Average Error: 6.3 → 1.9
Time: 8.6s
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 r729827 = 2.0;
        double r729828 = x;
        double r729829 = y;
        double r729830 = r729828 * r729829;
        double r729831 = z;
        double r729832 = t;
        double r729833 = r729831 * r729832;
        double r729834 = r729830 + r729833;
        double r729835 = a;
        double r729836 = b;
        double r729837 = c;
        double r729838 = r729836 * r729837;
        double r729839 = r729835 + r729838;
        double r729840 = r729839 * r729837;
        double r729841 = i;
        double r729842 = r729840 * r729841;
        double r729843 = r729834 - r729842;
        double r729844 = r729827 * r729843;
        return r729844;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r729845 = 2.0;
        double r729846 = x;
        double r729847 = y;
        double r729848 = r729846 * r729847;
        double r729849 = z;
        double r729850 = t;
        double r729851 = r729849 * r729850;
        double r729852 = r729848 + r729851;
        double r729853 = a;
        double r729854 = b;
        double r729855 = c;
        double r729856 = r729854 * r729855;
        double r729857 = r729853 + r729856;
        double r729858 = i;
        double r729859 = r729855 * r729858;
        double r729860 = r729857 * r729859;
        double r729861 = r729852 - r729860;
        double r729862 = r729845 * r729861;
        return r729862;
}

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

Original6.3
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 6.3

    \[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)\]
  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 2019354 
(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))))