Average Error: 12.7 → 0.0
Time: 10.7s
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 r428592 = x;
        double r428593 = y;
        double r428594 = r428592 * r428593;
        double r428595 = r428593 * r428593;
        double r428596 = r428594 - r428595;
        double r428597 = r428596 + r428595;
        double r428598 = z;
        double r428599 = r428593 * r428598;
        double r428600 = r428597 - r428599;
        return r428600;
}
↓
double f(double x, double y, double z) {
        double r428601 = x;
        double r428602 = z;
        double r428603 = r428601 - r428602;
        double r428604 = y;
        double r428605 = r428603 * r428604;
        return r428605;
}

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

Original12.7
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 12.7

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

  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 2019198 
(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)))