Average Error: 0.4 → 0.2
Time: 5.5s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
\frac{60}{\frac{z - t}{x - y}} + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r868034 = 60.0;
        double r868035 = x;
        double r868036 = y;
        double r868037 = r868035 - r868036;
        double r868038 = r868034 * r868037;
        double r868039 = z;
        double r868040 = t;
        double r868041 = r868039 - r868040;
        double r868042 = r868038 / r868041;
        double r868043 = a;
        double r868044 = 120.0;
        double r868045 = r868043 * r868044;
        double r868046 = r868042 + r868045;
        return r868046;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r868047 = 60.0;
        double r868048 = z;
        double r868049 = t;
        double r868050 = r868048 - r868049;
        double r868051 = x;
        double r868052 = y;
        double r868053 = r868051 - r868052;
        double r868054 = r868050 / r868053;
        double r868055 = r868047 / r868054;
        double r868056 = a;
        double r868057 = 120.0;
        double r868058 = r868056 * r868057;
        double r868059 = r868055 + r868058;
        return r868059;
}

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
Herbie0.2
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

Derivation

  1. Initial program 0.4

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

  3. Applied associate-/l*0.2

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

  4. Final simplification0.2

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

Reproduce

herbie shell --seed 2020062 
(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)))