Average Error: 17.9 → 0.0
Time: 14.0s
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 r518028 = x;
        double r518029 = y;
        double r518030 = r518028 * r518029;
        double r518031 = r518029 * r518029;
        double r518032 = r518030 + r518031;
        double r518033 = z;
        double r518034 = r518029 * r518033;
        double r518035 = r518032 - r518034;
        double r518036 = r518035 - r518031;
        return r518036;
}
↓
double f(double x, double y, double z) {
        double r518037 = y;
        double r518038 = x;
        double r518039 = z;
        double r518040 = r518038 - r518039;
        double r518041 = r518037 * r518040;
        return r518041;
}

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

Original17.9
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.9

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

  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 2020046 
(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)))