Average Error: 0.1 → 0.1
Time: 1.6s
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 r228732 = x;
        double r228733 = y;
        double r228734 = r228732 * r228733;
        double r228735 = z;
        double r228736 = t;
        double r228737 = r228735 * r228736;
        double r228738 = 16.0;
        double r228739 = r228737 / r228738;
        double r228740 = r228734 + r228739;
        double r228741 = a;
        double r228742 = b;
        double r228743 = r228741 * r228742;
        double r228744 = 4.0;
        double r228745 = r228743 / r228744;
        double r228746 = r228740 - r228745;
        double r228747 = c;
        double r228748 = r228746 + r228747;
        return r228748;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r228749 = x;
        double r228750 = y;
        double r228751 = r228749 * r228750;
        double r228752 = z;
        double r228753 = t;
        double r228754 = r228752 * r228753;
        double r228755 = 16.0;
        double r228756 = r228754 / r228755;
        double r228757 = r228751 + r228756;
        double r228758 = a;
        double r228759 = b;
        double r228760 = r228758 * r228759;
        double r228761 = 4.0;
        double r228762 = r228760 / r228761;
        double r228763 = r228757 - r228762;
        double r228764 = c;
        double r228765 = r228763 + r228764;
        return r228765;
}

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 2020062 
(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))