Average Error: 17.6 → 0.0
Time: 21.9s
Precision: 64
\[\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r307700 = x;
        double r307701 = y;
        double r307702 = r307700 * r307701;
        double r307703 = r307701 * r307701;
        double r307704 = r307702 + r307703;
        double r307705 = z;
        double r307706 = r307701 * r307705;
        double r307707 = r307704 - r307706;
        double r307708 = r307707 - r307703;
        return r307708;
}
↓
double f(double x, double y, double z) {
        double r307709 = x;
        double r307710 = z;
        double r307711 = r307709 - r307710;
        double r307712 = y;
        double r307713 = r307711 * r307712;
        return r307713;
}

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

Original17.6
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.6

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

  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 2019322 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, C"
  :precision binary64

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

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