Average Error: 0.0 → 0.0
Time: 12.5s
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 r121890 = x;
        double r121891 = y;
        double r121892 = r121890 * r121891;
        double r121893 = z;
        double r121894 = t;
        double r121895 = r121893 * r121894;
        double r121896 = r121892 + r121895;
        double r121897 = a;
        double r121898 = b;
        double r121899 = r121897 * r121898;
        double r121900 = r121896 + r121899;
        double r121901 = c;
        double r121902 = i;
        double r121903 = r121901 * r121902;
        double r121904 = r121900 + r121903;
        return r121904;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r121905 = x;
        double r121906 = y;
        double r121907 = r121905 * r121906;
        double r121908 = z;
        double r121909 = t;
        double r121910 = r121908 * r121909;
        double r121911 = r121907 + r121910;
        double r121912 = a;
        double r121913 = b;
        double r121914 = r121912 * r121913;
        double r121915 = r121911 + r121914;
        double r121916 = c;
        double r121917 = i;
        double r121918 = r121916 * r121917;
        double r121919 = r121915 + r121918;
        return r121919;
}

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 2019235 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3, C"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))