Average Error: 0.0 → 0.0
Time: 43.4s
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 r130127 = x;
        double r130128 = y;
        double r130129 = r130127 * r130128;
        double r130130 = z;
        double r130131 = t;
        double r130132 = r130130 * r130131;
        double r130133 = r130129 + r130132;
        double r130134 = a;
        double r130135 = b;
        double r130136 = r130134 * r130135;
        double r130137 = r130133 + r130136;
        double r130138 = c;
        double r130139 = i;
        double r130140 = r130138 * r130139;
        double r130141 = r130137 + r130140;
        return r130141;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r130142 = x;
        double r130143 = y;
        double r130144 = r130142 * r130143;
        double r130145 = z;
        double r130146 = t;
        double r130147 = r130145 * r130146;
        double r130148 = r130144 + r130147;
        double r130149 = a;
        double r130150 = b;
        double r130151 = r130149 * r130150;
        double r130152 = r130148 + r130151;
        double r130153 = c;
        double r130154 = i;
        double r130155 = r130153 * r130154;
        double r130156 = r130152 + r130155;
        return r130156;
}

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 2019326 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))