Average Error: 0.4 → 0.2
Time: 4.3s
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 r840258 = 60.0;
        double r840259 = x;
        double r840260 = y;
        double r840261 = r840259 - r840260;
        double r840262 = r840258 * r840261;
        double r840263 = z;
        double r840264 = t;
        double r840265 = r840263 - r840264;
        double r840266 = r840262 / r840265;
        double r840267 = a;
        double r840268 = 120.0;
        double r840269 = r840267 * r840268;
        double r840270 = r840266 + r840269;
        return r840270;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r840271 = 60.0;
        double r840272 = x;
        double r840273 = y;
        double r840274 = r840272 - r840273;
        double r840275 = z;
        double r840276 = t;
        double r840277 = r840275 - r840276;
        double r840278 = r840274 / r840277;
        double r840279 = r840271 * r840278;
        double r840280 = a;
        double r840281 = 120.0;
        double r840282 = r840280 * r840281;
        double r840283 = r840279 + r840282;
        return r840283;
}

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 *-un-lft-identity0.4

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

  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 2020060 
(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)))