Average Error: 0.0 → 0.0
Time: 14.8s
Precision: 64
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
↓
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r69835 = x;
        double r69836 = y;
        double r69837 = r69835 * r69836;
        double r69838 = z;
        double r69839 = t;
        double r69840 = r69838 * r69839;
        double r69841 = r69837 + r69840;
        double r69842 = a;
        double r69843 = b;
        double r69844 = r69842 * r69843;
        double r69845 = r69841 + r69844;
        double r69846 = c;
        double r69847 = i;
        double r69848 = r69846 * r69847;
        double r69849 = r69845 + r69848;
        return r69849;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r69850 = x;
        double r69851 = y;
        double r69852 = r69850 * r69851;
        double r69853 = z;
        double r69854 = t;
        double r69855 = r69853 * r69854;
        double r69856 = r69852 + r69855;
        double r69857 = a;
        double r69858 = b;
        double r69859 = r69857 * r69858;
        double r69860 = r69856 + r69859;
        double r69861 = c;
        double r69862 = i;
        double r69863 = r69861 * r69862;
        double r69864 = r69860 + r69863;
        return r69864;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Bits error versus b

Bits error versus c

Bits error versus i

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]

  2. Final simplification0.0

    \[\leadsto \left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]

Reproduce

herbie shell --seed 2019303 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))