Average Error: 17.4 → 0.0
Time: 9.1s
Precision: 64
\[\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y\]
↓
\[y \cdot \left(x - z\right)\]
\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y
↓
y \cdot \left(x - z\right)
double f(double x, double y, double z) {
        double r35311428 = x;
        double r35311429 = y;
        double r35311430 = r35311428 * r35311429;
        double r35311431 = z;
        double r35311432 = r35311429 * r35311431;
        double r35311433 = r35311430 - r35311432;
        double r35311434 = r35311429 * r35311429;
        double r35311435 = r35311433 - r35311434;
        double r35311436 = r35311435 + r35311434;
        return r35311436;
}
↓
double f(double x, double y, double z) {
        double r35311437 = y;
        double r35311438 = x;
        double r35311439 = z;
        double r35311440 = r35311438 - r35311439;
        double r35311441 = r35311437 * r35311440;
        return r35311441;
}

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

Original17.4
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.4

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

  2. Simplified0.0

    \[\leadsto \color{blue}{y \cdot \left(x - z\right)}\]

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019174 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, B"

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

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