Average Error: 0.0 → 0.0
Time: 6.3s
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 r135489 = x;
        double r135490 = y;
        double r135491 = r135489 * r135490;
        double r135492 = z;
        double r135493 = t;
        double r135494 = r135492 * r135493;
        double r135495 = r135491 + r135494;
        double r135496 = a;
        double r135497 = b;
        double r135498 = r135496 * r135497;
        double r135499 = r135495 + r135498;
        double r135500 = c;
        double r135501 = i;
        double r135502 = r135500 * r135501;
        double r135503 = r135499 + r135502;
        return r135503;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r135504 = x;
        double r135505 = y;
        double r135506 = r135504 * r135505;
        double r135507 = z;
        double r135508 = t;
        double r135509 = r135507 * r135508;
        double r135510 = r135506 + r135509;
        double r135511 = a;
        double r135512 = b;
        double r135513 = r135511 * r135512;
        double r135514 = r135510 + r135513;
        double r135515 = c;
        double r135516 = i;
        double r135517 = r135515 * r135516;
        double r135518 = r135514 + r135517;
        return r135518;
}

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 2019353 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3, C"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))