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

Average Error: 0.1 → 0.1

Time: 18.5s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r9287200 = x;
        double r9287201 = 3.0;
        double r9287202 = 8.0;
        double r9287203 = r9287201 / r9287202;
        double r9287204 = y;
        double r9287205 = r9287203 * r9287204;
        double r9287206 = r9287200 - r9287205;
        return r9287206;
}

↓

double f(double x, double y) {
        double r9287207 = x;
        double r9287208 = 3.0;
        double r9287209 = 8.0;
        double r9287210 = r9287208 / r9287209;
        double r9287211 = y;
        double r9287212 = r9287210 * r9287211;
        double r9287213 = r9287207 - r9287212;
        return r9287213;
}

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 2019179 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  (- x (* (/ 3.0 8.0) y)))