Average Error: 0.0 → 0.0
Time: 1.6s
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 r176741 = x;
        double r176742 = y;
        double r176743 = r176741 * r176742;
        double r176744 = z;
        double r176745 = t;
        double r176746 = r176744 * r176745;
        double r176747 = r176743 + r176746;
        double r176748 = a;
        double r176749 = b;
        double r176750 = r176748 * r176749;
        double r176751 = r176747 + r176750;
        double r176752 = c;
        double r176753 = i;
        double r176754 = r176752 * r176753;
        double r176755 = r176751 + r176754;
        return r176755;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r176756 = x;
        double r176757 = y;
        double r176758 = r176756 * r176757;
        double r176759 = z;
        double r176760 = t;
        double r176761 = r176759 * r176760;
        double r176762 = r176758 + r176761;
        double r176763 = a;
        double r176764 = b;
        double r176765 = r176763 * r176764;
        double r176766 = r176762 + r176765;
        double r176767 = c;
        double r176768 = i;
        double r176769 = r176767 * r176768;
        double r176770 = r176766 + r176769;
        return r176770;
}

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 2019356 
(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)))