Average Error: 0.4 → 0.2
Time: 5.7s
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 r936247 = 60.0;
        double r936248 = x;
        double r936249 = y;
        double r936250 = r936248 - r936249;
        double r936251 = r936247 * r936250;
        double r936252 = z;
        double r936253 = t;
        double r936254 = r936252 - r936253;
        double r936255 = r936251 / r936254;
        double r936256 = a;
        double r936257 = 120.0;
        double r936258 = r936256 * r936257;
        double r936259 = r936255 + r936258;
        return r936259;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r936260 = 60.0;
        double r936261 = z;
        double r936262 = t;
        double r936263 = r936261 - r936262;
        double r936264 = x;
        double r936265 = y;
        double r936266 = r936264 - r936265;
        double r936267 = r936263 / r936266;
        double r936268 = r936260 / r936267;
        double r936269 = a;
        double r936270 = 120.0;
        double r936271 = r936269 * r936270;
        double r936272 = r936268 + r936271;
        return r936272;
}

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)))