Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, A

Average Error: 0.1 → 0.1

Time: 5.9s

Precision: 64

Math

\[x - \frac{3}{8} \cdot y\]

↓

\[x - \frac{3}{8} \cdot y\]

C

double f(double x, double y) {
        double r243777 = x;
        double r243778 = 3.0;
        double r243779 = 8.0;
        double r243780 = r243778 / r243779;
        double r243781 = y;
        double r243782 = r243780 * r243781;
        double r243783 = r243777 - r243782;
        return r243783;
}

↓

double f(double x, double y) {
        double r243784 = x;
        double r243785 = 3.0;
        double r243786 = 8.0;
        double r243787 = r243785 / r243786;
        double r243788 = y;
        double r243789 = r243787 * r243788;
        double r243790 = r243784 - r243789;
        return r243790;
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.1

   \[x - \frac{3}{8} \cdot y\]

2. Final simplification 0.1

   \[\leadsto x - \frac{3}{8} \cdot y\]

Reproduce

herbie shell --seed 2020064 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))