Average Error: 0.0 → 0.0
Time: 18.7s
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 r84253 = x;
        double r84254 = y;
        double r84255 = r84253 * r84254;
        double r84256 = z;
        double r84257 = t;
        double r84258 = r84256 * r84257;
        double r84259 = r84255 + r84258;
        double r84260 = a;
        double r84261 = b;
        double r84262 = r84260 * r84261;
        double r84263 = r84259 + r84262;
        double r84264 = c;
        double r84265 = i;
        double r84266 = r84264 * r84265;
        double r84267 = r84263 + r84266;
        return r84267;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r84268 = x;
        double r84269 = y;
        double r84270 = r84268 * r84269;
        double r84271 = z;
        double r84272 = t;
        double r84273 = r84271 * r84272;
        double r84274 = r84270 + r84273;
        double r84275 = a;
        double r84276 = b;
        double r84277 = r84275 * r84276;
        double r84278 = r84274 + r84277;
        double r84279 = c;
        double r84280 = i;
        double r84281 = r84279 * r84280;
        double r84282 = r84278 + r84281;
        return r84282;
}

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 2019325 
(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)))