Average Error: 0.0 → 0.0
Time: 18.2s
Precision: 64
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[\left(x \cdot y + z \cdot t\right) + \left(a \cdot b + c \cdot i\right)\]
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
↓
\left(x \cdot y + z \cdot t\right) + \left(a \cdot b + c \cdot i\right)
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r86411 = x;
        double r86412 = y;
        double r86413 = r86411 * r86412;
        double r86414 = z;
        double r86415 = t;
        double r86416 = r86414 * r86415;
        double r86417 = r86413 + r86416;
        double r86418 = a;
        double r86419 = b;
        double r86420 = r86418 * r86419;
        double r86421 = r86417 + r86420;
        double r86422 = c;
        double r86423 = i;
        double r86424 = r86422 * r86423;
        double r86425 = r86421 + r86424;
        return r86425;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r86426 = x;
        double r86427 = y;
        double r86428 = r86426 * r86427;
        double r86429 = z;
        double r86430 = t;
        double r86431 = r86429 * r86430;
        double r86432 = r86428 + r86431;
        double r86433 = a;
        double r86434 = b;
        double r86435 = r86433 * r86434;
        double r86436 = c;
        double r86437 = i;
        double r86438 = r86436 * r86437;
        double r86439 = r86435 + r86438;
        double r86440 = r86432 + r86439;
        return r86440;
}

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. Using strategy rm

  3. Applied associate-+l+0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019195 
(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)))