AI & ML Calculators
LLM costs, neural networks, GPU memory, training metrics, classification scores and generative AI.
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LLM
Token CalculatorEstimate how many tokens a piece of text will consume in an LLM prompt.Prompt Token CounterCount the exact number of tokens used by a prompt before sending it to an LLM.Completion Token CounterEstimate the number of tokens an LLM completion or response will generate.Context Window UsageCalculate what percentage of an LLM's context window your prompt and history consume.Prompt Cost CalculatorCalculate the dollar cost of an LLM prompt based on token count and model pricing.Completion Cost CalculatorCalculate the dollar cost of an LLM completion based on output tokens and pricing.Total API Cost CalculatorCombine prompt and completion costs to estimate the total cost of an LLM API call.Multi-model Cost ComparisonCompare API costs across multiple LLM providers and models side by side.Context Overflow CalculatorDetermine whether your prompt and history exceed a model's maximum context window.Token Compression CalculatorEstimate the token savings achieved by compressing or summarizing prompt text.
AI Numerical
Softmax CalculatorConvert a vector of logits into a probability distribution using the softmax function.Sigmoid CalculatorCompute the sigmoid activation function output for a given input value.ReLU CalculatorApply the ReLU activation function to an input value or vector.Leaky ReLU CalculatorCompute the Leaky ReLU activation output with a configurable negative slope.GELU CalculatorCompute the Gaussian Error Linear Unit activation used in transformer models.ELU CalculatorCompute the Exponential Linear Unit activation function for a given input.Tanh CalculatorCompute the hyperbolic tangent activation function output for a given input.Swish CalculatorCompute the Swish (SiLU) activation function output for a given input value.Mish CalculatorCompute the Mish activation function output, a smooth self-regularized non-monotonic function.Softplus CalculatorCompute the Softplus activation function, a smooth approximation of ReLU.
Probability
Cross Entropy CalculatorCalculate the cross-entropy loss between predicted and true probability distributions.Binary Cross Entropy CalculatorCalculate the binary cross-entropy loss for binary classification predictions.Categorical Cross Entropy CalculatorCalculate categorical cross-entropy loss for multi-class classification tasks.KL Divergence CalculatorMeasure the Kullback-Leibler divergence between two probability distributions.Jensen-Shannon Divergence CalculatorCalculate the symmetric Jensen-Shannon divergence between two probability distributions.Perplexity CalculatorCalculate the perplexity of a language model from its cross-entropy loss.Entropy CalculatorCalculate the Shannon entropy of a discrete probability distribution.Information Gain CalculatorCalculate the information gain of a feature split used in decision tree models.Gini Index CalculatorCalculate the Gini impurity index used for evaluating decision tree splits.Log Loss CalculatorCalculate logarithmic loss for probabilistic classification predictions.
Classification Metrics
Accuracy CalculatorCalculate classification accuracy from correct predictions and total samples.Precision CalculatorCalculate precision from true positives and false positives in a classification model.Recall CalculatorCalculate recall (sensitivity) from true positives and false negatives.F1 Score CalculatorCalculate the F1 score, the harmonic mean of precision and recall.F-beta Score CalculatorCalculate the F-beta score with a configurable weight between precision and recall.MCC CalculatorCalculate the Matthews Correlation Coefficient for binary classification quality.ROC AUC CalculatorCalculate the area under the ROC curve to evaluate classifier performance.PR AUC CalculatorCalculate the area under the precision-recall curve for imbalanced classification.Cohen Kappa CalculatorCalculate Cohen's Kappa to measure inter-rater agreement corrected for chance.Balanced Accuracy CalculatorCalculate balanced accuracy to fairly evaluate models on imbalanced datasets.
Confusion Matrix
True Positive CalculatorCalculate the true positive count from a confusion matrix and classification results.False Positive CalculatorCalculate the false positive count from a confusion matrix and classification results.True Negative CalculatorCalculate the true negative count from a confusion matrix and classification results.False Negative CalculatorCalculate the false negative count from a confusion matrix and classification results.Specificity CalculatorCalculate specificity, the true negative rate, from a confusion matrix.Sensitivity CalculatorCalculate sensitivity, the true positive rate, from a confusion matrix.NPV CalculatorCalculate the negative predictive value from a confusion matrix.FPR CalculatorCalculate the false positive rate from a confusion matrix and classification results.FNR CalculatorCalculate the false negative rate from a confusion matrix and classification results.Diagnostic Odds Ratio CalculatorCalculate the diagnostic odds ratio to summarize a classifier's discriminative power.
