Average Error: 0.0 → 0.0
Time: 13.3s
Precision: 64
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
↓
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r106273 = x;
        double r106274 = y;
        double r106275 = r106273 * r106274;
        double r106276 = z;
        double r106277 = t;
        double r106278 = r106276 * r106277;
        double r106279 = r106275 + r106278;
        double r106280 = a;
        double r106281 = b;
        double r106282 = r106280 * r106281;
        double r106283 = r106279 + r106282;
        double r106284 = c;
        double r106285 = i;
        double r106286 = r106284 * r106285;
        double r106287 = r106283 + r106286;
        return r106287;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r106288 = x;
        double r106289 = y;
        double r106290 = r106288 * r106289;
        double r106291 = z;
        double r106292 = t;
        double r106293 = r106291 * r106292;
        double r106294 = r106290 + r106293;
        double r106295 = a;
        double r106296 = b;
        double r106297 = r106295 * r106296;
        double r106298 = r106294 + r106297;
        double r106299 = c;
        double r106300 = i;
        double r106301 = r106299 * r106300;
        double r106302 = r106298 + r106301;
        return r106302;
}

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

Bits error versus i

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]

  2. Final simplification0.0

    \[\leadsto \left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]

Reproduce

herbie shell --seed 2019308 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3, C"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))