Average Error: 17.3 → 0.0
Time: 6.9s
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 r25448719 = x;
        double r25448720 = y;
        double r25448721 = r25448719 * r25448720;
        double r25448722 = z;
        double r25448723 = r25448720 * r25448722;
        double r25448724 = r25448721 - r25448723;
        double r25448725 = r25448720 * r25448720;
        double r25448726 = r25448724 - r25448725;
        double r25448727 = r25448726 + r25448725;
        return r25448727;
}
↓
double f(double x, double y, double z) {
        double r25448728 = x;
        double r25448729 = z;
        double r25448730 = r25448728 - r25448729;
        double r25448731 = y;
        double r25448732 = r25448730 * r25448731;
        return r25448732;
}

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

    \[\leadsto \color{blue}{y \cdot \left(x - z\right)}\]

  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)))