Average Error: 17.0 → 0.0
Time: 16.4s
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 r27726351 = x;
        double r27726352 = y;
        double r27726353 = r27726351 * r27726352;
        double r27726354 = z;
        double r27726355 = r27726352 * r27726354;
        double r27726356 = r27726353 - r27726355;
        double r27726357 = r27726352 * r27726352;
        double r27726358 = r27726356 - r27726357;
        double r27726359 = r27726358 + r27726357;
        return r27726359;
}
↓
double f(double x, double y, double z) {
        double r27726360 = x;
        double r27726361 = z;
        double r27726362 = r27726360 - r27726361;
        double r27726363 = y;
        double r27726364 = r27726362 * r27726363;
        return r27726364;
}

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

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

Derivation

  1. Initial program 17.0

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

  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 2019162 
(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)))