Average Error: 12.8 → 0.0
Time: 9.0s
Precision: 64
\[\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r28984 = x;
        double r28985 = y;
        double r28986 = r28984 * r28985;
        double r28987 = r28985 * r28985;
        double r28988 = r28986 - r28987;
        double r28989 = r28988 + r28987;
        double r28990 = z;
        double r28991 = r28985 * r28990;
        double r28992 = r28989 - r28991;
        return r28992;
}
↓
double f(double x, double y, double z) {
        double r28993 = x;
        double r28994 = z;
        double r28995 = r28993 - r28994;
        double r28996 = y;
        double r28997 = r28995 * r28996;
        return r28997;
}

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

Original12.8
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 12.8

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019315 
(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)))