Average Error: 0.0 → 0.0
Time: 20.5s
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 r6354216 = x;
        double r6354217 = y;
        double r6354218 = r6354216 * r6354217;
        double r6354219 = z;
        double r6354220 = t;
        double r6354221 = r6354219 * r6354220;
        double r6354222 = r6354218 + r6354221;
        double r6354223 = a;
        double r6354224 = b;
        double r6354225 = r6354223 * r6354224;
        double r6354226 = r6354222 + r6354225;
        double r6354227 = c;
        double r6354228 = i;
        double r6354229 = r6354227 * r6354228;
        double r6354230 = r6354226 + r6354229;
        return r6354230;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r6354231 = c;
        double r6354232 = i;
        double r6354233 = r6354231 * r6354232;
        double r6354234 = z;
        double r6354235 = t;
        double r6354236 = r6354234 * r6354235;
        double r6354237 = x;
        double r6354238 = y;
        double r6354239 = r6354237 * r6354238;
        double r6354240 = r6354236 + r6354239;
        double r6354241 = a;
        double r6354242 = b;
        double r6354243 = r6354241 * r6354242;
        double r6354244 = r6354240 + r6354243;
        double r6354245 = r6354233 + r6354244;
        return r6354245;
}

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 2019174 
(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)))