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

Average Error: 0.1 → 0.1

Time: 5.4s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r282197 = x;
        double r282198 = 3.0;
        double r282199 = 8.0;
        double r282200 = r282198 / r282199;
        double r282201 = y;
        double r282202 = r282200 * r282201;
        double r282203 = r282197 - r282202;
        return r282203;
}

↓

double f(double x, double y) {
        double r282204 = x;
        double r282205 = 3.0;
        double r282206 = 8.0;
        double r282207 = r282205 / r282206;
        double r282208 = y;
        double r282209 = r282207 * r282208;
        double r282210 = r282204 - r282209;
        return r282210;
}

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 2020057 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))