Average Error: 0.2 → 0.2
Time: 13.2s
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 r450986 = x;
        double r450987 = y;
        double r450988 = r450986 * r450987;
        double r450989 = z;
        double r450990 = t;
        double r450991 = r450989 * r450990;
        double r450992 = 16.0;
        double r450993 = r450991 / r450992;
        double r450994 = r450988 + r450993;
        double r450995 = a;
        double r450996 = b;
        double r450997 = r450995 * r450996;
        double r450998 = 4.0;
        double r450999 = r450997 / r450998;
        double r451000 = r450994 - r450999;
        double r451001 = c;
        double r451002 = r451000 + r451001;
        return r451002;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r451003 = x;
        double r451004 = y;
        double r451005 = r451003 * r451004;
        double r451006 = z;
        double r451007 = t;
        double r451008 = r451006 * r451007;
        double r451009 = 16.0;
        double r451010 = r451008 / r451009;
        double r451011 = r451005 + r451010;
        double r451012 = a;
        double r451013 = b;
        double r451014 = r451012 * r451013;
        double r451015 = 4.0;
        double r451016 = r451014 / r451015;
        double r451017 = r451011 - r451016;
        double r451018 = c;
        double r451019 = r451017 + r451018;
        return r451019;
}

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 2020042 
(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))