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

↓

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

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

↓

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

double f(double x, double y) {
        double r15791 = x;
        double r15792 = 4.0;
        double r15793 = pow(r15791, r15792);
        double r15794 = y;
        double r15795 = pow(r15794, r15792);
        double r15796 = r15793 - r15795;
        return r15796;
}

↓

double f(double x, double y) {
        double r15797 = x;
        double r15798 = 4.0;
        double r15799 = pow(r15797, r15798);
        double r15800 = y;
        double r15801 = pow(r15800, r15798);
        double r15802 = r15799 - r15801;
        return r15802;
}

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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 2020047 +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