Average Error: 0.5 → 0.2
Time: 5.6s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
\frac{60}{\frac{z - t}{x - y}} + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r1688910 = 60.0;
        double r1688911 = x;
        double r1688912 = y;
        double r1688913 = r1688911 - r1688912;
        double r1688914 = r1688910 * r1688913;
        double r1688915 = z;
        double r1688916 = t;
        double r1688917 = r1688915 - r1688916;
        double r1688918 = r1688914 / r1688917;
        double r1688919 = a;
        double r1688920 = 120.0;
        double r1688921 = r1688919 * r1688920;
        double r1688922 = r1688918 + r1688921;
        return r1688922;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r1688923 = 60.0;
        double r1688924 = z;
        double r1688925 = t;
        double r1688926 = r1688924 - r1688925;
        double r1688927 = x;
        double r1688928 = y;
        double r1688929 = r1688927 - r1688928;
        double r1688930 = r1688926 / r1688929;
        double r1688931 = r1688923 / r1688930;
        double r1688932 = a;
        double r1688933 = 120.0;
        double r1688934 = r1688932 * r1688933;
        double r1688935 = r1688931 + r1688934;
        return r1688935;
}

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

Original0.5
Target0.2
Herbie0.2
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

Derivation

  1. Initial program 0.5

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

  3. Applied associate-/l*0.2

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

  4. Final simplification0.2

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

Reproduce

herbie shell --seed 2020057 
(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)))