Average Error: 0.0 → 0.0
Time: 9.1s
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 r81708 = x;
        double r81709 = y;
        double r81710 = r81708 * r81709;
        double r81711 = z;
        double r81712 = t;
        double r81713 = r81711 * r81712;
        double r81714 = r81710 + r81713;
        double r81715 = a;
        double r81716 = b;
        double r81717 = r81715 * r81716;
        double r81718 = r81714 + r81717;
        double r81719 = c;
        double r81720 = i;
        double r81721 = r81719 * r81720;
        double r81722 = r81718 + r81721;
        return r81722;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r81723 = x;
        double r81724 = y;
        double r81725 = r81723 * r81724;
        double r81726 = z;
        double r81727 = t;
        double r81728 = r81726 * r81727;
        double r81729 = r81725 + r81728;
        double r81730 = a;
        double r81731 = b;
        double r81732 = r81730 * r81731;
        double r81733 = r81729 + r81732;
        double r81734 = c;
        double r81735 = i;
        double r81736 = r81734 * r81735;
        double r81737 = r81733 + r81736;
        return r81737;
}

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 2020027 
(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)))