Average Error: 0.0 → 0.0
Time: 6.1s
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 r142315 = x;
        double r142316 = y;
        double r142317 = r142315 * r142316;
        double r142318 = z;
        double r142319 = t;
        double r142320 = r142318 * r142319;
        double r142321 = r142317 + r142320;
        double r142322 = a;
        double r142323 = b;
        double r142324 = r142322 * r142323;
        double r142325 = r142321 + r142324;
        double r142326 = c;
        double r142327 = i;
        double r142328 = r142326 * r142327;
        double r142329 = r142325 + r142328;
        return r142329;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r142330 = x;
        double r142331 = y;
        double r142332 = r142330 * r142331;
        double r142333 = z;
        double r142334 = t;
        double r142335 = r142333 * r142334;
        double r142336 = r142332 + r142335;
        double r142337 = a;
        double r142338 = b;
        double r142339 = r142337 * r142338;
        double r142340 = r142336 + r142339;
        double r142341 = c;
        double r142342 = i;
        double r142343 = r142341 * r142342;
        double r142344 = r142340 + r142343;
        return r142344;
}

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 2020060 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3, C"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))