Average Error: 17.1 → 0.0
Time: 12.2s
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 r9811721 = x;
        double r9811722 = y;
        double r9811723 = r9811721 * r9811722;
        double r9811724 = r9811722 * r9811722;
        double r9811725 = r9811723 + r9811724;
        double r9811726 = z;
        double r9811727 = r9811722 * r9811726;
        double r9811728 = r9811725 - r9811727;
        double r9811729 = r9811728 - r9811724;
        return r9811729;
}
↓
double f(double x, double y, double z) {
        double r9811730 = x;
        double r9811731 = z;
        double r9811732 = r9811730 - r9811731;
        double r9811733 = y;
        double r9811734 = r9811732 * r9811733;
        return r9811734;
}

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

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

  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 2019171 
(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)))