Average Error: 17.4 → 0.0
Time: 12.1s
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 r35006834 = x;
        double r35006835 = y;
        double r35006836 = r35006834 * r35006835;
        double r35006837 = r35006835 * r35006835;
        double r35006838 = r35006836 + r35006837;
        double r35006839 = z;
        double r35006840 = r35006835 * r35006839;
        double r35006841 = r35006838 - r35006840;
        double r35006842 = r35006841 - r35006837;
        return r35006842;
}
↓
double f(double x, double y, double z) {
        double r35006843 = x;
        double r35006844 = z;
        double r35006845 = r35006843 - r35006844;
        double r35006846 = y;
        double r35006847 = r35006845 * r35006846;
        return r35006847;
}

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

Original17.4
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.4

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

  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 2019174 
(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)))