Average Error: 0.0 → 0.0
Time: 1.4m
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 r21516225 = x;
        double r21516226 = y;
        double r21516227 = r21516225 * r21516226;
        double r21516228 = z;
        double r21516229 = t;
        double r21516230 = r21516228 * r21516229;
        double r21516231 = r21516227 + r21516230;
        double r21516232 = a;
        double r21516233 = b;
        double r21516234 = r21516232 * r21516233;
        double r21516235 = r21516231 + r21516234;
        double r21516236 = c;
        double r21516237 = i;
        double r21516238 = r21516236 * r21516237;
        double r21516239 = r21516235 + r21516238;
        return r21516239;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r21516240 = c;
        double r21516241 = i;
        double r21516242 = r21516240 * r21516241;
        double r21516243 = z;
        double r21516244 = t;
        double r21516245 = r21516243 * r21516244;
        double r21516246 = x;
        double r21516247 = y;
        double r21516248 = r21516246 * r21516247;
        double r21516249 = r21516245 + r21516248;
        double r21516250 = a;
        double r21516251 = b;
        double r21516252 = r21516250 * r21516251;
        double r21516253 = r21516249 + r21516252;
        double r21516254 = r21516242 + r21516253;
        return r21516254;
}

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 2019120 
(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)))