Average Error: 0.1 → 0.1
Time: 6.5s
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 r271223 = x;
        double r271224 = y;
        double r271225 = r271223 * r271224;
        double r271226 = z;
        double r271227 = t;
        double r271228 = r271226 * r271227;
        double r271229 = 16.0;
        double r271230 = r271228 / r271229;
        double r271231 = r271225 + r271230;
        double r271232 = a;
        double r271233 = b;
        double r271234 = r271232 * r271233;
        double r271235 = 4.0;
        double r271236 = r271234 / r271235;
        double r271237 = r271231 - r271236;
        double r271238 = c;
        double r271239 = r271237 + r271238;
        return r271239;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r271240 = x;
        double r271241 = y;
        double r271242 = r271240 * r271241;
        double r271243 = z;
        double r271244 = t;
        double r271245 = r271243 * r271244;
        double r271246 = 16.0;
        double r271247 = r271245 / r271246;
        double r271248 = r271242 + r271247;
        double r271249 = a;
        double r271250 = b;
        double r271251 = r271249 * r271250;
        double r271252 = 4.0;
        double r271253 = r271251 / r271252;
        double r271254 = r271248 - r271253;
        double r271255 = c;
        double r271256 = r271254 + r271255;
        return r271256;
}

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 2020047 
(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))