Average Error: 6.4 → 1.8
Time: 21.7s
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 r949803 = 2.0;
        double r949804 = x;
        double r949805 = y;
        double r949806 = r949804 * r949805;
        double r949807 = z;
        double r949808 = t;
        double r949809 = r949807 * r949808;
        double r949810 = r949806 + r949809;
        double r949811 = a;
        double r949812 = b;
        double r949813 = c;
        double r949814 = r949812 * r949813;
        double r949815 = r949811 + r949814;
        double r949816 = r949815 * r949813;
        double r949817 = i;
        double r949818 = r949816 * r949817;
        double r949819 = r949810 - r949818;
        double r949820 = r949803 * r949819;
        return r949820;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r949821 = 2.0;
        double r949822 = x;
        double r949823 = y;
        double r949824 = r949822 * r949823;
        double r949825 = z;
        double r949826 = t;
        double r949827 = r949825 * r949826;
        double r949828 = r949824 + r949827;
        double r949829 = a;
        double r949830 = b;
        double r949831 = c;
        double r949832 = r949830 * r949831;
        double r949833 = r949829 + r949832;
        double r949834 = i;
        double r949835 = r949831 * r949834;
        double r949836 = r949833 * r949835;
        double r949837 = r949828 - r949836;
        double r949838 = r949821 * r949837;
        return r949838;
}

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
Target1.8
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 6.4

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

  3. Applied associate-*l*1.8

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

  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 2020042 
(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))))