Average Error: 0.0 → 0.0
Time: 37.0s
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 r8798706 = x;
        double r8798707 = y;
        double r8798708 = r8798706 * r8798707;
        double r8798709 = z;
        double r8798710 = t;
        double r8798711 = r8798709 * r8798710;
        double r8798712 = r8798708 + r8798711;
        double r8798713 = a;
        double r8798714 = b;
        double r8798715 = r8798713 * r8798714;
        double r8798716 = r8798712 + r8798715;
        double r8798717 = c;
        double r8798718 = i;
        double r8798719 = r8798717 * r8798718;
        double r8798720 = r8798716 + r8798719;
        return r8798720;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r8798721 = c;
        double r8798722 = i;
        double r8798723 = r8798721 * r8798722;
        double r8798724 = z;
        double r8798725 = t;
        double r8798726 = r8798724 * r8798725;
        double r8798727 = x;
        double r8798728 = y;
        double r8798729 = r8798727 * r8798728;
        double r8798730 = r8798726 + r8798729;
        double r8798731 = a;
        double r8798732 = b;
        double r8798733 = r8798731 * r8798732;
        double r8798734 = r8798730 + r8798733;
        double r8798735 = r8798723 + r8798734;
        return r8798735;
}

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 2019104 
(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)))