Average Error: 17.3 → 0.0
Time: 5.6s
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 r25685427 = x;
        double r25685428 = y;
        double r25685429 = r25685427 * r25685428;
        double r25685430 = r25685428 * r25685428;
        double r25685431 = r25685429 + r25685430;
        double r25685432 = z;
        double r25685433 = r25685428 * r25685432;
        double r25685434 = r25685431 - r25685433;
        double r25685435 = r25685434 - r25685430;
        return r25685435;
}
↓
double f(double x, double y, double z) {
        double r25685436 = x;
        double r25685437 = z;
        double r25685438 = r25685436 - r25685437;
        double r25685439 = y;
        double r25685440 = r25685438 * r25685439;
        return r25685440;
}

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

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

  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, C"

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

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