Average Error: 0.0 → 0.0
Time: 6.1s
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 r130146 = x;
        double r130147 = y;
        double r130148 = r130146 * r130147;
        double r130149 = z;
        double r130150 = t;
        double r130151 = r130149 * r130150;
        double r130152 = r130148 + r130151;
        double r130153 = a;
        double r130154 = b;
        double r130155 = r130153 * r130154;
        double r130156 = r130152 + r130155;
        double r130157 = c;
        double r130158 = i;
        double r130159 = r130157 * r130158;
        double r130160 = r130156 + r130159;
        return r130160;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r130161 = x;
        double r130162 = y;
        double r130163 = r130161 * r130162;
        double r130164 = z;
        double r130165 = t;
        double r130166 = r130164 * r130165;
        double r130167 = r130163 + r130166;
        double r130168 = a;
        double r130169 = b;
        double r130170 = r130168 * r130169;
        double r130171 = r130167 + r130170;
        double r130172 = c;
        double r130173 = i;
        double r130174 = r130172 * r130173;
        double r130175 = r130171 + r130174;
        return r130175;
}

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 2020081 
(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)))