Average Error: 0.4 → 0.1
Time: 11.9s
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 r578877 = 60.0;
        double r578878 = x;
        double r578879 = y;
        double r578880 = r578878 - r578879;
        double r578881 = r578877 * r578880;
        double r578882 = z;
        double r578883 = t;
        double r578884 = r578882 - r578883;
        double r578885 = r578881 / r578884;
        double r578886 = a;
        double r578887 = 120.0;
        double r578888 = r578886 * r578887;
        double r578889 = r578885 + r578888;
        return r578889;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r578890 = 60.0;
        double r578891 = x;
        double r578892 = y;
        double r578893 = r578891 - r578892;
        double r578894 = z;
        double r578895 = t;
        double r578896 = r578894 - r578895;
        double r578897 = r578893 / r578896;
        double r578898 = r578890 * r578897;
        double r578899 = a;
        double r578900 = 120.0;
        double r578901 = r578899 * r578900;
        double r578902 = r578898 + r578901;
        return r578902;
}

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 *-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-frac0.1

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

  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 2019297 
(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)))