Average Error: 0.0 → 0.0
Time: 1.7s
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 r125784 = x;
        double r125785 = y;
        double r125786 = r125784 * r125785;
        double r125787 = 2.0;
        double r125788 = r125786 / r125787;
        double r125789 = z;
        double r125790 = 8.0;
        double r125791 = r125789 / r125790;
        double r125792 = r125788 - r125791;
        return r125792;
}
↓
double f(double x, double y, double z) {
        double r125793 = x;
        double r125794 = y;
        double r125795 = r125793 * r125794;
        double r125796 = 2.0;
        double r125797 = r125795 / r125796;
        double r125798 = z;
        double r125799 = 8.0;
        double r125800 = r125798 / r125799;
        double r125801 = r125797 - r125800;
        return r125801;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

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 2019198 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  (- (/ (* x y) 2.0) (/ z 8.0)))