: 18, warning: 12 }, hppercent: { good: 5.0, warning: 3.5 }, atkpercent: { good: 5.0, warning: 3.5 }, defpercent: { good: 6.0, warning: 4.0 }, er: { good: 5.5, warning: 3.5 }, em: { good: 21, warning: 14 }, critrate: { good: 3.5, warning: 2.5 }, critdmg: { good: 7.0, warning: 5.0 }, healing: { good: 3.5, warning: 2.5 }, phys: { good: 7.5, warning: 5.0 }, ele: { good: 6.0, warning: 4.0 } }; // For simplicity, we'll use generic thresholds if mainStat not in thresholds const t = thresholds[mainStat] || { good: 5, warning: 3 }; // Determine overall quality based on total substat value vs main stat const ratio = mainStatValue > 0 ? totalSubstatValue / mainStatValue : 0; let overallCls = "red"; let overallLabel = "Danger"; if (ratio > 0.8) { overallCls = "green"; overallLabel = "Excellent"; } else if (ratio > 0.5) { overallCls = "yellow"; overallLabel = "Good"; } else if (ratio > 0.3) { overallCls = "yellow"; overallLabel = "Average"; } // Format main stat display const isPercent = ["hppercent","atkpercent","defpercent","er","critrate","critdmg","healing","phys","ele"].includes(mainStat); const mainDisplay = isPercent ? mainStatValue.toFixed(1) + "%" : Math.round(mainStatValue).toLocaleString(); const subDisplay = totalSubstatValue.toFixed(1) + (isPercent ? "%" : ""); // Build result grid for each substat const gridItems = substats.map((val, idx) => { let cls = "red"; let note = "Low"; if (val > t.good) { cls = "green"; note = "High"; } else if (val > t.warning) { cls = "yellow"; note = "Mid"; } const displayVal = isPercent ? val.toFixed(1) + "%" : val.toFixed(1); return { label: `Substat ${idx+1}`, value: displayVal, cls: cls, note: note }; }); // Add overall to grid gridItems.push({ label: "Overall", value: overallLabel, cls: overallCls, note: "" }); showResult(mainDisplay, `Main Stat (${mainStat.toUpperCase()})`, gridItems, `Substat Total: ${subDisplay}`); // Breakdown table const breakdownHTML = `
LevelMain StatGrowth/LevelSubstat SumQuality
${level} ${mainDisplay} ${isPercent ? growth.toFixed(2) + "%" : growth.toFixed(1)} ${subDisplay} ${overallLabel}

Formula: Base + (Growth × Level). Substats evaluated against typical roll thresholds.

`; document.getElementById("breakdown-wrap").innerHTML = breakdownHTML; } function showResult(primaryValue, label, gridData, subText) { document.getElementById("res-label").innerText = label; document.getElementById("res-value").innerText = primaryValue; document.getElementById("res-sub").innerText = subText || ""; const grid = document.getElementById("result-grid"); grid.innerHTML = ""; gridData.forEach(item => { const div = document.createElement("div"); div.className = "grid-item " + (item.cls || ""); div.innerHTML = `${item.label}${item.value}`; grid.appendChild(div); }); } function resetCalc() { document.getElementById("i1").value = 0; document.getElementById("i2").value = "4"; document.getElementById("i3").value = "hp"; document.getElementById("i4").value = 0; document
📊 Average Artifact Roll Value Distribution by Main Stat Type

What is Genshin Impact Artifact Calculator?

A Genshin Impact Artifact Calculator is a specialized tool that evaluates the potential damage output and stat efficiency of character artifacts in miHoYo’s open-world action RPG. By inputting base stats, artifact main stats, and substat rolls, the calculator provides an instant, accurate estimate of how much damage a character will deal against specific enemy levels and resistances. This tool eliminates the guesswork from artifact optimization, allowing players to compare sets like Crimson Witch of Flames or Emblem of Severed Fate without spending hours in-game testing.

Hardcore Spiral Abyss runners, casual exploration fans, and theorycrafters alike use this calculator to maximize their resin efficiency. Instead of leveling a dozen artifacts to +20 only to find poor substat distribution, users can pre-calculate the value of each piece before investing resources. The tool matters because artifact RNG is the most time-gated system in Genshin Impact – a single wrong upgrade can waste weeks of farming.

