Average Error: 0.0 → 0.0
Time: 8.8s
Precision: 64
\[\frac{x \cdot y}{2} - \frac{z}{8}\]
\[\frac{x \cdot y}{2} - \frac{z}{8}\]
\frac{x \cdot y}{2} - \frac{z}{8}
\frac{x \cdot y}{2} - \frac{z}{8}
double f(double x, double y, double z) {
        double r33462270 = x;
        double r33462271 = y;
        double r33462272 = r33462270 * r33462271;
        double r33462273 = 2.0;
        double r33462274 = r33462272 / r33462273;
        double r33462275 = z;
        double r33462276 = 8.0;
        double r33462277 = r33462275 / r33462276;
        double r33462278 = r33462274 - r33462277;
        return r33462278;
}

double f(double x, double y, double z) {
        double r33462279 = x;
        double r33462280 = y;
        double r33462281 = r33462279 * r33462280;
        double r33462282 = 2.0;
        double r33462283 = r33462281 / r33462282;
        double r33462284 = z;
        double r33462285 = 8.0;
        double r33462286 = r33462284 / r33462285;
        double r33462287 = r33462283 - r33462286;
        return r33462287;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

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Results

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Derivation

  1. Initial program 0.0

    \[\frac{x \cdot y}{2} - \frac{z}{8}\]
  2. Final simplification0.0

    \[\leadsto \frac{x \cdot y}{2} - \frac{z}{8}\]

Reproduce

herbie shell --seed 2019173 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  (- (/ (* x y) 2.0) (/ z 8.0)))