Average Error: 0.0 → 0.0
Time: 1.3m
Precision: 64
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)\]
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
↓
c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r12221978 = x;
        double r12221979 = y;
        double r12221980 = r12221978 * r12221979;
        double r12221981 = z;
        double r12221982 = t;
        double r12221983 = r12221981 * r12221982;
        double r12221984 = r12221980 + r12221983;
        double r12221985 = a;
        double r12221986 = b;
        double r12221987 = r12221985 * r12221986;
        double r12221988 = r12221984 + r12221987;
        double r12221989 = c;
        double r12221990 = i;
        double r12221991 = r12221989 * r12221990;
        double r12221992 = r12221988 + r12221991;
        return r12221992;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r12221993 = c;
        double r12221994 = i;
        double r12221995 = r12221993 * r12221994;
        double r12221996 = z;
        double r12221997 = t;
        double r12221998 = r12221996 * r12221997;
        double r12221999 = x;
        double r12222000 = y;
        double r12222001 = r12221999 * r12222000;
        double r12222002 = r12221998 + r12222001;
        double r12222003 = a;
        double r12222004 = b;
        double r12222005 = r12222003 * r12222004;
        double r12222006 = r12222002 + r12222005;
        double r12222007 = r12221995 + r12222006;
        return r12222007;
}

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

    \[\leadsto c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)\]

Reproduce

herbie shell --seed 2019112 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3"
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))