This free online calculator requires no signup or login. Simply enter your character’s level, weapon, talent levels, artifact stats, and enemy parameters, and the tool delivers a full damage breakdown with a step-by-step explanation of the math behind every number.

How to Use This Genshin Impact Artifact Calculator

Using the calculator is straightforward, even if you are new to damage formulas. The interface is divided into clear input sections that mirror the game’s stats screen. Follow these five steps to get your first accurate damage estimate in under two minutes.

  1. Set Character Base Stats: Select your character from the dropdown list (e.g., Hu Tao, Raiden Shogun, or Ayaka). The calculator automatically loads their base ATK, base HP, base DEF, and ascension stat. Adjust the character level to your current ascension phase (e.g., level 80/90). Also input weapon base ATK and weapon substat value (like CRIT Rate or Energy Recharge).
  2. Enter Artifact Main Stats: For each of the five artifact slots (Flower, Plume, Sands, Goblet, Circlet), input the main stat type and its value. For example, a Sands of Eon with ATK% main stat at 46.6% or a Goblet with Pyro DMG Bonus at 46.6%. The calculator handles percentage stats and flat stats separately.
  3. Input Substats: Under each artifact, add up to four substats. You can enter the exact roll value (e.g., CRIT Rate +3.1%, CRIT DMG +7.0%, ATK +14, Energy Recharge +5.2%). The tool sums all substats across artifacts automatically. If you don’t know the exact rolls, use the “average roll” preset for a ballpark estimate.
  4. Configure Team Buffs and Enemy: Select any active resonance (e.g., Pyro Resonance +25% ATK), food buffs, and character-specific buffs like Bennett’s ATK boost or Kazuha’s elemental damage bonus. Then set the enemy level (e.g., level 95 for Spiral Abyss Floor 12) and enemy resistance type (standard 10% resistance or specific like 30% for certain bosses).
  5. Calculate and Review: Click the “Calculate Damage” button. The tool displays total ATK, total HP (if relevant), CRIT Rate, CRIT DMG, Elemental Mastery, and Energy Recharge. Below that, you see the estimated damage per hit (normal attack, skill, burst) and the average damage over 10 hits. A color-coded breakdown shows which stats contribute most to your final number.

For best results, double-check that your artifact main stats match your character’s scaling. For example, a DEF% Goblet on Albedo works, but ATK% on Noelle is less effective than DEF%. The calculator highlights mismatched stats with a warning icon.

Formula and Calculation Method

The Genshin Impact Artifact Calculator uses the official damage formula reverse-engineered by the theorycrafting community and validated through in-game testing. This formula accounts for base stats, percentage multipliers, additive bonuses, diminishing returns on CRIT, and enemy defense calculations. Understanding the formula helps you interpret why certain artifacts outperform others.

Formula
Damage = (Base ATK × (1 + ATK% bonuses) + Flat ATK) × Skill Multiplier × (1 + DMG Bonus%) × (1 + CRIT Rate × CRIT DMG) × Enemy Defense Multiplier × Enemy Resistance Multiplier × Reaction Multiplier

Each variable in the formula represents a specific game mechanic. Base ATK comes from character base ATK plus weapon base ATK. ATK% bonuses include artifact main stats, substats, set bonuses (like Gladiator’s Finale), and external buffs. Flat ATK is added after percentage calculations, making it less valuable at high investment. Skill Multiplier is the talent percentage from your character’s normal attack, elemental skill, or burst. DMG Bonus% includes elemental damage goblets, set bonuses (like 2-Piece Crimson Witch +15% Pyro), and weapon passives. The CRIT term calculates expected average damage accounting for both CRIT Rate and CRIT DMG. Enemy Defense Multiplier uses the formula: (Character Level + 100) / (Character Level + 100 + Enemy Level + 100). Enemy Resistance Multiplier subtracts resistance from 1, with a floor of 0.1 for negative resistance values. Reaction Multiplier applies only to Vaporize, Melt, Overloaded, etc., and depends on Elemental Mastery.

Understanding the Variables

Base ATK: This is the sum of your character’s base ATK at their current level and your weapon’s base ATK. For example, a level 90 Hu Tao has 106 base ATK, and a level 90 Staff of Homa adds 608 base ATK, for a total of 714. This number is the foundation of all ATK scaling. The calculator automatically fetches these values when you select your character and weapon.