Regression
MAE CalculatorCalculate mean absolute error between predicted and actual values.MSE CalculatorCalculate mean squared error between predicted and actual values.RMSE CalculatorCalculate root mean squared error between predicted and actual values.RMSLE CalculatorCalculate root mean squared logarithmic error for regression predictions.MAPE CalculatorCalculate mean absolute percentage error for regression forecast accuracy.SMAPE CalculatorCalculate symmetric mean absolute percentage error for forecast accuracy.R² Score CalculatorCalculate the R-squared coefficient of determination for a regression model.Adjusted R² CalculatorCalculate adjusted R-squared, which penalizes R² for added predictor variables.Explained Variance CalculatorCalculate the explained variance score for a regression model's predictions.Huber Loss CalculatorCalculate Huber loss, a robust regression loss combining MSE and MAE behavior.
Deep Learning
Batch Size CalculatorEstimate an optimal training batch size based on dataset size and memory limits.Gradient Accumulation CalculatorCalculate the effective batch size achieved through gradient accumulation steps.Epoch CalculatorCalculate the number of training epochs needed given dataset size and step budget.Steps per Epoch CalculatorCalculate the number of training steps in one epoch from dataset and batch size.Learning Rate Scheduler CalculatorCalculate the learning rate at a given training step for common LR schedules.Warmup Steps CalculatorCalculate the number of learning rate warmup steps for a training run.Weight Decay CalculatorCalculate the effective weight decay applied during regularized training.Dropout Probability CalculatorCalculate the expected number of active neurons given a dropout probability.Gradient Clipping CalculatorCalculate the clipped gradient norm given a maximum gradient clipping threshold.Label Smoothing CalculatorCalculate smoothed label values used to regularize classification training targets.
Neural Networks
Parameter Count CalculatorCalculate the total number of parameters in a neural network architecture.Trainable Parameters CalculatorCalculate the number of trainable parameters in a model with frozen layers.Dense Layer Parameters CalculatorCalculate the number of weights and biases in a fully connected dense layer.CNN Output Shape CalculatorCalculate the output feature map shape of a convolutional layer given kernel and stride.CNN Parameter Count CalculatorCalculate the number of trainable parameters in a convolutional layer.Max Pool Output CalculatorCalculate the output feature map size after a max pooling operation.Average Pool Output CalculatorCalculate the output feature map size after an average pooling operation.ConvTranspose Output CalculatorCalculate the output shape produced by a transposed (deconvolution) layer.RNN Parameters CalculatorCalculate the number of trainable parameters in a recurrent neural network layer.LSTM Parameters CalculatorCalculate the number of trainable parameters in an LSTM layer.GRU Parameters CalculatorCalculate the number of trainable parameters in a GRU layer.Transformer Parameters CalculatorEstimate the total parameter count of a transformer model from its architecture config.Multi-head Attention Parameters CalculatorCalculate the number of parameters in a multi-head self-attention block.Positional Encoding CalculatorCompute sinusoidal positional encoding values for a given position and dimension.Embedding Layer Size CalculatorCalculate the parameter count and memory footprint of an embedding layer.
GPU & Training
GPU Memory CalculatorEstimate the GPU memory required to train or run a given model architecture.VRAM Usage CalculatorEstimate the VRAM consumed by model weights, activations, and optimizer states.Tensor Size CalculatorCalculate the memory footprint of a tensor from its shape and data type.FLOPs CalculatorCalculate the floating point operations required for a model's forward pass.TFLOPs CalculatorCalculate the teraFLOPs throughput required or delivered for a training workload.Training Time CalculatorEstimate total model training time from dataset size, batch size, and hardware speed.Inference Time CalculatorEstimate model inference latency per request based on hardware throughput.Samples/sec CalculatorCalculate training throughput in samples processed per second.Tokens/sec CalculatorCalculate LLM throughput in tokens generated or processed per second.GPU Utilization CalculatorCalculate GPU utilization percentage from actual versus theoretical compute throughput.
