Average Error: 0.0 → 0.0
Time: 22.7s
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 r108396 = x;
        double r108397 = y;
        double r108398 = r108396 * r108397;
        double r108399 = z;
        double r108400 = t;
        double r108401 = r108399 * r108400;
        double r108402 = r108398 + r108401;
        double r108403 = a;
        double r108404 = b;
        double r108405 = r108403 * r108404;
        double r108406 = r108402 + r108405;
        double r108407 = c;
        double r108408 = i;
        double r108409 = r108407 * r108408;
        double r108410 = r108406 + r108409;
        return r108410;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r108411 = x;
        double r108412 = y;
        double r108413 = r108411 * r108412;
        double r108414 = z;
        double r108415 = t;
        double r108416 = r108414 * r108415;
        double r108417 = r108413 + r108416;
        double r108418 = a;
        double r108419 = b;
        double r108420 = r108418 * r108419;
        double r108421 = r108417 + r108420;
        double r108422 = c;
        double r108423 = i;
        double r108424 = r108422 * r108423;
        double r108425 = r108421 + r108424;
        return r108425;
}

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 2019304 
(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)))