Average Error: 0.0 → 0.0
Time: 1.1m
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 r6755746 = x;
        double r6755747 = y;
        double r6755748 = r6755746 * r6755747;
        double r6755749 = z;
        double r6755750 = t;
        double r6755751 = r6755749 * r6755750;
        double r6755752 = r6755748 + r6755751;
        double r6755753 = a;
        double r6755754 = b;
        double r6755755 = r6755753 * r6755754;
        double r6755756 = r6755752 + r6755755;
        double r6755757 = c;
        double r6755758 = i;
        double r6755759 = r6755757 * r6755758;
        double r6755760 = r6755756 + r6755759;
        return r6755760;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r6755761 = c;
        double r6755762 = i;
        double r6755763 = r6755761 * r6755762;
        double r6755764 = z;
        double r6755765 = t;
        double r6755766 = r6755764 * r6755765;
        double r6755767 = x;
        double r6755768 = y;
        double r6755769 = r6755767 * r6755768;
        double r6755770 = r6755766 + r6755769;
        double r6755771 = a;
        double r6755772 = b;
        double r6755773 = r6755771 * r6755772;
        double r6755774 = r6755770 + r6755773;
        double r6755775 = r6755763 + r6755774;
        return r6755775;
}

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 2019121 
(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)))