Average Error: 0.1 → 0.1
Time: 8.2s
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 r263937 = x;
        double r263938 = y;
        double r263939 = r263937 * r263938;
        double r263940 = z;
        double r263941 = t;
        double r263942 = r263940 * r263941;
        double r263943 = 16.0;
        double r263944 = r263942 / r263943;
        double r263945 = r263939 + r263944;
        double r263946 = a;
        double r263947 = b;
        double r263948 = r263946 * r263947;
        double r263949 = 4.0;
        double r263950 = r263948 / r263949;
        double r263951 = r263945 - r263950;
        double r263952 = c;
        double r263953 = r263951 + r263952;
        return r263953;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r263954 = x;
        double r263955 = y;
        double r263956 = r263954 * r263955;
        double r263957 = z;
        double r263958 = t;
        double r263959 = r263957 * r263958;
        double r263960 = 16.0;
        double r263961 = r263959 / r263960;
        double r263962 = r263956 + r263961;
        double r263963 = a;
        double r263964 = b;
        double r263965 = r263963 * r263964;
        double r263966 = 4.0;
        double r263967 = r263965 / r263966;
        double r263968 = r263962 - r263967;
        double r263969 = c;
        double r263970 = r263968 + r263969;
        return r263970;
}

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 2019353 
(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))