Average Error: 0.0 → 0.0
Time: 9.4s
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 r174681 = x;
        double r174682 = y;
        double r174683 = r174681 * r174682;
        double r174684 = 1.0;
        double r174685 = r174681 - r174684;
        double r174686 = z;
        double r174687 = r174685 * r174686;
        double r174688 = r174683 + r174687;
        return r174688;
}
↓
double f(double x, double y, double z) {
        double r174689 = x;
        double r174690 = y;
        double r174691 = r174689 * r174690;
        double r174692 = 1.0;
        double r174693 = r174689 - r174692;
        double r174694 = z;
        double r174695 = r174693 * r174694;
        double r174696 = r174691 + r174695;
        return r174696;
}

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 2020047 
(FPCore (x y z)
  :name "Graphics.Rendering.Chart.Drawing:drawTextsR from Chart-1.5.3"
  :precision binary64
  (+ (* x y) (* (- x 1) z)))