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

Average Error: 0.1 → 0.1

Time: 7.3s

Precision: 64

Math

\[x - \left(y \cdot 4.0\right) \cdot z\]

↓

\[x - \left(4.0 \cdot y\right) \cdot z\]

C

double f(double x, double y, double z) {
        double r7661323 = x;
        double r7661324 = y;
        double r7661325 = 4.0;
        double r7661326 = r7661324 * r7661325;
        double r7661327 = z;
        double r7661328 = r7661326 * r7661327;
        double r7661329 = r7661323 - r7661328;
        return r7661329;
}

↓

double f(double x, double y, double z) {
        double r7661330 = x;
        double r7661331 = 4.0;
        double r7661332 = y;
        double r7661333 = r7661331 * r7661332;
        double r7661334 = z;
        double r7661335 = r7661333 * r7661334;
        double r7661336 = r7661330 - r7661335;
        return r7661336;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Derivation

1. Initial program 0.1

   \[x - \left(y \cdot 4.0\right) \cdot z\]

2. Final simplification 0.1

   \[\leadsto x - \left(4.0 \cdot y\right) \cdot z\]

Reproduce

herbie shell --seed 2019165 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A"
  (- x (* (* y 4.0) z)))