Average Error: 18.2 → 0.0
Time: 10.2s
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 r405031 = x;
        double r405032 = y;
        double r405033 = r405031 * r405032;
        double r405034 = r405032 * r405032;
        double r405035 = r405033 + r405034;
        double r405036 = z;
        double r405037 = r405032 * r405036;
        double r405038 = r405035 - r405037;
        double r405039 = r405038 - r405034;
        return r405039;
}
↓
double f(double x, double y, double z) {
        double r405040 = x;
        double r405041 = z;
        double r405042 = r405040 - r405041;
        double r405043 = y;
        double r405044 = r405042 * r405043;
        return r405044;
}

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

Original18.2
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 18.2

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

  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 2019179 
(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)))