Average Error: 13.4 → 0.0
Time: 3.3s
Precision: 64
\[\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z\]
↓
\[y \cdot \left(x - z\right)\]
\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z
↓
y \cdot \left(x - z\right)
double f(double x, double y, double z) {
        double r601988 = x;
        double r601989 = y;
        double r601990 = r601988 * r601989;
        double r601991 = r601989 * r601989;
        double r601992 = r601990 - r601991;
        double r601993 = r601992 + r601991;
        double r601994 = z;
        double r601995 = r601989 * r601994;
        double r601996 = r601993 - r601995;
        return r601996;
}
↓
double f(double x, double y, double z) {
        double r601997 = y;
        double r601998 = x;
        double r601999 = z;
        double r602000 = r601998 - r601999;
        double r602001 = r601997 * r602000;
        return r602001;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original13.4
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 13.4

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

  2. Simplified0.0

    \[\leadsto \color{blue}{y \cdot \left(x - z\right)}\]

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020001 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, D"
  :precision binary64

  :herbie-target
  (* (- x z) y)

  (- (+ (- (* x y) (* y y)) (* y y)) (* y z)))