Average Error: 12.5 → 0.0
Time: 13.2s
Precision: 64
\[\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r457079 = x;
        double r457080 = y;
        double r457081 = r457079 * r457080;
        double r457082 = r457080 * r457080;
        double r457083 = r457081 - r457082;
        double r457084 = r457083 + r457082;
        double r457085 = z;
        double r457086 = r457080 * r457085;
        double r457087 = r457084 - r457086;
        return r457087;
}
↓
double f(double x, double y, double z) {
        double r457088 = x;
        double r457089 = z;
        double r457090 = r457088 - r457089;
        double r457091 = y;
        double r457092 = r457090 * r457091;
        return r457092;
}

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

Original12.5
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 12.5

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

  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 2019323 
(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)))