Average Error: 0.0 → 0.0
Time: 14.1s
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 r13692188 = x;
        double r13692189 = y;
        double r13692190 = r13692188 * r13692189;
        double r13692191 = 2.0;
        double r13692192 = r13692190 / r13692191;
        double r13692193 = z;
        double r13692194 = 8.0;
        double r13692195 = r13692193 / r13692194;
        double r13692196 = r13692192 - r13692195;
        return r13692196;
}
↓
double f(double x, double y, double z) {
        double r13692197 = x;
        double r13692198 = y;
        double r13692199 = r13692197 * r13692198;
        double r13692200 = 2.0;
        double r13692201 = r13692199 / r13692200;
        double r13692202 = z;
        double r13692203 = 8.0;
        double r13692204 = r13692202 / r13692203;
        double r13692205 = r13692201 - r13692204;
        return r13692205;
}

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 2019165 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  (- (/ (* x y) 2.0) (/ z 8.0)))