Average Error: 0.1 → 0.1
Time: 11.5s
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 r261070 = x;
        double r261071 = y;
        double r261072 = r261070 * r261071;
        double r261073 = z;
        double r261074 = t;
        double r261075 = r261073 * r261074;
        double r261076 = 16.0;
        double r261077 = r261075 / r261076;
        double r261078 = r261072 + r261077;
        double r261079 = a;
        double r261080 = b;
        double r261081 = r261079 * r261080;
        double r261082 = 4.0;
        double r261083 = r261081 / r261082;
        double r261084 = r261078 - r261083;
        double r261085 = c;
        double r261086 = r261084 + r261085;
        return r261086;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r261087 = x;
        double r261088 = y;
        double r261089 = r261087 * r261088;
        double r261090 = z;
        double r261091 = t;
        double r261092 = r261090 * r261091;
        double r261093 = 16.0;
        double r261094 = r261092 / r261093;
        double r261095 = r261089 + r261094;
        double r261096 = a;
        double r261097 = b;
        double r261098 = r261096 * r261097;
        double r261099 = 4.0;
        double r261100 = r261098 / r261099;
        double r261101 = r261095 - r261100;
        double r261102 = c;
        double r261103 = r261101 + r261102;
        return r261103;
}

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 2020034 
(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))