Average Error: 0.4 → 0.4
Time: 15.2s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r551871 = 60.0;
        double r551872 = x;
        double r551873 = y;
        double r551874 = r551872 - r551873;
        double r551875 = r551871 * r551874;
        double r551876 = z;
        double r551877 = t;
        double r551878 = r551876 - r551877;
        double r551879 = r551875 / r551878;
        double r551880 = a;
        double r551881 = 120.0;
        double r551882 = r551880 * r551881;
        double r551883 = r551879 + r551882;
        return r551883;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r551884 = 60.0;
        double r551885 = x;
        double r551886 = y;
        double r551887 = r551885 - r551886;
        double r551888 = r551884 * r551887;
        double r551889 = z;
        double r551890 = t;
        double r551891 = r551889 - r551890;
        double r551892 = r551888 / r551891;
        double r551893 = a;
        double r551894 = 120.0;
        double r551895 = r551893 * r551894;
        double r551896 = r551892 + r551895;
        return r551896;
}

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

Derivation

  1. Initial program 0.4

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

  3. Applied *-un-lft-identity0.4

    \[\leadsto \frac{60 \cdot \left(x - y\right)}{\color{blue}{1 \cdot \left(z - t\right)}} + a \cdot 120\]

  4. Applied times-frac0.2

    \[\leadsto \color{blue}{\frac{60}{1} \cdot \frac{x - y}{z - t}} + a \cdot 120\]

  5. Simplified0.2

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

  7. Applied div-inv0.2

    \[\leadsto 60 \cdot \color{blue}{\left(\left(x - y\right) \cdot \frac{1}{z - t}\right)} + a \cdot 120\]

  8. Final simplification0.4

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

Reproduce

herbie shell --seed 2019291 
(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)))