OpenAI text-embedding-3-small vs Cohere Embed v3

Detailed comparison between OpenAI text-embedding-3-small and Cohere Embed v3. See which embedding best meets your accuracy and performance needs.

Model Comparison

OpenAI text-embedding-3-small takes the lead.

Both OpenAI text-embedding-3-small and Cohere Embed v3 are powerful embedding models designed to improve retrieval quality in RAG applications. However, their performance characteristics differ in important ways.

Why OpenAI text-embedding-3-small:

  • OpenAI text-embedding-3-small has 15 higher ELO rating
  • OpenAI text-embedding-3-small delivers better accuracy (nDCG@10: 0.762 vs 0.686)
  • Cohere Embed v3 is 7108ms faster on average

Overview

Key metrics

ELO Rating

Overall ranking quality

OpenAI text-embedding-3-small

1503

Cohere Embed v3

1488

Win Rate

Head-to-head performance

OpenAI text-embedding-3-small

44.6%

Cohere Embed v3

41.0%

Accuracy (nDCG@10)

Ranking quality metric

OpenAI text-embedding-3-small

0.762

Cohere Embed v3

0.686

Average Latency

Response time

OpenAI text-embedding-3-small

29958ms

Cohere Embed v3

22849ms

Visual Performance Analysis

Performance

ELO Rating Comparison

Win/Loss/Tie Breakdown

Accuracy Across Datasets (nDCG@10)

Latency Distribution (ms)

Breakdown

How the models stack up

MetricOpenAI text-embedding-3-smallCohere Embed v3Description
Overall Performance
ELO Rating
1503
1488
Overall ranking quality based on pairwise comparisons
Win Rate
44.6%
41.0%
Percentage of comparisons won against other models
Pricing & Availability
Price per 1M tokens
$0.020
$0.100
Cost per million tokens processed
Release Date
2024-01-25
2024-02-07
Model release date
Accuracy Metrics
Avg nDCG@10
0.762
0.686
Normalized discounted cumulative gain at position 10
Performance Metrics
Avg Latency
29958ms
22849ms
Average response time across all datasets

Dataset Performance

By field

Comprehensive comparison of accuracy metrics (nDCG, Recall) and latency percentiles for each benchmark dataset.

PG

MetricOpenAI text-embedding-3-smallCohere Embed v3Description
Accuracy Metrics
Latency Metrics
Mean
55877ms
35998ms
Average response time
P50
54759ms
35278ms
50th percentile (median)
P90
64259ms
41398ms
90th percentile

business reports

MetricOpenAI text-embedding-3-smallCohere Embed v3Description
Accuracy Metrics
Latency Metrics
Mean
5645ms
4704ms
Average response time
P50
5532ms
4610ms
50th percentile (median)
P90
6492ms
5410ms
90th percentile

DBPedia

MetricOpenAI text-embedding-3-smallCohere Embed v3Description
Accuracy Metrics
nDCG@5
0.605
0.634
Ranking quality at top 5 results
nDCG@10
0.604
0.619
Ranking quality at top 10 results
Recall@5
0.230
0.219
% of relevant docs in top 5
Recall@10
0.365
0.353
% of relevant docs in top 10
Latency Metrics
Mean
35365ms
30356ms
Average response time
P50
34658ms
29749ms
50th percentile (median)
P90
40670ms
34909ms
90th percentile

FiQa

MetricOpenAI text-embedding-3-smallCohere Embed v3Description
Accuracy Metrics
nDCG@5
0.635
0.641
Ranking quality at top 5 results
nDCG@10
0.647
0.650
Ranking quality at top 10 results
Recall@5
0.623
0.639
% of relevant docs in top 5
Recall@10
0.681
0.678
% of relevant docs in top 10
Latency Metrics
Mean
41338ms
33241ms
Average response time
P50
40511ms
32576ms
50th percentile (median)
P90
47539ms
38227ms
90th percentile

SciFact

MetricOpenAI text-embedding-3-smallCohere Embed v3Description
Accuracy Metrics
nDCG@5
0.682
0.729
Ranking quality at top 5 results
nDCG@10
0.707
0.769
Ranking quality at top 10 results
Recall@5
0.778
0.788
% of relevant docs in top 5
Recall@10
0.843
0.900
% of relevant docs in top 10
Latency Metrics
Mean
55544ms
41205ms
Average response time
P50
54433ms
40381ms
50th percentile (median)
P90
63876ms
47386ms
90th percentile

MSMARCO

MetricOpenAI text-embedding-3-smallCohere Embed v3Description
Accuracy Metrics
nDCG@5
0.997
1.000
Ranking quality at top 5 results
nDCG@10
0.990
0.996
Ranking quality at top 10 results
Recall@5
0.122
0.123
% of relevant docs in top 5
Recall@10
0.213
0.218
% of relevant docs in top 10
Latency Metrics
Mean
35961ms
30494ms
Average response time
P50
35242ms
29884ms
50th percentile (median)
P90
41355ms
35068ms
90th percentile

NorQuAD

MetricOpenAI text-embedding-3-smallCohere Embed v3Description
Accuracy Metrics
Latency Metrics
Mean
6467ms
3703ms
Average response time
P50
6338ms
3629ms
50th percentile (median)
P90
7437ms
4258ms
90th percentile

ARCD

MetricOpenAI text-embedding-3-smallCohere Embed v3Description
Accuracy Metrics
nDCG@5
0.855
0.349
Ranking quality at top 5 results
nDCG@10
0.862
0.398
Ranking quality at top 10 results
Recall@5
0.900
0.380
% of relevant docs in top 5
Recall@10
0.920
0.520
% of relevant docs in top 10
Latency Metrics
Mean
3464ms
3093ms
Average response time
P50
3395ms
3031ms
50th percentile (median)
P90
3984ms
3557ms
90th percentile

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