Average Error: 17.2 → 0.0
Time: 7.7s
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 r12017674 = x;
        double r12017675 = y;
        double r12017676 = r12017674 * r12017675;
        double r12017677 = r12017675 * r12017675;
        double r12017678 = r12017676 + r12017677;
        double r12017679 = z;
        double r12017680 = r12017675 * r12017679;
        double r12017681 = r12017678 - r12017680;
        double r12017682 = r12017681 - r12017677;
        return r12017682;
}
↓
double f(double x, double y, double z) {
        double r12017683 = x;
        double r12017684 = z;
        double r12017685 = r12017683 - r12017684;
        double r12017686 = y;
        double r12017687 = r12017685 * r12017686;
        return r12017687;
}

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 2019156 
(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)))