Average Error: 17.9 → 0.0
Time: 1.2m
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 r23685758 = x;
        double r23685759 = y;
        double r23685760 = r23685758 * r23685759;
        double r23685761 = r23685759 * r23685759;
        double r23685762 = r23685760 + r23685761;
        double r23685763 = z;
        double r23685764 = r23685759 * r23685763;
        double r23685765 = r23685762 - r23685764;
        double r23685766 = r23685765 - r23685761;
        return r23685766;
}
↓
double f(double x, double y, double z) {
        double r23685767 = x;
        double r23685768 = z;
        double r23685769 = r23685767 - r23685768;
        double r23685770 = y;
        double r23685771 = r23685769 * r23685770;
        return r23685771;
}

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

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

  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 2019200 +o rules:numerics
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, C"

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

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