Average Error: 0.1 → 0.1
Time: 8.1s
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 r159234 = x;
        double r159235 = y;
        double r159236 = r159234 * r159235;
        double r159237 = z;
        double r159238 = t;
        double r159239 = r159237 * r159238;
        double r159240 = 16.0;
        double r159241 = r159239 / r159240;
        double r159242 = r159236 + r159241;
        double r159243 = a;
        double r159244 = b;
        double r159245 = r159243 * r159244;
        double r159246 = 4.0;
        double r159247 = r159245 / r159246;
        double r159248 = r159242 - r159247;
        double r159249 = c;
        double r159250 = r159248 + r159249;
        return r159250;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r159251 = x;
        double r159252 = y;
        double r159253 = r159251 * r159252;
        double r159254 = z;
        double r159255 = t;
        double r159256 = r159254 * r159255;
        double r159257 = 16.0;
        double r159258 = r159256 / r159257;
        double r159259 = r159253 + r159258;
        double r159260 = a;
        double r159261 = b;
        double r159262 = r159260 * r159261;
        double r159263 = 4.0;
        double r159264 = r159262 / r159263;
        double r159265 = r159259 - r159264;
        double r159266 = c;
        double r159267 = r159265 + r159266;
        return r159267;
}

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 1978988140 
(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))