Average Error: 0.5 → 0.1
Time: 9.1s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[60 \cdot \left(\frac{x}{z - t} - \frac{y}{z - t}\right) + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
60 \cdot \left(\frac{x}{z - t} - \frac{y}{z - t}\right) + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r2262 = 60.0;
        double r2263 = x;
        double r2264 = y;
        double r2265 = r2263 - r2264;
        double r2266 = r2262 * r2265;
        double r2267 = z;
        double r2268 = t;
        double r2269 = r2267 - r2268;
        double r2270 = r2266 / r2269;
        double r2271 = a;
        double r2272 = 120.0;
        double r2273 = r2271 * r2272;
        double r2274 = r2270 + r2273;
        return r2274;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r2275 = 60.0;
        double r2276 = x;
        double r2277 = z;
        double r2278 = t;
        double r2279 = r2277 - r2278;
        double r2280 = r2276 / r2279;
        double r2281 = y;
        double r2282 = r2281 / r2279;
        double r2283 = r2280 - r2282;
        double r2284 = r2275 * r2283;
        double r2285 = a;
        double r2286 = 120.0;
        double r2287 = r2285 * r2286;
        double r2288 = r2284 + r2287;
        return r2288;
}

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
Target0.2
Herbie0.1
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

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-frac0.1

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

  5. Simplified0.1

    \[\leadsto \color{blue}{60} \cdot \frac{x - y}{z - t} + a \cdot 120\]
  6. Using strategy rm

  7. Applied div-sub0.1

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

  8. Final simplification0.1

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

Reproduce

herbie shell --seed 2020025 
(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)))