Average Error: 12.7 → 0.0
Time: 9.8s
Precision: 64
\[\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z\]
↓
\[y \cdot \left(x - z\right)\]
\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z
↓
y \cdot \left(x - z\right)
double f(double x, double y, double z) {
        double r35006912 = x;
        double r35006913 = y;
        double r35006914 = r35006912 * r35006913;
        double r35006915 = r35006913 * r35006913;
        double r35006916 = r35006914 - r35006915;
        double r35006917 = r35006916 + r35006915;
        double r35006918 = z;
        double r35006919 = r35006913 * r35006918;
        double r35006920 = r35006917 - r35006919;
        return r35006920;
}
↓
double f(double x, double y, double z) {
        double r35006921 = y;
        double r35006922 = x;
        double r35006923 = z;
        double r35006924 = r35006922 - r35006923;
        double r35006925 = r35006921 * r35006924;
        return r35006925;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019174 
(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)))