LLM Engineering
KV Cache Memory CalculatorCalculate the memory required for the key-value cache during LLM inference.Context Memory CalculatorCalculate the memory footprint required to hold a given LLM context length.Embedding Dimension CalculatorEstimate an appropriate embedding dimension size for a given vocabulary or dataset.Vector Storage CalculatorCalculate the storage size required for a set of vector embeddings.Chunk Size CalculatorCalculate the number of chunks produced when splitting a document for RAG retrieval.Chunk Overlap CalculatorCalculate effective chunk stride and overlap ratio for document splitting in RAG.Retrieval Recall CalculatorCalculate recall@k for a retrieval system used in RAG pipelines.ANN Index Size CalculatorEstimate the memory size of an approximate nearest neighbor search index.RAG Storage CalculatorEstimate total storage requirements for a retrieval-augmented generation pipeline.Embedding Cost CalculatorCalculate the API cost of generating embeddings for a given amount of text.
Generative AI
Stable Diffusion Cost CalculatorEstimate the compute cost of generating images with a Stable Diffusion model.Image Generation Cost CalculatorCalculate the total API cost of generating a batch of AI images.Video Generation Cost CalculatorCalculate the API cost of generating AI video clips based on duration and resolution.Speech-to-Text Cost CalculatorCalculate the API cost of transcribing audio using a speech-to-text model.Text-to-Speech Cost CalculatorCalculate the API cost of generating speech audio from text.OCR Cost CalculatorCalculate the API cost of running optical character recognition on documents or images.Whisper Cost CalculatorCalculate the API cost of transcribing audio using OpenAI's Whisper model.Vision Token Cost CalculatorCalculate the token cost of sending images to a multimodal vision-language model.Multimodal Cost CalculatorCalculate combined API costs for text, image, and audio inputs in a multimodal request.Fine-tuning Cost CalculatorEstimate the total cost of fine-tuning an LLM on a custom training dataset.
Statistics
Mean CalculatorCalculate the arithmetic mean of a dataset used in model feature analysis.Median CalculatorCalculate the median value of a dataset used in model feature analysis.Mode CalculatorCalculate the most frequent value (mode) in a dataset used for feature analysis.Variance CalculatorCalculate the variance of a dataset used to measure feature spread in ML pipelines.Standard Deviation CalculatorCalculate the standard deviation of a dataset used for feature normalization.Covariance CalculatorCalculate the covariance between two features or variables in a dataset.Correlation CalculatorCalculate the Pearson correlation coefficient between two features in a dataset.Z-score CalculatorCalculate the z-score of a data point relative to a dataset's mean and standard deviation.Confidence Interval CalculatorCalculate a confidence interval around a model metric estimate or sample mean.P-value CalculatorCalculate the p-value for a hypothesis test comparing model or experiment results.
Optimization
Adam Optimizer Update CalculatorCalculate the parameter update step produced by the Adam optimizer.SGD Update CalculatorCalculate the parameter update step produced by stochastic gradient descent.RMSProp Update CalculatorCalculate the parameter update step produced by the RMSProp optimizer.Momentum Update CalculatorCalculate the parameter update step produced by gradient descent with momentum.AdamW Update CalculatorCalculate the parameter update step produced by the AdamW optimizer with decoupled weight decay.Cosine Annealing CalculatorCalculate the learning rate at a given step under a cosine annealing schedule.Exponential Decay CalculatorCalculate the learning rate at a given step under an exponential decay schedule.Polynomial Decay CalculatorCalculate the learning rate at a given step under a polynomial decay schedule.One Cycle LR CalculatorCalculate the learning rate at a given step under a one-cycle policy schedule.Cyclic Learning Rate CalculatorCalculate the learning rate at a given step under a cyclic learning rate schedule.
