Average Error: 0.1 → 0.1
Time: 19.3s
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 r195775 = x;
        double r195776 = y;
        double r195777 = r195775 * r195776;
        double r195778 = z;
        double r195779 = t;
        double r195780 = r195778 * r195779;
        double r195781 = 16.0;
        double r195782 = r195780 / r195781;
        double r195783 = r195777 + r195782;
        double r195784 = a;
        double r195785 = b;
        double r195786 = r195784 * r195785;
        double r195787 = 4.0;
        double r195788 = r195786 / r195787;
        double r195789 = r195783 - r195788;
        double r195790 = c;
        double r195791 = r195789 + r195790;
        return r195791;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r195792 = x;
        double r195793 = y;
        double r195794 = r195792 * r195793;
        double r195795 = z;
        double r195796 = t;
        double r195797 = r195795 * r195796;
        double r195798 = 16.0;
        double r195799 = r195797 / r195798;
        double r195800 = r195794 + r195799;
        double r195801 = a;
        double r195802 = b;
        double r195803 = r195801 * r195802;
        double r195804 = 4.0;
        double r195805 = r195803 / r195804;
        double r195806 = r195800 - r195805;
        double r195807 = c;
        double r195808 = r195806 + r195807;
        return r195808;
}

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 2019209 
(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))