Average Error: 0.0 → 0.0
Time: 26.0s
Precision: 64
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)\]
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
↓
c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r3007706 = x;
        double r3007707 = y;
        double r3007708 = r3007706 * r3007707;
        double r3007709 = z;
        double r3007710 = t;
        double r3007711 = r3007709 * r3007710;
        double r3007712 = r3007708 + r3007711;
        double r3007713 = a;
        double r3007714 = b;
        double r3007715 = r3007713 * r3007714;
        double r3007716 = r3007712 + r3007715;
        double r3007717 = c;
        double r3007718 = i;
        double r3007719 = r3007717 * r3007718;
        double r3007720 = r3007716 + r3007719;
        return r3007720;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r3007721 = c;
        double r3007722 = i;
        double r3007723 = r3007721 * r3007722;
        double r3007724 = z;
        double r3007725 = t;
        double r3007726 = r3007724 * r3007725;
        double r3007727 = x;
        double r3007728 = y;
        double r3007729 = r3007727 * r3007728;
        double r3007730 = r3007726 + r3007729;
        double r3007731 = a;
        double r3007732 = b;
        double r3007733 = r3007731 * r3007732;
        double r3007734 = r3007730 + r3007733;
        double r3007735 = r3007723 + r3007734;
        return r3007735;
}

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

    \[\leadsto c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)\]

Reproduce

herbie shell --seed 2019142 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3"
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))