Average Error: 0.0 → 0.0
Time: 46.4s
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 r10705225 = x;
        double r10705226 = y;
        double r10705227 = r10705225 * r10705226;
        double r10705228 = z;
        double r10705229 = t;
        double r10705230 = r10705228 * r10705229;
        double r10705231 = r10705227 + r10705230;
        double r10705232 = a;
        double r10705233 = b;
        double r10705234 = r10705232 * r10705233;
        double r10705235 = r10705231 + r10705234;
        double r10705236 = c;
        double r10705237 = i;
        double r10705238 = r10705236 * r10705237;
        double r10705239 = r10705235 + r10705238;
        return r10705239;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r10705240 = c;
        double r10705241 = i;
        double r10705242 = r10705240 * r10705241;
        double r10705243 = z;
        double r10705244 = t;
        double r10705245 = r10705243 * r10705244;
        double r10705246 = x;
        double r10705247 = y;
        double r10705248 = r10705246 * r10705247;
        double r10705249 = r10705245 + r10705248;
        double r10705250 = a;
        double r10705251 = b;
        double r10705252 = r10705250 * r10705251;
        double r10705253 = r10705249 + r10705252;
        double r10705254 = r10705242 + r10705253;
        return r10705254;
}

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 2019158 
(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)))