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

Average Error: 0.1 → 0.1

Time: 5.5s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r278183 = x;
        double r278184 = 3.0;
        double r278185 = 8.0;
        double r278186 = r278184 / r278185;
        double r278187 = y;
        double r278188 = r278186 * r278187;
        double r278189 = r278183 - r278188;
        return r278189;
}

↓

double f(double x, double y) {
        double r278190 = x;
        double r278191 = 3.0;
        double r278192 = 8.0;
        double r278193 = r278191 / r278192;
        double r278194 = y;
        double r278195 = r278193 * r278194;
        double r278196 = r278190 - r278195;
        return r278196;
}

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 2020020 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))