Average Error: 0.0 → 0.0
Time: 13.6s
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 r164856 = x;
        double r164857 = y;
        double r164858 = r164856 * r164857;
        double r164859 = z;
        double r164860 = t;
        double r164861 = r164859 * r164860;
        double r164862 = r164858 + r164861;
        double r164863 = a;
        double r164864 = b;
        double r164865 = r164863 * r164864;
        double r164866 = r164862 + r164865;
        double r164867 = c;
        double r164868 = i;
        double r164869 = r164867 * r164868;
        double r164870 = r164866 + r164869;
        return r164870;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r164871 = x;
        double r164872 = y;
        double r164873 = r164871 * r164872;
        double r164874 = z;
        double r164875 = t;
        double r164876 = r164874 * r164875;
        double r164877 = r164873 + r164876;
        double r164878 = a;
        double r164879 = b;
        double r164880 = r164878 * r164879;
        double r164881 = r164877 + r164880;
        double r164882 = c;
        double r164883 = i;
        double r164884 = r164882 * r164883;
        double r164885 = r164881 + r164884;
        return r164885;
}

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, C"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))