Average Error: 0.0 → 0.0
Time: 8.3s
Precision: 64
\[\frac{x \cdot y}{2.0} - \frac{z}{8.0}\]
\[\frac{x \cdot y}{2.0} - \frac{z}{8.0}\]
\frac{x \cdot y}{2.0} - \frac{z}{8.0}
\frac{x \cdot y}{2.0} - \frac{z}{8.0}
double f(double x, double y, double z) {
        double r12506227 = x;
        double r12506228 = y;
        double r12506229 = r12506227 * r12506228;
        double r12506230 = 2.0;
        double r12506231 = r12506229 / r12506230;
        double r12506232 = z;
        double r12506233 = 8.0;
        double r12506234 = r12506232 / r12506233;
        double r12506235 = r12506231 - r12506234;
        return r12506235;
}

double f(double x, double y, double z) {
        double r12506236 = x;
        double r12506237 = y;
        double r12506238 = r12506236 * r12506237;
        double r12506239 = 2.0;
        double r12506240 = r12506238 / r12506239;
        double r12506241 = z;
        double r12506242 = 8.0;
        double r12506243 = r12506241 / r12506242;
        double r12506244 = r12506240 - r12506243;
        return r12506244;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

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Results

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Derivation

  1. Initial program 0.0

    \[\frac{x \cdot y}{2.0} - \frac{z}{8.0}\]
  2. Final simplification0.0

    \[\leadsto \frac{x \cdot y}{2.0} - \frac{z}{8.0}\]

Reproduce

herbie shell --seed 2019168 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  (- (/ (* x y) 2.0) (/ z 8.0)))