Hsr Warp Calculator

Estimate your chances of success in Honkai: Star Rail

Milestone	Total Pulls Used	Cumulative Success Chance

The HSR Warp Calculator is an essential tool for players of Honkai: Star Rail who want to strategically manage their resources. In a game where 5-star characters and Light Cones can define your progression, knowing exactly how far your Stellar Jades will take you is the difference between a successful pull session and disappointment.

Our HSR Warp Calculator uses the official gacha mechanics, including the “pity” system and “soft pity” rates, to provide an accurate probability of securing your desired featured item. Whether you are saving for a limited banner like Seele, Acheron, or Firefly, this tool helps you visualize the math behind the luck.

What is an HSR Warp Calculator?

An HSR Warp Calculator is a specialized mathematical utility designed to calculate the likelihood of obtaining specific items from the Honkai: Star Rail gacha system. It takes into account your current inventory of Stellar Jades, Star Rail Special Passes, and your current pity count to output a success percentage.

Many players mistake the 0.6% base rate as the only factor. However, the HSR Warp Calculator accounts for the “hidden” mechanics like the 50/50 rule and the significant rate increase that occurs during soft pity. This makes it far more accurate than simple mental math.

HSR Warp Calculator Formula and Mathematical Explanation

The calculation is not a simple linear equation. It involves a recursive probability model (often simulated using a Markov Chain approach) that tracks two primary states: “Guaranteed” and “Not Guaranteed.”

The Core Variables

Variable	Meaning	Unit	Typical Range
Base Rate	Initial 5-star probability	Percentage	0.6% (Char) / 0.8% (LC)
Soft Pity	Pull where rates start climbing	Pull Count	74 (Char) / 65 (LC)
Hard Pity	Guaranteed 5-star drop	Pull Count	90 (Char) / 80 (LC)
50/50 Chance	Chance for featured item	Percentage	50% (Char) / 75% (LC)

Step-by-Step Probability Derivation

1. Available Pulls: First, the HSR Warp Calculator converts Stellar Jades to pulls (Jades / 160) and adds existing Special Passes.
2. Individual Pull Probability: For each pull `n`, the chance of a 5-star `P(n)` is:
   • If `n < Soft Pity`: `P(n) = Base Rate`
   • If `n >= Soft Pity`: `P(n) = Base Rate + (n – Soft Pity + 1) * Rate Growth`
3. Cumulative Featured Chance: The calculator then factors in the 50/50 rule. If you are not guaranteed, each 5-star drop has only a 50% chance of being the target. If you fail, the next 5-star is 100% the target.

Practical Examples (Real-World Use Cases)

Example 1: The “Dolphin” Saver

Inputs: 16,000 Stellar Jades, 10 Special Passes, 20 Pity, Not Guaranteed.

Logic: 16,000 Jades equals 100 pulls. Combined with passes, the player has 110 pulls. Starting at 20 pity, they will hit hard pity at 70 additional pulls. Since they have 110 pulls, they are guaranteed at least one 5-star. However, because they are on a 50/50, the HSR Warp Calculator shows a success probability of approximately 78%.

Example 2: The Lucky F2P

Inputs: 3,200 Stellar Jades, 0 Passes, 70 Pity, Guaranteed.

Logic: The player has 20 pulls. Starting at 70 pity, they enter soft pity immediately. Since they are “Guaranteed,” the HSR Warp Calculator indicates a nearly 98% chance of success within these 20 pulls, as soft pity drastically increases the 5-star rate per pull.

How to Use This HSR Warp Calculator

1. Enter Stellar Jades: Type in your current Jade count. The tool will automatically convert these to pulls.
2. Add Passes: Enter any Star Rail Special Passes you have in your inventory.
3. Input Pity: Check your in-game “Details” or “History” page to see how many pulls have passed since your last 5-star.
4. Select Banner: Choose between the Character Warp or the Light Cone Warp. This adjusts the pity thresholds.
5. Set Guarantee Status: If your last 5-star on that specific banner type was a standard character (e.g., Welt, Himeko), set this to “Yes.”
6. Analyze Results: View the real-time probability percentage and the distribution chart below.

Key Factors That Affect HSR Warp Calculator Results

• Soft Pity Threshold: This is the most critical factor. In HSR, character banners see a massive jump in rates at pull 74. If your pulls don’t reach this threshold, your chances stay low.
• 50/50 Mechanic: Losing a 50/50 doubles the number of pulls potentially required for a target, shifting the math from a 90-pull maximum to a 180-pull maximum.
• Light Cone Specifics: Light Cone banners are more “forgiving” with a 75/25 rate and a lower hard pity of 80. The HSR Warp Calculator adjusts for these tighter margins.
• Resource Accumulation: Future jades from Daily Training, Simulated Universe, and Events should be factored in if the banner hasn’t ended yet.
• Banner Type Independence: Pity is tracked separately for Character, Light Cone, and Standard banners. Using the HSR Warp Calculator requires selecting the correct banner type.
• Luck Volatility: While the calculator provides a percentage, individual luck varies. The “expected value” is usually around 75-80 pulls for a 5-star, but the calculator shows the “worst-case” protection.

Frequently Asked Questions (FAQ)

Does pity carry over between banners?

Yes, pity on the Character Event Warp carries over to the next Character Event Warp. It does not carry over between Character and Light Cone banners.

What is the “Soft Pity” for characters?

Soft pity for characters starts at pull 74. The HSR Warp Calculator factors in an approximate 6% increase in 5-star rate for every pull after 73.

How many Stellar Jades is 180 pulls?

180 pulls (the absolute maximum for a guaranteed character) costs 28,800 Stellar Jades.

Is the Light Cone banner safer than the Character banner?

Statistically, yes. It has a 75% chance for the featured item compared to 50%, and a lower hard pity of 80.

Can I get two 5-stars in one 10-pull?

Yes, but the probability is extremely low (roughly 0.17% without pity). The HSR Warp Calculator focus on the first target success.

Does the Standard Warp have soft pity?

Yes, the Standard Warp follows the same 90/74 pity rules as the Character Event Warp, but it does not have a 50/50 mechanic for a featured unit.

Why does my probability look low even at 70 pulls?

Because until you hit 74 pulls, your cumulative chance only grows by 0.6% per pull. The big jumps happen once you enter the soft pity range.

Does this calculator work for E6 calculations?

This version focuses on obtaining the first copy. E6 calculations require much more complex binomial expansion math due to multiple 50/50 wins/losses.