Average Error: 17.4 → 0.0
Time: 14.3s
Precision: 64
\[\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y\]
↓
\[y \cdot \left(x - z\right)\]
\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y
↓
y \cdot \left(x - z\right)
double f(double x, double y, double z) {
        double r30091903 = x;
        double r30091904 = y;
        double r30091905 = r30091903 * r30091904;
        double r30091906 = r30091904 * r30091904;
        double r30091907 = r30091905 + r30091906;
        double r30091908 = z;
        double r30091909 = r30091904 * r30091908;
        double r30091910 = r30091907 - r30091909;
        double r30091911 = r30091910 - r30091906;
        return r30091911;
}
↓
double f(double x, double y, double z) {
        double r30091912 = y;
        double r30091913 = x;
        double r30091914 = z;
        double r30091915 = r30091913 - r30091914;
        double r30091916 = r30091912 * r30091915;
        return r30091916;
}

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

Original17.4
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.4

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

  2. Simplified0.0

    \[\leadsto \color{blue}{y \cdot \left(x - z\right)}\]

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(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)))