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

Average Error: 0.1 → 0.1

Time: 18.3s

Precision: 64

Math

\[x - \frac{3.0}{8.0} \cdot y\]

↓

\[x - \frac{3.0}{8.0} \cdot y\]

C

double f(double x, double y) {
        double r9947385 = x;
        double r9947386 = 3.0;
        double r9947387 = 8.0;
        double r9947388 = r9947386 / r9947387;
        double r9947389 = y;
        double r9947390 = r9947388 * r9947389;
        double r9947391 = r9947385 - r9947390;
        return r9947391;
}

↓

double f(double x, double y) {
        double r9947392 = x;
        double r9947393 = 3.0;
        double r9947394 = 8.0;
        double r9947395 = r9947393 / r9947394;
        double r9947396 = y;
        double r9947397 = r9947395 * r9947396;
        double r9947398 = r9947392 - r9947397;
        return r9947398;
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.1

   \[x - \frac{3.0}{8.0} \cdot y\]

2. Final simplification 0.1

   \[\leadsto x - \frac{3.0}{8.0} \cdot y\]

Reproduce

herbie shell --seed 2019163 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  (- x (* (/ 3.0 8.0) y)))