\[{x}^{4} - {y}^{4}\]

↓

\[{x}^{4} - {y}^{4}\]

{x}^{4} - {y}^{4}

↓

{x}^{4} - {y}^{4}

double f(double x, double y) {
        double r31428 = x;
        double r31429 = 4.0;
        double r31430 = pow(r31428, r31429);
        double r31431 = y;
        double r31432 = pow(r31431, r31429);
        double r31433 = r31430 - r31432;
        return r31433;
}

↓

double f(double x, double y) {
        double r31434 = x;
        double r31435 = 4.0;
        double r31436 = pow(r31434, r31435);
        double r31437 = y;
        double r31438 = pow(r31437, r31435);
        double r31439 = r31436 - r31438;
        return r31439;
}

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In
Out

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Derivation

Initial program 0.0
\[{x}^{4} - {y}^{4}\]
Final simplification0.0
\[\leadsto {x}^{4} - {y}^{4}\]

Reproduce

herbie shell --seed 2020045 +o rules:numerics
(FPCore (x y)
  :name "Radioactive exchange between two surfaces"
  :precision binary64
  (- (pow x 4) (pow y 4)))

Falling back on racket egraph because egg-herbie package not installed (more)

Error

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Derivation

Reproduce