Average Error: 13.3 → 0.0
Time: 3.3s
Precision: 64
\[\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z\]
↓
\[y \cdot \left(x - z\right)\]
\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z
↓
y \cdot \left(x - z\right)
double f(double x, double y, double z) {
        double r579241 = x;
        double r579242 = y;
        double r579243 = r579241 * r579242;
        double r579244 = r579242 * r579242;
        double r579245 = r579243 - r579244;
        double r579246 = r579245 + r579244;
        double r579247 = z;
        double r579248 = r579242 * r579247;
        double r579249 = r579246 - r579248;
        return r579249;
}
↓
double f(double x, double y, double z) {
        double r579250 = y;
        double r579251 = x;
        double r579252 = z;
        double r579253 = r579251 - r579252;
        double r579254 = r579250 * r579253;
        return r579254;
}

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

Original13.3
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 13.3

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

  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 2020036 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, D"
  :precision binary64

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

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