Average Error: 0.0 → 0.0
Time: 13.2s
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 r82977 = x;
        double r82978 = y;
        double r82979 = r82977 * r82978;
        double r82980 = z;
        double r82981 = t;
        double r82982 = r82980 * r82981;
        double r82983 = r82979 + r82982;
        double r82984 = a;
        double r82985 = b;
        double r82986 = r82984 * r82985;
        double r82987 = r82983 + r82986;
        double r82988 = c;
        double r82989 = i;
        double r82990 = r82988 * r82989;
        double r82991 = r82987 + r82990;
        return r82991;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r82992 = x;
        double r82993 = y;
        double r82994 = r82992 * r82993;
        double r82995 = z;
        double r82996 = t;
        double r82997 = r82995 * r82996;
        double r82998 = r82994 + r82997;
        double r82999 = a;
        double r83000 = b;
        double r83001 = r82999 * r83000;
        double r83002 = r82998 + r83001;
        double r83003 = c;
        double r83004 = i;
        double r83005 = r83003 * r83004;
        double r83006 = r83002 + r83005;
        return r83006;
}

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 2019235 
(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)))