Average Error: 0.1 → 0.1
Time: 5.3s
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 r205248 = x;
        double r205249 = y;
        double r205250 = r205248 * r205249;
        double r205251 = z;
        double r205252 = t;
        double r205253 = r205251 * r205252;
        double r205254 = 16.0;
        double r205255 = r205253 / r205254;
        double r205256 = r205250 + r205255;
        double r205257 = a;
        double r205258 = b;
        double r205259 = r205257 * r205258;
        double r205260 = 4.0;
        double r205261 = r205259 / r205260;
        double r205262 = r205256 - r205261;
        double r205263 = c;
        double r205264 = r205262 + r205263;
        return r205264;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r205265 = x;
        double r205266 = y;
        double r205267 = r205265 * r205266;
        double r205268 = z;
        double r205269 = t;
        double r205270 = r205268 * r205269;
        double r205271 = 16.0;
        double r205272 = r205270 / r205271;
        double r205273 = r205267 + r205272;
        double r205274 = a;
        double r205275 = b;
        double r205276 = r205274 * r205275;
        double r205277 = 4.0;
        double r205278 = r205276 / r205277;
        double r205279 = r205273 - r205278;
        double r205280 = c;
        double r205281 = r205279 + r205280;
        return r205281;
}

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 2020003 
(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))