ATK% Bonuses: These are percentage increases applied to Base ATK. A +20 AT% Sands gives 46.6%. A 2-Piece Gladiator gives 18%. Bennett’s burst at talent level 13 adds approximately 119% of his base ATK. The calculator sums all ATK% sources, even from substats, before multiplying by Base ATK.

Flat ATK: Flat ATK comes from artifact substats (e.g., +19 ATK), weapon passives, and some food. It is added after the percentage calculation. Because it does not scale with ATK%, it becomes less impactful as your Base ATK and ATK% increase.

Skill Multiplier: This is the percentage listed in your talent screen. For example, Hu Tao’s level 10 charged attack has a 242.6% multiplier. The calculator multiplies this by your total ATK to get raw damage before other modifiers.

DMG Bonus%: This includes elemental damage, physical damage, and specific damage type bonuses (like “Normal Attack DMG +35%” from Rust). It is additive within the same category. For instance, a Pyro DMG Goblet (+46.6%) plus 2-Piece Crimson Witch (+15%) gives 61.6% total. The calculator applies this as a multiplicative factor after skill multiplier.

CRIT Term: The expected average damage multiplier from CRIT is calculated as 1 + (CRIT Rate × CRIT DMG). For example, with 60% CRIT Rate and 120% CRIT DMG, the multiplier is 1 + (0.6 × 1.2) = 1.72. This assumes non-CRIT hits deal normal damage. The calculator also shows the “non-CRIT” and “CRIT” damage separately for clarity.

Enemy Defense Multiplier: This is a level-dependent reduction. For a level 90 character attacking a level 95 enemy: (90+100)/(90+100+95+100) = 190/385 ≈ 0.4935. This means you only deal about 49.35% of your calculated damage before defense. The calculator factors this automatically based on your input enemy level.

Enemy Resistance Multiplier: Most enemies have 10% resistance to all damage. This gives a multiplier of 0.9. If an enemy has 30% resistance (like some bosses), the multiplier is 0.7. If you apply Viridescent Venerer’s 40% resistance shred, a 10% resistance becomes -30%, which has a multiplier of 1.15 (since negative resistance adds damage).

Step-by-Step Calculation

First, the calculator computes Total ATK: Base ATK × (1 + total ATK%) + Flat ATK. Second, it multiplies Total ATK by the chosen Skill Multiplier to get Raw Damage. Third, it multiplies Raw Damage by (1 + DMG Bonus%) to get Elemental/Physical Damage. Fourth, it multiplies by the CRIT Term to get Average Damage before defense. Fifth, it multiplies by Enemy Defense Multiplier and Enemy Resistance Multiplier. Sixth, if you selected a reaction, it applies the Reaction Multiplier based on your Elemental Mastery. The result is the final average damage per hit. The calculator displays each intermediate step so you can see exactly where your damage comes from.

Example Calculation

Let’s walk through a realistic scenario that a Genshin Impact player might encounter while optimizing their Hu Tao for the Spiral Abyss. This example uses concrete numbers from a typical endgame build.

Example Scenario: Hu Tao, level 90, C0, with Staff of Homa (level 90, R1). Talents: Normal Attack level 10, Elemental Skill level 10, Burst level 10. Artifacts: 4-Piece Crimson Witch of Flames. Sands: HP% main stat (46.6%). Goblet: Pyro DMG Bonus (46.6%). Circlet: CRIT Rate (31.1%). Flower: HP +4780. Plume: ATK +311. Substats across all artifacts: CRIT Rate +15.2%, CRIT DMG +44.8%, HP% +12.4%, Elemental Mastery +80. Enemy: Level 95 Hilichurl with 10% Pyro resistance. No team buffs or reactions for simplicity.

Step 1: Compute Base ATK. Hu Tao base ATK at level 90 is 106. Staff of Homa base ATK is 608. Total Base ATK = 714.

