Average Error: 17.2 → 0.0
Time: 18.9s
Precision: 64
\[\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r18015343 = x;
        double r18015344 = y;
        double r18015345 = r18015343 * r18015344;
        double r18015346 = z;
        double r18015347 = r18015344 * r18015346;
        double r18015348 = r18015345 - r18015347;
        double r18015349 = r18015344 * r18015344;
        double r18015350 = r18015348 - r18015349;
        double r18015351 = r18015350 + r18015349;
        return r18015351;
}
↓
double f(double x, double y, double z) {
        double r18015352 = x;
        double r18015353 = z;
        double r18015354 = r18015352 - r18015353;
        double r18015355 = y;
        double r18015356 = r18015354 * r18015355;
        return r18015356;
}

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

Original17.2
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.2

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019158 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, B"

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

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