Average Error: 0.4 → 0.2
Time: 10.6s
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 r948172 = 60.0;
        double r948173 = x;
        double r948174 = y;
        double r948175 = r948173 - r948174;
        double r948176 = r948172 * r948175;
        double r948177 = z;
        double r948178 = t;
        double r948179 = r948177 - r948178;
        double r948180 = r948176 / r948179;
        double r948181 = a;
        double r948182 = 120.0;
        double r948183 = r948181 * r948182;
        double r948184 = r948180 + r948183;
        return r948184;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r948185 = 60.0;
        double r948186 = z;
        double r948187 = t;
        double r948188 = r948186 - r948187;
        double r948189 = x;
        double r948190 = y;
        double r948191 = r948189 - r948190;
        double r948192 = r948188 / r948191;
        double r948193 = r948185 / r948192;
        double r948194 = a;
        double r948195 = 120.0;
        double r948196 = r948194 * r948195;
        double r948197 = r948193 + r948196;
        return r948197;
}

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 2020047 
(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)))