Average Error: 0.1 → 0.1
Time: 754.0ms
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 r183763 = x;
        double r183764 = y;
        double r183765 = r183763 * r183764;
        double r183766 = 2.0;
        double r183767 = r183765 / r183766;
        double r183768 = z;
        double r183769 = 8.0;
        double r183770 = r183768 / r183769;
        double r183771 = r183767 - r183770;
        return r183771;
}
↓
double f(double x, double y, double z) {
        double r183772 = x;
        double r183773 = y;
        double r183774 = r183772 * r183773;
        double r183775 = 2.0;
        double r183776 = r183774 / r183775;
        double r183777 = z;
        double r183778 = 8.0;
        double r183779 = r183777 / r183778;
        double r183780 = r183776 - r183779;
        return r183780;
}

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 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2020033 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))