Average Error: 0.0 → 0.0
Time: 6.5s
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 r78447 = x;
        double r78448 = y;
        double r78449 = r78447 * r78448;
        double r78450 = z;
        double r78451 = t;
        double r78452 = r78450 * r78451;
        double r78453 = r78449 + r78452;
        double r78454 = a;
        double r78455 = b;
        double r78456 = r78454 * r78455;
        double r78457 = r78453 + r78456;
        double r78458 = c;
        double r78459 = i;
        double r78460 = r78458 * r78459;
        double r78461 = r78457 + r78460;
        return r78461;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r78462 = x;
        double r78463 = y;
        double r78464 = r78462 * r78463;
        double r78465 = z;
        double r78466 = t;
        double r78467 = r78465 * r78466;
        double r78468 = r78464 + r78467;
        double r78469 = a;
        double r78470 = b;
        double r78471 = r78469 * r78470;
        double r78472 = r78468 + r78471;
        double r78473 = c;
        double r78474 = i;
        double r78475 = r78473 * r78474;
        double r78476 = r78472 + r78475;
        return r78476;
}

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)))