Average Error: 17.3 → 0.0
Time: 12.2s
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 r487024 = x;
        double r487025 = y;
        double r487026 = r487024 * r487025;
        double r487027 = z;
        double r487028 = r487025 * r487027;
        double r487029 = r487026 - r487028;
        double r487030 = r487025 * r487025;
        double r487031 = r487029 - r487030;
        double r487032 = r487031 + r487030;
        return r487032;
}
↓
double f(double x, double y, double z) {
        double r487033 = x;
        double r487034 = z;
        double r487035 = r487033 - r487034;
        double r487036 = y;
        double r487037 = r487035 * r487036;
        return r487037;
}

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

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

  2. Simplified0.0

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

  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, B"

  :herbie-target
  (* (- x z) y)

  (+ (- (- (* x y) (* y z)) (* y y)) (* y y)))