Average Error: 17.5 → 0.0
Time: 1.9s
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 r577847 = x;
        double r577848 = y;
        double r577849 = r577847 * r577848;
        double r577850 = r577848 * r577848;
        double r577851 = r577849 + r577850;
        double r577852 = z;
        double r577853 = r577848 * r577852;
        double r577854 = r577851 - r577853;
        double r577855 = r577854 - r577850;
        return r577855;
}
↓
double f(double x, double y, double z) {
        double r577856 = y;
        double r577857 = x;
        double r577858 = z;
        double r577859 = r577857 - r577858;
        double r577860 = r577856 * r577859;
        return r577860;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020083 
(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)))