Average Error: 17.8 → 0.0
Time: 30.3s
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 r365186 = x;
        double r365187 = y;
        double r365188 = r365186 * r365187;
        double r365189 = r365187 * r365187;
        double r365190 = r365188 + r365189;
        double r365191 = z;
        double r365192 = r365187 * r365191;
        double r365193 = r365190 - r365192;
        double r365194 = r365193 - r365189;
        return r365194;
}
↓
double f(double x, double y, double z) {
        double r365195 = x;
        double r365196 = z;
        double r365197 = r365195 - r365196;
        double r365198 = y;
        double r365199 = r365197 * r365198;
        return r365199;
}

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

Original17.8
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.8

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

  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 2019199 
(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)))