Average Error: 17.9 → 0.0
Time: 3.8s
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 r472141 = x;
        double r472142 = y;
        double r472143 = r472141 * r472142;
        double r472144 = r472142 * r472142;
        double r472145 = r472143 + r472144;
        double r472146 = z;
        double r472147 = r472142 * r472146;
        double r472148 = r472145 - r472147;
        double r472149 = r472148 - r472144;
        return r472149;
}
↓
double f(double x, double y, double z) {
        double r472150 = y;
        double r472151 = x;
        double r472152 = z;
        double r472153 = r472151 - r472152;
        double r472154 = r472150 * r472153;
        return r472154;
}

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

Original17.9
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.9

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

  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 2020001 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, C"
  :precision binary64

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

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