Average Error: 0.0 → 0.0
Time: 18.2s
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 r112185 = x;
        double r112186 = y;
        double r112187 = r112185 * r112186;
        double r112188 = z;
        double r112189 = t;
        double r112190 = r112188 * r112189;
        double r112191 = r112187 + r112190;
        double r112192 = a;
        double r112193 = b;
        double r112194 = r112192 * r112193;
        double r112195 = r112191 + r112194;
        double r112196 = c;
        double r112197 = i;
        double r112198 = r112196 * r112197;
        double r112199 = r112195 + r112198;
        return r112199;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r112200 = x;
        double r112201 = y;
        double r112202 = r112200 * r112201;
        double r112203 = z;
        double r112204 = t;
        double r112205 = r112203 * r112204;
        double r112206 = r112202 + r112205;
        double r112207 = a;
        double r112208 = b;
        double r112209 = r112207 * r112208;
        double r112210 = r112206 + r112209;
        double r112211 = c;
        double r112212 = i;
        double r112213 = r112211 * r112212;
        double r112214 = r112210 + r112213;
        return r112214;
}

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 2019322 
(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)))