Average Error: 0.0 → 0.0
Time: 3.5m
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 r9599733 = x;
        double r9599734 = y;
        double r9599735 = r9599733 * r9599734;
        double r9599736 = z;
        double r9599737 = t;
        double r9599738 = r9599736 * r9599737;
        double r9599739 = r9599735 + r9599738;
        double r9599740 = a;
        double r9599741 = b;
        double r9599742 = r9599740 * r9599741;
        double r9599743 = r9599739 + r9599742;
        double r9599744 = c;
        double r9599745 = i;
        double r9599746 = r9599744 * r9599745;
        double r9599747 = r9599743 + r9599746;
        return r9599747;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r9599748 = c;
        double r9599749 = i;
        double r9599750 = r9599748 * r9599749;
        double r9599751 = z;
        double r9599752 = t;
        double r9599753 = r9599751 * r9599752;
        double r9599754 = x;
        double r9599755 = y;
        double r9599756 = r9599754 * r9599755;
        double r9599757 = r9599753 + r9599756;
        double r9599758 = a;
        double r9599759 = b;
        double r9599760 = r9599758 * r9599759;
        double r9599761 = r9599757 + r9599760;
        double r9599762 = r9599750 + r9599761;
        return r9599762;
}

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 2019107 
(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)))