Average Error: 17.1 → 0.0
Time: 14.6s
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 r325850 = x;
        double r325851 = y;
        double r325852 = r325850 * r325851;
        double r325853 = r325851 * r325851;
        double r325854 = r325852 + r325853;
        double r325855 = z;
        double r325856 = r325851 * r325855;
        double r325857 = r325854 - r325856;
        double r325858 = r325857 - r325853;
        return r325858;
}
↓
double f(double x, double y, double z) {
        double r325859 = x;
        double r325860 = z;
        double r325861 = r325859 - r325860;
        double r325862 = y;
        double r325863 = r325861 * r325862;
        return r325863;
}

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

Original17.1
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.1

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

  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 2019198 
(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)))