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

Average Error: 0.1 → 0.1

Time: 1.1s

Precision: 64

Math

\[x - \frac{3.0}{8.0} \cdot y\]

↓

\[x - \frac{3.0}{8.0} \cdot y\]

C

double f(double x, double y) {
        double r9136255 = x;
        double r9136256 = 3.0;
        double r9136257 = 8.0;
        double r9136258 = r9136256 / r9136257;
        double r9136259 = y;
        double r9136260 = r9136258 * r9136259;
        double r9136261 = r9136255 - r9136260;
        return r9136261;
}

↓

double f(double x, double y) {
        double r9136262 = x;
        double r9136263 = 3.0;
        double r9136264 = 8.0;
        double r9136265 = r9136263 / r9136264;
        double r9136266 = y;
        double r9136267 = r9136265 * r9136266;
        double r9136268 = r9136262 - r9136267;
        return r9136268;
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.1

   \[x - \frac{3.0}{8.0} \cdot y\]

2. Final simplification 0.1

   \[\leadsto x - \frac{3.0}{8.0} \cdot y\]

Reproduce

herbie shell --seed 2019162 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  (- x (* (/ 3.0 8.0) y)))