Average Error: 6.4 → 1.7
Time: 7.3s
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 r776669 = 2.0;
        double r776670 = x;
        double r776671 = y;
        double r776672 = r776670 * r776671;
        double r776673 = z;
        double r776674 = t;
        double r776675 = r776673 * r776674;
        double r776676 = r776672 + r776675;
        double r776677 = a;
        double r776678 = b;
        double r776679 = c;
        double r776680 = r776678 * r776679;
        double r776681 = r776677 + r776680;
        double r776682 = r776681 * r776679;
        double r776683 = i;
        double r776684 = r776682 * r776683;
        double r776685 = r776676 - r776684;
        double r776686 = r776669 * r776685;
        return r776686;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r776687 = 2.0;
        double r776688 = x;
        double r776689 = y;
        double r776690 = r776688 * r776689;
        double r776691 = z;
        double r776692 = t;
        double r776693 = r776691 * r776692;
        double r776694 = r776690 + r776693;
        double r776695 = a;
        double r776696 = b;
        double r776697 = c;
        double r776698 = r776696 * r776697;
        double r776699 = r776695 + r776698;
        double r776700 = i;
        double r776701 = r776697 * r776700;
        double r776702 = r776699 * r776701;
        double r776703 = r776694 - r776702;
        double r776704 = r776687 * r776703;
        return r776704;
}

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

Original6.4
Target1.7
Herbie1.7
\[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]

Derivation

  1. Initial program 6.4

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

  3. Applied associate-*l*1.7

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

  4. Final simplification1.7

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

Reproduce

herbie shell --seed 2019353 
(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))))