Average Error: 0.2 → 0.2
Time: 10.9s
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 r318985 = x;
        double r318986 = y;
        double r318987 = r318985 * r318986;
        double r318988 = z;
        double r318989 = t;
        double r318990 = r318988 * r318989;
        double r318991 = 16.0;
        double r318992 = r318990 / r318991;
        double r318993 = r318987 + r318992;
        double r318994 = a;
        double r318995 = b;
        double r318996 = r318994 * r318995;
        double r318997 = 4.0;
        double r318998 = r318996 / r318997;
        double r318999 = r318993 - r318998;
        double r319000 = c;
        double r319001 = r318999 + r319000;
        return r319001;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r319002 = x;
        double r319003 = y;
        double r319004 = r319002 * r319003;
        double r319005 = z;
        double r319006 = t;
        double r319007 = r319005 * r319006;
        double r319008 = 16.0;
        double r319009 = r319007 / r319008;
        double r319010 = r319004 + r319009;
        double r319011 = a;
        double r319012 = b;
        double r319013 = r319011 * r319012;
        double r319014 = 4.0;
        double r319015 = r319013 / r319014;
        double r319016 = r319010 - r319015;
        double r319017 = c;
        double r319018 = r319016 + r319017;
        return r319018;
}

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 2020036 
(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))