Average Error: 0.0 → 0.0
Time: 16.0s
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 r90001 = x;
        double r90002 = y;
        double r90003 = r90001 * r90002;
        double r90004 = z;
        double r90005 = t;
        double r90006 = r90004 * r90005;
        double r90007 = r90003 + r90006;
        double r90008 = a;
        double r90009 = b;
        double r90010 = r90008 * r90009;
        double r90011 = r90007 + r90010;
        double r90012 = c;
        double r90013 = i;
        double r90014 = r90012 * r90013;
        double r90015 = r90011 + r90014;
        return r90015;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r90016 = x;
        double r90017 = y;
        double r90018 = r90016 * r90017;
        double r90019 = z;
        double r90020 = t;
        double r90021 = r90019 * r90020;
        double r90022 = r90018 + r90021;
        double r90023 = a;
        double r90024 = b;
        double r90025 = r90023 * r90024;
        double r90026 = r90022 + r90025;
        double r90027 = c;
        double r90028 = i;
        double r90029 = r90027 * r90028;
        double r90030 = r90026 + r90029;
        return r90030;
}

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 2019325 
(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)))