Average Error: 0.1 → 0.1
Time: 3.8m
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 r325051 = x;
        double r325052 = y;
        double r325053 = r325051 * r325052;
        double r325054 = z;
        double r325055 = t;
        double r325056 = r325054 * r325055;
        double r325057 = 16.0;
        double r325058 = r325056 / r325057;
        double r325059 = r325053 + r325058;
        double r325060 = a;
        double r325061 = b;
        double r325062 = r325060 * r325061;
        double r325063 = 4.0;
        double r325064 = r325062 / r325063;
        double r325065 = r325059 - r325064;
        double r325066 = c;
        double r325067 = r325065 + r325066;
        return r325067;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r325068 = x;
        double r325069 = y;
        double r325070 = r325068 * r325069;
        double r325071 = z;
        double r325072 = t;
        double r325073 = r325071 * r325072;
        double r325074 = 16.0;
        double r325075 = r325073 / r325074;
        double r325076 = r325070 + r325075;
        double r325077 = a;
        double r325078 = b;
        double r325079 = r325077 * r325078;
        double r325080 = 4.0;
        double r325081 = r325079 / r325080;
        double r325082 = r325076 - r325081;
        double r325083 = c;
        double r325084 = r325082 + r325083;
        return r325084;
}

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 2019362 
(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))