Average Error: 0.0 → 0.0
Time: 13.3s
Precision: 64
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)\]
\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 r2389299 = x;
        double r2389300 = y;
        double r2389301 = r2389299 * r2389300;
        double r2389302 = z;
        double r2389303 = t;
        double r2389304 = r2389302 * r2389303;
        double r2389305 = r2389301 + r2389304;
        double r2389306 = a;
        double r2389307 = b;
        double r2389308 = r2389306 * r2389307;
        double r2389309 = r2389305 + r2389308;
        double r2389310 = c;
        double r2389311 = i;
        double r2389312 = r2389310 * r2389311;
        double r2389313 = r2389309 + r2389312;
        return r2389313;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r2389314 = c;
        double r2389315 = i;
        double r2389316 = r2389314 * r2389315;
        double r2389317 = z;
        double r2389318 = t;
        double r2389319 = r2389317 * r2389318;
        double r2389320 = x;
        double r2389321 = y;
        double r2389322 = r2389320 * r2389321;
        double r2389323 = r2389319 + r2389322;
        double r2389324 = a;
        double r2389325 = b;
        double r2389326 = r2389324 * r2389325;
        double r2389327 = r2389323 + r2389326;
        double r2389328 = r2389316 + r2389327;
        return r2389328;
}

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 2019135 
(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)))