Average Error: 0.2 → 0.0
Time: 18.5s
Precision: 64
\[\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c\]
↓
\[\left(c + x \cdot y\right) + \left(\frac{z}{16} \cdot t - a \cdot \frac{b}{4}\right)\]
\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c
↓
\left(c + x \cdot y\right) + \left(\frac{z}{16} \cdot t - a \cdot \frac{b}{4}\right)
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r201875 = x;
        double r201876 = y;
        double r201877 = r201875 * r201876;
        double r201878 = z;
        double r201879 = t;
        double r201880 = r201878 * r201879;
        double r201881 = 16.0;
        double r201882 = r201880 / r201881;
        double r201883 = r201877 + r201882;
        double r201884 = a;
        double r201885 = b;
        double r201886 = r201884 * r201885;
        double r201887 = 4.0;
        double r201888 = r201886 / r201887;
        double r201889 = r201883 - r201888;
        double r201890 = c;
        double r201891 = r201889 + r201890;
        return r201891;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r201892 = c;
        double r201893 = x;
        double r201894 = y;
        double r201895 = r201893 * r201894;
        double r201896 = r201892 + r201895;
        double r201897 = z;
        double r201898 = 16.0;
        double r201899 = r201897 / r201898;
        double r201900 = t;
        double r201901 = r201899 * r201900;
        double r201902 = a;
        double r201903 = b;
        double r201904 = 4.0;
        double r201905 = r201903 / r201904;
        double r201906 = r201902 * r201905;
        double r201907 = r201901 - r201906;
        double r201908 = r201896 + r201907;
        return r201908;
}

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 0.2

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019174 
(FPCore (x y z t a b c)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, C"
  (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))