Average Error: 0.0 → 0.0
Time: 21.5s
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 r76380 = x;
        double r76381 = y;
        double r76382 = r76380 * r76381;
        double r76383 = z;
        double r76384 = t;
        double r76385 = r76383 * r76384;
        double r76386 = r76382 + r76385;
        double r76387 = a;
        double r76388 = b;
        double r76389 = r76387 * r76388;
        double r76390 = r76386 + r76389;
        double r76391 = c;
        double r76392 = i;
        double r76393 = r76391 * r76392;
        double r76394 = r76390 + r76393;
        return r76394;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r76395 = x;
        double r76396 = y;
        double r76397 = r76395 * r76396;
        double r76398 = z;
        double r76399 = t;
        double r76400 = r76398 * r76399;
        double r76401 = r76397 + r76400;
        double r76402 = a;
        double r76403 = b;
        double r76404 = r76402 * r76403;
        double r76405 = r76401 + r76404;
        double r76406 = c;
        double r76407 = i;
        double r76408 = r76406 * r76407;
        double r76409 = r76405 + r76408;
        return r76409;
}

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 2019322 
(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)))