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

Average Error: 0.1 → 0.1

Time: 5.8s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r290180 = x;
        double r290181 = 3.0;
        double r290182 = 8.0;
        double r290183 = r290181 / r290182;
        double r290184 = y;
        double r290185 = r290183 * r290184;
        double r290186 = r290180 - r290185;
        return r290186;
}

↓

double f(double x, double y) {
        double r290187 = x;
        double r290188 = 3.0;
        double r290189 = 8.0;
        double r290190 = r290188 / r290189;
        double r290191 = y;
        double r290192 = r290190 * r290191;
        double r290193 = r290187 - r290192;
        return r290193;
}

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 2020021 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))