Average Error: 17.2 → 0.0
Time: 17.6s
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 r26202438 = x;
        double r26202439 = y;
        double r26202440 = r26202438 * r26202439;
        double r26202441 = r26202439 * r26202439;
        double r26202442 = r26202440 + r26202441;
        double r26202443 = z;
        double r26202444 = r26202439 * r26202443;
        double r26202445 = r26202442 - r26202444;
        double r26202446 = r26202445 - r26202441;
        return r26202446;
}
↓
double f(double x, double y, double z) {
        double r26202447 = x;
        double r26202448 = z;
        double r26202449 = r26202447 - r26202448;
        double r26202450 = y;
        double r26202451 = r26202449 * r26202450;
        return r26202451;
}

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

Original17.2
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.2

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

  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 2019158 
(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)))