Average Error: 17.9 → 0.0
Time: 1.2m
Precision: 64
\[\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r22212494 = x;
        double r22212495 = y;
        double r22212496 = r22212494 * r22212495;
        double r22212497 = z;
        double r22212498 = r22212495 * r22212497;
        double r22212499 = r22212496 - r22212498;
        double r22212500 = r22212495 * r22212495;
        double r22212501 = r22212499 - r22212500;
        double r22212502 = r22212501 + r22212500;
        return r22212502;
}
↓
double f(double x, double y, double z) {
        double r22212503 = x;
        double r22212504 = z;
        double r22212505 = r22212503 - r22212504;
        double r22212506 = y;
        double r22212507 = r22212505 * r22212506;
        return r22212507;
}

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

Original17.9
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.9

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

  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 2019200 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, B"

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

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