Average Error: 0.0 → 0.0
Time: 20.8s
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 r108907 = x;
        double r108908 = y;
        double r108909 = r108907 * r108908;
        double r108910 = z;
        double r108911 = t;
        double r108912 = r108910 * r108911;
        double r108913 = r108909 + r108912;
        double r108914 = a;
        double r108915 = b;
        double r108916 = r108914 * r108915;
        double r108917 = r108913 + r108916;
        double r108918 = c;
        double r108919 = i;
        double r108920 = r108918 * r108919;
        double r108921 = r108917 + r108920;
        return r108921;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r108922 = x;
        double r108923 = y;
        double r108924 = r108922 * r108923;
        double r108925 = z;
        double r108926 = t;
        double r108927 = r108925 * r108926;
        double r108928 = r108924 + r108927;
        double r108929 = a;
        double r108930 = b;
        double r108931 = r108929 * r108930;
        double r108932 = r108928 + r108931;
        double r108933 = c;
        double r108934 = i;
        double r108935 = r108933 * r108934;
        double r108936 = r108932 + r108935;
        return r108936;
}

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 2019350 
(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)))