Average Error: 0.2 → 0.2
Time: 3.6s
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 r267707 = x;
        double r267708 = y;
        double r267709 = r267707 * r267708;
        double r267710 = z;
        double r267711 = t;
        double r267712 = r267710 * r267711;
        double r267713 = 16.0;
        double r267714 = r267712 / r267713;
        double r267715 = r267709 + r267714;
        double r267716 = a;
        double r267717 = b;
        double r267718 = r267716 * r267717;
        double r267719 = 4.0;
        double r267720 = r267718 / r267719;
        double r267721 = r267715 - r267720;
        double r267722 = c;
        double r267723 = r267721 + r267722;
        return r267723;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r267724 = x;
        double r267725 = y;
        double r267726 = r267724 * r267725;
        double r267727 = z;
        double r267728 = t;
        double r267729 = r267727 * r267728;
        double r267730 = 16.0;
        double r267731 = r267729 / r267730;
        double r267732 = r267726 + r267731;
        double r267733 = a;
        double r267734 = b;
        double r267735 = r267733 * r267734;
        double r267736 = 4.0;
        double r267737 = r267735 / r267736;
        double r267738 = r267732 - r267737;
        double r267739 = c;
        double r267740 = r267738 + r267739;
        return r267740;
}

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 2020049 
(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))