Average Error: 0.0 → 0.0
Time: 31.8s
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 r83286 = x;
        double r83287 = y;
        double r83288 = r83286 * r83287;
        double r83289 = z;
        double r83290 = t;
        double r83291 = r83289 * r83290;
        double r83292 = r83288 + r83291;
        double r83293 = a;
        double r83294 = b;
        double r83295 = r83293 * r83294;
        double r83296 = r83292 + r83295;
        double r83297 = c;
        double r83298 = i;
        double r83299 = r83297 * r83298;
        double r83300 = r83296 + r83299;
        return r83300;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r83301 = x;
        double r83302 = y;
        double r83303 = r83301 * r83302;
        double r83304 = z;
        double r83305 = t;
        double r83306 = r83304 * r83305;
        double r83307 = r83303 + r83306;
        double r83308 = a;
        double r83309 = b;
        double r83310 = r83308 * r83309;
        double r83311 = r83307 + r83310;
        double r83312 = c;
        double r83313 = i;
        double r83314 = r83312 * r83313;
        double r83315 = r83311 + r83314;
        return r83315;
}

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 2019303 
(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)))