Average Error: 0.0 → 0.0
Time: 12.1s
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 r3311746 = x;
        double r3311747 = y;
        double r3311748 = r3311746 * r3311747;
        double r3311749 = z;
        double r3311750 = t;
        double r3311751 = r3311749 * r3311750;
        double r3311752 = r3311748 + r3311751;
        double r3311753 = a;
        double r3311754 = b;
        double r3311755 = r3311753 * r3311754;
        double r3311756 = r3311752 + r3311755;
        double r3311757 = c;
        double r3311758 = i;
        double r3311759 = r3311757 * r3311758;
        double r3311760 = r3311756 + r3311759;
        return r3311760;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r3311761 = c;
        double r3311762 = i;
        double r3311763 = r3311761 * r3311762;
        double r3311764 = z;
        double r3311765 = t;
        double r3311766 = r3311764 * r3311765;
        double r3311767 = x;
        double r3311768 = y;
        double r3311769 = r3311767 * r3311768;
        double r3311770 = r3311766 + r3311769;
        double r3311771 = a;
        double r3311772 = b;
        double r3311773 = r3311771 * r3311772;
        double r3311774 = r3311770 + r3311773;
        double r3311775 = r3311763 + r3311774;
        return r3311775;
}

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 2019152 
(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)))