Average Error: 0.0 → 0.0
Time: 5.7s
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 r137053 = x;
        double r137054 = y;
        double r137055 = r137053 * r137054;
        double r137056 = z;
        double r137057 = t;
        double r137058 = r137056 * r137057;
        double r137059 = r137055 + r137058;
        double r137060 = a;
        double r137061 = b;
        double r137062 = r137060 * r137061;
        double r137063 = r137059 + r137062;
        double r137064 = c;
        double r137065 = i;
        double r137066 = r137064 * r137065;
        double r137067 = r137063 + r137066;
        return r137067;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r137068 = x;
        double r137069 = y;
        double r137070 = r137068 * r137069;
        double r137071 = z;
        double r137072 = t;
        double r137073 = r137071 * r137072;
        double r137074 = r137070 + r137073;
        double r137075 = a;
        double r137076 = b;
        double r137077 = r137075 * r137076;
        double r137078 = r137074 + r137077;
        double r137079 = c;
        double r137080 = i;
        double r137081 = r137079 * r137080;
        double r137082 = r137078 + r137081;
        return r137082;
}

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 2020060 
(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)))