Average Error: 0.0 → 0.0
Time: 5.7s
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 r75944 = x;
        double r75945 = y;
        double r75946 = r75944 * r75945;
        double r75947 = z;
        double r75948 = t;
        double r75949 = r75947 * r75948;
        double r75950 = r75946 + r75949;
        double r75951 = a;
        double r75952 = b;
        double r75953 = r75951 * r75952;
        double r75954 = r75950 + r75953;
        double r75955 = c;
        double r75956 = i;
        double r75957 = r75955 * r75956;
        double r75958 = r75954 + r75957;
        return r75958;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r75959 = x;
        double r75960 = y;
        double r75961 = r75959 * r75960;
        double r75962 = z;
        double r75963 = t;
        double r75964 = r75962 * r75963;
        double r75965 = r75961 + r75964;
        double r75966 = a;
        double r75967 = b;
        double r75968 = r75966 * r75967;
        double r75969 = r75965 + r75968;
        double r75970 = c;
        double r75971 = i;
        double r75972 = r75970 * r75971;
        double r75973 = r75969 + r75972;
        return r75973;
}

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 2020034 
(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)))