Average Error: 17.0 → 0.0
Time: 13.1s
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 r27663993 = x;
        double r27663994 = y;
        double r27663995 = r27663993 * r27663994;
        double r27663996 = r27663994 * r27663994;
        double r27663997 = r27663995 + r27663996;
        double r27663998 = z;
        double r27663999 = r27663994 * r27663998;
        double r27664000 = r27663997 - r27663999;
        double r27664001 = r27664000 - r27663996;
        return r27664001;
}
↓
double f(double x, double y, double z) {
        double r27664002 = x;
        double r27664003 = z;
        double r27664004 = r27664002 - r27664003;
        double r27664005 = y;
        double r27664006 = r27664004 * r27664005;
        return r27664006;
}

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)))