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 r103232 = x;
        double r103233 = y;
        double r103234 = r103232 * r103233;
        double r103235 = z;
        double r103236 = t;
        double r103237 = r103235 * r103236;
        double r103238 = r103234 + r103237;
        double r103239 = a;
        double r103240 = b;
        double r103241 = r103239 * r103240;
        double r103242 = r103238 + r103241;
        double r103243 = c;
        double r103244 = i;
        double r103245 = r103243 * r103244;
        double r103246 = r103242 + r103245;
        return r103246;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r103247 = x;
        double r103248 = y;
        double r103249 = r103247 * r103248;
        double r103250 = z;
        double r103251 = t;
        double r103252 = r103250 * r103251;
        double r103253 = r103249 + r103252;
        double r103254 = a;
        double r103255 = b;
        double r103256 = r103254 * r103255;
        double r103257 = r103253 + r103256;
        double r103258 = c;
        double r103259 = i;
        double r103260 = r103258 * r103259;
        double r103261 = r103257 + r103260;
        return r103261;
}

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"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))