Average Error: 17.3 → 0.0
Time: 15.2s
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 r389849 = x;
        double r389850 = y;
        double r389851 = r389849 * r389850;
        double r389852 = r389850 * r389850;
        double r389853 = r389851 + r389852;
        double r389854 = z;
        double r389855 = r389850 * r389854;
        double r389856 = r389853 - r389855;
        double r389857 = r389856 - r389852;
        return r389857;
}
↓
double f(double x, double y, double z) {
        double r389858 = x;
        double r389859 = z;
        double r389860 = r389858 - r389859;
        double r389861 = y;
        double r389862 = r389860 * r389861;
        return r389862;
}

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

Original17.3
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.3

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

  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 2019194 
(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)))