Average Error: 0.0 → 0.0
Time: 8.0s
Precision: 64
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[\left(x \cdot y + z \cdot t\right) + \left(a \cdot b + i \cdot c\right)\]
\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 + i \cdot c\right)
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r132472 = x;
        double r132473 = y;
        double r132474 = r132472 * r132473;
        double r132475 = z;
        double r132476 = t;
        double r132477 = r132475 * r132476;
        double r132478 = r132474 + r132477;
        double r132479 = a;
        double r132480 = b;
        double r132481 = r132479 * r132480;
        double r132482 = r132478 + r132481;
        double r132483 = c;
        double r132484 = i;
        double r132485 = r132483 * r132484;
        double r132486 = r132482 + r132485;
        return r132486;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r132487 = x;
        double r132488 = y;
        double r132489 = r132487 * r132488;
        double r132490 = z;
        double r132491 = t;
        double r132492 = r132490 * r132491;
        double r132493 = r132489 + r132492;
        double r132494 = a;
        double r132495 = b;
        double r132496 = r132494 * r132495;
        double r132497 = i;
        double r132498 = c;
        double r132499 = r132497 * r132498;
        double r132500 = r132496 + r132499;
        double r132501 = r132493 + r132500;
        return r132501;
}

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. Simplified0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2019354 
(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)))