Average Error: 17.3 → 0.0
Time: 5.3s
Precision: 64
\[\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r26801525 = x;
        double r26801526 = y;
        double r26801527 = r26801525 * r26801526;
        double r26801528 = r26801526 * r26801526;
        double r26801529 = r26801527 + r26801528;
        double r26801530 = z;
        double r26801531 = r26801526 * r26801530;
        double r26801532 = r26801529 - r26801531;
        double r26801533 = r26801532 - r26801528;
        return r26801533;
}
↓
double f(double x, double y, double z) {
        double r26801534 = x;
        double r26801535 = z;
        double r26801536 = r26801534 - r26801535;
        double r26801537 = y;
        double r26801538 = r26801536 * r26801537;
        return r26801538;
}

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

Original17.3
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.3

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019163 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, C"

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

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