Average Error: 0.0 → 0.0
Time: 33.7s
Precision: 64
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)\]
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
↓
c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r4552976 = x;
        double r4552977 = y;
        double r4552978 = r4552976 * r4552977;
        double r4552979 = z;
        double r4552980 = t;
        double r4552981 = r4552979 * r4552980;
        double r4552982 = r4552978 + r4552981;
        double r4552983 = a;
        double r4552984 = b;
        double r4552985 = r4552983 * r4552984;
        double r4552986 = r4552982 + r4552985;
        double r4552987 = c;
        double r4552988 = i;
        double r4552989 = r4552987 * r4552988;
        double r4552990 = r4552986 + r4552989;
        return r4552990;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r4552991 = c;
        double r4552992 = i;
        double r4552993 = r4552991 * r4552992;
        double r4552994 = z;
        double r4552995 = t;
        double r4552996 = r4552994 * r4552995;
        double r4552997 = x;
        double r4552998 = y;
        double r4552999 = r4552997 * r4552998;
        double r4553000 = r4552996 + r4552999;
        double r4553001 = a;
        double r4553002 = b;
        double r4553003 = r4553001 * r4553002;
        double r4553004 = r4553000 + r4553003;
        double r4553005 = r4552993 + r4553004;
        return r4553005;
}

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

    \[\leadsto c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)\]

Reproduce

herbie shell --seed 2019172 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3"
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))