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

Average Error: 0.1 → 0.1

Time: 1.8s

Precision: 64

Math

\[x - \left(y \cdot 4\right) \cdot z\]

↓

\[x - \left(y \cdot 4\right) \cdot z\]

C

double f(double x, double y, double z) {
        double r202182 = x;
        double r202183 = y;
        double r202184 = 4.0;
        double r202185 = r202183 * r202184;
        double r202186 = z;
        double r202187 = r202185 * r202186;
        double r202188 = r202182 - r202187;
        return r202188;
}

↓

double f(double x, double y, double z) {
        double r202189 = x;
        double r202190 = y;
        double r202191 = 4.0;
        double r202192 = r202190 * r202191;
        double r202193 = z;
        double r202194 = r202192 * r202193;
        double r202195 = r202189 - r202194;
        return r202195;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Derivation

1. Initial program 0.1

   \[x - \left(y \cdot 4\right) \cdot z\]

2. Final simplification 0.1

   \[\leadsto x - \left(y \cdot 4\right) \cdot z\]

Reproduce

herbie shell --seed 2020065 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (* y 4) z)))