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 r90210 = x;
        double r90211 = y;
        double r90212 = r90210 * r90211;
        double r90213 = z;
        double r90214 = t;
        double r90215 = r90213 * r90214;
        double r90216 = r90212 + r90215;
        double r90217 = a;
        double r90218 = b;
        double r90219 = r90217 * r90218;
        double r90220 = r90216 + r90219;
        double r90221 = c;
        double r90222 = i;
        double r90223 = r90221 * r90222;
        double r90224 = r90220 + r90223;
        return r90224;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r90225 = x;
        double r90226 = y;
        double r90227 = r90225 * r90226;
        double r90228 = z;
        double r90229 = t;
        double r90230 = r90228 * r90229;
        double r90231 = r90227 + r90230;
        double r90232 = a;
        double r90233 = b;
        double r90234 = r90232 * r90233;
        double r90235 = i;
        double r90236 = c;
        double r90237 = r90235 * r90236;
        double r90238 = r90234 + r90237;
        double r90239 = r90231 + r90238;
        return r90239;
}

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"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))