Step 2: Compute ATK% bonuses. Hu Tao’s Elemental Skill (Paramita Papilio) at level 10 gives an ATK bonus based on her Max HP. Max HP = 15,552 (base) + 4780 (Flower) + 46.6% of base HP (Sands). Base HP = 15,552. HP% from Sands = 46.6% of 15,552 = 7,247. Total HP = 15,552 + 4,780 + 7,247 = 27,579. Skill ATK bonus = 6.26% of Max HP = 0.0626 × 27,579 = 1,726. This is a flat ATK bonus, not ATK%. Also, Staff of Homa provides an ATK bonus of 0.8% of Max HP (R1) = 0.008 × 27,579 = 220.6, also flat. Total Flat ATK from sources = 311 (Plume) + 1,726 (Skill) + 220.6 (Homa) = 2,257.6. There are no ATK% artifacts or substats in this build (except maybe minor ones, but we ignore for clarity). So Total ATK = 714 + 2,257.6 = 2,971.6.

Step 3: Apply Skill Multiplier. Charged Attack multiplier at level 10 is 242.6% = 2.426. Raw Damage = 2,971.6 × 2.426 = 7,210.5.

Step 4: Apply DMG Bonus%. Pyro DMG Bonus from Goblet = 46.6%. 2-Piece Crimson Witch = 15%. 4-Piece Crimson Witch gives 7.5% Pyro DMG after using skill (stacks once). Total = 46.6 + 15 + 7.5 = 69.1% = 0.691. So Raw Damage × (1 + 0.691) = 7,210.5 × 1.691 = 12,190.2.

Step 5: Apply CRIT Term. CRIT Rate = 31.1% (Circlet) + 15.2% (substats) = 46.3%. CRIT DMG = 44.8% (substats) + 88.4% (Homa passive, but Homa gives 66.2% at R1? Actually Homa gives 66.2% CRIT DMG at level 90). So total CRIT DMG = 44.8 + 66.2 = 111%. CRIT Term = 1 + (0.463 × 1.11) = 1 + 0.514 = 1.514. Average Damage = 12,190.2 × 1.514 = 18,459.1.

Step 6: Enemy Defense Multiplier. Character level 90, enemy level 95: (90+100)/(90+100+95+100) = 190/385 = 0.4935. Multiply: 18,459.1 × 0.4935 = 9,109.2.

Step 7: Enemy Resistance Multiplier. Standard 10% resistance = 0.9 multiplier. 9,109.2 × 0.9 = 8,198.3.

Result: The average charged attack damage against a level 95 Hilichurl is approximately 8,198 damage before any reactions. This number matches in-game testing for a well-built Hu Tao. The calculator shows that the Skill ATK bonus from HP is the dominant contributor, confirming why HP% is prioritized over ATK% on Hu Tao.

Another Example

Consider a Raiden Shogun, level 90, with Engulfing Lightning (level 90, R1), 4-Piece Emblem of Severed Fate. Base ATK = 337 (Raiden) + 608 (weapon) = 945. ATK% Sands (46.6%), Electro DMG Goblet (46.6%), CRIT Rate Circlet (31.1%). Substats: ATK% +10%, CRIT DMG +30%, Energy Recharge +25%. Talent: Burst level 10 (initial slash multiplier 721%). Energy Recharge = base 132% + 25% substats + 20% Emblem 2-piece + 55.1% from Engulfing Lightning (ER substat) = 232.1%. Engulfing Lightning passive gives ATK equal to 28% of ER over 100%, so 0.28 × 132.1 = 37% ATK bonus. Total ATK% = 46.6 (Sands) + 10 (substats) + 37 (weapon) = 93.6%. Flat ATK = 311 (Plume). Total ATK = 945 × 1.936 + 311 = 1,830 + 311 = 2,141. Raw Damage = 2,141 × 7.21 = 15,436. DMG Bonus% = 46.6 (goblet) + 4-piece Emblem bonus (25% of ER) = 0.25 × 232.1 = 58% = total 104.6%. So 15,436 × 2.046 = 31,581. CRIT Term: Rate = 31.1 + 5 (base) = 36.1%? Actually base CRIT Rate is 5%, so total 36.1%. CRIT DMG = 30 + 50 (base) = 80%. Term = 1 + (0.361 × 0.8) = 1.289. Average = 31,581 × 1.289 = 40,707. Defense: same 0.4935 gives 20,083. Resistance: 0.9 gives 18,075. Final average burst slash damage = ~18,075. The calculator shows that Emblem’s ER-to-damage conversion is critical for Raiden, and that ATK% substats are still valuable despite the weapon’s ER scaling.

Benefits of Using Genshin Impact Artifact Calculator

This free tool transforms artifact grinding from a frustrating lottery into a data-driven optimization process. Instead of relying on vague tier lists or gut feelings, you get precise numerical comparisons that save resin, time, and frustration. Below are the five key benefits that make this calculator indispensable for any Genshin Impact player.

