Average Error: 17.6 → 0.0
Time: 2.8s
Precision: 64
\[\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y\]
↓
\[y \cdot \left(x - z\right)\]
\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y
↓
y \cdot \left(x - z\right)
double f(double x, double y, double z) {
        double r547264 = x;
        double r547265 = y;
        double r547266 = r547264 * r547265;
        double r547267 = z;
        double r547268 = r547265 * r547267;
        double r547269 = r547266 - r547268;
        double r547270 = r547265 * r547265;
        double r547271 = r547269 - r547270;
        double r547272 = r547271 + r547270;
        return r547272;
}
↓
double f(double x, double y, double z) {
        double r547273 = y;
        double r547274 = x;
        double r547275 = z;
        double r547276 = r547274 - r547275;
        double r547277 = r547273 * r547276;
        return r547277;
}

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

Original17.6
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.6

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

  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 2020039 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, B"
  :precision binary64

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

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