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

Average Error: 0.1 → 0.1

Time: 5.7s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r241318 = x;
        double r241319 = 3.0;
        double r241320 = 8.0;
        double r241321 = r241319 / r241320;
        double r241322 = y;
        double r241323 = r241321 * r241322;
        double r241324 = r241318 - r241323;
        return r241324;
}

↓

double f(double x, double y) {
        double r241325 = x;
        double r241326 = 3.0;
        double r241327 = 8.0;
        double r241328 = r241326 / r241327;
        double r241329 = y;
        double r241330 = r241328 * r241329;
        double r241331 = r241325 - r241330;
        return r241331;
}

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 2019353 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))