Average Error: 0.0 → 0.0
Time: 18.2s
Precision: 64
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)\]
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
↓
c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r80290 = x;
        double r80291 = y;
        double r80292 = r80290 * r80291;
        double r80293 = z;
        double r80294 = t;
        double r80295 = r80293 * r80294;
        double r80296 = r80292 + r80295;
        double r80297 = a;
        double r80298 = b;
        double r80299 = r80297 * r80298;
        double r80300 = r80296 + r80299;
        double r80301 = c;
        double r80302 = i;
        double r80303 = r80301 * r80302;
        double r80304 = r80300 + r80303;
        return r80304;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r80305 = c;
        double r80306 = i;
        double r80307 = r80305 * r80306;
        double r80308 = z;
        double r80309 = t;
        double r80310 = r80308 * r80309;
        double r80311 = x;
        double r80312 = y;
        double r80313 = r80311 * r80312;
        double r80314 = r80310 + r80313;
        double r80315 = a;
        double r80316 = b;
        double r80317 = r80315 * r80316;
        double r80318 = r80314 + r80317;
        double r80319 = r80307 + r80318;
        return r80319;
}

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

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

Reproduce

herbie shell --seed 2019194 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3"
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))