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 r255588 = x;
        double r255589 = 3.0;
        double r255590 = 8.0;
        double r255591 = r255589 / r255590;
        double r255592 = y;
        double r255593 = r255591 * r255592;
        double r255594 = r255588 - r255593;
        return r255594;
}

↓

double f(double x, double y) {
        double r255595 = x;
        double r255596 = 3.0;
        double r255597 = 8.0;
        double r255598 = r255596 / r255597;
        double r255599 = y;
        double r255600 = r255598 * r255599;
        double r255601 = r255595 - r255600;
        return r255601;
}

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 2020062 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))