Average Error: 0.0 → 0.0
Time: 18.2s
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 r80356 = x;
        double r80357 = y;
        double r80358 = r80356 * r80357;
        double r80359 = z;
        double r80360 = t;
        double r80361 = r80359 * r80360;
        double r80362 = r80358 + r80361;
        double r80363 = a;
        double r80364 = b;
        double r80365 = r80363 * r80364;
        double r80366 = r80362 + r80365;
        double r80367 = c;
        double r80368 = i;
        double r80369 = r80367 * r80368;
        double r80370 = r80366 + r80369;
        return r80370;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r80371 = c;
        double r80372 = i;
        double r80373 = r80371 * r80372;
        double r80374 = z;
        double r80375 = t;
        double r80376 = r80374 * r80375;
        double r80377 = x;
        double r80378 = y;
        double r80379 = r80377 * r80378;
        double r80380 = r80376 + r80379;
        double r80381 = a;
        double r80382 = b;
        double r80383 = r80381 * r80382;
        double r80384 = r80380 + r80383;
        double r80385 = r80373 + r80384;
        return r80385;
}

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 2019194 
(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)))