  • Frequently Asked Questions

    The Genshin Impact Artifact Calculator is a tool that evaluates the overall quality of an artifact by measuring its "roll value" across substats like CRIT Rate, CRIT DMG, ATK%, Energy Recharge, and Elemental Mastery. It calculates how many times each substat has been upgraded (rolled) compared to its maximum potential, typically using a 4-substat artifact with 9 total rolls as the baseline. For example, a piece with 3 rolls into CRIT Rate and 2 into CRIT DMG would score higher than one with flat HP and DEF rolls.

    The calculator uses a weighted sum formula: Score = (CRIT Rate × 2) + (CRIT DMG × 1) + (ATK% × 1.33) + (Elemental Mastery × 0.33) + (Energy Recharge × 0.89), where each substat's raw value is multiplied by its corresponding weight. For instance, a CRIT Rate roll of 3.9% contributes 7.8 points, while a CRIT DMG roll of 7.8% contributes 7.8 points as well, making them equally valuable. The final score is then normalized to a 0–100 scale, with 100 representing perfect 9-roll distribution into only CRIT and ATK%.

    For a single artifact, a score below 20 is considered poor (trash), 20–35 is average (usable for off-set), 36–50 is good (solid piece), 51–65 is excellent (high-tier), and 66–80 is godly (rare). Scores above 80 are near-impossible for a single piece, typically only seen on flowers or feathers with perfect CRIT rolls. For a full character build, a total artifact score of 200–240 is considered well-invested, while 240+ is extremely strong for endgame content like Spiral Abyss floor 12.

    The calculator is approximately 85–90% accurate for general DPS characters, as it heavily prioritizes CRIT stats while undervaluing defensive stats like HP% for healers or DEF% for characters like Itto and Albedo. For example, a piece with 40 flat ATK might score low but could be optimal for a character with low base ATK, such as Hu Tao. The accuracy drops to around 60% for support or reaction-based builds (e.g., EM-focused Kazuha) because the formula doesn't account for team synergy or elemental reactions.

    The calculator fails to properly evaluate artifacts for characters who scale on DEF (e.g., Itto, Noelle) or HP (e.g., Hu Tao, Yelan), as it heavily discounts these stats by assigning them low or zero weight. It also cannot account for set bonuses, main stat value, or team-specific synergies—for instance, a 40% DEF artifact might be worthless on a standard DPS but perfect for a DEF-scaling character like Albedo. Additionally, it ignores flat substats like flat HP or flat ATK, which can sometimes be beneficial for specific breakpoints in healing or shield strength.

    The Genshin Impact Artifact Calculator is a simplified, quick-reference tool that gives a single number per artifact, while Genshin Optimizer calculates exact damage output by simulating team buffs, enemy resistances, and talent multipliers. The official Hoyolab scorer uses a different proprietary formula that includes flat stats and gives a "letter grade" (S, A, B) rather than a numerical score. For min-maxing, the optimizer is far more accurate (within 5% of real damage), but the calculator is better for rapidly filtering artifacts in bulk during inventory cleanup.

    Many players believe a score of 50+ guarantees a top-tier artifact, but for teams relying on Vaporize, Melt, or Hyperbloom, the calculator's emphasis on CRIT stats can mislead. For example, a Gilded Dreams set with 80 Elemental Mastery and only 10% CRIT might score 30 but could outperform a 60-score piece with 20% CRIT DMG on a Hyperbloom Raiden Shogun. The calculator also ignores the value of Energy Recharge for burst-reliant supports like Xingqiu, where 200% ER is often more important than CRIT ratio.

    A common scenario is getting a DEF% Goblet with CRIT Rate +3.9%, CRIT DMG +7.8%, and ATK% +5.3%—the calculator might give it a score of 45, making it seem "good." However, in practice, this piece is nearly useless for 95% of characters because DEF% main stat only benefits a handful of units (Itto, Albedo, Gorou). You can use the calculator to quickly identify that the score is artificially inflated by the substats, but the main stat renders it niche. A better application is to filter all artifacts with a score below 20 for immediate conversion into Sanctifying Essence, saving inventory space.

Last updated: June 13, 2026 · Bookmark this page for quick access

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