Average Error: 0.0 → 0.0
Time: 4.4s
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 r103738 = x;
        double r103739 = y;
        double r103740 = r103738 * r103739;
        double r103741 = z;
        double r103742 = t;
        double r103743 = r103741 * r103742;
        double r103744 = r103740 + r103743;
        double r103745 = a;
        double r103746 = b;
        double r103747 = r103745 * r103746;
        double r103748 = r103744 + r103747;
        double r103749 = c;
        double r103750 = i;
        double r103751 = r103749 * r103750;
        double r103752 = r103748 + r103751;
        return r103752;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r103753 = x;
        double r103754 = y;
        double r103755 = r103753 * r103754;
        double r103756 = z;
        double r103757 = t;
        double r103758 = r103756 * r103757;
        double r103759 = r103755 + r103758;
        double r103760 = a;
        double r103761 = b;
        double r103762 = r103760 * r103761;
        double r103763 = r103759 + r103762;
        double r103764 = c;
        double r103765 = i;
        double r103766 = r103764 * r103765;
        double r103767 = r103763 + r103766;
        return r103767;
}

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 2020001 
(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)))