Average Error: 0.0 → 0.0
Time: 16.3s
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 r115975 = x;
        double r115976 = y;
        double r115977 = r115975 * r115976;
        double r115978 = z;
        double r115979 = t;
        double r115980 = r115978 * r115979;
        double r115981 = r115977 + r115980;
        double r115982 = a;
        double r115983 = b;
        double r115984 = r115982 * r115983;
        double r115985 = r115981 + r115984;
        double r115986 = c;
        double r115987 = i;
        double r115988 = r115986 * r115987;
        double r115989 = r115985 + r115988;
        return r115989;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r115990 = x;
        double r115991 = y;
        double r115992 = r115990 * r115991;
        double r115993 = z;
        double r115994 = t;
        double r115995 = r115993 * r115994;
        double r115996 = r115992 + r115995;
        double r115997 = a;
        double r115998 = b;
        double r115999 = r115997 * r115998;
        double r116000 = r115996 + r115999;
        double r116001 = c;
        double r116002 = i;
        double r116003 = r116001 * r116002;
        double r116004 = r116000 + r116003;
        return r116004;
}

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 2019325 
(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)))