Vector Math
Cosine Similarity CalculatorCalculate the cosine similarity between two vectors used in embedding comparisons.Euclidean Distance CalculatorCalculate the Euclidean distance between two vectors in n-dimensional space.Manhattan Distance CalculatorCalculate the Manhattan (L1) distance between two vectors.Minkowski Distance CalculatorCalculate the generalized Minkowski distance between two vectors with a configurable order.Dot Product CalculatorCalculate the dot product of two vectors used in embeddings and attention scores.Cross Product CalculatorCalculate the cross product of two 3D vectors.Matrix Multiplication CalculatorMultiply two matrices and view the resulting matrix, used in neural network layers.Matrix Inverse CalculatorCalculate the inverse of a square matrix used in linear algebra operations.Matrix Determinant CalculatorCalculate the determinant of a square matrix used in linear algebra operations.Eigenvalue CalculatorCalculate the eigenvalues of a square matrix used in dimensionality reduction.
Probability & Bayesian AI
Bayes Theorem CalculatorCalculate posterior probability from prior, likelihood, and evidence using Bayes' theorem.Naive Bayes Probability CalculatorCalculate class probabilities for a Naive Bayes classifier given feature likelihoods.Posterior Probability CalculatorCalculate the posterior probability given a prior distribution and observed evidence.Likelihood CalculatorCalculate the likelihood of observed data given a set of model parameters.Prior Probability CalculatorCalculate or normalize prior probability values used in Bayesian inference.
Model Evaluation
BLEU Score CalculatorCalculate the BLEU score to evaluate machine translation or text generation quality.ROUGE Score CalculatorCalculate the ROUGE score to evaluate text summarization quality against references.METEOR Score CalculatorCalculate the METEOR score to evaluate translation quality with synonym matching.BERTScore CalculatorCalculate BERTScore, a contextual embedding-based metric for text similarity evaluation.CIDEr Score CalculatorCalculate the CIDEr score used to evaluate image captioning model outputs.SPICE Score CalculatorCalculate the SPICE score for evaluating semantic content in image captions.IoU CalculatorCalculate the Intersection over Union score for object detection bounding boxes.Dice Coefficient CalculatorCalculate the Dice coefficient to evaluate overlap in image segmentation tasks.mAP CalculatorCalculate mean Average Precision for evaluating object detection model performance.NDCG CalculatorCalculate Normalized Discounted Cumulative Gain to evaluate ranking model quality.
AI Business
GPU Cost EstimatorEstimate the total cloud GPU cost for a training or inference workload.AI Training Budget CalculatorEstimate the total budget required to train an AI model from compute and data costs.AI Inference Budget CalculatorEstimate the ongoing budget required to serve AI model inference at scale.AI Deployment Cost CalculatorEstimate the total cost of deploying an AI model to production infrastructure.Cloud GPU Monthly Cost CalculatorCalculate the monthly cost of running cloud GPU instances continuously or on demand.Carbon Emission CalculatorEstimate the carbon emissions produced by training or running an AI model.Energy Consumption CalculatorEstimate the electricity consumption of training or serving an AI model.Cost per 1M Tokens CalculatorCalculate the normalized cost per one million tokens across LLM providers.Cost per User CalculatorCalculate the average AI infrastructure cost incurred per active user.Cost per Query CalculatorCalculate the average cost incurred per query or API call to an AI model.
Miscellaneous AI
Random Seed GeneratorGenerate a random seed value for reproducible machine learning experiments.Dataset Split CalculatorCalculate train, validation, and test set sizes from a dataset split ratio.Stratified Split CalculatorCalculate class-balanced train and test set sizes using stratified sampling.Class Imbalance Ratio CalculatorCalculate the imbalance ratio between majority and minority classes in a dataset.Oversampling Ratio CalculatorCalculate the oversampling ratio needed to balance minority classes in a dataset.Undersampling Ratio CalculatorCalculate the undersampling ratio needed to balance majority classes in a dataset.Sequence Padding CalculatorCalculate the padding length needed to align sequences to a fixed model input length.Sequence Truncation CalculatorCalculate how much of a sequence will be truncated to fit a maximum input length.Tokenizer Comparison CalculatorCompare how different tokenizers split the same text into tokens.Vocabulary Size CalculatorEstimate the vocabulary size needed for a tokenizer given corpus statistics.