Average Error: 0.1 → 0.1
Time: 4.6m
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 r323931 = x;
        double r323932 = y;
        double r323933 = r323931 * r323932;
        double r323934 = z;
        double r323935 = t;
        double r323936 = r323934 * r323935;
        double r323937 = 16.0;
        double r323938 = r323936 / r323937;
        double r323939 = r323933 + r323938;
        double r323940 = a;
        double r323941 = b;
        double r323942 = r323940 * r323941;
        double r323943 = 4.0;
        double r323944 = r323942 / r323943;
        double r323945 = r323939 - r323944;
        double r323946 = c;
        double r323947 = r323945 + r323946;
        return r323947;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r323948 = x;
        double r323949 = y;
        double r323950 = r323948 * r323949;
        double r323951 = z;
        double r323952 = t;
        double r323953 = r323951 * r323952;
        double r323954 = 16.0;
        double r323955 = r323953 / r323954;
        double r323956 = r323950 + r323955;
        double r323957 = a;
        double r323958 = b;
        double r323959 = r323957 * r323958;
        double r323960 = 4.0;
        double r323961 = r323959 / r323960;
        double r323962 = r323956 - r323961;
        double r323963 = c;
        double r323964 = r323962 + r323963;
        return r323964;
}

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 2020089 
(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))