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TrailMath
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Free Trail Running Calculators

Science-backed tools for trail runners. Powered by published research.

Incline Calculator

Convert trail gradients between %, degrees, ratio, and rise/run. See the Minetti energy cost and power hike threshold.

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Race Time Predictor

Predict your trail race finish time using ITRA km-effort, ultra fatigue modeling, and terrain multipliers.

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Pace Converter

Convert running pace between min/km, min/mi, km/h, and mph. Includes a splits table with trail distances up to 100km.

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GAP Calculator

Find your grade-adjusted pace for any slope. Two modes: discover your flat effort equivalent, or target a pace at a given gradient.

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Aid Station Planner

Enter your race checkpoints and goal time to get estimated arrival times at every aid station, segment paces, and hiking zones.

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Race Effort Estimator

Calculate your ITRA km-effort and unofficial performance score for any race result. See your indicative UTMB stone tier.

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Nutrition Calculator

Get hourly calorie, carbohydrate, fluid, and sodium targets for your trail race. Adjusts for intensity, heat, and altitude.

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GPX Explorer

Upload a GPX file to see your route on an interactive map, explore the elevation profile, gradient heatmap, and waypoints. Get full race stats including km-effort score.

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Drink Mix Builder

Build a custom sports drink from bulk ingredients. See glucose:fructose ratio, osmolality, and concentration in real time. Load brand presets to understand what commercial products contain.

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Race Conditions Simulator

See exactly how temperature, altitude, and night running inflate your trail race time - broken down factor by factor for UTMB, CCC, Lavaredo, Hardrock, and Western States.

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