Average Error: 0.0 → 0.0
Time: 6.2s
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 r119967 = x;
        double r119968 = y;
        double r119969 = r119967 * r119968;
        double r119970 = z;
        double r119971 = t;
        double r119972 = r119970 * r119971;
        double r119973 = r119969 + r119972;
        double r119974 = a;
        double r119975 = b;
        double r119976 = r119974 * r119975;
        double r119977 = r119973 + r119976;
        double r119978 = c;
        double r119979 = i;
        double r119980 = r119978 * r119979;
        double r119981 = r119977 + r119980;
        return r119981;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r119982 = x;
        double r119983 = y;
        double r119984 = r119982 * r119983;
        double r119985 = z;
        double r119986 = t;
        double r119987 = r119985 * r119986;
        double r119988 = r119984 + r119987;
        double r119989 = a;
        double r119990 = b;
        double r119991 = r119989 * r119990;
        double r119992 = r119988 + r119991;
        double r119993 = c;
        double r119994 = i;
        double r119995 = r119993 * r119994;
        double r119996 = r119992 + r119995;
        return r119996;
}

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 2019353 
(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)))