Average Error: 0.0 → 0.0
Time: 5.6s
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 r76150 = x;
        double r76151 = y;
        double r76152 = r76150 * r76151;
        double r76153 = z;
        double r76154 = t;
        double r76155 = r76153 * r76154;
        double r76156 = r76152 + r76155;
        double r76157 = a;
        double r76158 = b;
        double r76159 = r76157 * r76158;
        double r76160 = r76156 + r76159;
        double r76161 = c;
        double r76162 = i;
        double r76163 = r76161 * r76162;
        double r76164 = r76160 + r76163;
        return r76164;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r76165 = x;
        double r76166 = y;
        double r76167 = r76165 * r76166;
        double r76168 = z;
        double r76169 = t;
        double r76170 = r76168 * r76169;
        double r76171 = r76167 + r76170;
        double r76172 = a;
        double r76173 = b;
        double r76174 = r76172 * r76173;
        double r76175 = r76171 + r76174;
        double r76176 = c;
        double r76177 = i;
        double r76178 = r76176 * r76177;
        double r76179 = r76175 + r76178;
        return r76179;
}

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 2020064 
(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)))