Average Error: 17.4 → 0.0
Time: 13.2s
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 r32488388 = x;
        double r32488389 = y;
        double r32488390 = r32488388 * r32488389;
        double r32488391 = z;
        double r32488392 = r32488389 * r32488391;
        double r32488393 = r32488390 - r32488392;
        double r32488394 = r32488389 * r32488389;
        double r32488395 = r32488393 - r32488394;
        double r32488396 = r32488395 + r32488394;
        return r32488396;
}
↓
double f(double x, double y, double z) {
        double r32488397 = y;
        double r32488398 = x;
        double r32488399 = z;
        double r32488400 = r32488398 - r32488399;
        double r32488401 = r32488397 * r32488400;
        return r32488401;
}

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 2019174 +o rules:numerics
(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)))