Average Error: 17.4 → 0.0
Time: 8.7s
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 r32793 = x;
        double r32794 = y;
        double r32795 = r32793 * r32794;
        double r32796 = z;
        double r32797 = r32794 * r32796;
        double r32798 = r32795 - r32797;
        double r32799 = r32794 * r32794;
        double r32800 = r32798 - r32799;
        double r32801 = r32800 + r32799;
        return r32801;
}
↓
double f(double x, double y, double z) {
        double r32802 = y;
        double r32803 = x;
        double r32804 = z;
        double r32805 = r32803 - r32804;
        double r32806 = r32802 * r32805;
        return r32806;
}

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 2019315 
(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)))