Average Error: 0.1 → 0.1
Time: 7.1s
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 r199983 = x;
        double r199984 = y;
        double r199985 = r199983 * r199984;
        double r199986 = z;
        double r199987 = t;
        double r199988 = r199986 * r199987;
        double r199989 = 16.0;
        double r199990 = r199988 / r199989;
        double r199991 = r199985 + r199990;
        double r199992 = a;
        double r199993 = b;
        double r199994 = r199992 * r199993;
        double r199995 = 4.0;
        double r199996 = r199994 / r199995;
        double r199997 = r199991 - r199996;
        double r199998 = c;
        double r199999 = r199997 + r199998;
        return r199999;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r200000 = x;
        double r200001 = y;
        double r200002 = r200000 * r200001;
        double r200003 = z;
        double r200004 = t;
        double r200005 = r200003 * r200004;
        double r200006 = 16.0;
        double r200007 = r200005 / r200006;
        double r200008 = r200002 + r200007;
        double r200009 = a;
        double r200010 = b;
        double r200011 = r200009 * r200010;
        double r200012 = 4.0;
        double r200013 = r200011 / r200012;
        double r200014 = r200008 - r200013;
        double r200015 = c;
        double r200016 = r200014 + r200015;
        return r200016;
}

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 2020064 
(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))