Average Error: 0.0 → 0.0
Time: 6.4s
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 r110814 = x;
        double r110815 = y;
        double r110816 = r110814 * r110815;
        double r110817 = z;
        double r110818 = t;
        double r110819 = r110817 * r110818;
        double r110820 = r110816 + r110819;
        double r110821 = a;
        double r110822 = b;
        double r110823 = r110821 * r110822;
        double r110824 = r110820 + r110823;
        double r110825 = c;
        double r110826 = i;
        double r110827 = r110825 * r110826;
        double r110828 = r110824 + r110827;
        return r110828;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r110829 = x;
        double r110830 = y;
        double r110831 = r110829 * r110830;
        double r110832 = z;
        double r110833 = t;
        double r110834 = r110832 * r110833;
        double r110835 = r110831 + r110834;
        double r110836 = a;
        double r110837 = b;
        double r110838 = r110836 * r110837;
        double r110839 = r110835 + r110838;
        double r110840 = c;
        double r110841 = i;
        double r110842 = r110840 * r110841;
        double r110843 = r110839 + r110842;
        return r110843;
}

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 2019353 
(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)))