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 r103804 = x;
        double r103805 = y;
        double r103806 = r103804 * r103805;
        double r103807 = z;
        double r103808 = t;
        double r103809 = r103807 * r103808;
        double r103810 = r103806 + r103809;
        double r103811 = a;
        double r103812 = b;
        double r103813 = r103811 * r103812;
        double r103814 = r103810 + r103813;
        double r103815 = c;
        double r103816 = i;
        double r103817 = r103815 * r103816;
        double r103818 = r103814 + r103817;
        return r103818;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r103819 = x;
        double r103820 = y;
        double r103821 = r103819 * r103820;
        double r103822 = z;
        double r103823 = t;
        double r103824 = r103822 * r103823;
        double r103825 = r103821 + r103824;
        double r103826 = a;
        double r103827 = b;
        double r103828 = r103826 * r103827;
        double r103829 = r103825 + r103828;
        double r103830 = c;
        double r103831 = i;
        double r103832 = r103830 * r103831;
        double r103833 = r103829 + r103832;
        return r103833;
}

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 2020034 
(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)))