Average Error: 13.3 → 0.0
Time: 23.3s
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 r26211514 = x;
        double r26211515 = y;
        double r26211516 = r26211514 * r26211515;
        double r26211517 = r26211515 * r26211515;
        double r26211518 = r26211516 - r26211517;
        double r26211519 = r26211518 + r26211517;
        double r26211520 = z;
        double r26211521 = r26211515 * r26211520;
        double r26211522 = r26211519 - r26211521;
        return r26211522;
}
↓
double f(double x, double y, double z) {
        double r26211523 = x;
        double r26211524 = z;
        double r26211525 = r26211523 - r26211524;
        double r26211526 = y;
        double r26211527 = r26211525 * r26211526;
        return r26211527;
}

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

Original13.3
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 13.3

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019168 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, D"

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

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