Average Error: 0.0 → 0.0
Time: 17.3s
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 r127285 = x;
        double r127286 = y;
        double r127287 = r127285 * r127286;
        double r127288 = z;
        double r127289 = t;
        double r127290 = r127288 * r127289;
        double r127291 = r127287 + r127290;
        double r127292 = a;
        double r127293 = b;
        double r127294 = r127292 * r127293;
        double r127295 = r127291 + r127294;
        double r127296 = c;
        double r127297 = i;
        double r127298 = r127296 * r127297;
        double r127299 = r127295 + r127298;
        return r127299;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r127300 = x;
        double r127301 = y;
        double r127302 = r127300 * r127301;
        double r127303 = z;
        double r127304 = t;
        double r127305 = r127303 * r127304;
        double r127306 = r127302 + r127305;
        double r127307 = a;
        double r127308 = b;
        double r127309 = r127307 * r127308;
        double r127310 = r127306 + r127309;
        double r127311 = c;
        double r127312 = i;
        double r127313 = r127311 * r127312;
        double r127314 = r127310 + r127313;
        return r127314;
}

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 2020047 
(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)))