Average Error: 17.0 → 0.0
Time: 13.4s
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 r25658624 = x;
        double r25658625 = y;
        double r25658626 = r25658624 * r25658625;
        double r25658627 = r25658625 * r25658625;
        double r25658628 = r25658626 + r25658627;
        double r25658629 = z;
        double r25658630 = r25658625 * r25658629;
        double r25658631 = r25658628 - r25658630;
        double r25658632 = r25658631 - r25658627;
        return r25658632;
}

double f(double x, double y, double z) {
        double r25658633 = x;
        double r25658634 = z;
        double r25658635 = r25658633 - r25658634;
        double r25658636 = y;
        double r25658637 = r25658635 * r25658636;
        return r25658637;
}

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

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

Derivation

  1. Initial program 17.0

    \[\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y\]
  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 2019162 
(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)))