Average Error: 0.0 → 0.0
Time: 22.1s
Precision: 64
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[\left(x \cdot y + \left(z \cdot t + a \cdot b\right)\right) + c \cdot i\]
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
↓
\left(x \cdot y + \left(z \cdot t + a \cdot b\right)\right) + c \cdot i
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r5202058 = x;
        double r5202059 = y;
        double r5202060 = r5202058 * r5202059;
        double r5202061 = z;
        double r5202062 = t;
        double r5202063 = r5202061 * r5202062;
        double r5202064 = r5202060 + r5202063;
        double r5202065 = a;
        double r5202066 = b;
        double r5202067 = r5202065 * r5202066;
        double r5202068 = r5202064 + r5202067;
        double r5202069 = c;
        double r5202070 = i;
        double r5202071 = r5202069 * r5202070;
        double r5202072 = r5202068 + r5202071;
        return r5202072;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r5202073 = x;
        double r5202074 = y;
        double r5202075 = r5202073 * r5202074;
        double r5202076 = z;
        double r5202077 = t;
        double r5202078 = r5202076 * r5202077;
        double r5202079 = a;
        double r5202080 = b;
        double r5202081 = r5202079 * r5202080;
        double r5202082 = r5202078 + r5202081;
        double r5202083 = r5202075 + r5202082;
        double r5202084 = c;
        double r5202085 = i;
        double r5202086 = r5202084 * r5202085;
        double r5202087 = r5202083 + r5202086;
        return r5202087;
}

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

    \[\leadsto \color{blue}{\left(x \cdot y + \left(z \cdot t + a \cdot b\right)\right)} + c \cdot i\]

  4. Final simplification0.0

    \[\leadsto \left(x \cdot y + \left(z \cdot t + a \cdot b\right)\right) + c \cdot i\]

Reproduce

herbie shell --seed 2019173 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3"
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))