Average Error: 0.0 → 0.0
Time: 6.6s
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 r76823 = x;
        double r76824 = y;
        double r76825 = r76823 * r76824;
        double r76826 = z;
        double r76827 = t;
        double r76828 = r76826 * r76827;
        double r76829 = r76825 + r76828;
        double r76830 = a;
        double r76831 = b;
        double r76832 = r76830 * r76831;
        double r76833 = r76829 + r76832;
        double r76834 = c;
        double r76835 = i;
        double r76836 = r76834 * r76835;
        double r76837 = r76833 + r76836;
        return r76837;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r76838 = x;
        double r76839 = y;
        double r76840 = r76838 * r76839;
        double r76841 = z;
        double r76842 = t;
        double r76843 = r76841 * r76842;
        double r76844 = r76840 + r76843;
        double r76845 = a;
        double r76846 = b;
        double r76847 = r76845 * r76846;
        double r76848 = r76844 + r76847;
        double r76849 = c;
        double r76850 = i;
        double r76851 = r76849 * r76850;
        double r76852 = r76848 + r76851;
        return r76852;
}

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 2020002 
(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)))