Average Error: 6.2 → 1.9
Time: 9.4s
Precision: 64
\[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)\]
↓
\[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]
2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)
↓
2 \cdot \left(\left(x \cdot y + 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 r734920 = 2.0;
        double r734921 = x;
        double r734922 = y;
        double r734923 = r734921 * r734922;
        double r734924 = z;
        double r734925 = t;
        double r734926 = r734924 * r734925;
        double r734927 = r734923 + r734926;
        double r734928 = a;
        double r734929 = b;
        double r734930 = c;
        double r734931 = r734929 * r734930;
        double r734932 = r734928 + r734931;
        double r734933 = r734932 * r734930;
        double r734934 = i;
        double r734935 = r734933 * r734934;
        double r734936 = r734927 - r734935;
        double r734937 = r734920 * r734936;
        return r734937;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r734938 = 2.0;
        double r734939 = x;
        double r734940 = y;
        double r734941 = r734939 * r734940;
        double r734942 = z;
        double r734943 = t;
        double r734944 = r734942 * r734943;
        double r734945 = r734941 + r734944;
        double r734946 = a;
        double r734947 = b;
        double r734948 = c;
        double r734949 = r734947 * r734948;
        double r734950 = r734946 + r734949;
        double r734951 = i;
        double r734952 = r734948 * r734951;
        double r734953 = r734950 * r734952;
        double r734954 = r734945 - r734953;
        double r734955 = r734938 * r734954;
        return r734955;
}

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
Target1.9
Herbie1.9
\[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]

Derivation

  1. Initial program 6.2

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

  3. Applied associate-*l*1.9

    \[\leadsto 2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \color{blue}{\left(a + b \cdot c\right) \cdot \left(c \cdot i\right)}\right)\]

  4. Final simplification1.9

    \[\leadsto 2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]

Reproduce

herbie shell --seed 2020036 
(FPCore (x y z t a b c i)
  :name "Diagrams.ThreeD.Shapes:frustum from diagrams-lib-1.3.0.3, A"
  :precision binary64

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

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