Average Error: 18.0 → 0.0
Time: 35.1s
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 r21619858 = x;
        double r21619859 = y;
        double r21619860 = r21619858 * r21619859;
        double r21619861 = r21619859 * r21619859;
        double r21619862 = r21619860 + r21619861;
        double r21619863 = z;
        double r21619864 = r21619859 * r21619863;
        double r21619865 = r21619862 - r21619864;
        double r21619866 = r21619865 - r21619861;
        return r21619866;
}
↓
double f(double x, double y, double z) {
        double r21619867 = x;
        double r21619868 = z;
        double r21619869 = r21619867 - r21619868;
        double r21619870 = y;
        double r21619871 = r21619869 * r21619870;
        return r21619871;
}

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

Original18.0
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 18.0

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

  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 2019165 
(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)))