Average Error: 0.0 → 0.0
Time: 6.2s
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 r108183 = x;
        double r108184 = y;
        double r108185 = r108183 * r108184;
        double r108186 = z;
        double r108187 = t;
        double r108188 = r108186 * r108187;
        double r108189 = r108185 + r108188;
        double r108190 = a;
        double r108191 = b;
        double r108192 = r108190 * r108191;
        double r108193 = r108189 + r108192;
        double r108194 = c;
        double r108195 = i;
        double r108196 = r108194 * r108195;
        double r108197 = r108193 + r108196;
        return r108197;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r108198 = x;
        double r108199 = y;
        double r108200 = r108198 * r108199;
        double r108201 = z;
        double r108202 = t;
        double r108203 = r108201 * r108202;
        double r108204 = r108200 + r108203;
        double r108205 = a;
        double r108206 = b;
        double r108207 = r108205 * r108206;
        double r108208 = r108204 + r108207;
        double r108209 = c;
        double r108210 = i;
        double r108211 = r108209 * r108210;
        double r108212 = r108208 + r108211;
        return r108212;
}

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 2020083 
(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)))