Average Error: 0.2 → 0.2
Time: 3.5s
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 r235964 = x;
        double r235965 = y;
        double r235966 = r235964 * r235965;
        double r235967 = z;
        double r235968 = t;
        double r235969 = r235967 * r235968;
        double r235970 = 16.0;
        double r235971 = r235969 / r235970;
        double r235972 = r235966 + r235971;
        double r235973 = a;
        double r235974 = b;
        double r235975 = r235973 * r235974;
        double r235976 = 4.0;
        double r235977 = r235975 / r235976;
        double r235978 = r235972 - r235977;
        double r235979 = c;
        double r235980 = r235978 + r235979;
        return r235980;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r235981 = x;
        double r235982 = y;
        double r235983 = r235981 * r235982;
        double r235984 = z;
        double r235985 = t;
        double r235986 = r235984 * r235985;
        double r235987 = 16.0;
        double r235988 = r235986 / r235987;
        double r235989 = r235983 + r235988;
        double r235990 = a;
        double r235991 = b;
        double r235992 = r235990 * r235991;
        double r235993 = 4.0;
        double r235994 = r235992 / r235993;
        double r235995 = r235989 - r235994;
        double r235996 = c;
        double r235997 = r235995 + r235996;
        return r235997;
}

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. Final simplification0.2

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

Reproduce

herbie shell --seed 2020039 
(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))