Average Error: 0.0 → 0.0
Time: 1.6s
Precision: 64
\[x \cdot y + \left(x - 1\right) \cdot z\]
↓
\[x \cdot y + \left(x - 1\right) \cdot z\]
x \cdot y + \left(x - 1\right) \cdot z
↓
x \cdot y + \left(x - 1\right) \cdot z
double f(double x, double y, double z) {
        double r145655 = x;
        double r145656 = y;
        double r145657 = r145655 * r145656;
        double r145658 = 1.0;
        double r145659 = r145655 - r145658;
        double r145660 = z;
        double r145661 = r145659 * r145660;
        double r145662 = r145657 + r145661;
        return r145662;
}
↓
double f(double x, double y, double z) {
        double r145663 = x;
        double r145664 = y;
        double r145665 = r145663 * r145664;
        double r145666 = 1.0;
        double r145667 = r145663 - r145666;
        double r145668 = z;
        double r145669 = r145667 * r145668;
        double r145670 = r145665 + r145669;
        return r145670;
}

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

Derivation

  1. Initial program 0.0

    \[x \cdot y + \left(x - 1\right) \cdot z\]

  2. Final simplification0.0

    \[\leadsto x \cdot y + \left(x - 1\right) \cdot z\]

Reproduce

herbie shell --seed 2020001 
(FPCore (x y z)
  :name "Graphics.Rendering.Chart.Drawing:drawTextsR from Chart-1.5.3"
  :precision binary64
  (+ (* x y) (* (- x 1) z)))