Initializing Supabase client - Time & Space Complexity

Time Complexity: Initializing Supabase client

O(n)

Understanding Time Complexity

We want to understand how the time it takes to set up a Supabase client changes as we do it more times.

Specifically, how does initializing the client behave when repeated or scaled?

Scenario Under Consideration

Analyze the time complexity of the following operation sequence.

import { createClient } from '@supabase/supabase-js'

const supabaseUrl = 'https://xyzcompany.supabase.co'
const supabaseKey = 'public-anonymous-key'

const supabase = createClient(supabaseUrl, supabaseKey)

// Use supabase client for queries

This code creates a Supabase client instance to connect to the database service.

Identify Repeating Operations

Identify the API calls, resource provisioning, data transfers that repeat.

• Primary operation: Creating a client instance with createClient.
• How many times: Once per initialization; each call creates a new client.

How Execution Grows With Input

Each time you initialize, you do one setup operation that does not depend on data size.

Input Size (n)	Approx. API Calls/Operations
10	10 client creations
100	100 client creations
1000	1000 client creations

Pattern observation: The number of operations grows directly with how many times you initialize.

Final Time Complexity

Time Complexity: O(n)

This means if you initialize the client more times, the total time grows proportionally.

Common Mistake

[X] Wrong: "Initializing the client once means all future uses are free and instant."

[OK] Correct: Each new client initialization repeats the setup work, so it costs time each time.

Interview Connect

Understanding how setup steps scale helps you design efficient cloud apps and explain your reasoning clearly.

Self-Check

"What if we reused a single Supabase client instance instead of creating a new one each time? How would the time complexity change?"