Average Error: 0.0 → 0.0
Time: 8.6s
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 r120286 = x;
        double r120287 = y;
        double r120288 = r120286 * r120287;
        double r120289 = z;
        double r120290 = t;
        double r120291 = r120289 * r120290;
        double r120292 = r120288 + r120291;
        double r120293 = a;
        double r120294 = b;
        double r120295 = r120293 * r120294;
        double r120296 = r120292 + r120295;
        double r120297 = c;
        double r120298 = i;
        double r120299 = r120297 * r120298;
        double r120300 = r120296 + r120299;
        return r120300;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r120301 = x;
        double r120302 = y;
        double r120303 = r120301 * r120302;
        double r120304 = z;
        double r120305 = t;
        double r120306 = r120304 * r120305;
        double r120307 = r120303 + r120306;
        double r120308 = a;
        double r120309 = b;
        double r120310 = r120308 * r120309;
        double r120311 = r120307 + r120310;
        double r120312 = c;
        double r120313 = i;
        double r120314 = r120312 * r120313;
        double r120315 = r120311 + r120314;
        return r120315;
}

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 2019322 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))