Average Error: 17.4 → 0.0
Time: 8.3s
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 r484030 = x;
        double r484031 = y;
        double r484032 = r484030 * r484031;
        double r484033 = r484031 * r484031;
        double r484034 = r484032 + r484033;
        double r484035 = z;
        double r484036 = r484031 * r484035;
        double r484037 = r484034 - r484036;
        double r484038 = r484037 - r484033;
        return r484038;
}
↓
double f(double x, double y, double z) {
        double r484039 = x;
        double r484040 = z;
        double r484041 = r484039 - r484040;
        double r484042 = y;
        double r484043 = r484041 * r484042;
        return r484043;
}

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

Original17.4
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.4

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

  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 2019174 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, C"

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

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