Average Error: 17.5 → 0.0
Time: 7.0s
Precision: 64
\[\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r22789651 = x;
        double r22789652 = y;
        double r22789653 = r22789651 * r22789652;
        double r22789654 = z;
        double r22789655 = r22789652 * r22789654;
        double r22789656 = r22789653 - r22789655;
        double r22789657 = r22789652 * r22789652;
        double r22789658 = r22789656 - r22789657;
        double r22789659 = r22789658 + r22789657;
        return r22789659;
}
↓
double f(double x, double y, double z) {
        double r22789660 = x;
        double r22789661 = z;
        double r22789662 = r22789660 - r22789661;
        double r22789663 = y;
        double r22789664 = r22789662 * r22789663;
        return r22789664;
}

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

Original17.5
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.5

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

  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 2019192 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, B"

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

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