export declare const difficultyOfSum: (x: number, y: number, radix?: number, cache_size?: number) => number;
export declare const difficultyOfDifference: (minuend: number, subtrahend: number, radix?: number, cache_size?: number) => number;
export declare const difficultyOfProduct: (x: number, y: number, radix?: number, cache_size?: number) => number;
export declare const difficultyOfLongDivision: (numerator: number, denominator: number, radix?: number, cache_size?: number) => number;