Average Error: 17.4 → 0.0
Time: 20.9s
Precision: 64
\[\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y\]
↓
\[y \cdot \left(x - z\right)\]
\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y
↓
y \cdot \left(x - z\right)
double f(double x, double y, double z) {
        double r329095 = x;
        double r329096 = y;
        double r329097 = r329095 * r329096;
        double r329098 = z;
        double r329099 = r329096 * r329098;
        double r329100 = r329097 - r329099;
        double r329101 = r329096 * r329096;
        double r329102 = r329100 - r329101;
        double r329103 = r329102 + r329101;
        return r329103;
}
↓
double f(double x, double y, double z) {
        double r329104 = y;
        double r329105 = x;
        double r329106 = z;
        double r329107 = r329105 - r329106;
        double r329108 = r329104 * r329107;
        return r329108;
}

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

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

  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 2019306 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, B"
  :precision binary64

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

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