Average Error: 17.4 → 0.0
Time: 20.9s
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 r390178 = x;
        double r390179 = y;
        double r390180 = r390178 * r390179;
        double r390181 = r390179 * r390179;
        double r390182 = r390180 + r390181;
        double r390183 = z;
        double r390184 = r390179 * r390183;
        double r390185 = r390182 - r390184;
        double r390186 = r390185 - r390181;
        return r390186;
}
↓
double f(double x, double y, double z) {
        double r390187 = x;
        double r390188 = z;
        double r390189 = r390187 - r390188;
        double r390190 = y;
        double r390191 = r390189 * r390190;
        return r390191;
}

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

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

  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 2019303 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, C"
  :precision binary64

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

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