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

Average Error: 0.1 → 0.1

Time: 5.9s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r173190 = x;
        double r173191 = 3.0;
        double r173192 = 8.0;
        double r173193 = r173191 / r173192;
        double r173194 = y;
        double r173195 = r173193 * r173194;
        double r173196 = r173190 - r173195;
        return r173196;
}

↓

double f(double x, double y) {
        double r173197 = x;
        double r173198 = 3.0;
        double r173199 = 8.0;
        double r173200 = r173198 / r173199;
        double r173201 = y;
        double r173202 = r173200 * r173201;
        double r173203 = r173197 - r173202;
        return r173203;
}

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 2020034 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))