Average Error: 0.0 → 0.0
Time: 18.6s
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 r101285 = x;
        double r101286 = y;
        double r101287 = r101285 * r101286;
        double r101288 = z;
        double r101289 = t;
        double r101290 = r101288 * r101289;
        double r101291 = r101287 + r101290;
        double r101292 = a;
        double r101293 = b;
        double r101294 = r101292 * r101293;
        double r101295 = r101291 + r101294;
        double r101296 = c;
        double r101297 = i;
        double r101298 = r101296 * r101297;
        double r101299 = r101295 + r101298;
        return r101299;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r101300 = c;
        double r101301 = i;
        double r101302 = r101300 * r101301;
        double r101303 = z;
        double r101304 = t;
        double r101305 = r101303 * r101304;
        double r101306 = x;
        double r101307 = y;
        double r101308 = r101306 * r101307;
        double r101309 = r101305 + r101308;
        double r101310 = a;
        double r101311 = b;
        double r101312 = r101310 * r101311;
        double r101313 = r101309 + r101312;
        double r101314 = r101302 + r101313;
        return r101314;
}

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, C"
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))