Average Error: 0.1 → 0.1
Time: 20.5s
Precision: 64
\[\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c\]
↓
\[\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c\]
\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c
↓
\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r150144 = x;
        double r150145 = y;
        double r150146 = r150144 * r150145;
        double r150147 = z;
        double r150148 = t;
        double r150149 = r150147 * r150148;
        double r150150 = 16.0;
        double r150151 = r150149 / r150150;
        double r150152 = r150146 + r150151;
        double r150153 = a;
        double r150154 = b;
        double r150155 = r150153 * r150154;
        double r150156 = 4.0;
        double r150157 = r150155 / r150156;
        double r150158 = r150152 - r150157;
        double r150159 = c;
        double r150160 = r150158 + r150159;
        return r150160;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r150161 = x;
        double r150162 = y;
        double r150163 = r150161 * r150162;
        double r150164 = z;
        double r150165 = t;
        double r150166 = r150164 * r150165;
        double r150167 = 16.0;
        double r150168 = r150166 / r150167;
        double r150169 = r150163 + r150168;
        double r150170 = a;
        double r150171 = b;
        double r150172 = r150170 * r150171;
        double r150173 = 4.0;
        double r150174 = r150172 / r150173;
        double r150175 = r150169 - r150174;
        double r150176 = c;
        double r150177 = r150175 + r150176;
        return r150177;
}

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

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c\]

  2. Final simplification0.1

    \[\leadsto \left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c\]

Reproduce

herbie shell --seed 2019305 
(FPCore (x y z t a b c)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, C"
  :precision binary64
  (+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c))