Average Error: 0.5 → 0.2
Time: 24.2s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[\left(x - y\right) \cdot \frac{60}{z - t} + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
\left(x - y\right) \cdot \frac{60}{z - t} + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r36950889 = 60.0;
        double r36950890 = x;
        double r36950891 = y;
        double r36950892 = r36950890 - r36950891;
        double r36950893 = r36950889 * r36950892;
        double r36950894 = z;
        double r36950895 = t;
        double r36950896 = r36950894 - r36950895;
        double r36950897 = r36950893 / r36950896;
        double r36950898 = a;
        double r36950899 = 120.0;
        double r36950900 = r36950898 * r36950899;
        double r36950901 = r36950897 + r36950900;
        return r36950901;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r36950902 = x;
        double r36950903 = y;
        double r36950904 = r36950902 - r36950903;
        double r36950905 = 60.0;
        double r36950906 = z;
        double r36950907 = t;
        double r36950908 = r36950906 - r36950907;
        double r36950909 = r36950905 / r36950908;
        double r36950910 = r36950904 * r36950909;
        double r36950911 = a;
        double r36950912 = 120.0;
        double r36950913 = r36950911 * r36950912;
        double r36950914 = r36950910 + r36950913;
        return r36950914;
}

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
Target0.1
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*0.1

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

  5. Applied associate-/r/0.2

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

  6. Final simplification0.2

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

Reproduce

herbie shell --seed 2019192 
(FPCore (x y z t a)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, B"

  :herbie-target
  (+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))

  (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0)))