Average Error: 0.0 → 0.0
Time: 6.1s
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 r80846 = x;
        double r80847 = y;
        double r80848 = r80846 * r80847;
        double r80849 = z;
        double r80850 = t;
        double r80851 = r80849 * r80850;
        double r80852 = r80848 + r80851;
        double r80853 = a;
        double r80854 = b;
        double r80855 = r80853 * r80854;
        double r80856 = r80852 + r80855;
        double r80857 = c;
        double r80858 = i;
        double r80859 = r80857 * r80858;
        double r80860 = r80856 + r80859;
        return r80860;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r80861 = x;
        double r80862 = y;
        double r80863 = r80861 * r80862;
        double r80864 = z;
        double r80865 = t;
        double r80866 = r80864 * r80865;
        double r80867 = r80863 + r80866;
        double r80868 = a;
        double r80869 = b;
        double r80870 = r80868 * r80869;
        double r80871 = r80867 + r80870;
        double r80872 = c;
        double r80873 = i;
        double r80874 = r80872 * r80873;
        double r80875 = r80871 + r80874;
        return r80875;
}

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 2020081 
(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)))