Average Error: 6.3 → 1.8
Time: 33.6s
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 r475794 = 2.0;
        double r475795 = x;
        double r475796 = y;
        double r475797 = r475795 * r475796;
        double r475798 = z;
        double r475799 = t;
        double r475800 = r475798 * r475799;
        double r475801 = r475797 + r475800;
        double r475802 = a;
        double r475803 = b;
        double r475804 = c;
        double r475805 = r475803 * r475804;
        double r475806 = r475802 + r475805;
        double r475807 = r475806 * r475804;
        double r475808 = i;
        double r475809 = r475807 * r475808;
        double r475810 = r475801 - r475809;
        double r475811 = r475794 * r475810;
        return r475811;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r475812 = 2.0;
        double r475813 = x;
        double r475814 = y;
        double r475815 = r475813 * r475814;
        double r475816 = z;
        double r475817 = t;
        double r475818 = r475816 * r475817;
        double r475819 = r475815 + r475818;
        double r475820 = a;
        double r475821 = b;
        double r475822 = c;
        double r475823 = r475821 * r475822;
        double r475824 = r475820 + r475823;
        double r475825 = i;
        double r475826 = r475822 * r475825;
        double r475827 = r475824 * r475826;
        double r475828 = r475819 - r475827;
        double r475829 = r475812 * r475828;
        return r475829;
}

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
Target1.8
Herbie1.8
\[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]

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*1.8

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

  4. Final simplification1.8

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

Reproduce

herbie shell --seed 2019325 
(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))))