Average Error: 17.3 → 0.0
Time: 6.7s
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 r20203940 = x;
        double r20203941 = y;
        double r20203942 = r20203940 * r20203941;
        double r20203943 = z;
        double r20203944 = r20203941 * r20203943;
        double r20203945 = r20203942 - r20203944;
        double r20203946 = r20203941 * r20203941;
        double r20203947 = r20203945 - r20203946;
        double r20203948 = r20203947 + r20203946;
        return r20203948;
}
↓
double f(double x, double y, double z) {
        double r20203949 = x;
        double r20203950 = z;
        double r20203951 = r20203949 - r20203950;
        double r20203952 = y;
        double r20203953 = r20203951 * r20203952;
        return r20203953;
}

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

Original17.3
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.3

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

  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 2019163 
(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)))