Average Error: 0.0 → 0.0
Time: 2.8m
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 r3651236 = x;
        double r3651237 = y;
        double r3651238 = r3651236 * r3651237;
        double r3651239 = z;
        double r3651240 = t;
        double r3651241 = r3651239 * r3651240;
        double r3651242 = r3651238 + r3651241;
        double r3651243 = a;
        double r3651244 = b;
        double r3651245 = r3651243 * r3651244;
        double r3651246 = r3651242 + r3651245;
        double r3651247 = c;
        double r3651248 = i;
        double r3651249 = r3651247 * r3651248;
        double r3651250 = r3651246 + r3651249;
        return r3651250;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r3651251 = c;
        double r3651252 = i;
        double r3651253 = r3651251 * r3651252;
        double r3651254 = z;
        double r3651255 = t;
        double r3651256 = r3651254 * r3651255;
        double r3651257 = x;
        double r3651258 = y;
        double r3651259 = r3651257 * r3651258;
        double r3651260 = r3651256 + r3651259;
        double r3651261 = a;
        double r3651262 = b;
        double r3651263 = r3651261 * r3651262;
        double r3651264 = r3651260 + r3651263;
        double r3651265 = r3651253 + r3651264;
        return r3651265;
}

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 2019146 
(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)))