Average Error: 0.0 → 0.0
Time: 5.9s
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 r78506 = x;
        double r78507 = y;
        double r78508 = r78506 * r78507;
        double r78509 = z;
        double r78510 = t;
        double r78511 = r78509 * r78510;
        double r78512 = r78508 + r78511;
        double r78513 = a;
        double r78514 = b;
        double r78515 = r78513 * r78514;
        double r78516 = r78512 + r78515;
        double r78517 = c;
        double r78518 = i;
        double r78519 = r78517 * r78518;
        double r78520 = r78516 + r78519;
        return r78520;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r78521 = x;
        double r78522 = y;
        double r78523 = r78521 * r78522;
        double r78524 = z;
        double r78525 = t;
        double r78526 = r78524 * r78525;
        double r78527 = r78523 + r78526;
        double r78528 = a;
        double r78529 = b;
        double r78530 = r78528 * r78529;
        double r78531 = r78527 + r78530;
        double r78532 = c;
        double r78533 = i;
        double r78534 = r78532 * r78533;
        double r78535 = r78531 + r78534;
        return r78535;
}

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 2020060 
(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)))