Average Error: 0.0 → 0.0
Time: 2.4m
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 r94150 = x;
        double r94151 = y;
        double r94152 = r94150 * r94151;
        double r94153 = z;
        double r94154 = t;
        double r94155 = r94153 * r94154;
        double r94156 = r94152 + r94155;
        double r94157 = a;
        double r94158 = b;
        double r94159 = r94157 * r94158;
        double r94160 = r94156 + r94159;
        double r94161 = c;
        double r94162 = i;
        double r94163 = r94161 * r94162;
        double r94164 = r94160 + r94163;
        return r94164;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r94165 = x;
        double r94166 = y;
        double r94167 = r94165 * r94166;
        double r94168 = z;
        double r94169 = t;
        double r94170 = r94168 * r94169;
        double r94171 = r94167 + r94170;
        double r94172 = a;
        double r94173 = b;
        double r94174 = r94172 * r94173;
        double r94175 = r94171 + r94174;
        double r94176 = c;
        double r94177 = i;
        double r94178 = r94176 * r94177;
        double r94179 = r94175 + r94178;
        return r94179;
}

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 2019294 
(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)))