Average Error: 0.5 → 0.1
Time: 5.7s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[60 \cdot \frac{x - y}{z - t} + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
60 \cdot \frac{x - y}{z - t} + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r899881 = 60.0;
        double r899882 = x;
        double r899883 = y;
        double r899884 = r899882 - r899883;
        double r899885 = r899881 * r899884;
        double r899886 = z;
        double r899887 = t;
        double r899888 = r899886 - r899887;
        double r899889 = r899885 / r899888;
        double r899890 = a;
        double r899891 = 120.0;
        double r899892 = r899890 * r899891;
        double r899893 = r899889 + r899892;
        return r899893;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r899894 = 60.0;
        double r899895 = x;
        double r899896 = y;
        double r899897 = r899895 - r899896;
        double r899898 = z;
        double r899899 = t;
        double r899900 = r899898 - r899899;
        double r899901 = r899897 / r899900;
        double r899902 = r899894 * r899901;
        double r899903 = a;
        double r899904 = 120.0;
        double r899905 = r899903 * r899904;
        double r899906 = r899902 + r899905;
        return r899906;
}

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

Derivation

  1. Initial program 0.5

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

  3. Applied *-un-lft-identity0.5

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

  4. Applied times-frac0.1

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

  5. Simplified0.1

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

  6. Final simplification0.1

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

Reproduce

herbie shell --seed 2020001 
(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)))