Average Error: 0.0 → 0.0
Time: 7.3s
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 r74763 = x;
        double r74764 = y;
        double r74765 = r74763 * r74764;
        double r74766 = z;
        double r74767 = t;
        double r74768 = r74766 * r74767;
        double r74769 = r74765 + r74768;
        double r74770 = a;
        double r74771 = b;
        double r74772 = r74770 * r74771;
        double r74773 = r74769 + r74772;
        double r74774 = c;
        double r74775 = i;
        double r74776 = r74774 * r74775;
        double r74777 = r74773 + r74776;
        return r74777;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r74778 = x;
        double r74779 = y;
        double r74780 = r74778 * r74779;
        double r74781 = z;
        double r74782 = t;
        double r74783 = r74781 * r74782;
        double r74784 = r74780 + r74783;
        double r74785 = a;
        double r74786 = b;
        double r74787 = r74785 * r74786;
        double r74788 = r74784 + r74787;
        double r74789 = c;
        double r74790 = i;
        double r74791 = r74789 * r74790;
        double r74792 = r74788 + r74791;
        return r74792;
}

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 2019323 
(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)))