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

Average Error: 0.1 → 0.1

Time: 712.0ms

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 r171722 = x;
        double r171723 = y;
        double r171724 = 4.0;
        double r171725 = r171723 * r171724;
        double r171726 = z;
        double r171727 = r171725 * r171726;
        double r171728 = r171722 - r171727;
        return r171728;
}

↓

double f(double x, double y, double z) {
        double r171729 = x;
        double r171730 = y;
        double r171731 = 4.0;
        double r171732 = r171730 * r171731;
        double r171733 = z;
        double r171734 = r171732 * r171733;
        double r171735 = r171729 - r171734;
        return r171735;
}

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 2020036 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (* y 4) z)))