Average Error: 12.6 → 0.0
Time: 20.9s
Precision: 64
\[\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z\]
↓
\[y \cdot \left(x - z\right)\]
\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z
↓
y \cdot \left(x - z\right)
double f(double x, double y, double z) {
        double r94658472 = x;
        double r94658473 = y;
        double r94658474 = r94658472 * r94658473;
        double r94658475 = r94658473 * r94658473;
        double r94658476 = r94658474 - r94658475;
        double r94658477 = r94658476 + r94658475;
        double r94658478 = z;
        double r94658479 = r94658473 * r94658478;
        double r94658480 = r94658477 - r94658479;
        return r94658480;
}
↓
double f(double x, double y, double z) {
        double r94658481 = y;
        double r94658482 = x;
        double r94658483 = z;
        double r94658484 = r94658482 - r94658483;
        double r94658485 = r94658481 * r94658484;
        return r94658485;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

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Results

Enter valid numbers for all inputs

Target

Original12.6
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 12.6

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019173 
(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)))