Average Error: 0.1 → 0.1
Time: 1.5s
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 r202249 = x;
        double r202250 = y;
        double r202251 = r202249 * r202250;
        double r202252 = z;
        double r202253 = t;
        double r202254 = r202252 * r202253;
        double r202255 = 16.0;
        double r202256 = r202254 / r202255;
        double r202257 = r202251 + r202256;
        double r202258 = a;
        double r202259 = b;
        double r202260 = r202258 * r202259;
        double r202261 = 4.0;
        double r202262 = r202260 / r202261;
        double r202263 = r202257 - r202262;
        double r202264 = c;
        double r202265 = r202263 + r202264;
        return r202265;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r202266 = x;
        double r202267 = y;
        double r202268 = r202266 * r202267;
        double r202269 = z;
        double r202270 = t;
        double r202271 = r202269 * r202270;
        double r202272 = 16.0;
        double r202273 = r202271 / r202272;
        double r202274 = r202268 + r202273;
        double r202275 = a;
        double r202276 = b;
        double r202277 = r202275 * r202276;
        double r202278 = 4.0;
        double r202279 = r202277 / r202278;
        double r202280 = r202274 - r202279;
        double r202281 = c;
        double r202282 = r202280 + r202281;
        return r202282;
}

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 2020062 
(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))