Average Error: 12.6 → 0.0
Time: 13.0s
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 r393582 = x;
        double r393583 = y;
        double r393584 = r393582 * r393583;
        double r393585 = r393583 * r393583;
        double r393586 = r393584 - r393585;
        double r393587 = r393586 + r393585;
        double r393588 = z;
        double r393589 = r393583 * r393588;
        double r393590 = r393587 - r393589;
        return r393590;
}
↓
double f(double x, double y, double z) {
        double r393591 = x;
        double r393592 = z;
        double r393593 = r393591 - r393592;
        double r393594 = y;
        double r393595 = r393593 * r393594;
        return r393595;
}

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

Original12.6
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 12.6

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

  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 2019194 
(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)))