Average Error: 0.5 → 0.2
Time: 4.9s
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 r705829 = 60.0;
        double r705830 = x;
        double r705831 = y;
        double r705832 = r705830 - r705831;
        double r705833 = r705829 * r705832;
        double r705834 = z;
        double r705835 = t;
        double r705836 = r705834 - r705835;
        double r705837 = r705833 / r705836;
        double r705838 = a;
        double r705839 = 120.0;
        double r705840 = r705838 * r705839;
        double r705841 = r705837 + r705840;
        return r705841;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r705842 = 60.0;
        double r705843 = x;
        double r705844 = y;
        double r705845 = r705843 - r705844;
        double r705846 = z;
        double r705847 = t;
        double r705848 = r705846 - r705847;
        double r705849 = r705845 / r705848;
        double r705850 = r705842 * r705849;
        double r705851 = a;
        double r705852 = 120.0;
        double r705853 = r705851 * r705852;
        double r705854 = r705850 + r705853;
        return r705854;
}

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 *-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-frac0.2

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

  5. Simplified0.2

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

  6. Final simplification0.2

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

Reproduce

herbie shell --seed 2020046 
(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)))