Average Error: 0.0 → 0.0
Time: 6.4s
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 r80463 = x;
        double r80464 = y;
        double r80465 = r80463 * r80464;
        double r80466 = z;
        double r80467 = t;
        double r80468 = r80466 * r80467;
        double r80469 = r80465 + r80468;
        double r80470 = a;
        double r80471 = b;
        double r80472 = r80470 * r80471;
        double r80473 = r80469 + r80472;
        double r80474 = c;
        double r80475 = i;
        double r80476 = r80474 * r80475;
        double r80477 = r80473 + r80476;
        return r80477;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r80478 = x;
        double r80479 = y;
        double r80480 = r80478 * r80479;
        double r80481 = z;
        double r80482 = t;
        double r80483 = r80481 * r80482;
        double r80484 = r80480 + r80483;
        double r80485 = a;
        double r80486 = b;
        double r80487 = r80485 * r80486;
        double r80488 = r80484 + r80487;
        double r80489 = c;
        double r80490 = i;
        double r80491 = r80489 * r80490;
        double r80492 = r80488 + r80491;
        return r80492;
}

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 2019362 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))