Average Error: 12.5 → 0.0
Time: 13.1s
Precision: 64
\[\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r417849 = x;
        double r417850 = y;
        double r417851 = r417849 * r417850;
        double r417852 = r417850 * r417850;
        double r417853 = r417851 - r417852;
        double r417854 = r417853 + r417852;
        double r417855 = z;
        double r417856 = r417850 * r417855;
        double r417857 = r417854 - r417856;
        return r417857;
}
↓
double f(double x, double y, double z) {
        double r417858 = x;
        double r417859 = z;
        double r417860 = r417858 - r417859;
        double r417861 = y;
        double r417862 = r417860 * r417861;
        return r417862;
}

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

Original12.5
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 12.5

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

  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 2019323 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, D"
  :precision binary64

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

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