Average Error: 0.4 → 0.1
Time: 4.9s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[\frac{60}{z - t} \cdot \left(x - y\right) + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
\frac{60}{z - t} \cdot \left(x - y\right) + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r853844 = 60.0;
        double r853845 = x;
        double r853846 = y;
        double r853847 = r853845 - r853846;
        double r853848 = r853844 * r853847;
        double r853849 = z;
        double r853850 = t;
        double r853851 = r853849 - r853850;
        double r853852 = r853848 / r853851;
        double r853853 = a;
        double r853854 = 120.0;
        double r853855 = r853853 * r853854;
        double r853856 = r853852 + r853855;
        return r853856;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r853857 = 60.0;
        double r853858 = z;
        double r853859 = t;
        double r853860 = r853858 - r853859;
        double r853861 = r853857 / r853860;
        double r853862 = x;
        double r853863 = y;
        double r853864 = r853862 - r853863;
        double r853865 = r853861 * r853864;
        double r853866 = a;
        double r853867 = 120.0;
        double r853868 = r853866 * r853867;
        double r853869 = r853865 + r853868;
        return r853869;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.4
Target0.2
Herbie0.1
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

Derivation

  1. Initial program 0.4

    \[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
  2. Using strategy rm

  3. Applied associate-/l*0.2

    \[\leadsto \color{blue}{\frac{60}{\frac{z - t}{x - y}}} + a \cdot 120\]
  4. Using strategy rm

  5. Applied associate-/r/0.1

    \[\leadsto \color{blue}{\frac{60}{z - t} \cdot \left(x - y\right)} + a \cdot 120\]

  6. Final simplification0.1

    \[\leadsto \frac{60}{z - t} \cdot \left(x - y\right) + a \cdot 120\]

Reproduce

herbie shell --seed 2020035 
(FPCore (x y z t a)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, B"
  :precision binary64

  :herbie-target
  (+ (/ 60 (/ (- z t) (- x y))) (* a 120))

  (+ (/ (* 60 (- x y)) (- z t)) (* a 120)))