Average Error: 0.0 → 0.0
Time: 7.7s
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 r83219 = x;
        double r83220 = y;
        double r83221 = r83219 * r83220;
        double r83222 = z;
        double r83223 = t;
        double r83224 = r83222 * r83223;
        double r83225 = r83221 + r83224;
        double r83226 = a;
        double r83227 = b;
        double r83228 = r83226 * r83227;
        double r83229 = r83225 + r83228;
        double r83230 = c;
        double r83231 = i;
        double r83232 = r83230 * r83231;
        double r83233 = r83229 + r83232;
        return r83233;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r83234 = x;
        double r83235 = y;
        double r83236 = r83234 * r83235;
        double r83237 = z;
        double r83238 = t;
        double r83239 = r83237 * r83238;
        double r83240 = r83236 + r83239;
        double r83241 = a;
        double r83242 = b;
        double r83243 = r83241 * r83242;
        double r83244 = r83240 + r83243;
        double r83245 = c;
        double r83246 = i;
        double r83247 = r83245 * r83246;
        double r83248 = r83244 + r83247;
        return r83248;
}

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 2019323 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3, C"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))