Average Error: 17.8 → 0.0
Time: 2.1s
Precision: 64
\[\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y\]
↓
\[y \cdot \left(x - z\right)\]
\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y
↓
y \cdot \left(x - z\right)
double f(double x, double y, double z) {
        double r487864 = x;
        double r487865 = y;
        double r487866 = r487864 * r487865;
        double r487867 = r487865 * r487865;
        double r487868 = r487866 + r487867;
        double r487869 = z;
        double r487870 = r487865 * r487869;
        double r487871 = r487868 - r487870;
        double r487872 = r487871 - r487867;
        return r487872;
}
↓
double f(double x, double y, double z) {
        double r487873 = y;
        double r487874 = x;
        double r487875 = z;
        double r487876 = r487874 - r487875;
        double r487877 = r487873 * r487876;
        return r487877;
}

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

Original17.8
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.8

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

  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 2020060 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, C"
  :precision binary64

  :herbie-target
  (* (- x z) y)

  (- (- (+ (* x y) (* y y)) (* y z)) (* y y)))