Average Error: 17.1 → 0.0
Time: 10.4s
Precision: 64
\[\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r409165 = x;
        double r409166 = y;
        double r409167 = r409165 * r409166;
        double r409168 = z;
        double r409169 = r409166 * r409168;
        double r409170 = r409167 - r409169;
        double r409171 = r409166 * r409166;
        double r409172 = r409170 - r409171;
        double r409173 = r409172 + r409171;
        return r409173;
}
↓
double f(double x, double y, double z) {
        double r409174 = x;
        double r409175 = z;
        double r409176 = r409174 - r409175;
        double r409177 = y;
        double r409178 = r409176 * r409177;
        return r409178;
}

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

Original17.1
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.1

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

  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 2019198 
(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)))