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

Average Error: 0.1 → 0.1

Time: 1.1s

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 r154126 = x;
        double r154127 = y;
        double r154128 = 4.0;
        double r154129 = r154127 * r154128;
        double r154130 = z;
        double r154131 = r154129 * r154130;
        double r154132 = r154126 - r154131;
        return r154132;
}

↓

double f(double x, double y, double z) {
        double r154133 = x;
        double r154134 = y;
        double r154135 = 4.0;
        double r154136 = r154134 * r154135;
        double r154137 = z;
        double r154138 = r154136 * r154137;
        double r154139 = r154133 - r154138;
        return r154139;
}

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 2019212 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (* y 4) z)))