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

Average Error: 0.1 → 0.1

Time: 18.1s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r172754 = x;
        double r172755 = 3.0;
        double r172756 = 8.0;
        double r172757 = r172755 / r172756;
        double r172758 = y;
        double r172759 = r172757 * r172758;
        double r172760 = r172754 - r172759;
        return r172760;
}

↓

double f(double x, double y) {
        double r172761 = x;
        double r172762 = 3.0;
        double r172763 = 8.0;
        double r172764 = r172762 / r172763;
        double r172765 = y;
        double r172766 = r172764 * r172765;
        double r172767 = r172761 - r172766;
        return r172767;
}

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 2019323 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))