Average Error: 0.0 → 0.0
Time: 17.9s
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 r175940 = x;
        double r175941 = y;
        double r175942 = r175940 * r175941;
        double r175943 = z;
        double r175944 = t;
        double r175945 = r175943 * r175944;
        double r175946 = r175942 + r175945;
        double r175947 = a;
        double r175948 = b;
        double r175949 = r175947 * r175948;
        double r175950 = r175946 + r175949;
        double r175951 = c;
        double r175952 = i;
        double r175953 = r175951 * r175952;
        double r175954 = r175950 + r175953;
        return r175954;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r175955 = x;
        double r175956 = y;
        double r175957 = r175955 * r175956;
        double r175958 = z;
        double r175959 = t;
        double r175960 = r175958 * r175959;
        double r175961 = r175957 + r175960;
        double r175962 = a;
        double r175963 = b;
        double r175964 = r175962 * r175963;
        double r175965 = r175961 + r175964;
        double r175966 = c;
        double r175967 = i;
        double r175968 = r175966 * r175967;
        double r175969 = r175965 + r175968;
        return r175969;
}

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 2020047 
(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)))