Average Error: 0.0 → 0.0
Time: 7.7s
Precision: 64
\[\frac{x + y}{x - y}\]
↓
\[\frac{y + x}{x - y}\]
\frac{x + y}{x - y}
↓
\frac{y + x}{x - y}
double f(double x, double y) {
        double r22188862 = x;
        double r22188863 = y;
        double r22188864 = r22188862 + r22188863;
        double r22188865 = r22188862 - r22188863;
        double r22188866 = r22188864 / r22188865;
        return r22188866;
}
↓
double f(double x, double y) {
        double r22188867 = y;
        double r22188868 = x;
        double r22188869 = r22188867 + r22188868;
        double r22188870 = r22188868 - r22188867;
        double r22188871 = r22188869 / r22188870;
        return r22188871;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

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Target

Original0.0
Target0.0
Herbie0.0
\[\frac{1}{\frac{x}{x + y} - \frac{y}{x + y}}\]

Derivation

  1. Initial program 0.0

    \[\frac{x + y}{x - y}\]

  2. Final simplification0.0

    \[\leadsto \frac{y + x}{x - y}\]

Reproduce

herbie shell --seed 2019162 +o rules:numerics
(FPCore (x y)
  :name "Linear.Projection:perspective from linear-1.19.1.3, A"

  :herbie-target
  (/ 1 (- (/ x (+ x y)) (/ y (+ x y))))

  (/ (+ x y) (- x y)))