Average Error: 0.0 → 0.0
Time: 7.4s
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 r66961 = x;
        double r66962 = y;
        double r66963 = r66961 * r66962;
        double r66964 = z;
        double r66965 = t;
        double r66966 = r66964 * r66965;
        double r66967 = r66963 + r66966;
        double r66968 = a;
        double r66969 = b;
        double r66970 = r66968 * r66969;
        double r66971 = r66967 + r66970;
        double r66972 = c;
        double r66973 = i;
        double r66974 = r66972 * r66973;
        double r66975 = r66971 + r66974;
        return r66975;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r66976 = x;
        double r66977 = y;
        double r66978 = r66976 * r66977;
        double r66979 = z;
        double r66980 = t;
        double r66981 = r66979 * r66980;
        double r66982 = r66978 + r66981;
        double r66983 = a;
        double r66984 = b;
        double r66985 = r66983 * r66984;
        double r66986 = r66982 + r66985;
        double r66987 = c;
        double r66988 = i;
        double r66989 = r66987 * r66988;
        double r66990 = r66986 + r66989;
        return r66990;
}

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 2019323 
(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)))