Average Error: 17.5 → 0.0
Time: 13.5s
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 r22991914 = x;
        double r22991915 = y;
        double r22991916 = r22991914 * r22991915;
        double r22991917 = r22991915 * r22991915;
        double r22991918 = r22991916 + r22991917;
        double r22991919 = z;
        double r22991920 = r22991915 * r22991919;
        double r22991921 = r22991918 - r22991920;
        double r22991922 = r22991921 - r22991917;
        return r22991922;
}
↓
double f(double x, double y, double z) {
        double r22991923 = x;
        double r22991924 = z;
        double r22991925 = r22991923 - r22991924;
        double r22991926 = y;
        double r22991927 = r22991925 * r22991926;
        return r22991927;
}

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

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

  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 2019168 
(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)))