Average Error: 0.0 → 0.0
Time: 11.4s
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 r78748 = x;
        double r78749 = y;
        double r78750 = r78748 * r78749;
        double r78751 = z;
        double r78752 = t;
        double r78753 = r78751 * r78752;
        double r78754 = r78750 + r78753;
        double r78755 = a;
        double r78756 = b;
        double r78757 = r78755 * r78756;
        double r78758 = r78754 + r78757;
        double r78759 = c;
        double r78760 = i;
        double r78761 = r78759 * r78760;
        double r78762 = r78758 + r78761;
        return r78762;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r78763 = x;
        double r78764 = y;
        double r78765 = r78763 * r78764;
        double r78766 = z;
        double r78767 = t;
        double r78768 = r78766 * r78767;
        double r78769 = r78765 + r78768;
        double r78770 = a;
        double r78771 = b;
        double r78772 = r78770 * r78771;
        double r78773 = r78769 + r78772;
        double r78774 = c;
        double r78775 = i;
        double r78776 = r78774 * r78775;
        double r78777 = r78773 + r78776;
        return r78777;
}

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 2020045 
(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)))