Average Error: 0.0 → 0.0
Time: 2.9s
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 r65120 = x;
        double r65121 = y;
        double r65122 = r65120 * r65121;
        double r65123 = z;
        double r65124 = t;
        double r65125 = r65123 * r65124;
        double r65126 = r65122 + r65125;
        double r65127 = a;
        double r65128 = b;
        double r65129 = r65127 * r65128;
        double r65130 = r65126 + r65129;
        double r65131 = c;
        double r65132 = i;
        double r65133 = r65131 * r65132;
        double r65134 = r65130 + r65133;
        return r65134;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r65135 = x;
        double r65136 = y;
        double r65137 = r65135 * r65136;
        double r65138 = z;
        double r65139 = t;
        double r65140 = r65138 * r65139;
        double r65141 = r65137 + r65140;
        double r65142 = a;
        double r65143 = b;
        double r65144 = r65142 * r65143;
        double r65145 = r65141 + r65144;
        double r65146 = c;
        double r65147 = i;
        double r65148 = r65146 * r65147;
        double r65149 = r65145 + r65148;
        return r65149;
}

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 2020057 
(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)))