Average Error: 12.8 → 0.0
Time: 4.8s
Precision: 64
\[\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r25004803 = x;
        double r25004804 = y;
        double r25004805 = r25004803 * r25004804;
        double r25004806 = r25004804 * r25004804;
        double r25004807 = r25004805 - r25004806;
        double r25004808 = r25004807 + r25004806;
        double r25004809 = z;
        double r25004810 = r25004804 * r25004809;
        double r25004811 = r25004808 - r25004810;
        return r25004811;
}
↓
double f(double x, double y, double z) {
        double r25004812 = x;
        double r25004813 = z;
        double r25004814 = r25004812 - r25004813;
        double r25004815 = y;
        double r25004816 = r25004814 * r25004815;
        return r25004816;
}

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

Original12.8
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 12.8

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

  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, D"

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

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