Average Error: 0.0 → 0.0
Time: 1.8m
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 r84703 = x;
        double r84704 = y;
        double r84705 = r84703 * r84704;
        double r84706 = z;
        double r84707 = t;
        double r84708 = r84706 * r84707;
        double r84709 = r84705 + r84708;
        double r84710 = a;
        double r84711 = b;
        double r84712 = r84710 * r84711;
        double r84713 = r84709 + r84712;
        double r84714 = c;
        double r84715 = i;
        double r84716 = r84714 * r84715;
        double r84717 = r84713 + r84716;
        return r84717;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r84718 = x;
        double r84719 = y;
        double r84720 = r84718 * r84719;
        double r84721 = z;
        double r84722 = t;
        double r84723 = r84721 * r84722;
        double r84724 = r84720 + r84723;
        double r84725 = a;
        double r84726 = b;
        double r84727 = r84725 * r84726;
        double r84728 = r84724 + r84727;
        double r84729 = c;
        double r84730 = i;
        double r84731 = r84729 * r84730;
        double r84732 = r84728 + r84731;
        return r84732;
}

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 2020021 
(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)))