Average Error: 6.2 → 1.7
Time: 26.9s
Precision: 64
\[2.0 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)\]
↓
\[2.0 \cdot \left(\left(y \cdot x + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]
2.0 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)
↓
2.0 \cdot \left(\left(y \cdot x + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r34020864 = 2.0;
        double r34020865 = x;
        double r34020866 = y;
        double r34020867 = r34020865 * r34020866;
        double r34020868 = z;
        double r34020869 = t;
        double r34020870 = r34020868 * r34020869;
        double r34020871 = r34020867 + r34020870;
        double r34020872 = a;
        double r34020873 = b;
        double r34020874 = c;
        double r34020875 = r34020873 * r34020874;
        double r34020876 = r34020872 + r34020875;
        double r34020877 = r34020876 * r34020874;
        double r34020878 = i;
        double r34020879 = r34020877 * r34020878;
        double r34020880 = r34020871 - r34020879;
        double r34020881 = r34020864 * r34020880;
        return r34020881;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r34020882 = 2.0;
        double r34020883 = y;
        double r34020884 = x;
        double r34020885 = r34020883 * r34020884;
        double r34020886 = z;
        double r34020887 = t;
        double r34020888 = r34020886 * r34020887;
        double r34020889 = r34020885 + r34020888;
        double r34020890 = a;
        double r34020891 = b;
        double r34020892 = c;
        double r34020893 = r34020891 * r34020892;
        double r34020894 = r34020890 + r34020893;
        double r34020895 = i;
        double r34020896 = r34020892 * r34020895;
        double r34020897 = r34020894 * r34020896;
        double r34020898 = r34020889 - r34020897;
        double r34020899 = r34020882 * r34020898;
        return r34020899;
}

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

Target

Original6.2
Target1.7
Herbie1.7
\[2.0 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]

Derivation

  1. Initial program 6.2

    \[2.0 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)\]
  2. Using strategy rm

  3. Applied associate-*l*1.7

    \[\leadsto 2.0 \cdot \left(\left(x \cdot y + z \cdot t\right) - \color{blue}{\left(a + b \cdot c\right) \cdot \left(c \cdot i\right)}\right)\]

  4. Final simplification1.7

    \[\leadsto 2.0 \cdot \left(\left(y \cdot x + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]

Reproduce

herbie shell --seed 2019168 
(FPCore (x y z t a b c i)
  :name "Diagrams.ThreeD.Shapes:frustum from diagrams-lib-1.3.0.3, A"

  :herbie-target
  (* 2.0 (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))

  (* 2.0 (- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))))