Average Error: 17.7 → 0.0
Time: 28.3s
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 r24715980 = x;
        double r24715981 = y;
        double r24715982 = r24715980 * r24715981;
        double r24715983 = r24715981 * r24715981;
        double r24715984 = r24715982 + r24715983;
        double r24715985 = z;
        double r24715986 = r24715981 * r24715985;
        double r24715987 = r24715984 - r24715986;
        double r24715988 = r24715987 - r24715983;
        return r24715988;
}
↓
double f(double x, double y, double z) {
        double r24715989 = x;
        double r24715990 = z;
        double r24715991 = r24715989 - r24715990;
        double r24715992 = y;
        double r24715993 = r24715991 * r24715992;
        return r24715993;
}

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

Original17.7
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.7

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

  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 2019168 
(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)))