Average Error: 0.0 → 0.0
Time: 6.8m
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 r5620403 = x;
        double r5620404 = y;
        double r5620405 = r5620403 * r5620404;
        double r5620406 = z;
        double r5620407 = t;
        double r5620408 = r5620406 * r5620407;
        double r5620409 = r5620405 + r5620408;
        double r5620410 = a;
        double r5620411 = b;
        double r5620412 = r5620410 * r5620411;
        double r5620413 = r5620409 + r5620412;
        double r5620414 = c;
        double r5620415 = i;
        double r5620416 = r5620414 * r5620415;
        double r5620417 = r5620413 + r5620416;
        return r5620417;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r5620418 = c;
        double r5620419 = i;
        double r5620420 = r5620418 * r5620419;
        double r5620421 = z;
        double r5620422 = t;
        double r5620423 = r5620421 * r5620422;
        double r5620424 = x;
        double r5620425 = y;
        double r5620426 = r5620424 * r5620425;
        double r5620427 = r5620423 + r5620426;
        double r5620428 = a;
        double r5620429 = b;
        double r5620430 = r5620428 * r5620429;
        double r5620431 = r5620427 + r5620430;
        double r5620432 = r5620420 + r5620431;
        return r5620432;
}

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 2019179 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3, C"
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))