Average Error: 13.1 → 0.0
Time: 12.5s
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 r23471286 = x;
        double r23471287 = y;
        double r23471288 = r23471286 * r23471287;
        double r23471289 = r23471287 * r23471287;
        double r23471290 = r23471288 - r23471289;
        double r23471291 = r23471290 + r23471289;
        double r23471292 = z;
        double r23471293 = r23471287 * r23471292;
        double r23471294 = r23471291 - r23471293;
        return r23471294;
}
↓
double f(double x, double y, double z) {
        double r23471295 = x;
        double r23471296 = z;
        double r23471297 = r23471295 - r23471296;
        double r23471298 = y;
        double r23471299 = r23471297 * r23471298;
        return r23471299;
}

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

Original13.1
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 13.1

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019168 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, D"

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

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